| // 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" |
| |
| // y = alpha*A*x + beta*y |
| int EIGEN_BLAS_FUNC(symv) (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"SYMV ",&info,6); |
| |
| if(*n==0) |
| return 0; |
| |
| 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; |
| } |
| |
| // 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; |
| } |
| |
| // C := alpha*x*x' + C |
| int EIGEN_BLAS_FUNC(syr)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pc, int *ldc) |
| { |
| |
| // typedef void (*functype)(int, const Scalar *, int, Scalar *, int, Scalar); |
| // static functype func[2]; |
| |
| // static bool init = false; |
| // if(!init) |
| // { |
| // for(int k=0; k<2; ++k) |
| // func[k] = 0; |
| // |
| // func[UP] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,UpperTriangular>::run); |
| // func[LO] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,LowerTriangular>::run); |
| |
| // init = true; |
| // } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* c = reinterpret_cast<Scalar*>(pc); |
| 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(*ldc<std::max(1,*n)) info = 7; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"SYR ",&info,6); |
| |
| if(*n==0 || alpha==Scalar(0)) return 1; |
| |
| // if the increment is not 1, let's copy it to a temporary vector to enable vectorization |
| Scalar* x_cpy = get_compact_vector(x,*n,*incx); |
| |
| Matrix<Scalar,Dynamic,Dynamic> m2(matrix(c,*n,*n,*ldc)); |
| |
| // TODO check why this is not accurate enough for lapack tests |
| // if(UPLO(*uplo)==LO) matrix(c,*n,*n,*ldc).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), alpha); |
| // else if(UPLO(*uplo)==UP) matrix(c,*n,*n,*ldc).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), alpha); |
| |
| if(UPLO(*uplo)==LO) |
| for(int j=0;j<*n;++j) |
| matrix(c,*n,*n,*ldc).col(j).tail(*n-j) += alpha * x_cpy[j] * vector(x_cpy+j,*n-j); |
| else |
| for(int j=0;j<*n;++j) |
| matrix(c,*n,*n,*ldc).col(j).head(j+1) += alpha * x_cpy[j] * vector(x_cpy,j+1); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| |
| return 1; |
| } |
| |
| // C := alpha*x*y' + alpha*y*x' + C |
| int EIGEN_BLAS_FUNC(syr2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pc, int *ldc) |
| { |
| // typedef void (*functype)(int, const Scalar *, int, const Scalar *, int, Scalar *, int, Scalar); |
| // static functype func[2]; |
| // |
| // static bool init = false; |
| // if(!init) |
| // { |
| // for(int k=0; k<2; ++k) |
| // func[k] = 0; |
| // |
| // func[UP] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,UpperTriangular>::run); |
| // func[LO] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,LowerTriangular>::run); |
| // |
| // init = true; |
| // } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar* c = reinterpret_cast<Scalar*>(pc); |
| 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(*ldc<std::max(1,*n)) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"SYR2 ",&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(c,*n,*n,*ldc).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), vector(y_cpy,*n), alpha); |
| else if(UPLO(*uplo)==UP) matrix(c,*n,*n,*ldc).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), vector(y_cpy,*n), alpha); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| if(y_cpy!=y) delete[] y_cpy; |
| |
| // int code = UPLO(*uplo); |
| // if(code>=2 || func[code]==0) |
| // return 0; |
| |
| // func[code](*n, a, *inca, b, *incb, c, *ldc, alpha); |
| return 1; |
| } |
| |
| /** DSBMV 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 symmetric band matrix, with k super-diagonals. |
| */ |
| // int EIGEN_BLAS_FUNC(sbmv)( char *uplo, int *n, int *k, RealScalar *alpha, RealScalar *a, int *lda, |
| // RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) |
| // { |
| // return 1; |
| // } |
| |
| |
| /** DSPMV 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 symmetric matrix, supplied in packed form. |
| * |
| */ |
| // int EIGEN_BLAS_FUNC(spmv)(char *uplo, int *n, RealScalar *alpha, RealScalar *ap, RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) |
| // { |
| // return 1; |
| // } |
| |
| /** DSPR performs the symmetric rank 1 operation |
| * |
| * A := alpha*x*x' + A, |
| * |
| * where alpha is a real scalar, x is an n element vector and A is an |
| * n by n symmetric matrix, supplied in packed form. |
| */ |
| // int EIGEN_BLAS_FUNC(spr)(char *uplo, int *n, Scalar *alpha, Scalar *x, int *incx, Scalar *ap) |
| // { |
| // return 1; |
| // } |
| |
| /** DSPR2 performs the symmetric rank 2 operation |
| * |
| * A := alpha*x*y' + alpha*y*x' + A, |
| * |
| * where alpha is a scalar, x and y are n element vectors and A is an |
| * n by n symmetric matrix, supplied in packed form. |
| */ |
| // int EIGEN_BLAS_FUNC(spr2)(char *uplo, int *n, RealScalar *alpha, RealScalar *x, int *incx, RealScalar *y, int *incy, RealScalar *ap) |
| // { |
| // return 1; |
| // } |
| |