diff options
author | Stanislaw Halik <sthalik@misaki.pl> | 2016-09-18 12:42:15 +0200 |
---|---|---|
committer | Stanislaw Halik <sthalik@misaki.pl> | 2016-11-02 15:12:04 +0100 |
commit | 44861dcbfeee041223c4aac1ee075e92fa4daa01 (patch) | |
tree | 6dfdfd9637846a7aedd71ace97d7d2ad366496d7 /eigen/blas/testing | |
parent | f3fe458b9e0a29a99a39d47d9a76dc18964b6fec (diff) |
update
Diffstat (limited to 'eigen/blas/testing')
-rw-r--r-- | eigen/blas/testing/CMakeLists.txt | 40 | ||||
-rw-r--r-- | eigen/blas/testing/cblat1.f | 681 | ||||
-rw-r--r-- | eigen/blas/testing/cblat2.dat | 35 | ||||
-rw-r--r-- | eigen/blas/testing/cblat2.f | 3241 | ||||
-rw-r--r-- | eigen/blas/testing/cblat3.dat | 23 | ||||
-rw-r--r-- | eigen/blas/testing/cblat3.f | 3439 | ||||
-rw-r--r-- | eigen/blas/testing/dblat1.f | 1065 | ||||
-rw-r--r-- | eigen/blas/testing/dblat2.dat | 34 | ||||
-rw-r--r-- | eigen/blas/testing/dblat2.f | 3138 | ||||
-rw-r--r-- | eigen/blas/testing/dblat3.dat | 20 | ||||
-rw-r--r-- | eigen/blas/testing/dblat3.f | 2823 | ||||
-rw-r--r-- | eigen/blas/testing/runblastest.sh | 45 | ||||
-rw-r--r-- | eigen/blas/testing/sblat1.f | 1021 | ||||
-rw-r--r-- | eigen/blas/testing/sblat2.dat | 34 | ||||
-rw-r--r-- | eigen/blas/testing/sblat2.f | 3138 | ||||
-rw-r--r-- | eigen/blas/testing/sblat3.dat | 20 | ||||
-rw-r--r-- | eigen/blas/testing/sblat3.f | 2823 | ||||
-rw-r--r-- | eigen/blas/testing/zblat1.f | 681 | ||||
-rw-r--r-- | eigen/blas/testing/zblat2.dat | 35 | ||||
-rw-r--r-- | eigen/blas/testing/zblat2.f | 3249 | ||||
-rw-r--r-- | eigen/blas/testing/zblat3.dat | 23 | ||||
-rw-r--r-- | eigen/blas/testing/zblat3.f | 3445 |
22 files changed, 29053 insertions, 0 deletions
diff --git a/eigen/blas/testing/CMakeLists.txt b/eigen/blas/testing/CMakeLists.txt new file mode 100644 index 0000000..3ab8026 --- /dev/null +++ b/eigen/blas/testing/CMakeLists.txt @@ -0,0 +1,40 @@ + +macro(ei_add_blas_test testname) + + set(targetname ${testname}) + + set(filename ${testname}.f) + add_executable(${targetname} ${filename}) + + target_link_libraries(${targetname} eigen_blas) + + if(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO) + target_link_libraries(${targetname} ${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO}) + endif() + + target_link_libraries(${targetname} ${EXTERNAL_LIBS}) + + add_test(${testname} "${Eigen_SOURCE_DIR}/blas/testing/runblastest.sh" "${testname}" "${Eigen_SOURCE_DIR}/blas/testing/${testname}.dat") + add_dependencies(buildtests ${targetname}) + +endmacro(ei_add_blas_test) + +ei_add_blas_test(sblat1) +ei_add_blas_test(sblat2) +ei_add_blas_test(sblat3) + +ei_add_blas_test(dblat1) +ei_add_blas_test(dblat2) +ei_add_blas_test(dblat3) + +ei_add_blas_test(cblat1) +ei_add_blas_test(cblat2) +ei_add_blas_test(cblat3) + +ei_add_blas_test(zblat1) +ei_add_blas_test(zblat2) +ei_add_blas_test(zblat3) + +# add_custom_target(level1) +# add_dependencies(level1 sblat1) + diff --git a/eigen/blas/testing/cblat1.f b/eigen/blas/testing/cblat1.f new file mode 100644 index 0000000..a4c996f --- /dev/null +++ b/eigen/blas/testing/cblat1.f @@ -0,0 +1,681 @@ + PROGRAM CBLAT1 +* Test program for the COMPLEX Level 1 BLAS. +* Based upon the original BLAS test routine together with: +* F06GAF Example Program Text +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + REAL SFAC + INTEGER IC +* .. External Subroutines .. + EXTERNAL CHECK1, CHECK2, HEADER +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA SFAC/9.765625E-4/ +* .. Executable Statements .. + WRITE (NOUT,99999) + DO 20 IC = 1, 10 + ICASE = IC + CALL HEADER +* +* Initialize PASS, INCX, INCY, and MODE for a new case. +* The value 9999 for INCX, INCY or MODE will appear in the +* detailed output, if any, for cases that do not involve +* these parameters. +* + PASS = .TRUE. + INCX = 9999 + INCY = 9999 + MODE = 9999 + IF (ICASE.LE.5) THEN + CALL CHECK2(SFAC) + ELSE IF (ICASE.GE.6) THEN + CALL CHECK1(SFAC) + END IF +* -- Print + IF (PASS) WRITE (NOUT,99998) + 20 CONTINUE + STOP +* +99999 FORMAT (' Complex BLAS Test Program Results',/1X) +99998 FORMAT (' ----- PASS -----') + END + SUBROUTINE HEADER +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Arrays .. + CHARACTER*6 L(10) +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA L(1)/'CDOTC '/ + DATA L(2)/'CDOTU '/ + DATA L(3)/'CAXPY '/ + DATA L(4)/'CCOPY '/ + DATA L(5)/'CSWAP '/ + DATA L(6)/'SCNRM2'/ + DATA L(7)/'SCASUM'/ + DATA L(8)/'CSCAL '/ + DATA L(9)/'CSSCAL'/ + DATA L(10)/'ICAMAX'/ +* .. Executable Statements .. + WRITE (NOUT,99999) ICASE, L(ICASE) + RETURN +* +99999 FORMAT (/' Test of subprogram number',I3,12X,A6) + END + SUBROUTINE CHECK1(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + COMPLEX CA + REAL SA + INTEGER I, J, LEN, NP1 +* .. Local Arrays .. + COMPLEX CTRUE5(8,5,2), CTRUE6(8,5,2), CV(8,5,2), CX(8), + + MWPCS(5), MWPCT(5) + REAL STRUE2(5), STRUE4(5) + INTEGER ITRUE3(5) +* .. External Functions .. + REAL SCASUM, SCNRM2 + INTEGER ICAMAX + EXTERNAL SCASUM, SCNRM2, ICAMAX +* .. External Subroutines .. + EXTERNAL CSCAL, CSSCAL, CTEST, ITEST1, STEST1 +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA SA, CA/0.3E0, (0.4E0,-0.7E0)/ + DATA ((CV(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (0.3E0,-0.4E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (0.1E0,-0.3E0), (0.5E0,-0.1E0), (5.0E0,6.0E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (0.1E0,0.1E0), + + (-0.6E0,0.1E0), (0.1E0,-0.3E0), (7.0E0,8.0E0), + + (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0), + + (7.0E0,8.0E0), (0.3E0,0.1E0), (0.1E0,0.4E0), + + (0.4E0,0.1E0), (0.1E0,0.2E0), (2.0E0,3.0E0), + + (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0)/ + DATA ((CV(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (0.3E0,-0.4E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (0.1E0,-0.3E0), (8.0E0,9.0E0), (0.5E0,-0.1E0), + + (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0), + + (2.0E0,5.0E0), (2.0E0,5.0E0), (0.1E0,0.1E0), + + (3.0E0,6.0E0), (-0.6E0,0.1E0), (4.0E0,7.0E0), + + (0.1E0,-0.3E0), (7.0E0,2.0E0), (7.0E0,2.0E0), + + (7.0E0,2.0E0), (0.3E0,0.1E0), (5.0E0,8.0E0), + + (0.1E0,0.4E0), (6.0E0,9.0E0), (0.4E0,0.1E0), + + (8.0E0,3.0E0), (0.1E0,0.2E0), (9.0E0,4.0E0)/ + DATA STRUE2/0.0E0, 0.5E0, 0.6E0, 0.7E0, 0.7E0/ + DATA STRUE4/0.0E0, 0.7E0, 1.0E0, 1.3E0, 1.7E0/ + DATA ((CTRUE5(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (-0.16E0,-0.37E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (-0.17E0,-0.19E0), (0.13E0,-0.39E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0), + + (0.11E0,-0.03E0), (-0.17E0,0.46E0), + + (-0.17E0,-0.19E0), (7.0E0,8.0E0), (7.0E0,8.0E0), + + (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0), + + (0.19E0,-0.17E0), (0.32E0,0.09E0), + + (0.23E0,-0.24E0), (0.18E0,0.01E0), + + (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0), + + (2.0E0,3.0E0)/ + DATA ((CTRUE5(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (-0.16E0,-0.37E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (-0.17E0,-0.19E0), (8.0E0,9.0E0), + + (0.13E0,-0.39E0), (2.0E0,5.0E0), (2.0E0,5.0E0), + + (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0), + + (0.11E0,-0.03E0), (3.0E0,6.0E0), + + (-0.17E0,0.46E0), (4.0E0,7.0E0), + + (-0.17E0,-0.19E0), (7.0E0,2.0E0), (7.0E0,2.0E0), + + (7.0E0,2.0E0), (0.19E0,-0.17E0), (5.0E0,8.0E0), + + (0.32E0,0.09E0), (6.0E0,9.0E0), + + (0.23E0,-0.24E0), (8.0E0,3.0E0), + + (0.18E0,0.01E0), (9.0E0,4.0E0)/ + DATA ((CTRUE6(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0), + + (1.0E0,2.0E0), (0.09E0,-0.12E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0), + + (0.03E0,-0.09E0), (0.15E0,-0.03E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0), + + (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0), + + (0.03E0,0.03E0), (-0.18E0,0.03E0), + + (0.03E0,-0.09E0), (7.0E0,8.0E0), (7.0E0,8.0E0), + + (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0), + + (0.09E0,0.03E0), (0.03E0,0.12E0), + + (0.12E0,0.03E0), (0.03E0,0.06E0), (2.0E0,3.0E0), + + (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0)/ + DATA ((CTRUE6(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0), + + (4.0E0,5.0E0), (0.09E0,-0.12E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0), + + (0.03E0,-0.09E0), (8.0E0,9.0E0), + + (0.15E0,-0.03E0), (2.0E0,5.0E0), (2.0E0,5.0E0), + + (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0), + + (0.03E0,0.03E0), (3.0E0,6.0E0), + + (-0.18E0,0.03E0), (4.0E0,7.0E0), + + (0.03E0,-0.09E0), (7.0E0,2.0E0), (7.0E0,2.0E0), + + (7.0E0,2.0E0), (0.09E0,0.03E0), (5.0E0,8.0E0), + + (0.03E0,0.12E0), (6.0E0,9.0E0), (0.12E0,0.03E0), + + (8.0E0,3.0E0), (0.03E0,0.06E0), (9.0E0,4.0E0)/ + DATA ITRUE3/0, 1, 2, 2, 2/ +* .. Executable Statements .. + DO 60 INCX = 1, 2 + DO 40 NP1 = 1, 5 + N = NP1 - 1 + LEN = 2*MAX(N,1) +* .. Set vector arguments .. + DO 20 I = 1, LEN + CX(I) = CV(I,NP1,INCX) + 20 CONTINUE + IF (ICASE.EQ.6) THEN +* .. SCNRM2 .. + CALL STEST1(SCNRM2(N,CX,INCX),STRUE2(NP1),STRUE2(NP1), + + SFAC) + ELSE IF (ICASE.EQ.7) THEN +* .. SCASUM .. + CALL STEST1(SCASUM(N,CX,INCX),STRUE4(NP1),STRUE4(NP1), + + SFAC) + ELSE IF (ICASE.EQ.8) THEN +* .. CSCAL .. + CALL CSCAL(N,CA,CX,INCX) + CALL CTEST(LEN,CX,CTRUE5(1,NP1,INCX),CTRUE5(1,NP1,INCX), + + SFAC) + ELSE IF (ICASE.EQ.9) THEN +* .. CSSCAL .. + CALL CSSCAL(N,SA,CX,INCX) + CALL CTEST(LEN,CX,CTRUE6(1,NP1,INCX),CTRUE6(1,NP1,INCX), + + SFAC) + ELSE IF (ICASE.EQ.10) THEN +* .. ICAMAX .. + CALL ITEST1(ICAMAX(N,CX,INCX),ITRUE3(NP1)) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK1' + STOP + END IF +* + 40 CONTINUE + 60 CONTINUE +* + INCX = 1 + IF (ICASE.EQ.8) THEN +* CSCAL +* Add a test for alpha equal to zero. + CA = (0.0E0,0.0E0) + DO 80 I = 1, 5 + MWPCT(I) = (0.0E0,0.0E0) + MWPCS(I) = (1.0E0,1.0E0) + 80 CONTINUE + CALL CSCAL(5,CA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) + ELSE IF (ICASE.EQ.9) THEN +* CSSCAL +* Add a test for alpha equal to zero. + SA = 0.0E0 + DO 100 I = 1, 5 + MWPCT(I) = (0.0E0,0.0E0) + MWPCS(I) = (1.0E0,1.0E0) + 100 CONTINUE + CALL CSSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) +* Add a test for alpha equal to one. + SA = 1.0E0 + DO 120 I = 1, 5 + MWPCT(I) = CX(I) + MWPCS(I) = CX(I) + 120 CONTINUE + CALL CSSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) +* Add a test for alpha equal to minus one. + SA = -1.0E0 + DO 140 I = 1, 5 + MWPCT(I) = -CX(I) + MWPCS(I) = -CX(I) + 140 CONTINUE + CALL CSSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) + END IF + RETURN + END + SUBROUTINE CHECK2(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + COMPLEX CA + INTEGER I, J, KI, KN, KSIZE, LENX, LENY, MX, MY +* .. Local Arrays .. + COMPLEX CDOT(1), CSIZE1(4), CSIZE2(7,2), CSIZE3(14), + + CT10X(7,4,4), CT10Y(7,4,4), CT6(4,4), CT7(4,4), + + CT8(7,4,4), CX(7), CX1(7), CY(7), CY1(7) + INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4) +* .. External Functions .. + COMPLEX CDOTC, CDOTU + EXTERNAL CDOTC, CDOTU +* .. External Subroutines .. + EXTERNAL CAXPY, CCOPY, CSWAP, CTEST +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA CA/(0.4E0,-0.7E0)/ + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA CX1/(0.7E0,-0.8E0), (-0.4E0,-0.7E0), + + (-0.1E0,-0.9E0), (0.2E0,-0.8E0), + + (-0.9E0,-0.4E0), (0.1E0,0.4E0), (-0.6E0,0.6E0)/ + DATA CY1/(0.6E0,-0.6E0), (-0.9E0,0.5E0), + + (0.7E0,-0.6E0), (0.1E0,-0.5E0), (-0.1E0,-0.2E0), + + (-0.5E0,-0.3E0), (0.8E0,-0.7E0)/ + DATA ((CT8(I,J,1),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.32E0,-1.41E0), + + (-1.55E0,0.5E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.32E0,-1.41E0), (-1.55E0,0.5E0), + + (0.03E0,-0.89E0), (-0.38E0,-0.96E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/ + DATA ((CT8(I,J,2),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (-0.07E0,-0.89E0), + + (-0.9E0,0.5E0), (0.42E0,-1.41E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.78E0,0.06E0), (-0.9E0,0.5E0), + + (0.06E0,-0.13E0), (0.1E0,-0.5E0), + + (-0.77E0,-0.49E0), (-0.5E0,-0.3E0), + + (0.52E0,-1.51E0)/ + DATA ((CT8(I,J,3),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (-0.07E0,-0.89E0), + + (-1.18E0,-0.31E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.78E0,0.06E0), (-1.54E0,0.97E0), + + (0.03E0,-0.89E0), (-0.18E0,-1.31E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/ + DATA ((CT8(I,J,4),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.32E0,-1.41E0), (-0.9E0,0.5E0), + + (0.05E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.32E0,-1.41E0), + + (-0.9E0,0.5E0), (0.05E0,-0.6E0), (0.1E0,-0.5E0), + + (-0.77E0,-0.49E0), (-0.5E0,-0.3E0), + + (0.32E0,-1.16E0)/ + DATA CT7/(0.0E0,0.0E0), (-0.06E0,-0.90E0), + + (0.65E0,-0.47E0), (-0.34E0,-1.22E0), + + (0.0E0,0.0E0), (-0.06E0,-0.90E0), + + (-0.59E0,-1.46E0), (-1.04E0,-0.04E0), + + (0.0E0,0.0E0), (-0.06E0,-0.90E0), + + (-0.83E0,0.59E0), (0.07E0,-0.37E0), + + (0.0E0,0.0E0), (-0.06E0,-0.90E0), + + (-0.76E0,-1.15E0), (-1.33E0,-1.82E0)/ + DATA CT6/(0.0E0,0.0E0), (0.90E0,0.06E0), + + (0.91E0,-0.77E0), (1.80E0,-0.10E0), + + (0.0E0,0.0E0), (0.90E0,0.06E0), (1.45E0,0.74E0), + + (0.20E0,0.90E0), (0.0E0,0.0E0), (0.90E0,0.06E0), + + (-0.55E0,0.23E0), (0.83E0,-0.39E0), + + (0.0E0,0.0E0), (0.90E0,0.06E0), (1.04E0,0.79E0), + + (1.95E0,1.22E0)/ + DATA ((CT10X(I,J,1),I=1,7),J=1,4)/(0.7E0,-0.8E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.6E0,-0.6E0), (-0.9E0,0.5E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.6E0,-0.6E0), + + (-0.9E0,0.5E0), (0.7E0,-0.6E0), (0.1E0,-0.5E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/ + DATA ((CT10X(I,J,2),I=1,7),J=1,4)/(0.7E0,-0.8E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.7E0,-0.6E0), (-0.4E0,-0.7E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.8E0,-0.7E0), + + (-0.4E0,-0.7E0), (-0.1E0,-0.2E0), + + (0.2E0,-0.8E0), (0.7E0,-0.6E0), (0.1E0,0.4E0), + + (0.6E0,-0.6E0)/ + DATA ((CT10X(I,J,3),I=1,7),J=1,4)/(0.7E0,-0.8E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (-0.9E0,0.5E0), (-0.4E0,-0.7E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.1E0,-0.5E0), + + (-0.4E0,-0.7E0), (0.7E0,-0.6E0), (0.2E0,-0.8E0), + + (-0.9E0,0.5E0), (0.1E0,0.4E0), (0.6E0,-0.6E0)/ + DATA ((CT10X(I,J,4),I=1,7),J=1,4)/(0.7E0,-0.8E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.6E0,-0.6E0), (0.7E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.6E0,-0.6E0), + + (0.7E0,-0.6E0), (-0.1E0,-0.2E0), (0.8E0,-0.7E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/ + DATA ((CT10Y(I,J,1),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.7E0,-0.8E0), (-0.4E0,-0.7E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.7E0,-0.8E0), + + (-0.4E0,-0.7E0), (-0.1E0,-0.9E0), + + (0.2E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0)/ + DATA ((CT10Y(I,J,2),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (-0.1E0,-0.9E0), (-0.9E0,0.5E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (-0.6E0,0.6E0), + + (-0.9E0,0.5E0), (-0.9E0,-0.4E0), (0.1E0,-0.5E0), + + (-0.1E0,-0.9E0), (-0.5E0,-0.3E0), + + (0.7E0,-0.8E0)/ + DATA ((CT10Y(I,J,3),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (-0.1E0,-0.9E0), (0.7E0,-0.8E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (-0.6E0,0.6E0), + + (-0.9E0,-0.4E0), (-0.1E0,-0.9E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0)/ + DATA ((CT10Y(I,J,4),I=1,7),J=1,4)/(0.6E0,-0.6E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.7E0,-0.8E0), (-0.9E0,0.5E0), + + (-0.4E0,-0.7E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.7E0,-0.8E0), + + (-0.9E0,0.5E0), (-0.4E0,-0.7E0), (0.1E0,-0.5E0), + + (-0.1E0,-0.9E0), (-0.5E0,-0.3E0), + + (0.2E0,-0.8E0)/ + DATA CSIZE1/(0.0E0,0.0E0), (0.9E0,0.9E0), + + (1.63E0,1.73E0), (2.90E0,2.78E0)/ + DATA CSIZE3/(0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (1.17E0,1.17E0), + + (1.17E0,1.17E0), (1.17E0,1.17E0), + + (1.17E0,1.17E0), (1.17E0,1.17E0), + + (1.17E0,1.17E0), (1.17E0,1.17E0)/ + DATA CSIZE2/(0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0), + + (0.0E0,0.0E0), (0.0E0,0.0E0), (1.54E0,1.54E0), + + (1.54E0,1.54E0), (1.54E0,1.54E0), + + (1.54E0,1.54E0), (1.54E0,1.54E0), + + (1.54E0,1.54E0), (1.54E0,1.54E0)/ +* .. Executable Statements .. + DO 60 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 40 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* .. initialize all argument arrays .. + DO 20 I = 1, 7 + CX(I) = CX1(I) + CY(I) = CY1(I) + 20 CONTINUE + IF (ICASE.EQ.1) THEN +* .. CDOTC .. + CDOT(1) = CDOTC(N,CX,INCX,CY,INCY) + CALL CTEST(1,CDOT,CT6(KN,KI),CSIZE1(KN),SFAC) + ELSE IF (ICASE.EQ.2) THEN +* .. CDOTU .. + CDOT(1) = CDOTU(N,CX,INCX,CY,INCY) + CALL CTEST(1,CDOT,CT7(KN,KI),CSIZE1(KN),SFAC) + ELSE IF (ICASE.EQ.3) THEN +* .. CAXPY .. + CALL CAXPY(N,CA,CX,INCX,CY,INCY) + CALL CTEST(LENY,CY,CT8(1,KN,KI),CSIZE2(1,KSIZE),SFAC) + ELSE IF (ICASE.EQ.4) THEN +* .. CCOPY .. + CALL CCOPY(N,CX,INCX,CY,INCY) + CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0E0) + ELSE IF (ICASE.EQ.5) THEN +* .. CSWAP .. + CALL CSWAP(N,CX,INCX,CY,INCY) + CALL CTEST(LENX,CX,CT10X(1,KN,KI),CSIZE3,1.0E0) + CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0E0) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK2' + STOP + END IF +* + 40 CONTINUE + 60 CONTINUE + RETURN + END + SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC) +* ********************************* STEST ************************** +* +* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO +* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE +* NEGLIGIBLE. +* +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC + INTEGER LEN +* .. Array Arguments .. + REAL SCOMP(LEN), SSIZE(LEN), STRUE(LEN) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + REAL SD + INTEGER I +* .. External Functions .. + REAL SDIFF + EXTERNAL SDIFF +* .. Intrinsic Functions .. + INTRINSIC ABS +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Executable Statements .. +* + DO 40 I = 1, LEN + SD = SCOMP(I) - STRUE(I) + IF (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0E0) + + GO TO 40 +* +* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I). +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, I, SCOMP(I), + + STRUE(I), SD, SSIZE(I) + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY MODE I ', + + ' COMP(I) TRUE(I) DIFFERENCE', + + ' SIZE(I)',/1X) +99997 FORMAT (1X,I4,I3,3I5,I3,2E36.8,2E12.4) + END + SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC) +* ************************* STEST1 ***************************** +* +* THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN +* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE +* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT. +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + REAL SCOMP1, SFAC, STRUE1 +* .. Array Arguments .. + REAL SSIZE(*) +* .. Local Arrays .. + REAL SCOMP(1), STRUE(1) +* .. External Subroutines .. + EXTERNAL STEST +* .. Executable Statements .. +* + SCOMP(1) = SCOMP1 + STRUE(1) = STRUE1 + CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC) +* + RETURN + END + REAL FUNCTION SDIFF(SA,SB) +* ********************************* SDIFF ************************** +* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15 +* +* .. Scalar Arguments .. + REAL SA, SB +* .. Executable Statements .. + SDIFF = SA - SB + RETURN + END + SUBROUTINE CTEST(LEN,CCOMP,CTRUE,CSIZE,SFAC) +* **************************** CTEST ***************************** +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + REAL SFAC + INTEGER LEN +* .. Array Arguments .. + COMPLEX CCOMP(LEN), CSIZE(LEN), CTRUE(LEN) +* .. Local Scalars .. + INTEGER I +* .. Local Arrays .. + REAL SCOMP(20), SSIZE(20), STRUE(20) +* .. External Subroutines .. + EXTERNAL STEST +* .. Intrinsic Functions .. + INTRINSIC AIMAG, REAL +* .. Executable Statements .. + DO 20 I = 1, LEN + SCOMP(2*I-1) = REAL(CCOMP(I)) + SCOMP(2*I) = AIMAG(CCOMP(I)) + STRUE(2*I-1) = REAL(CTRUE(I)) + STRUE(2*I) = AIMAG(CTRUE(I)) + SSIZE(2*I-1) = REAL(CSIZE(I)) + SSIZE(2*I) = AIMAG(CSIZE(I)) + 20 CONTINUE +* + CALL STEST(2*LEN,SCOMP,STRUE,SSIZE,SFAC) + RETURN + END + SUBROUTINE ITEST1(ICOMP,ITRUE) +* ********************************* ITEST1 ************************* +* +* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR +* EQUALITY. +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + INTEGER ICOMP, ITRUE +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER ID +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Executable Statements .. + IF (ICOMP.EQ.ITRUE) GO TO 40 +* +* HERE ICOMP IS NOT EQUAL TO ITRUE. +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 ID = ICOMP - ITRUE + WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, ICOMP, ITRUE, ID + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY MODE ', + + ' COMP TRUE DIFFERENCE', + + /1X) +99997 FORMAT (1X,I4,I3,3I5,2I36,I12) + END diff --git a/eigen/blas/testing/cblat2.dat b/eigen/blas/testing/cblat2.dat new file mode 100644 index 0000000..ae98730 --- /dev/null +++ b/eigen/blas/testing/cblat2.dat @@ -0,0 +1,35 @@ +'cblat2.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'cblat2.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +4 NUMBER OF VALUES OF K +0 1 2 4 VALUES OF K +4 NUMBER OF VALUES OF INCX AND INCY +1 2 -1 -2 VALUES OF INCX AND INCY +3 NUMBER OF VALUES OF ALPHA +(0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +(0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +CGEMV T PUT F FOR NO TEST. SAME COLUMNS. +CGBMV T PUT F FOR NO TEST. SAME COLUMNS. +CHEMV T PUT F FOR NO TEST. SAME COLUMNS. +CHBMV T PUT F FOR NO TEST. SAME COLUMNS. +CHPMV T PUT F FOR NO TEST. SAME COLUMNS. +CTRMV T PUT F FOR NO TEST. SAME COLUMNS. +CTBMV T PUT F FOR NO TEST. SAME COLUMNS. +CTPMV T PUT F FOR NO TEST. SAME COLUMNS. +CTRSV T PUT F FOR NO TEST. SAME COLUMNS. +CTBSV T PUT F FOR NO TEST. SAME COLUMNS. +CTPSV T PUT F FOR NO TEST. SAME COLUMNS. +CGERC T PUT F FOR NO TEST. SAME COLUMNS. +CGERU T PUT F FOR NO TEST. SAME COLUMNS. +CHER T PUT F FOR NO TEST. SAME COLUMNS. +CHPR T PUT F FOR NO TEST. SAME COLUMNS. +CHER2 T PUT F FOR NO TEST. SAME COLUMNS. +CHPR2 T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/cblat2.f b/eigen/blas/testing/cblat2.f new file mode 100644 index 0000000..20f1881 --- /dev/null +++ b/eigen/blas/testing/cblat2.f @@ -0,0 +1,3241 @@ + PROGRAM CBLAT2 +* +* Test program for the COMPLEX Level 2 Blas. +* +* The program must be driven by a short data file. The first 18 records +* of the file are read using list-directed input, the last 17 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 35 lines: +* 'CBLAT2.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'CBLA2T.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 4 NUMBER OF VALUES OF K +* 0 1 2 4 VALUES OF K +* 4 NUMBER OF VALUES OF INCX AND INCY +* 1 2 -1 -2 VALUES OF INCX AND INCY +* 3 NUMBER OF VALUES OF ALPHA +* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +* CGEMV T PUT F FOR NO TEST. SAME COLUMNS. +* CGBMV T PUT F FOR NO TEST. SAME COLUMNS. +* CHEMV T PUT F FOR NO TEST. SAME COLUMNS. +* CHBMV T PUT F FOR NO TEST. SAME COLUMNS. +* CHPMV T PUT F FOR NO TEST. SAME COLUMNS. +* CTRMV T PUT F FOR NO TEST. SAME COLUMNS. +* CTBMV T PUT F FOR NO TEST. SAME COLUMNS. +* CTPMV T PUT F FOR NO TEST. SAME COLUMNS. +* CTRSV T PUT F FOR NO TEST. SAME COLUMNS. +* CTBSV T PUT F FOR NO TEST. SAME COLUMNS. +* CTPSV T PUT F FOR NO TEST. SAME COLUMNS. +* CGERC T PUT F FOR NO TEST. SAME COLUMNS. +* CGERU T PUT F FOR NO TEST. SAME COLUMNS. +* CHER T PUT F FOR NO TEST. SAME COLUMNS. +* CHPR T PUT F FOR NO TEST. SAME COLUMNS. +* CHER2 T PUT F FOR NO TEST. SAME COLUMNS. +* CHPR2 T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J.. +* An extended set of Fortran Basic Linear Algebra Subprograms. +* +* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics +* and Computer Science Division, Argonne National Laboratory, +* 9700 South Cass Avenue, Argonne, Illinois 60439, US. +* +* Or +* +* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms +* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford +* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st +* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA. +* +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 17 ) + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + REAL RZERO, RHALF, RONE + PARAMETER ( RZERO = 0.0, RHALF = 0.5, RONE = 1.0 ) + INTEGER NMAX, INCMAX + PARAMETER ( NMAX = 65, INCMAX = 2 ) + INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX + PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7, + $ NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + REAL EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB, + $ NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANS + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( 2*NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + REAL SDIFF + LOGICAL LCE + EXTERNAL SDIFF, LCE +* .. External Subroutines .. + EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CCHK6, + $ CCHKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'CGEMV ', 'CGBMV ', 'CHEMV ', 'CHBMV ', + $ 'CHPMV ', 'CTRMV ', 'CTBMV ', 'CTPMV ', + $ 'CTRSV ', 'CTBSV ', 'CTPSV ', 'CGERC ', + $ 'CGERU ', 'CHER ', 'CHPR ', 'CHER2 ', + $ 'CHPR2 '/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 230 + END IF + 10 CONTINUE +* Values of K + READ( NIN, FMT = * )NKB + IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN + WRITE( NOUT, FMT = 9997 )'K', NKBMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( KB( I ), I = 1, NKB ) + DO 20 I = 1, NKB + IF( KB( I ).LT.0 )THEN + WRITE( NOUT, FMT = 9995 ) + GO TO 230 + END IF + 20 CONTINUE +* Values of INCX and INCY + READ( NIN, FMT = * )NINC + IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN + WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( INC( I ), I = 1, NINC ) + DO 30 I = 1, NINC + IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN + WRITE( NOUT, FMT = 9994 )INCMAX + GO TO 230 + END IF + 30 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9993 ) + WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB ) + WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC ) + WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9980 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 40 I = 1, NSUBS + LTEST( I ) = .FALSE. + 40 CONTINUE + 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT + DO 60 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 70 + 60 CONTINUE + WRITE( NOUT, FMT = 9986 )SNAMET + STOP + 70 LTEST( I ) = LTESTT + GO TO 50 +* + 80 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = RONE + 90 CONTINUE + IF( SDIFF( RONE + EPS, RONE ).EQ.RZERO ) + $ GO TO 100 + EPS = RHALF*EPS + GO TO 90 + 100 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of CMVCH using exact data. +* + N = MIN( 32, NMAX ) + DO 120 J = 1, N + DO 110 I = 1, N + A( I, J ) = MAX( I - J + 1, 0 ) + 110 CONTINUE + X( J ) = J + Y( J ) = ZERO + 120 CONTINUE + DO 130 J = 1, N + YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE +* YY holds the exact result. On exit from CMVCH YT holds +* the result computed by CMVCH. + TRANS = 'N' + CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF + TRANS = 'T' + CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 210 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL CCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 140, 150, 150, 150, 160, 160, + $ 160, 160, 160, 160, 170, 170, 180, + $ 180, 190, 190 )ISNUM +* Test CGEMV, 01, and CGBMV, 02. + 140 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test CHEMV, 03, CHBMV, 04, and CHPMV, 05. + 150 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test CTRMV, 06, CTBMV, 07, CTPMV, 08, +* CTRSV, 09, CTBSV, 10, and CTPSV, 11. + 160 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z ) + GO TO 200 +* Test CGERC, 12, CGERU, 13. + 170 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test CHER, 14, and CHPR, 15. + 180 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test CHER2, 16, and CHPR2, 17. + 190 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) +* + 200 IF( FATAL.AND.SFATAL ) + $ GO TO 220 + END IF + 210 CONTINUE + WRITE( NOUT, FMT = 9982 ) + GO TO 240 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9981 ) + GO TO 240 +* + 230 CONTINUE + WRITE( NOUT, FMT = 9987 ) +* + 240 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) + 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', + $ I2 ) + 9993 FORMAT( ' TESTS OF THE COMPLEX LEVEL 2 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9992 FORMAT( ' FOR N ', 9I6 ) + 9991 FORMAT( ' FOR K ', 7I6 ) + 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 ) + 9989 FORMAT( ' FOR ALPHA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9988 FORMAT( ' FOR BETA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9986 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9985 FORMAT( ' ERROR IN CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' CMVCH WAS CALLED WITH TRANS = ', A1, + $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', / + $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.' + $ , /' ******* TESTS ABANDONED *******' ) + 9984 FORMAT( A6, L2 ) + 9983 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9982 FORMAT( /' END OF TESTS' ) + 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of CBLAT2. +* + END + SUBROUTINE CCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests CGEMV and CGBMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BLS, TRANSL + REAL ERR, ERRMAX + INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA, + $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK, + $ NL, NS + LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN + CHARACTER*1 TRANS, TRANSS + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CGBMV, CGEMV, CMAKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 11 + ELSE IF( BANDED )THEN + NARGS = 13 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IKU = 1, NK + IF( BANDED )THEN + KU = KB( IKU ) + KL = MAX( KU - 1, 0 ) + ELSE + KU = N - 1 + KL = M - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = KL + KU + 1 + ELSE + LDA = M + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA, + $ LDA, KL, KU, RESET, TRANSL ) +* + DO 90 IC = 1, 3 + TRANS = ICH( IC: IC ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' +* + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*NL +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, NL, X, 1, XX, + $ ABS( INCX ), 0, NL - 1, RESET, TRANSL ) + IF( NL.GT.1 )THEN + X( NL/2 ) = ZERO + XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*ML +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL CMAKE( 'GE', ' ', ' ', 1, ML, Y, 1, + $ YY, ABS( INCY ), 0, ML - 1, + $ RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANSS = TRANS + MS = M + NS = N + KLS = KL + KUS = KU + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ TRANS, M, N, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL CGEMV( TRANS, M, N, ALPHA, AA, + $ LDA, XX, INCX, BETA, YY, + $ INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANS, M, N, KL, KU, ALPHA, LDA, + $ INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL CGBMV( TRANS, M, N, KL, KU, ALPHA, + $ AA, LDA, XX, INCX, BETA, + $ YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 130 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANS.EQ.TRANSS + ISAME( 2 ) = MS.EQ.M + ISAME( 3 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LCE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LCE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LCE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LCERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 4 ) = KLS.EQ.KL + ISAME( 5 ) = KUS.EQ.KU + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LCE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LCE( XS, XX, LX ) + ISAME( 10 ) = INCXS.EQ.INCX + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LCE( YS, YY, LY ) + ELSE + ISAME( 12 ) = LCERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 13 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 130 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL CMVCH( TRANS, M, N, ALPHA, A, + $ NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 130 + ELSE +* Avoid repeating tests with M.le.0 or +* N.le.0. + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 140 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, + $ ALPHA, LDA, INCX, BETA, INCY + END IF +* + 140 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK1. +* + END + SUBROUTINE CCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests CHEMV, CHBMV and CHPMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BLS, TRANSL + REAL ERR, ERRMAX + INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY, + $ N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHBMV, CHEMV, CHPMV, CMAKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 10 + ELSE IF( BANDED )THEN + NARGS = 11 + ELSE IF( PACKED )THEN + NARGS = 9 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA, + $ LDA, K, K, RESET, TRANSL ) +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL CMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + UPLOS = UPLO + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, N, ALPHA, LDA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL CHEMV( UPLO, N, ALPHA, AA, LDA, XX, + $ INCX, BETA, YY, INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, N, K, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL CHBMV( UPLO, N, K, ALPHA, AA, LDA, + $ XX, INCX, BETA, YY, INCY ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, N, ALPHA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL CHPMV( UPLO, N, ALPHA, AA, XX, INCX, + $ BETA, YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LCE( AS, AA, LAA ) + ISAME( 5 ) = LDAS.EQ.LDA + ISAME( 6 ) = LCE( XS, XX, LX ) + ISAME( 7 ) = INCXS.EQ.INCX + ISAME( 8 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LCE( YS, YY, LY ) + ELSE + ISAME( 9 ) = LCERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 10 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 3 ) = KS.EQ.K + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LCE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LCE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LCE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LCERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( PACKED )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LCE( AS, AA, LAA ) + ISAME( 5 ) = LCE( XS, XX, LX ) + ISAME( 6 ) = INCXS.EQ.INCX + ISAME( 7 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 8 ) = LCE( YS, YY, LY ) + ELSE + ISAME( 8 ) = LCERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 9 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL CMVCH( 'N', N, N, ALPHA, A, NMAX, X, + $ INCX, BETA, Y, INCY, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0 + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX, + $ BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ BETA, INCY + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), AP, X,', I2, ',(', F4.1, ',', F4.1, '), Y,', I2, + $ ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', F4.1, '), ', + $ 'Y,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK2. +* + END + SUBROUTINE CCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z ) +* +* Tests CTRMV, CTBMV, CTPMV, CTRSV, CTBSV and CTPSV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ), + $ ONE = ( 1.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX TRANSL + REAL ERR, ERRMAX + INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K, + $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHD, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CMAKE, CMVCH, CTBMV, CTBSV, CTPMV, CTPSV, + $ CTRMV, CTRSV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'R' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 8 + ELSE IF( BANDED )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 7 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* Set up zero vector for CMVCH. + DO 10 I = 1, NMAX + Z( I ) = ZERO + 10 CONTINUE +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) +* + DO 70 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A, + $ NMAX, AA, LDA, K, K, RESET, TRANSL ) +* + DO 60 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, + $ TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + DIAGS = DIAG + NS = N + KS = K + DO 20 I = 1, LAA + AS( I ) = AA( I ) + 20 CONTINUE + LDAS = LDA + DO 30 I = 1, LX + XS( I ) = XX( I ) + 30 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTRMV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTBMV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTPMV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTRSV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTBSV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL CTPSV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = TRANS.EQ.TRANSS + ISAME( 3 ) = DIAG.EQ.DIAGS + ISAME( 4 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 5 ) = LCE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 7 ) = LCE( XS, XX, LX ) + ELSE + ISAME( 7 ) = LCERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 8 ) = INCXS.EQ.INCX + ELSE IF( BANDED )THEN + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = LCE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 8 ) = LCE( XS, XX, LX ) + ELSE + ISAME( 8 ) = LCERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 9 ) = INCXS.EQ.INCX + ELSE IF( PACKED )THEN + ISAME( 5 ) = LCE( AS, AA, LAA ) + IF( NULL )THEN + ISAME( 6 ) = LCE( XS, XX, LX ) + ELSE + ISAME( 6 ) = LCERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 7 ) = INCXS.EQ.INCX + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MV' )THEN +* +* Check the result. +* + CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, + $ INCX, ZERO, Z, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN +* +* Compute approximation to original vector. +* + DO 50 I = 1, N + Z( I ) = XX( 1 + ( I - 1 )* + $ ABS( INCX ) ) + XX( 1 + ( I - 1 )*ABS( INCX ) ) + $ = X( I ) + 50 CONTINUE + CALL CMVCH( TRANS, N, N, ONE, A, NMAX, Z, + $ INCX, ZERO, X, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .FALSE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0. + GO TO 110 + END IF +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA, + $ INCX + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K, + $ LDA, INCX + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ', + $ 'X,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ), + $ ' A,', I3, ', X,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,', + $ I3, ', X,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK3. +* + END + SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests CGERC and CGERU. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ), + $ ONE = ( 1.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, TRANSL + REAL ERR, ERRMAX + INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS, + $ NC, ND, NS + LOGICAL CONJ, NULL, RESET, SAME +* .. Local Arrays .. + COMPLEX W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CGERC, CGERU, CMAKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, CONJG, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. + CONJ = SNAME( 5: 5 ).EQ.'C' +* Define the number of arguments. + NARGS = 9 +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* +* Set LDA to 1 more than minimum value if room. + LDA = M + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 100 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*M +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ), + $ 0, M - 1, RESET, TRANSL ) + IF( M.GT.1 )THEN + X( M/2 ) = ZERO + XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO + END IF +* + DO 90 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL CMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, + $ AA, LDA, M - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N, + $ ALPHA, INCX, INCY, LDA + IF( CONJ )THEN + IF( REWI ) + $ REWIND NTRA + CALL CGERC( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) + ELSE + IF( REWI ) + $ REWIND NTRA + CALL CGERU( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 140 + END IF +* +* See what data changed inside subroutine. +* + ISAME( 1 ) = MS.EQ.M + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LCE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LCE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LCE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LCERES( 'GE', ' ', M, N, AS, AA, + $ LDA ) + END IF + ISAME( 9 ) = LDAS.EQ.LDA +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 140 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, M + Z( I ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, M + Z( I ) = X( M - I + 1 ) + 60 CONTINUE + END IF + DO 70 J = 1, N + IF( INCY.GT.0 )THEN + W( 1 ) = Y( J ) + ELSE + W( 1 ) = Y( N - J + 1 ) + END IF + IF( CONJ ) + $ W( 1 ) = CONJG( W( 1 ) ) + CALL CMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1, + $ ONE, A( 1, J ), 1, YT, G, + $ AA( 1 + ( J - 1 )*LDA ), EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 130 + 70 CONTINUE + ELSE +* Avoid repeating tests with M.le.0 or N.le.0. + GO TO 110 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 150 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 140 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1, + $ '), X,', I2, ', Y,', I2, ', A,', I3, ') ', + $ ' .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK4. +* + END + SUBROUTINE CCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests CHER and CHPR. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ), + $ ONE = ( 1.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX ALPHA, TRANSL + REAL ERR, ERRMAX, RALPHA, RALS + INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA, + $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + COMPLEX W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHER, CHPR, CMAKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, CMPLX, CONJG, MAX, REAL +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 7 + ELSE IF( PACKED )THEN + NARGS = 6 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IA = 1, NALF + RALPHA = REAL( ALF( IA ) ) + ALPHA = CMPLX( RALPHA, RZERO ) + NULL = N.LE.0.OR.RALPHA.EQ.RZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, + $ AA, LDA, N - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + RALS = RALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ RALPHA, INCX, LDA + IF( REWI ) + $ REWIND NTRA + CALL CHER( UPLO, N, RALPHA, XX, INCX, AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ RALPHA, INCX + IF( REWI ) + $ REWIND NTRA + CALL CHPR( UPLO, N, RALPHA, XX, INCX, AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = RALS.EQ.RALPHA + ISAME( 4 ) = LCE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + IF( NULL )THEN + ISAME( 6 ) = LCE( AS, AA, LAA ) + ELSE + ISAME( 6 ) = LCERES( SNAME( 2: 3 ), UPLO, N, N, AS, + $ AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 7 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 40 I = 1, N + Z( I ) = X( I ) + 40 CONTINUE + ELSE + DO 50 I = 1, N + Z( I ) = X( N - I + 1 ) + 50 CONTINUE + END IF + JA = 1 + DO 60 J = 1, N + W( 1 ) = CONJG( Z( J ) ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL CMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W, + $ 1, ONE, A( JJ, J ), 1, YT, G, + $ AA( JA ), EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 110 + 60 CONTINUE + ELSE +* Avoid repeating tests if N.le.0. + IF( N.LE.0 ) + $ GO TO 100 + END IF +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, RALPHA, INCX, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, RALPHA, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK5. +* + END + SUBROUTINE CCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests CHER2 and CHPR2. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ), + $ ONE = ( 1.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX, 2 ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, TRANSL + REAL ERR, ERRMAX + INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N, + $ NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + COMPLEX W( 2 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHER2, CHPR2, CMAKE, CMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, CONJG, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 8 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 140 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 140 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 130 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 120 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL CMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 110 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL CMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 100 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, + $ NMAX, AA, LDA, N - 1, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL CHER2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY + IF( REWI ) + $ REWIND NTRA + CALL CHPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 160 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LCE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LCE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LCE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LCERES( SNAME( 2: 3 ), UPLO, N, N, + $ AS, AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 9 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 160 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, N + Z( I, 1 ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, N + Z( I, 1 ) = X( N - I + 1 ) + 60 CONTINUE + END IF + IF( INCY.GT.0 )THEN + DO 70 I = 1, N + Z( I, 2 ) = Y( I ) + 70 CONTINUE + ELSE + DO 80 I = 1, N + Z( I, 2 ) = Y( N - I + 1 ) + 80 CONTINUE + END IF + JA = 1 + DO 90 J = 1, N + W( 1 ) = ALPHA*CONJG( Z( J, 2 ) ) + W( 2 ) = CONJG( ALPHA )*CONJG( Z( J, 1 ) ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL CMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ), + $ NMAX, W, 1, ONE, A( JJ, J ), 1, + $ YT, G, AA( JA ), EPS, ERR, FATAL, + $ NOUT, .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 150 + 90 CONTINUE + ELSE +* Avoid repeating tests with N.le.0. + IF( N.LE.0 ) + $ GO TO 140 + END IF +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 170 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 160 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ INCY, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY + END IF +* + 170 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), X,', I2, ', Y,', I2, ', AP) ', + $ ' .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') ', + $ ' .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK6. +* + END + SUBROUTINE CCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 2 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, RALPHA, BETA, A, X and Y should not need to be defined. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + COMPLEX ALPHA, BETA + REAL RALPHA +* .. Local Arrays .. + COMPLEX A( 1, 1 ), X( 1 ), Y( 1 ) +* .. External Subroutines .. + EXTERNAL CGBMV, CGEMV, CGERC, CGERU, CHBMV, CHEMV, CHER, + $ CHER2, CHKXER, CHPMV, CHPR, CHPR2, CTBMV, + $ CTBSV, CTPMV, CTPSV, CTRMV, CTRSV +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90, 100, 110, 120, 130, 140, 150, 160, + $ 170 )ISNUM + 10 INFOT = 1 + CALL CGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 20 INFOT = 1 + CALL CGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 30 INFOT = 1 + CALL CHEMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHEMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CHEMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHEMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHEMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 40 INFOT = 1 + CALL CHBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CHBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CHBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CHBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 50 INFOT = 1 + CALL CHPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CHPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 60 INFOT = 1 + CALL CTRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 70 INFOT = 1 + CALL CTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 80 INFOT = 1 + CALL CTPMV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTPMV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTPMV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTPMV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CTPMV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 90 INFOT = 1 + CALL CTRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 100 INFOT = 1 + CALL CTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 110 INFOT = 1 + CALL CTPSV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTPSV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTPSV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTPSV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CTPSV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 120 INFOT = 1 + CALL CGERC( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGERC( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGERC( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CGERC( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CGERC( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 130 INFOT = 1 + CALL CGERU( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGERU( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGERU( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CGERU( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CGERU( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 140 INFOT = 1 + CALL CHER( '/', 0, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHER( 'U', -1, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CHER( 'U', 0, RALPHA, X, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER( 'U', 2, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 150 INFOT = 1 + CALL CHPR( '/', 0, RALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHPR( 'U', -1, RALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CHPR( 'U', 0, RALPHA, X, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 160 INFOT = 1 + CALL CHER2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHER2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CHER2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHER2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 170 INFOT = 1 + CALL CHPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CHPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHPR2( 'U', 0, ALPHA, X, 1, Y, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 180 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of CCHKE. +* + END + SUBROUTINE CMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL, + $ KU, RESET, TRANSL ) +* +* Generates values for an M by N matrix A within the bandwidth +* defined by KL and KU. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'GB', 'HE', 'HB', 'HP', 'TR', 'TB' OR 'TP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + COMPLEX ROGUE + PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) + REAL RROGUE + PARAMETER ( RROGUE = -1.0E10 ) +* .. Scalar Arguments .. + COMPLEX TRANSL + INTEGER KL, KU, LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + COMPLEX CBEG + EXTERNAL CBEG +* .. Intrinsic Functions .. + INTRINSIC CMPLX, CONJG, MAX, MIN, REAL +* .. Executable Statements .. + GEN = TYPE( 1: 1 ).EQ.'G' + SYM = TYPE( 1: 1 ).EQ.'H' + TRI = TYPE( 1: 1 ).EQ.'T' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + IF( ( I.LE.J.AND.J - I.LE.KU ).OR. + $ ( I.GE.J.AND.I - J.LE.KL ) )THEN + A( I, J ) = CBEG( RESET ) + TRANSL + ELSE + A( I, J ) = ZERO + END IF + IF( I.NE.J )THEN + IF( SYM )THEN + A( J, I ) = CONJG( A( I, J ) ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( SYM ) + $ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO ) + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'GB' )THEN + DO 90 J = 1, N + DO 60 I1 = 1, KU + 1 - J + AA( I1 + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J ) + AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) + 70 CONTINUE + DO 80 I3 = I2, LDA + AA( I3 + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'TR' )THEN + DO 130 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 100 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 100 CONTINUE + DO 110 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 110 CONTINUE + DO 120 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 120 CONTINUE + IF( SYM )THEN + JJ = J + ( J - 1 )*LDA + AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE ) + END IF + 130 CONTINUE + ELSE IF( TYPE.EQ.'HB'.OR.TYPE.EQ.'TB' )THEN + DO 170 J = 1, N + IF( UPPER )THEN + KK = KL + 1 + IBEG = MAX( 1, KL + 2 - J ) + IF( UNIT )THEN + IEND = KL + ELSE + IEND = KL + 1 + END IF + ELSE + KK = 1 + IF( UNIT )THEN + IBEG = 2 + ELSE + IBEG = 1 + END IF + IEND = MIN( KL + 1, 1 + M - J ) + END IF + DO 140 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 140 CONTINUE + DO 150 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) + 150 CONTINUE + DO 160 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 160 CONTINUE + IF( SYM )THEN + JJ = KK + ( J - 1 )*LDA + AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE ) + END IF + 170 CONTINUE + ELSE IF( TYPE.EQ.'HP'.OR.TYPE.EQ.'TP' )THEN + IOFF = 0 + DO 190 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 180 I = IBEG, IEND + IOFF = IOFF + 1 + AA( IOFF ) = A( I, J ) + IF( I.EQ.J )THEN + IF( UNIT ) + $ AA( IOFF ) = ROGUE + IF( SYM ) + $ AA( IOFF ) = CMPLX( REAL( AA( IOFF ) ), RROGUE ) + END IF + 180 CONTINUE + 190 CONTINUE + END IF + RETURN +* +* End of CMAKE. +* + END + SUBROUTINE CMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX ZERO + PARAMETER ( ZERO = ( 0.0, 0.0 ) ) + REAL RZERO, RONE + PARAMETER ( RZERO = 0.0, RONE = 1.0 ) +* .. Scalar Arguments .. + COMPLEX ALPHA, BETA + REAL EPS, ERR + INTEGER INCX, INCY, M, N, NMAX, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANS +* .. Array Arguments .. + COMPLEX A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * ) + REAL G( * ) +* .. Local Scalars .. + COMPLEX C + REAL ERRI + INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL + LOGICAL CTRAN, TRAN +* .. Intrinsic Functions .. + INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT +* .. Statement Functions .. + REAL ABS1 +* .. Statement Function definitions .. + ABS1( C ) = ABS( REAL( C ) ) + ABS( AIMAG( C ) ) +* .. Executable Statements .. + TRAN = TRANS.EQ.'T' + CTRAN = TRANS.EQ.'C' + IF( TRAN.OR.CTRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF + IF( INCX.LT.0 )THEN + KX = NL + INCXL = -1 + ELSE + KX = 1 + INCXL = 1 + END IF + IF( INCY.LT.0 )THEN + KY = ML + INCYL = -1 + ELSE + KY = 1 + INCYL = 1 + END IF +* +* Compute expected result in YT using data in A, X and Y. +* Compute gauges in G. +* + IY = KY + DO 40 I = 1, ML + YT( IY ) = ZERO + G( IY ) = RZERO + JX = KX + IF( TRAN )THEN + DO 10 J = 1, NL + YT( IY ) = YT( IY ) + A( J, I )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 10 CONTINUE + ELSE IF( CTRAN )THEN + DO 20 J = 1, NL + YT( IY ) = YT( IY ) + CONJG( A( J, I ) )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 20 CONTINUE + ELSE + DO 30 J = 1, NL + YT( IY ) = YT( IY ) + A( I, J )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 30 CONTINUE + END IF + YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY ) + G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) ) + IY = IY + INCYL + 40 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 50 I = 1, ML + ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS + IF( G( I ).NE.RZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.RONE ) + $ GO TO 60 + 50 CONTINUE +* If the loop completes, all results are at least half accurate. + GO TO 80 +* +* Report fatal error. +* + 60 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 70 I = 1, ML + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, YT( I ), + $ YY( 1 + ( I - 1 )*ABS( INCY ) ) + ELSE + WRITE( NOUT, FMT = 9998 )I, + $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I ) + END IF + 70 CONTINUE +* + 80 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RE', + $ 'SULT COMPUTED RESULT' ) + 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) ) +* +* End of CMVCH. +* + END + LOGICAL FUNCTION LCE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + COMPLEX RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LCE = .TRUE. + GO TO 30 + 20 CONTINUE + LCE = .FALSE. + 30 RETURN +* +* End of LCE. +* + END + LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE', 'HE' or 'HP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'HE' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LCERES = .TRUE. + GO TO 80 + 70 CONTINUE + LCERES = .FALSE. + 80 RETURN +* +* End of LCERES. +* + END + COMPLEX FUNCTION CBEG( RESET ) +* +* Generates complex numbers as pairs of random numbers uniformly +* distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, J, MI, MJ +* .. Save statement .. + SAVE I, IC, J, MI, MJ +* .. Intrinsic Functions .. + INTRINSIC CMPLX +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + MJ = 457 + I = 7 + J = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I or J is bounded between 1 and 999. +* If initial I or J = 1,2,3,6,7 or 9, the period will be 50. +* If initial I or J = 4 or 8, the period will be 25. +* If initial I or J = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I or J +* in 6. +* + IC = IC + 1 + 10 I = I*MI + J = J*MJ + I = I - 1000*( I/1000 ) + J = J - 1000*( J/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 ) + RETURN +* +* End of CBEG. +* + END + REAL FUNCTION SDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* +* .. Scalar Arguments .. + REAL X, Y +* .. Executable Statements .. + SDIFF = X - Y + RETURN +* +* End of SDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 2 BLAS +* routines. +* +* XERBLA is an error handler for the Level 2 BLAS routines. +* +* It is called by the Level 2 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/cblat3.dat b/eigen/blas/testing/cblat3.dat new file mode 100644 index 0000000..59881ea --- /dev/null +++ b/eigen/blas/testing/cblat3.dat @@ -0,0 +1,23 @@ +'cblat3.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'cblat3.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +F LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +3 NUMBER OF VALUES OF ALPHA +(0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +(0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +CGEMM T PUT F FOR NO TEST. SAME COLUMNS. +CHEMM T PUT F FOR NO TEST. SAME COLUMNS. +CSYMM T PUT F FOR NO TEST. SAME COLUMNS. +CTRMM T PUT F FOR NO TEST. SAME COLUMNS. +CTRSM T PUT F FOR NO TEST. SAME COLUMNS. +CHERK T PUT F FOR NO TEST. SAME COLUMNS. +CSYRK T PUT F FOR NO TEST. SAME COLUMNS. +CHER2K T PUT F FOR NO TEST. SAME COLUMNS. +CSYR2K T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/cblat3.f b/eigen/blas/testing/cblat3.f new file mode 100644 index 0000000..b26be91 --- /dev/null +++ b/eigen/blas/testing/cblat3.f @@ -0,0 +1,3439 @@ + PROGRAM CBLAT3 +* +* Test program for the COMPLEX Level 3 Blas. +* +* The program must be driven by a short data file. The first 14 records +* of the file are read using list-directed input, the last 9 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 23 lines: +* 'CBLAT3.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'CBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 3 NUMBER OF VALUES OF ALPHA +* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +* CGEMM T PUT F FOR NO TEST. SAME COLUMNS. +* CHEMM T PUT F FOR NO TEST. SAME COLUMNS. +* CSYMM T PUT F FOR NO TEST. SAME COLUMNS. +* CTRMM T PUT F FOR NO TEST. SAME COLUMNS. +* CTRSM T PUT F FOR NO TEST. SAME COLUMNS. +* CHERK T PUT F FOR NO TEST. SAME COLUMNS. +* CSYRK T PUT F FOR NO TEST. SAME COLUMNS. +* CHER2K T PUT F FOR NO TEST. SAME COLUMNS. +* CSYR2K T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. +* A Set of Level 3 Basic Linear Algebra Subprograms. +* +* Technical Memorandum No.88 (Revision 1), Mathematics and +* Computer Science Division, Argonne National Laboratory, 9700 +* South Cass Avenue, Argonne, Illinois 60439, US. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 9 ) + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + REAL RZERO, RHALF, RONE + PARAMETER ( RZERO = 0.0, RHALF = 0.5, RONE = 1.0 ) + INTEGER NMAX + PARAMETER ( NMAX = 65 ) + INTEGER NIDMAX, NALMAX, NBEMAX + PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + REAL EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANSA, TRANSB + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + COMPLEX AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), + $ BB( NMAX*NMAX ), BET( NBEMAX ), + $ BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ W( 2*NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + REAL SDIFF + LOGICAL LCE + EXTERNAL SDIFF, LCE +* .. External Subroutines .. + EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CCHKE, CMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'CGEMM ', 'CHEMM ', 'CSYMM ', 'CTRMM ', + $ 'CTRSM ', 'CHERK ', 'CSYRK ', 'CHER2K', + $ 'CSYR2K'/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 220 + END IF + 10 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9995 ) + WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9984 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 20 I = 1, NSUBS + LTEST( I ) = .FALSE. + 20 CONTINUE + 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT + DO 40 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 50 + 40 CONTINUE + WRITE( NOUT, FMT = 9990 )SNAMET + STOP + 50 LTEST( I ) = LTESTT + GO TO 30 +* + 60 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = RONE + 70 CONTINUE + IF( SDIFF( RONE + EPS, RONE ).EQ.RZERO ) + $ GO TO 80 + EPS = RHALF*EPS + GO TO 70 + 80 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of CMMCH using exact data. +* + N = MIN( 32, NMAX ) + DO 100 J = 1, N + DO 90 I = 1, N + AB( I, J ) = MAX( I - J + 1, 0 ) + 90 CONTINUE + AB( J, NMAX + 1 ) = J + AB( 1, NMAX + J ) = J + C( J, 1 ) = ZERO + 100 CONTINUE + DO 110 J = 1, N + CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 110 CONTINUE +* CC holds the exact result. On exit from CMMCH CT holds +* the result computed by CMMCH. + TRANSA = 'N' + TRANSB = 'N' + CALL CMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'C' + CALL CMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + DO 120 J = 1, N + AB( J, NMAX + 1 ) = N - J + 1 + AB( 1, NMAX + J ) = N - J + 1 + 120 CONTINUE + DO 130 J = 1, N + CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - + $ ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE + TRANSA = 'C' + TRANSB = 'N' + CALL CMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'C' + CALL CMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LCE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 200 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL CCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 150, 150, 160, 160, 170, 170, + $ 180, 180 )ISNUM +* Test CGEMM, 01. + 140 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test CHEMM, 02, CSYMM, 03. + 150 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test CTRMM, 04, CTRSM, 05. + 160 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, + $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C ) + GO TO 190 +* Test CHERK, 06, CSYRK, 07. + 170 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test CHER2K, 08, CSYR2K, 09. + 180 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) + GO TO 190 +* + 190 IF( FATAL.AND.SFATAL ) + $ GO TO 210 + END IF + 200 CONTINUE + WRITE( NOUT, FMT = 9986 ) + GO TO 230 +* + 210 CONTINUE + WRITE( NOUT, FMT = 9985 ) + GO TO 230 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9991 ) +* + 230 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' TESTS OF THE COMPLEX LEVEL 3 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9994 FORMAT( ' FOR N ', 9I6 ) + 9993 FORMAT( ' FOR ALPHA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9992 FORMAT( ' FOR BETA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9990 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9989 FORMAT( ' ERROR IN CMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' CMMCH WAS CALLED WITH TRANSA = ', A1, + $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', + $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', + $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', + $ '*******' ) + 9988 FORMAT( A6, L2 ) + 9987 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9986 FORMAT( /' END OF TESTS' ) + 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of CBLAT3. +* + END + SUBROUTINE CCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests CGEMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO + PARAMETER ( ZERO = ( 0.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BLS + REAL ERR, ERRMAX + INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, + $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, + $ MA, MB, MS, N, NA, NARGS, NB, NC, NS + LOGICAL NULL, RESET, SAME, TRANA, TRANB + CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CGEMM, CMAKE, CMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. +* + NARGS = 13 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 110 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICA = 1, 3 + TRANSA = ICH( ICA: ICA ) + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' +* + IF( TRANA )THEN + MA = K + NA = M + ELSE + MA = M + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL CMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICB = 1, 3 + TRANSB = ICH( ICB: ICB ) + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* + IF( TRANB )THEN + MB = N + NB = K + ELSE + MB = K + NB = N + END IF +* Set LDB to 1 more than minimum value if room. + LDB = MB + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 70 + LBB = LDB*NB +* +* Generate the matrix B. +* + CALL CMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, + $ LDB, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL CMAKE( 'GE', ' ', ' ', M, N, C, NMAX, + $ CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANAS = TRANSA + TRANBS = TRANSB + MS = M + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB, + $ BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL CGEMM( TRANSA, TRANSB, M, N, K, ALPHA, + $ AA, LDA, BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANSA.EQ.TRANAS + ISAME( 2 ) = TRANSB.EQ.TRANBS + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LCE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LCE( BS, BB, LBB ) + ISAME( 10 ) = LDBS.EQ.LDB + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LCE( CS, CC, LCC ) + ELSE + ISAME( 12 ) = LCERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 13 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL CMMCH( TRANSA, TRANSB, M, N, K, + $ ALPHA, A, NMAX, B, NMAX, BETA, + $ C, NMAX, CT, G, CC, LDC, EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K, + $ ALPHA, LDA, LDB, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',''', A1, ''',', + $ 3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, + $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK1. +* + END + SUBROUTINE CCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests CHEMM and CSYMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO + PARAMETER ( ZERO = ( 0.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BLS + REAL ERR, ERRMAX + INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, + $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, + $ NARGS, NC, NS + LOGICAL CONJ, LEFT, NULL, RESET, SAME + CHARACTER*1 SIDE, SIDES, UPLO, UPLOS + CHARACTER*2 ICHS, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHEMM, CMAKE, CMMCH, CSYMM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHS/'LR'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 90 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 90 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 90 + LBB = LDB*N +* +* Generate the matrix B. +* + CALL CMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, + $ ZERO ) +* + DO 80 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' +* + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* +* Generate the hermitian or symmetric matrix A. +* + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', NA, NA, A, NMAX, + $ AA, LDA, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL CMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, SIDE, + $ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + IF( CONJ )THEN + CALL CHEMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) + ELSE + CALL CSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 110 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LCE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LCE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LCE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LCERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 110 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL CMMCH( 'N', 'N', M, N, M, ALPHA, A, + $ NMAX, B, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL CMMCH( 'N', 'N', M, N, N, ALPHA, B, + $ NMAX, A, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 120 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA, + $ LDB, BETA, LDC +* + 120 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, + $ ',', F4.1, '), C,', I3, ') .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK2. +* + END + SUBROUTINE CCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, + $ B, BB, BS, CT, G, C ) +* +* Tests CTRMM and CTRSM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CT( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS + REAL ERR, ERRMAX + INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, + $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, + $ NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, + $ UPLOS + CHARACTER*2 ICHD, ICHS, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CMAKE, CMMCH, CTRMM, CTRSM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ +* .. Executable Statements .. +* + NARGS = 11 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* Set up zero matrix for CMMCH. + DO 20 J = 1, NMAX + DO 10 I = 1, NMAX + C( I, J ) = ZERO + 10 CONTINUE + 20 CONTINUE +* + DO 140 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 130 + LBB = LDB*N + NULL = M.LE.0.OR.N.LE.0 +* + DO 120 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 130 + LAA = LDA*NA +* + DO 110 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 100 ICT = 1, 3 + TRANSA = ICHT( ICT: ICT ) +* + DO 90 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + CALL CMAKE( 'TR', UPLO, DIAG, NA, NA, A, + $ NMAX, AA, LDA, RESET, ZERO ) +* +* Generate the matrix B. +* + CALL CMAKE( 'GE', ' ', ' ', M, N, B, NMAX, + $ BB, LDB, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + TRANAS = TRANSA + DIAGS = DIAG + MS = M + NS = N + ALS = ALPHA + DO 30 I = 1, LAA + AS( I ) = AA( I ) + 30 CONTINUE + LDAS = LDA + DO 40 I = 1, LBB + BS( I ) = BB( I ) + 40 CONTINUE + LDBS = LDB +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL CTRMM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL CTRSM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = TRANAS.EQ.TRANSA + ISAME( 4 ) = DIAGS.EQ.DIAG + ISAME( 5 ) = MS.EQ.M + ISAME( 6 ) = NS.EQ.N + ISAME( 7 ) = ALS.EQ.ALPHA + ISAME( 8 ) = LCE( AS, AA, LAA ) + ISAME( 9 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 10 ) = LCE( BS, BB, LBB ) + ELSE + ISAME( 10 ) = LCERES( 'GE', ' ', M, N, BS, + $ BB, LDB ) + END IF + ISAME( 11 ) = LDBS.EQ.LDB +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 50 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 50 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MM' )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL CMMCH( TRANSA, 'N', M, N, M, + $ ALPHA, A, NMAX, B, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL CMMCH( 'N', TRANSA, M, N, N, + $ ALPHA, B, NMAX, A, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN +* +* Compute approximation to original +* matrix. +* + DO 70 J = 1, N + DO 60 I = 1, M + C( I, J ) = BB( I + ( J - 1 )* + $ LDB ) + BB( I + ( J - 1 )*LDB ) = ALPHA* + $ B( I, J ) + 60 CONTINUE + 70 CONTINUE +* + IF( LEFT )THEN + CALL CMMCH( TRANSA, 'N', M, N, M, + $ ONE, A, NMAX, C, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + ELSE + CALL CMMCH( 'N', TRANSA, M, N, N, + $ ONE, C, NMAX, A, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + END IF + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 150 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, LDA, LDB +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 4( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ') ', + $ ' .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK3. +* + END + SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests CHERK and CSYRK. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO + PARAMETER ( ZERO = ( 0.0, 0.0 ) ) + REAL RONE, RZERO + PARAMETER ( RONE = 1.0, RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BETS + REAL ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, + $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, + $ NARGS, NC, NS + LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS + CHARACTER*2 ICHT, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHERK, CMAKE, CMMCH, CSYRK +* .. Intrinsic Functions .. + INTRINSIC CMPLX, MAX, REAL +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NC'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 10 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICT = 1, 2 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'C' + IF( TRAN.AND..NOT.CONJ ) + $ TRANS = 'T' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL CMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) + IF( CONJ )THEN + RALPHA = REAL( ALPHA ) + ALPHA = CMPLX( RALPHA, RZERO ) + END IF +* + DO 50 IB = 1, NBET + BETA = BET( IB ) + IF( CONJ )THEN + RBETA = REAL( BETA ) + BETA = CMPLX( RBETA, RZERO ) + END IF + NULL = N.LE.0 + IF( CONJ ) + $ NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ. + $ RZERO ).AND.RBETA.EQ.RONE ) +* +* Generate the matrix C. +* + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, C, + $ NMAX, CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + IF( CONJ )THEN + RALS = RALPHA + ELSE + ALS = ALPHA + END IF + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + IF( CONJ )THEN + RBETS = RBETA + ELSE + BETS = BETA + END IF + DO 20 I = 1, LCC + CS( I ) = CC( I ) + 20 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( CONJ )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, RALPHA, LDA, RBETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL CHERK( UPLO, TRANS, N, K, RALPHA, AA, + $ LDA, RBETA, CC, LDC ) + ELSE + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL CSYRK( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + IF( CONJ )THEN + ISAME( 5 ) = RALS.EQ.RALPHA + ELSE + ISAME( 5 ) = ALS.EQ.ALPHA + END IF + ISAME( 6 ) = LCE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( CONJ )THEN + ISAME( 8 ) = RBETS.EQ.RBETA + ELSE + ISAME( 8 ) = BETS.EQ.BETA + END IF + IF( NULL )THEN + ISAME( 9 ) = LCE( CS, CC, LCC ) + ELSE + ISAME( 9 ) = LCERES( SNAME( 2: 3 ), UPLO, N, + $ N, CS, CC, LDC ) + END IF + ISAME( 10 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( CONJ )THEN + TRANST = 'C' + ELSE + TRANST = 'T' + END IF + JC = 1 + DO 40 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + CALL CMMCH( TRANST, 'N', LJ, 1, K, + $ ALPHA, A( 1, JJ ), NMAX, + $ A( 1, J ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL CMMCH( 'N', TRANST, LJ, 1, K, + $ ALPHA, A( JJ, 1 ), NMAX, + $ A( J, 1 ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + 40 CONTINUE + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( CONJ )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, RALPHA, + $ LDA, RBETA, LDC + ELSE + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, BETA, LDC + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1, + $ '), C,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK4. +* + END + SUBROUTINE CCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) +* +* Tests CHER2K and CSYR2K. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + REAL RONE, RZERO + PARAMETER ( RONE = 1.0, RZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), + $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), + $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ W( 2*NMAX ) + REAL G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX ALPHA, ALS, BETA, BETS + REAL ERR, ERRMAX, RBETA, RBETS + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, + $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, + $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS + LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS + CHARACTER*2 ICHT, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LCE, LCERES + EXTERNAL LCE, LCERES +* .. External Subroutines .. + EXTERNAL CHER2K, CMAKE, CMMCH, CSYR2K +* .. Intrinsic Functions .. + INTRINSIC CMPLX, CONJG, MAX, REAL +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NC'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 130 + LCC = LDC*N +* + DO 120 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 110 ICT = 1, 2 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'C' + IF( TRAN.AND..NOT.CONJ ) + $ TRANS = 'T' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*NA +* +* Generate the matrix A. +* + IF( TRAN )THEN + CALL CMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, + $ LDA, RESET, ZERO ) + ELSE + CALL CMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, + $ RESET, ZERO ) + END IF +* +* Generate the matrix B. +* + LDB = LDA + LBB = LAA + IF( TRAN )THEN + CALL CMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), + $ 2*NMAX, BB, LDB, RESET, ZERO ) + ELSE + CALL CMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), + $ NMAX, BB, LDB, RESET, ZERO ) + END IF +* + DO 100 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 90 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 80 IB = 1, NBET + BETA = BET( IB ) + IF( CONJ )THEN + RBETA = REAL( BETA ) + BETA = CMPLX( RBETA, RZERO ) + END IF + NULL = N.LE.0 + IF( CONJ ) + $ NULL = NULL.OR.( ( K.LE.0.OR.ALPHA.EQ. + $ ZERO ).AND.RBETA.EQ.RONE ) +* +* Generate the matrix C. +* + CALL CMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, C, + $ NMAX, CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + IF( CONJ )THEN + RBETS = RBETA + ELSE + BETS = BETA + END IF + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( CONJ )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, RBETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL CHER2K( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BB, LDB, RBETA, CC, LDC ) + ELSE + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL CSYR2K( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BB, LDB, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LCE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LCE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + IF( CONJ )THEN + ISAME( 10 ) = RBETS.EQ.RBETA + ELSE + ISAME( 10 ) = BETS.EQ.BETA + END IF + IF( NULL )THEN + ISAME( 11 ) = LCE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LCERES( 'HE', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( CONJ )THEN + TRANST = 'C' + ELSE + TRANST = 'T' + END IF + JJAB = 1 + JC = 1 + DO 70 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + DO 50 I = 1, K + W( I ) = ALPHA*AB( ( J - 1 )*2* + $ NMAX + K + I ) + IF( CONJ )THEN + W( K + I ) = CONJG( ALPHA )* + $ AB( ( J - 1 )*2* + $ NMAX + I ) + ELSE + W( K + I ) = ALPHA* + $ AB( ( J - 1 )*2* + $ NMAX + I ) + END IF + 50 CONTINUE + CALL CMMCH( TRANST, 'N', LJ, 1, 2*K, + $ ONE, AB( JJAB ), 2*NMAX, W, + $ 2*NMAX, BETA, C( JJ, J ), + $ NMAX, CT, G, CC( JC ), LDC, + $ EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE + DO 60 I = 1, K + IF( CONJ )THEN + W( I ) = ALPHA*CONJG( AB( ( K + + $ I - 1 )*NMAX + J ) ) + W( K + I ) = CONJG( ALPHA* + $ AB( ( I - 1 )*NMAX + + $ J ) ) + ELSE + W( I ) = ALPHA*AB( ( K + I - 1 )* + $ NMAX + J ) + W( K + I ) = ALPHA* + $ AB( ( I - 1 )*NMAX + + $ J ) + END IF + 60 CONTINUE + CALL CMMCH( 'N', 'N', LJ, 1, 2*K, ONE, + $ AB( JJ ), NMAX, W, 2*NMAX, + $ BETA, C( JJ, J ), NMAX, CT, + $ G, CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + IF( TRAN ) + $ JJAB = JJAB + 2*NMAX + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 140 + 70 CONTINUE + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( CONJ )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, RBETA, LDC + ELSE + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, BETA, LDC + END IF +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1, + $ ', C,', I3, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, + $ ',', F4.1, '), C,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of CCHK5. +* + END + SUBROUTINE CCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 3 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, RALPHA, BETA, RBETA, A, B and C should not need to be defined. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + COMPLEX ALPHA, BETA + REAL RALPHA, RBETA +* .. Local Arrays .. + COMPLEX A( 2, 1 ), B( 2, 1 ), C( 2, 1 ) +* .. External Subroutines .. + EXTERNAL CGEMM, CHEMM, CHER2K, CHERK, CHKXER, CSYMM, + $ CSYR2K, CSYRK, CTRMM, CTRSM +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90 )ISNUM + 10 INFOT = 1 + CALL CGEMM( '/', 'N', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL CGEMM( '/', 'C', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL CGEMM( '/', 'T', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGEMM( 'N', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGEMM( 'C', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CGEMM( 'T', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'N', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'N', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'N', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'C', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'C', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'C', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'T', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'T', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CGEMM( 'T', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'N', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'N', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'N', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'C', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'C', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'C', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'T', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'T', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CGEMM( 'T', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'N', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'N', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'N', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'C', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'C', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'C', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'T', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'T', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CGEMM( 'T', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'N', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'C', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'C', 'C', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'C', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'T', 'C', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CGEMM( 'T', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'N', 'N', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'C', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'N', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'C', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'T', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'N', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'C', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CGEMM( 'T', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'N', 'C', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'C', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'C', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'C', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'T', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'T', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL CGEMM( 'T', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 20 INFOT = 1 + CALL CHEMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHEMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHEMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHEMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHEMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHEMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHEMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHEMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHEMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHEMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHEMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHEMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHEMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHEMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHEMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHEMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHEMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHEMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHEMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHEMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHEMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHEMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 30 INFOT = 1 + CALL CSYMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CSYMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 40 INFOT = 1 + CALL CTRMM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTRMM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTRMM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTRMM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRMM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRMM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'U', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'L', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRMM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRMM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 50 INFOT = 1 + CALL CTRSM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CTRSM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CTRSM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CTRSM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CTRSM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL CTRSM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'U', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'L', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CTRSM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL CTRSM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 60 INFOT = 1 + CALL CHERK( '/', 'N', 0, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHERK( 'U', 'T', 0, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHERK( 'U', 'N', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHERK( 'U', 'C', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHERK( 'L', 'N', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHERK( 'L', 'C', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHERK( 'U', 'N', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHERK( 'U', 'C', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHERK( 'L', 'N', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHERK( 'L', 'C', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHERK( 'U', 'N', 2, 0, RALPHA, A, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHERK( 'U', 'C', 0, 2, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHERK( 'L', 'N', 2, 0, RALPHA, A, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHERK( 'L', 'C', 0, 2, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHERK( 'U', 'N', 2, 0, RALPHA, A, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHERK( 'U', 'C', 2, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHERK( 'L', 'N', 2, 0, RALPHA, A, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHERK( 'L', 'C', 2, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 70 INFOT = 1 + CALL CSYRK( '/', 'N', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CSYRK( 'U', 'C', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYRK( 'U', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYRK( 'U', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYRK( 'L', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYRK( 'L', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYRK( 'U', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYRK( 'U', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYRK( 'L', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYRK( 'L', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYRK( 'U', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYRK( 'U', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYRK( 'L', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYRK( 'L', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYRK( 'U', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYRK( 'U', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYRK( 'L', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYRK( 'L', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 80 INFOT = 1 + CALL CHER2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CHER2K( 'U', 'T', 0, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHER2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHER2K( 'U', 'C', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHER2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CHER2K( 'L', 'C', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHER2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHER2K( 'U', 'C', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHER2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CHER2K( 'L', 'C', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER2K( 'U', 'C', 0, 2, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHER2K( 'L', 'C', 0, 2, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHER2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHER2K( 'U', 'C', 0, 2, ALPHA, A, 2, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHER2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CHER2K( 'L', 'C', 0, 2, ALPHA, A, 2, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHER2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHER2K( 'U', 'C', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHER2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CHER2K( 'L', 'C', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 90 INFOT = 1 + CALL CSYR2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CSYR2K( 'U', 'C', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYR2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYR2K( 'U', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYR2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYR2K( 'L', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYR2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYR2K( 'U', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYR2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYR2K( 'L', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYR2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYR2K( 'U', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYR2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYR2K( 'L', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYR2K( 'U', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL CSYR2K( 'L', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYR2K( 'U', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL CSYR2K( 'L', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 100 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of CCHKE. +* + END + SUBROUTINE CMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, + $ TRANSL ) +* +* Generates values for an M by N matrix A. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'HE', 'SY' or 'TR'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO, ONE + PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) + COMPLEX ROGUE + PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) ) + REAL RZERO + PARAMETER ( RZERO = 0.0 ) + REAL RROGUE + PARAMETER ( RROGUE = -1.0E10 ) +* .. Scalar Arguments .. + COMPLEX TRANSL + INTEGER LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J, JJ + LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + COMPLEX CBEG + EXTERNAL CBEG +* .. Intrinsic Functions .. + INTRINSIC CMPLX, CONJG, REAL +* .. Executable Statements .. + GEN = TYPE.EQ.'GE' + HER = TYPE.EQ.'HE' + SYM = TYPE.EQ.'SY' + TRI = TYPE.EQ.'TR' + UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + A( I, J ) = CBEG( RESET ) + TRANSL + IF( I.NE.J )THEN +* Set some elements to zero + IF( N.GT.3.AND.J.EQ.N/2 ) + $ A( I, J ) = ZERO + IF( HER )THEN + A( J, I ) = CONJG( A( I, J ) ) + ELSE IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( HER ) + $ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO ) + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 90 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 60 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 70 CONTINUE + DO 80 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + IF( HER )THEN + JJ = J + ( J - 1 )*LDA + AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE ) + END IF + 90 CONTINUE + END IF + RETURN +* +* End of CMAKE. +* + END + SUBROUTINE CMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, + $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, + $ NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX ZERO + PARAMETER ( ZERO = ( 0.0, 0.0 ) ) + REAL RZERO, RONE + PARAMETER ( RZERO = 0.0, RONE = 1.0 ) +* .. Scalar Arguments .. + COMPLEX ALPHA, BETA + REAL EPS, ERR + INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANSA, TRANSB +* .. Array Arguments .. + COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * ), + $ CC( LDCC, * ), CT( * ) + REAL G( * ) +* .. Local Scalars .. + COMPLEX CL + REAL ERRI + INTEGER I, J, K + LOGICAL CTRANA, CTRANB, TRANA, TRANB +* .. Intrinsic Functions .. + INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT +* .. Statement Functions .. + REAL ABS1 +* .. Statement Function definitions .. + ABS1( CL ) = ABS( REAL( CL ) ) + ABS( AIMAG( CL ) ) +* .. Executable Statements .. + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' + CTRANA = TRANSA.EQ.'C' + CTRANB = TRANSB.EQ.'C' +* +* Compute expected result, one column at a time, in CT using data +* in A, B and C. +* Compute gauges in G. +* + DO 220 J = 1, N +* + DO 10 I = 1, M + CT( I ) = ZERO + G( I ) = RZERO + 10 CONTINUE + IF( .NOT.TRANA.AND..NOT.TRANB )THEN + DO 30 K = 1, KK + DO 20 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( K, J ) + G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) ) + 20 CONTINUE + 30 CONTINUE + ELSE IF( TRANA.AND..NOT.TRANB )THEN + IF( CTRANA )THEN + DO 50 K = 1, KK + DO 40 I = 1, M + CT( I ) = CT( I ) + CONJG( A( K, I ) )*B( K, J ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( K, J ) ) + 40 CONTINUE + 50 CONTINUE + ELSE + DO 70 K = 1, KK + DO 60 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( K, J ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( K, J ) ) + 60 CONTINUE + 70 CONTINUE + END IF + ELSE IF( .NOT.TRANA.AND.TRANB )THEN + IF( CTRANB )THEN + DO 90 K = 1, KK + DO 80 I = 1, M + CT( I ) = CT( I ) + A( I, K )*CONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( I, K ) )* + $ ABS1( B( J, K ) ) + 80 CONTINUE + 90 CONTINUE + ELSE + DO 110 K = 1, KK + DO 100 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( J, K ) + G( I ) = G( I ) + ABS1( A( I, K ) )* + $ ABS1( B( J, K ) ) + 100 CONTINUE + 110 CONTINUE + END IF + ELSE IF( TRANA.AND.TRANB )THEN + IF( CTRANA )THEN + IF( CTRANB )THEN + DO 130 K = 1, KK + DO 120 I = 1, M + CT( I ) = CT( I ) + CONJG( A( K, I ) )* + $ CONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 120 CONTINUE + 130 CONTINUE + ELSE + DO 150 K = 1, KK + DO 140 I = 1, M + CT( I ) = CT( I ) + CONJG( A( K, I ) )*B( J, K ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 140 CONTINUE + 150 CONTINUE + END IF + ELSE + IF( CTRANB )THEN + DO 170 K = 1, KK + DO 160 I = 1, M + CT( I ) = CT( I ) + A( K, I )*CONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 160 CONTINUE + 170 CONTINUE + ELSE + DO 190 K = 1, KK + DO 180 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( J, K ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 180 CONTINUE + 190 CONTINUE + END IF + END IF + END IF + DO 200 I = 1, M + CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) + G( I ) = ABS1( ALPHA )*G( I ) + + $ ABS1( BETA )*ABS1( C( I, J ) ) + 200 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 210 I = 1, M + ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS + IF( G( I ).NE.RZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.RONE ) + $ GO TO 230 + 210 CONTINUE +* + 220 CONTINUE +* +* If the loop completes, all results are at least half accurate. + GO TO 250 +* +* Report fatal error. +* + 230 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 240 I = 1, M + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) + ELSE + WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) + END IF + 240 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9997 )J +* + 250 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RE', + $ 'SULT COMPUTED RESULT' ) + 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) ) + 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) +* +* End of CMMCH. +* + END + LOGICAL FUNCTION LCE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + COMPLEX RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LCE = .TRUE. + GO TO 30 + 20 CONTINUE + LCE = .FALSE. + 30 RETURN +* +* End of LCE. +* + END + LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE' or 'HE' or 'SY'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LCERES = .TRUE. + GO TO 80 + 70 CONTINUE + LCERES = .FALSE. + 80 RETURN +* +* End of LCERES. +* + END + COMPLEX FUNCTION CBEG( RESET ) +* +* Generates complex numbers as pairs of random numbers uniformly +* distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, J, MI, MJ +* .. Save statement .. + SAVE I, IC, J, MI, MJ +* .. Intrinsic Functions .. + INTRINSIC CMPLX +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + MJ = 457 + I = 7 + J = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I or J is bounded between 1 and 999. +* If initial I or J = 1,2,3,6,7 or 9, the period will be 50. +* If initial I or J = 4 or 8, the period will be 25. +* If initial I or J = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I or J +* in 6. +* + IC = IC + 1 + 10 I = I*MI + J = J*MJ + I = I - 1000*( I/1000 ) + J = J - 1000*( J/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 ) + RETURN +* +* End of CBEG. +* + END + REAL FUNCTION SDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + REAL X, Y +* .. Executable Statements .. + SDIFF = X - Y + RETURN +* +* End of SDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 3 BLAS +* routines. +* +* XERBLA is an error handler for the Level 3 BLAS routines. +* +* It is called by the Level 3 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/dblat1.f b/eigen/blas/testing/dblat1.f new file mode 100644 index 0000000..30691f9 --- /dev/null +++ b/eigen/blas/testing/dblat1.f @@ -0,0 +1,1065 @@ +*> \brief \b DBLAT1 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* PROGRAM DBLAT1 +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> Test program for the DOUBLE PRECISION Level 1 BLAS. +*> +*> Based upon the original BLAS test routine together with: +*> F06EAF Example Program Text +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date April 2012 +* +*> \ingroup double_blas_testing +* +* ===================================================================== + PROGRAM DBLAT1 +* +* -- Reference BLAS test routine (version 3.4.1) -- +* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* April 2012 +* +* ===================================================================== +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SFAC + INTEGER IC +* .. External Subroutines .. + EXTERNAL CHECK0, CHECK1, CHECK2, CHECK3, HEADER +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA SFAC/9.765625D-4/ +* .. Executable Statements .. + WRITE (NOUT,99999) + DO 20 IC = 1, 13 + ICASE = IC + CALL HEADER +* +* .. Initialize PASS, INCX, and INCY for a new case. .. +* .. the value 9999 for INCX or INCY will appear in the .. +* .. detailed output, if any, for cases that do not involve .. +* .. these parameters .. +* + PASS = .TRUE. + INCX = 9999 + INCY = 9999 + IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN + CALL CHECK0(SFAC) + ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR. + + ICASE.EQ.10) THEN + CALL CHECK1(SFAC) + ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR. + + ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN + CALL CHECK2(SFAC) + ELSE IF (ICASE.EQ.4) THEN + CALL CHECK3(SFAC) + END IF +* -- Print + IF (PASS) WRITE (NOUT,99998) + 20 CONTINUE + STOP +* +99999 FORMAT (' Real BLAS Test Program Results',/1X) +99998 FORMAT (' ----- PASS -----') + END + SUBROUTINE HEADER +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Arrays .. + CHARACTER*6 L(13) +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA L(1)/' DDOT '/ + DATA L(2)/'DAXPY '/ + DATA L(3)/'DROTG '/ + DATA L(4)/' DROT '/ + DATA L(5)/'DCOPY '/ + DATA L(6)/'DSWAP '/ + DATA L(7)/'DNRM2 '/ + DATA L(8)/'DASUM '/ + DATA L(9)/'DSCAL '/ + DATA L(10)/'IDAMAX'/ + DATA L(11)/'DROTMG'/ + DATA L(12)/'DROTM '/ + DATA L(13)/'DSDOT '/ +* .. Executable Statements .. + WRITE (NOUT,99999) ICASE, L(ICASE) + RETURN +* +99999 FORMAT (/' Test of subprogram number',I3,12X,A6) + END + SUBROUTINE CHECK0(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SA, SB, SC, SS, D12 + INTEGER I, K +* .. Local Arrays .. + DOUBLE PRECISION DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8), + $ DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9) +* .. External Subroutines .. + EXTERNAL DROTG, DROTMG, STEST1 +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0, + + 0.0D0, 1.0D0/ + DATA DB1/0.4D0, 0.3D0, 0.4D0, 0.3D0, -0.4D0, 0.0D0, + + 1.0D0, 0.0D0/ + DATA DC1/0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.6D0, 1.0D0, + + 0.0D0, 1.0D0/ + DATA DS1/0.8D0, 0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.0D0, + + 1.0D0, 0.0D0/ + DATA DATRUE/0.5D0, 0.5D0, 0.5D0, -0.5D0, -0.5D0, + + 0.0D0, 1.0D0, 1.0D0/ + DATA DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0, + + 0.0D0, 1.0D0, 0.0D0/ +* INPUT FOR MODIFIED GIVENS + DATA DAB/ .1D0,.3D0,1.2D0,.2D0, + A .7D0, .2D0, .6D0, 4.2D0, + B 0.D0,0.D0,0.D0,0.D0, + C 4.D0, -1.D0, 2.D0, 4.D0, + D 6.D-10, 2.D-2, 1.D5, 10.D0, + E 4.D10, 2.D-2, 1.D-5, 10.D0, + F 2.D-10, 4.D-2, 1.D5, 10.D0, + G 2.D10, 4.D-2, 1.D-5, 10.D0, + H 4.D0, -2.D0, 8.D0, 4.D0 / +* TRUE RESULTS FOR MODIFIED GIVENS + DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0, + A 0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0, + B 0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0, + C 0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0, + D 0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4, + E 0.D0, 1.D0, + F 0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6, + G 0.D0, 1.D0, + H 0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0, + I 0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0, + J 1.D0, 4096.D-6, + K 0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/ +* 4096 = 2 ** 12 + DATA D12 /4096.D0/ + DTRUE(1,1) = 12.D0 / 130.D0 + DTRUE(2,1) = 36.D0 / 130.D0 + DTRUE(7,1) = -1.D0 / 6.D0 + DTRUE(1,2) = 14.D0 / 75.D0 + DTRUE(2,2) = 49.D0 / 75.D0 + DTRUE(9,2) = 1.D0 / 7.D0 + DTRUE(1,5) = 45.D-11 * (D12 * D12) + DTRUE(3,5) = 4.D5 / (3.D0 * D12) + DTRUE(6,5) = 1.D0 / D12 + DTRUE(8,5) = 1.D4 / (3.D0 * D12) + DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12) + DTRUE(2,6) = 2.D-2 / 1.5D0 + DTRUE(8,6) = 5.D-7 * D12 + DTRUE(1,7) = 4.D0 / 150.D0 + DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12) + DTRUE(7,7) = -DTRUE(6,5) + DTRUE(9,7) = 1.D4 / D12 + DTRUE(1,8) = DTRUE(1,7) + DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12) + DTRUE(1,9) = 32.D0 / 7.D0 + DTRUE(2,9) = -16.D0 / 7.D0 +* .. Executable Statements .. +* +* Compute true values which cannot be prestored +* in decimal notation +* + DBTRUE(1) = 1.0D0/0.6D0 + DBTRUE(3) = -1.0D0/0.6D0 + DBTRUE(5) = 1.0D0/0.6D0 +* + DO 20 K = 1, 8 +* .. Set N=K for identification in output if any .. + N = K + IF (ICASE.EQ.3) THEN +* .. DROTG .. + IF (K.GT.8) GO TO 40 + SA = DA1(K) + SB = DB1(K) + CALL DROTG(SA,SB,SC,SS) + CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC) + CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC) + CALL STEST1(SC,DC1(K),DC1(K),SFAC) + CALL STEST1(SS,DS1(K),DS1(K),SFAC) + ELSEIF (ICASE.EQ.11) THEN +* .. DROTMG .. + DO I=1,4 + DTEMP(I)= DAB(I,K) + DTEMP(I+4) = 0.0 + END DO + DTEMP(9) = 0.0 + CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5)) + CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK0' + STOP + END IF + 20 CONTINUE + 40 RETURN + END + SUBROUTINE CHECK1(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER I, LEN, NP1 +* .. Local Arrays .. + DOUBLE PRECISION DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2), + + SA(10), STEMP(1), STRUE(8), SX(8) + INTEGER ITRUE2(5) +* .. External Functions .. + DOUBLE PRECISION DASUM, DNRM2 + INTEGER IDAMAX + EXTERNAL DASUM, DNRM2, IDAMAX +* .. External Subroutines .. + EXTERNAL ITEST1, DSCAL, STEST, STEST1 +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0, + + 0.3D0, 0.3D0, 0.3D0, 0.3D0/ + DATA DV/0.1D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, + + 2.0D0, 2.0D0, 0.3D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, + + 3.0D0, 3.0D0, 3.0D0, 0.3D0, -0.4D0, 4.0D0, + + 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 0.2D0, + + -0.6D0, 0.3D0, 5.0D0, 5.0D0, 5.0D0, 5.0D0, + + 5.0D0, 0.1D0, -0.3D0, 0.5D0, -0.1D0, 6.0D0, + + 6.0D0, 6.0D0, 6.0D0, 0.1D0, 8.0D0, 8.0D0, 8.0D0, + + 8.0D0, 8.0D0, 8.0D0, 8.0D0, 0.3D0, 9.0D0, 9.0D0, + + 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 0.3D0, 2.0D0, + + -0.4D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, + + 0.2D0, 3.0D0, -0.6D0, 5.0D0, 0.3D0, 2.0D0, + + 2.0D0, 2.0D0, 0.1D0, 4.0D0, -0.3D0, 6.0D0, + + -0.5D0, 7.0D0, -0.1D0, 3.0D0/ + DATA DTRUE1/0.0D0, 0.3D0, 0.5D0, 0.7D0, 0.6D0/ + DATA DTRUE3/0.0D0, 0.3D0, 0.7D0, 1.1D0, 1.0D0/ + DATA DTRUE5/0.10D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, + + 2.0D0, 2.0D0, 2.0D0, -0.3D0, 3.0D0, 3.0D0, + + 3.0D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, 0.0D0, 0.0D0, + + 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, + + 0.20D0, -0.60D0, 0.30D0, 5.0D0, 5.0D0, 5.0D0, + + 5.0D0, 5.0D0, 0.03D0, -0.09D0, 0.15D0, -0.03D0, + + 6.0D0, 6.0D0, 6.0D0, 6.0D0, 0.10D0, 8.0D0, + + 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, + + 0.09D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, + + 9.0D0, 9.0D0, 0.09D0, 2.0D0, -0.12D0, 2.0D0, + + 2.0D0, 2.0D0, 2.0D0, 2.0D0, 0.06D0, 3.0D0, + + -0.18D0, 5.0D0, 0.09D0, 2.0D0, 2.0D0, 2.0D0, + + 0.03D0, 4.0D0, -0.09D0, 6.0D0, -0.15D0, 7.0D0, + + -0.03D0, 3.0D0/ + DATA ITRUE2/0, 1, 2, 2, 3/ +* .. Executable Statements .. + DO 80 INCX = 1, 2 + DO 60 NP1 = 1, 5 + N = NP1 - 1 + LEN = 2*MAX(N,1) +* .. Set vector arguments .. + DO 20 I = 1, LEN + SX(I) = DV(I,NP1,INCX) + 20 CONTINUE +* + IF (ICASE.EQ.7) THEN +* .. DNRM2 .. + STEMP(1) = DTRUE1(NP1) + CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC) + ELSE IF (ICASE.EQ.8) THEN +* .. DASUM .. + STEMP(1) = DTRUE3(NP1) + CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC) + ELSE IF (ICASE.EQ.9) THEN +* .. DSCAL .. + CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX) + DO 40 I = 1, LEN + STRUE(I) = DTRUE5(I,NP1,INCX) + 40 CONTINUE + CALL STEST(LEN,SX,STRUE,STRUE,SFAC) + ELSE IF (ICASE.EQ.10) THEN +* .. IDAMAX .. + CALL ITEST1(IDAMAX(N,SX,INCX),ITRUE2(NP1)) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK1' + STOP + END IF + 60 CONTINUE + 80 CONTINUE + RETURN + END + SUBROUTINE CHECK2(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SA + INTEGER I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY, + $ MX, MY +* .. Local Arrays .. + DOUBLE PRECISION DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4), + $ DT8(7,4,4), DX1(7), + $ DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7), + $ STX(7), STY(7), SX(7), SY(7), + $ DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4), + $ DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4), + $ DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4), + $ DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5) + INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4) +* .. External Functions .. + DOUBLE PRECISION DDOT, DSDOT + EXTERNAL DDOT, DSDOT +* .. External Subroutines .. + EXTERNAL DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1 +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5), + A DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)), + B (DT19X(1,1,13),DT19XD(1,1,1)) + EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5), + A DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)), + B (DT19Y(1,1,13),DT19YD(1,1,1)) + + DATA SA/0.3D0/ + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0, + + -0.4D0/ + DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0, + + 0.8D0/ + DATA DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0, + + 0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0, + + -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/ + DATA DT8/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.15D0, + + 0.94D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.68D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.35D0, -0.9D0, 0.48D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.38D0, -0.9D0, 0.57D0, 0.7D0, -0.75D0, + + 0.2D0, 0.98D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.68D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.35D0, -0.72D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.38D0, + + -0.63D0, 0.15D0, 0.88D0, 0.0D0, 0.0D0, 0.0D0, + + 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0, + + -0.75D0, 0.2D0, 1.04D0/ + DATA DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.5D0, -0.9D0, 0.3D0, 0.7D0, + + 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.3D0, 0.1D0, 0.5D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.8D0, 0.1D0, -0.6D0, + + 0.8D0, 0.3D0, -0.3D0, 0.5D0, 0.6D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.9D0, + + 0.1D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0, + + 0.1D0, 0.3D0, 0.8D0, -0.9D0, -0.3D0, 0.5D0, + + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.5D0, 0.3D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.5D0, 0.3D0, -0.6D0, 0.8D0, 0.0D0, 0.0D0, + + 0.0D0/ + DATA DT10Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.6D0, 0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.0D0, + + 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, -0.5D0, -0.9D0, 0.6D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, -0.4D0, -0.9D0, 0.9D0, + + 0.7D0, -0.5D0, 0.2D0, 0.6D0, 0.5D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.5D0, + + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + -0.4D0, 0.9D0, -0.5D0, 0.6D0, 0.0D0, 0.0D0, + + 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.7D0, + + -0.5D0, 0.2D0, 0.8D0/ + DATA SSIZE1/0.0D0, 0.3D0, 1.6D0, 3.2D0/ + DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, + + 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, + + 1.17D0, 1.17D0, 1.17D0/ +* +* FOR DROTM +* + DATA DPAR/-2.D0, 0.D0,0.D0,0.D0,0.D0, + A -1.D0, 2.D0, -3.D0, -4.D0, 5.D0, + B 0.D0, 0.D0, 2.D0, -3.D0, 0.D0, + C 1.D0, 5.D0, 2.D0, 0.D0, -4.D0/ +* TRUE X RESULTS F0R ROTATIONS DROTM + DATA DT19XA/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + I -.8D0, 3.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + J -.9D0, 2.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + K 3.5D0, -.4D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0, + M -.8D0, 3.8D0, -2.2D0, -1.2D0, 0.D0,0.D0,0.D0, + N -.9D0, 2.8D0, -1.4D0, -1.3D0, 0.D0,0.D0,0.D0, + O 3.5D0, -.4D0, -2.2D0, 4.7D0, 0.D0,0.D0,0.D0/ +* + DATA DT19XB/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0, + I 0.D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0, + J -.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0, + K 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0, + L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0, + M -2.0D0, .1D0, 1.4D0, .8D0, .6D0, -.3D0, -2.8D0, + N -1.8D0, .1D0, 1.3D0, .8D0, 0.D0, -.3D0, -1.9D0, + O 3.8D0, .1D0, -3.1D0, .8D0, 4.8D0, -.3D0, -1.5D0 / +* + DATA DT19XC/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0, + I 4.8D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0, + J 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0, + K 2.1D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0, + L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0, + M -1.6D0, .1D0, -2.2D0, .8D0, 5.4D0, -.3D0, -2.8D0, + N -1.5D0, .1D0, -1.4D0, .8D0, 3.6D0, -.3D0, -1.9D0, + O 3.7D0, .1D0, -2.2D0, .8D0, 3.6D0, -.3D0, -1.5D0 / +* + DATA DT19XD/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + I -.8D0, -1.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + J -.9D0, -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + K 3.5D0, .8D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0, + M -.8D0, -1.0D0, 1.4D0, -1.6D0, 0.D0,0.D0,0.D0, + N -.9D0, -.8D0, 1.3D0, -1.6D0, 0.D0,0.D0,0.D0, + O 3.5D0, .8D0, -3.1D0, 4.8D0, 0.D0,0.D0,0.D0/ +* TRUE Y RESULTS FOR ROTATIONS DROTM + DATA DT19YA/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + I .7D0, -4.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + J 1.7D0, -.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + K -2.6D0, 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0, + M .7D0, -4.8D0, 3.0D0, 1.1D0, 0.D0,0.D0,0.D0, + N 1.7D0, -.7D0, -.7D0, 2.3D0, 0.D0,0.D0,0.D0, + O -2.6D0, 3.5D0, -.7D0, -3.6D0, 0.D0,0.D0,0.D0/ +* + DATA DT19YB/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0, + I 4.0D0, -.9D0, -.3D0, 0.D0,0.D0,0.D0,0.D0, + J -.5D0, -.9D0, 1.5D0, 0.D0,0.D0,0.D0,0.D0, + K -1.5D0, -.9D0, -1.8D0, 0.D0,0.D0,0.D0,0.D0, + L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0, + M 3.7D0, -.9D0, -1.2D0, .7D0, -1.5D0, .2D0, 2.2D0, + N -.3D0, -.9D0, 2.1D0, .7D0, -1.6D0, .2D0, 2.0D0, + O -1.6D0, -.9D0, -2.1D0, .7D0, 2.9D0, .2D0, -3.8D0 / +* + DATA DT19YC/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + I 4.0D0, -6.3D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + J -.5D0, .3D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + K -1.5D0, 3.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0, + L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0, + M 3.7D0, -7.2D0, 3.0D0, 1.7D0, 0.D0,0.D0,0.D0, + N -.3D0, .9D0, -.7D0, 1.9D0, 0.D0,0.D0,0.D0, + O -1.6D0, 2.7D0, -.7D0, -3.4D0, 0.D0,0.D0,0.D0/ +* + DATA DT19YD/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0, + H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0, + I .7D0, -.9D0, 1.2D0, 0.D0,0.D0,0.D0,0.D0, + J 1.7D0, -.9D0, .5D0, 0.D0,0.D0,0.D0,0.D0, + K -2.6D0, -.9D0, -1.3D0, 0.D0,0.D0,0.D0,0.D0, + L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0, + M .7D0, -.9D0, 1.2D0, .7D0, -1.5D0, .2D0, 1.6D0, + N 1.7D0, -.9D0, .5D0, .7D0, -1.6D0, .2D0, 2.4D0, + O -2.6D0, -.9D0, -1.3D0, .7D0, 2.9D0, .2D0, -4.0D0 / +* +* .. Executable Statements .. +* + DO 120 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 100 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* .. Initialize all argument arrays .. + DO 20 I = 1, 7 + SX(I) = DX1(I) + SY(I) = DY1(I) + 20 CONTINUE +* + IF (ICASE.EQ.1) THEN +* .. DDOT .. + CALL STEST1(DDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN) + + ,SFAC) + ELSE IF (ICASE.EQ.2) THEN +* .. DAXPY .. + CALL DAXPY(N,SA,SX,INCX,SY,INCY) + DO 40 J = 1, LENY + STY(J) = DT8(J,KN,KI) + 40 CONTINUE + CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC) + ELSE IF (ICASE.EQ.5) THEN +* .. DCOPY .. + DO 60 I = 1, 7 + STY(I) = DT10Y(I,KN,KI) + 60 CONTINUE + CALL DCOPY(N,SX,INCX,SY,INCY) + CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0) + ELSE IF (ICASE.EQ.6) THEN +* .. DSWAP .. + CALL DSWAP(N,SX,INCX,SY,INCY) + DO 80 I = 1, 7 + STX(I) = DT10X(I,KN,KI) + STY(I) = DT10Y(I,KN,KI) + 80 CONTINUE + CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0) + CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0) + ELSE IF (ICASE.EQ.12) THEN +* .. DROTM .. + KNI=KN+4*(KI-1) + DO KPAR=1,4 + DO I=1,7 + SX(I) = DX1(I) + SY(I) = DY1(I) + STX(I)= DT19X(I,KPAR,KNI) + STY(I)= DT19Y(I,KPAR,KNI) + END DO +* + DO I=1,5 + DTEMP(I) = DPAR(I,KPAR) + END DO +* + DO I=1,LENX + SSIZE(I)=STX(I) + END DO +* SEE REMARK ABOVE ABOUT DT11X(1,2,7) +* AND DT11X(5,3,8). + IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7)) + $ SSIZE(1) = 2.4D0 + IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8)) + $ SSIZE(5) = 1.8D0 +* + CALL DROTM(N,SX,INCX,SY,INCY,DTEMP) + CALL STEST(LENX,SX,STX,SSIZE,SFAC) + CALL STEST(LENY,SY,STY,STY,SFAC) + END DO + ELSE IF (ICASE.EQ.13) THEN +* .. DSDOT .. + CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)), + $ REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK2' + STOP + END IF + 100 CONTINUE + 120 CONTINUE + RETURN + END + SUBROUTINE CHECK3(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SC, SS + INTEGER I, K, KI, KN, KSIZE, LENX, LENY, MX, MY +* .. Local Arrays .. + DOUBLE PRECISION COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4), + + DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5), + + MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5), + + MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7), + + SY(7) + INTEGER INCXS(4), INCYS(4), LENS(4,2), MWPINX(11), + + MWPINY(11), MWPN(11), NS(4) +* .. External Subroutines .. + EXTERNAL DROT, STEST +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0, + + -0.4D0/ + DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0, + + 0.8D0/ + DATA SC, SS/0.8D0, 0.6D0/ + DATA DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0, + + 1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0, + + -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0, + + -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0, + + 0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0, + + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0, + + 0.0D0, 0.0D0, 0.0D0/ + DATA DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0, + + 0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0, + + -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0, + + 0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0, + + 0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0, + + -0.18D0, 0.2D0, 0.16D0/ + DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, + + 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, + + 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, + + 1.17D0, 1.17D0, 1.17D0/ +* .. Executable Statements .. +* + DO 60 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 40 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* + IF (ICASE.EQ.4) THEN +* .. DROT .. + DO 20 I = 1, 7 + SX(I) = DX1(I) + SY(I) = DY1(I) + STX(I) = DT9X(I,KN,KI) + STY(I) = DT9Y(I,KN,KI) + 20 CONTINUE + CALL DROT(N,SX,INCX,SY,INCY,SC,SS) + CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC) + CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK3' + STOP + END IF + 40 CONTINUE + 60 CONTINUE +* + MWPC(1) = 1 + DO 80 I = 2, 11 + MWPC(I) = 0 + 80 CONTINUE + MWPS(1) = 0 + DO 100 I = 2, 6 + MWPS(I) = 1 + 100 CONTINUE + DO 120 I = 7, 11 + MWPS(I) = -1 + 120 CONTINUE + MWPINX(1) = 1 + MWPINX(2) = 1 + MWPINX(3) = 1 + MWPINX(4) = -1 + MWPINX(5) = 1 + MWPINX(6) = -1 + MWPINX(7) = 1 + MWPINX(8) = 1 + MWPINX(9) = -1 + MWPINX(10) = 1 + MWPINX(11) = -1 + MWPINY(1) = 1 + MWPINY(2) = 1 + MWPINY(3) = -1 + MWPINY(4) = -1 + MWPINY(5) = 2 + MWPINY(6) = 1 + MWPINY(7) = 1 + MWPINY(8) = -1 + MWPINY(9) = -1 + MWPINY(10) = 2 + MWPINY(11) = 1 + DO 140 I = 1, 11 + MWPN(I) = 5 + 140 CONTINUE + MWPN(5) = 3 + MWPN(10) = 3 + DO 160 I = 1, 5 + MWPX(I) = I + MWPY(I) = I + MWPTX(1,I) = I + MWPTY(1,I) = I + MWPTX(2,I) = I + MWPTY(2,I) = -I + MWPTX(3,I) = 6 - I + MWPTY(3,I) = I - 6 + MWPTX(4,I) = I + MWPTY(4,I) = -I + MWPTX(6,I) = 6 - I + MWPTY(6,I) = I - 6 + MWPTX(7,I) = -I + MWPTY(7,I) = I + MWPTX(8,I) = I - 6 + MWPTY(8,I) = 6 - I + MWPTX(9,I) = -I + MWPTY(9,I) = I + MWPTX(11,I) = I - 6 + MWPTY(11,I) = 6 - I + 160 CONTINUE + MWPTX(5,1) = 1 + MWPTX(5,2) = 3 + MWPTX(5,3) = 5 + MWPTX(5,4) = 4 + MWPTX(5,5) = 5 + MWPTY(5,1) = -1 + MWPTY(5,2) = 2 + MWPTY(5,3) = -2 + MWPTY(5,4) = 4 + MWPTY(5,5) = -3 + MWPTX(10,1) = -1 + MWPTX(10,2) = -3 + MWPTX(10,3) = -5 + MWPTX(10,4) = 4 + MWPTX(10,5) = 5 + MWPTY(10,1) = 1 + MWPTY(10,2) = 2 + MWPTY(10,3) = 2 + MWPTY(10,4) = 4 + MWPTY(10,5) = 3 + DO 200 I = 1, 11 + INCX = MWPINX(I) + INCY = MWPINY(I) + DO 180 K = 1, 5 + COPYX(K) = MWPX(K) + COPYY(K) = MWPY(K) + MWPSTX(K) = MWPTX(I,K) + MWPSTY(K) = MWPTY(I,K) + 180 CONTINUE + CALL DROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I)) + CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC) + CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC) + 200 CONTINUE + RETURN + END + SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC) +* ********************************* STEST ************************** +* +* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO +* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE +* NEGLIGIBLE. +* +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + DOUBLE PRECISION ZERO + PARAMETER (NOUT=6, ZERO=0.0D0) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC + INTEGER LEN +* .. Array Arguments .. + DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SD + INTEGER I +* .. External Functions .. + DOUBLE PRECISION SDIFF + EXTERNAL SDIFF +* .. Intrinsic Functions .. + INTRINSIC ABS +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Executable Statements .. +* + DO 40 I = 1, LEN + SD = SCOMP(I) - STRUE(I) + IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO)) + + GO TO 40 +* +* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I). +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I), + + STRUE(I), SD, SSIZE(I) + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY I ', + + ' COMP(I) TRUE(I) DIFFERENCE', + + ' SIZE(I)',/1X) +99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4) + END + SUBROUTINE TESTDSDOT(SCOMP,STRUE,SSIZE,SFAC) +* ********************************* STEST ************************** +* +* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO +* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE +* NEGLIGIBLE. +* +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + REAL ZERO + PARAMETER (NOUT=6, ZERO=0.0E0) +* .. Scalar Arguments .. + REAL SFAC, SCOMP, SSIZE, STRUE +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL SD +* .. Intrinsic Functions .. + INTRINSIC ABS +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Executable Statements .. +* + SD = SCOMP - STRUE + IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * EPSILON(ZERO)) + + GO TO 40 +* +* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I). +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, SCOMP, + + STRUE, SD, SSIZE + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY ', + + ' COMP(I) TRUE(I) DIFFERENCE', + + ' SIZE(I)',/1X) +99997 FORMAT (1X,I4,I3,1I5,I3,2E36.8,2E12.4) + END + SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC) +* ************************* STEST1 ***************************** +* +* THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN +* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE +* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT. +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + DOUBLE PRECISION SCOMP1, SFAC, STRUE1 +* .. Array Arguments .. + DOUBLE PRECISION SSIZE(*) +* .. Local Arrays .. + DOUBLE PRECISION SCOMP(1), STRUE(1) +* .. External Subroutines .. + EXTERNAL STEST +* .. Executable Statements .. +* + SCOMP(1) = SCOMP1 + STRUE(1) = STRUE1 + CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC) +* + RETURN + END + DOUBLE PRECISION FUNCTION SDIFF(SA,SB) +* ********************************* SDIFF ************************** +* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15 +* +* .. Scalar Arguments .. + DOUBLE PRECISION SA, SB +* .. Executable Statements .. + SDIFF = SA - SB + RETURN + END + SUBROUTINE ITEST1(ICOMP,ITRUE) +* ********************************* ITEST1 ************************* +* +* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR +* EQUALITY. +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + INTEGER ICOMP, ITRUE +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER ID +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Executable Statements .. +* + IF (ICOMP.EQ.ITRUE) GO TO 40 +* +* HERE ICOMP IS NOT EQUAL TO ITRUE. +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 ID = ICOMP - ITRUE + WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY ', + + ' COMP TRUE DIFFERENCE', + + /1X) +99997 FORMAT (1X,I4,I3,2I5,2I36,I12) + END diff --git a/eigen/blas/testing/dblat2.dat b/eigen/blas/testing/dblat2.dat new file mode 100644 index 0000000..3755b83 --- /dev/null +++ b/eigen/blas/testing/dblat2.dat @@ -0,0 +1,34 @@ +'dblat2.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'dblat2.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +4 NUMBER OF VALUES OF K +0 1 2 4 VALUES OF K +4 NUMBER OF VALUES OF INCX AND INCY +1 2 -1 -2 VALUES OF INCX AND INCY +3 NUMBER OF VALUES OF ALPHA +0.0 1.0 0.7 VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +0.0 1.0 0.9 VALUES OF BETA +DGEMV T PUT F FOR NO TEST. SAME COLUMNS. +DGBMV T PUT F FOR NO TEST. SAME COLUMNS. +DSYMV T PUT F FOR NO TEST. SAME COLUMNS. +DSBMV T PUT F FOR NO TEST. SAME COLUMNS. +DSPMV T PUT F FOR NO TEST. SAME COLUMNS. +DTRMV T PUT F FOR NO TEST. SAME COLUMNS. +DTBMV T PUT F FOR NO TEST. SAME COLUMNS. +DTPMV T PUT F FOR NO TEST. SAME COLUMNS. +DTRSV T PUT F FOR NO TEST. SAME COLUMNS. +DTBSV T PUT F FOR NO TEST. SAME COLUMNS. +DTPSV T PUT F FOR NO TEST. SAME COLUMNS. +DGER T PUT F FOR NO TEST. SAME COLUMNS. +DSYR T PUT F FOR NO TEST. SAME COLUMNS. +DSPR T PUT F FOR NO TEST. SAME COLUMNS. +DSYR2 T PUT F FOR NO TEST. SAME COLUMNS. +DSPR2 T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/dblat2.f b/eigen/blas/testing/dblat2.f new file mode 100644 index 0000000..4002d43 --- /dev/null +++ b/eigen/blas/testing/dblat2.f @@ -0,0 +1,3138 @@ + PROGRAM DBLAT2 +* +* Test program for the DOUBLE PRECISION Level 2 Blas. +* +* The program must be driven by a short data file. The first 18 records +* of the file are read using list-directed input, the last 16 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 34 lines: +* 'DBLAT2.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'DBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 4 NUMBER OF VALUES OF K +* 0 1 2 4 VALUES OF K +* 4 NUMBER OF VALUES OF INCX AND INCY +* 1 2 -1 -2 VALUES OF INCX AND INCY +* 3 NUMBER OF VALUES OF ALPHA +* 0.0 1.0 0.7 VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* 0.0 1.0 0.9 VALUES OF BETA +* DGEMV T PUT F FOR NO TEST. SAME COLUMNS. +* DGBMV T PUT F FOR NO TEST. SAME COLUMNS. +* DSYMV T PUT F FOR NO TEST. SAME COLUMNS. +* DSBMV T PUT F FOR NO TEST. SAME COLUMNS. +* DSPMV T PUT F FOR NO TEST. SAME COLUMNS. +* DTRMV T PUT F FOR NO TEST. SAME COLUMNS. +* DTBMV T PUT F FOR NO TEST. SAME COLUMNS. +* DTPMV T PUT F FOR NO TEST. SAME COLUMNS. +* DTRSV T PUT F FOR NO TEST. SAME COLUMNS. +* DTBSV T PUT F FOR NO TEST. SAME COLUMNS. +* DTPSV T PUT F FOR NO TEST. SAME COLUMNS. +* DGER T PUT F FOR NO TEST. SAME COLUMNS. +* DSYR T PUT F FOR NO TEST. SAME COLUMNS. +* DSPR T PUT F FOR NO TEST. SAME COLUMNS. +* DSYR2 T PUT F FOR NO TEST. SAME COLUMNS. +* DSPR2 T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J.. +* An extended set of Fortran Basic Linear Algebra Subprograms. +* +* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics +* and Computer Science Division, Argonne National Laboratory, +* 9700 South Cass Avenue, Argonne, Illinois 60439, US. +* +* Or +* +* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms +* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford +* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st +* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA. +* +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 16 ) + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) + INTEGER NMAX, INCMAX + PARAMETER ( NMAX = 65, INCMAX = 2 ) + INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX + PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7, + $ NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + DOUBLE PRECISION EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB, + $ NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANS + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ), + $ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( 2*NMAX ) + INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + DOUBLE PRECISION DDIFF + LOGICAL LDE + EXTERNAL DDIFF, LDE +* .. External Subroutines .. + EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, DCHK6, + $ DCHKE, DMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'DGEMV ', 'DGBMV ', 'DSYMV ', 'DSBMV ', + $ 'DSPMV ', 'DTRMV ', 'DTBMV ', 'DTPMV ', + $ 'DTRSV ', 'DTBSV ', 'DTPSV ', 'DGER ', + $ 'DSYR ', 'DSPR ', 'DSYR2 ', 'DSPR2 '/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 230 + END IF + 10 CONTINUE +* Values of K + READ( NIN, FMT = * )NKB + IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN + WRITE( NOUT, FMT = 9997 )'K', NKBMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( KB( I ), I = 1, NKB ) + DO 20 I = 1, NKB + IF( KB( I ).LT.0 )THEN + WRITE( NOUT, FMT = 9995 ) + GO TO 230 + END IF + 20 CONTINUE +* Values of INCX and INCY + READ( NIN, FMT = * )NINC + IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN + WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( INC( I ), I = 1, NINC ) + DO 30 I = 1, NINC + IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN + WRITE( NOUT, FMT = 9994 )INCMAX + GO TO 230 + END IF + 30 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9993 ) + WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB ) + WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC ) + WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9980 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 40 I = 1, NSUBS + LTEST( I ) = .FALSE. + 40 CONTINUE + 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT + DO 60 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 70 + 60 CONTINUE + WRITE( NOUT, FMT = 9986 )SNAMET + STOP + 70 LTEST( I ) = LTESTT + GO TO 50 +* + 80 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = ONE + 90 CONTINUE + IF( DDIFF( ONE + EPS, ONE ).EQ.ZERO ) + $ GO TO 100 + EPS = HALF*EPS + GO TO 90 + 100 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of DMVCH using exact data. +* + N = MIN( 32, NMAX ) + DO 120 J = 1, N + DO 110 I = 1, N + A( I, J ) = MAX( I - J + 1, 0 ) + 110 CONTINUE + X( J ) = J + Y( J ) = ZERO + 120 CONTINUE + DO 130 J = 1, N + YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE +* YY holds the exact result. On exit from DMVCH YT holds +* the result computed by DMVCH. + TRANS = 'N' + CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF + TRANS = 'T' + CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 210 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL DCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 140, 150, 150, 150, 160, 160, + $ 160, 160, 160, 160, 170, 180, 180, + $ 190, 190 )ISNUM +* Test DGEMV, 01, and DGBMV, 02. + 140 CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test DSYMV, 03, DSBMV, 04, and DSPMV, 05. + 150 CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test DTRMV, 06, DTBMV, 07, DTPMV, 08, +* DTRSV, 09, DTBSV, 10, and DTPSV, 11. + 160 CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z ) + GO TO 200 +* Test DGER, 12. + 170 CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test DSYR, 13, and DSPR, 14. + 180 CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test DSYR2, 15, and DSPR2, 16. + 190 CALL DCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) +* + 200 IF( FATAL.AND.SFATAL ) + $ GO TO 220 + END IF + 210 CONTINUE + WRITE( NOUT, FMT = 9982 ) + GO TO 240 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9981 ) + GO TO 240 +* + 230 CONTINUE + WRITE( NOUT, FMT = 9987 ) +* + 240 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) + 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', + $ I2 ) + 9993 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 2 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9992 FORMAT( ' FOR N ', 9I6 ) + 9991 FORMAT( ' FOR K ', 7I6 ) + 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 ) + 9989 FORMAT( ' FOR ALPHA ', 7F6.1 ) + 9988 FORMAT( ' FOR BETA ', 7F6.1 ) + 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9986 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9985 FORMAT( ' ERROR IN DMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' DMVCH WAS CALLED WITH TRANS = ', A1, + $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', / + $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.' + $ , /' ******* TESTS ABANDONED *******' ) + 9984 FORMAT( A6, L2 ) + 9983 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9982 FORMAT( /' END OF TESTS' ) + 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of DBLAT2. +* + END + SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests DGEMV and DGBMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA, + $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK, + $ NL, NS + LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN + CHARACTER*1 TRANS, TRANSS + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DGBMV, DGEMV, DMAKE, DMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 11 + ELSE IF( BANDED )THEN + NARGS = 13 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IKU = 1, NK + IF( BANDED )THEN + KU = KB( IKU ) + KL = MAX( KU - 1, 0 ) + ELSE + KU = N - 1 + KL = M - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = KL + KU + 1 + ELSE + LDA = M + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA, + $ LDA, KL, KU, RESET, TRANSL ) +* + DO 90 IC = 1, 3 + TRANS = ICH( IC: IC ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' +* + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*NL +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, NL, X, 1, XX, + $ ABS( INCX ), 0, NL - 1, RESET, TRANSL ) + IF( NL.GT.1 )THEN + X( NL/2 ) = ZERO + XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*ML +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL DMAKE( 'GE', ' ', ' ', 1, ML, Y, 1, + $ YY, ABS( INCY ), 0, ML - 1, + $ RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANSS = TRANS + MS = M + NS = N + KLS = KL + KUS = KU + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ TRANS, M, N, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL DGEMV( TRANS, M, N, ALPHA, AA, + $ LDA, XX, INCX, BETA, YY, + $ INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANS, M, N, KL, KU, ALPHA, LDA, + $ INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL DGBMV( TRANS, M, N, KL, KU, ALPHA, + $ AA, LDA, XX, INCX, BETA, + $ YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 130 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANS.EQ.TRANSS + ISAME( 2 ) = MS.EQ.M + ISAME( 3 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LDE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LDE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LDE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LDERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 4 ) = KLS.EQ.KL + ISAME( 5 ) = KUS.EQ.KU + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LDE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LDE( XS, XX, LX ) + ISAME( 10 ) = INCXS.EQ.INCX + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LDE( YS, YY, LY ) + ELSE + ISAME( 12 ) = LDERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 13 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 130 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL DMVCH( TRANS, M, N, ALPHA, A, + $ NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 130 + ELSE +* Avoid repeating tests with M.le.0 or +* N.le.0. + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 140 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, + $ ALPHA, LDA, INCX, BETA, INCY + END IF +* + 140 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, + $ ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK1. +* + END + SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests DSYMV, DSBMV and DSPMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY, + $ N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMVCH, DSBMV, DSPMV, DSYMV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 10 + ELSE IF( BANDED )THEN + NARGS = 11 + ELSE IF( PACKED )THEN + NARGS = 9 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA, + $ LDA, K, K, RESET, TRANSL ) +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + UPLOS = UPLO + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, N, ALPHA, LDA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL DSYMV( UPLO, N, ALPHA, AA, LDA, XX, + $ INCX, BETA, YY, INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, N, K, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL DSBMV( UPLO, N, K, ALPHA, AA, LDA, + $ XX, INCX, BETA, YY, INCY ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, N, ALPHA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL DSPMV( UPLO, N, ALPHA, AA, XX, INCX, + $ BETA, YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LDE( AS, AA, LAA ) + ISAME( 5 ) = LDAS.EQ.LDA + ISAME( 6 ) = LDE( XS, XX, LX ) + ISAME( 7 ) = INCXS.EQ.INCX + ISAME( 8 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LDE( YS, YY, LY ) + ELSE + ISAME( 9 ) = LDERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 10 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 3 ) = KS.EQ.K + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LDE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LDE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LDE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LDERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( PACKED )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LDE( AS, AA, LAA ) + ISAME( 5 ) = LDE( XS, XX, LX ) + ISAME( 6 ) = INCXS.EQ.INCX + ISAME( 7 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 8 ) = LDE( YS, YY, LY ) + ELSE + ISAME( 8 ) = LDERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 9 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL DMVCH( 'N', N, N, ALPHA, A, NMAX, X, + $ INCX, BETA, Y, INCY, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0 + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX, + $ BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ BETA, INCY + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', AP', + $ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, + $ ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', A,', + $ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK2. +* + END + SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z ) +* +* Tests DTRMV, DTBMV, DTPMV, DTRSV, DTBSV and DTPSV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XT( NMAX ), + $ XX( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + DOUBLE PRECISION ERR, ERRMAX, TRANSL + INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K, + $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHD, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMVCH, DTBMV, DTBSV, DTPMV, DTPSV, + $ DTRMV, DTRSV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'R' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 8 + ELSE IF( BANDED )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 7 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* Set up zero vector for DMVCH. + DO 10 I = 1, NMAX + Z( I ) = ZERO + 10 CONTINUE +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) +* + DO 70 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A, + $ NMAX, AA, LDA, K, K, RESET, TRANSL ) +* + DO 60 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, + $ TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + DIAGS = DIAG + NS = N + KS = K + DO 20 I = 1, LAA + AS( I ) = AA( I ) + 20 CONTINUE + LDAS = LDA + DO 30 I = 1, LX + XS( I ) = XX( I ) + 30 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTRMV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTBMV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTPMV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTRSV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTBSV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL DTPSV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = TRANS.EQ.TRANSS + ISAME( 3 ) = DIAG.EQ.DIAGS + ISAME( 4 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 5 ) = LDE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 7 ) = LDE( XS, XX, LX ) + ELSE + ISAME( 7 ) = LDERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 8 ) = INCXS.EQ.INCX + ELSE IF( BANDED )THEN + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = LDE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 8 ) = LDE( XS, XX, LX ) + ELSE + ISAME( 8 ) = LDERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 9 ) = INCXS.EQ.INCX + ELSE IF( PACKED )THEN + ISAME( 5 ) = LDE( AS, AA, LAA ) + IF( NULL )THEN + ISAME( 6 ) = LDE( XS, XX, LX ) + ELSE + ISAME( 6 ) = LDERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 7 ) = INCXS.EQ.INCX + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MV' )THEN +* +* Check the result. +* + CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, + $ INCX, ZERO, Z, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN +* +* Compute approximation to original vector. +* + DO 50 I = 1, N + Z( I ) = XX( 1 + ( I - 1 )* + $ ABS( INCX ) ) + XX( 1 + ( I - 1 )*ABS( INCX ) ) + $ = X( I ) + 50 CONTINUE + CALL DMVCH( TRANS, N, N, ONE, A, NMAX, Z, + $ INCX, ZERO, X, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .FALSE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0. + GO TO 110 + END IF +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA, + $ INCX + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K, + $ LDA, INCX + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ', + $ 'X,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ), + $ ' A,', I3, ', X,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,', + $ I3, ', X,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK3. +* + END + SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests DGER. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS, + $ NC, ND, NS + LOGICAL NULL, RESET, SAME +* .. Local Arrays .. + DOUBLE PRECISION W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DGER, DMAKE, DMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* Define the number of arguments. + NARGS = 9 +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* +* Set LDA to 1 more than minimum value if room. + LDA = M + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 100 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*M +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ), + $ 0, M - 1, RESET, TRANSL ) + IF( M.GT.1 )THEN + X( M/2 ) = ZERO + XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO + END IF +* + DO 90 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, + $ AA, LDA, M - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL DGER( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 140 + END IF +* +* See what data changed inside subroutine. +* + ISAME( 1 ) = MS.EQ.M + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LDE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LDE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LDE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LDERES( 'GE', ' ', M, N, AS, AA, + $ LDA ) + END IF + ISAME( 9 ) = LDAS.EQ.LDA +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 140 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, M + Z( I ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, M + Z( I ) = X( M - I + 1 ) + 60 CONTINUE + END IF + DO 70 J = 1, N + IF( INCY.GT.0 )THEN + W( 1 ) = Y( J ) + ELSE + W( 1 ) = Y( N - J + 1 ) + END IF + CALL DMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1, + $ ONE, A( 1, J ), 1, YT, G, + $ AA( 1 + ( J - 1 )*LDA ), EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 130 + 70 CONTINUE + ELSE +* Avoid repeating tests with M.le.0 or N.le.0. + GO TO 110 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 150 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 140 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), F4.1, ', X,', I2, + $ ', Y,', I2, ', A,', I3, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK4. +* + END + SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests DSYR and DSPR. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA, + $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + DOUBLE PRECISION W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMVCH, DSPR, DSYR +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 7 + ELSE IF( PACKED )THEN + NARGS = 6 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, + $ AA, LDA, N - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, LDA + IF( REWI ) + $ REWIND NTRA + CALL DSYR( UPLO, N, ALPHA, XX, INCX, AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX + IF( REWI ) + $ REWIND NTRA + CALL DSPR( UPLO, N, ALPHA, XX, INCX, AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LDE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + IF( NULL )THEN + ISAME( 6 ) = LDE( AS, AA, LAA ) + ELSE + ISAME( 6 ) = LDERES( SNAME( 2: 3 ), UPLO, N, N, AS, + $ AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 7 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 40 I = 1, N + Z( I ) = X( I ) + 40 CONTINUE + ELSE + DO 50 I = 1, N + Z( I ) = X( N - I + 1 ) + 50 CONTINUE + END IF + JA = 1 + DO 60 J = 1, N + W( 1 ) = Z( J ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL DMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W, + $ 1, ONE, A( JJ, J ), 1, YT, G, + $ AA( JA ), EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 110 + 60 CONTINUE + ELSE +* Avoid repeating tests if N.le.0. + IF( N.LE.0 ) + $ GO TO 100 + END IF +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK5. +* + END + SUBROUTINE DCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests DSYR2 and DSPR2. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX, 2 ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N, + $ NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + DOUBLE PRECISION W( 2 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMVCH, DSPR2, DSYR2 +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 8 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 140 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 140 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 130 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 120 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 110 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 100 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL DMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, + $ NMAX, AA, LDA, N - 1, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL DSYR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY + IF( REWI ) + $ REWIND NTRA + CALL DSPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 160 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LDE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LDE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LDE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LDERES( SNAME( 2: 3 ), UPLO, N, N, + $ AS, AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 9 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 160 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, N + Z( I, 1 ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, N + Z( I, 1 ) = X( N - I + 1 ) + 60 CONTINUE + END IF + IF( INCY.GT.0 )THEN + DO 70 I = 1, N + Z( I, 2 ) = Y( I ) + 70 CONTINUE + ELSE + DO 80 I = 1, N + Z( I, 2 ) = Y( N - I + 1 ) + 80 CONTINUE + END IF + JA = 1 + DO 90 J = 1, N + W( 1 ) = Z( J, 2 ) + W( 2 ) = Z( J, 1 ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL DMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ), + $ NMAX, W, 1, ONE, A( JJ, J ), 1, + $ YT, G, AA( JA ), EPS, ERR, FATAL, + $ NOUT, .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 150 + 90 CONTINUE + ELSE +* Avoid repeating tests with N.le.0. + IF( N.LE.0 ) + $ GO TO 140 + END IF +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 170 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 160 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ INCY, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY + END IF +* + 170 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', Y,', I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', Y,', I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK6. +* + END + SUBROUTINE DCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 2 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, BETA, A, X and Y should not need to be defined. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, BETA +* .. Local Arrays .. + DOUBLE PRECISION A( 1, 1 ), X( 1 ), Y( 1 ) +* .. External Subroutines .. + EXTERNAL CHKXER, DGBMV, DGEMV, DGER, DSBMV, DSPMV, DSPR, + $ DSPR2, DSYMV, DSYR, DSYR2, DTBMV, DTBSV, DTPMV, + $ DTPSV, DTRMV, DTRSV +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90, 100, 110, 120, 130, 140, 150, + $ 160 )ISNUM + 10 INFOT = 1 + CALL DGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 20 INFOT = 1 + CALL DGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL DGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 30 INFOT = 1 + CALL DSYMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DSYMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 40 INFOT = 1 + CALL DSBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DSBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DSBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DSBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 50 INFOT = 1 + CALL DSPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DSPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 60 INFOT = 1 + CALL DTRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 70 INFOT = 1 + CALL DTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 80 INFOT = 1 + CALL DTPMV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTPMV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTPMV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTPMV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DTPMV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 90 INFOT = 1 + CALL DTRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 100 INFOT = 1 + CALL DTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 110 INFOT = 1 + CALL DTPSV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTPSV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTPSV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTPSV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DTPSV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 120 INFOT = 1 + CALL DGER( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DGER( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGER( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DGER( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DGER( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 130 INFOT = 1 + CALL DSYR( '/', 0, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYR( 'U', -1, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DSYR( 'U', 0, ALPHA, X, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR( 'U', 2, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 140 INFOT = 1 + CALL DSPR( '/', 0, ALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSPR( 'U', -1, ALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DSPR( 'U', 0, ALPHA, X, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 150 INFOT = 1 + CALL DSYR2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYR2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DSYR2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYR2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 160 INFOT = 1 + CALL DSPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DSPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSPR2( 'U', 0, ALPHA, X, 1, Y, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 170 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of DCHKE. +* + END + SUBROUTINE DMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL, + $ KU, RESET, TRANSL ) +* +* Generates values for an M by N matrix A within the bandwidth +* defined by KL and KU. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'GB', 'SY', 'SB', 'SP', 'TR', 'TB' OR 'TP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) + DOUBLE PRECISION ROGUE + PARAMETER ( ROGUE = -1.0D10 ) +* .. Scalar Arguments .. + DOUBLE PRECISION TRANSL + INTEGER KL, KU, LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + DOUBLE PRECISION DBEG + EXTERNAL DBEG +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Executable Statements .. + GEN = TYPE( 1: 1 ).EQ.'G' + SYM = TYPE( 1: 1 ).EQ.'S' + TRI = TYPE( 1: 1 ).EQ.'T' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + IF( ( I.LE.J.AND.J - I.LE.KU ).OR. + $ ( I.GE.J.AND.I - J.LE.KL ) )THEN + A( I, J ) = DBEG( RESET ) + TRANSL + ELSE + A( I, J ) = ZERO + END IF + IF( I.NE.J )THEN + IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'GB' )THEN + DO 90 J = 1, N + DO 60 I1 = 1, KU + 1 - J + AA( I1 + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J ) + AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) + 70 CONTINUE + DO 80 I3 = I2, LDA + AA( I3 + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 130 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 100 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 100 CONTINUE + DO 110 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 110 CONTINUE + DO 120 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 120 CONTINUE + 130 CONTINUE + ELSE IF( TYPE.EQ.'SB'.OR.TYPE.EQ.'TB' )THEN + DO 170 J = 1, N + IF( UPPER )THEN + KK = KL + 1 + IBEG = MAX( 1, KL + 2 - J ) + IF( UNIT )THEN + IEND = KL + ELSE + IEND = KL + 1 + END IF + ELSE + KK = 1 + IF( UNIT )THEN + IBEG = 2 + ELSE + IBEG = 1 + END IF + IEND = MIN( KL + 1, 1 + M - J ) + END IF + DO 140 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 140 CONTINUE + DO 150 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) + 150 CONTINUE + DO 160 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 160 CONTINUE + 170 CONTINUE + ELSE IF( TYPE.EQ.'SP'.OR.TYPE.EQ.'TP' )THEN + IOFF = 0 + DO 190 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 180 I = IBEG, IEND + IOFF = IOFF + 1 + AA( IOFF ) = A( I, J ) + IF( I.EQ.J )THEN + IF( UNIT ) + $ AA( IOFF ) = ROGUE + END IF + 180 CONTINUE + 190 CONTINUE + END IF + RETURN +* +* End of DMAKE. +* + END + SUBROUTINE DMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION ALPHA, BETA, EPS, ERR + INTEGER INCX, INCY, M, N, NMAX, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANS +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ), + $ YY( * ) +* .. Local Scalars .. + DOUBLE PRECISION ERRI + INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL + LOGICAL TRAN +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, SQRT +* .. Executable Statements .. + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF + IF( INCX.LT.0 )THEN + KX = NL + INCXL = -1 + ELSE + KX = 1 + INCXL = 1 + END IF + IF( INCY.LT.0 )THEN + KY = ML + INCYL = -1 + ELSE + KY = 1 + INCYL = 1 + END IF +* +* Compute expected result in YT using data in A, X and Y. +* Compute gauges in G. +* + IY = KY + DO 30 I = 1, ML + YT( IY ) = ZERO + G( IY ) = ZERO + JX = KX + IF( TRAN )THEN + DO 10 J = 1, NL + YT( IY ) = YT( IY ) + A( J, I )*X( JX ) + G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) ) + JX = JX + INCXL + 10 CONTINUE + ELSE + DO 20 J = 1, NL + YT( IY ) = YT( IY ) + A( I, J )*X( JX ) + G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) ) + JX = JX + INCXL + 20 CONTINUE + END IF + YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY ) + G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) ) + IY = IY + INCYL + 30 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 40 I = 1, ML + ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS + IF( G( I ).NE.ZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.ONE ) + $ GO TO 50 + 40 CONTINUE +* If the loop completes, all results are at least half accurate. + GO TO 70 +* +* Report fatal error. +* + 50 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 60 I = 1, ML + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, YT( I ), + $ YY( 1 + ( I - 1 )*ABS( INCY ) ) + ELSE + WRITE( NOUT, FMT = 9998 )I, + $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I ) + END IF + 60 CONTINUE +* + 70 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', + $ 'TED RESULT' ) + 9998 FORMAT( 1X, I7, 2G18.6 ) +* +* End of DMVCH. +* + END + LOGICAL FUNCTION LDE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + DOUBLE PRECISION RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LDE = .TRUE. + GO TO 30 + 20 CONTINUE + LDE = .FALSE. + 30 RETURN +* +* End of LDE. +* + END + LOGICAL FUNCTION LDERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE', 'SY' or 'SP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + DOUBLE PRECISION AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LDERES = .TRUE. + GO TO 80 + 70 CONTINUE + LDERES = .FALSE. + 80 RETURN +* +* End of LDERES. +* + END + DOUBLE PRECISION FUNCTION DBEG( RESET ) +* +* Generates random numbers uniformly distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, MI +* .. Save statement .. + SAVE I, IC, MI +* .. Intrinsic Functions .. + INTRINSIC DBLE +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + I = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I is bounded between 1 and 999. +* If initial I = 1,2,3,6,7 or 9, the period will be 50. +* If initial I = 4 or 8, the period will be 25. +* If initial I = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I in 6. +* + IC = IC + 1 + 10 I = I*MI + I = I - 1000*( I/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + DBEG = DBLE( I - 500 )/1001.0D0 + RETURN +* +* End of DBEG. +* + END + DOUBLE PRECISION FUNCTION DDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* +* .. Scalar Arguments .. + DOUBLE PRECISION X, Y +* .. Executable Statements .. + DDIFF = X - Y + RETURN +* +* End of DDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 2 BLAS +* routines. +* +* XERBLA is an error handler for the Level 2 BLAS routines. +* +* It is called by the Level 2 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/dblat3.dat b/eigen/blas/testing/dblat3.dat new file mode 100644 index 0000000..5cbc2e6 --- /dev/null +++ b/eigen/blas/testing/dblat3.dat @@ -0,0 +1,20 @@ +'dblat3.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'dblat3.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +3 NUMBER OF VALUES OF ALPHA +0.0 1.0 0.7 VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +0.0 1.0 1.3 VALUES OF BETA +DGEMM T PUT F FOR NO TEST. SAME COLUMNS. +DSYMM T PUT F FOR NO TEST. SAME COLUMNS. +DTRMM T PUT F FOR NO TEST. SAME COLUMNS. +DTRSM T PUT F FOR NO TEST. SAME COLUMNS. +DSYRK T PUT F FOR NO TEST. SAME COLUMNS. +DSYR2K T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/dblat3.f b/eigen/blas/testing/dblat3.f new file mode 100644 index 0000000..082e03e --- /dev/null +++ b/eigen/blas/testing/dblat3.f @@ -0,0 +1,2823 @@ + PROGRAM DBLAT3 +* +* Test program for the DOUBLE PRECISION Level 3 Blas. +* +* The program must be driven by a short data file. The first 14 records +* of the file are read using list-directed input, the last 6 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 20 lines: +* 'DBLAT3.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'DBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 3 NUMBER OF VALUES OF ALPHA +* 0.0 1.0 0.7 VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* 0.0 1.0 1.3 VALUES OF BETA +* DGEMM T PUT F FOR NO TEST. SAME COLUMNS. +* DSYMM T PUT F FOR NO TEST. SAME COLUMNS. +* DTRMM T PUT F FOR NO TEST. SAME COLUMNS. +* DTRSM T PUT F FOR NO TEST. SAME COLUMNS. +* DSYRK T PUT F FOR NO TEST. SAME COLUMNS. +* DSYR2K T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. +* A Set of Level 3 Basic Linear Algebra Subprograms. +* +* Technical Memorandum No.88 (Revision 1), Mathematics and +* Computer Science Division, Argonne National Laboratory, 9700 +* South Cass Avenue, Argonne, Illinois 60439, US. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 6 ) + DOUBLE PRECISION ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 ) + INTEGER NMAX + PARAMETER ( NMAX = 65 ) + INTEGER NIDMAX, NALMAX, NBEMAX + PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + DOUBLE PRECISION EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANSA, TRANSB + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + DOUBLE PRECISION AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), + $ BB( NMAX*NMAX ), BET( NBEMAX ), + $ BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ G( NMAX ), W( 2*NMAX ) + INTEGER IDIM( NIDMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + DOUBLE PRECISION DDIFF + LOGICAL LDE + EXTERNAL DDIFF, LDE +* .. External Subroutines .. + EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, DCHKE, DMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'DGEMM ', 'DSYMM ', 'DTRMM ', 'DTRSM ', + $ 'DSYRK ', 'DSYR2K'/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 220 + END IF + 10 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9995 ) + WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9984 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 20 I = 1, NSUBS + LTEST( I ) = .FALSE. + 20 CONTINUE + 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT + DO 40 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 50 + 40 CONTINUE + WRITE( NOUT, FMT = 9990 )SNAMET + STOP + 50 LTEST( I ) = LTESTT + GO TO 30 +* + 60 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = ONE + 70 CONTINUE + IF( DDIFF( ONE + EPS, ONE ).EQ.ZERO ) + $ GO TO 80 + EPS = HALF*EPS + GO TO 70 + 80 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of DMMCH using exact data. +* + N = MIN( 32, NMAX ) + DO 100 J = 1, N + DO 90 I = 1, N + AB( I, J ) = MAX( I - J + 1, 0 ) + 90 CONTINUE + AB( J, NMAX + 1 ) = J + AB( 1, NMAX + J ) = J + C( J, 1 ) = ZERO + 100 CONTINUE + DO 110 J = 1, N + CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 110 CONTINUE +* CC holds the exact result. On exit from DMMCH CT holds +* the result computed by DMMCH. + TRANSA = 'N' + TRANSB = 'N' + CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'T' + CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + DO 120 J = 1, N + AB( J, NMAX + 1 ) = N - J + 1 + AB( 1, NMAX + J ) = N - J + 1 + 120 CONTINUE + DO 130 J = 1, N + CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - + $ ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE + TRANSA = 'T' + TRANSB = 'N' + CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'T' + CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LDE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 200 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL DCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM +* Test DGEMM, 01. + 140 CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test DSYMM, 02. + 150 CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test DTRMM, 03, DTRSM, 04. + 160 CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, + $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C ) + GO TO 190 +* Test DSYRK, 05. + 170 CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test DSYR2K, 06. + 180 CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) + GO TO 190 +* + 190 IF( FATAL.AND.SFATAL ) + $ GO TO 210 + END IF + 200 CONTINUE + WRITE( NOUT, FMT = 9986 ) + GO TO 230 +* + 210 CONTINUE + WRITE( NOUT, FMT = 9985 ) + GO TO 230 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9991 ) +* + 230 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 3 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9994 FORMAT( ' FOR N ', 9I6 ) + 9993 FORMAT( ' FOR ALPHA ', 7F6.1 ) + 9992 FORMAT( ' FOR BETA ', 7F6.1 ) + 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9990 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9989 FORMAT( ' ERROR IN DMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' DMMCH WAS CALLED WITH TRANSA = ', A1, + $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', + $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', + $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', + $ '*******' ) + 9988 FORMAT( A6, L2 ) + 9987 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9986 FORMAT( /' END OF TESTS' ) + 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of DBLAT3. +* + END + SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests DGEMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX + INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, + $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, + $ MA, MB, MS, N, NA, NARGS, NB, NC, NS + LOGICAL NULL, RESET, SAME, TRANA, TRANB + CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DGEMM, DMAKE, DMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. +* + NARGS = 13 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 110 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICA = 1, 3 + TRANSA = ICH( ICA: ICA ) + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' +* + IF( TRANA )THEN + MA = K + NA = M + ELSE + MA = M + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICB = 1, 3 + TRANSB = ICH( ICB: ICB ) + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* + IF( TRANB )THEN + MB = N + NB = K + ELSE + MB = K + NB = N + END IF +* Set LDB to 1 more than minimum value if room. + LDB = MB + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 70 + LBB = LDB*NB +* +* Generate the matrix B. +* + CALL DMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, + $ LDB, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX, + $ CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANAS = TRANSA + TRANBS = TRANSB + MS = M + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB, + $ BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL DGEMM( TRANSA, TRANSB, M, N, K, ALPHA, + $ AA, LDA, BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANSA.EQ.TRANAS + ISAME( 2 ) = TRANSB.EQ.TRANBS + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LDE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LDE( BS, BB, LBB ) + ISAME( 10 ) = LDBS.EQ.LDB + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LDE( CS, CC, LCC ) + ELSE + ISAME( 12 ) = LDERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 13 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL DMMCH( TRANSA, TRANSB, M, N, K, + $ ALPHA, A, NMAX, B, NMAX, BETA, + $ C, NMAX, CT, G, CC, LDC, EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K, + $ ALPHA, LDA, LDB, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',''', A1, ''',', + $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ', + $ 'C,', I3, ').' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK1. +* + END + SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests DSYMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX + INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, + $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, + $ NARGS, NC, NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 SIDE, SIDES, UPLO, UPLOS + CHARACTER*2 ICHS, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMMCH, DSYMM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHS/'LR'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 90 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 90 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 90 + LBB = LDB*N +* +* Generate the matrix B. +* + CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, + $ ZERO ) +* + DO 80 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' +* + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* +* Generate the symmetric matrix A. +* + CALL DMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, SIDE, + $ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL DSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 110 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LDE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LDE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LDE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LDERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 110 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL DMMCH( 'N', 'N', M, N, M, ALPHA, A, + $ NMAX, B, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL DMMCH( 'N', 'N', M, N, N, ALPHA, B, + $ NMAX, A, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 120 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA, + $ LDB, BETA, LDC +* + 120 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK2. +* + END + SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, + $ B, BB, BS, CT, G, C ) +* +* Tests DTRMM and DTRSM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX + INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, + $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, + $ NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, + $ UPLOS + CHARACTER*2 ICHD, ICHS, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMMCH, DTRMM, DTRSM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ +* .. Executable Statements .. +* + NARGS = 11 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* Set up zero matrix for DMMCH. + DO 20 J = 1, NMAX + DO 10 I = 1, NMAX + C( I, J ) = ZERO + 10 CONTINUE + 20 CONTINUE +* + DO 140 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 130 + LBB = LDB*N + NULL = M.LE.0.OR.N.LE.0 +* + DO 120 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 130 + LAA = LDA*NA +* + DO 110 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 100 ICT = 1, 3 + TRANSA = ICHT( ICT: ICT ) +* + DO 90 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + CALL DMAKE( 'TR', UPLO, DIAG, NA, NA, A, + $ NMAX, AA, LDA, RESET, ZERO ) +* +* Generate the matrix B. +* + CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX, + $ BB, LDB, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + TRANAS = TRANSA + DIAGS = DIAG + MS = M + NS = N + ALS = ALPHA + DO 30 I = 1, LAA + AS( I ) = AA( I ) + 30 CONTINUE + LDAS = LDA + DO 40 I = 1, LBB + BS( I ) = BB( I ) + 40 CONTINUE + LDBS = LDB +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL DTRMM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL DTRSM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = TRANAS.EQ.TRANSA + ISAME( 4 ) = DIAGS.EQ.DIAG + ISAME( 5 ) = MS.EQ.M + ISAME( 6 ) = NS.EQ.N + ISAME( 7 ) = ALS.EQ.ALPHA + ISAME( 8 ) = LDE( AS, AA, LAA ) + ISAME( 9 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 10 ) = LDE( BS, BB, LBB ) + ELSE + ISAME( 10 ) = LDERES( 'GE', ' ', M, N, BS, + $ BB, LDB ) + END IF + ISAME( 11 ) = LDBS.EQ.LDB +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 50 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 50 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MM' )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL DMMCH( TRANSA, 'N', M, N, M, + $ ALPHA, A, NMAX, B, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL DMMCH( 'N', TRANSA, M, N, N, + $ ALPHA, B, NMAX, A, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN +* +* Compute approximation to original +* matrix. +* + DO 70 J = 1, N + DO 60 I = 1, M + C( I, J ) = BB( I + ( J - 1 )* + $ LDB ) + BB( I + ( J - 1 )*LDB ) = ALPHA* + $ B( I, J ) + 60 CONTINUE + 70 CONTINUE +* + IF( LEFT )THEN + CALL DMMCH( TRANSA, 'N', M, N, M, + $ ONE, A, NMAX, C, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + ELSE + CALL DMMCH( 'N', TRANSA, M, N, N, + $ ONE, C, NMAX, A, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + END IF + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 150 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, LDA, LDB +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 4( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ') .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK3. +* + END + SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests DSYRK. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, + $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, + $ NARGS, NC, NS + LOGICAL NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMMCH, DSYRK +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NTC'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 10 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + BETS = BETA + DO 20 I = 1, LCC + CS( I ) = CC( I ) + 20 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL DSYRK( UPLO, TRANS, N, K, ALPHA, AA, LDA, + $ BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LDE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = BETS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LDE( CS, CC, LCC ) + ELSE + ISAME( 9 ) = LDERES( 'SY', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 10 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + JC = 1 + DO 40 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + CALL DMMCH( 'T', 'N', LJ, 1, K, ALPHA, + $ A( 1, JJ ), NMAX, + $ A( 1, J ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL DMMCH( 'N', 'T', LJ, 1, K, ALPHA, + $ A( JJ, 1 ), NMAX, + $ A( J, 1 ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + 40 CONTINUE + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK4. +* + END + SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) +* +* Tests DSYR2K. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + DOUBLE PRECISION AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), + $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), + $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ G( NMAX ), W( 2*NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, + $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, + $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS + LOGICAL NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LDE, LDERES + EXTERNAL LDE, LDERES +* .. External Subroutines .. + EXTERNAL DMAKE, DMMCH, DSYR2K +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NTC'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 130 + LCC = LDC*N + NULL = N.LE.0 +* + DO 120 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 110 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*NA +* +* Generate the matrix A. +* + IF( TRAN )THEN + CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, + $ LDA, RESET, ZERO ) + ELSE + CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, + $ RESET, ZERO ) + END IF +* +* Generate the matrix B. +* + LDB = LDA + LBB = LAA + IF( TRAN )THEN + CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), + $ 2*NMAX, BB, LDB, RESET, ZERO ) + ELSE + CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), + $ NMAX, BB, LDB, RESET, ZERO ) + END IF +* + DO 100 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 90 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 80 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BETS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL DSYR2K( UPLO, TRANS, N, K, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LDE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LDE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BETS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LDE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LDERES( 'SY', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + JJAB = 1 + JC = 1 + DO 70 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + DO 50 I = 1, K + W( I ) = AB( ( J - 1 )*2*NMAX + K + + $ I ) + W( K + I ) = AB( ( J - 1 )*2*NMAX + + $ I ) + 50 CONTINUE + CALL DMMCH( 'T', 'N', LJ, 1, 2*K, + $ ALPHA, AB( JJAB ), 2*NMAX, + $ W, 2*NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + DO 60 I = 1, K + W( I ) = AB( ( K + I - 1 )*NMAX + + $ J ) + W( K + I ) = AB( ( I - 1 )*NMAX + + $ J ) + 60 CONTINUE + CALL DMMCH( 'N', 'N', LJ, 1, 2*K, + $ ALPHA, AB( JJ ), NMAX, W, + $ 2*NMAX, BETA, C( JJ, J ), + $ NMAX, CT, G, CC( JC ), LDC, + $ EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + IF( TRAN ) + $ JJAB = JJAB + 2*NMAX + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 140 + 70 CONTINUE + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, BETA, LDC +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of DCHK5. +* + END + SUBROUTINE DCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 3 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, BETA, A, B and C should not need to be defined. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + DOUBLE PRECISION ALPHA, BETA +* .. Local Arrays .. + DOUBLE PRECISION A( 2, 1 ), B( 2, 1 ), C( 2, 1 ) +* .. External Subroutines .. + EXTERNAL CHKXER, DGEMM, DSYMM, DSYR2K, DSYRK, DTRMM, + $ DTRSM +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60 )ISNUM + 10 INFOT = 1 + CALL DGEMM( '/', 'N', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL DGEMM( '/', 'T', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DGEMM( 'N', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DGEMM( 'T', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGEMM( 'N', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGEMM( 'N', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGEMM( 'T', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DGEMM( 'T', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DGEMM( 'N', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DGEMM( 'N', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DGEMM( 'T', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DGEMM( 'T', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGEMM( 'N', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGEMM( 'N', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGEMM( 'T', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DGEMM( 'T', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL DGEMM( 'T', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DGEMM( 'N', 'N', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DGEMM( 'N', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DGEMM( 'T', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL DGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL DGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL DGEMM( 'T', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL DGEMM( 'T', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 20 INFOT = 1 + CALL DSYMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 30 INFOT = 1 + CALL DTRMM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTRMM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTRMM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTRMM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRMM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRMM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRMM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRMM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 40 INFOT = 1 + CALL DTRSM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DTRSM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DTRSM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DTRSM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL DTRSM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL DTRSM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DTRSM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL DTRSM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 50 INFOT = 1 + CALL DSYRK( '/', 'N', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYRK( 'U', '/', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYRK( 'U', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYRK( 'U', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYRK( 'L', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYRK( 'L', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYRK( 'U', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYRK( 'U', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYRK( 'L', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYRK( 'L', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYRK( 'U', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYRK( 'U', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYRK( 'L', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYRK( 'L', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYRK( 'U', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYRK( 'U', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYRK( 'L', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYRK( 'L', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 60 INFOT = 1 + CALL DSYR2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL DSYR2K( 'U', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYR2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYR2K( 'U', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYR2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL DSYR2K( 'L', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYR2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYR2K( 'U', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYR2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL DSYR2K( 'L', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR2K( 'U', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYR2K( 'L', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYR2K( 'U', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL DSYR2K( 'L', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYR2K( 'U', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL DSYR2K( 'L', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 70 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of DCHKE. +* + END + SUBROUTINE DMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, + $ TRANSL ) +* +* Generates values for an M by N matrix A. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'SY' or 'TR'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) + DOUBLE PRECISION ROGUE + PARAMETER ( ROGUE = -1.0D10 ) +* .. Scalar Arguments .. + DOUBLE PRECISION TRANSL + INTEGER LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + DOUBLE PRECISION A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + DOUBLE PRECISION DBEG + EXTERNAL DBEG +* .. Executable Statements .. + GEN = TYPE.EQ.'GE' + SYM = TYPE.EQ.'SY' + TRI = TYPE.EQ.'TR' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + A( I, J ) = DBEG( RESET ) + TRANSL + IF( I.NE.J )THEN +* Set some elements to zero + IF( N.GT.3.AND.J.EQ.N/2 ) + $ A( I, J ) = ZERO + IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 90 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 60 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 70 CONTINUE + DO 80 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + END IF + RETURN +* +* End of DMAKE. +* + END + SUBROUTINE DMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, + $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, + $ NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION ALPHA, BETA, EPS, ERR + INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANSA, TRANSB +* .. Array Arguments .. + DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * ), + $ CC( LDCC, * ), CT( * ), G( * ) +* .. Local Scalars .. + DOUBLE PRECISION ERRI + INTEGER I, J, K + LOGICAL TRANA, TRANB +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, SQRT +* .. Executable Statements .. + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* +* Compute expected result, one column at a time, in CT using data +* in A, B and C. +* Compute gauges in G. +* + DO 120 J = 1, N +* + DO 10 I = 1, M + CT( I ) = ZERO + G( I ) = ZERO + 10 CONTINUE + IF( .NOT.TRANA.AND..NOT.TRANB )THEN + DO 30 K = 1, KK + DO 20 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( K, J ) + G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) ) + 20 CONTINUE + 30 CONTINUE + ELSE IF( TRANA.AND..NOT.TRANB )THEN + DO 50 K = 1, KK + DO 40 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( K, J ) + G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) ) + 40 CONTINUE + 50 CONTINUE + ELSE IF( .NOT.TRANA.AND.TRANB )THEN + DO 70 K = 1, KK + DO 60 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( J, K ) + G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) ) + 60 CONTINUE + 70 CONTINUE + ELSE IF( TRANA.AND.TRANB )THEN + DO 90 K = 1, KK + DO 80 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( J, K ) + G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) ) + 80 CONTINUE + 90 CONTINUE + END IF + DO 100 I = 1, M + CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) + G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) ) + 100 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 110 I = 1, M + ERRI = ABS( CT( I ) - CC( I, J ) )/EPS + IF( G( I ).NE.ZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.ONE ) + $ GO TO 130 + 110 CONTINUE +* + 120 CONTINUE +* +* If the loop completes, all results are at least half accurate. + GO TO 150 +* +* Report fatal error. +* + 130 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 140 I = 1, M + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) + ELSE + WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) + END IF + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9997 )J +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', + $ 'TED RESULT' ) + 9998 FORMAT( 1X, I7, 2G18.6 ) + 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) +* +* End of DMMCH. +* + END + LOGICAL FUNCTION LDE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + DOUBLE PRECISION RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LDE = .TRUE. + GO TO 30 + 20 CONTINUE + LDE = .FALSE. + 30 RETURN +* +* End of LDE. +* + END + LOGICAL FUNCTION LDERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE' or 'SY'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + DOUBLE PRECISION AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LDERES = .TRUE. + GO TO 80 + 70 CONTINUE + LDERES = .FALSE. + 80 RETURN +* +* End of LDERES. +* + END + DOUBLE PRECISION FUNCTION DBEG( RESET ) +* +* Generates random numbers uniformly distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, MI +* .. Save statement .. + SAVE I, IC, MI +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + I = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I is bounded between 1 and 999. +* If initial I = 1,2,3,6,7 or 9, the period will be 50. +* If initial I = 4 or 8, the period will be 25. +* If initial I = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I in 6. +* + IC = IC + 1 + 10 I = I*MI + I = I - 1000*( I/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + DBEG = ( I - 500 )/1001.0D0 + RETURN +* +* End of DBEG. +* + END + DOUBLE PRECISION FUNCTION DDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + DOUBLE PRECISION X, Y +* .. Executable Statements .. + DDIFF = X - Y + RETURN +* +* End of DDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 3 BLAS +* routines. +* +* XERBLA is an error handler for the Level 3 BLAS routines. +* +* It is called by the Level 3 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/runblastest.sh b/eigen/blas/testing/runblastest.sh new file mode 100644 index 0000000..4ffaf01 --- /dev/null +++ b/eigen/blas/testing/runblastest.sh @@ -0,0 +1,45 @@ +#!/bin/bash + +black='\E[30m' +red='\E[31m' +green='\E[32m' +yellow='\E[33m' +blue='\E[34m' +magenta='\E[35m' +cyan='\E[36m' +white='\E[37m' + +if [ -f $2 ]; then + data=$2 + if [ -f $1.summ ]; then rm $1.summ; fi + if [ -f $1.snap ]; then rm $1.snap; fi +else + data=$1 +fi + +if ! ./$1 < $data > /dev/null 2> .runtest.log ; then + echo -e $red Test $1 failed: $black + echo -e $blue + cat .runtest.log + echo -e $black + exit 1 +else + if [ -f $1.summ ]; then + if [ `grep "FATAL ERROR" $1.summ | wc -l` -gt 0 ]; then + echo -e $red "Test $1 failed (FATAL ERROR, read the file $1.summ for details)" $black + echo -e $blue + cat .runtest.log + echo -e $black + exit 1; + fi + + if [ `grep "FAILED THE TESTS OF ERROR-EXITS" $1.summ | wc -l` -gt 0 ]; then + echo -e $red "Test $1 failed (FAILED THE TESTS OF ERROR-EXITS, read the file $1.summ for details)" $black + echo -e $blue + cat .runtest.log + echo -e $black + exit 1; + fi + fi + echo -e $green Test $1 passed$black +fi diff --git a/eigen/blas/testing/sblat1.f b/eigen/blas/testing/sblat1.f new file mode 100644 index 0000000..6657c26 --- /dev/null +++ b/eigen/blas/testing/sblat1.f @@ -0,0 +1,1021 @@ +*> \brief \b SBLAT1 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* PROGRAM SBLAT1 +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> Test program for the REAL Level 1 BLAS. +*> +*> Based upon the original BLAS test routine together with: +*> F06EAF Example Program Text +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date April 2012 +* +*> \ingroup single_blas_testing +* +* ===================================================================== + PROGRAM SBLAT1 +* +* -- Reference BLAS test routine (version 3.4.1) -- +* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* April 2012 +* +* ===================================================================== +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL SFAC + INTEGER IC +* .. External Subroutines .. + EXTERNAL CHECK0, CHECK1, CHECK2, CHECK3, HEADER +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA SFAC/9.765625E-4/ +* .. Executable Statements .. + WRITE (NOUT,99999) + DO 20 IC = 1, 13 + ICASE = IC + CALL HEADER +* +* .. Initialize PASS, INCX, and INCY for a new case. .. +* .. the value 9999 for INCX or INCY will appear in the .. +* .. detailed output, if any, for cases that do not involve .. +* .. these parameters .. +* + PASS = .TRUE. + INCX = 9999 + INCY = 9999 + IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN + CALL CHECK0(SFAC) + ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR. + + ICASE.EQ.10) THEN + CALL CHECK1(SFAC) + ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR. + + ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN + CALL CHECK2(SFAC) + ELSE IF (ICASE.EQ.4) THEN + CALL CHECK3(SFAC) + END IF +* -- Print + IF (PASS) WRITE (NOUT,99998) + 20 CONTINUE + STOP +* +99999 FORMAT (' Real BLAS Test Program Results',/1X) +99998 FORMAT (' ----- PASS -----') + END + SUBROUTINE HEADER +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Arrays .. + CHARACTER*6 L(13) +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA L(1)/' SDOT '/ + DATA L(2)/'SAXPY '/ + DATA L(3)/'SROTG '/ + DATA L(4)/' SROT '/ + DATA L(5)/'SCOPY '/ + DATA L(6)/'SSWAP '/ + DATA L(7)/'SNRM2 '/ + DATA L(8)/'SASUM '/ + DATA L(9)/'SSCAL '/ + DATA L(10)/'ISAMAX'/ + DATA L(11)/'SROTMG'/ + DATA L(12)/'SROTM '/ + DATA L(13)/'SDSDOT'/ +* .. Executable Statements .. + WRITE (NOUT,99999) ICASE, L(ICASE) + RETURN +* +99999 FORMAT (/' Test of subprogram number',I3,12X,A6) + END + SUBROUTINE CHECK0(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL D12, SA, SB, SC, SS + INTEGER I, K +* .. Local Arrays .. + REAL DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8), + + DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9) +* .. External Subroutines .. + EXTERNAL SROTG, SROTMG, STEST1 +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA DA1/0.3E0, 0.4E0, -0.3E0, -0.4E0, -0.3E0, 0.0E0, + + 0.0E0, 1.0E0/ + DATA DB1/0.4E0, 0.3E0, 0.4E0, 0.3E0, -0.4E0, 0.0E0, + + 1.0E0, 0.0E0/ + DATA DC1/0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.6E0, 1.0E0, + + 0.0E0, 1.0E0/ + DATA DS1/0.8E0, 0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.0E0, + + 1.0E0, 0.0E0/ + DATA DATRUE/0.5E0, 0.5E0, 0.5E0, -0.5E0, -0.5E0, + + 0.0E0, 1.0E0, 1.0E0/ + DATA DBTRUE/0.0E0, 0.6E0, 0.0E0, -0.6E0, 0.0E0, + + 0.0E0, 1.0E0, 0.0E0/ +* INPUT FOR MODIFIED GIVENS + DATA DAB/ .1E0,.3E0,1.2E0,.2E0, + A .7E0, .2E0, .6E0, 4.2E0, + B 0.E0,0.E0,0.E0,0.E0, + C 4.E0, -1.E0, 2.E0, 4.E0, + D 6.E-10, 2.E-2, 1.E5, 10.E0, + E 4.E10, 2.E-2, 1.E-5, 10.E0, + F 2.E-10, 4.E-2, 1.E5, 10.E0, + G 2.E10, 4.E-2, 1.E-5, 10.E0, + H 4.E0, -2.E0, 8.E0, 4.E0 / +* TRUE RESULTS FOR MODIFIED GIVENS + DATA DTRUE/0.E0,0.E0, 1.3E0, .2E0, 0.E0,0.E0,0.E0, .5E0, 0.E0, + A 0.E0,0.E0, 4.5E0, 4.2E0, 1.E0, .5E0, 0.E0,0.E0,0.E0, + B 0.E0,0.E0,0.E0,0.E0, -2.E0, 0.E0,0.E0,0.E0,0.E0, + C 0.E0,0.E0,0.E0, 4.E0, -1.E0, 0.E0,0.E0,0.E0,0.E0, + D 0.E0, 15.E-3, 0.E0, 10.E0, -1.E0, 0.E0, -1.E-4, + E 0.E0, 1.E0, + F 0.E0,0.E0, 6144.E-5, 10.E0, -1.E0, 4096.E0, -1.E6, + G 0.E0, 1.E0, + H 0.E0,0.E0,15.E0,10.E0,-1.E0, 5.E-5, 0.E0,1.E0,0.E0, + I 0.E0,0.E0, 15.E0, 10.E0, -1. E0, 5.E5, -4096.E0, + J 1.E0, 4096.E-6, + K 0.E0,0.E0, 7.E0, 4.E0, 0.E0,0.E0, -.5E0, -.25E0, 0.E0/ +* 4096 = 2 ** 12 + DATA D12 /4096.E0/ + DTRUE(1,1) = 12.E0 / 130.E0 + DTRUE(2,1) = 36.E0 / 130.E0 + DTRUE(7,1) = -1.E0 / 6.E0 + DTRUE(1,2) = 14.E0 / 75.E0 + DTRUE(2,2) = 49.E0 / 75.E0 + DTRUE(9,2) = 1.E0 / 7.E0 + DTRUE(1,5) = 45.E-11 * (D12 * D12) + DTRUE(3,5) = 4.E5 / (3.E0 * D12) + DTRUE(6,5) = 1.E0 / D12 + DTRUE(8,5) = 1.E4 / (3.E0 * D12) + DTRUE(1,6) = 4.E10 / (1.5E0 * D12 * D12) + DTRUE(2,6) = 2.E-2 / 1.5E0 + DTRUE(8,6) = 5.E-7 * D12 + DTRUE(1,7) = 4.E0 / 150.E0 + DTRUE(2,7) = (2.E-10 / 1.5E0) * (D12 * D12) + DTRUE(7,7) = -DTRUE(6,5) + DTRUE(9,7) = 1.E4 / D12 + DTRUE(1,8) = DTRUE(1,7) + DTRUE(2,8) = 2.E10 / (1.5E0 * D12 * D12) + DTRUE(1,9) = 32.E0 / 7.E0 + DTRUE(2,9) = -16.E0 / 7.E0 +* .. Executable Statements .. +* +* Compute true values which cannot be prestored +* in decimal notation +* + DBTRUE(1) = 1.0E0/0.6E0 + DBTRUE(3) = -1.0E0/0.6E0 + DBTRUE(5) = 1.0E0/0.6E0 +* + DO 20 K = 1, 8 +* .. Set N=K for identification in output if any .. + N = K + IF (ICASE.EQ.3) THEN +* .. SROTG .. + IF (K.GT.8) GO TO 40 + SA = DA1(K) + SB = DB1(K) + CALL SROTG(SA,SB,SC,SS) + CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC) + CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC) + CALL STEST1(SC,DC1(K),DC1(K),SFAC) + CALL STEST1(SS,DS1(K),DS1(K),SFAC) + ELSEIF (ICASE.EQ.11) THEN +* .. SROTMG .. + DO I=1,4 + DTEMP(I)= DAB(I,K) + DTEMP(I+4) = 0.0 + END DO + DTEMP(9) = 0.0 + CALL SROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5)) + CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK0' + STOP + END IF + 20 CONTINUE + 40 RETURN + END + SUBROUTINE CHECK1(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER I, LEN, NP1 +* .. Local Arrays .. + REAL DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2), + + SA(10), STEMP(1), STRUE(8), SX(8) + INTEGER ITRUE2(5) +* .. External Functions .. + REAL SASUM, SNRM2 + INTEGER ISAMAX + EXTERNAL SASUM, SNRM2, ISAMAX +* .. External Subroutines .. + EXTERNAL ITEST1, SSCAL, STEST, STEST1 +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA SA/0.3E0, -1.0E0, 0.0E0, 1.0E0, 0.3E0, 0.3E0, + + 0.3E0, 0.3E0, 0.3E0, 0.3E0/ + DATA DV/0.1E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, + + 2.0E0, 2.0E0, 0.3E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0, + + 3.0E0, 3.0E0, 3.0E0, 0.3E0, -0.4E0, 4.0E0, + + 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 0.2E0, + + -0.6E0, 0.3E0, 5.0E0, 5.0E0, 5.0E0, 5.0E0, + + 5.0E0, 0.1E0, -0.3E0, 0.5E0, -0.1E0, 6.0E0, + + 6.0E0, 6.0E0, 6.0E0, 0.1E0, 8.0E0, 8.0E0, 8.0E0, + + 8.0E0, 8.0E0, 8.0E0, 8.0E0, 0.3E0, 9.0E0, 9.0E0, + + 9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 0.3E0, 2.0E0, + + -0.4E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, + + 0.2E0, 3.0E0, -0.6E0, 5.0E0, 0.3E0, 2.0E0, + + 2.0E0, 2.0E0, 0.1E0, 4.0E0, -0.3E0, 6.0E0, + + -0.5E0, 7.0E0, -0.1E0, 3.0E0/ + DATA DTRUE1/0.0E0, 0.3E0, 0.5E0, 0.7E0, 0.6E0/ + DATA DTRUE3/0.0E0, 0.3E0, 0.7E0, 1.1E0, 1.0E0/ + DATA DTRUE5/0.10E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, + + 2.0E0, 2.0E0, 2.0E0, -0.3E0, 3.0E0, 3.0E0, + + 3.0E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0, 0.0E0, 0.0E0, + + 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, + + 0.20E0, -0.60E0, 0.30E0, 5.0E0, 5.0E0, 5.0E0, + + 5.0E0, 5.0E0, 0.03E0, -0.09E0, 0.15E0, -0.03E0, + + 6.0E0, 6.0E0, 6.0E0, 6.0E0, 0.10E0, 8.0E0, + + 8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0, + + 0.09E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, + + 9.0E0, 9.0E0, 0.09E0, 2.0E0, -0.12E0, 2.0E0, + + 2.0E0, 2.0E0, 2.0E0, 2.0E0, 0.06E0, 3.0E0, + + -0.18E0, 5.0E0, 0.09E0, 2.0E0, 2.0E0, 2.0E0, + + 0.03E0, 4.0E0, -0.09E0, 6.0E0, -0.15E0, 7.0E0, + + -0.03E0, 3.0E0/ + DATA ITRUE2/0, 1, 2, 2, 3/ +* .. Executable Statements .. + DO 80 INCX = 1, 2 + DO 60 NP1 = 1, 5 + N = NP1 - 1 + LEN = 2*MAX(N,1) +* .. Set vector arguments .. + DO 20 I = 1, LEN + SX(I) = DV(I,NP1,INCX) + 20 CONTINUE +* + IF (ICASE.EQ.7) THEN +* .. SNRM2 .. + STEMP(1) = DTRUE1(NP1) + CALL STEST1(SNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC) + ELSE IF (ICASE.EQ.8) THEN +* .. SASUM .. + STEMP(1) = DTRUE3(NP1) + CALL STEST1(SASUM(N,SX,INCX),STEMP(1),STEMP,SFAC) + ELSE IF (ICASE.EQ.9) THEN +* .. SSCAL .. + CALL SSCAL(N,SA((INCX-1)*5+NP1),SX,INCX) + DO 40 I = 1, LEN + STRUE(I) = DTRUE5(I,NP1,INCX) + 40 CONTINUE + CALL STEST(LEN,SX,STRUE,STRUE,SFAC) + ELSE IF (ICASE.EQ.10) THEN +* .. ISAMAX .. + CALL ITEST1(ISAMAX(N,SX,INCX),ITRUE2(NP1)) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK1' + STOP + END IF + 60 CONTINUE + 80 CONTINUE + RETURN + END + SUBROUTINE CHECK2(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL SA + INTEGER I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY, + $ MX, MY +* .. Local Arrays .. + REAL DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4), + $ DT8(7,4,4), DX1(7), + $ DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE3(4), + $ SSIZE(7), STX(7), STY(7), SX(7), SY(7), + $ DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4), + $ DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4), + $ DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4), + $ DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5), + $ ST7B(4,4) + INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4) +* .. External Functions .. + REAL SDOT, SDSDOT + EXTERNAL SDOT, SDSDOT +* .. External Subroutines .. + EXTERNAL SAXPY, SCOPY, SROTM, SSWAP, STEST, STEST1 +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5), + A DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)), + B (DT19X(1,1,13),DT19XD(1,1,1)) + EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5), + A DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)), + B (DT19Y(1,1,13),DT19YD(1,1,1)) + + DATA SA/0.3E0/ + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0, + + -0.4E0/ + DATA DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0, + + 0.8E0/ + DATA DT7/0.0E0, 0.30E0, 0.21E0, 0.62E0, 0.0E0, + + 0.30E0, -0.07E0, 0.85E0, 0.0E0, 0.30E0, -0.79E0, + + -0.74E0, 0.0E0, 0.30E0, 0.33E0, 1.27E0/ + DATA ST7B/ .1, .4, .31, .72, .1, .4, .03, .95, + + .1, .4, -.69, -.64, .1, .4, .43, 1.37/ + DATA DT8/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.15E0, + + 0.94E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.68E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.35E0, -0.9E0, 0.48E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.38E0, -0.9E0, 0.57E0, 0.7E0, -0.75E0, + + 0.2E0, 0.98E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.68E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.35E0, -0.72E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.38E0, + + -0.63E0, 0.15E0, 0.88E0, 0.0E0, 0.0E0, 0.0E0, + + 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.7E0, + + -0.75E0, 0.2E0, 1.04E0/ + DATA DT10X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.5E0, -0.9E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.5E0, -0.9E0, 0.3E0, 0.7E0, + + 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.5E0, 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+ H .5E0, -.9E0, .3E0, 0.E0,0.E0,0.E0,0.E0, + I 4.0E0, -.9E0, -.3E0, 0.E0,0.E0,0.E0,0.E0, + J -.5E0, -.9E0, 1.5E0, 0.E0,0.E0,0.E0,0.E0, + K -1.5E0, -.9E0, -1.8E0, 0.E0,0.E0,0.E0,0.E0, + L .5E0, -.9E0, .3E0, .7E0, -.6E0, .2E0, .8E0, + M 3.7E0, -.9E0, -1.2E0, .7E0, -1.5E0, .2E0, 2.2E0, + N -.3E0, -.9E0, 2.1E0, .7E0, -1.6E0, .2E0, 2.0E0, + O -1.6E0, -.9E0, -2.1E0, .7E0, 2.9E0, .2E0, -3.8E0 / +* + DATA DT19YC/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + H .5E0, -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0, + I 4.0E0, -6.3E0, 0.E0,0.E0,0.E0,0.E0,0.E0, + J -.5E0, .3E0, 0.E0,0.E0,0.E0,0.E0,0.E0, + K -1.5E0, 3.0E0, 0.E0,0.E0,0.E0,0.E0,0.E0, + L .5E0, -.9E0, .3E0, .7E0, 0.E0,0.E0,0.E0, + M 3.7E0, -7.2E0, 3.0E0, 1.7E0, 0.E0,0.E0,0.E0, + N -.3E0, .9E0, -.7E0, 1.9E0, 0.E0,0.E0,0.E0, + O -1.6E0, 2.7E0, -.7E0, -3.4E0, 0.E0,0.E0,0.E0/ +* + DATA DT19YD/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0, + H .5E0, -.9E0, .3E0, 0.E0,0.E0,0.E0,0.E0, + I .7E0, -.9E0, 1.2E0, 0.E0,0.E0,0.E0,0.E0, + J 1.7E0, -.9E0, .5E0, 0.E0,0.E0,0.E0,0.E0, + K -2.6E0, -.9E0, -1.3E0, 0.E0,0.E0,0.E0,0.E0, + L .5E0, -.9E0, .3E0, .7E0, -.6E0, .2E0, .8E0, + M .7E0, -.9E0, 1.2E0, .7E0, -1.5E0, .2E0, 1.6E0, + N 1.7E0, -.9E0, .5E0, .7E0, -1.6E0, .2E0, 2.4E0, + O -2.6E0, -.9E0, -1.3E0, .7E0, 2.9E0, .2E0, -4.0E0 / +* +* .. Executable Statements .. +* + DO 120 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 100 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* .. Initialize all argument arrays .. + DO 20 I = 1, 7 + SX(I) = DX1(I) + SY(I) = DY1(I) + 20 CONTINUE +* + IF (ICASE.EQ.1) THEN +* .. SDOT .. + CALL STEST1(SDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN) + + ,SFAC) + ELSE IF (ICASE.EQ.2) THEN +* .. SAXPY .. + CALL SAXPY(N,SA,SX,INCX,SY,INCY) + DO 40 J = 1, LENY + STY(J) = DT8(J,KN,KI) + 40 CONTINUE + CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC) + ELSE IF (ICASE.EQ.5) THEN +* .. SCOPY .. + DO 60 I = 1, 7 + STY(I) = DT10Y(I,KN,KI) + 60 CONTINUE + CALL SCOPY(N,SX,INCX,SY,INCY) + CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0) + ELSE IF (ICASE.EQ.6) THEN +* .. SSWAP .. + CALL SSWAP(N,SX,INCX,SY,INCY) + DO 80 I = 1, 7 + STX(I) = DT10X(I,KN,KI) + STY(I) = DT10Y(I,KN,KI) + 80 CONTINUE + CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0E0) + CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0) + ELSEIF (ICASE.EQ.12) THEN +* .. SROTM .. + KNI=KN+4*(KI-1) + DO KPAR=1,4 + DO I=1,7 + SX(I) = DX1(I) + SY(I) = DY1(I) + STX(I)= DT19X(I,KPAR,KNI) + STY(I)= DT19Y(I,KPAR,KNI) + END DO +* + DO I=1,5 + DTEMP(I) = DPAR(I,KPAR) + END DO +* + DO I=1,LENX + SSIZE(I)=STX(I) + END DO +* SEE REMARK ABOVE ABOUT DT11X(1,2,7) +* AND DT11X(5,3,8). + IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7)) + $ SSIZE(1) = 2.4E0 + IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8)) + $ SSIZE(5) = 1.8E0 +* + CALL SROTM(N,SX,INCX,SY,INCY,DTEMP) + CALL STEST(LENX,SX,STX,SSIZE,SFAC) + CALL STEST(LENY,SY,STY,STY,SFAC) + END DO + ELSEIF (ICASE.EQ.13) THEN +* .. SDSROT .. + CALL STEST1 (SDSDOT(N,.1,SX,INCX,SY,INCY), + $ ST7B(KN,KI),SSIZE3(KN),SFAC) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK2' + STOP + END IF + 100 CONTINUE + 120 CONTINUE + RETURN + END + SUBROUTINE CHECK3(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + REAL SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL SC, SS + INTEGER I, K, KI, KN, KSIZE, LENX, LENY, MX, MY +* .. Local Arrays .. + REAL COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4), + + DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5), + + MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5), + + MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7), + + SY(7) + INTEGER INCXS(4), INCYS(4), LENS(4,2), MWPINX(11), + + MWPINY(11), MWPN(11), NS(4) +* .. External Subroutines .. + EXTERNAL SROT, STEST +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Data statements .. + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0, + + -0.4E0/ + DATA DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0, + + 0.8E0/ + DATA SC, SS/0.8E0, 0.6E0/ + DATA DT9X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.78E0, -0.46E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.78E0, -0.46E0, -0.22E0, + + 1.06E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.78E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.66E0, 0.1E0, -0.1E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.96E0, 0.1E0, -0.76E0, 0.8E0, 0.90E0, + + -0.3E0, -0.02E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.78E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.06E0, 0.1E0, + + -0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.90E0, + + 0.1E0, -0.22E0, 0.8E0, 0.18E0, -0.3E0, -0.02E0, + + 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.78E0, 0.26E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.78E0, 0.26E0, -0.76E0, 1.12E0, + + 0.0E0, 0.0E0, 0.0E0/ + DATA DT9Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.54E0, + + 0.08E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.04E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0, + + -0.9E0, -0.12E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.64E0, -0.9E0, -0.30E0, 0.7E0, -0.18E0, 0.2E0, + + 0.28E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.7E0, -1.08E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.64E0, -1.26E0, + + 0.54E0, 0.20E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.7E0, + + -0.18E0, 0.2E0, 0.16E0/ + DATA SSIZE2/0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, + + 0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, + + 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, + + 1.17E0, 1.17E0, 1.17E0/ +* .. Executable Statements .. +* + DO 60 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 40 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* + IF (ICASE.EQ.4) THEN +* .. SROT .. + DO 20 I = 1, 7 + SX(I) = DX1(I) + SY(I) = DY1(I) + STX(I) = DT9X(I,KN,KI) + STY(I) = DT9Y(I,KN,KI) + 20 CONTINUE + CALL SROT(N,SX,INCX,SY,INCY,SC,SS) + CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC) + CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK3' + STOP + END IF + 40 CONTINUE + 60 CONTINUE +* + MWPC(1) = 1 + DO 80 I = 2, 11 + MWPC(I) = 0 + 80 CONTINUE + MWPS(1) = 0 + DO 100 I = 2, 6 + MWPS(I) = 1 + 100 CONTINUE + DO 120 I = 7, 11 + MWPS(I) = -1 + 120 CONTINUE + MWPINX(1) = 1 + MWPINX(2) = 1 + MWPINX(3) = 1 + MWPINX(4) = -1 + MWPINX(5) = 1 + MWPINX(6) = -1 + MWPINX(7) = 1 + MWPINX(8) = 1 + MWPINX(9) = -1 + MWPINX(10) = 1 + MWPINX(11) = -1 + MWPINY(1) = 1 + MWPINY(2) = 1 + MWPINY(3) = -1 + MWPINY(4) = -1 + MWPINY(5) = 2 + MWPINY(6) = 1 + MWPINY(7) = 1 + MWPINY(8) = -1 + MWPINY(9) = -1 + MWPINY(10) = 2 + MWPINY(11) = 1 + DO 140 I = 1, 11 + MWPN(I) = 5 + 140 CONTINUE + MWPN(5) = 3 + MWPN(10) = 3 + DO 160 I = 1, 5 + MWPX(I) = I + MWPY(I) = I + MWPTX(1,I) = I + MWPTY(1,I) = I + MWPTX(2,I) = I + MWPTY(2,I) = -I + MWPTX(3,I) = 6 - I + MWPTY(3,I) = I - 6 + MWPTX(4,I) = I + MWPTY(4,I) = -I + MWPTX(6,I) = 6 - I + MWPTY(6,I) = I - 6 + MWPTX(7,I) = -I + MWPTY(7,I) = I + MWPTX(8,I) = I - 6 + MWPTY(8,I) = 6 - I + MWPTX(9,I) = -I + MWPTY(9,I) = I + MWPTX(11,I) = I - 6 + MWPTY(11,I) = 6 - I + 160 CONTINUE + MWPTX(5,1) = 1 + MWPTX(5,2) = 3 + MWPTX(5,3) = 5 + MWPTX(5,4) = 4 + MWPTX(5,5) = 5 + MWPTY(5,1) = -1 + MWPTY(5,2) = 2 + MWPTY(5,3) = -2 + MWPTY(5,4) = 4 + MWPTY(5,5) = -3 + MWPTX(10,1) = -1 + MWPTX(10,2) = -3 + MWPTX(10,3) = -5 + MWPTX(10,4) = 4 + MWPTX(10,5) = 5 + MWPTY(10,1) = 1 + MWPTY(10,2) = 2 + MWPTY(10,3) = 2 + MWPTY(10,4) = 4 + MWPTY(10,5) = 3 + DO 200 I = 1, 11 + INCX = MWPINX(I) + INCY = MWPINY(I) + DO 180 K = 1, 5 + COPYX(K) = MWPX(K) + COPYY(K) = MWPY(K) + MWPSTX(K) = MWPTX(I,K) + MWPSTY(K) = MWPTY(I,K) + 180 CONTINUE + CALL SROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I)) + CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC) + CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC) + 200 CONTINUE + RETURN + END + SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC) +* ********************************* STEST ************************** +* +* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO +* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE +* NEGLIGIBLE. +* +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + REAL ZERO + PARAMETER (NOUT=6, ZERO=0.0E0) +* .. Scalar Arguments .. + REAL SFAC + INTEGER LEN +* .. Array Arguments .. + REAL SCOMP(LEN), SSIZE(LEN), STRUE(LEN) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + REAL SD + INTEGER I +* .. External Functions .. + REAL SDIFF + EXTERNAL SDIFF +* .. Intrinsic Functions .. + INTRINSIC ABS +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Executable Statements .. +* + DO 40 I = 1, LEN + SD = SCOMP(I) - STRUE(I) + IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO)) + + GO TO 40 +* +* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I). +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I), + + STRUE(I), SD, SSIZE(I) + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY I ', + + ' COMP(I) TRUE(I) DIFFERENCE', + + ' SIZE(I)',/1X) +99997 FORMAT (1X,I4,I3,2I5,I3,2E36.8,2E12.4) + END + SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC) +* ************************* STEST1 ***************************** +* +* THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN +* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE +* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT. +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + REAL SCOMP1, SFAC, STRUE1 +* .. Array Arguments .. + REAL SSIZE(*) +* .. Local Arrays .. + REAL SCOMP(1), STRUE(1) +* .. External Subroutines .. + EXTERNAL STEST +* .. Executable Statements .. +* + SCOMP(1) = SCOMP1 + STRUE(1) = STRUE1 + CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC) +* + RETURN + END + REAL FUNCTION SDIFF(SA,SB) +* ********************************* SDIFF ************************** +* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15 +* +* .. Scalar Arguments .. + REAL SA, SB +* .. Executable Statements .. + SDIFF = SA - SB + RETURN + END + SUBROUTINE ITEST1(ICOMP,ITRUE) +* ********************************* ITEST1 ************************* +* +* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR +* EQUALITY. +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + INTEGER ICOMP, ITRUE +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER ID +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, PASS +* .. Executable Statements .. +* + IF (ICOMP.EQ.ITRUE) GO TO 40 +* +* HERE ICOMP IS NOT EQUAL TO ITRUE. +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 ID = ICOMP - ITRUE + WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY ', + + ' COMP TRUE DIFFERENCE', + + /1X) +99997 FORMAT (1X,I4,I3,2I5,2I36,I12) + END diff --git a/eigen/blas/testing/sblat2.dat b/eigen/blas/testing/sblat2.dat new file mode 100644 index 0000000..f537d30 --- /dev/null +++ b/eigen/blas/testing/sblat2.dat @@ -0,0 +1,34 @@ +'sblat2.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'sblat2.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +4 NUMBER OF VALUES OF K +0 1 2 4 VALUES OF K +4 NUMBER OF VALUES OF INCX AND INCY +1 2 -1 -2 VALUES OF INCX AND INCY +3 NUMBER OF VALUES OF ALPHA +0.0 1.0 0.7 VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +0.0 1.0 0.9 VALUES OF BETA +SGEMV T PUT F FOR NO TEST. SAME COLUMNS. +SGBMV T PUT F FOR NO TEST. SAME COLUMNS. +SSYMV T PUT F FOR NO TEST. SAME COLUMNS. +SSBMV T PUT F FOR NO TEST. SAME COLUMNS. +SSPMV T PUT F FOR NO TEST. SAME COLUMNS. +STRMV T PUT F FOR NO TEST. SAME COLUMNS. +STBMV T PUT F FOR NO TEST. SAME COLUMNS. +STPMV T PUT F FOR NO TEST. SAME COLUMNS. +STRSV T PUT F FOR NO TEST. SAME COLUMNS. +STBSV T PUT F FOR NO TEST. SAME COLUMNS. +STPSV T PUT F FOR NO TEST. SAME COLUMNS. +SGER T PUT F FOR NO TEST. SAME COLUMNS. +SSYR T PUT F FOR NO TEST. SAME COLUMNS. +SSPR T PUT F FOR NO TEST. SAME COLUMNS. +SSYR2 T PUT F FOR NO TEST. SAME COLUMNS. +SSPR2 T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/sblat2.f b/eigen/blas/testing/sblat2.f new file mode 100644 index 0000000..057a854 --- /dev/null +++ b/eigen/blas/testing/sblat2.f @@ -0,0 +1,3138 @@ + PROGRAM SBLAT2 +* +* Test program for the REAL Level 2 Blas. +* +* The program must be driven by a short data file. The first 18 records +* of the file are read using list-directed input, the last 16 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 34 lines: +* 'SBLAT2.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'SBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 4 NUMBER OF VALUES OF K +* 0 1 2 4 VALUES OF K +* 4 NUMBER OF VALUES OF INCX AND INCY +* 1 2 -1 -2 VALUES OF INCX AND INCY +* 3 NUMBER OF VALUES OF ALPHA +* 0.0 1.0 0.7 VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* 0.0 1.0 0.9 VALUES OF BETA +* SGEMV T PUT F FOR NO TEST. SAME COLUMNS. +* SGBMV T PUT F FOR NO TEST. SAME COLUMNS. +* SSYMV T PUT F FOR NO TEST. SAME COLUMNS. +* SSBMV T PUT F FOR NO TEST. SAME COLUMNS. +* SSPMV T PUT F FOR NO TEST. SAME COLUMNS. +* STRMV T PUT F FOR NO TEST. SAME COLUMNS. +* STBMV T PUT F FOR NO TEST. SAME COLUMNS. +* STPMV T PUT F FOR NO TEST. SAME COLUMNS. +* STRSV T PUT F FOR NO TEST. SAME COLUMNS. +* STBSV T PUT F FOR NO TEST. SAME COLUMNS. +* STPSV T PUT F FOR NO TEST. SAME COLUMNS. +* SGER T PUT F FOR NO TEST. SAME COLUMNS. +* SSYR T PUT F FOR NO TEST. SAME COLUMNS. +* SSPR T PUT F FOR NO TEST. SAME COLUMNS. +* SSYR2 T PUT F FOR NO TEST. SAME COLUMNS. +* SSPR2 T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J.. +* An extended set of Fortran Basic Linear Algebra Subprograms. +* +* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics +* and Computer Science Division, Argonne National Laboratory, +* 9700 South Cass Avenue, Argonne, Illinois 60439, US. +* +* Or +* +* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms +* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford +* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st +* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA. +* +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 16 ) + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) + INTEGER NMAX, INCMAX + PARAMETER ( NMAX = 65, INCMAX = 2 ) + INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX + PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7, + $ NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + REAL EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB, + $ NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANS + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ), + $ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( 2*NMAX ) + INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + REAL SDIFF + LOGICAL LSE + EXTERNAL SDIFF, LSE +* .. External Subroutines .. + EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHK6, + $ SCHKE, SMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'SGEMV ', 'SGBMV ', 'SSYMV ', 'SSBMV ', + $ 'SSPMV ', 'STRMV ', 'STBMV ', 'STPMV ', + $ 'STRSV ', 'STBSV ', 'STPSV ', 'SGER ', + $ 'SSYR ', 'SSPR ', 'SSYR2 ', 'SSPR2 '/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 230 + END IF + 10 CONTINUE +* Values of K + READ( NIN, FMT = * )NKB + IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN + WRITE( NOUT, FMT = 9997 )'K', NKBMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( KB( I ), I = 1, NKB ) + DO 20 I = 1, NKB + IF( KB( I ).LT.0 )THEN + WRITE( NOUT, FMT = 9995 ) + GO TO 230 + END IF + 20 CONTINUE +* Values of INCX and INCY + READ( NIN, FMT = * )NINC + IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN + WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( INC( I ), I = 1, NINC ) + DO 30 I = 1, NINC + IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN + WRITE( NOUT, FMT = 9994 )INCMAX + GO TO 230 + END IF + 30 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9993 ) + WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB ) + WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC ) + WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9980 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 40 I = 1, NSUBS + LTEST( I ) = .FALSE. + 40 CONTINUE + 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT + DO 60 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 70 + 60 CONTINUE + WRITE( NOUT, FMT = 9986 )SNAMET + STOP + 70 LTEST( I ) = LTESTT + GO TO 50 +* + 80 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = ONE + 90 CONTINUE + IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO ) + $ GO TO 100 + EPS = HALF*EPS + GO TO 90 + 100 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of SMVCH using exact data. +* + N = MIN( 32, NMAX ) + DO 120 J = 1, N + DO 110 I = 1, N + A( I, J ) = MAX( I - J + 1, 0 ) + 110 CONTINUE + X( J ) = J + Y( J ) = ZERO + 120 CONTINUE + DO 130 J = 1, N + YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE +* YY holds the exact result. On exit from SMVCH YT holds +* the result computed by SMVCH. + TRANS = 'N' + CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF + TRANS = 'T' + CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 210 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL SCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 140, 150, 150, 150, 160, 160, + $ 160, 160, 160, 160, 170, 180, 180, + $ 190, 190 )ISNUM +* Test SGEMV, 01, and SGBMV, 02. + 140 CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test SSYMV, 03, SSBMV, 04, and SSPMV, 05. + 150 CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test STRMV, 06, STBMV, 07, STPMV, 08, +* STRSV, 09, STBSV, 10, and STPSV, 11. + 160 CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z ) + GO TO 200 +* Test SGER, 12. + 170 CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test SSYR, 13, and SSPR, 14. + 180 CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test SSYR2, 15, and SSPR2, 16. + 190 CALL SCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) +* + 200 IF( FATAL.AND.SFATAL ) + $ GO TO 220 + END IF + 210 CONTINUE + WRITE( NOUT, FMT = 9982 ) + GO TO 240 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9981 ) + GO TO 240 +* + 230 CONTINUE + WRITE( NOUT, FMT = 9987 ) +* + 240 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) + 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', + $ I2 ) + 9993 FORMAT( ' TESTS OF THE REAL LEVEL 2 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9992 FORMAT( ' FOR N ', 9I6 ) + 9991 FORMAT( ' FOR K ', 7I6 ) + 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 ) + 9989 FORMAT( ' FOR ALPHA ', 7F6.1 ) + 9988 FORMAT( ' FOR BETA ', 7F6.1 ) + 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9986 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9985 FORMAT( ' ERROR IN SMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' SMVCH WAS CALLED WITH TRANS = ', A1, + $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', / + $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.' + $ , /' ******* TESTS ABANDONED *******' ) + 9984 FORMAT( A6, L2 ) + 9983 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9982 FORMAT( /' END OF TESTS' ) + 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of SBLAT2. +* + END + SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests SGEMV and SGBMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF + PARAMETER ( ZERO = 0.0, HALF = 0.5 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA, + $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK, + $ NL, NS + LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN + CHARACTER*1 TRANS, TRANSS + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SGBMV, SGEMV, SMAKE, SMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 11 + ELSE IF( BANDED )THEN + NARGS = 13 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IKU = 1, NK + IF( BANDED )THEN + KU = KB( IKU ) + KL = MAX( KU - 1, 0 ) + ELSE + KU = N - 1 + KL = M - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = KL + KU + 1 + ELSE + LDA = M + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA, + $ LDA, KL, KU, RESET, TRANSL ) +* + DO 90 IC = 1, 3 + TRANS = ICH( IC: IC ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' +* + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*NL +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, NL, X, 1, XX, + $ ABS( INCX ), 0, NL - 1, RESET, TRANSL ) + IF( NL.GT.1 )THEN + X( NL/2 ) = ZERO + XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*ML +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL SMAKE( 'GE', ' ', ' ', 1, ML, Y, 1, + $ YY, ABS( INCY ), 0, ML - 1, + $ RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANSS = TRANS + MS = M + NS = N + KLS = KL + KUS = KU + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ TRANS, M, N, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL SGEMV( TRANS, M, N, ALPHA, AA, + $ LDA, XX, INCX, BETA, YY, + $ INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANS, M, N, KL, KU, ALPHA, LDA, + $ INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL SGBMV( TRANS, M, N, KL, KU, ALPHA, + $ AA, LDA, XX, INCX, BETA, + $ YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 130 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANS.EQ.TRANSS + ISAME( 2 ) = MS.EQ.M + ISAME( 3 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LSE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LSE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LSE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LSERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 4 ) = KLS.EQ.KL + ISAME( 5 ) = KUS.EQ.KU + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LSE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LSE( XS, XX, LX ) + ISAME( 10 ) = INCXS.EQ.INCX + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LSE( YS, YY, LY ) + ELSE + ISAME( 12 ) = LSERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 13 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 130 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL SMVCH( TRANS, M, N, ALPHA, A, + $ NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 130 + ELSE +* Avoid repeating tests with M.le.0 or +* N.le.0. + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 140 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, + $ ALPHA, LDA, INCX, BETA, INCY + END IF +* + 140 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, + $ ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK1. +* + END + SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests SSYMV, SSBMV and SSPMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF + PARAMETER ( ZERO = 0.0, HALF = 0.5 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY, + $ N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMVCH, SSBMV, SSPMV, SSYMV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 10 + ELSE IF( BANDED )THEN + NARGS = 11 + ELSE IF( PACKED )THEN + NARGS = 9 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA, + $ LDA, K, K, RESET, TRANSL ) +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL SMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + UPLOS = UPLO + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, N, ALPHA, LDA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL SSYMV( UPLO, N, ALPHA, AA, LDA, XX, + $ INCX, BETA, YY, INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, N, K, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL SSBMV( UPLO, N, K, ALPHA, AA, LDA, + $ XX, INCX, BETA, YY, INCY ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, N, ALPHA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL SSPMV( UPLO, N, ALPHA, AA, XX, INCX, + $ BETA, YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LSE( AS, AA, LAA ) + ISAME( 5 ) = LDAS.EQ.LDA + ISAME( 6 ) = LSE( XS, XX, LX ) + ISAME( 7 ) = INCXS.EQ.INCX + ISAME( 8 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LSE( YS, YY, LY ) + ELSE + ISAME( 9 ) = LSERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 10 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 3 ) = KS.EQ.K + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LSE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LSE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LSE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LSERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( PACKED )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LSE( AS, AA, LAA ) + ISAME( 5 ) = LSE( XS, XX, LX ) + ISAME( 6 ) = INCXS.EQ.INCX + ISAME( 7 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 8 ) = LSE( YS, YY, LY ) + ELSE + ISAME( 8 ) = LSERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 9 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL SMVCH( 'N', N, N, ALPHA, A, NMAX, X, + $ INCX, BETA, Y, INCY, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0 + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX, + $ BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ BETA, INCY + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', AP', + $ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, + $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, + $ ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', A,', + $ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK2. +* + END + SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z ) +* +* Tests STRMV, STBMV, STPMV, STRSV, STBSV and STPSV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XT( NMAX ), + $ XX( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + REAL ERR, ERRMAX, TRANSL + INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K, + $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHD, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMVCH, STBMV, STBSV, STPMV, STPSV, + $ STRMV, STRSV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'R' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 8 + ELSE IF( BANDED )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 7 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* Set up zero vector for SMVCH. + DO 10 I = 1, NMAX + Z( I ) = ZERO + 10 CONTINUE +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) +* + DO 70 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A, + $ NMAX, AA, LDA, K, K, RESET, TRANSL ) +* + DO 60 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, + $ TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + DIAGS = DIAG + NS = N + KS = K + DO 20 I = 1, LAA + AS( I ) = AA( I ) + 20 CONTINUE + LDAS = LDA + DO 30 I = 1, LX + XS( I ) = XX( I ) + 30 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL STRMV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL STBMV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL STPMV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL STRSV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL STBSV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL STPSV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = TRANS.EQ.TRANSS + ISAME( 3 ) = DIAG.EQ.DIAGS + ISAME( 4 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 5 ) = LSE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 7 ) = LSE( XS, XX, LX ) + ELSE + ISAME( 7 ) = LSERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 8 ) = INCXS.EQ.INCX + ELSE IF( BANDED )THEN + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = LSE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 8 ) = LSE( XS, XX, LX ) + ELSE + ISAME( 8 ) = LSERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 9 ) = INCXS.EQ.INCX + ELSE IF( PACKED )THEN + ISAME( 5 ) = LSE( AS, AA, LAA ) + IF( NULL )THEN + ISAME( 6 ) = LSE( XS, XX, LX ) + ELSE + ISAME( 6 ) = LSERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 7 ) = INCXS.EQ.INCX + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MV' )THEN +* +* Check the result. +* + CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, + $ INCX, ZERO, Z, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN +* +* Compute approximation to original vector. +* + DO 50 I = 1, N + Z( I ) = XX( 1 + ( I - 1 )* + $ ABS( INCX ) ) + XX( 1 + ( I - 1 )*ABS( INCX ) ) + $ = X( I ) + 50 CONTINUE + CALL SMVCH( TRANS, N, N, ONE, A, NMAX, Z, + $ INCX, ZERO, X, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .FALSE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0. + GO TO 110 + END IF +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA, + $ INCX + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K, + $ LDA, INCX + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ', + $ 'X,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ), + $ ' A,', I3, ', X,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,', + $ I3, ', X,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK3. +* + END + SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests SGER. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + REAL ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS, + $ NC, ND, NS + LOGICAL NULL, RESET, SAME +* .. Local Arrays .. + REAL W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SGER, SMAKE, SMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* Define the number of arguments. + NARGS = 9 +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* +* Set LDA to 1 more than minimum value if room. + LDA = M + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 100 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*M +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ), + $ 0, M - 1, RESET, TRANSL ) + IF( M.GT.1 )THEN + X( M/2 ) = ZERO + XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO + END IF +* + DO 90 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL SMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, + $ AA, LDA, M - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL SGER( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 140 + END IF +* +* See what data changed inside subroutine. +* + ISAME( 1 ) = MS.EQ.M + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LSE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LSE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LSE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LSERES( 'GE', ' ', M, N, AS, AA, + $ LDA ) + END IF + ISAME( 9 ) = LDAS.EQ.LDA +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 140 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, M + Z( I ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, M + Z( I ) = X( M - I + 1 ) + 60 CONTINUE + END IF + DO 70 J = 1, N + IF( INCY.GT.0 )THEN + W( 1 ) = Y( J ) + ELSE + W( 1 ) = Y( N - J + 1 ) + END IF + CALL SMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1, + $ ONE, A( 1, J ), 1, YT, G, + $ AA( 1 + ( J - 1 )*LDA ), EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 130 + 70 CONTINUE + ELSE +* Avoid repeating tests with M.le.0 or N.le.0. + GO TO 110 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 150 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 140 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), F4.1, ', X,', I2, + $ ', Y,', I2, ', A,', I3, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK4. +* + END + SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests SSYR and SSPR. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + REAL ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA, + $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + REAL W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMVCH, SSPR, SSYR +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 7 + ELSE IF( PACKED )THEN + NARGS = 6 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, + $ AA, LDA, N - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, LDA + IF( REWI ) + $ REWIND NTRA + CALL SSYR( UPLO, N, ALPHA, XX, INCX, AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX + IF( REWI ) + $ REWIND NTRA + CALL SSPR( UPLO, N, ALPHA, XX, INCX, AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LSE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + IF( NULL )THEN + ISAME( 6 ) = LSE( AS, AA, LAA ) + ELSE + ISAME( 6 ) = LSERES( SNAME( 2: 3 ), UPLO, N, N, AS, + $ AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 7 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 40 I = 1, N + Z( I ) = X( I ) + 40 CONTINUE + ELSE + DO 50 I = 1, N + Z( I ) = X( N - I + 1 ) + 50 CONTINUE + END IF + JA = 1 + DO 60 J = 1, N + W( 1 ) = Z( J ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL SMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W, + $ 1, ONE, A( JJ, J ), 1, YT, G, + $ AA( JA ), EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 110 + 60 CONTINUE + ELSE +* Avoid repeating tests if N.le.0. + IF( N.LE.0 ) + $ GO TO 100 + END IF +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK5. +* + END + SUBROUTINE SCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests SSYR2 and SSPR2. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX, 2 ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + REAL ALPHA, ALS, ERR, ERRMAX, TRANSL + INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N, + $ NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + REAL W( 2 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMVCH, SSPR2, SSYR2 +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'Y' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 8 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 140 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 140 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 130 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 120 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL SMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 110 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL SMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 100 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL SMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, + $ NMAX, AA, LDA, N - 1, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL SSYR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY + IF( REWI ) + $ REWIND NTRA + CALL SSPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 160 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LSE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LSE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LSE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LSERES( SNAME( 2: 3 ), UPLO, N, N, + $ AS, AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 9 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 160 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, N + Z( I, 1 ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, N + Z( I, 1 ) = X( N - I + 1 ) + 60 CONTINUE + END IF + IF( INCY.GT.0 )THEN + DO 70 I = 1, N + Z( I, 2 ) = Y( I ) + 70 CONTINUE + ELSE + DO 80 I = 1, N + Z( I, 2 ) = Y( N - I + 1 ) + 80 CONTINUE + END IF + JA = 1 + DO 90 J = 1, N + W( 1 ) = Z( J, 2 ) + W( 2 ) = Z( J, 1 ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL SMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ), + $ NMAX, W, 1, ONE, A( JJ, J ), 1, + $ YT, G, AA( JA ), EPS, ERR, FATAL, + $ NOUT, .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 150 + 90 CONTINUE + ELSE +* Avoid repeating tests with N.le.0. + IF( N.LE.0 ) + $ GO TO 140 + END IF +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 170 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 160 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ INCY, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY + END IF +* + 170 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', Y,', I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', Y,', I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK6. +* + END + SUBROUTINE SCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 2 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, BETA, A, X and Y should not need to be defined. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + REAL ALPHA, BETA +* .. Local Arrays .. + REAL A( 1, 1 ), X( 1 ), Y( 1 ) +* .. External Subroutines .. + EXTERNAL CHKXER, SGBMV, SGEMV, SGER, SSBMV, SSPMV, SSPR, + $ SSPR2, SSYMV, SSYR, SSYR2, STBMV, STBSV, STPMV, + $ STPSV, STRMV, STRSV +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90, 100, 110, 120, 130, 140, 150, + $ 160 )ISNUM + 10 INFOT = 1 + CALL SGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL SGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL SGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 20 INFOT = 1 + CALL SGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL SGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 30 INFOT = 1 + CALL SSYMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SSYMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 40 INFOT = 1 + CALL SSBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL SSBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SSBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL SSBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 50 INFOT = 1 + CALL SSPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL SSPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 60 INFOT = 1 + CALL STRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL STRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 70 INFOT = 1 + CALL STBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL STBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 80 INFOT = 1 + CALL STPMV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STPMV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STPMV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STPMV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL STPMV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 90 INFOT = 1 + CALL STRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL STRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 100 INFOT = 1 + CALL STBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL STBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 110 INFOT = 1 + CALL STPSV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STPSV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STPSV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STPSV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL STPSV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 120 INFOT = 1 + CALL SGER( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SGER( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGER( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SGER( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SGER( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 130 INFOT = 1 + CALL SSYR( '/', 0, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYR( 'U', -1, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SSYR( 'U', 0, ALPHA, X, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR( 'U', 2, ALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 140 INFOT = 1 + CALL SSPR( '/', 0, ALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSPR( 'U', -1, ALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SSPR( 'U', 0, ALPHA, X, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 150 INFOT = 1 + CALL SSYR2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYR2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SSYR2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYR2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 170 + 160 INFOT = 1 + CALL SSPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SSPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSPR2( 'U', 0, ALPHA, X, 1, Y, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 170 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of SCHKE. +* + END + SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL, + $ KU, RESET, TRANSL ) +* +* Generates values for an M by N matrix A within the bandwidth +* defined by KL and KU. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'GB', 'SY', 'SB', 'SP', 'TR', 'TB' OR 'TP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0, ONE = 1.0 ) + REAL ROGUE + PARAMETER ( ROGUE = -1.0E10 ) +* .. Scalar Arguments .. + REAL TRANSL + INTEGER KL, KU, LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + REAL A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + REAL SBEG + EXTERNAL SBEG +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Executable Statements .. + GEN = TYPE( 1: 1 ).EQ.'G' + SYM = TYPE( 1: 1 ).EQ.'S' + TRI = TYPE( 1: 1 ).EQ.'T' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + IF( ( I.LE.J.AND.J - I.LE.KU ).OR. + $ ( I.GE.J.AND.I - J.LE.KL ) )THEN + A( I, J ) = SBEG( RESET ) + TRANSL + ELSE + A( I, J ) = ZERO + END IF + IF( I.NE.J )THEN + IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'GB' )THEN + DO 90 J = 1, N + DO 60 I1 = 1, KU + 1 - J + AA( I1 + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J ) + AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) + 70 CONTINUE + DO 80 I3 = I2, LDA + AA( I3 + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 130 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 100 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 100 CONTINUE + DO 110 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 110 CONTINUE + DO 120 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 120 CONTINUE + 130 CONTINUE + ELSE IF( TYPE.EQ.'SB'.OR.TYPE.EQ.'TB' )THEN + DO 170 J = 1, N + IF( UPPER )THEN + KK = KL + 1 + IBEG = MAX( 1, KL + 2 - J ) + IF( UNIT )THEN + IEND = KL + ELSE + IEND = KL + 1 + END IF + ELSE + KK = 1 + IF( UNIT )THEN + IBEG = 2 + ELSE + IBEG = 1 + END IF + IEND = MIN( KL + 1, 1 + M - J ) + END IF + DO 140 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 140 CONTINUE + DO 150 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) + 150 CONTINUE + DO 160 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 160 CONTINUE + 170 CONTINUE + ELSE IF( TYPE.EQ.'SP'.OR.TYPE.EQ.'TP' )THEN + IOFF = 0 + DO 190 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 180 I = IBEG, IEND + IOFF = IOFF + 1 + AA( IOFF ) = A( I, J ) + IF( I.EQ.J )THEN + IF( UNIT ) + $ AA( IOFF ) = ROGUE + END IF + 180 CONTINUE + 190 CONTINUE + END IF + RETURN +* +* End of SMAKE. +* + END + SUBROUTINE SMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL ALPHA, BETA, EPS, ERR + INTEGER INCX, INCY, M, N, NMAX, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANS +* .. Array Arguments .. + REAL A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ), + $ YY( * ) +* .. Local Scalars .. + REAL ERRI + INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL + LOGICAL TRAN +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, SQRT +* .. Executable Statements .. + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF + IF( INCX.LT.0 )THEN + KX = NL + INCXL = -1 + ELSE + KX = 1 + INCXL = 1 + END IF + IF( INCY.LT.0 )THEN + KY = ML + INCYL = -1 + ELSE + KY = 1 + INCYL = 1 + END IF +* +* Compute expected result in YT using data in A, X and Y. +* Compute gauges in G. +* + IY = KY + DO 30 I = 1, ML + YT( IY ) = ZERO + G( IY ) = ZERO + JX = KX + IF( TRAN )THEN + DO 10 J = 1, NL + YT( IY ) = YT( IY ) + A( J, I )*X( JX ) + G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) ) + JX = JX + INCXL + 10 CONTINUE + ELSE + DO 20 J = 1, NL + YT( IY ) = YT( IY ) + A( I, J )*X( JX ) + G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) ) + JX = JX + INCXL + 20 CONTINUE + END IF + YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY ) + G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) ) + IY = IY + INCYL + 30 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 40 I = 1, ML + ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS + IF( G( I ).NE.ZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.ONE ) + $ GO TO 50 + 40 CONTINUE +* If the loop completes, all results are at least half accurate. + GO TO 70 +* +* Report fatal error. +* + 50 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 60 I = 1, ML + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, YT( I ), + $ YY( 1 + ( I - 1 )*ABS( INCY ) ) + ELSE + WRITE( NOUT, FMT = 9998 )I, + $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT(I) + END IF + 60 CONTINUE +* + 70 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', + $ 'TED RESULT' ) + 9998 FORMAT( 1X, I7, 2G18.6 ) +* +* End of SMVCH. +* + END + LOGICAL FUNCTION LSE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + REAL RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LSE = .TRUE. + GO TO 30 + 20 CONTINUE + LSE = .FALSE. + 30 RETURN +* +* End of LSE. +* + END + LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE', 'SY' or 'SP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + REAL AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LSERES = .TRUE. + GO TO 80 + 70 CONTINUE + LSERES = .FALSE. + 80 RETURN +* +* End of LSERES. +* + END + REAL FUNCTION SBEG( RESET ) +* +* Generates random numbers uniformly distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, MI +* .. Save statement .. + SAVE I, IC, MI +* .. Intrinsic Functions .. + INTRINSIC REAL +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + I = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I is bounded between 1 and 999. +* If initial I = 1,2,3,6,7 or 9, the period will be 50. +* If initial I = 4 or 8, the period will be 25. +* If initial I = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I in 6. +* + IC = IC + 1 + 10 I = I*MI + I = I - 1000*( I/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + SBEG = REAL( I - 500 )/1001.0 + RETURN +* +* End of SBEG. +* + END + REAL FUNCTION SDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* +* .. Scalar Arguments .. + REAL X, Y +* .. Executable Statements .. + SDIFF = X - Y + RETURN +* +* End of SDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 2 BLAS +* routines. +* +* XERBLA is an error handler for the Level 2 BLAS routines. +* +* It is called by the Level 2 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/sblat3.dat b/eigen/blas/testing/sblat3.dat new file mode 100644 index 0000000..680e736 --- /dev/null +++ b/eigen/blas/testing/sblat3.dat @@ -0,0 +1,20 @@ +'sblat3.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'sblat3.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +3 NUMBER OF VALUES OF ALPHA +0.0 1.0 0.7 VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +0.0 1.0 1.3 VALUES OF BETA +SGEMM T PUT F FOR NO TEST. SAME COLUMNS. +SSYMM T PUT F FOR NO TEST. SAME COLUMNS. +STRMM T PUT F FOR NO TEST. SAME COLUMNS. +STRSM T PUT F FOR NO TEST. SAME COLUMNS. +SSYRK T PUT F FOR NO TEST. SAME COLUMNS. +SSYR2K T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/sblat3.f b/eigen/blas/testing/sblat3.f new file mode 100644 index 0000000..325a9eb --- /dev/null +++ b/eigen/blas/testing/sblat3.f @@ -0,0 +1,2823 @@ + PROGRAM SBLAT3 +* +* Test program for the REAL Level 3 Blas. +* +* The program must be driven by a short data file. The first 14 records +* of the file are read using list-directed input, the last 6 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 20 lines: +* 'SBLAT3.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'SBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 3 NUMBER OF VALUES OF ALPHA +* 0.0 1.0 0.7 VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* 0.0 1.0 1.3 VALUES OF BETA +* SGEMM T PUT F FOR NO TEST. SAME COLUMNS. +* SSYMM T PUT F FOR NO TEST. SAME COLUMNS. +* STRMM T PUT F FOR NO TEST. SAME COLUMNS. +* STRSM T PUT F FOR NO TEST. SAME COLUMNS. +* SSYRK T PUT F FOR NO TEST. SAME COLUMNS. +* SSYR2K T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. +* A Set of Level 3 Basic Linear Algebra Subprograms. +* +* Technical Memorandum No.88 (Revision 1), Mathematics and +* Computer Science Division, Argonne National Laboratory, 9700 +* South Cass Avenue, Argonne, Illinois 60439, US. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 6 ) + REAL ZERO, HALF, ONE + PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) + INTEGER NMAX + PARAMETER ( NMAX = 65 ) + INTEGER NIDMAX, NALMAX, NBEMAX + PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + REAL EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANSA, TRANSB + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + REAL AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), + $ BB( NMAX*NMAX ), BET( NBEMAX ), + $ BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ G( NMAX ), W( 2*NMAX ) + INTEGER IDIM( NIDMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + REAL SDIFF + LOGICAL LSE + EXTERNAL SDIFF, LSE +* .. External Subroutines .. + EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHKE, SMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'SGEMM ', 'SSYMM ', 'STRMM ', 'STRSM ', + $ 'SSYRK ', 'SSYR2K'/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 220 + END IF + 10 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9995 ) + WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9984 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 20 I = 1, NSUBS + LTEST( I ) = .FALSE. + 20 CONTINUE + 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT + DO 40 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 50 + 40 CONTINUE + WRITE( NOUT, FMT = 9990 )SNAMET + STOP + 50 LTEST( I ) = LTESTT + GO TO 30 +* + 60 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = ONE + 70 CONTINUE + IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO ) + $ GO TO 80 + EPS = HALF*EPS + GO TO 70 + 80 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of SMMCH using exact data. +* + N = MIN( 32, NMAX ) + DO 100 J = 1, N + DO 90 I = 1, N + AB( I, J ) = MAX( I - J + 1, 0 ) + 90 CONTINUE + AB( J, NMAX + 1 ) = J + AB( 1, NMAX + J ) = J + C( J, 1 ) = ZERO + 100 CONTINUE + DO 110 J = 1, N + CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 110 CONTINUE +* CC holds the exact result. On exit from SMMCH CT holds +* the result computed by SMMCH. + TRANSA = 'N' + TRANSB = 'N' + CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'T' + CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + DO 120 J = 1, N + AB( J, NMAX + 1 ) = N - J + 1 + AB( 1, NMAX + J ) = N - J + 1 + 120 CONTINUE + DO 130 J = 1, N + CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - + $ ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE + TRANSA = 'T' + TRANSB = 'N' + CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'T' + CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LSE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 200 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL SCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM +* Test SGEMM, 01. + 140 CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test SSYMM, 02. + 150 CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test STRMM, 03, STRSM, 04. + 160 CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, + $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C ) + GO TO 190 +* Test SSYRK, 05. + 170 CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test SSYR2K, 06. + 180 CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) + GO TO 190 +* + 190 IF( FATAL.AND.SFATAL ) + $ GO TO 210 + END IF + 200 CONTINUE + WRITE( NOUT, FMT = 9986 ) + GO TO 230 +* + 210 CONTINUE + WRITE( NOUT, FMT = 9985 ) + GO TO 230 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9991 ) +* + 230 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' TESTS OF THE REAL LEVEL 3 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9994 FORMAT( ' FOR N ', 9I6 ) + 9993 FORMAT( ' FOR ALPHA ', 7F6.1 ) + 9992 FORMAT( ' FOR BETA ', 7F6.1 ) + 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9990 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9989 FORMAT( ' ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' SMMCH WAS CALLED WITH TRANSA = ', A1, + $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', + $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', + $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', + $ '*******' ) + 9988 FORMAT( A6, L2 ) + 9987 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9986 FORMAT( /' END OF TESTS' ) + 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of SBLAT3. +* + END + SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests SGEMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX + INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, + $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, + $ MA, MB, MS, N, NA, NARGS, NB, NC, NS + LOGICAL NULL, RESET, SAME, TRANA, TRANB + CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SGEMM, SMAKE, SMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. +* + NARGS = 13 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 110 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICA = 1, 3 + TRANSA = ICH( ICA: ICA ) + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' +* + IF( TRANA )THEN + MA = K + NA = M + ELSE + MA = M + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICB = 1, 3 + TRANSB = ICH( ICB: ICB ) + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* + IF( TRANB )THEN + MB = N + NB = K + ELSE + MB = K + NB = N + END IF +* Set LDB to 1 more than minimum value if room. + LDB = MB + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 70 + LBB = LDB*NB +* +* Generate the matrix B. +* + CALL SMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, + $ LDB, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, + $ CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANAS = TRANSA + TRANBS = TRANSB + MS = M + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB, + $ BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL SGEMM( TRANSA, TRANSB, M, N, K, ALPHA, + $ AA, LDA, BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANSA.EQ.TRANAS + ISAME( 2 ) = TRANSB.EQ.TRANBS + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LSE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LSE( BS, BB, LBB ) + ISAME( 10 ) = LDBS.EQ.LDB + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LSE( CS, CC, LCC ) + ELSE + ISAME( 12 ) = LSERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 13 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL SMMCH( TRANSA, TRANSB, M, N, K, + $ ALPHA, A, NMAX, B, NMAX, BETA, + $ C, NMAX, CT, G, CC, LDC, EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K, + $ ALPHA, LDA, LDB, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',''', A1, ''',', + $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ', + $ 'C,', I3, ').' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK1. +* + END + SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests SSYMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX + INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, + $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, + $ NARGS, NC, NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 SIDE, SIDES, UPLO, UPLOS + CHARACTER*2 ICHS, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMMCH, SSYMM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHS/'LR'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 90 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 90 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 90 + LBB = LDB*N +* +* Generate the matrix B. +* + CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, + $ ZERO ) +* + DO 80 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' +* + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* +* Generate the symmetric matrix A. +* + CALL SMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, SIDE, + $ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL SSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 110 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LSE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LSE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LSE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LSERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 110 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL SMMCH( 'N', 'N', M, N, M, ALPHA, A, + $ NMAX, B, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL SMMCH( 'N', 'N', M, N, N, ALPHA, B, + $ NMAX, A, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 120 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA, + $ LDB, BETA, LDC +* + 120 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK2. +* + END + SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, + $ B, BB, BS, CT, G, C ) +* +* Tests STRMM and STRSM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + REAL ALPHA, ALS, ERR, ERRMAX + INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, + $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, + $ NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, + $ UPLOS + CHARACTER*2 ICHD, ICHS, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMMCH, STRMM, STRSM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ +* .. Executable Statements .. +* + NARGS = 11 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* Set up zero matrix for SMMCH. + DO 20 J = 1, NMAX + DO 10 I = 1, NMAX + C( I, J ) = ZERO + 10 CONTINUE + 20 CONTINUE +* + DO 140 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 130 + LBB = LDB*N + NULL = M.LE.0.OR.N.LE.0 +* + DO 120 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 130 + LAA = LDA*NA +* + DO 110 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 100 ICT = 1, 3 + TRANSA = ICHT( ICT: ICT ) +* + DO 90 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + CALL SMAKE( 'TR', UPLO, DIAG, NA, NA, A, + $ NMAX, AA, LDA, RESET, ZERO ) +* +* Generate the matrix B. +* + CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, + $ BB, LDB, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + TRANAS = TRANSA + DIAGS = DIAG + MS = M + NS = N + ALS = ALPHA + DO 30 I = 1, LAA + AS( I ) = AA( I ) + 30 CONTINUE + LDAS = LDA + DO 40 I = 1, LBB + BS( I ) = BB( I ) + 40 CONTINUE + LDBS = LDB +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL STRMM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL STRSM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = TRANAS.EQ.TRANSA + ISAME( 4 ) = DIAGS.EQ.DIAG + ISAME( 5 ) = MS.EQ.M + ISAME( 6 ) = NS.EQ.N + ISAME( 7 ) = ALS.EQ.ALPHA + ISAME( 8 ) = LSE( AS, AA, LAA ) + ISAME( 9 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 10 ) = LSE( BS, BB, LBB ) + ELSE + ISAME( 10 ) = LSERES( 'GE', ' ', M, N, BS, + $ BB, LDB ) + END IF + ISAME( 11 ) = LDBS.EQ.LDB +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 50 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 50 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MM' )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL SMMCH( TRANSA, 'N', M, N, M, + $ ALPHA, A, NMAX, B, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL SMMCH( 'N', TRANSA, M, N, N, + $ ALPHA, B, NMAX, A, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN +* +* Compute approximation to original +* matrix. +* + DO 70 J = 1, N + DO 60 I = 1, M + C( I, J ) = BB( I + ( J - 1 )* + $ LDB ) + BB( I + ( J - 1 )*LDB ) = ALPHA* + $ B( I, J ) + 60 CONTINUE + 70 CONTINUE +* + IF( LEFT )THEN + CALL SMMCH( TRANSA, 'N', M, N, M, + $ ONE, A, NMAX, C, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + ELSE + CALL SMMCH( 'N', TRANSA, M, N, N, + $ ONE, C, NMAX, A, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + END IF + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 150 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, LDA, LDB +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 4( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ') .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK3. +* + END + SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests SSYRK. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, + $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, + $ NARGS, NC, NS + LOGICAL NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMMCH, SSYRK +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NTC'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 10 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + BETS = BETA + DO 20 I = 1, LCC + CS( I ) = CC( I ) + 20 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL SSYRK( UPLO, TRANS, N, K, ALPHA, AA, LDA, + $ BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LSE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = BETS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LSE( CS, CC, LCC ) + ELSE + ISAME( 9 ) = LSERES( 'SY', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 10 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + JC = 1 + DO 40 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + CALL SMMCH( 'T', 'N', LJ, 1, K, ALPHA, + $ A( 1, JJ ), NMAX, + $ A( 1, J ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL SMMCH( 'N', 'T', LJ, 1, K, ALPHA, + $ A( JJ, 1 ), NMAX, + $ A( J, 1 ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + 40 CONTINUE + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK4. +* + END + SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) +* +* Tests SSYR2K. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0 ) +* .. Scalar Arguments .. + REAL EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + REAL AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), + $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), + $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ G( NMAX ), W( 2*NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, + $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, + $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS + LOGICAL NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LSE, LSERES + EXTERNAL LSE, LSERES +* .. External Subroutines .. + EXTERNAL SMAKE, SMMCH, SSYR2K +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NTC'/, ICHU/'UL'/ +* .. Executable Statements .. +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = ZERO +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 130 + LCC = LDC*N + NULL = N.LE.0 +* + DO 120 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 110 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*NA +* +* Generate the matrix A. +* + IF( TRAN )THEN + CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, + $ LDA, RESET, ZERO ) + ELSE + CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, + $ RESET, ZERO ) + END IF +* +* Generate the matrix B. +* + LDB = LDA + LBB = LAA + IF( TRAN )THEN + CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), + $ 2*NMAX, BB, LDB, RESET, ZERO ) + ELSE + CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), + $ NMAX, BB, LDB, RESET, ZERO ) + END IF +* + DO 100 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 90 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 80 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BETS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL SSYR2K( UPLO, TRANS, N, K, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LSE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LSE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BETS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LSE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LSERES( 'SY', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + JJAB = 1 + JC = 1 + DO 70 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + DO 50 I = 1, K + W( I ) = AB( ( J - 1 )*2*NMAX + K + + $ I ) + W( K + I ) = AB( ( J - 1 )*2*NMAX + + $ I ) + 50 CONTINUE + CALL SMMCH( 'T', 'N', LJ, 1, 2*K, + $ ALPHA, AB( JJAB ), 2*NMAX, + $ W, 2*NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + DO 60 I = 1, K + W( I ) = AB( ( K + I - 1 )*NMAX + + $ J ) + W( K + I ) = AB( ( I - 1 )*NMAX + + $ J ) + 60 CONTINUE + CALL SMMCH( 'N', 'N', LJ, 1, 2*K, + $ ALPHA, AB( JJ ), NMAX, W, + $ 2*NMAX, BETA, C( JJ, J ), + $ NMAX, CT, G, CC( JC ), LDC, + $ EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + IF( TRAN ) + $ JJAB = JJAB + 2*NMAX + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 140 + 70 CONTINUE + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, BETA, LDC +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of SCHK5. +* + END + SUBROUTINE SCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 3 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, BETA, A, B and C should not need to be defined. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + REAL ALPHA, BETA +* .. Local Arrays .. + REAL A( 2, 1 ), B( 2, 1 ), C( 2, 1 ) +* .. External Subroutines .. + EXTERNAL CHKXER, SGEMM, SSYMM, SSYR2K, SSYRK, STRMM, + $ STRSM +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60 )ISNUM + 10 INFOT = 1 + CALL SGEMM( '/', 'N', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL SGEMM( '/', 'T', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SGEMM( 'N', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SGEMM( 'T', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGEMM( 'N', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGEMM( 'N', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGEMM( 'T', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SGEMM( 'T', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SGEMM( 'N', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SGEMM( 'N', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SGEMM( 'T', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SGEMM( 'T', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGEMM( 'N', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGEMM( 'N', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGEMM( 'T', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL SGEMM( 'T', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL SGEMM( 'T', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SGEMM( 'N', 'N', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SGEMM( 'N', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SGEMM( 'T', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL SGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL SGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL SGEMM( 'T', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL SGEMM( 'T', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 20 INFOT = 1 + CALL SSYMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 30 INFOT = 1 + CALL STRMM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STRMM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STRMM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STRMM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRMM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRMM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRMM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRMM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 40 INFOT = 1 + CALL STRSM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL STRSM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL STRSM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL STRSM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL STRSM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL STRSM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL STRSM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL STRSM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 50 INFOT = 1 + CALL SSYRK( '/', 'N', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYRK( 'U', '/', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYRK( 'U', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYRK( 'U', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYRK( 'L', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYRK( 'L', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYRK( 'U', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYRK( 'U', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYRK( 'L', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYRK( 'L', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYRK( 'U', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYRK( 'U', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYRK( 'L', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYRK( 'L', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYRK( 'U', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYRK( 'U', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYRK( 'L', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYRK( 'L', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 70 + 60 INFOT = 1 + CALL SSYR2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL SSYR2K( 'U', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYR2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYR2K( 'U', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYR2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL SSYR2K( 'L', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYR2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYR2K( 'U', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYR2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL SSYR2K( 'L', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR2K( 'U', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYR2K( 'L', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYR2K( 'U', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL SSYR2K( 'L', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYR2K( 'U', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL SSYR2K( 'L', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 70 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of SCHKE. +* + END + SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, + $ TRANSL ) +* +* Generates values for an M by N matrix A. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'SY' or 'TR'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0, ONE = 1.0 ) + REAL ROGUE + PARAMETER ( ROGUE = -1.0E10 ) +* .. Scalar Arguments .. + REAL TRANSL + INTEGER LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + REAL A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + REAL SBEG + EXTERNAL SBEG +* .. Executable Statements .. + GEN = TYPE.EQ.'GE' + SYM = TYPE.EQ.'SY' + TRI = TYPE.EQ.'TR' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + A( I, J ) = SBEG( RESET ) + TRANSL + IF( I.NE.J )THEN +* Set some elements to zero + IF( N.GT.3.AND.J.EQ.N/2 ) + $ A( I, J ) = ZERO + IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 90 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 60 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 70 CONTINUE + DO 80 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + END IF + RETURN +* +* End of SMAKE. +* + END + SUBROUTINE SMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, + $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, + $ NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0, ONE = 1.0 ) +* .. Scalar Arguments .. + REAL ALPHA, BETA, EPS, ERR + INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANSA, TRANSB +* .. Array Arguments .. + REAL A( LDA, * ), B( LDB, * ), C( LDC, * ), + $ CC( LDCC, * ), CT( * ), G( * ) +* .. Local Scalars .. + REAL ERRI + INTEGER I, J, K + LOGICAL TRANA, TRANB +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, SQRT +* .. Executable Statements .. + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* +* Compute expected result, one column at a time, in CT using data +* in A, B and C. +* Compute gauges in G. +* + DO 120 J = 1, N +* + DO 10 I = 1, M + CT( I ) = ZERO + G( I ) = ZERO + 10 CONTINUE + IF( .NOT.TRANA.AND..NOT.TRANB )THEN + DO 30 K = 1, KK + DO 20 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( K, J ) + G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) ) + 20 CONTINUE + 30 CONTINUE + ELSE IF( TRANA.AND..NOT.TRANB )THEN + DO 50 K = 1, KK + DO 40 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( K, J ) + G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) ) + 40 CONTINUE + 50 CONTINUE + ELSE IF( .NOT.TRANA.AND.TRANB )THEN + DO 70 K = 1, KK + DO 60 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( J, K ) + G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) ) + 60 CONTINUE + 70 CONTINUE + ELSE IF( TRANA.AND.TRANB )THEN + DO 90 K = 1, KK + DO 80 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( J, K ) + G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) ) + 80 CONTINUE + 90 CONTINUE + END IF + DO 100 I = 1, M + CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) + G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) ) + 100 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 110 I = 1, M + ERRI = ABS( CT( I ) - CC( I, J ) )/EPS + IF( G( I ).NE.ZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.ONE ) + $ GO TO 130 + 110 CONTINUE +* + 120 CONTINUE +* +* If the loop completes, all results are at least half accurate. + GO TO 150 +* +* Report fatal error. +* + 130 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 140 I = 1, M + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) + ELSE + WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) + END IF + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9997 )J +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', + $ 'TED RESULT' ) + 9998 FORMAT( 1X, I7, 2G18.6 ) + 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) +* +* End of SMMCH. +* + END + LOGICAL FUNCTION LSE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + REAL RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LSE = .TRUE. + GO TO 30 + 20 CONTINUE + LSE = .FALSE. + 30 RETURN +* +* End of LSE. +* + END + LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE' or 'SY'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + REAL AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LSERES = .TRUE. + GO TO 80 + 70 CONTINUE + LSERES = .FALSE. + 80 RETURN +* +* End of LSERES. +* + END + REAL FUNCTION SBEG( RESET ) +* +* Generates random numbers uniformly distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, MI +* .. Save statement .. + SAVE I, IC, MI +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + I = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I is bounded between 1 and 999. +* If initial I = 1,2,3,6,7 or 9, the period will be 50. +* If initial I = 4 or 8, the period will be 25. +* If initial I = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I in 6. +* + IC = IC + 1 + 10 I = I*MI + I = I - 1000*( I/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + SBEG = ( I - 500 )/1001.0 + RETURN +* +* End of SBEG. +* + END + REAL FUNCTION SDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + REAL X, Y +* .. Executable Statements .. + SDIFF = X - Y + RETURN +* +* End of SDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 3 BLAS +* routines. +* +* XERBLA is an error handler for the Level 3 BLAS routines. +* +* It is called by the Level 3 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/zblat1.f b/eigen/blas/testing/zblat1.f new file mode 100644 index 0000000..e2415e1 --- /dev/null +++ b/eigen/blas/testing/zblat1.f @@ -0,0 +1,681 @@ + PROGRAM ZBLAT1 +* Test program for the COMPLEX*16 Level 1 BLAS. +* Based upon the original BLAS test routine together with: +* F06GAF Example Program Text +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SFAC + INTEGER IC +* .. External Subroutines .. + EXTERNAL CHECK1, CHECK2, HEADER +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA SFAC/9.765625D-4/ +* .. Executable Statements .. + WRITE (NOUT,99999) + DO 20 IC = 1, 10 + ICASE = IC + CALL HEADER +* +* Initialize PASS, INCX, INCY, and MODE for a new case. +* The value 9999 for INCX, INCY or MODE will appear in the +* detailed output, if any, for cases that do not involve +* these parameters. +* + PASS = .TRUE. + INCX = 9999 + INCY = 9999 + MODE = 9999 + IF (ICASE.LE.5) THEN + CALL CHECK2(SFAC) + ELSE IF (ICASE.GE.6) THEN + CALL CHECK1(SFAC) + END IF +* -- Print + IF (PASS) WRITE (NOUT,99998) + 20 CONTINUE + STOP +* +99999 FORMAT (' Complex BLAS Test Program Results',/1X) +99998 FORMAT (' ----- PASS -----') + END + SUBROUTINE HEADER +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Arrays .. + CHARACTER*6 L(10) +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA L(1)/'ZDOTC '/ + DATA L(2)/'ZDOTU '/ + DATA L(3)/'ZAXPY '/ + DATA L(4)/'ZCOPY '/ + DATA L(5)/'ZSWAP '/ + DATA L(6)/'DZNRM2'/ + DATA L(7)/'DZASUM'/ + DATA L(8)/'ZSCAL '/ + DATA L(9)/'ZDSCAL'/ + DATA L(10)/'IZAMAX'/ +* .. Executable Statements .. + WRITE (NOUT,99999) ICASE, L(ICASE) + RETURN +* +99999 FORMAT (/' Test of subprogram number',I3,12X,A6) + END + SUBROUTINE CHECK1(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + COMPLEX*16 CA + DOUBLE PRECISION SA + INTEGER I, J, LEN, NP1 +* .. Local Arrays .. + COMPLEX*16 CTRUE5(8,5,2), CTRUE6(8,5,2), CV(8,5,2), CX(8), + + MWPCS(5), MWPCT(5) + DOUBLE PRECISION STRUE2(5), STRUE4(5) + INTEGER ITRUE3(5) +* .. External Functions .. + DOUBLE PRECISION DZASUM, DZNRM2 + INTEGER IZAMAX + EXTERNAL DZASUM, DZNRM2, IZAMAX +* .. External Subroutines .. + EXTERNAL ZSCAL, ZDSCAL, CTEST, ITEST1, STEST1 +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA SA, CA/0.3D0, (0.4D0,-0.7D0)/ + DATA ((CV(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (0.3D0,-0.4D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (0.1D0,-0.3D0), (0.5D0,-0.1D0), (5.0D0,6.0D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (0.1D0,0.1D0), + + (-0.6D0,0.1D0), (0.1D0,-0.3D0), (7.0D0,8.0D0), + + (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0), + + (7.0D0,8.0D0), (0.3D0,0.1D0), (0.1D0,0.4D0), + + (0.4D0,0.1D0), (0.1D0,0.2D0), (2.0D0,3.0D0), + + (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0)/ + DATA ((CV(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (0.3D0,-0.4D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (0.1D0,-0.3D0), (8.0D0,9.0D0), (0.5D0,-0.1D0), + + (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0), + + (2.0D0,5.0D0), (2.0D0,5.0D0), (0.1D0,0.1D0), + + (3.0D0,6.0D0), (-0.6D0,0.1D0), (4.0D0,7.0D0), + + (0.1D0,-0.3D0), (7.0D0,2.0D0), (7.0D0,2.0D0), + + (7.0D0,2.0D0), (0.3D0,0.1D0), (5.0D0,8.0D0), + + (0.1D0,0.4D0), (6.0D0,9.0D0), (0.4D0,0.1D0), + + (8.0D0,3.0D0), (0.1D0,0.2D0), (9.0D0,4.0D0)/ + DATA STRUE2/0.0D0, 0.5D0, 0.6D0, 0.7D0, 0.7D0/ + DATA STRUE4/0.0D0, 0.7D0, 1.0D0, 1.3D0, 1.7D0/ + DATA ((CTRUE5(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (-0.16D0,-0.37D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (-0.17D0,-0.19D0), (0.13D0,-0.39D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0), + + (0.11D0,-0.03D0), (-0.17D0,0.46D0), + + (-0.17D0,-0.19D0), (7.0D0,8.0D0), (7.0D0,8.0D0), + + (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0), + + (0.19D0,-0.17D0), (0.32D0,0.09D0), + + (0.23D0,-0.24D0), (0.18D0,0.01D0), + + (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0), + + (2.0D0,3.0D0)/ + DATA ((CTRUE5(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (-0.16D0,-0.37D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (-0.17D0,-0.19D0), (8.0D0,9.0D0), + + (0.13D0,-0.39D0), (2.0D0,5.0D0), (2.0D0,5.0D0), + + (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0), + + (0.11D0,-0.03D0), (3.0D0,6.0D0), + + (-0.17D0,0.46D0), (4.0D0,7.0D0), + + (-0.17D0,-0.19D0), (7.0D0,2.0D0), (7.0D0,2.0D0), + + (7.0D0,2.0D0), (0.19D0,-0.17D0), (5.0D0,8.0D0), + + (0.32D0,0.09D0), (6.0D0,9.0D0), + + (0.23D0,-0.24D0), (8.0D0,3.0D0), + + (0.18D0,0.01D0), (9.0D0,4.0D0)/ + DATA ((CTRUE6(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0), + + (1.0D0,2.0D0), (0.09D0,-0.12D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0), + + (0.03D0,-0.09D0), (0.15D0,-0.03D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0), + + (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0), + + (0.03D0,0.03D0), (-0.18D0,0.03D0), + + (0.03D0,-0.09D0), (7.0D0,8.0D0), (7.0D0,8.0D0), + + (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0), + + (0.09D0,0.03D0), (0.03D0,0.12D0), + + (0.12D0,0.03D0), (0.03D0,0.06D0), (2.0D0,3.0D0), + + (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0)/ + DATA ((CTRUE6(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0), + + (4.0D0,5.0D0), (0.09D0,-0.12D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0), + + (0.03D0,-0.09D0), (8.0D0,9.0D0), + + (0.15D0,-0.03D0), (2.0D0,5.0D0), (2.0D0,5.0D0), + + (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0), + + (0.03D0,0.03D0), (3.0D0,6.0D0), + + (-0.18D0,0.03D0), (4.0D0,7.0D0), + + (0.03D0,-0.09D0), (7.0D0,2.0D0), (7.0D0,2.0D0), + + (7.0D0,2.0D0), (0.09D0,0.03D0), (5.0D0,8.0D0), + + (0.03D0,0.12D0), (6.0D0,9.0D0), (0.12D0,0.03D0), + + (8.0D0,3.0D0), (0.03D0,0.06D0), (9.0D0,4.0D0)/ + DATA ITRUE3/0, 1, 2, 2, 2/ +* .. Executable Statements .. + DO 60 INCX = 1, 2 + DO 40 NP1 = 1, 5 + N = NP1 - 1 + LEN = 2*MAX(N,1) +* .. Set vector arguments .. + DO 20 I = 1, LEN + CX(I) = CV(I,NP1,INCX) + 20 CONTINUE + IF (ICASE.EQ.6) THEN +* .. DZNRM2 .. + CALL STEST1(DZNRM2(N,CX,INCX),STRUE2(NP1),STRUE2(NP1), + + SFAC) + ELSE IF (ICASE.EQ.7) THEN +* .. DZASUM .. + CALL STEST1(DZASUM(N,CX,INCX),STRUE4(NP1),STRUE4(NP1), + + SFAC) + ELSE IF (ICASE.EQ.8) THEN +* .. ZSCAL .. + CALL ZSCAL(N,CA,CX,INCX) + CALL CTEST(LEN,CX,CTRUE5(1,NP1,INCX),CTRUE5(1,NP1,INCX), + + SFAC) + ELSE IF (ICASE.EQ.9) THEN +* .. ZDSCAL .. + CALL ZDSCAL(N,SA,CX,INCX) + CALL CTEST(LEN,CX,CTRUE6(1,NP1,INCX),CTRUE6(1,NP1,INCX), + + SFAC) + ELSE IF (ICASE.EQ.10) THEN +* .. IZAMAX .. + CALL ITEST1(IZAMAX(N,CX,INCX),ITRUE3(NP1)) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK1' + STOP + END IF +* + 40 CONTINUE + 60 CONTINUE +* + INCX = 1 + IF (ICASE.EQ.8) THEN +* ZSCAL +* Add a test for alpha equal to zero. + CA = (0.0D0,0.0D0) + DO 80 I = 1, 5 + MWPCT(I) = (0.0D0,0.0D0) + MWPCS(I) = (1.0D0,1.0D0) + 80 CONTINUE + CALL ZSCAL(5,CA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) + ELSE IF (ICASE.EQ.9) THEN +* ZDSCAL +* Add a test for alpha equal to zero. + SA = 0.0D0 + DO 100 I = 1, 5 + MWPCT(I) = (0.0D0,0.0D0) + MWPCS(I) = (1.0D0,1.0D0) + 100 CONTINUE + CALL ZDSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) +* Add a test for alpha equal to one. + SA = 1.0D0 + DO 120 I = 1, 5 + MWPCT(I) = CX(I) + MWPCS(I) = CX(I) + 120 CONTINUE + CALL ZDSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) +* Add a test for alpha equal to minus one. + SA = -1.0D0 + DO 140 I = 1, 5 + MWPCT(I) = -CX(I) + MWPCS(I) = -CX(I) + 140 CONTINUE + CALL ZDSCAL(5,SA,CX,INCX) + CALL CTEST(5,CX,MWPCT,MWPCS,SFAC) + END IF + RETURN + END + SUBROUTINE CHECK2(SFAC) +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + COMPLEX*16 CA + INTEGER I, J, KI, KN, KSIZE, LENX, LENY, MX, MY +* .. Local Arrays .. + COMPLEX*16 CDOT(1), CSIZE1(4), CSIZE2(7,2), CSIZE3(14), + + CT10X(7,4,4), CT10Y(7,4,4), CT6(4,4), CT7(4,4), + + CT8(7,4,4), CX(7), CX1(7), CY(7), CY1(7) + INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4) +* .. External Functions .. + COMPLEX*16 ZDOTC, ZDOTU + EXTERNAL ZDOTC, ZDOTU +* .. External Subroutines .. + EXTERNAL ZAXPY, ZCOPY, ZSWAP, CTEST +* .. Intrinsic Functions .. + INTRINSIC ABS, MIN +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Data statements .. + DATA CA/(0.4D0,-0.7D0)/ + DATA INCXS/1, 2, -2, -1/ + DATA INCYS/1, -2, 1, -2/ + DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/ + DATA NS/0, 1, 2, 4/ + DATA CX1/(0.7D0,-0.8D0), (-0.4D0,-0.7D0), + + (-0.1D0,-0.9D0), (0.2D0,-0.8D0), + + (-0.9D0,-0.4D0), (0.1D0,0.4D0), (-0.6D0,0.6D0)/ + DATA CY1/(0.6D0,-0.6D0), (-0.9D0,0.5D0), + + (0.7D0,-0.6D0), (0.1D0,-0.5D0), (-0.1D0,-0.2D0), + + (-0.5D0,-0.3D0), (0.8D0,-0.7D0)/ + DATA ((CT8(I,J,1),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.32D0,-1.41D0), + + (-1.55D0,0.5D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.32D0,-1.41D0), (-1.55D0,0.5D0), + + (0.03D0,-0.89D0), (-0.38D0,-0.96D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/ + DATA ((CT8(I,J,2),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (-0.07D0,-0.89D0), + + (-0.9D0,0.5D0), (0.42D0,-1.41D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.78D0,0.06D0), (-0.9D0,0.5D0), + + (0.06D0,-0.13D0), (0.1D0,-0.5D0), + + (-0.77D0,-0.49D0), (-0.5D0,-0.3D0), + + (0.52D0,-1.51D0)/ + DATA ((CT8(I,J,3),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (-0.07D0,-0.89D0), + + (-1.18D0,-0.31D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.78D0,0.06D0), (-1.54D0,0.97D0), + + (0.03D0,-0.89D0), (-0.18D0,-1.31D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/ + DATA ((CT8(I,J,4),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.32D0,-1.41D0), (-0.9D0,0.5D0), + + (0.05D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.32D0,-1.41D0), + + (-0.9D0,0.5D0), (0.05D0,-0.6D0), (0.1D0,-0.5D0), + + (-0.77D0,-0.49D0), (-0.5D0,-0.3D0), + + (0.32D0,-1.16D0)/ + DATA CT7/(0.0D0,0.0D0), (-0.06D0,-0.90D0), + + (0.65D0,-0.47D0), (-0.34D0,-1.22D0), + + (0.0D0,0.0D0), (-0.06D0,-0.90D0), + + (-0.59D0,-1.46D0), (-1.04D0,-0.04D0), + + (0.0D0,0.0D0), (-0.06D0,-0.90D0), + + (-0.83D0,0.59D0), (0.07D0,-0.37D0), + + (0.0D0,0.0D0), (-0.06D0,-0.90D0), + + (-0.76D0,-1.15D0), (-1.33D0,-1.82D0)/ + DATA CT6/(0.0D0,0.0D0), (0.90D0,0.06D0), + + (0.91D0,-0.77D0), (1.80D0,-0.10D0), + + (0.0D0,0.0D0), (0.90D0,0.06D0), (1.45D0,0.74D0), + + (0.20D0,0.90D0), (0.0D0,0.0D0), (0.90D0,0.06D0), + + (-0.55D0,0.23D0), (0.83D0,-0.39D0), + + (0.0D0,0.0D0), (0.90D0,0.06D0), (1.04D0,0.79D0), + + (1.95D0,1.22D0)/ + DATA ((CT10X(I,J,1),I=1,7),J=1,4)/(0.7D0,-0.8D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.6D0,-0.6D0), (-0.9D0,0.5D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.6D0,-0.6D0), + + (-0.9D0,0.5D0), (0.7D0,-0.6D0), (0.1D0,-0.5D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/ + DATA ((CT10X(I,J,2),I=1,7),J=1,4)/(0.7D0,-0.8D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.7D0,-0.6D0), (-0.4D0,-0.7D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.8D0,-0.7D0), + + (-0.4D0,-0.7D0), (-0.1D0,-0.2D0), + + (0.2D0,-0.8D0), (0.7D0,-0.6D0), (0.1D0,0.4D0), + + (0.6D0,-0.6D0)/ + DATA ((CT10X(I,J,3),I=1,7),J=1,4)/(0.7D0,-0.8D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (-0.9D0,0.5D0), (-0.4D0,-0.7D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.1D0,-0.5D0), + + (-0.4D0,-0.7D0), (0.7D0,-0.6D0), (0.2D0,-0.8D0), + + (-0.9D0,0.5D0), (0.1D0,0.4D0), (0.6D0,-0.6D0)/ + DATA ((CT10X(I,J,4),I=1,7),J=1,4)/(0.7D0,-0.8D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.6D0,-0.6D0), (0.7D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.6D0,-0.6D0), + + (0.7D0,-0.6D0), (-0.1D0,-0.2D0), (0.8D0,-0.7D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/ + DATA ((CT10Y(I,J,1),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.7D0,-0.8D0), (-0.4D0,-0.7D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.7D0,-0.8D0), + + (-0.4D0,-0.7D0), (-0.1D0,-0.9D0), + + (0.2D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0)/ + DATA ((CT10Y(I,J,2),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (-0.1D0,-0.9D0), (-0.9D0,0.5D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (-0.6D0,0.6D0), + + (-0.9D0,0.5D0), (-0.9D0,-0.4D0), (0.1D0,-0.5D0), + + (-0.1D0,-0.9D0), (-0.5D0,-0.3D0), + + (0.7D0,-0.8D0)/ + DATA ((CT10Y(I,J,3),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (-0.1D0,-0.9D0), (0.7D0,-0.8D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (-0.6D0,0.6D0), + + (-0.9D0,-0.4D0), (-0.1D0,-0.9D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0)/ + DATA ((CT10Y(I,J,4),I=1,7),J=1,4)/(0.6D0,-0.6D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.7D0,-0.8D0), (-0.9D0,0.5D0), + + (-0.4D0,-0.7D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.7D0,-0.8D0), + + (-0.9D0,0.5D0), (-0.4D0,-0.7D0), (0.1D0,-0.5D0), + + (-0.1D0,-0.9D0), (-0.5D0,-0.3D0), + + (0.2D0,-0.8D0)/ + DATA CSIZE1/(0.0D0,0.0D0), (0.9D0,0.9D0), + + (1.63D0,1.73D0), (2.90D0,2.78D0)/ + DATA CSIZE3/(0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (1.17D0,1.17D0), + + (1.17D0,1.17D0), (1.17D0,1.17D0), + + (1.17D0,1.17D0), (1.17D0,1.17D0), + + (1.17D0,1.17D0), (1.17D0,1.17D0)/ + DATA CSIZE2/(0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0), + + (0.0D0,0.0D0), (0.0D0,0.0D0), (1.54D0,1.54D0), + + (1.54D0,1.54D0), (1.54D0,1.54D0), + + (1.54D0,1.54D0), (1.54D0,1.54D0), + + (1.54D0,1.54D0), (1.54D0,1.54D0)/ +* .. Executable Statements .. + DO 60 KI = 1, 4 + INCX = INCXS(KI) + INCY = INCYS(KI) + MX = ABS(INCX) + MY = ABS(INCY) +* + DO 40 KN = 1, 4 + N = NS(KN) + KSIZE = MIN(2,KN) + LENX = LENS(KN,MX) + LENY = LENS(KN,MY) +* .. initialize all argument arrays .. + DO 20 I = 1, 7 + CX(I) = CX1(I) + CY(I) = CY1(I) + 20 CONTINUE + IF (ICASE.EQ.1) THEN +* .. ZDOTC .. + CDOT(1) = ZDOTC(N,CX,INCX,CY,INCY) + CALL CTEST(1,CDOT,CT6(KN,KI),CSIZE1(KN),SFAC) + ELSE IF (ICASE.EQ.2) THEN +* .. ZDOTU .. + CDOT(1) = ZDOTU(N,CX,INCX,CY,INCY) + CALL CTEST(1,CDOT,CT7(KN,KI),CSIZE1(KN),SFAC) + ELSE IF (ICASE.EQ.3) THEN +* .. ZAXPY .. + CALL ZAXPY(N,CA,CX,INCX,CY,INCY) + CALL CTEST(LENY,CY,CT8(1,KN,KI),CSIZE2(1,KSIZE),SFAC) + ELSE IF (ICASE.EQ.4) THEN +* .. ZCOPY .. + CALL ZCOPY(N,CX,INCX,CY,INCY) + CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0D0) + ELSE IF (ICASE.EQ.5) THEN +* .. ZSWAP .. + CALL ZSWAP(N,CX,INCX,CY,INCY) + CALL CTEST(LENX,CX,CT10X(1,KN,KI),CSIZE3,1.0D0) + CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0D0) + ELSE + WRITE (NOUT,*) ' Shouldn''t be here in CHECK2' + STOP + END IF +* + 40 CONTINUE + 60 CONTINUE + RETURN + END + SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC) +* ********************************* STEST ************************** +* +* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO +* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE +* NEGLIGIBLE. +* +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC + INTEGER LEN +* .. Array Arguments .. + DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN) +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + DOUBLE PRECISION SD + INTEGER I +* .. External Functions .. + DOUBLE PRECISION SDIFF + EXTERNAL SDIFF +* .. Intrinsic Functions .. + INTRINSIC ABS +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Executable Statements .. +* + DO 40 I = 1, LEN + SD = SCOMP(I) - STRUE(I) + IF (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0D0) + + GO TO 40 +* +* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I). +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, I, SCOMP(I), + + STRUE(I), SD, SSIZE(I) + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY MODE I ', + + ' COMP(I) TRUE(I) DIFFERENCE', + + ' SIZE(I)',/1X) +99997 FORMAT (1X,I4,I3,3I5,I3,2D36.8,2D12.4) + END + SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC) +* ************************* STEST1 ***************************** +* +* THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN +* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE +* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT. +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + DOUBLE PRECISION SCOMP1, SFAC, STRUE1 +* .. Array Arguments .. + DOUBLE PRECISION SSIZE(*) +* .. Local Arrays .. + DOUBLE PRECISION SCOMP(1), STRUE(1) +* .. External Subroutines .. + EXTERNAL STEST +* .. Executable Statements .. +* + SCOMP(1) = SCOMP1 + STRUE(1) = STRUE1 + CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC) +* + RETURN + END + DOUBLE PRECISION FUNCTION SDIFF(SA,SB) +* ********************************* SDIFF ************************** +* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15 +* +* .. Scalar Arguments .. + DOUBLE PRECISION SA, SB +* .. Executable Statements .. + SDIFF = SA - SB + RETURN + END + SUBROUTINE CTEST(LEN,CCOMP,CTRUE,CSIZE,SFAC) +* **************************** CTEST ***************************** +* +* C.L. LAWSON, JPL, 1978 DEC 6 +* +* .. Scalar Arguments .. + DOUBLE PRECISION SFAC + INTEGER LEN +* .. Array Arguments .. + COMPLEX*16 CCOMP(LEN), CSIZE(LEN), CTRUE(LEN) +* .. Local Scalars .. + INTEGER I +* .. Local Arrays .. + DOUBLE PRECISION SCOMP(20), SSIZE(20), STRUE(20) +* .. External Subroutines .. + EXTERNAL STEST +* .. Intrinsic Functions .. + INTRINSIC DIMAG, DBLE +* .. Executable Statements .. + DO 20 I = 1, LEN + SCOMP(2*I-1) = DBLE(CCOMP(I)) + SCOMP(2*I) = DIMAG(CCOMP(I)) + STRUE(2*I-1) = DBLE(CTRUE(I)) + STRUE(2*I) = DIMAG(CTRUE(I)) + SSIZE(2*I-1) = DBLE(CSIZE(I)) + SSIZE(2*I) = DIMAG(CSIZE(I)) + 20 CONTINUE +* + CALL STEST(2*LEN,SCOMP,STRUE,SSIZE,SFAC) + RETURN + END + SUBROUTINE ITEST1(ICOMP,ITRUE) +* ********************************* ITEST1 ************************* +* +* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR +* EQUALITY. +* C. L. LAWSON, JPL, 1974 DEC 10 +* +* .. Parameters .. + INTEGER NOUT + PARAMETER (NOUT=6) +* .. Scalar Arguments .. + INTEGER ICOMP, ITRUE +* .. Scalars in Common .. + INTEGER ICASE, INCX, INCY, MODE, N + LOGICAL PASS +* .. Local Scalars .. + INTEGER ID +* .. Common blocks .. + COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS +* .. Executable Statements .. + IF (ICOMP.EQ.ITRUE) GO TO 40 +* +* HERE ICOMP IS NOT EQUAL TO ITRUE. +* + IF ( .NOT. PASS) GO TO 20 +* PRINT FAIL MESSAGE AND HEADER. + PASS = .FALSE. + WRITE (NOUT,99999) + WRITE (NOUT,99998) + 20 ID = ICOMP - ITRUE + WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, ICOMP, ITRUE, ID + 40 CONTINUE + RETURN +* +99999 FORMAT (' FAIL') +99998 FORMAT (/' CASE N INCX INCY MODE ', + + ' COMP TRUE DIFFERENCE', + + /1X) +99997 FORMAT (1X,I4,I3,3I5,2I36,I12) + END diff --git a/eigen/blas/testing/zblat2.dat b/eigen/blas/testing/zblat2.dat new file mode 100644 index 0000000..c922440 --- /dev/null +++ b/eigen/blas/testing/zblat2.dat @@ -0,0 +1,35 @@ +'zblat2.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'cbla2t.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +T LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +4 NUMBER OF VALUES OF K +0 1 2 4 VALUES OF K +4 NUMBER OF VALUES OF INCX AND INCY +1 2 -1 -2 VALUES OF INCX AND INCY +3 NUMBER OF VALUES OF ALPHA +(0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +(0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +ZGEMV T PUT F FOR NO TEST. SAME COLUMNS. +ZGBMV T PUT F FOR NO TEST. SAME COLUMNS. +ZHEMV T PUT F FOR NO TEST. SAME COLUMNS. +ZHBMV T PUT F FOR NO TEST. SAME COLUMNS. +ZHPMV T PUT F FOR NO TEST. SAME COLUMNS. +ZTRMV T PUT F FOR NO TEST. SAME COLUMNS. +ZTBMV T PUT F FOR NO TEST. SAME COLUMNS. +ZTPMV T PUT F FOR NO TEST. SAME COLUMNS. +ZTRSV T PUT F FOR NO TEST. SAME COLUMNS. +ZTBSV T PUT F FOR NO TEST. SAME COLUMNS. +ZTPSV T PUT F FOR NO TEST. SAME COLUMNS. +ZGERC T PUT F FOR NO TEST. SAME COLUMNS. +ZGERU T PUT F FOR NO TEST. SAME COLUMNS. +ZHER T PUT F FOR NO TEST. SAME COLUMNS. +ZHPR T PUT F FOR NO TEST. SAME COLUMNS. +ZHER2 T PUT F FOR NO TEST. SAME COLUMNS. +ZHPR2 T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/zblat2.f b/eigen/blas/testing/zblat2.f new file mode 100644 index 0000000..e65cdcc --- /dev/null +++ b/eigen/blas/testing/zblat2.f @@ -0,0 +1,3249 @@ + PROGRAM ZBLAT2 +* +* Test program for the COMPLEX*16 Level 2 Blas. +* +* The program must be driven by a short data file. The first 18 records +* of the file are read using list-directed input, the last 17 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 35 lines: +* 'ZBLAT2.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'CBLA2T.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 4 NUMBER OF VALUES OF K +* 0 1 2 4 VALUES OF K +* 4 NUMBER OF VALUES OF INCX AND INCY +* 1 2 -1 -2 VALUES OF INCX AND INCY +* 3 NUMBER OF VALUES OF ALPHA +* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +* ZGEMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZGBMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZHEMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZHBMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZHPMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTRMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTBMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTPMV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTRSV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTBSV T PUT F FOR NO TEST. SAME COLUMNS. +* ZTPSV T PUT F FOR NO TEST. SAME COLUMNS. +* ZGERC T PUT F FOR NO TEST. SAME COLUMNS. +* ZGERU T PUT F FOR NO TEST. SAME COLUMNS. +* ZHER T PUT F FOR NO TEST. SAME COLUMNS. +* ZHPR T PUT F FOR NO TEST. SAME COLUMNS. +* ZHER2 T PUT F FOR NO TEST. SAME COLUMNS. +* ZHPR2 T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J.. +* An extended set of Fortran Basic Linear Algebra Subprograms. +* +* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics +* and Computer Science Division, Argonne National Laboratory, +* 9700 South Cass Avenue, Argonne, Illinois 60439, US. +* +* Or +* +* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms +* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford +* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st +* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA. +* +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 17 ) + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO, RHALF, RONE + PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 ) + INTEGER NMAX, INCMAX + PARAMETER ( NMAX = 65, INCMAX = 2 ) + INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX + PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7, + $ NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + DOUBLE PRECISION EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB, + $ NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANS + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ), + $ X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( 2*NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + DOUBLE PRECISION DDIFF + LOGICAL LZE + EXTERNAL DDIFF, LZE +* .. External Subroutines .. + EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6, + $ ZCHKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'ZGEMV ', 'ZGBMV ', 'ZHEMV ', 'ZHBMV ', + $ 'ZHPMV ', 'ZTRMV ', 'ZTBMV ', 'ZTPMV ', + $ 'ZTRSV ', 'ZTBSV ', 'ZTPSV ', 'ZGERC ', + $ 'ZGERU ', 'ZHER ', 'ZHPR ', 'ZHER2 ', + $ 'ZHPR2 '/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 230 + END IF + 10 CONTINUE +* Values of K + READ( NIN, FMT = * )NKB + IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN + WRITE( NOUT, FMT = 9997 )'K', NKBMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( KB( I ), I = 1, NKB ) + DO 20 I = 1, NKB + IF( KB( I ).LT.0 )THEN + WRITE( NOUT, FMT = 9995 ) + GO TO 230 + END IF + 20 CONTINUE +* Values of INCX and INCY + READ( NIN, FMT = * )NINC + IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN + WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( INC( I ), I = 1, NINC ) + DO 30 I = 1, NINC + IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN + WRITE( NOUT, FMT = 9994 )INCMAX + GO TO 230 + END IF + 30 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 230 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9993 ) + WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB ) + WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC ) + WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9980 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 40 I = 1, NSUBS + LTEST( I ) = .FALSE. + 40 CONTINUE + 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT + DO 60 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 70 + 60 CONTINUE + WRITE( NOUT, FMT = 9986 )SNAMET + STOP + 70 LTEST( I ) = LTESTT + GO TO 50 +* + 80 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = RONE + 90 CONTINUE + IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO ) + $ GO TO 100 + EPS = RHALF*EPS + GO TO 90 + 100 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of ZMVCH using exact data. +* + N = MIN( 32, NMAX ) + DO 120 J = 1, N + DO 110 I = 1, N + A( I, J ) = MAX( I - J + 1, 0 ) + 110 CONTINUE + X( J ) = J + Y( J ) = ZERO + 120 CONTINUE + DO 130 J = 1, N + YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE +* YY holds the exact result. On exit from ZMVCH YT holds +* the result computed by ZMVCH. + TRANS = 'N' + CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF + TRANS = 'T' + CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( YY, YT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 210 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL ZCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 140, 150, 150, 150, 160, 160, + $ 160, 160, 160, 160, 170, 170, 180, + $ 180, 190, 190 )ISNUM +* Test ZGEMV, 01, and ZGBMV, 02. + 140 CALL ZCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05. + 150 CALL ZCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, + $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, + $ X, XX, XS, Y, YY, YS, YT, G ) + GO TO 200 +* Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08, +* ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11. + 160 CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z ) + GO TO 200 +* Test ZGERC, 12, ZGERU, 13. + 170 CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test ZHER, 14, and ZHPR, 15. + 180 CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) + GO TO 200 +* Test ZHER2, 16, and ZHPR2, 17. + 190 CALL ZCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, + $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, + $ YT, G, Z ) +* + 200 IF( FATAL.AND.SFATAL ) + $ GO TO 220 + END IF + 210 CONTINUE + WRITE( NOUT, FMT = 9982 ) + GO TO 240 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9981 ) + GO TO 240 +* + 230 CONTINUE + WRITE( NOUT, FMT = 9987 ) +* + 240 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) + 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', + $ I2 ) + 9993 FORMAT( ' TESTS OF THE COMPLEX*16 LEVEL 2 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9992 FORMAT( ' FOR N ', 9I6 ) + 9991 FORMAT( ' FOR K ', 7I6 ) + 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 ) + 9989 FORMAT( ' FOR ALPHA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9988 FORMAT( ' FOR BETA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9986 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9985 FORMAT( ' ERROR IN ZMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' ZMVCH WAS CALLED WITH TRANS = ', A1, + $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', / + $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.' + $ , /' ******* TESTS ABANDONED *******' ) + 9984 FORMAT( A6, L2 ) + 9983 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9982 FORMAT( /' END OF TESTS' ) + 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of ZBLAT2. +* + END + SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests ZGEMV and ZGBMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA, + $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK, + $ NL, NS + LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN + CHARACTER*1 TRANS, TRANSS + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZGBMV, ZGEMV, ZMAKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 11 + ELSE IF( BANDED )THEN + NARGS = 13 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IKU = 1, NK + IF( BANDED )THEN + KU = KB( IKU ) + KL = MAX( KU - 1, 0 ) + ELSE + KU = N - 1 + KL = M - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = KL + KU + 1 + ELSE + LDA = M + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA, + $ LDA, KL, KU, RESET, TRANSL ) +* + DO 90 IC = 1, 3 + TRANS = ICH( IC: IC ) + TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' +* + IF( TRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*NL +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, NL, X, 1, XX, + $ ABS( INCX ), 0, NL - 1, RESET, TRANSL ) + IF( NL.GT.1 )THEN + X( NL/2 ) = ZERO + XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*ML +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL ZMAKE( 'GE', ' ', ' ', 1, ML, Y, 1, + $ YY, ABS( INCY ), 0, ML - 1, + $ RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANSS = TRANS + MS = M + NS = N + KLS = KL + KUS = KU + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ TRANS, M, N, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL ZGEMV( TRANS, M, N, ALPHA, AA, + $ LDA, XX, INCX, BETA, YY, + $ INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANS, M, N, KL, KU, ALPHA, LDA, + $ INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL ZGBMV( TRANS, M, N, KL, KU, ALPHA, + $ AA, LDA, XX, INCX, BETA, + $ YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 130 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANS.EQ.TRANSS + ISAME( 2 ) = MS.EQ.M + ISAME( 3 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LZE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LZE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LZE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LZERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 4 ) = KLS.EQ.KL + ISAME( 5 ) = KUS.EQ.KU + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LZE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LZE( XS, XX, LX ) + ISAME( 10 ) = INCXS.EQ.INCX + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LZE( YS, YY, LY ) + ELSE + ISAME( 12 ) = LZERES( 'GE', ' ', 1, + $ ML, YS, YY, + $ ABS( INCY ) ) + END IF + ISAME( 13 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 130 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL ZMVCH( TRANS, M, N, ALPHA, A, + $ NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 130 + ELSE +* Avoid repeating tests with M.le.0 or +* N.le.0. + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 140 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, + $ ALPHA, LDA, INCX, BETA, INCY + END IF +* + 140 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK1. +* + END + SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, + $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, + $ XS, Y, YY, YS, YT, G ) +* +* Tests ZHEMV, ZHBMV and ZHPMV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, + $ NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ), + $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), + $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY, + $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY, + $ N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHBMV, ZHEMV, ZHPMV, ZMAKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 10 + ELSE IF( BANDED )THEN + NARGS = 11 + ELSE IF( PACKED )THEN + NARGS = 9 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA, + $ LDA, K, K, RESET, TRANSL ) +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL ZMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + UPLOS = UPLO + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + BLS = BETA + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, N, ALPHA, LDA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL ZHEMV( UPLO, N, ALPHA, AA, LDA, XX, + $ INCX, BETA, YY, INCY ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, N, K, ALPHA, LDA, INCX, BETA, + $ INCY + IF( REWI ) + $ REWIND NTRA + CALL ZHBMV( UPLO, N, K, ALPHA, AA, LDA, + $ XX, INCX, BETA, YY, INCY ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, N, ALPHA, INCX, BETA, INCY + IF( REWI ) + $ REWIND NTRA + CALL ZHPMV( UPLO, N, ALPHA, AA, XX, INCX, + $ BETA, YY, INCY ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LZE( AS, AA, LAA ) + ISAME( 5 ) = LDAS.EQ.LDA + ISAME( 6 ) = LZE( XS, XX, LX ) + ISAME( 7 ) = INCXS.EQ.INCX + ISAME( 8 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 9 ) = LZE( YS, YY, LY ) + ELSE + ISAME( 9 ) = LZERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 10 ) = INCYS.EQ.INCY + ELSE IF( BANDED )THEN + ISAME( 3 ) = KS.EQ.K + ISAME( 4 ) = ALS.EQ.ALPHA + ISAME( 5 ) = LZE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + ISAME( 7 ) = LZE( XS, XX, LX ) + ISAME( 8 ) = INCXS.EQ.INCX + ISAME( 9 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 10 ) = LZE( YS, YY, LY ) + ELSE + ISAME( 10 ) = LZERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 11 ) = INCYS.EQ.INCY + ELSE IF( PACKED )THEN + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LZE( AS, AA, LAA ) + ISAME( 5 ) = LZE( XS, XX, LX ) + ISAME( 6 ) = INCXS.EQ.INCX + ISAME( 7 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 8 ) = LZE( YS, YY, LY ) + ELSE + ISAME( 8 ) = LZERES( 'GE', ' ', 1, N, + $ YS, YY, ABS( INCY ) ) + END IF + ISAME( 9 ) = INCYS.EQ.INCY + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X, + $ INCX, BETA, Y, INCY, YT, G, + $ YY, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0 + GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX, + $ BETA, INCY + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA, + $ INCX, BETA, INCY + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ BETA, INCY + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), AP, X,', I2, ',(', F4.1, ',', F4.1, '), Y,', I2, + $ ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(', + $ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', + $ F4.1, '), Y,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', F4.1, '), ', + $ 'Y,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK2. +* + END + SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z ) +* +* Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB ) +* .. Local Scalars .. + COMPLEX*16 TRANSL + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K, + $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS + LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME + CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS + CHARACTER*2 ICHD, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZMAKE, ZMVCH, ZTBMV, ZTBSV, ZTPMV, ZTPSV, + $ ZTRMV, ZTRSV +* .. Intrinsic Functions .. + INTRINSIC ABS, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'R' + BANDED = SNAME( 3: 3 ).EQ.'B' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 8 + ELSE IF( BANDED )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 7 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* Set up zero vector for ZMVCH. + DO 10 I = 1, NMAX + Z( I ) = ZERO + 10 CONTINUE +* + DO 110 IN = 1, NIDIM + N = IDIM( IN ) +* + IF( BANDED )THEN + NK = NKB + ELSE + NK = 1 + END IF + DO 100 IK = 1, NK + IF( BANDED )THEN + K = KB( IK ) + ELSE + K = N - 1 + END IF +* Set LDA to 1 more than minimum value if room. + IF( BANDED )THEN + LDA = K + 1 + ELSE + LDA = N + END IF + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF + NULL = N.LE.0 +* + DO 90 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 80 ICT = 1, 3 + TRANS = ICHT( ICT: ICT ) +* + DO 70 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A, + $ NMAX, AA, LDA, K, K, RESET, TRANSL ) +* + DO 60 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, + $ ABS( INCX ), 0, N - 1, RESET, + $ TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + DIAGS = DIAG + NS = N + KS = K + DO 20 I = 1, LAA + AS( I ) = AA( I ) + 20 CONTINUE + LDAS = LDA + DO 30 I = 1, LX + XS( I ) = XX( I ) + 30 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTRMV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTBMV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTPMV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTRSV( UPLO, TRANS, DIAG, N, AA, LDA, + $ XX, INCX ) + ELSE IF( BANDED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, K, LDA, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTBSV( UPLO, TRANS, DIAG, N, K, AA, + $ LDA, XX, INCX ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ UPLO, TRANS, DIAG, N, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZTPSV( UPLO, TRANS, DIAG, N, AA, XX, + $ INCX ) + END IF + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = TRANS.EQ.TRANSS + ISAME( 3 ) = DIAG.EQ.DIAGS + ISAME( 4 ) = NS.EQ.N + IF( FULL )THEN + ISAME( 5 ) = LZE( AS, AA, LAA ) + ISAME( 6 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 7 ) = LZE( XS, XX, LX ) + ELSE + ISAME( 7 ) = LZERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 8 ) = INCXS.EQ.INCX + ELSE IF( BANDED )THEN + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = LZE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 8 ) = LZE( XS, XX, LX ) + ELSE + ISAME( 8 ) = LZERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 9 ) = INCXS.EQ.INCX + ELSE IF( PACKED )THEN + ISAME( 5 ) = LZE( AS, AA, LAA ) + IF( NULL )THEN + ISAME( 6 ) = LZE( XS, XX, LX ) + ELSE + ISAME( 6 ) = LZERES( 'GE', ' ', 1, N, XS, + $ XX, ABS( INCX ) ) + END IF + ISAME( 7 ) = INCXS.EQ.INCX + END IF +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MV' )THEN +* +* Check the result. +* + CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, + $ INCX, ZERO, Z, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN +* +* Compute approximation to original vector. +* + DO 50 I = 1, N + Z( I ) = XX( 1 + ( I - 1 )* + $ ABS( INCX ) ) + XX( 1 + ( I - 1 )*ABS( INCX ) ) + $ = X( I ) + 50 CONTINUE + CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, Z, + $ INCX, ZERO, X, INCX, XT, G, + $ XX, EPS, ERR, FATAL, NOUT, + $ .FALSE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 120 + ELSE +* Avoid repeating tests with N.le.0. + GO TO 110 + END IF +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA, + $ INCX + ELSE IF( BANDED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K, + $ LDA, INCX + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ', + $ 'X,', I2, ') .' ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ), + $ ' A,', I3, ', X,', I2, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,', + $ I3, ', X,', I2, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK3. +* + END + SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests ZGERC and ZGERU. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, TRANSL + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS, + $ NC, ND, NS + LOGICAL CONJ, NULL, RESET, SAME +* .. Local Arrays .. + COMPLEX*16 W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZGERC, ZGERU, ZMAKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, DCONJG, MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. + CONJ = SNAME( 5: 5 ).EQ.'C' +* Define the number of arguments. + NARGS = 9 +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 120 IN = 1, NIDIM + N = IDIM( IN ) + ND = N/2 + 1 +* + DO 110 IM = 1, 2 + IF( IM.EQ.1 ) + $ M = MAX( N - ND, 0 ) + IF( IM.EQ.2 ) + $ M = MIN( N + ND, NMAX ) +* +* Set LDA to 1 more than minimum value if room. + LDA = M + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 100 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*M +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ), + $ 0, M - 1, RESET, TRANSL ) + IF( M.GT.1 )THEN + X( M/2 ) = ZERO + XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO + END IF +* + DO 90 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL ZMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, + $ AA, LDA, M - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N, + $ ALPHA, INCX, INCY, LDA + IF( CONJ )THEN + IF( REWI ) + $ REWIND NTRA + CALL ZGERC( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) + ELSE + IF( REWI ) + $ REWIND NTRA + CALL ZGERU( M, N, ALPHA, XX, INCX, YY, INCY, AA, + $ LDA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9993 ) + FATAL = .TRUE. + GO TO 140 + END IF +* +* See what data changed inside subroutine. +* + ISAME( 1 ) = MS.EQ.M + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LZE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LZE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LZE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LZERES( 'GE', ' ', M, N, AS, AA, + $ LDA ) + END IF + ISAME( 9 ) = LDAS.EQ.LDA +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 140 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, M + Z( I ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, M + Z( I ) = X( M - I + 1 ) + 60 CONTINUE + END IF + DO 70 J = 1, N + IF( INCY.GT.0 )THEN + W( 1 ) = Y( J ) + ELSE + W( 1 ) = Y( N - J + 1 ) + END IF + IF( CONJ ) + $ W( 1 ) = DCONJG( W( 1 ) ) + CALL ZMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1, + $ ONE, A( 1, J ), 1, YT, G, + $ AA( 1 + ( J - 1 )*LDA ), EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 130 + 70 CONTINUE + ELSE +* Avoid repeating tests with M.le.0 or N.le.0. + GO TO 110 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 150 +* + 130 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 140 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA +* + 150 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1, + $ '), X,', I2, ', Y,', I2, ', A,', I3, ') ', + $ ' .' ) + 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK4. +* + END + SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests ZHER and ZHPR. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, TRANSL + DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS + INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA, + $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + COMPLEX*16 W( 1 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHER, ZHPR, ZMAKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, DBLE, DCMPLX, DCONJG, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 7 + ELSE IF( PACKED )THEN + NARGS = 6 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 100 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 90 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 80 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 70 IA = 1, NALF + RALPHA = DBLE( ALF( IA ) ) + ALPHA = DCMPLX( RALPHA, RZERO ) + NULL = N.LE.0.OR.RALPHA.EQ.RZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, + $ AA, LDA, N - 1, N - 1, RESET, TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + RALS = RALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ RALPHA, INCX, LDA + IF( REWI ) + $ REWIND NTRA + CALL ZHER( UPLO, N, RALPHA, XX, INCX, AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ RALPHA, INCX + IF( REWI ) + $ REWIND NTRA + CALL ZHPR( UPLO, N, RALPHA, XX, INCX, AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = RALS.EQ.RALPHA + ISAME( 4 ) = LZE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + IF( NULL )THEN + ISAME( 6 ) = LZE( AS, AA, LAA ) + ELSE + ISAME( 6 ) = LZERES( SNAME( 2: 3 ), UPLO, N, N, AS, + $ AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 7 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 40 I = 1, N + Z( I ) = X( I ) + 40 CONTINUE + ELSE + DO 50 I = 1, N + Z( I ) = X( N - I + 1 ) + 50 CONTINUE + END IF + JA = 1 + DO 60 J = 1, N + W( 1 ) = DCONJG( Z( J ) ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL ZMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W, + $ 1, ONE, A( JJ, J ), 1, YT, G, + $ AA( JA ), EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 110 + 60 CONTINUE + ELSE +* Avoid repeating tests if N.le.0. + IF( N.LE.0 ) + $ GO TO 100 + END IF +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, RALPHA, INCX, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, RALPHA, INCX + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', AP) .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', + $ I2, ', A,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK5. +* + END + SUBROUTINE ZCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, + $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, + $ Z ) +* +* Tests ZHER2 and ZHPR2. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, HALF, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ HALF = ( 0.5D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ), + $ XX( NMAX*INCMAX ), Y( NMAX ), + $ YS( NMAX*INCMAX ), YT( NMAX ), + $ YY( NMAX*INCMAX ), Z( NMAX, 2 ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ), INC( NINC ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, TRANSL + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX, + $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N, + $ NARGS, NC, NS + LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER + CHARACTER*1 UPLO, UPLOS + CHARACTER*2 ICH +* .. Local Arrays .. + COMPLEX*16 W( 2 ) + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHER2, ZHPR2, ZMAKE, ZMVCH +* .. Intrinsic Functions .. + INTRINSIC ABS, DCONJG, MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'UL'/ +* .. Executable Statements .. + FULL = SNAME( 3: 3 ).EQ.'E' + PACKED = SNAME( 3: 3 ).EQ.'P' +* Define the number of arguments. + IF( FULL )THEN + NARGS = 9 + ELSE IF( PACKED )THEN + NARGS = 8 + END IF +* + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 140 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDA to 1 more than minimum value if room. + LDA = N + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 140 + IF( PACKED )THEN + LAA = ( N*( N + 1 ) )/2 + ELSE + LAA = LDA*N + END IF +* + DO 130 IC = 1, 2 + UPLO = ICH( IC: IC ) + UPPER = UPLO.EQ.'U' +* + DO 120 IX = 1, NINC + INCX = INC( IX ) + LX = ABS( INCX )*N +* +* Generate the vector X. +* + TRANSL = HALF + CALL ZMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), + $ 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + X( N/2 ) = ZERO + XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 110 IY = 1, NINC + INCY = INC( IY ) + LY = ABS( INCY )*N +* +* Generate the vector Y. +* + TRANSL = ZERO + CALL ZMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, + $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) + IF( N.GT.1 )THEN + Y( N/2 ) = ZERO + YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO + END IF +* + DO 100 IA = 1, NALF + ALPHA = ALF( IA ) + NULL = N.LE.0.OR.ALPHA.EQ.ZERO +* +* Generate the matrix A. +* + TRANSL = ZERO + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, + $ NMAX, AA, LDA, N - 1, N - 1, RESET, + $ TRANSL ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LX + XS( I ) = XX( I ) + 20 CONTINUE + INCXS = INCX + DO 30 I = 1, LY + YS( I ) = YY( I ) + 30 CONTINUE + INCYS = INCY +* +* Call the subroutine. +* + IF( FULL )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY, LDA + IF( REWI ) + $ REWIND NTRA + CALL ZHER2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA, LDA ) + ELSE IF( PACKED )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N, + $ ALPHA, INCX, INCY + IF( REWI ) + $ REWIND NTRA + CALL ZHPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, + $ AA ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 160 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLO.EQ.UPLOS + ISAME( 2 ) = NS.EQ.N + ISAME( 3 ) = ALS.EQ.ALPHA + ISAME( 4 ) = LZE( XS, XX, LX ) + ISAME( 5 ) = INCXS.EQ.INCX + ISAME( 6 ) = LZE( YS, YY, LY ) + ISAME( 7 ) = INCYS.EQ.INCY + IF( NULL )THEN + ISAME( 8 ) = LZE( AS, AA, LAA ) + ELSE + ISAME( 8 ) = LZERES( SNAME( 2: 3 ), UPLO, N, N, + $ AS, AA, LDA ) + END IF + IF( .NOT.PACKED )THEN + ISAME( 9 ) = LDAS.EQ.LDA + END IF +* +* If data was incorrectly changed, report and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 160 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( INCX.GT.0 )THEN + DO 50 I = 1, N + Z( I, 1 ) = X( I ) + 50 CONTINUE + ELSE + DO 60 I = 1, N + Z( I, 1 ) = X( N - I + 1 ) + 60 CONTINUE + END IF + IF( INCY.GT.0 )THEN + DO 70 I = 1, N + Z( I, 2 ) = Y( I ) + 70 CONTINUE + ELSE + DO 80 I = 1, N + Z( I, 2 ) = Y( N - I + 1 ) + 80 CONTINUE + END IF + JA = 1 + DO 90 J = 1, N + W( 1 ) = ALPHA*DCONJG( Z( J, 2 ) ) + W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) ) + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + CALL ZMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ), + $ NMAX, W, 1, ONE, A( JJ, J ), 1, + $ YT, G, AA( JA ), EPS, ERR, FATAL, + $ NOUT, .TRUE. ) + IF( FULL )THEN + IF( UPPER )THEN + JA = JA + LDA + ELSE + JA = JA + LDA + 1 + END IF + ELSE + JA = JA + LJ + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and return. + IF( FATAL ) + $ GO TO 150 + 90 CONTINUE + ELSE +* Avoid repeating tests with N.le.0. + IF( N.LE.0 ) + $ GO TO 140 + END IF +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 170 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9995 )J +* + 160 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( FULL )THEN + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, + $ INCY, LDA + ELSE IF( PACKED )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY + END IF +* + 170 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), X,', I2, ', Y,', I2, ', AP) ', + $ ' .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',', + $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') ', + $ ' .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK6. +* + END + SUBROUTINE ZCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 2 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, RALPHA, BETA, A, X and Y should not need to be defined. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + COMPLEX*16 ALPHA, BETA + DOUBLE PRECISION RALPHA +* .. Local Arrays .. + COMPLEX*16 A( 1, 1 ), X( 1 ), Y( 1 ) +* .. External Subroutines .. + EXTERNAL CHKXER, ZGBMV, ZGEMV, ZGERC, ZGERU, ZHBMV, + $ ZHEMV, ZHER, ZHER2, ZHPMV, ZHPR, ZHPR2, ZTBMV, + $ ZTBSV, ZTPMV, ZTPSV, ZTRMV, ZTRSV +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90, 100, 110, 120, 130, 140, 150, 160, + $ 170 )ISNUM + 10 INFOT = 1 + CALL ZGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 20 INFOT = 1 + CALL ZGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 30 INFOT = 1 + CALL ZHEMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHEMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZHEMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 40 INFOT = 1 + CALL ZHBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZHBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZHBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZHBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 50 INFOT = 1 + CALL ZHPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZHPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 60 INFOT = 1 + CALL ZTRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 70 INFOT = 1 + CALL ZTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 80 INFOT = 1 + CALL ZTPMV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTPMV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTPMV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTPMV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZTPMV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 90 INFOT = 1 + CALL ZTRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 100 INFOT = 1 + CALL ZTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 110 INFOT = 1 + CALL ZTPSV( '/', 'N', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTPSV( 'U', '/', 'N', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTPSV( 'U', 'N', '/', 0, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTPSV( 'U', 'N', 'N', -1, A, X, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZTPSV( 'U', 'N', 'N', 0, A, X, 0 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 120 INFOT = 1 + CALL ZGERC( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGERC( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGERC( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZGERC( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZGERC( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 130 INFOT = 1 + CALL ZGERU( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGERU( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGERU( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZGERU( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZGERU( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 140 INFOT = 1 + CALL ZHER( '/', 0, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHER( 'U', -1, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZHER( 'U', 0, RALPHA, X, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER( 'U', 2, RALPHA, X, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 150 INFOT = 1 + CALL ZHPR( '/', 0, RALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHPR( 'U', -1, RALPHA, X, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZHPR( 'U', 0, RALPHA, X, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 160 INFOT = 1 + CALL ZHER2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHER2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZHER2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHER2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 180 + 170 INFOT = 1 + CALL ZHPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZHPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHPR2( 'U', 0, ALPHA, X, 1, Y, 0, A ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 180 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of ZCHKE. +* + END + SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL, + $ KU, RESET, TRANSL ) +* +* Generates values for an M by N matrix A within the bandwidth +* defined by KL and KU. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'GB', 'HE', 'HB', 'HP', 'TR', 'TB' OR 'TP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + COMPLEX*16 ROGUE + PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) + DOUBLE PRECISION RROGUE + PARAMETER ( RROGUE = -1.0D10 ) +* .. Scalar Arguments .. + COMPLEX*16 TRANSL + INTEGER KL, KU, LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX*16 A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK + LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + COMPLEX*16 ZBEG + EXTERNAL ZBEG +* .. Intrinsic Functions .. + INTRINSIC DBLE, DCMPLX, DCONJG, MAX, MIN +* .. Executable Statements .. + GEN = TYPE( 1: 1 ).EQ.'G' + SYM = TYPE( 1: 1 ).EQ.'H' + TRI = TYPE( 1: 1 ).EQ.'T' + UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + IF( ( I.LE.J.AND.J - I.LE.KU ).OR. + $ ( I.GE.J.AND.I - J.LE.KL ) )THEN + A( I, J ) = ZBEG( RESET ) + TRANSL + ELSE + A( I, J ) = ZERO + END IF + IF( I.NE.J )THEN + IF( SYM )THEN + A( J, I ) = DCONJG( A( I, J ) ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( SYM ) + $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO ) + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'GB' )THEN + DO 90 J = 1, N + DO 60 I1 = 1, KU + 1 - J + AA( I1 + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J ) + AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) + 70 CONTINUE + DO 80 I3 = I2, LDA + AA( I3 + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + 90 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'TR' )THEN + DO 130 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 100 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 100 CONTINUE + DO 110 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 110 CONTINUE + DO 120 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 120 CONTINUE + IF( SYM )THEN + JJ = J + ( J - 1 )*LDA + AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE ) + END IF + 130 CONTINUE + ELSE IF( TYPE.EQ.'HB'.OR.TYPE.EQ.'TB' )THEN + DO 170 J = 1, N + IF( UPPER )THEN + KK = KL + 1 + IBEG = MAX( 1, KL + 2 - J ) + IF( UNIT )THEN + IEND = KL + ELSE + IEND = KL + 1 + END IF + ELSE + KK = 1 + IF( UNIT )THEN + IBEG = 2 + ELSE + IBEG = 1 + END IF + IEND = MIN( KL + 1, 1 + M - J ) + END IF + DO 140 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 140 CONTINUE + DO 150 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) + 150 CONTINUE + DO 160 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 160 CONTINUE + IF( SYM )THEN + JJ = KK + ( J - 1 )*LDA + AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE ) + END IF + 170 CONTINUE + ELSE IF( TYPE.EQ.'HP'.OR.TYPE.EQ.'TP' )THEN + IOFF = 0 + DO 190 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 180 I = IBEG, IEND + IOFF = IOFF + 1 + AA( IOFF ) = A( I, J ) + IF( I.EQ.J )THEN + IF( UNIT ) + $ AA( IOFF ) = ROGUE + IF( SYM ) + $ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE ) + END IF + 180 CONTINUE + 190 CONTINUE + END IF + RETURN +* +* End of ZMAKE. +* + END + SUBROUTINE ZMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y, + $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Parameters .. + COMPLEX*16 ZERO + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO, RONE + PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 ) +* .. Scalar Arguments .. + COMPLEX*16 ALPHA, BETA + DOUBLE PRECISION EPS, ERR + INTEGER INCX, INCY, M, N, NMAX, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANS +* .. Array Arguments .. + COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * ) + DOUBLE PRECISION G( * ) +* .. Local Scalars .. + COMPLEX*16 C + DOUBLE PRECISION ERRI + INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL + LOGICAL CTRAN, TRAN +* .. Intrinsic Functions .. + INTRINSIC ABS, DBLE, DCONJG, DIMAG, MAX, SQRT +* .. Statement Functions .. + DOUBLE PRECISION ABS1 +* .. Statement Function definitions .. + ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) ) +* .. Executable Statements .. + TRAN = TRANS.EQ.'T' + CTRAN = TRANS.EQ.'C' + IF( TRAN.OR.CTRAN )THEN + ML = N + NL = M + ELSE + ML = M + NL = N + END IF + IF( INCX.LT.0 )THEN + KX = NL + INCXL = -1 + ELSE + KX = 1 + INCXL = 1 + END IF + IF( INCY.LT.0 )THEN + KY = ML + INCYL = -1 + ELSE + KY = 1 + INCYL = 1 + END IF +* +* Compute expected result in YT using data in A, X and Y. +* Compute gauges in G. +* + IY = KY + DO 40 I = 1, ML + YT( IY ) = ZERO + G( IY ) = RZERO + JX = KX + IF( TRAN )THEN + DO 10 J = 1, NL + YT( IY ) = YT( IY ) + A( J, I )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 10 CONTINUE + ELSE IF( CTRAN )THEN + DO 20 J = 1, NL + YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 20 CONTINUE + ELSE + DO 30 J = 1, NL + YT( IY ) = YT( IY ) + A( I, J )*X( JX ) + G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) ) + JX = JX + INCXL + 30 CONTINUE + END IF + YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY ) + G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) ) + IY = IY + INCYL + 40 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 50 I = 1, ML + ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS + IF( G( I ).NE.RZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.RONE ) + $ GO TO 60 + 50 CONTINUE +* If the loop completes, all results are at least half accurate. + GO TO 80 +* +* Report fatal error. +* + 60 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 70 I = 1, ML + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, YT( I ), + $ YY( 1 + ( I - 1 )*ABS( INCY ) ) + ELSE + WRITE( NOUT, FMT = 9998 )I, + $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I ) + END IF + 70 CONTINUE +* + 80 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RE', + $ 'SULT COMPUTED RESULT' ) + 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) ) +* +* End of ZMVCH. +* + END + LOGICAL FUNCTION LZE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + COMPLEX*16 RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LZE = .TRUE. + GO TO 30 + 20 CONTINUE + LZE = .FALSE. + 30 RETURN +* +* End of LZE. +* + END + LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE', 'HE' or 'HP'. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX*16 AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'HE' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LZERES = .TRUE. + GO TO 80 + 70 CONTINUE + LZERES = .FALSE. + 80 RETURN +* +* End of LZERES. +* + END + COMPLEX*16 FUNCTION ZBEG( RESET ) +* +* Generates complex numbers as pairs of random numbers uniformly +* distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, J, MI, MJ +* .. Save statement .. + SAVE I, IC, J, MI, MJ +* .. Intrinsic Functions .. + INTRINSIC DCMPLX +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + MJ = 457 + I = 7 + J = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I or J is bounded between 1 and 999. +* If initial I or J = 1,2,3,6,7 or 9, the period will be 50. +* If initial I or J = 4 or 8, the period will be 25. +* If initial I or J = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I or J +* in 6. +* + IC = IC + 1 + 10 I = I*MI + J = J*MJ + I = I - 1000*( I/1000 ) + J = J - 1000*( J/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + ZBEG = DCMPLX( ( I - 500 )/1001.0D0, ( J - 500 )/1001.0D0 ) + RETURN +* +* End of ZBEG. +* + END + DOUBLE PRECISION FUNCTION DDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* +* .. Scalar Arguments .. + DOUBLE PRECISION X, Y +* .. Executable Statements .. + DDIFF = X - Y + RETURN +* +* End of DDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 2 BLAS +* routines. +* +* XERBLA is an error handler for the Level 2 BLAS routines. +* +* It is called by the Level 2 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 2 Blas. +* +* -- Written on 10-August-1987. +* Richard Hanson, Sandia National Labs. +* Jeremy Du Croz, NAG Central Office. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + diff --git a/eigen/blas/testing/zblat3.dat b/eigen/blas/testing/zblat3.dat new file mode 100644 index 0000000..ede516f --- /dev/null +++ b/eigen/blas/testing/zblat3.dat @@ -0,0 +1,23 @@ +'zblat3.summ' NAME OF SUMMARY OUTPUT FILE +6 UNIT NUMBER OF SUMMARY FILE +'zblat3.snap' NAME OF SNAPSHOT OUTPUT FILE +-1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +F LOGICAL FLAG, T TO STOP ON FAILURES. +F LOGICAL FLAG, T TO TEST ERROR EXITS. +16.0 THRESHOLD VALUE OF TEST RATIO +6 NUMBER OF VALUES OF N +0 1 2 3 5 9 VALUES OF N +3 NUMBER OF VALUES OF ALPHA +(0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +3 NUMBER OF VALUES OF BETA +(0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +ZGEMM T PUT F FOR NO TEST. SAME COLUMNS. +ZHEMM T PUT F FOR NO TEST. SAME COLUMNS. +ZSYMM T PUT F FOR NO TEST. SAME COLUMNS. +ZTRMM T PUT F FOR NO TEST. SAME COLUMNS. +ZTRSM T PUT F FOR NO TEST. SAME COLUMNS. +ZHERK T PUT F FOR NO TEST. SAME COLUMNS. +ZSYRK T PUT F FOR NO TEST. SAME COLUMNS. +ZHER2K T PUT F FOR NO TEST. SAME COLUMNS. +ZSYR2K T PUT F FOR NO TEST. SAME COLUMNS. diff --git a/eigen/blas/testing/zblat3.f b/eigen/blas/testing/zblat3.f new file mode 100644 index 0000000..d6a522f --- /dev/null +++ b/eigen/blas/testing/zblat3.f @@ -0,0 +1,3445 @@ + PROGRAM ZBLAT3 +* +* Test program for the COMPLEX*16 Level 3 Blas. +* +* The program must be driven by a short data file. The first 14 records +* of the file are read using list-directed input, the last 9 records +* are read using the format ( A6, L2 ). An annotated example of a data +* file can be obtained by deleting the first 3 characters from the +* following 23 lines: +* 'ZBLAT3.SUMM' NAME OF SUMMARY OUTPUT FILE +* 6 UNIT NUMBER OF SUMMARY FILE +* 'ZBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE +* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) +* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. +* F LOGICAL FLAG, T TO STOP ON FAILURES. +* T LOGICAL FLAG, T TO TEST ERROR EXITS. +* 16.0 THRESHOLD VALUE OF TEST RATIO +* 6 NUMBER OF VALUES OF N +* 0 1 2 3 5 9 VALUES OF N +* 3 NUMBER OF VALUES OF ALPHA +* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA +* 3 NUMBER OF VALUES OF BETA +* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA +* ZGEMM T PUT F FOR NO TEST. SAME COLUMNS. +* ZHEMM T PUT F FOR NO TEST. SAME COLUMNS. +* ZSYMM T PUT F FOR NO TEST. SAME COLUMNS. +* ZTRMM T PUT F FOR NO TEST. SAME COLUMNS. +* ZTRSM T PUT F FOR NO TEST. SAME COLUMNS. +* ZHERK T PUT F FOR NO TEST. SAME COLUMNS. +* ZSYRK T PUT F FOR NO TEST. SAME COLUMNS. +* ZHER2K T PUT F FOR NO TEST. SAME COLUMNS. +* ZSYR2K T PUT F FOR NO TEST. SAME COLUMNS. +* +* See: +* +* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. +* A Set of Level 3 Basic Linear Algebra Subprograms. +* +* Technical Memorandum No.88 (Revision 1), Mathematics and +* Computer Science Division, Argonne National Laboratory, 9700 +* South Cass Avenue, Argonne, Illinois 60439, US. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + INTEGER NIN + PARAMETER ( NIN = 5 ) + INTEGER NSUBS + PARAMETER ( NSUBS = 9 ) + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO, RHALF, RONE + PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 ) + INTEGER NMAX + PARAMETER ( NMAX = 65 ) + INTEGER NIDMAX, NALMAX, NBEMAX + PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) +* .. Local Scalars .. + DOUBLE PRECISION EPS, ERR, THRESH + INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA + LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, + $ TSTERR + CHARACTER*1 TRANSA, TRANSB + CHARACTER*6 SNAMET + CHARACTER*32 SNAPS, SUMMRY +* .. Local Arrays .. + COMPLEX*16 AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), + $ ALF( NALMAX ), AS( NMAX*NMAX ), + $ BB( NMAX*NMAX ), BET( NBEMAX ), + $ BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ W( 2*NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDMAX ) + LOGICAL LTEST( NSUBS ) + CHARACTER*6 SNAMES( NSUBS ) +* .. External Functions .. + DOUBLE PRECISION DDIFF + LOGICAL LZE + EXTERNAL DDIFF, LZE +* .. External Subroutines .. + EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHKE, ZMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Data statements .. + DATA SNAMES/'ZGEMM ', 'ZHEMM ', 'ZSYMM ', 'ZTRMM ', + $ 'ZTRSM ', 'ZHERK ', 'ZSYRK ', 'ZHER2K', + $ 'ZSYR2K'/ +* .. Executable Statements .. +* +* Read name and unit number for summary output file and open file. +* + READ( NIN, FMT = * )SUMMRY + READ( NIN, FMT = * )NOUT + OPEN( NOUT, FILE = SUMMRY, STATUS = 'NEW' ) + NOUTC = NOUT +* +* Read name and unit number for snapshot output file and open file. +* + READ( NIN, FMT = * )SNAPS + READ( NIN, FMT = * )NTRA + TRACE = NTRA.GE.0 + IF( TRACE )THEN + OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) + END IF +* Read the flag that directs rewinding of the snapshot file. + READ( NIN, FMT = * )REWI + REWI = REWI.AND.TRACE +* Read the flag that directs stopping on any failure. + READ( NIN, FMT = * )SFATAL +* Read the flag that indicates whether error exits are to be tested. + READ( NIN, FMT = * )TSTERR +* Read the threshold value of the test ratio + READ( NIN, FMT = * )THRESH +* +* Read and check the parameter values for the tests. +* +* Values of N + READ( NIN, FMT = * )NIDIM + IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN + WRITE( NOUT, FMT = 9997 )'N', NIDMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) + DO 10 I = 1, NIDIM + IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN + WRITE( NOUT, FMT = 9996 )NMAX + GO TO 220 + END IF + 10 CONTINUE +* Values of ALPHA + READ( NIN, FMT = * )NALF + IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN + WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) +* Values of BETA + READ( NIN, FMT = * )NBET + IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN + WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX + GO TO 220 + END IF + READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) +* +* Report values of parameters. +* + WRITE( NOUT, FMT = 9995 ) + WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) + WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) + WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) + IF( .NOT.TSTERR )THEN + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9984 ) + END IF + WRITE( NOUT, FMT = * ) + WRITE( NOUT, FMT = 9999 )THRESH + WRITE( NOUT, FMT = * ) +* +* Read names of subroutines and flags which indicate +* whether they are to be tested. +* + DO 20 I = 1, NSUBS + LTEST( I ) = .FALSE. + 20 CONTINUE + 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT + DO 40 I = 1, NSUBS + IF( SNAMET.EQ.SNAMES( I ) ) + $ GO TO 50 + 40 CONTINUE + WRITE( NOUT, FMT = 9990 )SNAMET + STOP + 50 LTEST( I ) = LTESTT + GO TO 30 +* + 60 CONTINUE + CLOSE ( NIN ) +* +* Compute EPS (the machine precision). +* + EPS = RONE + 70 CONTINUE + IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO ) + $ GO TO 80 + EPS = RHALF*EPS + GO TO 70 + 80 CONTINUE + EPS = EPS + EPS + WRITE( NOUT, FMT = 9998 )EPS +* +* Check the reliability of ZMMCH using exact data. +* + N = MIN( 32, NMAX ) + DO 100 J = 1, N + DO 90 I = 1, N + AB( I, J ) = MAX( I - J + 1, 0 ) + 90 CONTINUE + AB( J, NMAX + 1 ) = J + AB( 1, NMAX + J ) = J + C( J, 1 ) = ZERO + 100 CONTINUE + DO 110 J = 1, N + CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 + 110 CONTINUE +* CC holds the exact result. On exit from ZMMCH CT holds +* the result computed by ZMMCH. + TRANSA = 'N' + TRANSB = 'N' + CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'C' + CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + DO 120 J = 1, N + AB( J, NMAX + 1 ) = N - J + 1 + AB( 1, NMAX + J ) = N - J + 1 + 120 CONTINUE + DO 130 J = 1, N + CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - + $ ( ( J + 1 )*J*( J - 1 ) )/3 + 130 CONTINUE + TRANSA = 'C' + TRANSB = 'N' + CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF + TRANSB = 'C' + CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, + $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, + $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) + SAME = LZE( CC, CT, N ) + IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN + WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR + STOP + END IF +* +* Test each subroutine in turn. +* + DO 200 ISNUM = 1, NSUBS + WRITE( NOUT, FMT = * ) + IF( .NOT.LTEST( ISNUM ) )THEN +* Subprogram is not to be tested. + WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) + ELSE + SRNAMT = SNAMES( ISNUM ) +* Test error exits. + IF( TSTERR )THEN + CALL ZCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) + WRITE( NOUT, FMT = * ) + END IF +* Test computations. + INFOT = 0 + OK = .TRUE. + FATAL = .FALSE. + GO TO ( 140, 150, 150, 160, 160, 170, 170, + $ 180, 180 )ISNUM +* Test ZGEMM, 01. + 140 CALL ZCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test ZHEMM, 02, ZSYMM, 03. + 150 CALL ZCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test ZTRMM, 04, ZTRSM, 05. + 160 CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, + $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C ) + GO TO 190 +* Test ZHERK, 06, ZSYRK, 07. + 170 CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, + $ CC, CS, CT, G ) + GO TO 190 +* Test ZHER2K, 08, ZSYR2K, 09. + 180 CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, + $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, + $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) + GO TO 190 +* + 190 IF( FATAL.AND.SFATAL ) + $ GO TO 210 + END IF + 200 CONTINUE + WRITE( NOUT, FMT = 9986 ) + GO TO 230 +* + 210 CONTINUE + WRITE( NOUT, FMT = 9985 ) + GO TO 230 +* + 220 CONTINUE + WRITE( NOUT, FMT = 9991 ) +* + 230 CONTINUE + IF( TRACE ) + $ CLOSE ( NTRA ) + CLOSE ( NOUT ) + STOP +* + 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', + $ 'S THAN', F8.2 ) + 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) + 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', + $ 'THAN ', I2 ) + 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) + 9995 FORMAT( ' TESTS OF THE COMPLEX*16 LEVEL 3 BLAS', //' THE F', + $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) + 9994 FORMAT( ' FOR N ', 9I6 ) + 9993 FORMAT( ' FOR ALPHA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9992 FORMAT( ' FOR BETA ', + $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) + 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', + $ /' ******* TESTS ABANDONED *******' ) + 9990 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', + $ 'ESTS ABANDONED *******' ) + 9989 FORMAT( ' ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', + $ 'ATED WRONGLY.', /' ZMMCH WAS CALLED WITH TRANSA = ', A1, + $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', + $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', + $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', + $ '*******' ) + 9988 FORMAT( A6, L2 ) + 9987 FORMAT( 1X, A6, ' WAS NOT TESTED' ) + 9986 FORMAT( /' END OF TESTS' ) + 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) + 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) +* +* End of ZBLAT3. +* + END + SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests ZGEMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BLS + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, + $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, + $ MA, MB, MS, N, NA, NARGS, NB, NC, NS + LOGICAL NULL, RESET, SAME, TRANA, TRANB + CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB + CHARACTER*3 ICH +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZGEMM, ZMAKE, ZMMCH +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICH/'NTC'/ +* .. Executable Statements .. +* + NARGS = 13 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 110 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICA = 1, 3 + TRANSA = ICH( ICA: ICA ) + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' +* + IF( TRANA )THEN + MA = K + NA = M + ELSE + MA = M + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICB = 1, 3 + TRANSB = ICH( ICB: ICB ) + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' +* + IF( TRANB )THEN + MB = N + NB = K + ELSE + MB = K + NB = N + END IF +* Set LDB to 1 more than minimum value if room. + LDB = MB + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 70 + LBB = LDB*NB +* +* Generate the matrix B. +* + CALL ZMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, + $ LDB, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL ZMAKE( 'GE', ' ', ' ', M, N, C, NMAX, + $ CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + TRANAS = TRANSA + TRANBS = TRANSB + MS = M + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB, + $ BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL ZGEMM( TRANSA, TRANSB, M, N, K, ALPHA, + $ AA, LDA, BB, LDB, BETA, CC, LDC ) +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = TRANSA.EQ.TRANAS + ISAME( 2 ) = TRANSB.EQ.TRANBS + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = KS.EQ.K + ISAME( 6 ) = ALS.EQ.ALPHA + ISAME( 7 ) = LZE( AS, AA, LAA ) + ISAME( 8 ) = LDAS.EQ.LDA + ISAME( 9 ) = LZE( BS, BB, LBB ) + ISAME( 10 ) = LDBS.EQ.LDB + ISAME( 11 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 12 ) = LZE( CS, CC, LCC ) + ELSE + ISAME( 12 ) = LZERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 13 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report +* and return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + CALL ZMMCH( TRANSA, TRANSB, M, N, K, + $ ALPHA, A, NMAX, B, NMAX, BETA, + $ C, NMAX, CT, G, CC, LDC, EPS, + $ ERR, FATAL, NOUT, .TRUE. ) + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 120 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K, + $ ALPHA, LDA, LDB, BETA, LDC +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',''', A1, ''',', + $ 3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, + $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK1. +* + END + SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests ZHEMM and ZSYMM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BLS + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, + $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, + $ NARGS, NC, NS + LOGICAL CONJ, LEFT, NULL, RESET, SAME + CHARACTER*1 SIDE, SIDES, UPLO, UPLOS + CHARACTER*2 ICHS, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHEMM, ZMAKE, ZMMCH, ZSYMM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHS/'LR'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 90 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = M + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 90 + LCC = LDC*N + NULL = N.LE.0.OR.M.LE.0 +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 90 + LBB = LDB*N +* +* Generate the matrix B. +* + CALL ZMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, + $ ZERO ) +* + DO 80 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' +* + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* +* Generate the hermitian or symmetric matrix A. +* + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', NA, NA, A, NMAX, + $ AA, LDA, RESET, ZERO ) +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 50 IB = 1, NBET + BETA = BET( IB ) +* +* Generate the matrix C. +* + CALL ZMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, + $ LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + MS = M + NS = N + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + BLS = BETA + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, SIDE, + $ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + IF( CONJ )THEN + CALL ZHEMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) + ELSE + CALL ZSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, + $ BB, LDB, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 110 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = MS.EQ.M + ISAME( 4 ) = NS.EQ.N + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LZE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LZE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + ISAME( 10 ) = BLS.EQ.BETA + IF( NULL )THEN + ISAME( 11 ) = LZE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LZERES( 'GE', ' ', M, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 110 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL ZMMCH( 'N', 'N', M, N, M, ALPHA, A, + $ NMAX, B, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL ZMMCH( 'N', 'N', M, N, N, ALPHA, B, + $ NMAX, A, NMAX, BETA, C, NMAX, + $ CT, G, CC, LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 120 +* + 110 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA, + $ LDB, BETA, LDC +* + 120 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, + $ ',', F4.1, '), C,', I3, ') .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK2. +* + END + SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, + $ B, BB, BS, CT, G, C ) +* +* Tests ZTRMM and ZTRSM. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CT( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS + DOUBLE PRECISION ERR, ERRMAX + INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, + $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, + $ NS + LOGICAL LEFT, NULL, RESET, SAME + CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, + $ UPLOS + CHARACTER*2 ICHD, ICHS, ICHU + CHARACTER*3 ICHT +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZMAKE, ZMMCH, ZTRMM, ZTRSM +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ +* .. Executable Statements .. +* + NARGS = 11 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* Set up zero matrix for ZMMCH. + DO 20 J = 1, NMAX + DO 10 I = 1, NMAX + C( I, J ) = ZERO + 10 CONTINUE + 20 CONTINUE +* + DO 140 IM = 1, NIDIM + M = IDIM( IM ) +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDB to 1 more than minimum value if room. + LDB = M + IF( LDB.LT.NMAX ) + $ LDB = LDB + 1 +* Skip tests if not enough room. + IF( LDB.GT.NMAX ) + $ GO TO 130 + LBB = LDB*N + NULL = M.LE.0.OR.N.LE.0 +* + DO 120 ICS = 1, 2 + SIDE = ICHS( ICS: ICS ) + LEFT = SIDE.EQ.'L' + IF( LEFT )THEN + NA = M + ELSE + NA = N + END IF +* Set LDA to 1 more than minimum value if room. + LDA = NA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 130 + LAA = LDA*NA +* + DO 110 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) +* + DO 100 ICT = 1, 3 + TRANSA = ICHT( ICT: ICT ) +* + DO 90 ICD = 1, 2 + DIAG = ICHD( ICD: ICD ) +* + DO 80 IA = 1, NALF + ALPHA = ALF( IA ) +* +* Generate the matrix A. +* + CALL ZMAKE( 'TR', UPLO, DIAG, NA, NA, A, + $ NMAX, AA, LDA, RESET, ZERO ) +* +* Generate the matrix B. +* + CALL ZMAKE( 'GE', ' ', ' ', M, N, B, NMAX, + $ BB, LDB, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the +* subroutine. +* + SIDES = SIDE + UPLOS = UPLO + TRANAS = TRANSA + DIAGS = DIAG + MS = M + NS = N + ALS = ALPHA + DO 30 I = 1, LAA + AS( I ) = AA( I ) + 30 CONTINUE + LDAS = LDA + DO 40 I = 1, LBB + BS( I ) = BB( I ) + 40 CONTINUE + LDBS = LDB +* +* Call the subroutine. +* + IF( SNAME( 4: 5 ).EQ.'MM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL ZTRMM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9995 )NC, SNAME, + $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, + $ LDA, LDB + IF( REWI ) + $ REWIND NTRA + CALL ZTRSM( SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, AA, LDA, BB, LDB ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9994 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = SIDES.EQ.SIDE + ISAME( 2 ) = UPLOS.EQ.UPLO + ISAME( 3 ) = TRANAS.EQ.TRANSA + ISAME( 4 ) = DIAGS.EQ.DIAG + ISAME( 5 ) = MS.EQ.M + ISAME( 6 ) = NS.EQ.N + ISAME( 7 ) = ALS.EQ.ALPHA + ISAME( 8 ) = LZE( AS, AA, LAA ) + ISAME( 9 ) = LDAS.EQ.LDA + IF( NULL )THEN + ISAME( 10 ) = LZE( BS, BB, LBB ) + ELSE + ISAME( 10 ) = LZERES( 'GE', ' ', M, N, BS, + $ BB, LDB ) + END IF + ISAME( 11 ) = LDBS.EQ.LDB +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 50 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 50 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN + IF( SNAME( 4: 5 ).EQ.'MM' )THEN +* +* Check the result. +* + IF( LEFT )THEN + CALL ZMMCH( TRANSA, 'N', M, N, M, + $ ALPHA, A, NMAX, B, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL ZMMCH( 'N', TRANSA, M, N, N, + $ ALPHA, B, NMAX, A, NMAX, + $ ZERO, C, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN +* +* Compute approximation to original +* matrix. +* + DO 70 J = 1, N + DO 60 I = 1, M + C( I, J ) = BB( I + ( J - 1 )* + $ LDB ) + BB( I + ( J - 1 )*LDB ) = ALPHA* + $ B( I, J ) + 60 CONTINUE + 70 CONTINUE +* + IF( LEFT )THEN + CALL ZMMCH( TRANSA, 'N', M, N, M, + $ ONE, A, NMAX, C, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + ELSE + CALL ZMMCH( 'N', TRANSA, M, N, N, + $ ONE, C, NMAX, A, NMAX, + $ ZERO, B, NMAX, CT, G, + $ BB, LDB, EPS, ERR, + $ FATAL, NOUT, .FALSE. ) + END IF + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 150 + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* + 140 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M, + $ N, ALPHA, LDA, LDB +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( 1X, I6, ': ', A6, '(', 4( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ') ', + $ ' .' ) + 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK3. +* + END + SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) +* +* Tests ZHERK and ZSYRK. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) ) + DOUBLE PRECISION RONE, RZERO + PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), + $ AS( NMAX*NMAX ), B( NMAX, NMAX ), + $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), + $ C( NMAX, NMAX ), CC( NMAX*NMAX ), + $ CS( NMAX*NMAX ), CT( NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BETS + DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, + $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, + $ NARGS, NC, NS + LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS + CHARACTER*2 ICHT, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHERK, ZMAKE, ZMMCH, ZSYRK +* .. Intrinsic Functions .. + INTRINSIC DCMPLX, MAX, DBLE +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NC'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 10 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 100 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 100 + LCC = LDC*N +* + DO 90 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 80 ICT = 1, 2 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'C' + IF( TRAN.AND..NOT.CONJ ) + $ TRANS = 'T' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 80 + LAA = LDA*NA +* +* Generate the matrix A. +* + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, + $ RESET, ZERO ) +* + DO 70 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 60 IA = 1, NALF + ALPHA = ALF( IA ) + IF( CONJ )THEN + RALPHA = DBLE( ALPHA ) + ALPHA = DCMPLX( RALPHA, RZERO ) + END IF +* + DO 50 IB = 1, NBET + BETA = BET( IB ) + IF( CONJ )THEN + RBETA = DBLE( BETA ) + BETA = DCMPLX( RBETA, RZERO ) + END IF + NULL = N.LE.0 + IF( CONJ ) + $ NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ. + $ RZERO ).AND.RBETA.EQ.RONE ) +* +* Generate the matrix C. +* + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, C, + $ NMAX, CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + IF( CONJ )THEN + RALS = RALPHA + ELSE + ALS = ALPHA + END IF + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + IF( CONJ )THEN + RBETS = RBETA + ELSE + BETS = BETA + END IF + DO 20 I = 1, LCC + CS( I ) = CC( I ) + 20 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( CONJ )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, RALPHA, LDA, RBETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL ZHERK( UPLO, TRANS, N, K, RALPHA, AA, + $ LDA, RBETA, CC, LDC ) + ELSE + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL ZSYRK( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 120 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + IF( CONJ )THEN + ISAME( 5 ) = RALS.EQ.RALPHA + ELSE + ISAME( 5 ) = ALS.EQ.ALPHA + END IF + ISAME( 6 ) = LZE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + IF( CONJ )THEN + ISAME( 8 ) = RBETS.EQ.RBETA + ELSE + ISAME( 8 ) = BETS.EQ.BETA + END IF + IF( NULL )THEN + ISAME( 9 ) = LZE( CS, CC, LCC ) + ELSE + ISAME( 9 ) = LZERES( SNAME( 2: 3 ), UPLO, N, + $ N, CS, CC, LDC ) + END IF + ISAME( 10 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 30 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 30 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 120 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( CONJ )THEN + TRANST = 'C' + ELSE + TRANST = 'T' + END IF + JC = 1 + DO 40 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + CALL ZMMCH( TRANST, 'N', LJ, 1, K, + $ ALPHA, A( 1, JJ ), NMAX, + $ A( 1, J ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + ELSE + CALL ZMMCH( 'N', TRANST, LJ, 1, K, + $ ALPHA, A( JJ, 1 ), NMAX, + $ A( J, 1 ), NMAX, BETA, + $ C( JJ, J ), NMAX, CT, G, + $ CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 110 + 40 CONTINUE + END IF +* + 50 CONTINUE +* + 60 CONTINUE +* + 70 CONTINUE +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 130 +* + 110 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 120 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( CONJ )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, RALPHA, + $ LDA, RBETA, LDC + ELSE + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, BETA, LDC + END IF +* + 130 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ', + $ ' .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1, + $ '), C,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK4. +* + END + SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, + $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, + $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) +* +* Tests ZHER2K and ZSYR2K. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + DOUBLE PRECISION RONE, RZERO + PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 ) +* .. Scalar Arguments .. + DOUBLE PRECISION EPS, THRESH + INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA + LOGICAL FATAL, REWI, TRACE + CHARACTER*6 SNAME +* .. Array Arguments .. + COMPLEX*16 AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), + $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), + $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), + $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), + $ W( 2*NMAX ) + DOUBLE PRECISION G( NMAX ) + INTEGER IDIM( NIDIM ) +* .. Local Scalars .. + COMPLEX*16 ALPHA, ALS, BETA, BETS + DOUBLE PRECISION ERR, ERRMAX, RBETA, RBETS + INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, + $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, + $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS + LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER + CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS + CHARACTER*2 ICHT, ICHU +* .. Local Arrays .. + LOGICAL ISAME( 13 ) +* .. External Functions .. + LOGICAL LZE, LZERES + EXTERNAL LZE, LZERES +* .. External Subroutines .. + EXTERNAL ZHER2K, ZMAKE, ZMMCH, ZSYR2K +* .. Intrinsic Functions .. + INTRINSIC DCMPLX, DCONJG, MAX, DBLE +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Data statements .. + DATA ICHT/'NC'/, ICHU/'UL'/ +* .. Executable Statements .. + CONJ = SNAME( 2: 3 ).EQ.'HE' +* + NARGS = 12 + NC = 0 + RESET = .TRUE. + ERRMAX = RZERO +* + DO 130 IN = 1, NIDIM + N = IDIM( IN ) +* Set LDC to 1 more than minimum value if room. + LDC = N + IF( LDC.LT.NMAX ) + $ LDC = LDC + 1 +* Skip tests if not enough room. + IF( LDC.GT.NMAX ) + $ GO TO 130 + LCC = LDC*N +* + DO 120 IK = 1, NIDIM + K = IDIM( IK ) +* + DO 110 ICT = 1, 2 + TRANS = ICHT( ICT: ICT ) + TRAN = TRANS.EQ.'C' + IF( TRAN.AND..NOT.CONJ ) + $ TRANS = 'T' + IF( TRAN )THEN + MA = K + NA = N + ELSE + MA = N + NA = K + END IF +* Set LDA to 1 more than minimum value if room. + LDA = MA + IF( LDA.LT.NMAX ) + $ LDA = LDA + 1 +* Skip tests if not enough room. + IF( LDA.GT.NMAX ) + $ GO TO 110 + LAA = LDA*NA +* +* Generate the matrix A. +* + IF( TRAN )THEN + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, + $ LDA, RESET, ZERO ) + ELSE + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, + $ RESET, ZERO ) + END IF +* +* Generate the matrix B. +* + LDB = LDA + LBB = LAA + IF( TRAN )THEN + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), + $ 2*NMAX, BB, LDB, RESET, ZERO ) + ELSE + CALL ZMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), + $ NMAX, BB, LDB, RESET, ZERO ) + END IF +* + DO 100 ICU = 1, 2 + UPLO = ICHU( ICU: ICU ) + UPPER = UPLO.EQ.'U' +* + DO 90 IA = 1, NALF + ALPHA = ALF( IA ) +* + DO 80 IB = 1, NBET + BETA = BET( IB ) + IF( CONJ )THEN + RBETA = DBLE( BETA ) + BETA = DCMPLX( RBETA, RZERO ) + END IF + NULL = N.LE.0 + IF( CONJ ) + $ NULL = NULL.OR.( ( K.LE.0.OR.ALPHA.EQ. + $ ZERO ).AND.RBETA.EQ.RONE ) +* +* Generate the matrix C. +* + CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, C, + $ NMAX, CC, LDC, RESET, ZERO ) +* + NC = NC + 1 +* +* Save every datum before calling the subroutine. +* + UPLOS = UPLO + TRANSS = TRANS + NS = N + KS = K + ALS = ALPHA + DO 10 I = 1, LAA + AS( I ) = AA( I ) + 10 CONTINUE + LDAS = LDA + DO 20 I = 1, LBB + BS( I ) = BB( I ) + 20 CONTINUE + LDBS = LDB + IF( CONJ )THEN + RBETS = RBETA + ELSE + BETS = BETA + END IF + DO 30 I = 1, LCC + CS( I ) = CC( I ) + 30 CONTINUE + LDCS = LDC +* +* Call the subroutine. +* + IF( CONJ )THEN + IF( TRACE ) + $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, RBETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL ZHER2K( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BB, LDB, RBETA, CC, LDC ) + ELSE + IF( TRACE ) + $ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, + $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC + IF( REWI ) + $ REWIND NTRA + CALL ZSYR2K( UPLO, TRANS, N, K, ALPHA, AA, + $ LDA, BB, LDB, BETA, CC, LDC ) + END IF +* +* Check if error-exit was taken incorrectly. +* + IF( .NOT.OK )THEN + WRITE( NOUT, FMT = 9992 ) + FATAL = .TRUE. + GO TO 150 + END IF +* +* See what data changed inside subroutines. +* + ISAME( 1 ) = UPLOS.EQ.UPLO + ISAME( 2 ) = TRANSS.EQ.TRANS + ISAME( 3 ) = NS.EQ.N + ISAME( 4 ) = KS.EQ.K + ISAME( 5 ) = ALS.EQ.ALPHA + ISAME( 6 ) = LZE( AS, AA, LAA ) + ISAME( 7 ) = LDAS.EQ.LDA + ISAME( 8 ) = LZE( BS, BB, LBB ) + ISAME( 9 ) = LDBS.EQ.LDB + IF( CONJ )THEN + ISAME( 10 ) = RBETS.EQ.RBETA + ELSE + ISAME( 10 ) = BETS.EQ.BETA + END IF + IF( NULL )THEN + ISAME( 11 ) = LZE( CS, CC, LCC ) + ELSE + ISAME( 11 ) = LZERES( 'HE', UPLO, N, N, CS, + $ CC, LDC ) + END IF + ISAME( 12 ) = LDCS.EQ.LDC +* +* If data was incorrectly changed, report and +* return. +* + SAME = .TRUE. + DO 40 I = 1, NARGS + SAME = SAME.AND.ISAME( I ) + IF( .NOT.ISAME( I ) ) + $ WRITE( NOUT, FMT = 9998 )I + 40 CONTINUE + IF( .NOT.SAME )THEN + FATAL = .TRUE. + GO TO 150 + END IF +* + IF( .NOT.NULL )THEN +* +* Check the result column by column. +* + IF( CONJ )THEN + TRANST = 'C' + ELSE + TRANST = 'T' + END IF + JJAB = 1 + JC = 1 + DO 70 J = 1, N + IF( UPPER )THEN + JJ = 1 + LJ = J + ELSE + JJ = J + LJ = N - J + 1 + END IF + IF( TRAN )THEN + DO 50 I = 1, K + W( I ) = ALPHA*AB( ( J - 1 )*2* + $ NMAX + K + I ) + IF( CONJ )THEN + W( K + I ) = DCONJG( ALPHA )* + $ AB( ( J - 1 )*2* + $ NMAX + I ) + ELSE + W( K + I ) = ALPHA* + $ AB( ( J - 1 )*2* + $ NMAX + I ) + END IF + 50 CONTINUE + CALL ZMMCH( TRANST, 'N', LJ, 1, 2*K, + $ ONE, AB( JJAB ), 2*NMAX, W, + $ 2*NMAX, BETA, C( JJ, J ), + $ NMAX, CT, G, CC( JC ), LDC, + $ EPS, ERR, FATAL, NOUT, + $ .TRUE. ) + ELSE + DO 60 I = 1, K + IF( CONJ )THEN + W( I ) = ALPHA*DCONJG( AB( ( K + + $ I - 1 )*NMAX + J ) ) + W( K + I ) = DCONJG( ALPHA* + $ AB( ( I - 1 )*NMAX + + $ J ) ) + ELSE + W( I ) = ALPHA*AB( ( K + I - 1 )* + $ NMAX + J ) + W( K + I ) = ALPHA* + $ AB( ( I - 1 )*NMAX + + $ J ) + END IF + 60 CONTINUE + CALL ZMMCH( 'N', 'N', LJ, 1, 2*K, ONE, + $ AB( JJ ), NMAX, W, 2*NMAX, + $ BETA, C( JJ, J ), NMAX, CT, + $ G, CC( JC ), LDC, EPS, ERR, + $ FATAL, NOUT, .TRUE. ) + END IF + IF( UPPER )THEN + JC = JC + LDC + ELSE + JC = JC + LDC + 1 + IF( TRAN ) + $ JJAB = JJAB + 2*NMAX + END IF + ERRMAX = MAX( ERRMAX, ERR ) +* If got really bad answer, report and +* return. + IF( FATAL ) + $ GO TO 140 + 70 CONTINUE + END IF +* + 80 CONTINUE +* + 90 CONTINUE +* + 100 CONTINUE +* + 110 CONTINUE +* + 120 CONTINUE +* + 130 CONTINUE +* +* Report result. +* + IF( ERRMAX.LT.THRESH )THEN + WRITE( NOUT, FMT = 9999 )SNAME, NC + ELSE + WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX + END IF + GO TO 160 +* + 140 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9995 )J +* + 150 CONTINUE + WRITE( NOUT, FMT = 9996 )SNAME + IF( CONJ )THEN + WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, RBETA, LDC + ELSE + WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, + $ LDA, LDB, BETA, LDC + END IF +* + 160 CONTINUE + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', + $ 'S)' ) + 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', + $ 'ANGED INCORRECTLY *******' ) + 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', + $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, + $ ' - SUSPECT *******' ) + 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) + 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) + 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1, + $ ', C,', I3, ') .' ) + 9993 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), + $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, + $ ',', F4.1, '), C,', I3, ') .' ) + 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', + $ '******' ) +* +* End of ZCHK5. +* + END + SUBROUTINE ZCHKE( ISNUM, SRNAMT, NOUT ) +* +* Tests the error exits from the Level 3 Blas. +* Requires a special version of the error-handling routine XERBLA. +* ALPHA, RALPHA, BETA, RBETA, A, B and C should not need to be defined. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER ISNUM, NOUT + CHARACTER*6 SRNAMT +* .. Scalars in Common .. + INTEGER INFOT, NOUTC + LOGICAL LERR, OK +* .. Local Scalars .. + COMPLEX*16 ALPHA, BETA + DOUBLE PRECISION RALPHA, RBETA +* .. Local Arrays .. + COMPLEX*16 A( 2, 1 ), B( 2, 1 ), C( 2, 1 ) +* .. External Subroutines .. + EXTERNAL ZGEMM, ZHEMM, ZHER2K, ZHERK, CHKXER, ZSYMM, + $ ZSYR2K, ZSYRK, ZTRMM, ZTRSM +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUTC, OK, LERR +* .. Executable Statements .. +* OK is set to .FALSE. by the special version of XERBLA or by CHKXER +* if anything is wrong. + OK = .TRUE. +* LERR is set to .TRUE. by the special version of XERBLA each time +* it is called, and is then tested and re-set by CHKXER. + LERR = .FALSE. + GO TO ( 10, 20, 30, 40, 50, 60, 70, 80, + $ 90 )ISNUM + 10 INFOT = 1 + CALL ZGEMM( '/', 'N', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL ZGEMM( '/', 'C', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 1 + CALL ZGEMM( '/', 'T', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGEMM( 'N', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGEMM( 'C', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZGEMM( 'T', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'N', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'N', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'N', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'C', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'C', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'C', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'T', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'T', 'C', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZGEMM( 'T', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'N', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'N', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'N', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'C', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'C', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'C', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'T', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'T', 'C', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZGEMM( 'T', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'N', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'N', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'N', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'C', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'C', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'C', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'T', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'T', 'C', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZGEMM( 'T', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'N', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'C', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'C', 'C', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'C', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'T', 'C', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZGEMM( 'T', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'N', 'N', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'C', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'N', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'C', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'T', 'C', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'N', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'C', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZGEMM( 'T', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'N', 'C', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'C', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'C', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'C', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'T', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'T', 'C', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 13 + CALL ZGEMM( 'T', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 20 INFOT = 1 + CALL ZHEMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHEMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHEMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHEMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHEMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHEMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHEMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHEMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHEMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHEMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHEMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHEMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHEMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHEMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHEMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHEMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHEMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHEMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHEMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHEMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHEMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHEMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 30 INFOT = 1 + CALL ZSYMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZSYMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 40 INFOT = 1 + CALL ZTRMM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTRMM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTRMM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTRMM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRMM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRMM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'U', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'L', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRMM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRMM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 50 INFOT = 1 + CALL ZTRSM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZTRSM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZTRSM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZTRSM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'U', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'L', 'C', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZTRSM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'U', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'L', 'C', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 6 + CALL ZTRSM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'U', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'L', 'C', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZTRSM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'U', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'U', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'L', 'C', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'L', 'C', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 11 + CALL ZTRSM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 60 INFOT = 1 + CALL ZHERK( '/', 'N', 0, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHERK( 'U', 'T', 0, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHERK( 'U', 'N', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHERK( 'U', 'C', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHERK( 'L', 'N', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHERK( 'L', 'C', -1, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHERK( 'U', 'N', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHERK( 'U', 'C', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHERK( 'L', 'N', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHERK( 'L', 'C', 0, -1, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHERK( 'U', 'N', 2, 0, RALPHA, A, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHERK( 'U', 'C', 0, 2, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHERK( 'L', 'N', 2, 0, RALPHA, A, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHERK( 'L', 'C', 0, 2, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHERK( 'U', 'N', 2, 0, RALPHA, A, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHERK( 'U', 'C', 2, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHERK( 'L', 'N', 2, 0, RALPHA, A, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHERK( 'L', 'C', 2, 0, RALPHA, A, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 70 INFOT = 1 + CALL ZSYRK( '/', 'N', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZSYRK( 'U', 'C', 0, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYRK( 'U', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYRK( 'U', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYRK( 'L', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYRK( 'L', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYRK( 'U', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYRK( 'U', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYRK( 'L', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYRK( 'L', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYRK( 'U', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYRK( 'U', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYRK( 'L', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYRK( 'L', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZSYRK( 'U', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZSYRK( 'U', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZSYRK( 'L', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZSYRK( 'L', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 80 INFOT = 1 + CALL ZHER2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZHER2K( 'U', 'T', 0, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHER2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHER2K( 'U', 'C', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHER2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZHER2K( 'L', 'C', -1, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHER2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHER2K( 'U', 'C', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHER2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZHER2K( 'L', 'C', 0, -1, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER2K( 'U', 'C', 0, 2, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHER2K( 'L', 'C', 0, 2, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHER2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHER2K( 'U', 'C', 0, 2, ALPHA, A, 2, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHER2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, RBETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZHER2K( 'L', 'C', 0, 2, ALPHA, A, 2, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHER2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHER2K( 'U', 'C', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHER2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZHER2K( 'L', 'C', 2, 0, ALPHA, A, 1, B, 1, RBETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + GO TO 100 + 90 INFOT = 1 + CALL ZSYR2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZSYR2K( 'U', 'C', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYR2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYR2K( 'U', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYR2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYR2K( 'L', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYR2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYR2K( 'U', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYR2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYR2K( 'L', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYR2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYR2K( 'U', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYR2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYR2K( 'L', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYR2K( 'U', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 9 + CALL ZSYR2K( 'L', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYR2K( 'U', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) + INFOT = 12 + CALL ZSYR2K( 'L', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) + CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* + 100 IF( OK )THEN + WRITE( NOUT, FMT = 9999 )SRNAMT + ELSE + WRITE( NOUT, FMT = 9998 )SRNAMT + END IF + RETURN +* + 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) + 9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****', + $ '**' ) +* +* End of ZCHKE. +* + END + SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, + $ TRANSL ) +* +* Generates values for an M by N matrix A. +* Stores the values in the array AA in the data structure required +* by the routine, with unwanted elements set to rogue value. +* +* TYPE is 'GE', 'HE', 'SY' or 'TR'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO, ONE + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), + $ ONE = ( 1.0D0, 0.0D0 ) ) + COMPLEX*16 ROGUE + PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) ) + DOUBLE PRECISION RZERO + PARAMETER ( RZERO = 0.0D0 ) + DOUBLE PRECISION RROGUE + PARAMETER ( RROGUE = -1.0D10 ) +* .. Scalar Arguments .. + COMPLEX*16 TRANSL + INTEGER LDA, M, N, NMAX + LOGICAL RESET + CHARACTER*1 DIAG, UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX*16 A( NMAX, * ), AA( * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J, JJ + LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER +* .. External Functions .. + COMPLEX*16 ZBEG + EXTERNAL ZBEG +* .. Intrinsic Functions .. + INTRINSIC DCMPLX, DCONJG, DBLE +* .. Executable Statements .. + GEN = TYPE.EQ.'GE' + HER = TYPE.EQ.'HE' + SYM = TYPE.EQ.'SY' + TRI = TYPE.EQ.'TR' + UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U' + LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L' + UNIT = TRI.AND.DIAG.EQ.'U' +* +* Generate data in array A. +* + DO 20 J = 1, N + DO 10 I = 1, M + IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) + $ THEN + A( I, J ) = ZBEG( RESET ) + TRANSL + IF( I.NE.J )THEN +* Set some elements to zero + IF( N.GT.3.AND.J.EQ.N/2 ) + $ A( I, J ) = ZERO + IF( HER )THEN + A( J, I ) = DCONJG( A( I, J ) ) + ELSE IF( SYM )THEN + A( J, I ) = A( I, J ) + ELSE IF( TRI )THEN + A( J, I ) = ZERO + END IF + END IF + END IF + 10 CONTINUE + IF( HER ) + $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO ) + IF( TRI ) + $ A( J, J ) = A( J, J ) + ONE + IF( UNIT ) + $ A( J, J ) = ONE + 20 CONTINUE +* +* Store elements in array AS in data structure required by routine. +* + IF( TYPE.EQ.'GE' )THEN + DO 50 J = 1, N + DO 30 I = 1, M + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 30 CONTINUE + DO 40 I = M + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 40 CONTINUE + 50 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN + DO 90 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IF( UNIT )THEN + IEND = J - 1 + ELSE + IEND = J + END IF + ELSE + IF( UNIT )THEN + IBEG = J + 1 + ELSE + IBEG = J + END IF + IEND = N + END IF + DO 60 I = 1, IBEG - 1 + AA( I + ( J - 1 )*LDA ) = ROGUE + 60 CONTINUE + DO 70 I = IBEG, IEND + AA( I + ( J - 1 )*LDA ) = A( I, J ) + 70 CONTINUE + DO 80 I = IEND + 1, LDA + AA( I + ( J - 1 )*LDA ) = ROGUE + 80 CONTINUE + IF( HER )THEN + JJ = J + ( J - 1 )*LDA + AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE ) + END IF + 90 CONTINUE + END IF + RETURN +* +* End of ZMAKE. +* + END + SUBROUTINE ZMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, + $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, + $ NOUT, MV ) +* +* Checks the results of the computational tests. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Parameters .. + COMPLEX*16 ZERO + PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) ) + DOUBLE PRECISION RZERO, RONE + PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 ) +* .. Scalar Arguments .. + COMPLEX*16 ALPHA, BETA + DOUBLE PRECISION EPS, ERR + INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT + LOGICAL FATAL, MV + CHARACTER*1 TRANSA, TRANSB +* .. Array Arguments .. + COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * ), + $ CC( LDCC, * ), CT( * ) + DOUBLE PRECISION G( * ) +* .. Local Scalars .. + COMPLEX*16 CL + DOUBLE PRECISION ERRI + INTEGER I, J, K + LOGICAL CTRANA, CTRANB, TRANA, TRANB +* .. Intrinsic Functions .. + INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT +* .. Statement Functions .. + DOUBLE PRECISION ABS1 +* .. Statement Function definitions .. + ABS1( CL ) = ABS( DBLE( CL ) ) + ABS( DIMAG( CL ) ) +* .. Executable Statements .. + TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' + TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' + CTRANA = TRANSA.EQ.'C' + CTRANB = TRANSB.EQ.'C' +* +* Compute expected result, one column at a time, in CT using data +* in A, B and C. +* Compute gauges in G. +* + DO 220 J = 1, N +* + DO 10 I = 1, M + CT( I ) = ZERO + G( I ) = RZERO + 10 CONTINUE + IF( .NOT.TRANA.AND..NOT.TRANB )THEN + DO 30 K = 1, KK + DO 20 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( K, J ) + G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) ) + 20 CONTINUE + 30 CONTINUE + ELSE IF( TRANA.AND..NOT.TRANB )THEN + IF( CTRANA )THEN + DO 50 K = 1, KK + DO 40 I = 1, M + CT( I ) = CT( I ) + DCONJG( A( K, I ) )*B( K, J ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( K, J ) ) + 40 CONTINUE + 50 CONTINUE + ELSE + DO 70 K = 1, KK + DO 60 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( K, J ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( K, J ) ) + 60 CONTINUE + 70 CONTINUE + END IF + ELSE IF( .NOT.TRANA.AND.TRANB )THEN + IF( CTRANB )THEN + DO 90 K = 1, KK + DO 80 I = 1, M + CT( I ) = CT( I ) + A( I, K )*DCONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( I, K ) )* + $ ABS1( B( J, K ) ) + 80 CONTINUE + 90 CONTINUE + ELSE + DO 110 K = 1, KK + DO 100 I = 1, M + CT( I ) = CT( I ) + A( I, K )*B( J, K ) + G( I ) = G( I ) + ABS1( A( I, K ) )* + $ ABS1( B( J, K ) ) + 100 CONTINUE + 110 CONTINUE + END IF + ELSE IF( TRANA.AND.TRANB )THEN + IF( CTRANA )THEN + IF( CTRANB )THEN + DO 130 K = 1, KK + DO 120 I = 1, M + CT( I ) = CT( I ) + DCONJG( A( K, I ) )* + $ DCONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 120 CONTINUE + 130 CONTINUE + ELSE + DO 150 K = 1, KK + DO 140 I = 1, M + CT( I ) = CT( I ) + DCONJG( A( K, I ) )* + $ B( J, K ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 140 CONTINUE + 150 CONTINUE + END IF + ELSE + IF( CTRANB )THEN + DO 170 K = 1, KK + DO 160 I = 1, M + CT( I ) = CT( I ) + A( K, I )* + $ DCONJG( B( J, K ) ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 160 CONTINUE + 170 CONTINUE + ELSE + DO 190 K = 1, KK + DO 180 I = 1, M + CT( I ) = CT( I ) + A( K, I )*B( J, K ) + G( I ) = G( I ) + ABS1( A( K, I ) )* + $ ABS1( B( J, K ) ) + 180 CONTINUE + 190 CONTINUE + END IF + END IF + END IF + DO 200 I = 1, M + CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) + G( I ) = ABS1( ALPHA )*G( I ) + + $ ABS1( BETA )*ABS1( C( I, J ) ) + 200 CONTINUE +* +* Compute the error ratio for this result. +* + ERR = ZERO + DO 210 I = 1, M + ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS + IF( G( I ).NE.RZERO ) + $ ERRI = ERRI/G( I ) + ERR = MAX( ERR, ERRI ) + IF( ERR*SQRT( EPS ).GE.RONE ) + $ GO TO 230 + 210 CONTINUE +* + 220 CONTINUE +* +* If the loop completes, all results are at least half accurate. + GO TO 250 +* +* Report fatal error. +* + 230 FATAL = .TRUE. + WRITE( NOUT, FMT = 9999 ) + DO 240 I = 1, M + IF( MV )THEN + WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) + ELSE + WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) + END IF + 240 CONTINUE + IF( N.GT.1 ) + $ WRITE( NOUT, FMT = 9997 )J +* + 250 CONTINUE + RETURN +* + 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', + $ 'F ACCURATE *******', /' EXPECTED RE', + $ 'SULT COMPUTED RESULT' ) + 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) ) + 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) +* +* End of ZMMCH. +* + END + LOGICAL FUNCTION LZE( RI, RJ, LR ) +* +* Tests if two arrays are identical. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LR +* .. Array Arguments .. + COMPLEX*16 RI( * ), RJ( * ) +* .. Local Scalars .. + INTEGER I +* .. Executable Statements .. + DO 10 I = 1, LR + IF( RI( I ).NE.RJ( I ) ) + $ GO TO 20 + 10 CONTINUE + LZE = .TRUE. + GO TO 30 + 20 CONTINUE + LZE = .FALSE. + 30 RETURN +* +* End of LZE. +* + END + LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA ) +* +* Tests if selected elements in two arrays are equal. +* +* TYPE is 'GE' or 'HE' or 'SY'. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER LDA, M, N + CHARACTER*1 UPLO + CHARACTER*2 TYPE +* .. Array Arguments .. + COMPLEX*16 AA( LDA, * ), AS( LDA, * ) +* .. Local Scalars .. + INTEGER I, IBEG, IEND, J + LOGICAL UPPER +* .. Executable Statements .. + UPPER = UPLO.EQ.'U' + IF( TYPE.EQ.'GE' )THEN + DO 20 J = 1, N + DO 10 I = M + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 10 CONTINUE + 20 CONTINUE + ELSE IF( TYPE.EQ.'HE'.OR.TYPE.EQ.'SY' )THEN + DO 50 J = 1, N + IF( UPPER )THEN + IBEG = 1 + IEND = J + ELSE + IBEG = J + IEND = N + END IF + DO 30 I = 1, IBEG - 1 + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 30 CONTINUE + DO 40 I = IEND + 1, LDA + IF( AA( I, J ).NE.AS( I, J ) ) + $ GO TO 70 + 40 CONTINUE + 50 CONTINUE + END IF +* + 60 CONTINUE + LZERES = .TRUE. + GO TO 80 + 70 CONTINUE + LZERES = .FALSE. + 80 RETURN +* +* End of LZERES. +* + END + COMPLEX*16 FUNCTION ZBEG( RESET ) +* +* Generates complex numbers as pairs of random numbers uniformly +* distributed between -0.5 and 0.5. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + LOGICAL RESET +* .. Local Scalars .. + INTEGER I, IC, J, MI, MJ +* .. Save statement .. + SAVE I, IC, J, MI, MJ +* .. Intrinsic Functions .. + INTRINSIC DCMPLX +* .. Executable Statements .. + IF( RESET )THEN +* Initialize local variables. + MI = 891 + MJ = 457 + I = 7 + J = 7 + IC = 0 + RESET = .FALSE. + END IF +* +* The sequence of values of I or J is bounded between 1 and 999. +* If initial I or J = 1,2,3,6,7 or 9, the period will be 50. +* If initial I or J = 4 or 8, the period will be 25. +* If initial I or J = 5, the period will be 10. +* IC is used to break up the period by skipping 1 value of I or J +* in 6. +* + IC = IC + 1 + 10 I = I*MI + J = J*MJ + I = I - 1000*( I/1000 ) + J = J - 1000*( J/1000 ) + IF( IC.GE.5 )THEN + IC = 0 + GO TO 10 + END IF + ZBEG = DCMPLX( ( I - 500 )/1001.0D0, ( J - 500 )/1001.0D0 ) + RETURN +* +* End of ZBEG. +* + END + DOUBLE PRECISION FUNCTION DDIFF( X, Y ) +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + DOUBLE PRECISION X, Y +* .. Executable Statements .. + DDIFF = X - Y + RETURN +* +* End of DDIFF. +* + END + SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) +* +* Tests whether XERBLA has detected an error when it should. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Executable Statements .. + IF( .NOT.LERR )THEN + WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT + OK = .FALSE. + END IF + LERR = .FALSE. + RETURN +* + 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', + $ 'ETECTED BY ', A6, ' *****' ) +* +* End of CHKXER. +* + END + SUBROUTINE XERBLA( SRNAME, INFO ) +* +* This is a special version of XERBLA to be used only as part of +* the test program for testing error exits from the Level 3 BLAS +* routines. +* +* XERBLA is an error handler for the Level 3 BLAS routines. +* +* It is called by the Level 3 BLAS routines if an input parameter is +* invalid. +* +* Auxiliary routine for test program for Level 3 Blas. +* +* -- Written on 8-February-1989. +* Jack Dongarra, Argonne National Laboratory. +* Iain Duff, AERE Harwell. +* Jeremy Du Croz, Numerical Algorithms Group Ltd. +* Sven Hammarling, Numerical Algorithms Group Ltd. +* +* .. Scalar Arguments .. + INTEGER INFO + CHARACTER*6 SRNAME +* .. Scalars in Common .. + INTEGER INFOT, NOUT + LOGICAL LERR, OK + CHARACTER*6 SRNAMT +* .. Common blocks .. + COMMON /INFOC/INFOT, NOUT, OK, LERR + COMMON /SRNAMC/SRNAMT +* .. Executable Statements .. + LERR = .TRUE. + IF( INFO.NE.INFOT )THEN + IF( INFOT.NE.0 )THEN + WRITE( NOUT, FMT = 9999 )INFO, INFOT + ELSE + WRITE( NOUT, FMT = 9997 )INFO + END IF + OK = .FALSE. + END IF + IF( SRNAME.NE.SRNAMT )THEN + WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT + OK = .FALSE. + END IF + RETURN +* + 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', + $ ' OF ', I2, ' *******' ) + 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', + $ 'AD OF ', A6, ' *******' ) + 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, + $ ' *******' ) +* +* End of XERBLA +* + END + |