/usr/include/viennacl/linalg/direct_solve.hpp is in libviennacl-dev 1.5.2-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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#define VIENNACL_LINALG_DIRECT_SOLVE_HPP_
/* =========================================================================
Copyright (c) 2010-2014, Institute for Microelectronics,
Institute for Analysis and Scientific Computing,
TU Wien.
Portions of this software are copyright by UChicago Argonne, LLC.
-----------------
ViennaCL - The Vienna Computing Library
-----------------
Project Head: Karl Rupp rupp@iue.tuwien.ac.at
(A list of authors and contributors can be found in the PDF manual)
License: MIT (X11), see file LICENSE in the base directory
============================================================================= */
/** @file viennacl/linalg/direct_solve.hpp
@brief Implementations of dense direct solvers are found here.
*/
#include "viennacl/forwards.h"
#include "viennacl/meta/enable_if.hpp"
#include "viennacl/vector.hpp"
#include "viennacl/matrix.hpp"
#include "viennacl/linalg/host_based/direct_solve.hpp"
#ifdef VIENNACL_WITH_OPENCL
#include "viennacl/linalg/opencl/direct_solve.hpp"
#endif
#ifdef VIENNACL_WITH_CUDA
#include "viennacl/linalg/cuda/direct_solve.hpp"
#endif
namespace viennacl
{
namespace linalg
{
//
// A \ B:
//
/** @brief Direct inplace solver for dense triangular systems. Matlab notation: A \ B
*
* @param A The system matrix
* @param B The matrix of row vectors, where the solution is directly written to
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
void inplace_solve(const matrix_base<NumericT, F1> & A, matrix_base<NumericT, F2> & B, SOLVERTAG)
{
assert( (viennacl::traits::size1(A) == viennacl::traits::size2(A)) && bool("Size check failed in inplace_solve(): size1(A) != size2(A)"));
assert( (viennacl::traits::size1(A) == viennacl::traits::size1(B)) && bool("Size check failed in inplace_solve(): size1(A) != size1(B)"));
switch (viennacl::traits::handle(A).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(A, B, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(A, B, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(A, B, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
/** @brief Direct inplace solver for dense triangular systems with transposed right hand side
*
* @param A The system matrix
* @param proxy_B The transposed matrix of row vectors, where the solution is directly written to
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
void inplace_solve(const matrix_base<NumericT, F1> & A,
matrix_expression< const matrix_base<NumericT, F2>, const matrix_base<NumericT, F2>, op_trans> proxy_B,
SOLVERTAG)
{
assert( (viennacl::traits::size1(A) == viennacl::traits::size2(A)) && bool("Size check failed in inplace_solve(): size1(A) != size2(A)"));
assert( (viennacl::traits::size1(A) == viennacl::traits::size1(proxy_B)) && bool("Size check failed in inplace_solve(): size1(A) != size1(B^T)"));
switch (viennacl::traits::handle(A).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(A, proxy_B, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(A, proxy_B, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(A, proxy_B, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
//upper triangular solver for transposed lower triangular matrices
/** @brief Direct inplace solver for dense triangular systems that stem from transposed triangular systems
*
* @param proxy_A The system matrix proxy
* @param B The matrix holding the load vectors, where the solution is directly written to
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
void inplace_solve(const matrix_expression< const matrix_base<NumericT, F1>, const matrix_base<NumericT, F1>, op_trans> & proxy_A,
matrix_base<NumericT, F2> & B,
SOLVERTAG)
{
assert( (viennacl::traits::size1(proxy_A) == viennacl::traits::size2(proxy_A)) && bool("Size check failed in inplace_solve(): size1(A) != size2(A)"));
assert( (viennacl::traits::size1(proxy_A) == viennacl::traits::size1(B)) && bool("Size check failed in inplace_solve(): size1(A^T) != size1(B)"));
switch (viennacl::traits::handle(proxy_A.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(proxy_A, B, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(proxy_A, B, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(proxy_A, B, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
/** @brief Direct inplace solver for dense transposed triangular systems with transposed right hand side. Matlab notation: A' \ B'
*
* @param proxy_A The system matrix proxy
* @param proxy_B The matrix holding the load vectors, where the solution is directly written to
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
void inplace_solve(const matrix_expression< const matrix_base<NumericT, F1>, const matrix_base<NumericT, F1>, op_trans> & proxy_A,
matrix_expression< const matrix_base<NumericT, F2>, const matrix_base<NumericT, F2>, op_trans> proxy_B,
SOLVERTAG)
{
assert( (viennacl::traits::size1(proxy_A) == viennacl::traits::size2(proxy_A)) && bool("Size check failed in inplace_solve(): size1(A) != size2(A)"));
assert( (viennacl::traits::size1(proxy_A) == viennacl::traits::size1(proxy_B)) && bool("Size check failed in inplace_solve(): size1(A^T) != size1(B^T)"));
switch (viennacl::traits::handle(proxy_A.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(proxy_A, proxy_B, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(proxy_A, proxy_B, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(proxy_A, proxy_B, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
//
// A \ b
//
template <typename NumericT, typename F, typename SOLVERTAG>
void inplace_solve(const matrix_base<NumericT, F> & mat,
vector_base<NumericT> & vec,
SOLVERTAG)
{
assert( (mat.size1() == vec.size()) && bool("Size check failed in inplace_solve(): size1(A) != size(b)"));
assert( (mat.size2() == vec.size()) && bool("Size check failed in inplace_solve(): size2(A) != size(b)"));
switch (viennacl::traits::handle(mat).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(mat, vec, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(mat, vec, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(mat, vec, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
/** @brief Direct inplace solver for dense upper triangular systems that stem from transposed lower triangular systems
*
* @param proxy The system matrix proxy
* @param vec The load vector, where the solution is directly written to
*/
template <typename NumericT, typename F, typename SOLVERTAG>
void inplace_solve(const matrix_expression< const matrix_base<NumericT, F>, const matrix_base<NumericT, F>, op_trans> & proxy,
vector_base<NumericT> & vec,
SOLVERTAG)
{
assert( (proxy.lhs().size1() == vec.size()) && bool("Size check failed in inplace_solve(): size1(A) != size(b)"));
assert( (proxy.lhs().size2() == vec.size()) && bool("Size check failed in inplace_solve(): size2(A) != size(b)"));
switch (viennacl::traits::handle(proxy.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(proxy, vec, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(proxy, vec, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(proxy, vec, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
/////////////////// general wrappers for non-inplace solution //////////////////////
/** @brief Convenience functions for C = solve(A, B, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve()
*
* @param A The system matrix
* @param B The matrix of load vectors
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
matrix<NumericT, F2> solve(const matrix_base<NumericT, F1> & A,
const matrix_base<NumericT, F2> & B,
SOLVERTAG tag)
{
// do an inplace solve on the result vector:
matrix<NumericT, F2> result(B);
inplace_solve(A, result, tag);
return result;
}
//////////
/** @brief Convenience functions for C = solve(A, B^T, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve()
*
* @param A The system matrix
* @param proxy The transposed load vector
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
matrix<NumericT, F2> solve(const matrix_base<NumericT, F1> & A,
const matrix_expression< const matrix_base<NumericT, F2>, const matrix_base<NumericT, F2>, op_trans> & proxy,
SOLVERTAG tag)
{
// do an inplace solve on the result vector:
matrix<NumericT, F2> result(proxy);
inplace_solve(A, result, tag);
return result;
}
/** @brief Convenience functions for result = solve(mat, vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve()
*
* @param mat The system matrix
* @param vec The load vector
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename SOLVERTAG>
vector<NumericT> solve(const matrix_base<NumericT, F1> & mat,
const vector_base<NumericT> & vec,
SOLVERTAG const & tag)
{
// do an inplace solve on the result vector:
vector<NumericT> result(vec);
inplace_solve(mat, result, tag);
return result;
}
///////////// transposed system matrix:
/** @brief Convenience functions for result = solve(trans(mat), B, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve()
*
* @param proxy The transposed system matrix proxy
* @param B The matrix of load vectors
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
matrix<NumericT, F2> solve(const matrix_expression< const matrix_base<NumericT, F1>, const matrix_base<NumericT, F1>, op_trans> & proxy,
const matrix_base<NumericT, F2> & B,
SOLVERTAG tag)
{
// do an inplace solve on the result vector:
matrix<NumericT, F2> result(B);
inplace_solve(proxy, result, tag);
return result;
}
/** @brief Convenience functions for result = solve(trans(mat), vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve()
*
* @param proxy_A The transposed system matrix proxy
* @param proxy_B The transposed matrix of load vectors, where the solution is directly written to
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename F2, typename SOLVERTAG>
matrix<NumericT, F2> solve(const matrix_expression< const matrix_base<NumericT, F1>, const matrix_base<NumericT, F1>, op_trans> & proxy_A,
const matrix_expression< const matrix_base<NumericT, F2>, const matrix_base<NumericT, F2>, op_trans> & proxy_B,
SOLVERTAG tag)
{
// do an inplace solve on the result vector:
matrix<NumericT, F2> result(proxy_B);
inplace_solve(proxy_A, result, tag);
return result;
}
/** @brief Convenience functions for result = solve(trans(mat), vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve()
*
* @param proxy The transposed system matrix proxy
* @param vec The load vector, where the solution is directly written to
* @param tag Dispatch tag
*/
template <typename NumericT, typename F1, typename SOLVERTAG>
vector<NumericT> solve(const matrix_expression< const matrix_base<NumericT, F1>, const matrix_base<NumericT, F1>, op_trans> & proxy,
const vector_base<NumericT> & vec,
SOLVERTAG const & tag)
{
// do an inplace solve on the result vector:
vector<NumericT> result(vec);
inplace_solve(proxy, result, tag);
return result;
}
}
}
#endif
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