ext/nmatrix/math/rot.h
/////////////////////////////////////////////////////////////////////
// = NMatrix
//
// A linear algebra library for scientific computation in Ruby.
// NMatrix is part of SciRuby.
//
// NMatrix was originally inspired by and derived from NArray, by
// Masahiro Tanaka: http://narray.rubyforge.org
//
// == Copyright Information
//
// SciRuby is Copyright (c) 2010 - 2014, Ruby Science Foundation
// NMatrix is Copyright (c) 2012 - 2014, John Woods and the Ruby Science Foundation
//
// Please see LICENSE.txt for additional copyright notices.
//
// == Contributing
//
// By contributing source code to SciRuby, you agree to be bound by
// our Contributor Agreement:
//
// * https://github.com/SciRuby/sciruby/wiki/Contributor-Agreement
//
// == rot.h
//
// BLAS rot function in native C++.
//
/*
* Automatically Tuned Linear Algebra Software v3.8.4
* (C) Copyright 1999 R. Clint Whaley
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions, and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. The name of the ATLAS group or the names of its contributers may
* not be used to endorse or promote products derived from this
* software without specific written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ATLAS GROUP OR ITS CONTRIBUTORS
* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
*/
#ifndef ROT_H
# define ROT_H
namespace nm { namespace math {
// TODO: Test this to see if it works properly on complex. ATLAS has a separate algorithm for complex, which looks like
// TODO: it may actually be the same one.
//
// This function is called ATL_rot in ATLAS 3.8.4.
template <typename DType>
inline void rot_helper(const int N, DType* X, const int incX, DType* Y, const int incY, const DType c, const DType s) {
if (c != 1 || s != 0) {
if (incX == 1 && incY == 1) {
for (int i = 0; i != N; ++i) {
DType tmp = X[i] * c + Y[i] * s;
Y[i] = Y[i] * c - X[i] * s;
X[i] = tmp;
}
} else {
for (int i = N; i > 0; --i, Y += incY, X += incX) {
DType tmp = *X * c + *Y * s;
*Y = *Y * c - *X * s;
*X = tmp;
}
}
}
}
/* Applies a plane rotation. From ATLAS 3.8.4. */
template <typename DType, typename CSDType>
inline void rot(const int N, DType* X, const int incX, DType* Y, const int incY, const CSDType c, const CSDType s) {
int incx = incX, incy = incY;
DType *x = X, *y = Y;
if (N > 0) {
if (incX < 0) {
if (incY < 0) { incx = -incx; incy = -incy; }
else x += -incX * (N-1);
} else if (incY < 0) {
incy = -incy;
incx = -incx;
x += (N-1) * incX;
}
rot_helper<DType>(N, x, incx, y, incy, c, s);
}
}
template <typename DType, typename CSDType>
inline void cblas_rot(const int N, void* X, const int incX, void* Y, const int incY, const void* c, const void* s) {
rot<DType,CSDType>(N, reinterpret_cast<DType*>(X), incX, reinterpret_cast<DType*>(Y), incY,
*reinterpret_cast<const CSDType*>(c), *reinterpret_cast<const CSDType*>(s));
}
} } //nm::math
#endif // ROT_H