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level2_impl.h
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// 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;
}

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