Add GMRES example
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examples/gmres/matrix.ispc
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122
examples/gmres/matrix.ispc
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/*
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Copyright (c) 2012, Intel Corporation
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are
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met:
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* Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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* Neither the name of Intel Corporation nor the names of its
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contributors may be used to endorse or promote products derived from
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this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
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IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
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PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
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OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/**************************************************************\
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| General
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\**************************************************************/
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export void zero (uniform double data[],
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uniform int size)
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{
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foreach (i = 0 ... size)
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data[i] = 0.0;
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}
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/**************************************************************\
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| Vector helpers
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\**************************************************************/
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export void vector_add (uniform double a[],
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const uniform double b[],
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const uniform int size)
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{
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foreach (i = 0 ... size)
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a[i] += b[i];
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}
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export void vector_sub (uniform double a[],
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const uniform double b[],
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const uniform int size)
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{
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foreach (i = 0 ... size)
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a[i] -= b[i];
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}
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export void vector_mult (uniform double a[],
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const uniform double b,
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const uniform int size)
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{
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foreach (i = 0 ... size)
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a[i] *= b;
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}
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export void vector_div (uniform double a[],
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const uniform double b,
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const uniform int size)
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{
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foreach (i = 0 ... size)
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a[i] /= b;
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}
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export void vector_add_ax (uniform double r[],
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const uniform double a,
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const uniform double x[],
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const uniform int size)
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{
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foreach (i = 0 ... size)
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r[i] += a * x[i];
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}
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export uniform double vector_dot (const uniform double a[],
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const uniform double b[],
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const uniform int size)
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{
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varying double sum = 0.0;
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foreach (i = 0 ... size)
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sum += a[i] * b[i];
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return reduce_add(sum);
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}
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/**************************************************************\
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| Matrix helpers
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\**************************************************************/
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export void sparse_multiply (const uniform double entries[],
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const uniform double columns[],
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const uniform double row_offsets[],
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const uniform int rows,
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const uniform int cols,
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const uniform int nonzeroes,
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const uniform double v[],
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uniform double r[])
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{
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foreach (row = 0 ... rows) {
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int row_offset = row_offsets[row];
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int next_offset = ((row + 1 == rows) ? nonzeroes : row_offsets[row+1]);
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double sum = 0;
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for (int j = row_offset; j < next_offset; j++)
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sum += v[columns[j]] * entries[j];
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r[row] = sum;
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}
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}
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