// // LAPACK++ 1.1 Linear Algebra Package 1.1 // University of Tennessee, Knoxvilee, TN. // Oak Ridge National Laboratory, Oak Ridge, TN. // Authors: J. J. Dongarra, E. Greaser, R. Pozo, D. Walker // (C) 1992-1996 All Rights Reserved // // NOTICE // // Permission to use, copy, modify, and distribute this software and // its documentation for any purpose and without fee is hereby granted // provided that the above copyright notice appear in all copies and // that both the copyright notice and this permission notice appear in // supporting documentation. // // Neither the Institutions (University of Tennessee, and Oak Ridge National // Laboratory) nor the Authors make any representations about the suitability // of this software for any purpose. This software is provided ``as is'' // without express or implied warranty. // // LAPACK++ was funded in part by the U.S. Department of Energy, the // National Science Foundation and the State of Tennessee. #ifdef HAVE_CONFIG_H # include #endif #include "lafnames.h" #include LA_EXCEPTION_H #include LA_VECTOR_DOUBLE_H #include LA_SYMM_MAT_DOUBLE_H #include LA_UNIT_UPPER_TRIANG_MAT_DOUBLE_H #include LA_UPPER_TRIANG_MAT_DOUBLE_H #include LA_UNIT_LOWER_TRIANG_MAT_DOUBLE_H #include LA_LOWER_TRIANG_MAT_DOUBLE_H #include LA_SPD_MAT_DOUBLE_H #include LA_SYMM_BAND_MAT_DOUBLE_H #include LA_TRIDIAG_MAT_DOUBLE_H #ifdef LA_COMPLEX_SUPPORT # include "f2c.h" # include "lapackc.h" # include LA_VECTOR_COMPLEX_H # include LA_GEN_MAT_COMPLEX_H #endif #include "blas2pp.h" void Blas_Mat_Trans_Vec_Mult(const LaGenMatDouble &A, const LaVectorDouble &dx, LaVectorDouble &dy, double alpha, double beta) { char trans = 'T'; integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); assert(A.size(1) == dy.size()); assert(A.size(0) == dx.size()); F77NAME(dgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_Mat_Vec_Mult(const LaGenMatDouble &A, const LaVectorDouble &dx, LaVectorDouble &dy, double alpha , double beta ) { char trans = 'N'; integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); assert(A.size(0) == dy.size()); assert(A.size(1) == dx.size()); F77NAME(dgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_Mat_Vec_Mult(const LaSymmBandMatDouble &A, const LaVectorDouble &dx, LaVectorDouble &dy, double alpha , double beta ) { char uplo = 'L'; integer N = A.size(1), lda = A.gdim(0), k = A.subdiags(), incx = dx.inc(), incy = dy.inc(); assert(A.size(0) == dy.size()); assert(A.size(1) == dx.size()); F77NAME(dsbmv)(&uplo, &N, &k, &alpha, &A(0,0), &lda, &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_Mat_Vec_Mult(const LaSpdMatDouble &AP, const LaVectorDouble &dx, LaVectorDouble &dy, double alpha , double beta ) { char uplo = 'L'; integer N = AP.size(1), incx = dx.inc(), incy = dy.inc(); assert(AP.size(0) == dy.size()); assert(AP.size(1) == dx.size()); F77NAME(dspmv)(&uplo, &N, &alpha, &AP(0,0), &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_Mat_Vec_Mult(const LaLowerTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'L', trans = 'N', diag = 'N'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dx.size()); F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Mult(const LaUpperTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'U', trans = 'N', diag = 'N'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dx.size()); F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Mult(const LaUnitLowerTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'L', trans = 'N', diag = 'U'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dx.size()); F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Mult(const LaUnitUpperTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'U', trans = 'N', diag = 'U'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dx.size()); F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Solve(LaLowerTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'L', trans = 'N', diag = 'N'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Solve(LaUpperTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'U', trans = 'N', diag = 'N'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Solve(LaUnitLowerTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'L', trans = 'N', diag = 'U'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_Mat_Vec_Solve(LaUnitUpperTriangMatDouble &A, LaVectorDouble &dx) { char uplo = 'U', trans = 'N', diag = 'U'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx); } void Blas_R1_Update(LaGenMatDouble &A, const LaVectorDouble &dx, const LaVectorDouble &dy, double alpha ) { integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dy.size()); F77NAME(dger)(&M, &N, &alpha, &dx(0), &incx, &dy(0), &incy, &A(0,0), &lda); } void Blas_R1_Update(LaSymmMatDouble &A, const LaVectorDouble &dx, double alpha ) { char uplo = 'L'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(); assert(A.size(0) == dx.size()); assert(A.size(1) == dx.size()); F77NAME(dsyr)(&uplo, &N, &alpha, &dx(0), &incx, &A(0,0), &lda); } void Blas_R1_Update(LaSpdMatDouble &AP, const LaVectorDouble &dx, double alpha ) { char uplo = 'L'; integer N = AP.size(1), incx = dx.inc(); assert(AP.size(0) == dx.size()); assert(AP.size(1) == dx.size()); F77NAME(dspr)(&uplo, &N, &alpha, &dx(0), &incx, &AP(0,0)); } void Blas_R2_Update(LaSymmMatDouble &A, const LaVectorDouble &dx, const LaVectorDouble &dy, double alpha ) { char uplo = 'L'; integer N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); F77NAME(dsyr2)(&uplo, &N, &alpha, &dx(0), &incx, &dy(0), &incy, &A(0,0), &lda); } void Blas_R2_Update(LaSpdMatDouble &AP, const LaVectorDouble &dx, const LaVectorDouble &dy, double alpha ) { char uplo = 'L'; integer N = AP.size(1), incx = dx.inc(), incy = dy.inc(); assert(AP.size(0) == dx.size()); assert(AP.size(0) == dy.size()); F77NAME(dspr2)(&uplo, &N, &alpha, &dx(0), &incx, &dy(0), &incy, &AP(0,0)); } #ifdef LA_COMPLEX_SUPPORT void Blas_Mat_Vec_Mult(const LaGenMatComplex &A, const LaVectorComplex &dx, LaVectorComplex &dy, LaComplex _alpha, LaComplex _beta) { char trans = 'N'; doublecomplex alpha(_alpha); doublecomplex beta(_beta); integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); assert(A.size(0) == dy.size()); assert(A.size(1) == dx.size()); F77NAME(zgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_Mat_Trans_Vec_Mult(const LaGenMatComplex &A, const LaVectorComplex &dx, LaVectorComplex &dy, LaComplex _alpha, LaComplex _beta) { char trans = 'C'; integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); doublecomplex alpha(_alpha); doublecomplex beta(_beta); assert(A.size(1) == dy.size()); assert(A.size(0) == dx.size()); F77NAME(zgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx, &beta, &dy(0), &incy); } void Blas_R1_Update(LaGenMatComplex &A, const LaVectorComplex &dx, const LaVectorComplex &dy, LaComplex _alpha) { integer M = A.size(0), N = A.size(1), lda = A.gdim(0), incx = dx.inc(), incy = dy.inc(); doublecomplex alpha(_alpha); assert(A.size(0) == dx.size()); assert(A.size(1) == dy.size()); F77NAME(zgerc)(&M, &N, &alpha, &dx(0), &incx, &dy(0), &incy, &A(0,0), &lda); } #endif /* LA_COMPLEX_SUPPORT */