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level1_cplx_impl.h
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Tue, Feb 11, 12:11

level1_cplx_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"
struct scalar_norm1_op {
typedef RealScalar result_type;
EIGEN_EMPTY_STRUCT_CTOR(scalar_norm1_op)
inline RealScalar operator() (const Scalar& a) const { return numext::norm1(a); }
};
namespace Eigen {
namespace internal {
template<> struct functor_traits<scalar_norm1_op >
{
enum { Cost = 3 * NumTraits<Scalar>::AddCost, PacketAccess = 0 };
};
}
}
// computes the sum of magnitudes of all vector elements or, for a complex vector x, the sum
// res = |Rex1| + |Imx1| + |Rex2| + |Imx2| + ... + |Rexn| + |Imxn|, where x is a vector of order n
RealScalar EIGEN_CAT(REAL_SCALAR_SUFFIX, EIGEN_BLAS_FUNC(asum))(int *n, RealScalar *px, int *incx)
{
// std::cerr << "__asum " << *n << " " << *incx << "\n";
Complex* x = reinterpret_cast<Complex*>(px);
if(*n<=0) return 0;
if(*incx==1) return make_vector(x,*n).unaryExpr<scalar_norm1_op>().sum();
else return make_vector(x,*n,std::abs(*incx)).unaryExpr<scalar_norm1_op>().sum();
}
int EIGEN_CAT(i, EIGEN_BLAS_FUNC(amax))(int *n, RealScalar *px, int *incx)
{
if(*n<=0) return 0;
Scalar* x = reinterpret_cast<Scalar*>(px);
DenseIndex ret;
if(*incx==1) make_vector(x,*n).unaryExpr<scalar_norm1_op>().maxCoeff(&ret);
else make_vector(x,*n,std::abs(*incx)).unaryExpr<scalar_norm1_op>().maxCoeff(&ret);
return int(ret)+1;
}
int EIGEN_CAT(i, EIGEN_BLAS_FUNC(amin))(int *n, RealScalar *px, int *incx)
{
if(*n<=0) return 0;
Scalar* x = reinterpret_cast<Scalar*>(px);
DenseIndex ret;
if(*incx==1) make_vector(x,*n).unaryExpr<scalar_norm1_op>().minCoeff(&ret);
else make_vector(x,*n,std::abs(*incx)).unaryExpr<scalar_norm1_op>().minCoeff(&ret);
return int(ret)+1;
}
// computes a dot product of a conjugated vector with another vector.
int EIGEN_BLAS_FUNC(dotcw)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar* pres)
{
// std::cerr << "_dotc " << *n << " " << *incx << " " << *incy << "\n";
Scalar* res = reinterpret_cast<Scalar*>(pres);
if(*n<=0)
{
*res = Scalar(0);
return 0;
}
Scalar* x = reinterpret_cast<Scalar*>(px);
Scalar* y = reinterpret_cast<Scalar*>(py);
if(*incx==1 && *incy==1) *res = (make_vector(x,*n).dot(make_vector(y,*n)));
else if(*incx>0 && *incy>0) *res = (make_vector(x,*n,*incx).dot(make_vector(y,*n,*incy)));
else if(*incx<0 && *incy>0) *res = (make_vector(x,*n,-*incx).reverse().dot(make_vector(y,*n,*incy)));
else if(*incx>0 && *incy<0) *res = (make_vector(x,*n,*incx).dot(make_vector(y,*n,-*incy).reverse()));
else if(*incx<0 && *incy<0) *res = (make_vector(x,*n,-*incx).reverse().dot(make_vector(y,*n,-*incy).reverse()));
return 0;
}
// computes a vector-vector dot product without complex conjugation.
int EIGEN_BLAS_FUNC(dotuw)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar* pres)
{
Scalar* res = reinterpret_cast<Scalar*>(pres);
if(*n<=0)
{
*res = Scalar(0);
return 0;
}
Scalar* x = reinterpret_cast<Scalar*>(px);
Scalar* y = reinterpret_cast<Scalar*>(py);
if(*incx==1 && *incy==1) *res = (make_vector(x,*n).cwiseProduct(make_vector(y,*n))).sum();
else if(*incx>0 && *incy>0) *res = (make_vector(x,*n,*incx).cwiseProduct(make_vector(y,*n,*incy))).sum();
else if(*incx<0 && *incy>0) *res = (make_vector(x,*n,-*incx).reverse().cwiseProduct(make_vector(y,*n,*incy))).sum();
else if(*incx>0 && *incy<0) *res = (make_vector(x,*n,*incx).cwiseProduct(make_vector(y,*n,-*incy).reverse())).sum();
else if(*incx<0 && *incy<0) *res = (make_vector(x,*n,-*incx).reverse().cwiseProduct(make_vector(y,*n,-*incy).reverse())).sum();
return 0;
}
RealScalar EIGEN_CAT(REAL_SCALAR_SUFFIX, EIGEN_BLAS_FUNC(nrm2))(int *n, RealScalar *px, int *incx)
{
// std::cerr << "__nrm2 " << *n << " " << *incx << "\n";
if(*n<=0) return 0;
Scalar* x = reinterpret_cast<Scalar*>(px);
if(*incx==1)
return make_vector(x,*n).stableNorm();
return make_vector(x,*n,*incx).stableNorm();
}
int EIGEN_BLAS_FUNC(EIGEN_CAT(REAL_SCALAR_SUFFIX, rot))(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pc, RealScalar *ps)
{
if(*n<=0) return 0;
Scalar* x = reinterpret_cast<Scalar*>(px);
Scalar* y = reinterpret_cast<Scalar*>(py);
RealScalar c = *pc;
RealScalar s = *ps;
StridedVectorType vx(make_vector(x,*n,std::abs(*incx)));
StridedVectorType vy(make_vector(y,*n,std::abs(*incy)));
Reverse<StridedVectorType> rvx(vx);
Reverse<StridedVectorType> rvy(vy);
// TODO implement mixed real-scalar rotations
if(*incx<0 && *incy>0) internal::apply_rotation_in_the_plane(rvx, vy, JacobiRotation<Scalar>(c,s));
else if(*incx>0 && *incy<0) internal::apply_rotation_in_the_plane(vx, rvy, JacobiRotation<Scalar>(c,s));
else internal::apply_rotation_in_the_plane(vx, vy, JacobiRotation<Scalar>(c,s));
return 0;
}
int EIGEN_BLAS_FUNC(EIGEN_CAT(REAL_SCALAR_SUFFIX, scal))(int *n, RealScalar *palpha, RealScalar *px, int *incx)
{
if(*n<=0) return 0;
Scalar* x = reinterpret_cast<Scalar*>(px);
RealScalar alpha = *palpha;
// std::cerr << "__scal " << *n << " " << alpha << " " << *incx << "\n";
if(*incx==1) make_vector(x,*n) *= alpha;
else make_vector(x,*n,std::abs(*incx)) *= alpha;
return 0;
}

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