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/***************************************************************************
* Copyright (c) Wolf Vollprecht, Johan Mabille and Sylvain Corlay *
* Copyright (c) QuantStack *
* *
* Distributed under the terms of the BSD 3-Clause License. *
* *
* The full license is in the file LICENSE, distributed with this software. *
****************************************************************************/
// This file is generated from test/files/cppy_source/test_qr.cppy by preprocess.py!
#include <algorithm>
#include "xtensor/containers/xarray.hpp"
#include "xtensor/containers/xfixed.hpp"
#include "xtensor/containers/xtensor.hpp"
#include "xtensor/core/xnoalias.hpp"
#include "xtensor/views/xstrided_view.hpp"
#include "xtensor/views/xview.hpp"
#include "doctest/doctest.h"
#include "xtensor-blas/xlinalg.hpp"
namespace xt
{
using namespace xt::placeholders;
TEST_SUITE("xqr_extended")
{
/*py
a = np.random.random((6, 3))
res_q1 = np.linalg.qr(a, 'raw')
res_q2 = np.linalg.qr(a, 'complete')
res_q3 = np.linalg.qr(a, 'reduced')
res_q4 = np.linalg.qr(a, 'r')
*/
TEST_CASE("qr1")
{
// py_a
xarray<double> py_a = {
{0.3745401188473625, 0.9507143064099162, 0.7319939418114051},
{0.5986584841970366, 0.1560186404424365, 0.1559945203362026},
{0.0580836121681995, 0.8661761457749352, 0.6011150117432088},
{0.7080725777960455, 0.0205844942958024, 0.9699098521619943},
{0.8324426408004217, 0.2123391106782762, 0.1818249672071006},
{0.1834045098534338, 0.3042422429595377, 0.5247564316322378}
};
// py_resq1_h = res_q1[0]
xarray<double> py_resq1_h = {
{-1.3152987216651169,
0.3542695728401418,
0.0343722790456067,
0.4190178144924799,
0.4926165861757361,
0.1085337284576868},
{-0.567877094797874,
1.2223138676385652,
-0.507377563354501,
0.3838046167052855,
0.3339455785740943,
-0.0869071101793681},
{-1.0163710885529547,
0.7215655008695085,
0.7854784971183754,
-0.8184018010449026,
0.3355103841692942,
-0.2743559826773575}
};
// py_resq1_tau = res_q1[1]
xarray<double> py_resq1_tau = {1.2847566964660388, 1.3124991842889797, 1.0766465015522177};
auto res1 = linalg::qr(py_a, linalg::qrmode::raw);
CHECK(allclose(std::get<0>(res1), py_resq1_h));
CHECK(allclose(std::get<1>(res1), py_resq1_tau));
// py_resq2_q_cmpl = res_q2[0]
xarray<double> py_resq2_q_cmpl = {
{-0.2847566964660388,
0.6455031901264903,
-0.0295327810119745,
-0.5849049416686276,
-0.0730618203174815,
-0.3923203408230155},
{-0.4551502060605353,
-0.0838170448559192,
-0.3133472182914375,
0.0819245453270296,
-0.7892351407115688,
0.2408791714587238},
{-0.0441600156766425,
0.6881200538051697,
0.0760152664601147,
0.7143224973945713,
0.0235700722943726,
0.0891638112668339},
{-0.538335943107778,
-0.2332659103773061,
0.7525061466150681,
0.1447692100263398,
-0.0279639819291247,
-0.2603378924852559},
{-0.6328924578795164,
-0.1203177215897514,
-0.4769214096589271,
0.1040507467269484,
0.5878955555305321,
0.0326957112268428},
{-0.1394394344284399,
0.1841243791750922,
0.3185019359677401,
-0.330353243868553,
0.1575155429538277,
0.8433664457979998}
};
// py_resq2_r_cmpl = res_q2[1]
xarray<double> py_resq2_r_cmpl = {
{-1.3152987216651169, -0.567877094797874, -1.0163710885529547},
{0., 1.2223138676385652, 0.7215655008695085},
{0., 0., 0.7854784971183754},
{0., 0., 0.},
{0., 0., 0.},
{0., 0., 0.}
};
auto res2 = linalg::qr(py_a, linalg::qrmode::complete);
CHECK(allclose(std::get<0>(res2), py_resq2_q_cmpl));
CHECK(allclose(std::get<1>(res2), py_resq2_r_cmpl));
// py_resq3_q_cmpl = res_q3[0]
xarray<double> py_resq3_q_cmpl = {
{-0.2847566964660388, 0.6455031901264903, -0.0295327810119745},
{-0.4551502060605353, -0.0838170448559192, -0.3133472182914375},
{-0.0441600156766425, 0.6881200538051697, 0.0760152664601147},
{-0.538335943107778, -0.2332659103773061, 0.7525061466150681},
{-0.6328924578795164, -0.1203177215897514, -0.4769214096589271},
{-0.1394394344284399, 0.1841243791750922, 0.3185019359677401}
};
// py_resq3_r_cmpl = res_q3[1]
xarray<double> py_resq3_r_cmpl = {
{-1.3152987216651169, -0.567877094797874, -1.0163710885529547},
{0., 1.2223138676385652, 0.7215655008695085},
{0., 0., 0.7854784971183754}
};
auto res3 = linalg::qr(py_a, linalg::qrmode::reduced);
CHECK(allclose(std::get<0>(res3), py_resq3_q_cmpl));
CHECK(allclose(std::get<1>(res3), py_resq3_r_cmpl));
// py_resq4_r_r = res_q4
xarray<double> py_resq4_r_r = {
{-1.3152987216651169, -0.567877094797874, -1.0163710885529547},
{0., 1.2223138676385652, 0.7215655008695085},
{0., 0., 0.7854784971183754}
};
auto res4 = linalg::qr(py_a, linalg::qrmode::r);
CHECK(allclose(std::get<1>(res4), py_resq4_r_r));
}
/*py
a = np.random.random((5, 10))
res_q1 = np.linalg.qr(a, 'raw')
res_q2 = np.linalg.qr(a, 'complete')
res_q3 = np.linalg.qr(a, 'reduced')
res_q4 = np.linalg.qr(a, 'r')
*/
TEST_CASE("qr2")
{
// py_a
xarray<double> py_a = {
{0.4319450186421158,
0.2912291401980419,
0.6118528947223795,
0.1394938606520418,
0.2921446485352182,
0.3663618432936917,
0.4560699842170359,
0.7851759613930136,
0.1996737821583597,
0.5142344384136116},
{0.5924145688620425,
0.0464504127199977,
0.6075448519014384,
0.1705241236872915,
0.0650515929852795,
0.9488855372533332,
0.9656320330745594,
0.8083973481164611,
0.3046137691733707,
0.0976721140063839},
{0.6842330265121569,
0.4401524937396013,
0.1220382348447788,
0.4951769101112702,
0.0343885211152184,
0.9093204020787821,
0.2587799816000169,
0.662522284353982,
0.311711076089411,
0.5200680211778108},
{0.5467102793432796,
0.184854455525527,
0.9695846277645586,
0.7751328233611146,
0.9394989415641891,
0.8948273504276488,
0.5978999788110851,
0.9218742350231168,
0.0884925020519195,
0.1959828624191452},
{0.0452272889105381,
0.3253303307632643,
0.388677289689482,
0.2713490317738959,
0.8287375091519293,
0.3567533266935893,
0.2809345096873808,
0.5426960831582485,
0.1409242249747626,
0.8021969807540397}
};
// py_resq1_h = res_q1[0]
xarray<double> py_resq1_h = {
{-1.1430852952870696, 0.3761289948662397, 0.4344253062693247, 0.3471109568548026, 0.0287151863113738
},
{-0.4988738747365855, 0.4145384440977923, -0.1456730968857619, 0.1343802288038164, -0.4549175132696515
},
{-1.0982282164248067, 0.0432498341745755, 0.8009723247566577, -0.2697221220857602, -0.2118640849148782
},
{-0.8189559577243967, 0.2159221672678355, 0.2467828455102149, -0.4358731022610104, 0.0126894274012749
},
{-0.6468222288756241, 0.5399745339753012, 0.9011434603476536, -0.351682869414533, 0.120561296448323
},
{-1.6166030169206462, 0.0627336303098122, 0.1745159258713337, -0.1676233275811678, 0.3369911999240203
},
{-1.1247642047094615, -0.1631138338388989, 0.4469666475320985, 0.2296736319774871, 0.3155802843315489
},
{-1.5746170823854422, 0.2876936477590399, 0.5186696050660639, 0.0972324032495857, 0.1124970816045022
},
{-0.4678059691956431, 0.0924634343088704, -0.0398310260167535, 0.1199094213119632, 0.1189824829973467
},
{-0.6817147826175952, 0.820970464835294, 0.1936105292921997, 0.1556371881989975, 0.1610633542281176}
};
// py_resq1_tau = res_q1[1]
xarray<double> py_resq1_tau =
{1.3778764545594464, 1.604841948190939, 1.7894907284949315, 1.9996780087119976, 0.};
auto res1 = linalg::qr(py_a, linalg::qrmode::raw);
CHECK(allclose(std::get<0>(res1), py_resq1_h));
CHECK(allclose(std::get<1>(res1), py_resq1_tau));
// py_resq2_q_cmpl = res_q2[0]
xarray<double> py_resq2_q_cmpl = {
{-0.3778764545594464, 0.2477850983490846, 0.2323946032026168, 0.6442783657634201, -0.571585571841376
},
{-0.5182592859033026, -0.5116427882060656, 0.0755411199296714, 0.3718390470559858, 0.570664728309004
},
{-0.5985844007732788, 0.3414264138444293, -0.6868036045376356, -0.2311050279755065, 0.0039992397751237
},
{-0.4782760145698324, -0.1296501056095487, 0.5617369601749854, -0.625900329033334, -0.2171250093654842
},
{-0.0395659791067296, 0.7371859035261209, 0.3912015899373973, 0.0384753772446493, 0.5481536630508248}
};
// py_resq2_r_cmpl = res_q2[1]
xarray<double> py_resq2_r_cmpl = {
{-1.1430852952870696,
-0.4988738747365855,
-1.0982282164248067,
-0.8189559577243967,
-0.6468222288756241,
-1.6166030169206462,
-1.1247642047094615,
-1.5746170823854422,
-0.4678059691956431,
-0.6817147826175952},
{0.,
0.4145384440977923,
0.0432498341745755,
0.2159221672678355,
0.5399745339753012,
0.0627336303098122,
-0.1631138338388989,
0.2876936477590399,
0.0924634343088704,
0.820970464835294},
{0.,
0.,
0.8009723247566577,
0.2467828455102149,
0.9011434603476536,
0.1745159258713337,
0.4469666475320985,
0.5186696050660639,
-0.0398310260167535,
0.1936105292921997},
{0.,
0.,
0.,
-0.4358731022610104,
-0.351682869414533,
-0.1676233275811678,
0.2296736319774871,
0.0972324032495857,
0.1199094213119632,
0.1556371881989975},
{0.,
0.,
0.,
0.,
0.120561296448323,
0.3369911999240203,
0.3155802843315489,
0.1124970816045022,
0.1189824829973467,
0.1610633542281176}
};
auto res2 = linalg::qr(py_a, linalg::qrmode::complete);
CHECK(allclose(std::get<0>(res2), py_resq2_q_cmpl));
CHECK(allclose(std::get<1>(res2), py_resq2_r_cmpl));
// py_resq3_q_cmpl = res_q3[0]
xarray<double> py_resq3_q_cmpl = {
{-0.3778764545594464, 0.2477850983490846, 0.2323946032026168, 0.6442783657634201, -0.571585571841376
},
{-0.5182592859033026, -0.5116427882060656, 0.0755411199296714, 0.3718390470559858, 0.570664728309004
},
{-0.5985844007732788, 0.3414264138444293, -0.6868036045376356, -0.2311050279755065, 0.0039992397751237
},
{-0.4782760145698324, -0.1296501056095487, 0.5617369601749854, -0.625900329033334, -0.2171250093654842
},
{-0.0395659791067296, 0.7371859035261209, 0.3912015899373973, 0.0384753772446493, 0.5481536630508248}
};
// py_resq3_r_cmpl = res_q3[1]
xarray<double> py_resq3_r_cmpl = {
{-1.1430852952870696,
-0.4988738747365855,
-1.0982282164248067,
-0.8189559577243967,
-0.6468222288756241,
-1.6166030169206462,
-1.1247642047094615,
-1.5746170823854422,
-0.4678059691956431,
-0.6817147826175952},
{0.,
0.4145384440977923,
0.0432498341745755,
0.2159221672678355,
0.5399745339753012,
0.0627336303098122,
-0.1631138338388989,
0.2876936477590399,
0.0924634343088704,
0.820970464835294},
{0.,
0.,
0.8009723247566577,
0.2467828455102149,
0.9011434603476536,
0.1745159258713337,
0.4469666475320985,
0.5186696050660639,
-0.0398310260167535,
0.1936105292921997},
{0.,
0.,
0.,
-0.4358731022610104,
-0.351682869414533,
-0.1676233275811678,
0.2296736319774871,
0.0972324032495857,
0.1199094213119632,
0.1556371881989975},
{0.,
0.,
0.,
0.,
0.120561296448323,
0.3369911999240203,
0.3155802843315489,
0.1124970816045022,
0.1189824829973467,
0.1610633542281176}
};
auto res3 = linalg::qr(py_a, linalg::qrmode::reduced);
CHECK(allclose(std::get<0>(res3), py_resq3_q_cmpl));
CHECK(allclose(std::get<1>(res3), py_resq3_r_cmpl));
// py_resq4_r_r = res_q4
xarray<double> py_resq4_r_r = {
{-1.1430852952870696,
-0.4988738747365855,
-1.0982282164248067,
-0.8189559577243967,
-0.6468222288756241,
-1.6166030169206462,
-1.1247642047094615,
-1.5746170823854422,
-0.4678059691956431,
-0.6817147826175952},
{0.,
0.4145384440977923,
0.0432498341745755,
0.2159221672678355,
0.5399745339753012,
0.0627336303098122,
-0.1631138338388989,
0.2876936477590399,
0.0924634343088704,
0.820970464835294},
{0.,
0.,
0.8009723247566577,
0.2467828455102149,
0.9011434603476536,
0.1745159258713337,
0.4469666475320985,
0.5186696050660639,
-0.0398310260167535,
0.1936105292921997},
{0.,
0.,
0.,
-0.4358731022610104,
-0.351682869414533,
-0.1676233275811678,
0.2296736319774871,
0.0972324032495857,
0.1199094213119632,
0.1556371881989975},
{0.,
0.,
0.,
0.,
0.120561296448323,
0.3369911999240203,
0.3155802843315489,
0.1124970816045022,
0.1189824829973467,
0.1610633542281176}
};
auto res4 = linalg::qr(py_a, linalg::qrmode::r);
CHECK(allclose(std::get<1>(res4), py_resq4_r_r));
}
}
}
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