?? blas2.cpp
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//Copyright (c) 2004-2005, Baris Sumengen
//All rights reserved.
//
// CIMPL Matrix Performance Library
//
//Redistribution and use in source and binary
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//
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// This software can only be used
// for non-commercial purposes. This
// distribution is mainly intended for
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// list of conditions and the following
// disclaimer.
// * Redistributions of binary form must
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// list of conditions and the following
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// software.
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#include "./Blas.h"
#include "mkl.h"
namespace Blas
{
/// m*v for general matrix
Vector<float> Gemv(Matrix<float>& A, Vector<float>& x)
{
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
Vector<float> y(A.Rows(), 0);
cblas_sgemv(CblasColMajor, CblasNoTrans, A.Rows(), A.Columns(), 1, A.Data(), A.Rows(), x.Data(), 1, 1, y.Data(), 1);
return y;
}
Vector<double> Gemv(Matrix<double>& A, Vector<double>& x)
{
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
Vector<double> y(A.Rows(), 0);
cblas_dgemv(CblasColMajor, CblasNoTrans, A.Rows(), A.Columns(), 1, A.Data(), A.Rows(), x.Data(), 1, 1, y.Data(), 1);
return y;
}
Vector<ComplexFloat> Gemv(Matrix<ComplexFloat>& A, Vector<ComplexFloat>& x)
{
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
ComplexFloat temp(1,0);
Vector<ComplexFloat> y(A.Rows(), ComplexFloat(0,0));
cblas_cgemv(CblasColMajor, CblasNoTrans, A.Rows(), A.Columns(), &temp, A.Data(), A.Rows(), x.Data(), 1, &temp, y.Data(), 1);
return y;
}
Vector<ComplexDouble> Gemv(Matrix<ComplexDouble>& A, Vector<ComplexDouble>& x)
{
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
ComplexDouble temp(1,0);
Vector<ComplexDouble> y(A.Rows(), ComplexDouble(0,0));
cblas_zgemv(CblasColMajor, CblasNoTrans, A.Rows(), A.Columns(), &temp, A.Data(), A.Rows(), x.Data(), 1, &temp, y.Data(), 1);
return y;
}
/// Rank one update, general matrix
/// A += alpha*x*transp(y)
/// A += alpha*x*conjug_transp(y) if conjugate == true
void Ger(float alpha, Vector<float>& x, Vector<float>& y, Matrix<float>& A)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
cblas_sger(CblasColMajor, A.Rows(), A.Columns(), alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
void Ger(double alpha, Vector<double>& x, Vector<double>& y, Matrix<double>& A)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
cblas_dger(CblasColMajor, A.Rows(), A.Columns(), alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
void Ger(ComplexFloat alpha, Vector<ComplexFloat>& x, Vector<ComplexFloat>& y, Matrix<ComplexFloat>& A)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
cblas_cgeru(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
void Ger(ComplexDouble alpha, Vector<ComplexDouble>& x, Vector<ComplexDouble>& y, Matrix<ComplexDouble>& A)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
cblas_zgeru(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
void Ger(ComplexFloat alpha, Vector<ComplexFloat> x, Vector<ComplexFloat> y, Matrix<ComplexFloat>& A, bool conjugated)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
if(conjugated)
{
cblas_cgerc(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
else
{
cblas_cgeru(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
}
void Ger(ComplexDouble alpha, Vector<ComplexDouble>& x, Vector<ComplexDouble>& y, Matrix<ComplexDouble>& A, bool conjugated)
{
if(x.Length() != A.Rows() || y.Length() != A.Columns())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Some of the Vector lengths does not match matrix dimensions!");
}
if(conjugated)
{
cblas_zgerc(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
else
{
cblas_zgeru(CblasColMajor, A.Rows(), A.Columns(), &alpha, x.Data(), 1, y.Data(), 1, A.Data(), A.Rows());
}
}
/// Symv, Hemv: m*v for symmetric or hermitian matrix
Vector<float> Symv(Matrix<float>& A, Vector<float> x)
{
if(A.Columns() != A.Rows())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix is not square!");
}
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
Vector<float> y(A.Rows(), 0);
cblas_ssymv(CblasColMajor, CblasUpper, A.Rows(), 1, A.Data(), A.Rows(), x.Data(), 1, 1, y.Data(), 1);
return y;
}
Vector<double> Symv(Matrix<double>& A, Vector<double> x)
{
if(A.Columns() != A.Rows())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix is not square!");
}
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
Vector<double> y(A.Rows(), 0);
cblas_dsymv(CblasColMajor, CblasUpper, A.Rows(), 1, A.Data(), A.Rows(), x.Data(), 1, 1, y.Data(), 1);
return y;
}
Vector<ComplexFloat> Hemv(Matrix<ComplexFloat>& A, Vector<ComplexFloat>& x)
{
if(A.Columns() != A.Rows())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix is not square!");
}
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
ComplexFloat temp(1,0);
Vector<ComplexFloat> y(A.Rows(), ComplexFloat(0,0));
cblas_chemv(CblasColMajor, CblasUpper, A.Rows(), &temp, A.Data(), A.Rows(), x.Data(), 1, &temp, y.Data(), 1);
return y;
}
Vector<ComplexDouble> Hemv(Matrix<ComplexDouble>& A, Vector<ComplexDouble>& x)
{
if(A.Columns() != A.Rows())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix is not square!");
}
if(A.Columns() != x.Length())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix columns and Vector length are not the same!");
}
ComplexDouble temp(1,0);
Vector<ComplexDouble> y(A.Rows(), ComplexDouble(0,0));
cblas_zhemv(CblasColMajor, CblasUpper, A.Rows(), &temp, A.Data(), A.Rows(), x.Data(), 1, &temp, y.Data(), 1);
return y;
}
/// Rank-one update of a symmetric or hermitian matrix
/// A += alpha*x*transp(x)
/// A += alpha*x*conjug_transp(x)
void Syr(float alpha, Vector<float>& x, Matrix<float>& A)
{
if(A.Columns() != A.Rows())
{
cerr << "Line: " << __LINE__ << " File: " << __FILE__ << endl;
Utility::RunTimeError("Matrix is not square!");
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