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Diffstat (limited to 'eigen/blas/drotm.f')
-rw-r--r-- | eigen/blas/drotm.f | 147 |
1 files changed, 147 insertions, 0 deletions
diff --git a/eigen/blas/drotm.f b/eigen/blas/drotm.f new file mode 100644 index 0000000..63a3b11 --- /dev/null +++ b/eigen/blas/drotm.f @@ -0,0 +1,147 @@ + SUBROUTINE DROTM(N,DX,INCX,DY,INCY,DPARAM) +* .. Scalar Arguments .. + INTEGER INCX,INCY,N +* .. +* .. Array Arguments .. + DOUBLE PRECISION DPARAM(5),DX(*),DY(*) +* .. +* +* Purpose +* ======= +* +* APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX +* +* (DX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF DX ARE IN +* (DY**T) +* +* DX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE +* LX = (-INCX)*N, AND SIMILARLY FOR SY USING LY AND INCY. +* WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS.. +* +* DFLAG=-1.D0 DFLAG=0.D0 DFLAG=1.D0 DFLAG=-2.D0 +* +* (DH11 DH12) (1.D0 DH12) (DH11 1.D0) (1.D0 0.D0) +* H=( ) ( ) ( ) ( ) +* (DH21 DH22), (DH21 1.D0), (-1.D0 DH22), (0.D0 1.D0). +* SEE DROTMG FOR A DESCRIPTION OF DATA STORAGE IN DPARAM. +* +* Arguments +* ========= +* +* N (input) INTEGER +* number of elements in input vector(s) +* +* DX (input/output) DOUBLE PRECISION array, dimension N +* double precision vector with N elements +* +* INCX (input) INTEGER +* storage spacing between elements of DX +* +* DY (input/output) DOUBLE PRECISION array, dimension N +* double precision vector with N elements +* +* INCY (input) INTEGER +* storage spacing between elements of DY +* +* DPARAM (input/output) DOUBLE PRECISION array, dimension 5 +* DPARAM(1)=DFLAG +* DPARAM(2)=DH11 +* DPARAM(3)=DH21 +* DPARAM(4)=DH12 +* DPARAM(5)=DH22 +* +* ===================================================================== +* +* .. Local Scalars .. + DOUBLE PRECISION DFLAG,DH11,DH12,DH21,DH22,TWO,W,Z,ZERO + INTEGER I,KX,KY,NSTEPS +* .. +* .. Data statements .. + DATA ZERO,TWO/0.D0,2.D0/ +* .. +* + DFLAG = DPARAM(1) + IF (N.LE.0 .OR. (DFLAG+TWO.EQ.ZERO)) GO TO 140 + IF (.NOT. (INCX.EQ.INCY.AND.INCX.GT.0)) GO TO 70 +* + NSTEPS = N*INCX + IF (DFLAG) 50,10,30 + 10 CONTINUE + DH12 = DPARAM(4) + DH21 = DPARAM(3) + DO 20 I = 1,NSTEPS,INCX + W = DX(I) + Z = DY(I) + DX(I) = W + Z*DH12 + DY(I) = W*DH21 + Z + 20 CONTINUE + GO TO 140 + 30 CONTINUE + DH11 = DPARAM(2) + DH22 = DPARAM(5) + DO 40 I = 1,NSTEPS,INCX + W = DX(I) + Z = DY(I) + DX(I) = W*DH11 + Z + DY(I) = -W + DH22*Z + 40 CONTINUE + GO TO 140 + 50 CONTINUE + DH11 = DPARAM(2) + DH12 = DPARAM(4) + DH21 = DPARAM(3) + DH22 = DPARAM(5) + DO 60 I = 1,NSTEPS,INCX + W = DX(I) + Z = DY(I) + DX(I) = W*DH11 + Z*DH12 + DY(I) = W*DH21 + Z*DH22 + 60 CONTINUE + GO TO 140 + 70 CONTINUE + KX = 1 + KY = 1 + IF (INCX.LT.0) KX = 1 + (1-N)*INCX + IF (INCY.LT.0) KY = 1 + (1-N)*INCY +* + IF (DFLAG) 120,80,100 + 80 CONTINUE + DH12 = DPARAM(4) + DH21 = DPARAM(3) + DO 90 I = 1,N + W = DX(KX) + Z = DY(KY) + DX(KX) = W + Z*DH12 + DY(KY) = W*DH21 + Z + KX = KX + INCX + KY = KY + INCY + 90 CONTINUE + GO TO 140 + 100 CONTINUE + DH11 = DPARAM(2) + DH22 = DPARAM(5) + DO 110 I = 1,N + W = DX(KX) + Z = DY(KY) + DX(KX) = W*DH11 + Z + DY(KY) = -W + DH22*Z + KX = KX + INCX + KY = KY + INCY + 110 CONTINUE + GO TO 140 + 120 CONTINUE + DH11 = DPARAM(2) + DH12 = DPARAM(4) + DH21 = DPARAM(3) + DH22 = DPARAM(5) + DO 130 I = 1,N + W = DX(KX) + Z = DY(KY) + DX(KX) = W*DH11 + Z*DH12 + DY(KY) = W*DH21 + Z*DH22 + KX = KX + INCX + KY = KY + INCY + 130 CONTINUE + 140 CONTINUE + RETURN + END |