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#include <unittest/unittest.h>
#ifndef _MSC_VER
#define CUSP_USE_TEXTURE_MEMORY
#endif
#include <cusp/multiply.h>
#include <cusp/linear_operator.h>
#include <cusp/print.h>
#include <cusp/gallery/poisson.h>
#include <cusp/gallery/random.h>
#include <cusp/array2d.h>
#include <cusp/coo_matrix.h>
#include <cusp/csr_matrix.h>
#include <cusp/dia_matrix.h>
#include <cusp/ell_matrix.h>
#include <cusp/hyb_matrix.h>
/////////////////////////////////////////
// Sparse Matrix-Matrix Multiplication //
/////////////////////////////////////////
template <typename SparseMatrixType, typename DenseMatrixType>
void CompareSparseMatrixMatrixMultiply(DenseMatrixType A, DenseMatrixType B)
{
DenseMatrixType C;
cusp::multiply(A, B, C);
SparseMatrixType _A(A), _B(B), _C;
cusp::multiply(_A, _B, _C);
ASSERT_EQUAL(C == DenseMatrixType(_C), true);
typename SparseMatrixType::view _Aview(_A), _Bview(_B), _Cview(_C);
cusp::multiply(_Aview, _Bview, _Cview);
ASSERT_EQUAL(C == DenseMatrixType(_Cview), true);
}
template <typename TestMatrix>
void TestSparseMatrixMatrixMultiply(void)
{
cusp::array2d<float,cusp::host_memory> A(3,2);
A(0,0) = 1.0;
A(0,1) = 2.0;
A(1,0) = 3.0;
A(1,1) = 0.0;
A(2,0) = 5.0;
A(2,1) = 6.0;
cusp::array2d<float,cusp::host_memory> B(2,4);
B(0,0) = 0.0;
B(0,1) = 2.0;
B(0,2) = 3.0;
B(0,3) = 4.0;
B(1,0) = 5.0;
B(1,1) = 0.0;
B(1,2) = 0.0;
B(1,3) = 8.0;
cusp::array2d<float,cusp::host_memory> C(2,2);
C(0,0) = 0.0;
C(0,1) = 0.0;
C(1,0) = 3.0;
C(1,1) = 5.0;
cusp::array2d<float,cusp::host_memory> D(2,1);
D(0,0) = 2.0;
D(1,0) = 3.0;
cusp::array2d<float,cusp::host_memory> E(2,2);
E(0,0) = 0.0;
E(0,1) = 0.0;
E(1,0) = 0.0;
E(1,1) = 0.0;
cusp::array2d<float,cusp::host_memory> F(2,3);
F(0,0) = 0.0;
F(0,1) = 1.5;
F(0,2) = 3.0;
F(1,0) = 0.5;
F(1,1) = 0.0;
F(1,2) = 0.0;
cusp::array2d<float,cusp::host_memory> G;
cusp::gallery::poisson5pt(G, 4, 6);
cusp::array2d<float,cusp::host_memory> H;
cusp::gallery::poisson5pt(H, 8, 3);
cusp::array2d<float,cusp::host_memory> I;
cusp::gallery::random(24, 24, 150, I);
cusp::array2d<float,cusp::host_memory> J;
cusp::gallery::random(24, 24, 50, J);
cusp::array2d<float,cusp::host_memory> K;
cusp::gallery::random(24, 12, 20, K);
//thrust::host_vector< cusp::array2d<float,cusp::host_memory> > matrices;
std::vector< cusp::array2d<float,cusp::host_memory> > matrices;
matrices.push_back(A);
matrices.push_back(B);
matrices.push_back(C);
matrices.push_back(D);
matrices.push_back(E);
matrices.push_back(F);
matrices.push_back(G);
matrices.push_back(H);
matrices.push_back(I);
matrices.push_back(J);
matrices.push_back(K);
// test matrix multiply for every pair of compatible matrices
for(size_t i = 0; i < matrices.size(); i++)
{
const cusp::array2d<float,cusp::host_memory>& left = matrices[i];
for(size_t j = 0; j < matrices.size(); j++)
{
const cusp::array2d<float,cusp::host_memory>& right = matrices[j];
if (left.num_cols == right.num_rows)
CompareSparseMatrixMatrixMultiply<TestMatrix>(left, right);
}
}
}
DECLARE_SPARSE_MATRIX_UNITTEST(TestSparseMatrixMatrixMultiply);
///////////////////////////////////////////////
// Sparse Matrix-Dense Matrix Multiplication //
///////////////////////////////////////////////
template <typename SparseMatrixType, typename DenseMatrixType>
void CompareSparseMatrixDenseMatrixMultiply(DenseMatrixType A, DenseMatrixType B)
{
typedef typename SparseMatrixType::value_type ValueType;
typedef typename SparseMatrixType::memory_space MemorySpace;
typedef cusp::array2d<ValueType,MemorySpace,cusp::column_major> DenseSpaceMatrixType;
DenseMatrixType C(A.num_rows, B.num_cols);
cusp::multiply(A, B, C);
SparseMatrixType _A(A);
// Copy B into the memory space
DenseSpaceMatrixType B_space(B);
// Allocate _B and ensure each column is properly aligned
DenseSpaceMatrixType _B(B.num_rows, B.num_cols, ValueType(0), cusp::detail::round_up(B.num_rows, size_t(128)));
// Copy columns of B into _B
for(size_t i = 0; i < B.num_cols; i++ )
cusp::blas::copy(B_space.column(i), _B.column(i));
// test container
{
DenseSpaceMatrixType _C(C.num_rows, C.num_cols);
cusp::multiply(_A, _B, _C);
ASSERT_EQUAL(C == DenseMatrixType(_C), true);
}
{
// test view
DenseSpaceMatrixType _C(C.num_rows, C.num_cols);
typename SparseMatrixType::view _Aview(_A);
typename DenseSpaceMatrixType::view _Bview(_B), _Cview(_C);
cusp::multiply(_Aview, _Bview, _Cview);
ASSERT_EQUAL(C == DenseMatrixType(_C), true);
}
}
template <typename TestMatrix>
void TestSparseMatrixDenseMatrixMultiply(void)
{
cusp::array2d<float,cusp::host_memory> A(3,2);
A(0,0) = 1.0;
A(0,1) = 2.0;
A(1,0) = 3.0;
A(1,1) = 0.0;
A(2,0) = 5.0;
A(2,1) = 6.0;
cusp::array2d<float,cusp::host_memory> B(2,4);
B(0,0) = 0.0;
B(0,1) = 2.0;
B(0,2) = 3.0;
B(0,3) = 4.0;
B(1,0) = 5.0;
B(1,1) = 0.0;
B(1,2) = 0.0;
B(1,3) = 8.0;
cusp::array2d<float,cusp::host_memory> C(2,2);
C(0,0) = 0.0;
C(0,1) = 0.0;
C(1,0) = 3.0;
C(1,1) = 5.0;
cusp::array2d<float,cusp::host_memory> D(2,1);
D(0,0) = 2.0;
D(1,0) = 3.0;
cusp::array2d<float,cusp::host_memory> E(2,2);
E(0,0) = 0.0;
E(0,1) = 0.0;
E(1,0) = 0.0;
E(1,1) = 0.0;
cusp::array2d<float,cusp::host_memory> F(2,3);
F(0,0) = 0.0;
F(0,1) = 1.5;
F(0,2) = 3.0;
F(1,0) = 0.5;
F(1,1) = 0.0;
F(1,2) = 0.0;
cusp::array2d<float,cusp::host_memory> G;
cusp::gallery::poisson5pt(G, 4, 6);
cusp::array2d<float,cusp::host_memory> H;
cusp::gallery::poisson5pt(H, 8, 3);
cusp::array2d<float,cusp::host_memory> I;
cusp::gallery::random(24, 24, 150, I);
cusp::array2d<float,cusp::host_memory> J;
cusp::gallery::random(24, 24, 50, J);
cusp::array2d<float,cusp::host_memory> K;
cusp::gallery::random(24, 12, 20, K);
//thrust::host_vector< cusp::array2d<float,cusp::host_memory,cusp::column_major> > matrices;
std::vector< cusp::array2d<float,cusp::host_memory,cusp::column_major> > matrices;
matrices.push_back(A);
matrices.push_back(B);
matrices.push_back(C);
matrices.push_back(D);
matrices.push_back(E);
matrices.push_back(F);
matrices.push_back(G);
matrices.push_back(H);
matrices.push_back(I);
matrices.push_back(J);
matrices.push_back(K);
// test matrix multiply for every pair of compatible matrices
for(size_t i = 0; i < matrices.size(); i++)
{
const cusp::array2d<float,cusp::host_memory,cusp::column_major>& left = matrices[i];
for(size_t j = 0; j < matrices.size(); j++)
{
const cusp::array2d<float,cusp::host_memory,cusp::column_major>& right = matrices[j];
if (left.num_cols == right.num_rows)
CompareSparseMatrixDenseMatrixMultiply<TestMatrix>(left, right);
}
}
}
DECLARE_SPARSE_MATRIX_UNITTEST(TestSparseMatrixDenseMatrixMultiply);
/////////////////////////////////////////
// Sparse Matrix-Vector Multiplication //
/////////////////////////////////////////
template <typename SparseMatrixType, typename DenseMatrixType>
void CompareSparseMatrixVectorMultiply(DenseMatrixType A)
{
typedef typename SparseMatrixType::memory_space MemorySpace;
// setup reference input
cusp::array1d<float, cusp::host_memory> x(A.num_cols);
cusp::array1d<float, cusp::host_memory> y(A.num_rows, 10);
for(size_t i = 0; i < x.size(); i++)
x[i] = i % 10;
// compute reference output
cusp::multiply(A, x, y);
// test container
{
SparseMatrixType _A(A);
cusp::array1d<float, MemorySpace> _x(x);
cusp::array1d<float, MemorySpace> _y(A.num_rows, 10);
cusp::multiply(_A, _x, _y);
ASSERT_EQUAL(_y, y);
}
// test matrix view
{
SparseMatrixType _A(A);
cusp::array1d<float, MemorySpace> _x(x);
cusp::array1d<float, MemorySpace> _y(A.num_rows, 10);
typename SparseMatrixType::view _V(_A);
cusp::multiply(_V, _x, _y);
ASSERT_EQUAL(_y, y);
}
// test array view
{
SparseMatrixType _A(A);
cusp::array1d<float, MemorySpace> _x(x);
cusp::array1d<float, MemorySpace> _y(A.num_rows, 10);
typename cusp::array1d<float, MemorySpace> _Vx(_x), _Vy(_y);
cusp::multiply(_A, _Vx, _Vy);
ASSERT_EQUAL(_Vy, y);
}
}
// TODO use COO reference format and test larger problem sizes
template <class TestMatrix>
void TestSparseMatrixVectorMultiply()
{
typedef typename TestMatrix::memory_space MemorySpace;
cusp::array2d<float, cusp::host_memory> A(5,4);
A(0,0) = 13;
A(0,1) = 80;
A(0,2) = 0;
A(0,3) = 0;
A(1,0) = 0;
A(1,1) = 27;
A(1,2) = 0;
A(1,3) = 0;
A(2,0) = 55;
A(2,1) = 0;
A(2,2) = 24;
A(2,3) = 42;
A(3,0) = 0;
A(3,1) = 69;
A(3,2) = 0;
A(3,3) = 83;
A(4,0) = 0;
A(4,1) = 0;
A(4,2) = 27;
A(4,3) = 0;
cusp::array2d<float,cusp::host_memory> B(2,4);
B(0,0) = 0.0;
B(0,1) = 2.0;
B(0,2) = 3.0;
B(0,3) = 4.0;
B(1,0) = 5.0;
B(1,1) = 0.0;
B(1,2) = 0.0;
B(1,3) = 8.0;
cusp::array2d<float,cusp::host_memory> C(2,2);
C(0,0) = 0.0;
C(0,1) = 0.0;
C(1,0) = 3.0;
C(1,1) = 5.0;
cusp::array2d<float,cusp::host_memory> D(2,1);
D(0,0) = 2.0;
D(1,0) = 3.0;
cusp::array2d<float,cusp::host_memory> E(2,2);
E(0,0) = 0.0;
E(0,1) = 0.0;
E(1,0) = 0.0;
E(1,1) = 0.0;
cusp::array2d<float,cusp::host_memory> F(2,3);
F(0,0) = 0.0;
F(0,1) = 1.5;
F(0,2) = 3.0;
F(1,0) = 0.5;
F(1,1) = 0.0;
F(1,2) = 0.0;
cusp::array2d<float,cusp::host_memory> G;
cusp::gallery::poisson5pt(G, 4, 6);
cusp::array2d<float,cusp::host_memory> H;
cusp::gallery::poisson5pt(H, 8, 3);
CompareSparseMatrixVectorMultiply<TestMatrix>(A);
CompareSparseMatrixVectorMultiply<TestMatrix>(B);
CompareSparseMatrixVectorMultiply<TestMatrix>(C);
CompareSparseMatrixVectorMultiply<TestMatrix>(D);
CompareSparseMatrixVectorMultiply<TestMatrix>(E);
CompareSparseMatrixVectorMultiply<TestMatrix>(F);
CompareSparseMatrixVectorMultiply<TestMatrix>(G);
CompareSparseMatrixVectorMultiply<TestMatrix>(H);
}
DECLARE_SPARSE_MATRIX_UNITTEST(TestSparseMatrixVectorMultiply);
//////////////////////////////
// General Linear Operators //
//////////////////////////////
template <class MemorySpace>
void TestMultiplyIdentityOperator(void)
{
cusp::array1d<float, MemorySpace> x(4);
cusp::array1d<float, MemorySpace> y(4);
x[0] = 7.0f;
y[0] = 0.0f;
x[1] = 5.0f;
y[1] = -2.0f;
x[2] = 4.0f;
y[2] = 0.0f;
x[3] = -3.0f;
y[3] = 5.0f;
cusp::identity_operator<float, MemorySpace> A(4,4);
cusp::multiply(A, x, y);
ASSERT_EQUAL(y[0], 7.0f);
ASSERT_EQUAL(y[1], 5.0f);
ASSERT_EQUAL(y[2], 4.0f);
ASSERT_EQUAL(y[3], -3.0f);
}
DECLARE_HOST_DEVICE_UNITTEST(TestMultiplyIdentityOperator);
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