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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 ////////////////////////////////////
//
TEST(LU, InPlaceSmall)
{
if (noDoubleTests<float>()) return;
if (noLAPACKTests()) return;
int resultIdx = 0;
vector<af::dim4> numDims;
vector<vector<float> > in;
vector<vector<float> > tests;
readTests<float, float, float>(string(TEST_DIR"/lapack/lu.test"),numDims,in,tests);
af::dim4 idims = numDims[0];
af::array input(idims, &(in[0].front()));
af::array output, pivot;
af::lu(output, pivot, input);
af::dim4 odims = output.dims();
// Get result
float* outData = new float[tests[resultIdx].size()];
output.host((void*)outData);
// Compare result
for (int y = 0; y < (int)odims[1]; ++y) {
for (int x = 0; x < (int)odims[0]; ++x) {
// Check only upper triangle
if(x <= y) {
int elIter = y * odims[0] + x;
ASSERT_NEAR(tests[resultIdx][elIter], outData[elIter], 0.001) << "at: " << elIter << std::endl;
}
}
}
// Delete
delete[] outData;
}
TEST(LU, SplitSmall)
{
if (noDoubleTests<float>()) return;
if (noLAPACKTests()) return;
int resultIdx = 0;
vector<af::dim4> numDims;
vector<vector<float> > in;
vector<vector<float> > tests;
readTests<float, float, float>(string(TEST_DIR"/lapack/lufactorized.test"),numDims,in,tests);
af::dim4 idims = numDims[0];
af::array input(idims, &(in[0].front()));
af::array l, u, pivot;
af::lu(l, u, pivot, input);
af::dim4 ldims = l.dims();
af::dim4 udims = u.dims();
// Get result
float* lData = new float[ldims.elements()];
l.host((void*)lData);
float* uData = new float[udims.elements()];
u.host((void*)uData);
// Compare result
for (int y = 0; y < (int)ldims[1]; ++y) {
for (int x = 0; x < (int)ldims[0]; ++x) {
if(x < y) {
int elIter = y * ldims[0] + x;
ASSERT_NEAR(tests[resultIdx][elIter], lData[elIter], 0.001) << "at: " << elIter << std::endl;
}
}
}
resultIdx = 1;
for (int y = 0; y < (int)udims[1]; ++y) {
for (int x = 0; x < (int)udims[0]; ++x) {
int elIter = y * (int)udims[0] + x;
ASSERT_NEAR(tests[resultIdx][elIter], uData[elIter], 0.001) << "at: " << elIter << std::endl;
}
}
// Delete
delete[] lData;
delete[] uData;
}
template<typename T>
void luTester(const int m, const int n, double eps)
{
if (noDoubleTests<T>()) return;
if (noLAPACKTests()) return;
#if 1
af::array a_orig = cpu_randu<T>(af::dim4(m, n));
#else
af::array a_orig = af::randu(m, n, (af::dtype)af::dtype_traits<T>::af_type);
#endif
//! [ex_lu_unpacked]
af::array l, u, pivot;
af::lu(l, u, pivot, a_orig);
//! [ex_lu_unpacked]
//! [ex_lu_recon]
af::array a_recon = af::matmul(l, u);
af::array a_perm = a_orig(pivot, af::span);
//! [ex_lu_recon]
ASSERT_NEAR(0, af::max<double>(af::abs(real(a_recon - a_perm))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(a_recon - a_perm))), eps);
//! [ex_lu_packed]
af::array out = a_orig.copy();
af::array pivot2;
af::luInPlace(pivot2, out, false);
//! [ex_lu_packed]
//! [ex_lu_extract]
af::array l2 = lower(out, true);
af::array u2 = upper(out, false);
//! [ex_lu_extract]
ASSERT_EQ(af::count<uint>(pivot == pivot2), pivot.elements());
int mn = std::min(m, n);
l2 = l2(af::span, af::seq(mn));
u2 = u2(af::seq(mn), af::span);
ASSERT_NEAR(0, af::max<double>(af::abs(real(l2 - l))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(l2 - l))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(real(u2 - u))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(u2 - u))), eps);
}
#define LU_BIG_TESTS(T, eps) \
TEST(LU, T##BigSquare) \
{ \
luTester<T>(500, 500, eps); \
} \
TEST(LU, T##BigRect0) \
{ \
luTester<T>(500, 1000, eps); \
} \
TEST(LU, T##BigRect1) \
{ \
luTester<T>(1000, 500, eps); \
} \
TEST(LU, T##BigSquareMultiple) \
{ \
luTester<T>(512, 512, eps); \
} \
TEST(LU, T##BigRect0Multiple) \
{ \
luTester<T>(512, 1024, eps); \
} \
TEST(LU, T##BigRect1Multiple) \
{ \
luTester<T>(1024, 512, eps); \
} \
LU_BIG_TESTS(float, 1E-3)
LU_BIG_TESTS(double, 1E-8)
LU_BIG_TESTS(cfloat, 1E-3)
LU_BIG_TESTS(cdouble, 1E-8)
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