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270 lines
9.6 KiB
270 lines
9.6 KiB
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include "common.h"
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/** ZHEMV performs the matrix-vector operation
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*
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* y := alpha*A*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are n element vectors and
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* A is an n by n hermitian matrix.
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*/
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int EIGEN_BLAS_FUNC(hemv)(char *uplo, int *n, RealScalar *palpha, RealScalar *pa, int *lda, RealScalar *px, int *incx, RealScalar *pbeta, RealScalar *py, int *incy)
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{
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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Scalar beta = *reinterpret_cast<Scalar*>(pbeta);
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// check arguments
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*lda<std::max(1,*n)) info = 5;
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else if(*incx==0) info = 7;
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else if(*incy==0) info = 10;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"HEMV ",&info,6);
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if(*n==0)
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return 1;
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Scalar* actual_x = get_compact_vector(x,*n,*incx);
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Scalar* actual_y = get_compact_vector(y,*n,*incy);
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if(beta!=Scalar(1))
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{
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if(beta==Scalar(0)) vector(actual_y, *n).setZero();
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else vector(actual_y, *n) *= beta;
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}
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if(alpha!=Scalar(0))
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{
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// TODO performs a direct call to the underlying implementation function
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if(UPLO(*uplo)==UP) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Upper>() * (alpha * vector(actual_x,*n));
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else if(UPLO(*uplo)==LO) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Lower>() * (alpha * vector(actual_x,*n));
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}
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if(actual_x!=x) delete[] actual_x;
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if(actual_y!=y) delete[] copy_back(actual_y,y,*n,*incy);
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return 1;
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}
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/** ZHBMV performs the matrix-vector operation
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*
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* y := alpha*A*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are n element vectors and
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* A is an n by n hermitian band matrix, with k super-diagonals.
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*/
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// int EIGEN_BLAS_FUNC(hbmv)(char *uplo, int *n, int *k, RealScalar *alpha, RealScalar *a, int *lda,
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// RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy)
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// {
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// return 1;
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// }
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/** ZHPMV performs the matrix-vector operation
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*
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* y := alpha*A*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are n element vectors and
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* A is an n by n hermitian matrix, supplied in packed form.
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*/
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// int EIGEN_BLAS_FUNC(hpmv)(char *uplo, int *n, RealScalar *alpha, RealScalar *ap, RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy)
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// {
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// return 1;
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// }
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/** ZHPR performs the hermitian rank 1 operation
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*
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* A := alpha*x*conjg( x' ) + A,
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*
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* where alpha is a real scalar, x is an n element vector and A is an
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* n by n hermitian matrix, supplied in packed form.
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*/
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// int EIGEN_BLAS_FUNC(hpr)(char *uplo, int *n, RealScalar *alpha, RealScalar *x, int *incx, RealScalar *ap)
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// {
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// return 1;
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// }
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/** ZHPR2 performs the hermitian rank 2 operation
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*
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* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
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*
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* where alpha is a scalar, x and y are n element vectors and A is an
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* n by n hermitian matrix, supplied in packed form.
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*/
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// int EIGEN_BLAS_FUNC(hpr2)(char *uplo, int *n, RealScalar *palpha, RealScalar *x, int *incx, RealScalar *y, int *incy, RealScalar *ap)
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// {
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// return 1;
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// }
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/** ZHER performs the hermitian rank 1 operation
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*
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* A := alpha*x*conjg( x' ) + A,
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*
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* where alpha is a real scalar, x is an n element vector and A is an
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* n by n hermitian matrix.
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*/
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int EIGEN_BLAS_FUNC(her)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pa, int *lda)
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{
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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RealScalar alpha = *reinterpret_cast<RealScalar*>(palpha);
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*lda<std::max(1,*n)) info = 7;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"HER ",&info,6);
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if(alpha==RealScalar(0))
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return 1;
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Scalar* x_cpy = get_compact_vector(x, *n, *incx);
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// TODO perform direct calls to underlying implementation
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// if(UPLO(*uplo)==LO) matrix(a,*n,*n,*lda).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), alpha);
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// else if(UPLO(*uplo)==UP) matrix(a,*n,*n,*lda).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), alpha);
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if(UPLO(*uplo)==LO)
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for(int j=0;j<*n;++j)
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matrix(a,*n,*n,*lda).col(j).tail(*n-j) += alpha * internal::conj(x_cpy[j]) * vector(x_cpy+j,*n-j);
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else
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for(int j=0;j<*n;++j)
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matrix(a,*n,*n,*lda).col(j).head(j+1) += alpha * internal::conj(x_cpy[j]) * vector(x_cpy,j+1);
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matrix(a,*n,*n,*lda).diagonal().imag().setZero();
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if(x_cpy!=x) delete[] x_cpy;
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return 1;
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}
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/** ZHER2 performs the hermitian rank 2 operation
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*
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* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
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*
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* where alpha is a scalar, x and y are n element vectors and A is an n
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* by n hermitian matrix.
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*/
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int EIGEN_BLAS_FUNC(her2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda)
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{
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*incy==0) info = 7;
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else if(*lda<std::max(1,*n)) info = 9;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"HER2 ",&info,6);
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if(alpha==Scalar(0))
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return 1;
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Scalar* x_cpy = get_compact_vector(x, *n, *incx);
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Scalar* y_cpy = get_compact_vector(y, *n, *incy);
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// TODO perform direct calls to underlying implementation
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if(UPLO(*uplo)==LO) matrix(a,*n,*n,*lda).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n),vector(y_cpy,*n),alpha);
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else if(UPLO(*uplo)==UP) matrix(a,*n,*n,*lda).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n),vector(y_cpy,*n),alpha);
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matrix(a,*n,*n,*lda).diagonal().imag().setZero();
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if(x_cpy!=x) delete[] x_cpy;
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if(y_cpy!=y) delete[] y_cpy;
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return 1;
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}
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/** ZGERU performs the rank 1 operation
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*
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* A := alpha*x*y' + A,
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*
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* where alpha is a scalar, x is an m element vector, y is an n element
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* vector and A is an m by n matrix.
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*/
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int EIGEN_BLAS_FUNC(geru)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda)
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{
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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int info = 0;
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if(*m<0) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*incy==0) info = 7;
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else if(*lda<std::max(1,*m)) info = 9;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"GERU ",&info,6);
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if(alpha==Scalar(0))
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return 1;
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Scalar* x_cpy = get_compact_vector(x,*m,*incx);
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Scalar* y_cpy = get_compact_vector(y,*n,*incy);
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// TODO perform direct calls to underlying implementation
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matrix(a,*m,*n,*lda) += alpha * vector(x_cpy,*m) * vector(y_cpy,*n).transpose();
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if(x_cpy!=x) delete[] x_cpy;
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if(y_cpy!=y) delete[] y_cpy;
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return 1;
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}
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/** ZGERC performs the rank 1 operation
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*
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* A := alpha*x*conjg( y' ) + A,
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*
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* where alpha is a scalar, x is an m element vector, y is an n element
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* vector and A is an m by n matrix.
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*/
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int EIGEN_BLAS_FUNC(gerc)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda)
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{
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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int info = 0;
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if(*m<0) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*incy==0) info = 7;
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else if(*lda<std::max(1,*m)) info = 9;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"GERC ",&info,6);
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if(alpha==Scalar(0))
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return 1;
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Scalar* x_cpy = get_compact_vector(x,*m,*incx);
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Scalar* y_cpy = get_compact_vector(y,*n,*incy);
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// TODO perform direct calls to underlying implementation
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matrix(a,*m,*n,*lda) += alpha * vector(x_cpy,*m) * vector(y_cpy,*n).adjoint();
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if(x_cpy!=x) delete[] x_cpy;
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if(y_cpy!=y) delete[] y_cpy;
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return 1;
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}
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