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4270c62812
Like the Netlib reference implementation, I*AMAX now uses the L1-norm instead of the L2-norm for each element. Changed I*MIN accordingly.
123 lines
4.2 KiB
C++
123 lines
4.2 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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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include "common.h"
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// computes the sum of magnitudes of all vector elements or, for a complex vector x, the sum
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// res = |Rex1| + |Imx1| + |Rex2| + |Imx2| + ... + |Rexn| + |Imxn|, where x is a vector of order n
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RealScalar EIGEN_BLAS_FUNC(asum)(int *n, RealScalar *px, int *incx)
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{
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// std::cerr << "_asum " << *n << " " << *incx << "\n";
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Scalar* x = reinterpret_cast<Scalar*>(px);
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if(*n<=0) return 0;
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if(*incx==1) return make_vector(x,*n).cwiseAbs().sum();
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else return make_vector(x,*n,std::abs(*incx)).cwiseAbs().sum();
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}
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int EIGEN_CAT(i, EIGEN_BLAS_FUNC(amax))(int *n, RealScalar *px, int *incx)
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{
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if(*n<=0) return 0;
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Scalar* x = reinterpret_cast<Scalar*>(px);
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DenseIndex ret;
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if(*incx==1) make_vector(x,*n).cwiseAbs().maxCoeff(&ret);
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else make_vector(x,*n,std::abs(*incx)).cwiseAbs().maxCoeff(&ret);
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return int(ret)+1;
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}
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int EIGEN_CAT(i, EIGEN_BLAS_FUNC(amin))(int *n, RealScalar *px, int *incx)
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{
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if(*n<=0) return 0;
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Scalar* x = reinterpret_cast<Scalar*>(px);
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DenseIndex ret;
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if(*incx==1) make_vector(x,*n).cwiseAbs().minCoeff(&ret);
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else make_vector(x,*n,std::abs(*incx)).cwiseAbs().minCoeff(&ret);
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return int(ret)+1;
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}
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// computes a vector-vector dot product.
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Scalar EIGEN_BLAS_FUNC(dot)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy)
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{
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// std::cerr << "_dot " << *n << " " << *incx << " " << *incy << "\n";
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if(*n<=0) return 0;
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Scalar* x = reinterpret_cast<Scalar*>(px);
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Scalar* y = reinterpret_cast<Scalar*>(py);
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if(*incx==1 && *incy==1) return (make_vector(x,*n).cwiseProduct(make_vector(y,*n))).sum();
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else if(*incx>0 && *incy>0) return (make_vector(x,*n,*incx).cwiseProduct(make_vector(y,*n,*incy))).sum();
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else if(*incx<0 && *incy>0) return (make_vector(x,*n,-*incx).reverse().cwiseProduct(make_vector(y,*n,*incy))).sum();
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else if(*incx>0 && *incy<0) return (make_vector(x,*n,*incx).cwiseProduct(make_vector(y,*n,-*incy).reverse())).sum();
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else if(*incx<0 && *incy<0) return (make_vector(x,*n,-*incx).reverse().cwiseProduct(make_vector(y,*n,-*incy).reverse())).sum();
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else return 0;
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}
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// computes the Euclidean norm of a vector.
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// FIXME
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Scalar EIGEN_BLAS_FUNC(nrm2)(int *n, RealScalar *px, int *incx)
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{
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// std::cerr << "_nrm2 " << *n << " " << *incx << "\n";
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if(*n<=0) return 0;
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Scalar* x = reinterpret_cast<Scalar*>(px);
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if(*incx==1) return make_vector(x,*n).stableNorm();
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else return make_vector(x,*n,std::abs(*incx)).stableNorm();
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}
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int EIGEN_BLAS_FUNC(rot)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pc, RealScalar *ps)
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{
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// std::cerr << "_rot " << *n << " " << *incx << " " << *incy << "\n";
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if(*n<=0) return 0;
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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 s = *reinterpret_cast<Scalar*>(ps);
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StridedVectorType vx(make_vector(x,*n,std::abs(*incx)));
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StridedVectorType vy(make_vector(y,*n,std::abs(*incy)));
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Reverse<StridedVectorType> rvx(vx);
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Reverse<StridedVectorType> rvy(vy);
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if(*incx<0 && *incy>0) internal::apply_rotation_in_the_plane(rvx, vy, JacobiRotation<Scalar>(c,s));
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else if(*incx>0 && *incy<0) internal::apply_rotation_in_the_plane(vx, rvy, JacobiRotation<Scalar>(c,s));
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else internal::apply_rotation_in_the_plane(vx, vy, JacobiRotation<Scalar>(c,s));
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return 0;
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}
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/*
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// performs rotation of points in the modified plane.
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int EIGEN_BLAS_FUNC(rotm)(int *n, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *param)
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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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// TODO
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return 0;
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}
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// computes the modified parameters for a Givens rotation.
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int EIGEN_BLAS_FUNC(rotmg)(RealScalar *d1, RealScalar *d2, RealScalar *x1, RealScalar *x2, RealScalar *param)
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{
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// TODO
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return 0;
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}
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*/
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