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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(QRFactorized, CPP)
{
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/qrfactorized.test"),numDims,in,tests);
af::dim4 idims = numDims[0];
af::array input(idims, &(in[0].front()));
af::array q, r, tau;
af::qr(q, r, tau, input);
af::dim4 qdims = q.dims();
af::dim4 rdims = r.dims();
// Get result
float* qData = new float[qdims.elements()];
q.host((void*)qData);
float* rData = new float[rdims.elements()];
r.host((void*)rData);
// Compare result
for (int y = 0; y < (int)qdims[1]; ++y) {
for (int x = 0; x < (int)qdims[0]; ++x) {
int elIter = y * qdims[0] + x;
ASSERT_NEAR(tests[resultIdx][elIter], qData[elIter], 0.001) << "at: " << elIter << std::endl;
}
}
resultIdx = 1;
for (int y = 0; y < (int)rdims[1]; ++y) {
for (int x = 0; x < (int)rdims[0]; ++x) {
// Test only upper half
if(x <= y) {
int elIter = y * rdims[0] + x;
ASSERT_NEAR(tests[resultIdx][elIter], rData[elIter], 0.001) << "at: " << elIter << std::endl;
}
}
}
// Delete
delete[] qData;
delete[] rData;
}
template<typename T>
void qrTester(const int m, const int n, double eps)
{
try {
if (noDoubleTests<T>()) return;
if (noLAPACKTests()) return;
#if 1
af::array in = cpu_randu<T>(af::dim4(m, n));
#else
af::array in = af::randu(m, n, (af::dtype)af::dtype_traits<T>::af_type);
#endif
//! [ex_qr_unpacked]
af::array q, r, tau;
af::qr(q, r, tau, in);
//! [ex_qr_unpacked]
af::array qq = af::matmul(q, q.H());
af::array ii = af::identity(qq.dims(), qq.type());
ASSERT_NEAR(0, af::max<double>(af::abs(real(qq - ii))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(qq - ii))), eps);
//! [ex_qr_recon]
af::array re = af::matmul(q, r);
//! [ex_qr_recon]
ASSERT_NEAR(0, af::max<double>(af::abs(real(re - in))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(re - in))), eps);
//! [ex_qr_packed]
af::array out = in.copy();
af::array tau2;
qrInPlace(tau2, out);
//! [ex_qr_packed]
af::array r2 = upper(out);
ASSERT_NEAR(0, af::max<double>(af::abs(real(tau - tau2))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(tau - tau2))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(real(r2 - r))), eps);
ASSERT_NEAR(0, af::max<double>(af::abs(imag(r2 - r))), eps);
} catch(af::exception &ex) {
std::cout << ex.what() << std::endl;
throw;
}
}
#define QR_BIG_TESTS(T, eps) \
TEST(QR, T##BigRect0) \
{ \
qrTester<T>(500, 1000, eps); \
} \
TEST(QR, T##BigRect0Multiple) \
{ \
qrTester<T>(512, 1024, eps); \
} \
TEST(QR, T##BigRect1Multiple) \
{ \
qrTester<T>(1024, 512, eps); \
} \
QR_BIG_TESTS(float, 1E-3)
QR_BIG_TESTS(double, 1E-5)
QR_BIG_TESTS(cfloat, 1E-3)
QR_BIG_TESTS(cdouble, 1E-5)
#undef QR_BIG_TESTS
#define QR_BIG_TESTS(T, eps) \
TEST(QR, T##BigRect1) \
{ \
qrTester<T>(1000, 500, eps); \
} \
QR_BIG_TESTS(float, 1E-3)
QR_BIG_TESTS(double, 1E-5)
// Fails on Windows on some devices
#if !(defined(OS_WIN) && defined(AF_OPENCL))
QR_BIG_TESTS(cfloat, 1E-3)
QR_BIG_TESTS(cdouble, 1E-5)
#endif
#undef QR_BIG_TESTS
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