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Diffstat (limited to 'blas/level2_cplx_impl.h')
| -rw-r--r-- | blas/level2_cplx_impl.h | 285 |
1 files changed, 285 insertions, 0 deletions
diff --git a/blas/level2_cplx_impl.h b/blas/level2_cplx_impl.h new file mode 100644 index 000000000..cbbf4f3e9 --- /dev/null +++ b/blas/level2_cplx_impl.h @@ -0,0 +1,285 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr> +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, you can redistribute it and/or +// modify it under the terms of the GNU General Public License as +// published by the Free Software Foundation; either version 2 of +// the License, or (at your option) any later version. +// +// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY +// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see <http://www.gnu.org/licenses/>. + +#include "common.h" + +/** ZHEMV performs the matrix-vector operation + * + * y := alpha*A*x + beta*y, + * + * where alpha and beta are scalars, x and y are n element vectors and + * A is an n by n hermitian matrix. + */ +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) +{ + Scalar* a = reinterpret_cast<Scalar*>(pa); + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar alpha = *reinterpret_cast<Scalar*>(palpha); + Scalar beta = *reinterpret_cast<Scalar*>(pbeta); + + // check arguments + int info = 0; + if(UPLO(*uplo)==INVALID) info = 1; + else if(*n<0) info = 2; + else if(*lda<std::max(1,*n)) info = 5; + else if(*incx==0) info = 7; + else if(*incy==0) info = 10; + if(info) + return xerbla_(SCALAR_SUFFIX_UP"HEMV ",&info,6); + + if(*n==0) + return 1; + + Scalar* actual_x = get_compact_vector(x,*n,*incx); + Scalar* actual_y = get_compact_vector(y,*n,*incy); + + if(beta!=Scalar(1)) + { + if(beta==Scalar(0)) vector(actual_y, *n).setZero(); + else vector(actual_y, *n) *= beta; + } + + if(alpha!=Scalar(0)) + { + // TODO performs a direct call to the underlying implementation function + if(UPLO(*uplo)==UP) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Upper>() * (alpha * vector(actual_x,*n)); + else if(UPLO(*uplo)==LO) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Lower>() * (alpha * vector(actual_x,*n)); + } + + if(actual_x!=x) delete[] actual_x; + if(actual_y!=y) delete[] copy_back(actual_y,y,*n,*incy); + + return 1; +} + +/** ZHBMV performs the matrix-vector operation + * + * y := alpha*A*x + beta*y, + * + * where alpha and beta are scalars, x and y are n element vectors and + * A is an n by n hermitian band matrix, with k super-diagonals. + */ +// int EIGEN_BLAS_FUNC(hbmv)(char *uplo, int *n, int *k, RealScalar *alpha, RealScalar *a, int *lda, +// RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) +// { +// return 1; +// } + +/** ZHPMV performs the matrix-vector operation + * + * y := alpha*A*x + beta*y, + * + * where alpha and beta are scalars, x and y are n element vectors and + * A is an n by n hermitian matrix, supplied in packed form. + */ +// int EIGEN_BLAS_FUNC(hpmv)(char *uplo, int *n, RealScalar *alpha, RealScalar *ap, RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) +// { +// return 1; +// } + +/** ZHPR performs the hermitian rank 1 operation + * + * A := alpha*x*conjg( x' ) + A, + * + * where alpha is a real scalar, x is an n element vector and A is an + * n by n hermitian matrix, supplied in packed form. + */ +// int EIGEN_BLAS_FUNC(hpr)(char *uplo, int *n, RealScalar *alpha, RealScalar *x, int *incx, RealScalar *ap) +// { +// return 1; +// } + +/** ZHPR2 performs the hermitian rank 2 operation + * + * A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, + * + * where alpha is a scalar, x and y are n element vectors and A is an + * n by n hermitian matrix, supplied in packed form. + */ +// int EIGEN_BLAS_FUNC(hpr2)(char *uplo, int *n, RealScalar *palpha, RealScalar *x, int *incx, RealScalar *y, int *incy, RealScalar *ap) +// { +// return 1; +// } + +/** ZHER performs the hermitian rank 1 operation + * + * A := alpha*x*conjg( x' ) + A, + * + * where alpha is a real scalar, x is an n element vector and A is an + * n by n hermitian matrix. + */ +int EIGEN_BLAS_FUNC(her)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pa, int *lda) +{ + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* a = reinterpret_cast<Scalar*>(pa); + RealScalar alpha = *reinterpret_cast<RealScalar*>(palpha); + + int info = 0; + if(UPLO(*uplo)==INVALID) info = 1; + else if(*n<0) info = 2; + else if(*incx==0) info = 5; + else if(*lda<std::max(1,*n)) info = 7; + if(info) + return xerbla_(SCALAR_SUFFIX_UP"HER ",&info,6); + + if(alpha==RealScalar(0)) + return 1; + + Scalar* x_cpy = get_compact_vector(x, *n, *incx); + + // TODO perform direct calls to underlying implementation +// if(UPLO(*uplo)==LO) matrix(a,*n,*n,*lda).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), alpha); +// else if(UPLO(*uplo)==UP) matrix(a,*n,*n,*lda).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), alpha); + + if(UPLO(*uplo)==LO) + for(int j=0;j<*n;++j) + matrix(a,*n,*n,*lda).col(j).tail(*n-j) += alpha * internal::conj(x_cpy[j]) * vector(x_cpy+j,*n-j); + else + for(int j=0;j<*n;++j) + matrix(a,*n,*n,*lda).col(j).head(j+1) += alpha * internal::conj(x_cpy[j]) * vector(x_cpy,j+1); + + matrix(a,*n,*n,*lda).diagonal().imag().setZero(); + + if(x_cpy!=x) delete[] x_cpy; + + return 1; +} + +/** ZHER2 performs the hermitian rank 2 operation + * + * A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, + * + * where alpha is a scalar, x and y are n element vectors and A is an n + * by n hermitian matrix. + */ +int EIGEN_BLAS_FUNC(her2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) +{ + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar* a = reinterpret_cast<Scalar*>(pa); + Scalar alpha = *reinterpret_cast<Scalar*>(palpha); + + int info = 0; + if(UPLO(*uplo)==INVALID) info = 1; + else if(*n<0) info = 2; + else if(*incx==0) info = 5; + else if(*incy==0) info = 7; + else if(*lda<std::max(1,*n)) info = 9; + if(info) + return xerbla_(SCALAR_SUFFIX_UP"HER2 ",&info,6); + + if(alpha==Scalar(0)) + return 1; + + Scalar* x_cpy = get_compact_vector(x, *n, *incx); + Scalar* y_cpy = get_compact_vector(y, *n, *incy); + + // TODO perform direct calls to underlying implementation + if(UPLO(*uplo)==LO) matrix(a,*n,*n,*lda).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n),vector(y_cpy,*n),alpha); + else if(UPLO(*uplo)==UP) matrix(a,*n,*n,*lda).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n),vector(y_cpy,*n),alpha); + + matrix(a,*n,*n,*lda).diagonal().imag().setZero(); + + if(x_cpy!=x) delete[] x_cpy; + if(y_cpy!=y) delete[] y_cpy; + + return 1; +} + +/** ZGERU performs the rank 1 operation + * + * A := alpha*x*y' + A, + * + * where alpha is a scalar, x is an m element vector, y is an n element + * vector and A is an m by n matrix. + */ +int EIGEN_BLAS_FUNC(geru)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) +{ + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar* a = reinterpret_cast<Scalar*>(pa); + Scalar alpha = *reinterpret_cast<Scalar*>(palpha); + + int info = 0; + if(*m<0) info = 1; + else if(*n<0) info = 2; + else if(*incx==0) info = 5; + else if(*incy==0) info = 7; + else if(*lda<std::max(1,*m)) info = 9; + if(info) + return xerbla_(SCALAR_SUFFIX_UP"GERU ",&info,6); + + if(alpha==Scalar(0)) + return 1; + + Scalar* x_cpy = get_compact_vector(x,*m,*incx); + Scalar* y_cpy = get_compact_vector(y,*n,*incy); + + // TODO perform direct calls to underlying implementation + matrix(a,*m,*n,*lda) += alpha * vector(x_cpy,*m) * vector(y_cpy,*n).transpose(); + + if(x_cpy!=x) delete[] x_cpy; + if(y_cpy!=y) delete[] y_cpy; + + return 1; +} + +/** ZGERC performs the rank 1 operation + * + * A := alpha*x*conjg( y' ) + A, + * + * where alpha is a scalar, x is an m element vector, y is an n element + * vector and A is an m by n matrix. + */ +int EIGEN_BLAS_FUNC(gerc)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) +{ + Scalar* x = reinterpret_cast<Scalar*>(px); + Scalar* y = reinterpret_cast<Scalar*>(py); + Scalar* a = reinterpret_cast<Scalar*>(pa); + Scalar alpha = *reinterpret_cast<Scalar*>(palpha); + + int info = 0; + if(*m<0) info = 1; + else if(*n<0) info = 2; + else if(*incx==0) info = 5; + else if(*incy==0) info = 7; + else if(*lda<std::max(1,*m)) info = 9; + if(info) + return xerbla_(SCALAR_SUFFIX_UP"GERC ",&info,6); + + if(alpha==Scalar(0)) + return 1; + + Scalar* x_cpy = get_compact_vector(x,*m,*incx); + Scalar* y_cpy = get_compact_vector(y,*n,*incy); + + // TODO perform direct calls to underlying implementation + matrix(a,*m,*n,*lda) += alpha * vector(x_cpy,*m) * vector(y_cpy,*n).adjoint(); + + if(x_cpy!=x) delete[] x_cpy; + if(y_cpy!=y) delete[] y_cpy; + + return 1; +} |