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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. *
****************************************************************************/
#include "test_common_macros.hpp"
#if (defined(__GNUC__) && !defined(__clang__))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#include "xtensor/xmath.hpp"
#pragma GCC diagnostic pop
#endif
#include <xtensor/xindex_view.hpp>
#include "xtensor/xarray.hpp"
#include "xtensor/xmath.hpp"
#include "xtensor/xstrided_view.hpp"
#include "xtensor/xtensor.hpp"
#include "xtl/xtype_traits.hpp"
namespace xt
{
using namespace std::complex_literals;
static const double nanv = std::nan("0");
static const double d_min = std::numeric_limits<double>::min();
static const double d_max = std::numeric_limits<double>::max();
#define NAN_SENSITIVE_EQ(E1, E2, PLACE_HOLDER) \
EXPECT_EQ(xt::isnan(E1), xt::equal(E2, PLACE_HOLDER)); \
EXPECT_EQ(xt::filter(E1, !xt::isnan(E1)), xt::filter(E2, xt::not_equal(E2, PLACE_HOLDER)));
namespace nantest
{
xarray<double> aN = {{nanv, nanv, 123, 3}, {1, 2, nanv, 3}, {1, 1, nanv, 3}};
xarray<double> aR = {{0, 0, 123, 3}, {1, 2, 0, 3}, {1, 1, 0, 3}};
xarray<double> aP = {{1, 1, 123, 3}, {1, 2, 1, 3}, {1, 1, 1, 3}};
xarray<double> aI = {{d_max, d_max, 123, 3}, {1, 2, d_max, 3}, {1, 1, d_max, 3}};
xarray<double> aA = {{d_min, d_min, 123, 3}, {1, 2, d_min, 3}, {1, 1, d_min, 3}};
xarray<double> xN = {{{nanv, nanv}, {1, 2}}, {{3, nanv}, {nanv, 5}}};
xarray<double> xR = {{{0, 0}, {1, 2}}, {{3, 0}, {0, 5}}};
xarray<double> xP = {{{1, 1}, {1, 2}}, {{3, 1}, {1, 5}}};
xarray<double> xI = {{{d_max, d_max}, {1, 2}}, {{3, d_max}, {d_max, 5}}};
xarray<double> xA = {{{d_min, d_min}, {1, 2}}, {{3, d_min}, {d_min, 5}}};
xarray<std::complex<double>> cN = {{1.0 + 1.0i, 1.0 + 1.0i, nanv}, {1.0 - 1.0i, 1.0, 3.0 + 2.0i}};
}
TEST(xnanfunctions, count_nonnan)
{
xarray<double> a = {{0, 1, 2, 3}, {nanv, nanv, nanv, nanv}, {3, nanv, 1, nanv}};
std::size_t as = count_nonnan(a)();
std::size_t ase = count_nonnan(a, evaluation_strategy::immediate)();
EXPECT_EQ(as, 6u);
EXPECT_EQ(ase, 6u);
xarray<std::size_t> ea0 = {2, 1, 2, 1};
xarray<std::size_t> ea1 = {4, 0, 2};
EXPECT_EQ(count_nonnan(a, {0}), ea0);
EXPECT_EQ(count_nonnan(a, {1}), ea1);
EXPECT_EQ(count_nonnan(a, {0}, evaluation_strategy::immediate), ea0);
EXPECT_EQ(count_nonnan(a, {1}, evaluation_strategy::immediate), ea1);
}
TEST(xnanfunctions, nan_to_num)
{
double neg_inf = -std::numeric_limits<double>::infinity();
double inf = std::numeric_limits<double>::infinity();
xarray<double> a = {{nanv, nanv, 123}, {0.5123, neg_inf, inf}};
auto expr = nan_to_num(a);
EXPECT_EQ(expr(0, 0), 0);
EXPECT_EQ(expr(0, 1), 0);
EXPECT_EQ(expr(0, 2), 123);
EXPECT_EQ(expr(1, 0), 0.5123);
EXPECT_EQ(expr(1, 1), std::numeric_limits<double>::lowest());
EXPECT_TRUE(expr(1, 1) < 0);
EXPECT_EQ(expr(1, 2), std::numeric_limits<double>::max());
xarray<double> exp = {
{0, 0, 123},
{0.5123, std::numeric_limits<double>::lowest(), std::numeric_limits<double>::max()}
};
xarray<double> assigned = exp;
EXPECT_EQ(assigned, exp);
}
TEST(xnanfunctions, nanmin)
{
EXPECT_EQ(nanmin(nantest::aN), amin(nantest::aI));
EXPECT_EQ(nanmin(nantest::aN, {0}), amin(nantest::aI, {0}));
EXPECT_EQ(nanmin(nantest::aN, {1}), amin(nantest::aI, {1}));
for (size_t i = 0; i < 3; ++i)
{
auto ret = nanmin(nantest::xN, {i});
auto reference = amin(nantest::xI, {i});
NAN_SENSITIVE_EQ(ret, reference, d_max)
}
}
TEST(xnanfunctions, nanmax)
{
EXPECT_EQ(nanmax(nantest::aN), amax(nantest::aA));
EXPECT_EQ(nanmax(nantest::aN, {0}), amax(nantest::aA, {0}));
EXPECT_EQ(nanmax(nantest::aN, {1}), amax(nantest::aA, {1}));
for (size_t i = 0; i < 3; ++i)
{
auto ret = nanmax(nantest::xN, {i});
auto reference = amax(nantest::xA, {i});
NAN_SENSITIVE_EQ(ret, reference, d_min)
}
}
TEST(xnanfunctions, nansum)
{
xarray<double> res = nansum(nantest::aN);
xarray<double> res0 = sum(nantest::aR);
EXPECT_EQ(res(0), 137);
EXPECT_EQ(nansum(nantest::aN, {0}), sum(nantest::aR, {0}));
EXPECT_EQ(nansum(nantest::aN, {1}), sum(nantest::aR, {1}));
EXPECT_EQ(nansum(nantest::xN, {0}), sum(nantest::xR, {0}));
EXPECT_EQ(nansum(nantest::xN, {1}), sum(nantest::xR, {1}));
EXPECT_EQ(nansum(nantest::xN, {2}), sum(nantest::xR, {2}));
}
TEST(xnanfunctions, nanprod)
{
xarray<double> res = nanprod(nantest::aN);
xarray<double> res0 = prod(nantest::aP);
EXPECT_EQ(res(0), 6642);
EXPECT_EQ(nanprod(nantest::aN, {0}), prod(nantest::aP, {0}));
EXPECT_EQ(nanprod(nantest::aN, {1}), prod(nantest::aP, {1}));
EXPECT_EQ(nanprod(nantest::xN, {0}), prod(nantest::xP, {0}));
EXPECT_EQ(nanprod(nantest::xN, {1}), prod(nantest::xP, {1}));
EXPECT_EQ(nanprod(nantest::xN, {2}), prod(nantest::xP, {2}));
}
TEST(xnanfunctions, nancumsum)
{
EXPECT_EQ(nancumsum(nantest::aN), cumsum(nantest::aR));
EXPECT_EQ(nancumsum(nantest::aN, 0), cumsum(nantest::aR, 0));
EXPECT_EQ(nancumsum(nantest::aN, 1), cumsum(nantest::aR, 1));
EXPECT_EQ(nancumsum(nantest::xN, 0), cumsum(nantest::xR, 0));
EXPECT_EQ(nancumsum(nantest::xN, 1), cumsum(nantest::xR, 1));
EXPECT_EQ(nancumsum(nantest::xN, 2), cumsum(nantest::xR, 2));
}
TEST(xnanfunctions, multid)
{
xarray<double> arr = xt::arange(3 * 4 * 2 * 8 * 7);
arr.reshape({3, 4, 2, 8, 7});
xarray<double> carr = arr;
strided_view(arr, {0, xt::ellipsis()}) = nanv;
strided_view(carr, {0, xt::ellipsis()}) = 0;
EXPECT_EQ(nancumsum(arr, 0), cumsum(carr, 0));
EXPECT_EQ(nancumsum(arr, 1), cumsum(carr, 1));
EXPECT_EQ(nancumsum(arr, 2), cumsum(carr, 2));
EXPECT_EQ(nancumsum(arr, 3), cumsum(carr, 3));
EXPECT_EQ(nancumsum(arr, 4), cumsum(carr, 4));
}
TEST(xnanfunctions, nancumprod)
{
EXPECT_EQ(nancumprod(nantest::aN), cumprod(nantest::aP));
EXPECT_EQ(nancumprod(nantest::aN, 0), cumprod(nantest::aP, 0));
EXPECT_EQ(nancumprod(nantest::aN, 1), cumprod(nantest::aP, 1));
EXPECT_EQ(nancumprod(nantest::xN, 0), cumprod(nantest::xP, 0));
EXPECT_EQ(nancumprod(nantest::xN, 1), cumprod(nantest::xP, 1));
EXPECT_EQ(nancumprod(nantest::xN, 2), cumprod(nantest::xP, 2));
}
TEST(xnanfunctions, nanmean)
{
auto as = nanmean(nantest::aN)();
auto ase = nanmean(nantest::aN, evaluation_strategy::immediate)();
EXPECT_DOUBLE_EQ(as, 17.125);
EXPECT_DOUBLE_EQ(ase, 17.125);
xarray<double> eaN0 = {1.0, 1.5, 123, 3};
xarray<double> eaN1 = {63.0, 2.0, 5.0 / 3.0};
EXPECT_TENSOR_EQ(nanmean(nantest::aN, {0}), eaN0);
EXPECT_TENSOR_EQ(nanmean(nantest::aN, {1}), eaN1);
std::array<std::size_t, 1> axis{0};
EXPECT_EQ(nanmean(nantest::aN, axis), eaN0);
EXPECT_TENSOR_EQ(nanmean(nantest::aN, {0}, evaluation_strategy::immediate), eaN0);
EXPECT_TENSOR_EQ(nanmean(nantest::aN, {1}, evaluation_strategy::immediate), eaN1);
auto cs = nanmean(nantest::cN)();
auto cse = nanmean(nantest::cN, evaluation_strategy::immediate)();
EXPECT_DOUBLE_EQ(cs, std::complex<double>(1.4, 0.6));
EXPECT_DOUBLE_EQ(cse, std::complex<double>(1.4, 0.6));
xarray<std::complex<double>> ecN0 = {1.0 + 0.0i, 1.0 + 0.5i, 3.0 + 2.0i};
xarray<std::complex<double>> ecN1 = {1.0 + 1.0i, (5.0 + 1.0i) / 3.0};
EXPECT_TENSOR_EQ(nanmean(nantest::cN, {0}), ecN0);
EXPECT_TENSOR_EQ(nanmean(nantest::cN, {1}), ecN1);
EXPECT_TENSOR_EQ(nanmean(nantest::cN, {0}, evaluation_strategy::immediate), ecN0);
EXPECT_TENSOR_EQ(nanmean(nantest::cN, {1}, evaluation_strategy::immediate), ecN1);
}
TEST(xnanfunctions, nanvar)
{
auto as = nanvar(nantest::aN)();
auto ase = nanvar(nantest::aN, evaluation_strategy::immediate)();
EXPECT_EQ(as, 1602.109375);
EXPECT_EQ(ase, 1602.109375);
xarray<double> eaN0 = {0.0, 0.25, 0.0, 0.0};
xarray<double> eaN1 = {3600.0, 2.0 / 3.0, 8.0 / 9.0};
EXPECT_EQ(nanvar(nantest::aN, {0}), eaN0);
EXPECT_TRUE(allclose(nanvar(nantest::aN, {1}), eaN1));
std::array<std::size_t, 1> axis{0};
EXPECT_EQ(nanvar(nantest::aN, axis), eaN0);
EXPECT_EQ(nanvar(nantest::aN, {0}, evaluation_strategy::immediate), eaN0);
EXPECT_TRUE(allclose(nanvar(nantest::aN, {1}, evaluation_strategy::immediate), eaN1));
}
using shape_type = dynamic_shape<size_t>;
/*******************
* type conversion *
*******************/
#define CHECK_RESULT_TYPE(EXPRESSION, EXPECTED_TYPE) \
{ \
using result_type = typename std::decay_t<decltype(EXPRESSION)>::value_type; \
EXPECT_TRUE((std::is_same<result_type, EXPECTED_TYPE>::value)); \
}
TEST(xnanfunctions, result_type)
{
shape_type shape = {4, 3, 2};
xarray<short> ashort(shape);
xarray<unsigned short> aushort(shape);
xarray<int> aint(shape);
xarray<unsigned int> auint(shape);
xarray<long long> along(shape);
xarray<unsigned long long> aulong(shape);
xarray<float> afloat(shape);
xarray<double> adouble(shape);
#define CHECK_RESULT_TYPE_FOR_ALL(INPUT, RESULT_TYPE, MINMAX_TYPE) \
CHECK_RESULT_TYPE(nansum(INPUT, {1, 2}), RESULT_TYPE); \
CHECK_RESULT_TYPE(nanmean(INPUT, {1, 2}), double); \
CHECK_RESULT_TYPE(nanvar(INPUT, {1, 2}), double); \
CHECK_RESULT_TYPE(nanstd(INPUT, {1, 2}), double); \
CHECK_RESULT_TYPE(nanmin(INPUT, {1, 2}), MINMAX_TYPE); \
CHECK_RESULT_TYPE(nanmax(INPUT, {1, 2}), MINMAX_TYPE);
#define CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(INPUT, TEMPLATE_TYPE, RESULT_TYPE, STD_TYPE, MINMAX_TYPE) \
CHECK_RESULT_TYPE(nansum<TEMPLATE_TYPE>(INPUT, {1, 2}), RESULT_TYPE) \
CHECK_RESULT_TYPE(nanmean<TEMPLATE_TYPE>(INPUT, {1, 2}), RESULT_TYPE) \
CHECK_RESULT_TYPE(nanvar<TEMPLATE_TYPE>(INPUT, {1, 2}), RESULT_TYPE) \
CHECK_RESULT_TYPE(nanstd<TEMPLATE_TYPE>(INPUT, {1, 2}), STD_TYPE) \
CHECK_RESULT_TYPE(nanmin<TEMPLATE_TYPE>(INPUT, {1, 2}), MINMAX_TYPE) \
CHECK_RESULT_TYPE(nanmax<TEMPLATE_TYPE>(INPUT, {1, 2}), MINMAX_TYPE)
/*********
* short *
*********/
CHECK_RESULT_TYPE_FOR_ALL(ashort, int, short);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(ashort, short, int, double, short);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(ashort, int, int, double, int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(ashort, double, double, double, double);
/******************
* unsigned short *
******************/
CHECK_RESULT_TYPE_FOR_ALL(aushort, int, unsigned short);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aushort, unsigned short, int, double, unsigned short);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aushort, int, int, double, int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aushort, double, double, double, double);
/*********
* int *
*********/
CHECK_RESULT_TYPE_FOR_ALL(aint, int, int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aint, unsigned short, int, double, int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aint, int, int, double, int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aint, double, double, double, double);
/****************
* unsigned int *
****************/
CHECK_RESULT_TYPE_FOR_ALL(auint, unsigned int, unsigned int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(auint, unsigned int, unsigned int, double, unsigned int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(auint, unsigned int, unsigned int, double, unsigned int);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(auint, double, double, double, double);
/**********************
* long long *
**********************/
#ifndef SKIP_ON_WERROR
// intermediate computation done in double may imply precision loss
CHECK_RESULT_TYPE_FOR_ALL(along, signed long long, signed long long);
#endif
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(along, int, signed long long, double, signed long long);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(along, long, signed long long, double, signed long long);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(along, signed long long, signed long long, double, signed long long);
/**********************
* unsigned long long *
**********************/
#ifndef SKIP_ON_WERROR
// intermediate computation done in double may imply precision loss
CHECK_RESULT_TYPE_FOR_ALL(aulong, unsigned long long, unsigned long long);
#endif
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aulong, unsigned int, unsigned long long, double, unsigned long long);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(aulong, unsigned long, unsigned long long, double, unsigned long long);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(
aulong,
unsigned long long,
unsigned long long,
double,
unsigned long long
);
/*********
* float *
*********/
CHECK_RESULT_TYPE_FOR_ALL(afloat, float, float);
#ifndef SKIP_ON_WERROR
// final conversion to int may imply conversion loss
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(afloat, int, float, float, float);
#endif
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(afloat, float, float, float, float);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(afloat, double, double, double, double);
/**********
* double *
**********/
CHECK_RESULT_TYPE_FOR_ALL(adouble, double, double);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(adouble, float, double, double, double);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(adouble, double, double, double, double);
CHECK_TEMPLATED_RESULT_TYPE_FOR_ALL(adouble, long double, long double, long double, long double);
}
}
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