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/*******************************************************
* Copyright (c) 2014, ArrayFire
* All rights reserved.
*
* This file is distributed under 3-clause BSD license.
* The complete license agreement can be obtained at:
* http://arrayfire.com/licenses/BSD-3-Clause
********************************************************/
#include <gtest/gtest.h>
#include <arrayfire.h>
#include <af/dim4.hpp>
#include <af/defines.h>
#include <af/traits.hpp>
#include <vector>
#include <iostream>
#include <complex>
#include <string>
#include <testHelpers.hpp>
using std::vector;
using std::string;
using std::cout;
using std::endl;
using std::abs;
using af::cfloat;
using af::cdouble;
///////////////////////////////// CPP ////////////////////////////////////
//
template<typename T>
void solveTester(const int m, const int n, const int k, double eps)
{
af::deviceGC();
if (noDoubleTests<T>()) return;
if (noLAPACKTests()) return;
#if 1
af::array A = cpu_randu<T>(af::dim4(m, n));
af::array X0 = cpu_randu<T>(af::dim4(n, k));
#else
af::array A = af::randu(m, n, (af::dtype)af::dtype_traits<T>::af_type);
af::array X0 = af::randu(n, k, (af::dtype)af::dtype_traits<T>::af_type);
#endif
af::array B0 = af::matmul(A, X0);
//! [ex_solve]
af::array X1 = af::solve(A, B0);
//! [ex_solve]
//! [ex_solve_recon]
af::array B1 = af::matmul(A, X1);
//! [ex_solve_recon]
ASSERT_NEAR(0, af::sum<double>(af::abs(real(B0 - B1))) / (m * k), eps);
ASSERT_NEAR(0, af::sum<double>(af::abs(imag(B0 - B1))) / (m * k), eps);
}
template<typename T>
void solveLUTester(const int n, const int k, double eps)
{
af::deviceGC();
if (noDoubleTests<T>()) return;
if (noLAPACKTests()) return;
#if 1
af::array A = cpu_randu<T>(af::dim4(n, n));
af::array X0 = cpu_randu<T>(af::dim4(n, k));
#else
af::array A = af::randu(n, n, (af::dtype)af::dtype_traits<T>::af_type);
af::array X0 = af::randu(n, k, (af::dtype)af::dtype_traits<T>::af_type);
#endif
af::array B0 = af::matmul(A, X0);
//! [ex_solve_lu]
af::array A_lu, pivot;
af::lu(A_lu, pivot, A);
af::array X1 = af::solveLU(A_lu, pivot, B0);
//! [ex_solve_lu]
af::array B1 = af::matmul(A, X1);
ASSERT_NEAR(0, af::sum<double>(af::abs(real(B0 - B1))) / (n * k), eps);
ASSERT_NEAR(0, af::sum<double>(af::abs(imag(B0 - B1))) / (n * k), eps);
}
template<typename T>
void solveTriangleTester(const int n, const int k, bool is_upper, double eps)
{
af::deviceGC();
if (noDoubleTests<T>()) return;
if (noLAPACKTests()) return;
#if 1
af::array A = cpu_randu<T>(af::dim4(n, n));
af::array X0 = cpu_randu<T>(af::dim4(n, k));
#else
af::array A = af::randu(n, n, (af::dtype)af::dtype_traits<T>::af_type);
af::array X0 = af::randu(n, k, (af::dtype)af::dtype_traits<T>::af_type);
#endif
af::array L, U, pivot;
af::lu(L, U, pivot, A);
af::array AT = is_upper ? U : L;
af::array B0 = af::matmul(AT, X0);
af::array X1;
if (is_upper) {
//! [ex_solve_upper]
af::array X = af::solve(AT, B0, AF_MAT_UPPER);
//! [ex_solve_upper]
X1 = X;
} else {
//! [ex_solve_lower]
af::array X = af::solve(AT, B0, AF_MAT_LOWER);
//! [ex_solve_lower]
X1 = X;
}
af::array B1 = af::matmul(AT, X1);
ASSERT_NEAR(0, af::sum<double>(af::abs(real(B0 - B1))) / (n * k), eps);
ASSERT_NEAR(0, af::sum<double>(af::abs(imag(B0 - B1))) / (n * k), eps);
}
#define SOLVE_TESTS(T, eps) \
TEST(SOLVE_LU, T##Reg) \
{ \
solveLUTester<T>(1000, 100, eps); \
} \
TEST(SOLVE_LU, T##RegMultiple) \
{ \
solveLUTester<T>(2048, 512, eps); \
} \
TEST(SOLVE_Upper, T##Reg) \
{ \
solveTriangleTester<T>(1000, 100, true, eps); \
} \
TEST(SOLVE_Upper, T##RegMultiple) \
{ \
solveTriangleTester<T>(2048, 512, true, eps); \
} \
TEST(SOLVE_Lower, T##Reg) \
{ \
solveTriangleTester<T>(1000, 100, false, eps); \
} \
TEST(SOLVE_Lower, T##RegMultiple) \
{ \
solveTriangleTester<T>(2048, 512, false, eps); \
} \
TEST(SOLVE, T##Square) \
{ \
solveTester<T>(1000, 1000, 100, eps); \
} \
TEST(SOLVE, T##SquareMultiple) \
{ \
solveTester<T>(2048, 2048, 512, eps); \
} \
TEST(SOLVE, T##RectUnder) \
{ \
solveTester<T>(800, 1000, 200, eps); \
} \
TEST(SOLVE, T##RectUnderMultiple) \
{ \
solveTester<T>(1536, 2048, 400, eps); \
} \
TEST(SOLVE, T##RectOverMultiple) \
{ \
solveTester<T>(1536, 1024, 1, eps); \
}
SOLVE_TESTS(float, 0.01)
SOLVE_TESTS(double, 1E-5)
SOLVE_TESTS(cfloat, 0.01)
SOLVE_TESTS(cdouble, 1E-5)
#undef SOLVE_TESTS
#define SOLVE_TESTS(T, eps) \
TEST(SOLVE, T##RectOver) \
{ \
solveTester<T>(800, 600, 64, eps); \
}
SOLVE_TESTS(float, 0.01)
SOLVE_TESTS(double, 1E-5)
SOLVE_TESTS(cfloat, 0.01)
SOLVE_TESTS(cdouble, 1E-5)
#undef SOLVE_TESTS
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