133 lines
		
	
	
		
			4.3 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			133 lines
		
	
	
		
			4.3 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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| 
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| #include "common.h"
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| 
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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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|   //   std::cerr << "_asum " << *n << " " << *incx << "\n";
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| 
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|   Scalar *x = reinterpret_cast<Scalar *>(px);
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| 
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|   if (*n <= 0) return 0;
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| 
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|   if (*incx == 1)
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|     return make_vector(x, *n).cwiseAbs().sum();
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|   else
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|     return make_vector(x, *n, std::abs(*incx)).cwiseAbs().sum();
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| }
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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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|   if (*n <= 0) return 0;
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|   Scalar *x = reinterpret_cast<Scalar *>(px);
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| 
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|   DenseIndex ret;
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|   if (*incx == 1)
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|     make_vector(x, *n).cwiseAbs().maxCoeff(&ret);
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|   else
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|     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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| 
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| int EIGEN_CAT(i, EIGEN_BLAS_FUNC(amin))(int *n, RealScalar *px, int *incx) {
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|   if (*n <= 0) return 0;
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|   Scalar *x = reinterpret_cast<Scalar *>(px);
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| 
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|   DenseIndex ret;
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|   if (*incx == 1)
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|     make_vector(x, *n).cwiseAbs().minCoeff(&ret);
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|   else
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|     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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| 
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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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|   //   std::cerr << "_dot " << *n << " " << *incx << " " << *incy << "\n";
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| 
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|   if (*n <= 0) return 0;
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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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| 
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|   if (*incx == 1 && *incy == 1)
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|     return (make_vector(x, *n).cwiseProduct(make_vector(y, *n))).sum();
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|   else if (*incx > 0 && *incy > 0)
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|     return (make_vector(x, *n, *incx).cwiseProduct(make_vector(y, *n, *incy))).sum();
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|   else if (*incx < 0 && *incy > 0)
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|     return (make_vector(x, *n, -*incx).reverse().cwiseProduct(make_vector(y, *n, *incy))).sum();
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|   else if (*incx > 0 && *incy < 0)
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|     return (make_vector(x, *n, *incx).cwiseProduct(make_vector(y, *n, -*incy).reverse())).sum();
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|   else if (*incx < 0 && *incy < 0)
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|     return (make_vector(x, *n, -*incx).reverse().cwiseProduct(make_vector(y, *n, -*incy).reverse())).sum();
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|   else
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|     return 0;
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| }
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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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|   //   std::cerr << "_nrm2 " << *n << " " << *incx << "\n";
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|   if (*n <= 0) return 0;
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| 
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|   Scalar *x = reinterpret_cast<Scalar *>(px);
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| 
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|   if (*incx == 1)
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|     return make_vector(x, *n).stableNorm();
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|   else
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|     return make_vector(x, *n, std::abs(*incx)).stableNorm();
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| }
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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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|   //   std::cerr << "_rot " << *n << " " << *incx << " " << *incy << "\n";
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|   if (*n <= 0) return 0;
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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 s = *reinterpret_cast<Scalar *>(ps);
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| 
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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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| 
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|   Reverse<StridedVectorType> rvx(vx);
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|   Reverse<StridedVectorType> rvy(vy);
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| 
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|   if (*incx < 0 && *incy > 0)
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|     internal::apply_rotation_in_the_plane(rvx, vy, JacobiRotation<Scalar>(c, s));
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|   else if (*incx > 0 && *incy < 0)
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|     internal::apply_rotation_in_the_plane(vx, rvy, JacobiRotation<Scalar>(c, s));
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|   else
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|     internal::apply_rotation_in_the_plane(vx, vy, JacobiRotation<Scalar>(c, s));
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| 
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|   return 0;
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| }
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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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| 
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|   // TODO
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| 
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|   return 0;
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| }
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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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| 
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|   return 0;
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| }
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| */
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