| // 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" |
| |
| template<typename Index, typename Scalar, int StorageOrder, bool ConjugateLhs, bool ConjugateRhs> |
| struct general_matrix_vector_product_wrapper |
| { |
| static void run(Index rows, Index cols,const Scalar *lhs, Index lhsStride, const Scalar *rhs, Index rhsIncr, Scalar* res, Index resIncr, Scalar alpha) |
| { |
| typedef internal::const_blas_data_mapper<Scalar,Index,StorageOrder> LhsMapper; |
| typedef internal::const_blas_data_mapper<Scalar,Index,RowMajor> RhsMapper; |
| |
| internal::general_matrix_vector_product |
| <Index,Scalar,LhsMapper,StorageOrder,ConjugateLhs,Scalar,RhsMapper,ConjugateRhs>::run( |
| rows, cols, LhsMapper(lhs, lhsStride), RhsMapper(rhs, rhsIncr), res, resIncr, alpha); |
| } |
| }; |
| |
| int EIGEN_BLAS_FUNC(gemv)(const char *opa, const int *m, const int *n, const RealScalar *palpha, |
| const RealScalar *pa, const int *lda, const RealScalar *pb, const int *incb, const RealScalar *pbeta, RealScalar *pc, const int *incc) |
| { |
| typedef void (*functype)(int, int, const Scalar *, int, const Scalar *, int , Scalar *, int, Scalar); |
| static const functype func[4] = { |
| // array index: NOTR |
| (general_matrix_vector_product_wrapper<int,Scalar,ColMajor,false,false>::run), |
| // array index: TR |
| (general_matrix_vector_product_wrapper<int,Scalar,RowMajor,false,false>::run), |
| // array index: ADJ |
| (general_matrix_vector_product_wrapper<int,Scalar,RowMajor,Conj ,false>::run), |
| 0 |
| }; |
| |
| const Scalar* a = reinterpret_cast<const Scalar*>(pa); |
| const Scalar* b = reinterpret_cast<const Scalar*>(pb); |
| Scalar* c = reinterpret_cast<Scalar*>(pc); |
| Scalar alpha = *reinterpret_cast<const Scalar*>(palpha); |
| Scalar beta = *reinterpret_cast<const Scalar*>(pbeta); |
| |
| // check arguments |
| int info = 0; |
| if(OP(*opa)==INVALID) info = 1; |
| else if(*m<0) info = 2; |
| else if(*n<0) info = 3; |
| else if(*lda<std::max(1,*m)) info = 6; |
| else if(*incb==0) info = 8; |
| else if(*incc==0) info = 11; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"GEMV ",&info,6); |
| |
| if(*m==0 || *n==0 || (alpha==Scalar(0) && beta==Scalar(1))) |
| return 0; |
| |
| int actual_m = *m; |
| int actual_n = *n; |
| int code = OP(*opa); |
| if(code!=NOTR) |
| std::swap(actual_m,actual_n); |
| |
| const Scalar* actual_b = get_compact_vector(b,actual_n,*incb); |
| Scalar* actual_c = get_compact_vector(c,actual_m,*incc); |
| |
| if(beta!=Scalar(1)) |
| { |
| if(beta==Scalar(0)) make_vector(actual_c, actual_m).setZero(); |
| else make_vector(actual_c, actual_m) *= beta; |
| } |
| |
| if(code>=4 || func[code]==0) |
| return 0; |
| |
| func[code](actual_m, actual_n, a, *lda, actual_b, 1, actual_c, 1, alpha); |
| |
| if(actual_b!=b) delete[] actual_b; |
| if(actual_c!=c) delete[] copy_back(actual_c,c,actual_m,*incc); |
| |
| return 1; |
| } |
| |
| int EIGEN_BLAS_FUNC(trsv)(const char *uplo, const char *opa, const char *diag, const int *n, const RealScalar *pa, const int *lda, RealScalar *pb, const int *incb) |
| { |
| typedef void (*functype)(int, const Scalar *, int, Scalar *); |
| static const functype func[16] = { |
| // array index: NOTR | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (UP << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (UNIT << 3) |
| (internal::triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,Conj, RowMajor>::run), |
| 0 |
| }; |
| |
| const Scalar* a = reinterpret_cast<const Scalar*>(pa); |
| Scalar* b = reinterpret_cast<Scalar*>(pb); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*opa)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*lda<std::max(1,*n)) info = 6; |
| else if(*incb==0) info = 8; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TRSV ",&info,6); |
| |
| Scalar* actual_b = get_compact_vector(b,*n,*incb); |
| |
| int code = OP(*opa) | (UPLO(*uplo) << 2) | (DIAG(*diag) << 3); |
| func[code](*n, a, *lda, actual_b); |
| |
| if(actual_b!=b) delete[] copy_back(actual_b,b,*n,*incb); |
| |
| return 0; |
| } |
| |
| |
| |
| int EIGEN_BLAS_FUNC(trmv)(const char *uplo, const char *opa, const char *diag, const int *n, const RealScalar *pa, const int *lda, RealScalar *pb, const int *incb) |
| { |
| typedef void (*functype)(int, int, const Scalar *, int, const Scalar *, int, Scalar *, int, const Scalar&); |
| static const functype func[16] = { |
| // array index: NOTR | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|0, Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|0, Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|0, Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|0, Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|0, Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (NUNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|0, Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (UP << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (UNIT << 3) |
| (internal::triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0 |
| }; |
| |
| const Scalar* a = reinterpret_cast<const Scalar*>(pa); |
| Scalar* b = reinterpret_cast<Scalar*>(pb); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*opa)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*lda<std::max(1,*n)) info = 6; |
| else if(*incb==0) info = 8; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TRMV ",&info,6); |
| |
| if(*n==0) |
| return 1; |
| |
| Scalar* actual_b = get_compact_vector(b,*n,*incb); |
| Matrix<Scalar,Dynamic,1> res(*n); |
| res.setZero(); |
| |
| int code = OP(*opa) | (UPLO(*uplo) << 2) | (DIAG(*diag) << 3); |
| if(code>=16 || func[code]==0) |
| return 0; |
| |
| func[code](*n, *n, a, *lda, actual_b, 1, res.data(), 1, Scalar(1)); |
| |
| copy_back(res.data(),b,*n,*incb); |
| if(actual_b!=b) delete[] actual_b; |
| |
| return 1; |
| } |
| |
| /** GBMV performs one of the matrix-vector operations |
| * |
| * y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, |
| * |
| * where alpha and beta are scalars, x and y are vectors and A is an |
| * m by n band matrix, with kl sub-diagonals and ku super-diagonals. |
| */ |
| int EIGEN_BLAS_FUNC(gbmv)(char *trans, int *m, int *n, int *kl, int *ku, RealScalar *palpha, RealScalar *pa, int *lda, |
| RealScalar *px, int *incx, RealScalar *pbeta, RealScalar *py, int *incy) |
| { |
| const Scalar* a = reinterpret_cast<const Scalar*>(pa); |
| const Scalar* x = reinterpret_cast<const Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar alpha = *reinterpret_cast<const Scalar*>(palpha); |
| Scalar beta = *reinterpret_cast<const Scalar*>(pbeta); |
| int coeff_rows = *kl+*ku+1; |
| |
| int info = 0; |
| if(OP(*trans)==INVALID) info = 1; |
| else if(*m<0) info = 2; |
| else if(*n<0) info = 3; |
| else if(*kl<0) info = 4; |
| else if(*ku<0) info = 5; |
| else if(*lda<coeff_rows) info = 8; |
| else if(*incx==0) info = 10; |
| else if(*incy==0) info = 13; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"GBMV ",&info,6); |
| |
| if(*m==0 || *n==0 || (alpha==Scalar(0) && beta==Scalar(1))) |
| return 0; |
| |
| int actual_m = *m; |
| int actual_n = *n; |
| if(OP(*trans)!=NOTR) |
| std::swap(actual_m,actual_n); |
| |
| const Scalar* actual_x = get_compact_vector(x,actual_n,*incx); |
| Scalar* actual_y = get_compact_vector(y,actual_m,*incy); |
| |
| if(beta!=Scalar(1)) |
| { |
| if(beta==Scalar(0)) make_vector(actual_y, actual_m).setZero(); |
| else make_vector(actual_y, actual_m) *= beta; |
| } |
| |
| ConstMatrixType mat_coeffs(a,coeff_rows,*n,*lda); |
| |
| int nb = std::min(*n,(*m)+(*ku)); |
| for(int j=0; j<nb; ++j) |
| { |
| int start = std::max(0,j - *ku); |
| int end = std::min((*m)-1,j + *kl); |
| int len = end - start + 1; |
| int offset = (*ku) - j + start; |
| if(OP(*trans)==NOTR) |
| make_vector(actual_y+start,len) += (alpha*actual_x[j]) * mat_coeffs.col(j).segment(offset,len); |
| else if(OP(*trans)==TR) |
| actual_y[j] += alpha * ( mat_coeffs.col(j).segment(offset,len).transpose() * make_vector(actual_x+start,len) ).value(); |
| else |
| actual_y[j] += alpha * ( mat_coeffs.col(j).segment(offset,len).adjoint() * make_vector(actual_x+start,len) ).value(); |
| } |
| |
| if(actual_x!=x) delete[] actual_x; |
| if(actual_y!=y) delete[] copy_back(actual_y,y,actual_m,*incy); |
| |
| return 0; |
| } |
| |
| #if 0 |
| /** TBMV performs one of the matrix-vector operations |
| * |
| * x := A*x, or x := A'*x, |
| * |
| * where x is an n element vector and A is an n by n unit, or non-unit, |
| * upper or lower triangular band matrix, with ( k + 1 ) diagonals. |
| */ |
| int EIGEN_BLAS_FUNC(tbmv)(char *uplo, char *opa, char *diag, int *n, int *k, RealScalar *pa, int *lda, RealScalar *px, int *incx) |
| { |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| int coeff_rows = *k + 1; |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*opa)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*k<0) info = 5; |
| else if(*lda<coeff_rows) info = 7; |
| else if(*incx==0) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TBMV ",&info,6); |
| |
| if(*n==0) |
| return 0; |
| |
| int actual_n = *n; |
| |
| Scalar* actual_x = get_compact_vector(x,actual_n,*incx); |
| |
| MatrixType mat_coeffs(a,coeff_rows,*n,*lda); |
| |
| int ku = UPLO(*uplo)==UPPER ? *k : 0; |
| int kl = UPLO(*uplo)==LOWER ? *k : 0; |
| |
| for(int j=0; j<*n; ++j) |
| { |
| int start = std::max(0,j - ku); |
| int end = std::min((*m)-1,j + kl); |
| int len = end - start + 1; |
| int offset = (ku) - j + start; |
| |
| if(OP(*trans)==NOTR) |
| make_vector(actual_y+start,len) += (alpha*actual_x[j]) * mat_coeffs.col(j).segment(offset,len); |
| else if(OP(*trans)==TR) |
| actual_y[j] += alpha * ( mat_coeffs.col(j).segment(offset,len).transpose() * make_vector(actual_x+start,len) ).value(); |
| else |
| actual_y[j] += alpha * ( mat_coeffs.col(j).segment(offset,len).adjoint() * make_vector(actual_x+start,len) ).value(); |
| } |
| |
| if(actual_x!=x) delete[] actual_x; |
| if(actual_y!=y) delete[] copy_back(actual_y,y,actual_m,*incy); |
| |
| return 0; |
| } |
| #endif |
| |
| /** DTBSV solves one of the systems of equations |
| * |
| * A*x = b, or A'*x = b, |
| * |
| * where b and x are n element vectors and A is an n by n unit, or |
| * non-unit, upper or lower triangular band matrix, with ( k + 1 ) |
| * diagonals. |
| * |
| * No test for singularity or near-singularity is included in this |
| * routine. Such tests must be performed before calling this routine. |
| */ |
| int EIGEN_BLAS_FUNC(tbsv)(char *uplo, char *op, char *diag, int *n, int *k, RealScalar *pa, int *lda, RealScalar *px, int *incx) |
| { |
| typedef void (*functype)(int, int, const Scalar *, int, Scalar *); |
| static const functype func[16] = { |
| // array index: NOTR | (UP << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|0, Scalar,false,Scalar,ColMajor>::run), |
| // array index: TR | (UP << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|0, Scalar,false,Scalar,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|0, Scalar,Conj, Scalar,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|0, Scalar,false,Scalar,ColMajor>::run), |
| // array index: TR | (LO << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|0, Scalar,false,Scalar,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (NUNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|0, Scalar,Conj, Scalar,RowMajor>::run), |
| 0, |
| // array index: NOTR | (UP << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|UnitDiag,Scalar,false,Scalar,ColMajor>::run), |
| // array index: TR | (UP << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|UnitDiag,Scalar,false,Scalar,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|UnitDiag,Scalar,Conj, Scalar,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Lower|UnitDiag,Scalar,false,Scalar,ColMajor>::run), |
| // array index: TR | (LO << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|UnitDiag,Scalar,false,Scalar,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (UNIT << 3) |
| (internal::band_solve_triangular_selector<int,Upper|UnitDiag,Scalar,Conj, Scalar,RowMajor>::run), |
| 0, |
| }; |
| |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| int coeff_rows = *k+1; |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*op)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*k<0) info = 5; |
| else if(*lda<coeff_rows) info = 7; |
| else if(*incx==0) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TBSV ",&info,6); |
| |
| if(*n==0 || (*k==0 && DIAG(*diag)==UNIT)) |
| return 0; |
| |
| int actual_n = *n; |
| |
| Scalar* actual_x = get_compact_vector(x,actual_n,*incx); |
| |
| int code = OP(*op) | (UPLO(*uplo) << 2) | (DIAG(*diag) << 3); |
| if(code>=16 || func[code]==0) |
| return 0; |
| |
| func[code](*n, *k, a, *lda, actual_x); |
| |
| if(actual_x!=x) delete[] copy_back(actual_x,x,actual_n,*incx); |
| |
| return 0; |
| } |
| |
| /** DTPMV performs one of the matrix-vector operations |
| * |
| * x := A*x, or x := A'*x, |
| * |
| * where x is an n element vector and A is an n by n unit, or non-unit, |
| * upper or lower triangular matrix, supplied in packed form. |
| */ |
| int EIGEN_BLAS_FUNC(tpmv)(char *uplo, char *opa, char *diag, int *n, RealScalar *pap, RealScalar *px, int *incx) |
| { |
| typedef void (*functype)(int, const Scalar*, const Scalar*, Scalar*, Scalar); |
| static const functype func[16] = { |
| // array index: NOTR | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|0, Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|0, Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|0, Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|0, Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|0, Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|0, Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Lower|UnitDiag,Scalar,false,Scalar,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,false,Scalar,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_matrix_vector_product<int,Upper|UnitDiag,Scalar,Conj, Scalar,false,RowMajor>::run), |
| 0 |
| }; |
| |
| Scalar* ap = reinterpret_cast<Scalar*>(pap); |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*opa)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*incx==0) info = 7; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TPMV ",&info,6); |
| |
| if(*n==0) |
| return 1; |
| |
| Scalar* actual_x = get_compact_vector(x,*n,*incx); |
| Matrix<Scalar,Dynamic,1> res(*n); |
| res.setZero(); |
| |
| int code = OP(*opa) | (UPLO(*uplo) << 2) | (DIAG(*diag) << 3); |
| if(code>=16 || func[code]==0) |
| return 0; |
| |
| func[code](*n, ap, actual_x, res.data(), Scalar(1)); |
| |
| copy_back(res.data(),x,*n,*incx); |
| if(actual_x!=x) delete[] actual_x; |
| |
| return 1; |
| } |
| |
| /** DTPSV solves one of the systems of equations |
| * |
| * A*x = b, or A'*x = b, |
| * |
| * where b and x are n element vectors and A is an n by n unit, or |
| * non-unit, upper or lower triangular matrix, supplied in packed form. |
| * |
| * No test for singularity or near-singularity is included in this |
| * routine. Such tests must be performed before calling this routine. |
| */ |
| int EIGEN_BLAS_FUNC(tpsv)(char *uplo, char *opa, char *diag, int *n, RealScalar *pap, RealScalar *px, int *incx) |
| { |
| typedef void (*functype)(int, const Scalar*, Scalar*); |
| static const functype func[16] = { |
| // array index: NOTR | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|0, false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (NUNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|0, Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,false,ColMajor>::run), |
| // array index: TR | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,false,RowMajor>::run), |
| // array index: ADJ | (UP << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,Conj, RowMajor>::run), |
| 0, |
| // array index: NOTR | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Lower|UnitDiag,false,ColMajor>::run), |
| // array index: TR | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,false,RowMajor>::run), |
| // array index: ADJ | (LO << 2) | (UNIT << 3) |
| (internal::packed_triangular_solve_vector<Scalar,Scalar,int,OnTheLeft, Upper|UnitDiag,Conj, RowMajor>::run), |
| 0 |
| }; |
| |
| Scalar* ap = reinterpret_cast<Scalar*>(pap); |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(OP(*opa)==INVALID) info = 2; |
| else if(DIAG(*diag)==INVALID) info = 3; |
| else if(*n<0) info = 4; |
| else if(*incx==0) info = 7; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"TPSV ",&info,6); |
| |
| Scalar* actual_x = get_compact_vector(x,*n,*incx); |
| |
| int code = OP(*opa) | (UPLO(*uplo) << 2) | (DIAG(*diag) << 3); |
| func[code](*n, ap, actual_x); |
| |
| if(actual_x!=x) delete[] copy_back(actual_x,x,*n,*incx); |
| |
| return 1; |
| } |