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Diffstat (limited to 'eigen/blas/level1_cplx_impl.h')
-rw-r--r-- | eigen/blas/level1_cplx_impl.h | 127 |
1 files changed, 127 insertions, 0 deletions
diff --git a/eigen/blas/level1_cplx_impl.h b/eigen/blas/level1_cplx_impl.h new file mode 100644 index 0000000..283b9f8 --- /dev/null +++ b/eigen/blas/level1_cplx_impl.h @@ -0,0 +1,127 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#include "common.h" + +struct scalar_norm1_op { + typedef RealScalar result_type; + EIGEN_EMPTY_STRUCT_CTOR(scalar_norm1_op) + inline RealScalar operator() (const Scalar& a) const { return numext::norm1(a); } +}; +namespace Eigen { + namespace internal { + template<> struct functor_traits<scalar_norm1_op > + { + enum { Cost = 3 * NumTraits<Scalar>::AddCost, PacketAccess = 0 }; + }; + } +} + +// computes the sum of magnitudes of all vector elements or, for a complex vector x, the sum +// res = |Rex1| + |Imx1| + |Rex2| + |Imx2| + ... + |Rexn| + |Imxn|, where x is a vector of order n +RealScalar EIGEN_CAT(EIGEN_CAT(REAL_SCALAR_SUFFIX,SCALAR_SUFFIX),asum_)(int *n, RealScalar *px, int *incx) +{ +// std::cerr << "__asum " << *n << " " << *incx << "\n"; + Complex* x = reinterpret_cast<Complex*>(px); + + if(*n<=0) return 0; + + if(*incx==1) return vector(x,*n).unaryExpr<scalar_norm1_op>().sum(); + else return vector(x,*n,std::abs(*incx)).unaryExpr<scalar_norm1_op>().sum(); +} + +// computes a dot product of a conjugated vector with another vector. +int EIGEN_BLAS_FUNC(dotcw)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar* pres) +{ +// std::cerr << "_dotc " << *n << " " << *incx << " " << *incy << "\n"; + + if(*n<=0) return 0; + + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar* res = reinterpret_cast<Scalar*>(pres); + + if(*incx==1 && *incy==1) *res = (vector(x,*n).dot(vector(y,*n))); + else if(*incx>0 && *incy>0) *res = (vector(x,*n,*incx).dot(vector(y,*n,*incy))); + else if(*incx<0 && *incy>0) *res = (vector(x,*n,-*incx).reverse().dot(vector(y,*n,*incy))); + else if(*incx>0 && *incy<0) *res = (vector(x,*n,*incx).dot(vector(y,*n,-*incy).reverse())); + else if(*incx<0 && *incy<0) *res = (vector(x,*n,-*incx).reverse().dot(vector(y,*n,-*incy).reverse())); + return 0; +} + +// computes a vector-vector dot product without complex conjugation. +int EIGEN_BLAS_FUNC(dotuw)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar* pres) +{ +// std::cerr << "_dotu " << *n << " " << *incx << " " << *incy << "\n"; + + if(*n<=0) return 0; + + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar* res = reinterpret_cast<Scalar*>(pres); + + if(*incx==1 && *incy==1) *res = (vector(x,*n).cwiseProduct(vector(y,*n))).sum(); + else if(*incx>0 && *incy>0) *res = (vector(x,*n,*incx).cwiseProduct(vector(y,*n,*incy))).sum(); + else if(*incx<0 && *incy>0) *res = (vector(x,*n,-*incx).reverse().cwiseProduct(vector(y,*n,*incy))).sum(); + else if(*incx>0 && *incy<0) *res = (vector(x,*n,*incx).cwiseProduct(vector(y,*n,-*incy).reverse())).sum(); + else if(*incx<0 && *incy<0) *res = (vector(x,*n,-*incx).reverse().cwiseProduct(vector(y,*n,-*incy).reverse())).sum(); + return 0; +} + +RealScalar EIGEN_CAT(EIGEN_CAT(REAL_SCALAR_SUFFIX,SCALAR_SUFFIX),nrm2_)(int *n, RealScalar *px, int *incx) +{ +// std::cerr << "__nrm2 " << *n << " " << *incx << "\n"; + if(*n<=0) return 0; + + Scalar* x = reinterpret_cast<Scalar*>(px); + + if(*incx==1) + return vector(x,*n).stableNorm(); + + return vector(x,*n,*incx).stableNorm(); +} + +int EIGEN_CAT(EIGEN_CAT(SCALAR_SUFFIX,REAL_SCALAR_SUFFIX),rot_)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pc, RealScalar *ps) +{ + if(*n<=0) return 0; + + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + RealScalar c = *pc; + RealScalar s = *ps; + + StridedVectorType vx(vector(x,*n,std::abs(*incx))); + StridedVectorType vy(vector(y,*n,std::abs(*incy))); + + Reverse<StridedVectorType> rvx(vx); + Reverse<StridedVectorType> rvy(vy); + + // TODO implement mixed real-scalar rotations + if(*incx<0 && *incy>0) internal::apply_rotation_in_the_plane(rvx, vy, JacobiRotation<Scalar>(c,s)); + else if(*incx>0 && *incy<0) internal::apply_rotation_in_the_plane(vx, rvy, JacobiRotation<Scalar>(c,s)); + else internal::apply_rotation_in_the_plane(vx, vy, JacobiRotation<Scalar>(c,s)); + + return 0; +} + +int EIGEN_CAT(EIGEN_CAT(SCALAR_SUFFIX,REAL_SCALAR_SUFFIX),scal_)(int *n, RealScalar *palpha, RealScalar *px, int *incx) +{ + if(*n<=0) return 0; + + Scalar* x = reinterpret_cast<Scalar*>(px); + RealScalar alpha = *palpha; + +// std::cerr << "__scal " << *n << " " << alpha << " " << *incx << "\n"; + + if(*incx==1) vector(x,*n) *= alpha; + else vector(x,*n,std::abs(*incx)) *= alpha; + + return 0; +} + |