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test_extended_xsort.cpp
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/***************************************************************************
* Copyright (c) Johan Mabille, Sylvain Corlay and Wolf Vollprecht *
* 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_extended_xsort.cppy by preprocess.py!
// Warning: This file should not be modified directly! Instead, modify the `*.cppy` file.
#include "xtensor/containers/xarray.hpp"
#include "xtensor/core/xmath.hpp"
#include "xtensor/io/xio.hpp"
#include "xtensor/misc/xsort.hpp"
#include "xtensor/views/xview.hpp"
#include "test_common_macros.hpp"
namespace xt
{
using namespace xt::placeholders;
template <class T>
bool check_partition_equal(const T& a1, const T& a2, std::size_t kth)
{
auto p = a1[kth];
EXPECT_EQ(p, a2[kth]);
for (std::size_t i = 0; i < kth; ++i)
{
EXPECT_TRUE(a1[i] < p);
EXPECT_TRUE(a2[i] < p);
}
for (std::size_t i = kth + 1; i < a1.size(); ++i)
{
EXPECT_TRUE(p < a1[i]);
EXPECT_TRUE(p < a2[i]);
}
return true;
}
template <class X, class Y, class Z>
bool check_argpartition_equal(const X& data, const Y& a1, const Z& a2, std::size_t kth)
{
auto p = static_cast<std::size_t>(a1[kth]);
EXPECT_EQ(p, std::size_t(a2[kth]));
auto el = data[static_cast<std::size_t>(a1[kth])];
for (std::size_t i = 0; i < kth; ++i)
{
EXPECT_TRUE(data[static_cast<std::size_t>(a1[i])] < el);
EXPECT_TRUE(data[static_cast<std::size_t>(a2[i])] < el);
}
for (std::size_t i = kth + std::size_t(1); i < a1.size(); ++i)
{
EXPECT_TRUE(el < data[static_cast<std::size_t>(a1[i])]);
EXPECT_TRUE(el < data[static_cast<std::size_t>(a2[i])]);
}
return true;
}
/*py
a = np.random.randint(0, 1000, size=(20,))
*/
TEST(xtest_extended, partition)
{
// py_a
xarray<long> py_a = {102, 435, 860, 270, 106, 71, 700, 20, 614, 121,
466, 214, 330, 458, 87, 372, 99, 871, 663, 130};
// py_p5 = np.partition(a, 5)
xarray<long> py_p5 = {20, 71, 87, 99, 102, 106, 121, 700, 614, 435,
466, 214, 330, 458, 270, 372, 860, 871, 663, 130};
// py_p0 = np.partition(a, 0)
xarray<long> py_p0 = {20, 435, 860, 270, 106, 71, 700, 102, 614, 121,
466, 214, 330, 458, 87, 372, 99, 871, 663, 130};
// py_p13 = np.partition(a, 13)
xarray<long> py_p13 = {20, 102, 99, 87, 106, 71, 121, 270, 130, 435,
372, 214, 330, 458, 614, 466, 860, 871, 663, 700};
// py_p19 = np.partition(a, 19)
xarray<long> py_p19 = {20, 102, 99, 87, 106, 71, 121, 270, 130, 435,
372, 214, 330, 458, 663, 614, 466, 700, 860, 871};
// py_a5 = np.argpartition(a, 5)
xarray<long> py_a5 = {7, 5, 14, 16, 0, 4, 9, 6, 8, 1, 10, 11, 12, 13, 3, 15, 2, 17, 18, 19};
// py_a0 = np.argpartition(a, 0)
xarray<long> py_a0 = {7, 1, 2, 3, 4, 5, 6, 0, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19};
// py_a13 = np.argpartition(a, 13)
xarray<long> py_a13 = {7, 0, 16, 14, 4, 5, 9, 3, 19, 1, 15, 11, 12, 13, 8, 10, 2, 17, 18, 6};
// py_a19 = np.argpartition(a, 19)
xarray<long> py_a19 = {7, 0, 16, 14, 4, 5, 9, 3, 19, 1, 15, 11, 12, 13, 18, 8, 10, 6, 2, 17};
auto part_a0 = xt::partition(py_a, 0);
check_partition_equal(py_p0, part_a0, 0);
check_partition_equal(py_p5, xt::partition(py_a, 5), 5);
check_partition_equal(py_p13, xt::partition(py_a, 13), 13);
check_partition_equal(py_p19, xt::partition(py_a, 19), 19);
auto parta_a0 = xt::argpartition(py_a, 0);
check_argpartition_equal(py_a, py_a0, parta_a0, 0);
check_argpartition_equal(py_a, py_a5, xt::argpartition(py_a, 5), 5);
check_argpartition_equal(py_a, py_a13, xt::argpartition(py_a, 13), 13);
check_argpartition_equal(py_a, py_a19, xt::argpartition(py_a, 19), 19);
// py_median = np.median(a)
double py_median = 300.0;
EXPECT_EQ(static_cast<decltype(py_a)::value_type>(py_median), xt::median(py_a));
}
/*py
a = np.random.randint(0, 20, size=(20,))
*/
TEST(xtest_extended, multi_partition)
{
// py_a
xarray<long> py_a = {1, 11, 5, 1, 0, 11, 11, 16, 9, 15, 14, 14, 18, 11, 19, 2, 4, 18, 6, 8};
// py_p0 = np.partition(a, (4, 5, 6))
xarray<long> py_p0 = {1, 1, 0, 2, 4, 5, 6, 8, 9, 11, 14, 14, 18, 11, 19, 16, 11, 18, 11, 15};
// py_p1 = np.partition(a, (2, 7, 12))
xarray<long> py_p1 = {0, 1, 1, 2, 4, 5, 6, 8, 9, 11, 11, 11, 11, 15, 19, 16, 14, 18, 18, 14};
auto part_p0 = xt::partition(py_a, {4, 5, 6});
auto part_p1 = xt::partition(py_a, {2, 7, 12});
EXPECT_EQ(part_p0(4), py_p0(4));
EXPECT_EQ(part_p0(5), py_p0(5));
EXPECT_EQ(part_p0(6), py_p0(6));
EXPECT_EQ(part_p1(2), py_p1(2));
EXPECT_EQ(part_p1(7), py_p1(7));
EXPECT_EQ(part_p1(12), py_p1(12));
// py_a0 = np.argpartition(a, (4, 5, 6))
xarray<long> py_a0 = {0, 3, 4, 15, 16, 2, 18, 19, 8, 1, 10, 11, 12, 13, 14, 7, 6, 17, 5, 9};
// py_a1 = np.argpartition(a, (2, 7, 12))
xarray<long> py_a1 = {4, 3, 0, 15, 16, 2, 18, 19, 8, 13, 1, 6, 5, 9, 14, 7, 10, 17, 12, 11};
auto part_a0 = xt::argpartition(py_a, {4, 5, 6});
auto part_a1 = xt::argpartition(py_a, {2, 7, 12});
EXPECT_EQ(py_a[part_a0(4)], py_a[static_cast<std::size_t>(py_a0(4))]);
EXPECT_EQ(py_a[part_a0(5)], py_a[static_cast<std::size_t>(py_a0(5))]);
EXPECT_EQ(py_a[part_a0(6)], py_a[static_cast<std::size_t>(py_a0(6))]);
EXPECT_EQ(py_a[part_a1(2)], py_a[static_cast<std::size_t>(py_a1(2))]);
EXPECT_EQ(py_a[part_a1(7)], py_a[static_cast<std::size_t>(py_a1(7))]);
EXPECT_EQ(py_a[part_a1(12)], py_a[static_cast<std::size_t>(py_a1(12))]);
}
/*py
a = np.random.rand(4, 5, 6)
*/
TEST(xtest_extended, quantile_axis)
{
// py_a
xarray<double> py_a = {
{{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
},
{0.0745506436797708, 0.9868869366005173, 0.7722447692966574, 0.1987156815341724, 0.0055221171236024, 0.8154614284548342
},
{0.7068573438476171, 0.7290071680409873, 0.7712703466859457, 0.0740446517340904, 0.3584657285442726, 0.1158690595251297
},
{0.8631034258755935, 0.6232981268275579, 0.3308980248526492, 0.0635583502860236, 0.3109823217156622, 0.325183322026747
},
{0.7296061783380641, 0.6375574713552131, 0.8872127425763265, 0.4722149251619493, 0.1195942459383017, 0.713244787222995
}},
{{0.7607850486168974, 0.5612771975694962, 0.770967179954561, 0.4937955963643907, 0.5227328293819941, 0.4275410183585496
},
{0.0254191267440952, 0.1078914269933045, 0.0314291856867343, 0.6364104112637804, 0.3143559810763267, 0.5085706911647028
},
{0.907566473926093, 0.2492922291488749, 0.4103829230356297, 0.7555511385430487, 0.2287981654916225, 0.076979909828793
},
{0.289751452913768, 0.1612212872540044, 0.9296976523425731, 0.808120379564417, 0.6334037565104235, 0.8714605901877177
},
{0.8036720768991145, 0.1865700588860358, 0.8925589984899778, 0.5393422419156507, 0.8074401551640625, 0.8960912999234932
}},
{{0.3180034749718639, 0.1100519245276768, 0.2279351625419417, 0.4271077886262563, 0.8180147659224931, 0.8607305832563434
},
{0.0069521305311907, 0.5107473025775657, 0.417411003148779, 0.2221078104707302, 0.1198653673336828, 0.337615171403628
},
{0.9429097039125192, 0.3232029320207552, 0.5187906217433661, 0.7030189588951778, 0.363629602379294, 0.9717820827209607
},
{0.9624472949421112, 0.2517822958253642, 0.4972485058923855, 0.3008783098167697, 0.2848404943774676, 0.0368869473545328
},
{0.6095643339798968, 0.5026790232288615, 0.0514787512499894, 0.2786464642366114, 0.9082658859666537, 0.2395618906669724
}}
};
// py_q0 = np.quantile(a, [0., .3, .1, 1.], axis=0)
xarray<double> py_q0 = {
{{0.0650515929852795, 0.1100519245276768, 0.2279351625419417, 0.4271077886262563, 0.1409242249747626, 0.0976721140063839
},
{0.0069521305311907, 0.1078914269933045, 0.0314291856867343, 0.1987156815341724, 0.0055221171236024, 0.337615171403628
},
{0.2587799816000169, 0.2492922291488749, 0.311711076089411, 0.0740446517340904, 0.2287981654916225, 0.076979909828793
},
{0.289751452913768, 0.1612212872540044, 0.3308980248526492, 0.0635583502860236, 0.2848404943774676, 0.0368869473545328
},
{0.0884925020519195, 0.1865700588860358, 0.0452272889105381, 0.2786464642366114, 0.1195942459383017, 0.2395618906669724
}},
{{0.2927082867732054, 0.332083186476998, 0.2756345749728368, 0.4871268155905773, 0.2882448147535099, 0.394554127923333
},
{0.0235724271228047, 0.4069263870649716, 0.1129773299289744, 0.2197685975770745, 0.0315018807160568, 0.4914751391885953
},
{0.662049607622857, 0.3158118617335672, 0.4005157383410078, 0.4754656842334387, 0.3454989722390076, 0.111980144555496
},
{0.8057682285794109, 0.2427261949682282, 0.4806134577884118, 0.277146313863695, 0.3083681389818427, 0.2963536845595256
},
{0.5574571507870991, 0.1950415820658343, 0.0508536050160442, 0.3206619441105991, 0.361768985314364, 0.2681703176632035
}},
{{0.1409371575812548, 0.1840623451774505, 0.2438349666855734, 0.4471141309476966, 0.1900310882343451, 0.1966327853120336
},
{0.012492229395062, 0.2075697470171935, 0.0586119004341476, 0.2057333202151398, 0.0141820383210872, 0.3889018273319504
},
{0.393203190274297, 0.271465440010439, 0.3413126301732766, 0.2078516625672065, 0.2676984344074175, 0.088646654737694
},
{0.4617570448023157, 0.1883895898254123, 0.3808031691645701, 0.1347543381452475, 0.292683042578926, 0.1233758597561971
},
{0.2448140516303127, 0.1893938999459686, 0.0471027276123735, 0.2926516241946073, 0.2003191590636558, 0.2490980329990495
}},
{{0.8287375091519293, 0.9488855372533332, 0.9656320330745594, 0.8083973481164611, 0.8180147659224931, 0.8607305832563434
},
{0.6842330265121569, 0.9868869366005173, 0.7722447692966574, 0.6364104112637804, 0.3143559810763267, 0.9093204020787821
},
{0.9429097039125192, 0.7290071680409873, 0.7712703466859457, 0.7555511385430487, 0.5467102793432796, 0.9717820827209607
},
{0.9695846277645586, 0.7751328233611146, 0.9394989415641891, 0.8948273504276488, 0.6334037565104235, 0.9218742350231168
},
{0.8036720768991145, 0.6375574713552131, 0.8925589984899778, 0.5393422419156507, 0.9082658859666537, 0.8960912999234932
}}
};
// py_q1 = np.quantile(a, [0., .3, .1, 1.], axis=1)
xarray<double> py_q1 = {
{{0.0650515929852795, 0.1959828624191452, 0.0452272889105381, 0.3253303307632643, 0.0343885211152184, 0.0976721140063839
},
{0.0745506436797708, 0.3567533266935893, 0.2809345096873808, 0.0635583502860236, 0.0055221171236024, 0.1158690595251297
},
{0.0254191267440952, 0.1078914269933045, 0.0314291856867343, 0.4937955963643907, 0.2287981654916225, 0.076979909828793
},
{0.0069521305311907, 0.1100519245276768, 0.0514787512499894, 0.2221078104707302, 0.1198653673336828, 0.0368869473545328
}},
{{0.122549997961539, 0.4846264518624774, 0.1599728030937052, 0.5001551323245783, 0.321426473276593, 0.2021533707752008
},
{0.7114071107457065, 0.6261499957330889, 0.4189724892193085, 0.0989788576941068, 0.1238602417455939, 0.4027956150659966
},
{0.3839581720543939, 0.1662910415804107, 0.4824997744194159, 0.5587558757852766, 0.3560313507374601, 0.4437469529197803
},
{0.3763156467734705, 0.2660664230644424, 0.2658303306633091, 0.2830928333526431, 0.3005983159778329, 0.2591725468143035
}},
{{0.0744279566119355, 0.2936507149473276, 0.0759516672842344, 0.3932689625024667, 0.1424786203384793, 0.1325450506140411
},
{0.3274733237469094, 0.4633712467471767, 0.3009199157534881, 0.0677528708652503, 0.0511509686494821, 0.1995947645257767
},
{0.1311520572119643, 0.1292233710975844, 0.1830106806262924, 0.5120142545848947, 0.2630212917255041, 0.2172043532406956
},
{0.13137266830746, 0.1667440730467517, 0.1220613157667703, 0.2447232719770827, 0.1858554181511967, 0.1179569246795086
}},
{{0.9695846277645586, 0.9488855372533332, 0.9656320330745594, 0.8948273504276488, 0.5978999788110851, 0.9218742350231168
},
{0.8631034258755935, 0.9868869366005173, 0.8872127425763265, 0.5426960831582485, 0.3584657285442726, 0.8154614284548342
},
{0.907566473926093, 0.5612771975694962, 0.9296976523425731, 0.808120379564417, 0.8074401551640625, 0.8960912999234932
},
{0.9624472949421112, 0.5107473025775657, 0.5187906217433661, 0.7030189588951778, 0.9082658859666537, 0.9717820827209607
}}
};
// py_q2 = np.quantile(a, [0., .3, .1, 1.], axis=2)
xarray<double> py_q2 = {
{{0.0650515929852795, 0.0343885211152184, 0.184854455525527, 0.5978999788110851, 0.0452272889105381},
{0.1409242249747626, 0.0055221171236024, 0.0740446517340904, 0.0635583502860236, 0.1195942459383017},
{0.4275410183585496, 0.0254191267440952, 0.076979909828793, 0.1612212872540044, 0.1865700588860358},
{0.1100519245276768, 0.0069521305311907, 0.3232029320207552, 0.0368869473545328, 0.0514787512499894
}},
{{0.2011429415898773, 0.2810953642921901, 0.2852455288447139, 0.8349800868943817, 0.1422376822355323},
{0.318843918190485, 0.1366331626069716, 0.2371673940347012, 0.3180828218712046, 0.5548861982585812},
{0.5082642128731925, 0.0696603063400194, 0.2390451973202487, 0.4615776047120957, 0.6715071594073826},
{0.2729693187569028, 0.1709865889022065, 0.44121011206133, 0.2683113951014159, 0.2591041774517919}},
{{0.0813618534958317, 0.0782133779799986, 0.221817218562772, 0.6865164010860998, 0.0668598954812288},
{0.2109293673310717, 0.0400363804016866, 0.09495685562961, 0.1872703360008429, 0.2959045855501255},
{0.4606683073614702, 0.0284241562154147, 0.1528890376602077, 0.2254863700838862, 0.3629561504008433},
{0.1689935435348092, 0.0634087489324368, 0.3434162672000246, 0.1443346215899485, 0.1455203209584809
}},
{{0.9656320330745594, 0.9093204020787821, 0.662522284353982, 0.9695846277645586, 0.388677289689482},
{0.8287375091519293, 0.9868869366005173, 0.7712703466859457, 0.8631034258755935, 0.8872127425763265},
{0.770967179954561, 0.6364104112637804, 0.907566473926093, 0.9296976523425731, 0.8960912999234932},
{0.8607305832563434, 0.5107473025775657, 0.9717820827209607, 0.9624472949421112, 0.9082658859666537}}
};
EXPECT_TRUE(xt::allclose(py_q0, xt::quantile(py_a, {0., .3, .1, 1.}, 0)));
EXPECT_TRUE(xt::allclose(py_q1, xt::quantile(py_a, {0., .3, .1, 1.}, 1)));
EXPECT_TRUE(xt::allclose(py_q2, xt::quantile(py_a, {0., .3, .1, 1.}, 2)));
}
/*py
a = np.random.rand(4, 5, 6)
*/
TEST(xtest_extended, quantile_methods)
{
// py_a
xarray<double> py_a = {
{{0.1448948720912231, 0.489452760277563, 0.9856504541106007, 0.2420552715115004, 0.6721355474058786, 0.7616196153287176
},
{0.2376375439923997, 0.7282163486118596, 0.3677831327192532, 0.6323058305935795, 0.6335297107608947, 0.5357746840747585
},
{0.0902897700544083, 0.835302495589238, 0.3207800649717358, 0.1865185103998542, 0.0407751415547639, 0.5908929431882418
},
{0.6775643618422824, 0.0165878289278562, 0.512093058299281, 0.226495775197938, 0.6451727904094499, 0.1743664290049914
},
{0.690937738102466, 0.3867353463005374, 0.9367299887367345, 0.1375209441459933, 0.3410663510502585, 0.1134735212405891
}},
{{0.9246936182785628, 0.877339353380981, 0.2579416277151556, 0.659984046034179, 0.8172222002012158, 0.5552008115994623
},
{0.5296505783560065, 0.2418522909004517, 0.0931027678058992, 0.8972157579533268, 0.9004180571633305, 0.6331014572732679
},
{0.3390297910487007, 0.3492095746126609, 0.7259556788702394, 0.8971102599525771, 0.8870864242651173, 0.7798755458576239
},
{0.6420316461542878, 0.0841399649950488, 0.1616287140946138, 0.8985541885270792, 0.6064290596595899, 0.0091970516166296
},
{0.1014715428660321, 0.6635017691080558, 0.0050615838462187, 0.1608080514174987, 0.5487337893665861, 0.6918951976926933
}},
{{0.6519612595026005, 0.2242693094605598, 0.7121792213475359, 0.2372490874968001, 0.3253996981592677, 0.7464914051180241
},
{0.6496328990472147, 0.8492234104941779, 0.6576128923003434, 0.5683086033354716, 0.0936747678280925, 0.3677158030594335
},
{0.2652023676817254, 0.2439896433790836, 0.9730105547524456, 0.3930977246667604, 0.8920465551771133, 0.6311386259972629
},
{0.7948113035416484, 0.5026370931051921, 0.5769038846263591, 0.4925176938188639, 0.1952429877980445, 0.7224521152615053
},
{0.2807723624408558, 0.0243159664314538, 0.6454722959071678, 0.1771106794070489, 0.9404585843529143, 0.9539285770025874
}},
{{0.9148643902204485, 0.3701587002554444, 0.0154566165288674, 0.9283185625877254, 0.4281841483173143, 0.9666548190436696
},
{0.9636199770892528, 0.8530094554673601, 0.2944488920695857, 0.3850977286019253, 0.8511366715168569, 0.3169220051562777
},
{0.1694927466860925, 0.5568012624583502, 0.936154774160781, 0.696029796674973, 0.570061170089365, 0.0971764937707685
},
{0.6150072266991697, 0.9900538501042633, 0.140084015236524, 0.5183296523637367, 0.8773730719279554, 0.7407686177542044
},
{0.697015740995268, 0.7024840839871093, 0.3594911512197552, 0.2935918442644934, 0.8093611554785136, 0.8101133946791808
}}
};
// py_q4 = np.quantile(a, [0., .3, .1, 1.], method="interpolated_inverted_cdf")
xarray<double> py_q4 = {0.0050615838462187, 0.3169220051562777, 0.1014715428660321, 0.9900538501042633};
// py_q5 = np.quantile(a, [0., .3, .1, 1.], method="hazen")
xarray<double> py_q5 = {0.0050615838462187, 0.3188510350640067, 0.1074725320533106, 0.9900538501042633};
// py_q6 = np.quantile(a, [0., .3, .1, 1.], method="weibull")
xarray<double> py_q6 = {0.0050615838462187, 0.3180794231009151, 0.1026717407034878, 0.9900538501042633};
// py_q7 = np.quantile(a, [0., .3, .1, 1.], method="linear")
xarray<double> py_q7 = {0.0050615838462187, 0.3196226470270984, 0.1122733234031334, 0.9900538501042633};
// py_q8 = np.quantile(a, [0., .3, .1, 1.], method="median_unbiased")
xarray<double> py_q8 = {0.0050615838462187, 0.3185938310763095, 0.1058722682700363, 0.9900538501042633};
// py_q9 = np.quantile(a, [0., .3, .1, 1.], method="normal_unbiased")
xarray<double> py_q9 = {0.0050615838462187, 0.3186581320732338, 0.1062723342158549, 0.9900538501042633};
EXPECT_TRUE(
xt::allclose(py_q4, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::interpolated_inverted_cdf))
);
EXPECT_TRUE(xt::allclose(py_q5, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::hazen)));
EXPECT_TRUE(xt::allclose(py_q6, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::weibull)));
EXPECT_TRUE(xt::allclose(py_q7, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::linear)));
EXPECT_TRUE(xt::allclose(py_q8, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::median_unbiased)));
EXPECT_TRUE(xt::allclose(py_q9, xt::quantile(py_a, {0., .3, .1, 1.}, quantile_method::normal_unbiased)));
}
/*py
a = np.random.rand(5, 5, 5)
*/
TEST(xtest_extended, axis_median)
{
// py_a
xarray<double> py_a = {
{{0.8670723185801037, 0.9132405525564713, 0.5113423988609378, 0.5015162946871996, 0.7982951789667752},
{0.6499639307777652, 0.7019668772577033, 0.795792669436101, 0.8900053418175663, 0.3379951568515358},
{0.375582952639944, 0.093981939840869, 0.578280140996174, 0.0359422737967421, 0.4655980181324602},
{0.5426446347075766, 0.2865412521282844, 0.5908332605690108, 0.0305002499390494, 0.0373481887492144},
{0.8226005606596583, 0.3601906414112629, 0.1270605126518848, 0.5222432600548044, 0.7699935530986108
}},
{{0.2158210274968432, 0.6228904758190003, 0.085347464993768, 0.0516817211686077, 0.531354631568148},
{0.5406351216101065, 0.6374299014982066, 0.7260913337226615, 0.9758520794625346, 0.5163003483011953},
{0.322956472941246, 0.7951861947687037, 0.2708322512620742, 0.4389714207056361, 0.078456381342266},
{0.0253507434154575, 0.9626484146779251, 0.8359801205122058, 0.695974206093698, 0.4089529444142699},
{0.1732943200708458, 0.156437042671086, 0.2502428981645953, 0.5492266647061205, 0.7145959227000623}},
{{0.6601973767177313, 0.2799338969459428, 0.9548652806631941, 0.7378969166957685, 0.5543540525114007},
{0.6117207462343522, 0.4196000624277899, 0.2477309895011575, 0.3559726786512616, 0.7578461104643691},
{0.0143934886297559, 0.1160726405069162, 0.0460026420217527, 0.0407288023189701, 0.8554605840110072},
{0.7036578593800237, 0.4741738290873252, 0.0978341606510015, 0.4916158751168324, 0.4734717707805657},
{0.1732018699100152, 0.433851649237973, 0.3985047343973734, 0.6158500980522165, 0.6350936508676438}},
{{0.0453040097720445, 0.3746126146264712, 0.6258599157142364, 0.5031362585800877, 0.8564898411883223},
{0.658693631618945, 0.1629344270814297, 0.0705687474004298, 0.6424192782063156, 0.0265113105416218},
{0.5857755812734633, 0.9402302414249576, 0.575474177875879, 0.3881699262065219, 0.6432882184423532},
{0.4582528904915166, 0.5456167893159349, 0.9414648087765252, 0.3861026378007743, 0.9611905638239142},
{0.9053506419560637, 0.1957911347892964, 0.0693613008751655, 0.1007780013774267, 0.0182218256515497
}},
{{0.0944429607559284, 0.6830067734163568, 0.071188648460229, 0.3189756302937613, 0.8448753109694546},
{0.0232719357358259, 0.8144684825889358, 0.2818547747733999, 0.1181648276216563, 0.6967371653641506},
{0.628942846779884, 0.877472013527053, 0.7350710438038858, 0.8034809303848486, 0.2820345725713065},
{0.1774395437797228, 0.7506147516408583, 0.806834739267264, 0.9905051420006733, 0.4126176769114265},
{0.3720180857927832, 0.7764129607419968, 0.3408035402530178, 0.9307573256035647, 0.8584127518430118}}
};
// py_m = np.median(a)
double py_m = 0.5113423988609378;
// py_m0 = np.median(a, 0)
xarray<double> py_m0 = {
{0.2158210274968432, 0.6228904758190003, 0.5113423988609378, 0.5015162946871996, 0.7982951789667752},
{0.6117207462343522, 0.6374299014982066, 0.2818547747733999, 0.6424192782063156, 0.5163003483011953},
{0.375582952639944, 0.7951861947687037, 0.575474177875879, 0.3881699262065219, 0.4655980181324602},
{0.4582528904915166, 0.5456167893159349, 0.806834739267264, 0.4916158751168324, 0.4126176769114265},
{0.3720180857927832, 0.3601906414112629, 0.2502428981645953, 0.5492266647061205, 0.7145959227000623}
};
// py_m1 = np.median(a, 1)
xarray<double> py_m1 = {
{0.6499639307777652, 0.3601906414112629, 0.578280140996174, 0.5015162946871996, 0.4655980181324602},
{0.2158210274968432, 0.6374299014982066, 0.2708322512620742, 0.5492266647061205, 0.5163003483011953},
{0.6117207462343522, 0.4196000624277899, 0.2477309895011575, 0.4916158751168324, 0.6350936508676438},
{0.5857755812734633, 0.3746126146264712, 0.575474177875879, 0.3881699262065219, 0.6432882184423532},
{0.1774395437797228, 0.7764129607419968, 0.3408035402530178, 0.8034809303848486, 0.6967371653641506}
};
// py_m2 = np.median(a, 2)
xarray<double> py_m2 = {
{0.7982951789667752, 0.7019668772577033, 0.375582952639944, 0.2865412521282844, 0.5222432600548044},
{0.2158210274968432, 0.6374299014982066, 0.322956472941246, 0.695974206093698, 0.2502428981645953},
{0.6601973767177313, 0.4196000624277899, 0.0460026420217527, 0.4741738290873252, 0.433851649237973},
{0.5031362585800877, 0.1629344270814297, 0.5857755812734633, 0.5456167893159349, 0.1007780013774267},
{0.3189756302937613, 0.2818547747733999, 0.7350710438038858, 0.7506147516408583, 0.7764129607419968}
};
EXPECT_EQ(py_m, xt::median(py_a));
EXPECT_EQ(py_m0, xt::median(py_a, 0));
EXPECT_EQ(py_m1, xt::median(py_a, 1));
EXPECT_EQ(py_m2, xt::median(py_a, 2));
}
/*py
a = np.random.permutation(np.arange(5 * 5 * 5)).reshape(5, 5, 5)
*/
TEST(xtest_extended, axis_partition)
{
// py_a
xarray<long> py_a = {
{{110, 67, 43, 114, 86},
{117, 31, 40, 46, 62},
{10, 78, 33, 103, 14},
{23, 101, 66, 91, 89},
{20, 123, 32, 50, 106}},
{{69, 108, 96, 64, 65},
{59, 55, 76, 19, 119},
{92, 2, 42, 25, 9},
{63, 79, 115, 30, 5},
{35, 3, 53, 90, 105}},
{{71, 21, 0, 44, 47},
{7, 102, 37, 36, 28},
{97, 1, 72, 26, 49},
{73, 81, 39, 109, 45},
{6, 116, 80, 100, 17}},
{{74, 34, 4, 13, 113},
{57, 41, 87, 38, 56},
{93, 121, 52, 84, 95},
{24, 118, 68, 15, 82},
{51, 94, 77, 27, 70}},
{{8, 75, 107, 60, 11},
{99, 48, 18, 58, 122},
{85, 120, 111, 83, 61},
{124, 16, 29, 104, 98},
{88, 22, 12, 54, 112}}
};
// py_p0 = np.partition(a, 2, 0)
xarray<long> py_p0 = {
{{8, 21, 0, 13, 11}, {7, 31, 18, 19, 28}, {10, 1, 33, 25, 9}, {23, 16, 29, 15, 5}, {6, 3, 12, 27, 17}
},
{{69, 34, 4, 44, 47},
{57, 41, 37, 36, 56},
{85, 2, 42, 26, 14},
{24, 79, 39, 30, 45},
{20, 22, 32, 50, 70}},
{{71, 67, 43, 60, 65},
{59, 48, 40, 38, 62},
{92, 78, 52, 83, 49},
{63, 81, 66, 91, 82},
{35, 94, 53, 54, 105}},
{{74, 108, 96, 114, 113},
{117, 55, 87, 46, 119},
{93, 121, 72, 84, 95},
{73, 118, 68, 109, 89},
{51, 116, 77, 90, 106}},
{{110, 75, 107, 64, 86},
{99, 102, 76, 58, 122},
{97, 120, 111, 103, 61},
{124, 101, 115, 104, 98},
{88, 123, 80, 100, 112}}
};
// py_p1 = np.partition(a, 4, 1)
xarray<long> py_p1 = {
{{10, 31, 32, 91, 62},
{20, 67, 33, 50, 14},
{23, 78, 40, 46, 86},
{110, 101, 43, 103, 89},
{117, 123, 66, 114, 106}},
{{63, 2, 42, 30, 5},
{35, 3, 53, 25, 9},
{59, 55, 76, 19, 65},
{69, 79, 96, 64, 105},
{92, 108, 115, 90, 119}},
{{7, 1, 39, 36, 45},
{6, 21, 0, 26, 17},
{71, 81, 37, 44, 28},
{73, 102, 72, 100, 47},
{97, 116, 80, 109, 49}},
{{24, 41, 4, 15, 82},
{51, 34, 52, 13, 70},
{57, 94, 68, 27, 56},
{74, 118, 77, 38, 95},
{93, 121, 87, 84, 113}},
{{8, 16, 29, 58, 11},
{85, 22, 12, 54, 61},
{88, 48, 18, 60, 98},
{99, 75, 107, 83, 112},
{124, 120, 111, 104, 122}}
};
// py_p2 = np.partition(a, 3, 2)
xarray<long> py_p2 = {
{{67, 43, 86, 110, 114},
{46, 40, 31, 62, 117},
{10, 14, 33, 78, 103},
{23, 66, 89, 91, 101},
{20, 32, 50, 106, 123}},
{{64, 65, 69, 96, 108},
{19, 59, 55, 76, 119},
{25, 9, 2, 42, 92},
{30, 5, 63, 79, 115},
{3, 35, 53, 90, 105}},
{{44, 0, 21, 47, 71},
{7, 28, 36, 37, 102},
{26, 49, 1, 72, 97},
{39, 45, 73, 81, 109},
{6, 17, 80, 100, 116}},
{{13, 4, 34, 74, 113},
{38, 56, 41, 57, 87},
{84, 52, 93, 95, 121},
{15, 24, 68, 82, 118},
{27, 51, 70, 77, 94}},
{{8, 11, 60, 75, 107},
{58, 18, 48, 99, 122},
{83, 61, 85, 111, 120},
{16, 29, 98, 104, 124},
{54, 12, 22, 88, 112}}
};
auto p0 = xt::partition(py_a, 2, 0);
auto p1 = xt::partition(py_a, 4, 1);
auto p2 = xt::partition(py_a, 3, 2);
EXPECT_EQ(xt::view(py_p0, 2, all(), all()), xt::view(p0, 2, all(), all()));
EXPECT_EQ(xt::view(py_p1, all(), 4, all()), xt::view(p1, all(), 4, all()));
EXPECT_EQ(xt::view(py_p2, all(), all(), 3), xt::view(p2, all(), all(), 3));
// py_a0 = np.argpartition(a, 2, 0)
xarray<long> py_a0 = {
{{4, 2, 2, 3, 4}, {2, 0, 4, 1, 2}, {0, 2, 0, 1, 1}, {0, 4, 4, 3, 1}, {2, 1, 4, 3, 2}},
{{1, 3, 3, 2, 2}, {3, 3, 2, 2, 3}, {4, 1, 1, 2, 0}, {3, 1, 2, 1, 2}, {0, 4, 0, 0, 3}},
{{2, 0, 0, 4, 1}, {1, 4, 0, 3, 0}, {1, 0, 3, 4, 2}, {1, 2, 0, 0, 3}, {1, 3, 1, 4, 1}},
{{3, 1, 1, 0, 3}, {0, 1, 3, 0, 1}, {3, 3, 2, 3, 3}, {2, 3, 3, 2, 0}, {3, 2, 3, 1, 0}},
{{0, 4, 4, 1, 0}, {4, 2, 1, 4, 4}, {2, 4, 4, 0, 4}, {4, 0, 1, 4, 4}, {4, 0, 2, 2, 4}}
};
// py_a1 = np.argpartition(a, 4, 1)
xarray<long> py_a1 = {
{{2, 1, 4, 3, 1}, {4, 0, 2, 4, 2}, {3, 2, 1, 1, 0}, {0, 3, 0, 2, 3}, {1, 4, 3, 0, 4}},
{{3, 2, 2, 3, 3}, {4, 4, 4, 2, 2}, {1, 1, 1, 1, 0}, {0, 3, 0, 0, 4}, {2, 0, 3, 4, 1}},
{{1, 2, 3, 1, 3}, {4, 0, 0, 2, 4}, {0, 3, 1, 0, 1}, {3, 1, 2, 4, 0}, {2, 4, 4, 3, 2}},
{{3, 1, 0, 3, 3}, {4, 0, 2, 0, 4}, {1, 4, 3, 4, 1}, {0, 3, 4, 1, 2}, {2, 2, 1, 2, 0}},
{{0, 3, 3, 1, 0}, {2, 4, 4, 4, 2}, {4, 1, 1, 0, 3}, {1, 0, 0, 2, 4}, {3, 2, 2, 3, 1}}
};
// py_a2 = np.argpartition(a, 3, 2)
xarray<long> py_a2 = {
{{1, 2, 4, 0, 3}, {3, 2, 1, 4, 0}, {0, 4, 2, 1, 3}, {0, 2, 4, 3, 1}, {0, 2, 3, 4, 1}},
{{3, 4, 0, 2, 1}, {3, 0, 1, 2, 4}, {3, 4, 1, 2, 0}, {3, 4, 0, 1, 2}, {1, 0, 2, 3, 4}},
{{3, 2, 1, 4, 0}, {0, 4, 3, 2, 1}, {3, 4, 1, 2, 0}, {2, 4, 0, 1, 3}, {0, 4, 2, 3, 1}},
{{3, 2, 1, 0, 4}, {3, 4, 1, 0, 2}, {3, 2, 0, 4, 1}, {3, 0, 2, 4, 1}, {3, 0, 4, 2, 1}},
{{0, 4, 3, 1, 2}, {3, 2, 1, 0, 4}, {3, 4, 0, 2, 1}, {1, 2, 4, 3, 0}, {3, 2, 1, 0, 4}}
};
auto a0 = xt::argpartition(py_a, 2, 0);
auto a1 = xt::argpartition(py_a, 4, 1);
auto a2 = xt::argpartition(py_a, 3, 2);
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a0, 2, all(), all())), xt::view(a0, 2, all(), all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a1, all(), 4, all())), xt::view(a1, all(), 4, all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a2, all(), all(), 3)), xt::view(a2, all(), all(), 3));
}
/*py
a = np.random.permutation(np.arange(5 * 5 * 5)).reshape(5, 5, 5)
*/
TEST(xtest_extended, multi_k_axis_partition)
{
// py_a
xarray<long> py_a = {
{{87, 38, 85, 104, 100},
{69, 50, 60, 108, 42},
{19, 113, 66, 122, 54},
{81, 31, 109, 111, 78},
{43, 93, 6, 105, 1}},
{{98, 110, 97, 3, 77},
{61, 44, 118, 8, 123},
{52, 96, 18, 39, 112},
{41, 36, 22, 119, 37},
{51, 121, 107, 88, 94}},
{{79, 47, 20, 120, 80},
{92, 33, 70, 82, 67},
{90, 58, 21, 84, 99},
{25, 10, 124, 17, 64},
{114, 4, 29, 55, 9}},
{{65, 24, 46, 68, 5},
{34, 45, 12, 28, 76},
{83, 32, 72, 16, 62},
{26, 63, 40, 106, 103},
{49, 59, 57, 102, 89}},
{{35, 91, 7, 27, 23},
{75, 101, 71, 115, 95},
{73, 11, 74, 56, 86},
{15, 2, 117, 53, 116},
{0, 30, 14, 13, 48}}
};
// py_p0 = np.partition(a, (1, 2), 0)
xarray<long> py_p0 = {
{{35, 24, 7, 3, 5}, {34, 33, 12, 8, 42}, {19, 11, 18, 16, 54}, {15, 2, 22, 17, 37}, {0, 4, 6, 13, 1}},
{{65, 38, 20, 27, 23},
{61, 44, 60, 28, 67},
{52, 32, 21, 39, 62},
{25, 10, 40, 53, 64},
{43, 30, 14, 55, 9}},
{{79, 47, 46, 68, 77},
{69, 45, 70, 82, 76},
{73, 58, 66, 56, 86},
{26, 31, 109, 106, 78},
{49, 59, 29, 88, 48}},
{{98, 110, 97, 120, 100},
{92, 50, 118, 108, 123},
{83, 96, 72, 122, 112},
{41, 63, 124, 111, 103},
{114, 93, 57, 102, 89}},
{{87, 91, 85, 104, 80},
{75, 101, 71, 115, 95},
{90, 113, 74, 84, 99},
{81, 36, 117, 119, 116},
{51, 121, 107, 105, 94}}
};
// py_p1 = np.partition(a, (1, 4), 1)
xarray<long> py_p1 = {
{{19, 31, 6, 104, 1},
{43, 38, 60, 105, 42},
{69, 50, 66, 108, 54},
{81, 93, 85, 111, 78},
{87, 113, 109, 122, 100}},
{{41, 36, 18, 3, 37},
{51, 44, 22, 8, 77},
{52, 96, 97, 39, 94},
{61, 110, 107, 88, 112},
{98, 121, 118, 119, 123}},
{{25, 4, 20, 17, 9},
{79, 10, 21, 55, 64},
{90, 33, 29, 82, 67},
{92, 47, 70, 84, 80},
{114, 58, 124, 120, 99}},
{{26, 24, 12, 16, 5},
{34, 32, 40, 28, 62},
{49, 45, 46, 68, 76},
{65, 59, 57, 102, 89},
{83, 63, 72, 106, 103}},
{{0, 2, 7, 13, 23},
{15, 11, 14, 27, 48},
{35, 30, 71, 53, 86},
{73, 91, 74, 56, 95},
{75, 101, 117, 115, 116}}
};
// py_p2 = np.partition(a, (1, 3), 2)
xarray<long> py_p2 = {
{{38, 85, 87, 100, 104},
{42, 50, 60, 69, 108},
{19, 54, 66, 113, 122},
{31, 78, 81, 109, 111},
{1, 6, 43, 93, 105}},
{{3, 77, 97, 98, 110},
{8, 44, 61, 118, 123},
{18, 39, 52, 96, 112},
{22, 36, 37, 41, 119},
{51, 88, 94, 107, 121}},
{{20, 47, 79, 80, 120},
{33, 67, 70, 82, 92},
{21, 58, 84, 90, 99},
{10, 17, 25, 64, 124},
{4, 9, 29, 55, 114}},
{{5, 24, 46, 65, 68},
{12, 28, 34, 45, 76},
{16, 32, 62, 72, 83},
{26, 40, 63, 103, 106},
{49, 57, 59, 89, 102}},
{{7, 23, 27, 35, 91},
{71, 75, 95, 101, 115},
{11, 56, 73, 74, 86},
{2, 15, 53, 116, 117},
{0, 13, 14, 30, 48}}
};
auto p0 = xt::partition(py_a, {1, 2}, 0);
auto p1 = xt::partition(py_a, {1, 4}, 1);
auto p2 = xt::partition(py_a, {1, 3}, 2);
EXPECT_EQ(xt::view(py_p0, 2, all(), all()), xt::view(p0, 2, all(), all()));
EXPECT_EQ(xt::view(py_p1, all(), 4, all()), xt::view(p1, all(), 4, all()));
EXPECT_EQ(xt::view(py_p2, all(), all(), 3), xt::view(p2, all(), all(), 3));
EXPECT_EQ(xt::view(py_p0, 1, all(), all()), xt::view(p0, 1, all(), all()));
EXPECT_EQ(xt::view(py_p1, all(), 1, all()), xt::view(p1, all(), 1, all()));
EXPECT_EQ(xt::view(py_p2, all(), all(), 1), xt::view(p2, all(), all(), 1));
// py_a0 = np.argpartition(a, (1, 2), 0)
xarray<long> py_a0 = {
{{4, 3, 4, 1, 3}, {3, 2, 3, 1, 0}, {0, 4, 1, 3, 0}, {4, 4, 1, 2, 1}, {4, 2, 0, 4, 0}},
{{3, 0, 2, 4, 4}, {1, 1, 0, 3, 2}, {1, 3, 2, 1, 3}, {2, 2, 3, 4, 2}, {0, 4, 4, 2, 2}},
{{2, 2, 3, 3, 1}, {0, 3, 2, 2, 3}, {4, 2, 0, 4, 4}, {3, 0, 0, 3, 0}, {3, 3, 2, 1, 4}},
{{1, 1, 1, 2, 0}, {2, 0, 1, 0, 1}, {3, 1, 3, 0, 1}, {1, 3, 2, 0, 3}, {2, 0, 3, 3, 3}},
{{0, 4, 0, 0, 2}, {4, 4, 4, 4, 4}, {2, 0, 4, 2, 2}, {0, 1, 4, 1, 4}, {1, 1, 1, 0, 1}}
};
// py_a1 = np.argpartition(a, (1, 4), 1)
xarray<long> py_a1 = {
{{2, 3, 4, 0, 4}, {4, 0, 1, 4, 1}, {1, 1, 2, 1, 2}, {3, 4, 0, 3, 3}, {0, 2, 3, 2, 0}},
{{3, 3, 2, 0, 3}, {4, 1, 3, 1, 0}, {2, 2, 0, 2, 4}, {1, 0, 4, 4, 2}, {0, 4, 1, 3, 1}},
{{3, 4, 0, 3, 4}, {0, 3, 2, 4, 3}, {2, 1, 4, 1, 1}, {1, 0, 1, 2, 0}, {4, 2, 3, 0, 2}},
{{3, 0, 1, 2, 0}, {1, 2, 3, 1, 2}, {4, 1, 0, 0, 1}, {0, 4, 4, 4, 4}, {2, 3, 2, 3, 3}},
{{4, 3, 0, 4, 0}, {3, 2, 4, 0, 4}, {0, 4, 1, 3, 2}, {2, 0, 2, 2, 1}, {1, 1, 3, 1, 3}}
};
// py_a2 = np.argpartition(a, (1, 3), 2)
xarray<long> py_a2 = {
{{1, 2, 0, 4, 3}, {4, 1, 2, 0, 3}, {0, 4, 2, 1, 3}, {1, 4, 0, 2, 3}, {4, 2, 0, 1, 3}},
{{3, 4, 2, 0, 1}, {3, 1, 0, 2, 4}, {2, 3, 0, 1, 4}, {2, 1, 4, 0, 3}, {0, 3, 4, 2, 1}},
{{2, 1, 0, 4, 3}, {1, 4, 2, 3, 0}, {2, 1, 3, 0, 4}, {1, 3, 0, 4, 2}, {1, 4, 2, 3, 0}},
{{4, 1, 2, 0, 3}, {2, 3, 0, 1, 4}, {3, 1, 4, 2, 0}, {0, 2, 1, 4, 3}, {0, 2, 1, 4, 3}},
{{2, 4, 3, 0, 1}, {2, 0, 4, 1, 3}, {1, 3, 0, 2, 4}, {1, 0, 3, 4, 2}, {0, 3, 2, 1, 4}}
};
auto a0 = xt::argpartition(py_a, {1, 2}, 0);
auto a1 = xt::argpartition(py_a, {1, 4}, 1);
auto a2 = xt::argpartition(py_a, {1, 3}, 2);
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a0, 2, all(), all())), xt::view(a0, 2, all(), all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a1, all(), 4, all())), xt::view(a1, all(), 4, all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a2, all(), all(), 3)), xt::view(a2, all(), all(), 3));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a0, 1, all(), all())), xt::view(a0, 1, all(), all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a1, all(), 1, all())), xt::view(a1, all(), 1, all()));
EXPECT_EQ(xt::cast<std::size_t>(xt::view(py_a2, all(), all(), 1)), xt::view(a2, all(), all(), 1));
}
}