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226 lines
8.1 KiB
C++
226 lines
8.1 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "common.h"
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// y = alpha*A*x + beta*y
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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)
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{
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Scalar* a = reinterpret_cast<Scalar*>(pa);
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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Scalar beta = *reinterpret_cast<Scalar*>(pbeta);
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// check arguments
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*lda<std::max(1,*n)) info = 5;
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else if(*incx==0) info = 7;
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else if(*incy==0) info = 10;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"SYMV ",&info,6);
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if(*n==0)
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return 0;
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Scalar* actual_x = get_compact_vector(x,*n,*incx);
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Scalar* actual_y = get_compact_vector(y,*n,*incy);
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if(beta!=Scalar(1))
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{
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if(beta==Scalar(0)) vector(actual_y, *n).setZero();
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else vector(actual_y, *n) *= beta;
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}
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// TODO performs a direct call to the underlying implementation function
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if(UPLO(*uplo)==UP) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Upper>() * (alpha * vector(actual_x,*n));
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else if(UPLO(*uplo)==LO) vector(actual_y,*n).noalias() += matrix(a,*n,*n,*lda).selfadjointView<Lower>() * (alpha * vector(actual_x,*n));
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if(actual_x!=x) delete[] actual_x;
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if(actual_y!=y) delete[] copy_back(actual_y,y,*n,*incy);
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return 1;
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}
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// C := alpha*x*x' + C
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int EIGEN_BLAS_FUNC(syr)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pc, int *ldc)
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{
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// typedef void (*functype)(int, const Scalar *, int, Scalar *, int, Scalar);
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// static functype func[2];
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// static bool init = false;
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// if(!init)
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// {
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// for(int k=0; k<2; ++k)
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// func[k] = 0;
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//
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// func[UP] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,UpperTriangular>::run);
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// func[LO] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,LowerTriangular>::run);
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// init = true;
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// }
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* c = reinterpret_cast<Scalar*>(pc);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*ldc<std::max(1,*n)) info = 7;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"SYR ",&info,6);
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if(*n==0 || alpha==Scalar(0)) return 1;
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// if the increment is not 1, let's copy it to a temporary vector to enable vectorization
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Scalar* x_cpy = get_compact_vector(x,*n,*incx);
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Matrix<Scalar,Dynamic,Dynamic> m2(matrix(c,*n,*n,*ldc));
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// TODO check why this is not accurate enough for lapack tests
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// if(UPLO(*uplo)==LO) matrix(c,*n,*n,*ldc).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), alpha);
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// else if(UPLO(*uplo)==UP) matrix(c,*n,*n,*ldc).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), alpha);
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if(UPLO(*uplo)==LO)
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for(int j=0;j<*n;++j)
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matrix(c,*n,*n,*ldc).col(j).tail(*n-j) += alpha * x_cpy[j] * vector(x_cpy+j,*n-j);
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else
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for(int j=0;j<*n;++j)
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matrix(c,*n,*n,*ldc).col(j).head(j+1) += alpha * x_cpy[j] * vector(x_cpy,j+1);
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if(x_cpy!=x) delete[] x_cpy;
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return 1;
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}
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// C := alpha*x*y' + alpha*y*x' + C
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int EIGEN_BLAS_FUNC(syr2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pc, int *ldc)
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{
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// typedef void (*functype)(int, const Scalar *, int, const Scalar *, int, Scalar *, int, Scalar);
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// static functype func[2];
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//
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// static bool init = false;
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// if(!init)
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// {
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// for(int k=0; k<2; ++k)
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// func[k] = 0;
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//
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// func[UP] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,UpperTriangular>::run);
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// func[LO] = (internal::selfadjoint_product<Scalar,ColMajor,ColMajor,false,LowerTriangular>::run);
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//
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// init = true;
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// }
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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Scalar* c = reinterpret_cast<Scalar*>(pc);
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Scalar alpha = *reinterpret_cast<Scalar*>(palpha);
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int info = 0;
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if(UPLO(*uplo)==INVALID) info = 1;
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else if(*n<0) info = 2;
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else if(*incx==0) info = 5;
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else if(*incy==0) info = 7;
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else if(*ldc<std::max(1,*n)) info = 9;
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if(info)
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return xerbla_(SCALAR_SUFFIX_UP"SYR2 ",&info,6);
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if(alpha==Scalar(0))
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return 1;
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Scalar* x_cpy = get_compact_vector(x,*n,*incx);
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Scalar* y_cpy = get_compact_vector(y,*n,*incy);
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// TODO perform direct calls to underlying implementation
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if(UPLO(*uplo)==LO) matrix(c,*n,*n,*ldc).selfadjointView<Lower>().rankUpdate(vector(x_cpy,*n), vector(y_cpy,*n), alpha);
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else if(UPLO(*uplo)==UP) matrix(c,*n,*n,*ldc).selfadjointView<Upper>().rankUpdate(vector(x_cpy,*n), vector(y_cpy,*n), alpha);
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if(x_cpy!=x) delete[] x_cpy;
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if(y_cpy!=y) delete[] y_cpy;
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// int code = UPLO(*uplo);
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// if(code>=2 || func[code]==0)
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// return 0;
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// func[code](*n, a, *inca, b, *incb, c, *ldc, alpha);
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return 1;
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}
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/** DSBMV performs the matrix-vector operation
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*
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* y := alpha*A*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are n element vectors and
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* A is an n by n symmetric band matrix, with k super-diagonals.
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*/
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// int EIGEN_BLAS_FUNC(sbmv)( char *uplo, int *n, int *k, RealScalar *alpha, RealScalar *a, int *lda,
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// RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy)
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// {
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// return 1;
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// }
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/** DSPMV performs the matrix-vector operation
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*
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* y := alpha*A*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are n element vectors and
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* A is an n by n symmetric matrix, supplied in packed form.
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*
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*/
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// int EIGEN_BLAS_FUNC(spmv)(char *uplo, int *n, RealScalar *alpha, RealScalar *ap, RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy)
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// {
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// return 1;
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// }
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/** DSPR performs the symmetric rank 1 operation
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*
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* A := alpha*x*x' + A,
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*
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* where alpha is a real scalar, x is an n element vector and A is an
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* n by n symmetric matrix, supplied in packed form.
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*/
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// int EIGEN_BLAS_FUNC(spr)(char *uplo, int *n, Scalar *alpha, Scalar *x, int *incx, Scalar *ap)
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// {
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// return 1;
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// }
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/** DSPR2 performs the symmetric rank 2 operation
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*
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* A := alpha*x*y' + alpha*y*x' + A,
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*
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* where alpha is a scalar, x and y are n element vectors and A is an
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* n by n symmetric matrix, supplied in packed form.
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*/
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// int EIGEN_BLAS_FUNC(spr2)(char *uplo, int *n, RealScalar *alpha, RealScalar *x, int *incx, RealScalar *y, int *incy, RealScalar *ap)
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// {
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// return 1;
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// }
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