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/*
* Copyright 2008-2009 NVIDIA Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*! \file poisson.h
* \brief Poisson matrix generators
*/
#pragma once
#include <cusp/detail/config.h>
#include <cusp/gallery/stencil.h>
namespace cusp
{
namespace gallery
{
/*! \addtogroup gallery Matrix Gallery
* \addtogroup poisson Poisson
* \ingroup gallery
* \{
*/
/*! \p poisson5pt: Create a matrix representing a Poisson problem
* discretized on an \p m by \p n grid with the standard 5-point
* finite-difference stencil.
*
* \param matrix output
* \param m number of grid rows
* \param n number of grid columns
* \tparam MatrixType matrix container
*
* \code
* #include <cusp/gallery/poisson.h>
* #include <cusp/coo_matrix.h>
* #include <cusp/print.h>
*
* int main(void)
* {
* cusp::coo_matrix<int, float, cusp::device_memory> A;
*
* // create a matrix for a Poisson problem on a 4x4 grid
* cusp::gallery::poisson5pt(A, 4, 4);
*
* // print matrix
* cusp::print(A);
*
* return 0;
* }
* \endcode
*
*/
template <typename MatrixType>
void poisson5pt( MatrixType& matrix, size_t m, size_t n)
{
CUSP_PROFILE_SCOPED();
typedef typename MatrixType::index_type IndexType;
typedef typename MatrixType::value_type ValueType;
typedef thrust::tuple<IndexType,IndexType> StencilIndex;
typedef thrust::tuple<StencilIndex,ValueType> StencilPoint;
cusp::array1d<StencilPoint, cusp::host_memory> stencil;
stencil.push_back(StencilPoint(StencilIndex( 0, -1), -1));
stencil.push_back(StencilPoint(StencilIndex( -1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 0), 4));
stencil.push_back(StencilPoint(StencilIndex( 1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 1), -1));
cusp::gallery::generate_matrix_from_stencil(matrix, stencil, StencilIndex(m,n));
}
template <typename MatrixType>
void poisson9pt( MatrixType& matrix, size_t m, size_t n)
{
CUSP_PROFILE_SCOPED();
typedef typename MatrixType::index_type IndexType;
typedef typename MatrixType::value_type ValueType;
typedef thrust::tuple<IndexType,IndexType> StencilIndex;
typedef thrust::tuple<StencilIndex,ValueType> StencilPoint;
cusp::array1d<StencilPoint, cusp::host_memory> stencil;
stencil.push_back(StencilPoint(StencilIndex( -1, -1), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, -1), -1));
stencil.push_back(StencilPoint(StencilIndex( 1, -1), -1));
stencil.push_back(StencilPoint(StencilIndex( -1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 0), 8));
stencil.push_back(StencilPoint(StencilIndex( 1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( -1, 1), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 1), -1));
stencil.push_back(StencilPoint(StencilIndex( 1, 1), -1));
cusp::gallery::generate_matrix_from_stencil(matrix, stencil, StencilIndex(m,n));
}
template <typename MatrixType>
void poisson7pt( MatrixType& matrix, size_t m, size_t n, size_t k)
{
CUSP_PROFILE_SCOPED();
typedef typename MatrixType::index_type IndexType;
typedef typename MatrixType::value_type ValueType;
typedef thrust::tuple<IndexType,IndexType,IndexType> StencilIndex;
typedef thrust::tuple<StencilIndex,ValueType> StencilPoint;
cusp::array1d<StencilPoint, cusp::host_memory> stencil;
stencil.push_back(StencilPoint(StencilIndex( 0, 0, -1), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, -1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex(-1, 0, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 0, 0), 6));
stencil.push_back(StencilPoint(StencilIndex( 1, 0, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 1, 0), -1));
stencil.push_back(StencilPoint(StencilIndex( 0, 0, 1), -1));
cusp::gallery::generate_matrix_from_stencil(matrix, stencil, StencilIndex(m,n,k));
}
template <typename MatrixType>
void poisson27pt( MatrixType& matrix, size_t m, size_t n, size_t l)
{
CUSP_PROFILE_SCOPED();
typedef typename MatrixType::index_type IndexType;
typedef typename MatrixType::value_type ValueType;
typedef thrust::tuple<IndexType,IndexType,IndexType> StencilIndex;
typedef thrust::tuple<StencilIndex,ValueType> StencilPoint;
cusp::array1d<StencilPoint, cusp::host_memory> stencil;
for( IndexType k = -1; k <= 1; k++ )
for( IndexType j = -1; j <= 1; j++ )
for( IndexType i = -1; i <= 1; i++ )
stencil.push_back(StencilPoint(StencilIndex( i, j, k), (i==0 && j==0 && k==0) ? 26 : -1));
cusp::gallery::generate_matrix_from_stencil(matrix, stencil, StencilIndex(m,n,l));
}
/*! \}
*/
} // end namespace gallery
} // end namespace cusp
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