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TestMathematicalFunctions.hpp
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TestMathematicalFunctions.hpp
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//@HEADER
// ************************************************************************
//
// Kokkos v. 4.0
// Copyright (2022) National Technology & Engineering
// Solutions of Sandia, LLC (NTESS).
//
// Under the terms of Contract DE-NA0003525 with NTESS,
// the U.S. Government retains certain rights in this software.
//
// Part of Kokkos, under the Apache License v2.0 with LLVM Exceptions.
// See https://kokkos.org/LICENSE for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//@HEADER
#include <gtest/gtest.h>
#include <Kokkos_Core.hpp>
#include <algorithm>
#include <initializer_list>
#include <type_traits>
#include <cfloat>
#if defined(KOKKOS_ENABLE_CUDA) || defined(KOKKOS_ENABLE_HIP) || \
defined(KOKKOS_ENABLE_SYCL) || defined(KOKKOS_ENABLE_OPENMPTARGET) || \
defined(KOKKOS_ENABLE_OPENACC)
#else
#define MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
#endif
#if defined KOKKOS_COMPILER_INTEL || \
(defined(KOKKOS_COMPILER_NVCC) && KOKKOS_COMPILER_NVCC >= 1130 && \
!defined(KOKKOS_COMPILER_MSVC))
#define MATHEMATICAL_FUNCTIONS_TEST_UNREACHABLE __builtin_unreachable();
#else
#define MATHEMATICAL_FUNCTIONS_TEST_UNREACHABLE
#endif
namespace KE = Kokkos::Experimental;
// clang-format off
template <class>
struct math_unary_function_return_type;
// Floating-point types
#if defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
template <> struct math_unary_function_return_type<KE::half_t> { using type = KE::half_t; };
#endif // defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
#if defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
template <> struct math_unary_function_return_type<KE::bhalf_t> { using type = KE::bhalf_t; };
#endif // defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
template <> struct math_unary_function_return_type< float> { using type = float; };
template <> struct math_unary_function_return_type< double> { using type = double; };
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
template <> struct math_unary_function_return_type<long double> { using type = long double; };
#endif
// Integral types
template <> struct math_unary_function_return_type< bool> { using type = double; };
template <> struct math_unary_function_return_type< short> { using type = double; };
template <> struct math_unary_function_return_type< unsigned short> { using type = double; };
template <> struct math_unary_function_return_type< int> { using type = double; };
template <> struct math_unary_function_return_type< unsigned int> { using type = double; };
template <> struct math_unary_function_return_type< long> { using type = double; };
template <> struct math_unary_function_return_type< unsigned long> { using type = double; };
template <> struct math_unary_function_return_type< long long> { using type = double; };
template <> struct math_unary_function_return_type<unsigned long long> { using type = double; };
template <class T>
using math_unary_function_return_type_t = typename math_unary_function_return_type<T>::type;
template <class, class>
struct math_binary_function_return_type;
#if defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
template <> struct math_binary_function_return_type<KE::half_t, KE::half_t> { using type = KE::half_t; };
template <> struct math_binary_function_return_type<short, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned short, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<int, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned int, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<long, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<long long, KE::half_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, KE::half_t> { using type = double; };
#endif // defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
#if defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
template <> struct math_binary_function_return_type<KE::bhalf_t, KE::bhalf_t> { using type = KE::bhalf_t; };
template <> struct math_binary_function_return_type<KE::half_t, KE::bhalf_t> { using type = KE::half_t; };
template <> struct math_binary_function_return_type<short, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned short, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<int, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned int, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<long, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<long long, KE::bhalf_t> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, KE::bhalf_t> { using type = double; };
#endif // defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
template <> struct math_binary_function_return_type< float, float> { using type = float; };
template <> struct math_binary_function_return_type< float, double> { using type = double; };
template <> struct math_binary_function_return_type< float, bool> { using type = double; };
template <> struct math_binary_function_return_type< float, short> { using type = double; };
template <> struct math_binary_function_return_type< float, int> { using type = double; };
template <> struct math_binary_function_return_type< float, long> { using type = double; };
template <> struct math_binary_function_return_type< float, long long> { using type = double; };
template <> struct math_binary_function_return_type< float, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< float, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< float, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< float, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< double, float> { using type = double; };
template <> struct math_binary_function_return_type< double, double> { using type = double; };
template <> struct math_binary_function_return_type< double, bool> { using type = double; };
template <> struct math_binary_function_return_type< double, short> { using type = double; };
template <> struct math_binary_function_return_type< double, int> { using type = double; };
template <> struct math_binary_function_return_type< double, long> { using type = double; };
template <> struct math_binary_function_return_type< double, long long> { using type = double; };
template <> struct math_binary_function_return_type< double, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< double, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< double, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< double, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< short, float> { using type = double; };
template <> struct math_binary_function_return_type< short, double> { using type = double; };
template <> struct math_binary_function_return_type< short, bool> { using type = double; };
template <> struct math_binary_function_return_type< short, short> { using type = double; };
template <> struct math_binary_function_return_type< short, int> { using type = double; };
template <> struct math_binary_function_return_type< short, long> { using type = double; };
template <> struct math_binary_function_return_type< short, long long> { using type = double; };
template <> struct math_binary_function_return_type< short, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< short, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< short, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< short, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< int, float> { using type = double; };
template <> struct math_binary_function_return_type< int, double> { using type = double; };
template <> struct math_binary_function_return_type< int, bool> { using type = double; };
template <> struct math_binary_function_return_type< int, short> { using type = double; };
template <> struct math_binary_function_return_type< int, int> { using type = double; };
template <> struct math_binary_function_return_type< int, long> { using type = double; };
template <> struct math_binary_function_return_type< int, long long> { using type = double; };
template <> struct math_binary_function_return_type< int, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< int, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< int, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< int, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< long, float> { using type = double; };
template <> struct math_binary_function_return_type< long, double> { using type = double; };
template <> struct math_binary_function_return_type< long, bool> { using type = double; };
template <> struct math_binary_function_return_type< long, short> { using type = double; };
template <> struct math_binary_function_return_type< long, int> { using type = double; };
template <> struct math_binary_function_return_type< long, long> { using type = double; };
template <> struct math_binary_function_return_type< long, long long> { using type = double; };
template <> struct math_binary_function_return_type< long, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< long, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< long, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< long, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< long long, float> { using type = double; };
template <> struct math_binary_function_return_type< long long, double> { using type = double; };
template <> struct math_binary_function_return_type< long long, bool> { using type = double; };
template <> struct math_binary_function_return_type< long long, short> { using type = double; };
template <> struct math_binary_function_return_type< long long, int> { using type = double; };
template <> struct math_binary_function_return_type< long long, long> { using type = double; };
template <> struct math_binary_function_return_type< long long, long long> { using type = double; };
template <> struct math_binary_function_return_type< long long, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< long long, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< long long, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< long long, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, float> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, double> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, bool> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned short, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, float> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, double> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, bool> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned int, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, float> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, double> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, bool> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, long long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type< unsigned long, unsigned long long> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, float> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, double> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, bool> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, short> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, int> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, long> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, long long> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, unsigned short> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, unsigned int> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, unsigned long> { using type = double; };
template <> struct math_binary_function_return_type<unsigned long long, unsigned long long> { using type = double; };
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
template <> struct math_binary_function_return_type< float, long double> { using type = long double; };
template <> struct math_binary_function_return_type< double, long double> { using type = long double; };
template <> struct math_binary_function_return_type< long double, float> { using type = long double; };
template <> struct math_binary_function_return_type< long double, double> { using type = long double; };
template <> struct math_binary_function_return_type< long double, long double> { using type = long double; };
template <> struct math_binary_function_return_type< long double, bool> { using type = long double; };
template <> struct math_binary_function_return_type< long double, short> { using type = long double; };
template <> struct math_binary_function_return_type< long double, int> { using type = long double; };
template <> struct math_binary_function_return_type< long double, long> { using type = long double; };
template <> struct math_binary_function_return_type< long double, long long> { using type = long double; };
template <> struct math_binary_function_return_type< long double, unsigned short> { using type = long double; };
template <> struct math_binary_function_return_type< long double, unsigned int> { using type = long double; };
template <> struct math_binary_function_return_type< long double, unsigned long> { using type = long double; };
template <> struct math_binary_function_return_type< long double, unsigned long long> { using type = long double; };
template <> struct math_binary_function_return_type< short, long double> { using type = long double; };
template <> struct math_binary_function_return_type< int, long double> { using type = long double; };
template <> struct math_binary_function_return_type< long, long double> { using type = long double; };
template <> struct math_binary_function_return_type< long long, long double> { using type = long double; };
template <> struct math_binary_function_return_type< unsigned short, long double> { using type = long double; };
template <> struct math_binary_function_return_type< unsigned int, long double> { using type = long double; };
template <> struct math_binary_function_return_type< unsigned long, long double> { using type = long double; };
template <> struct math_binary_function_return_type<unsigned long long, long double> { using type = long double; };
#endif
template <class T, class U>
using math_binary_function_return_type_t = typename math_binary_function_return_type<T, U>::type;
// clang-format on
template <class T, class U, class V>
using math_ternary_function_return_type_t = math_binary_function_return_type_t<
T, math_binary_function_return_type_t<U, V>>;
struct FloatingPointComparison {
private:
template <class T>
KOKKOS_FUNCTION double eps(T) const {
return DBL_EPSILON;
}
#if defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
KOKKOS_FUNCTION
KE::half_t eps(KE::half_t) const {
// FIXME_NVHPC compile-time error
#ifdef KOKKOS_COMPILER_NVHPC
return 0.0009765625F;
#else
return KE::epsilon<KE::half_t>::value;
#endif
}
#endif
#if defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
KOKKOS_FUNCTION
KE::bhalf_t eps(KE::bhalf_t) const {
// FIXME_NVHPC compile-time error
#ifdef KOKKOS_COMPILER_NVHPC
return 0.0078125;
#else
return KE::epsilon<KE::bhalf_t>::value;
#endif
}
#endif
KOKKOS_FUNCTION
double eps(float) const { return FLT_EPSILON; }
// POWER9 gives unexpected values with LDBL_EPSILON issues
// https://stackoverflow.com/questions/68960416/ppc64-long-doubles-machine-epsilon-calculation
#if defined(KOKKOS_ARCH_POWER9) || defined(KOKKOS_ARCH_POWER8)
KOKKOS_FUNCTION
double eps(long double) const { return DBL_EPSILON; }
#else
KOKKOS_FUNCTION
double eps(long double) const { return LDBL_EPSILON; }
#endif
// Using absolute here instead of abs, since we actually test abs ...
template <class T>
KOKKOS_FUNCTION std::enable_if_t<std::is_signed<T>::value, T> absolute(
T val) const {
return val < T(0) ? -val : val;
}
template <class T>
KOKKOS_FUNCTION std::enable_if_t<!std::is_signed<T>::value, T> absolute(
T val) const {
return val;
}
public:
template <class FPT>
KOKKOS_FUNCTION bool compare_near_zero(FPT const& fpv, double ulp) const {
auto abs_tol = eps(fpv) * ulp;
bool ar = absolute(fpv) < abs_tol;
if (!ar) {
Kokkos::printf("absolute value exceeds tolerance [|%e| > %e]\n",
(double)fpv, abs_tol);
}
return ar;
}
template <class Lhs, class Rhs>
KOKKOS_FUNCTION bool compare(Lhs const& lhs, Rhs const& rhs,
double ulp) const {
if (lhs == 0) {
return compare_near_zero(rhs, ulp);
} else if (rhs == 0) {
return compare_near_zero(lhs, ulp);
} else {
auto rel_tol = (eps(lhs) < eps(rhs) ? eps(lhs) : eps(rhs)) * ulp;
double abs_diff = static_cast<double>(rhs > lhs ? rhs - lhs : lhs - rhs);
double min_denom = static_cast<double>(
absolute(rhs) < absolute(lhs) ? absolute(rhs) : absolute(lhs));
double rel_diff = abs_diff / min_denom;
bool ar = abs_diff == 0 || rel_diff < rel_tol;
if (!ar) {
Kokkos::printf("relative difference exceeds tolerance [%e > %e]\n",
(double)rel_diff, rel_tol);
}
return ar;
}
}
};
template <class>
struct math_function_name;
#define DEFINE_UNARY_FUNCTION_EVAL(FUNC, ULP_FACTOR) \
struct MathUnaryFunction_##FUNC { \
template <typename T> \
static KOKKOS_FUNCTION auto eval(T x) { \
static_assert( \
std::is_same<decltype(Kokkos::FUNC((T)0)), \
math_unary_function_return_type_t<T>>::value); \
return Kokkos::FUNC(x); \
} \
template <typename T> \
static auto eval_std(T x) { \
if constexpr (std::is_same<T, KE::half_t>::value || \
std::is_same<T, KE::bhalf_t>::value) { \
return std::FUNC(static_cast<float>(x)); \
} else { \
static_assert( \
std::is_same<decltype(std::FUNC((T)0)), \
math_unary_function_return_type_t<T>>::value); \
return std::FUNC(x); \
} \
MATHEMATICAL_FUNCTIONS_TEST_UNREACHABLE \
} \
static KOKKOS_FUNCTION double ulp_factor() { return ULP_FACTOR; } \
}; \
using kk_##FUNC = MathUnaryFunction_##FUNC; \
template <> \
struct math_function_name<MathUnaryFunction_##FUNC> { \
static constexpr char name[] = #FUNC; \
}; \
constexpr char math_function_name<MathUnaryFunction_##FUNC>::name[]
#define DEFINE_UNARY_FUNCTION_EVAL_CUSTOM(FUNC, ULP_FACTOR, REF_FUNC) \
struct MathUnaryFunction_##FUNC { \
template <typename T> \
static KOKKOS_FUNCTION auto eval(T x) { \
static_assert( \
std::is_same<decltype(Kokkos::FUNC((T)0)), \
math_unary_function_return_type_t<T>>::value); \
return Kokkos::FUNC(x); \
} \
template <typename T> \
static auto eval_std(T x) { \
static_assert( \
std::is_same<decltype(REF_FUNC), \
math_unary_function_return_type_t<T>>::value); \
return REF_FUNC; \
} \
static KOKKOS_FUNCTION double ulp_factor() { return ULP_FACTOR; } \
}; \
using kk_##FUNC = MathUnaryFunction_##FUNC; \
template <> \
struct math_function_name<MathUnaryFunction_##FUNC> { \
static constexpr char name[] = #FUNC; \
}; \
constexpr char math_function_name<MathUnaryFunction_##FUNC>::name[]
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_3
// Generally the expected ULP error should come from here:
// https://www.gnu.org/software/libc/manual/html_node/Errors-in-Math-Functions.html
// For now 1s largely seem to work ...
DEFINE_UNARY_FUNCTION_EVAL(exp, 2);
DEFINE_UNARY_FUNCTION_EVAL(exp2, 2);
DEFINE_UNARY_FUNCTION_EVAL(expm1, 2);
DEFINE_UNARY_FUNCTION_EVAL(log, 2);
DEFINE_UNARY_FUNCTION_EVAL(log10, 2);
DEFINE_UNARY_FUNCTION_EVAL(log2, 2);
DEFINE_UNARY_FUNCTION_EVAL(log1p, 2);
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_2
DEFINE_UNARY_FUNCTION_EVAL(sqrt, 2);
DEFINE_UNARY_FUNCTION_EVAL(cbrt, 2);
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_1
DEFINE_UNARY_FUNCTION_EVAL(sin, 2);
DEFINE_UNARY_FUNCTION_EVAL(cos, 2);
DEFINE_UNARY_FUNCTION_EVAL(tan, 2);
DEFINE_UNARY_FUNCTION_EVAL(asin, 2);
DEFINE_UNARY_FUNCTION_EVAL(acos, 2);
DEFINE_UNARY_FUNCTION_EVAL(atan, 2);
DEFINE_UNARY_FUNCTION_EVAL(sinh, 2);
DEFINE_UNARY_FUNCTION_EVAL(cosh, 2);
DEFINE_UNARY_FUNCTION_EVAL(tanh, 2);
DEFINE_UNARY_FUNCTION_EVAL(asinh, 4);
DEFINE_UNARY_FUNCTION_EVAL(acosh, 2);
DEFINE_UNARY_FUNCTION_EVAL(atanh, 2);
// non-standard math functions
DEFINE_UNARY_FUNCTION_EVAL_CUSTOM(rsqrt, 2,
decltype(std::sqrt(x))(1) / std::sqrt(x));
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_2
#if defined(__APPLE__)
// Apple's standard library implementation seems to have a poor implementation
DEFINE_UNARY_FUNCTION_EVAL(erf, 5);
#else
DEFINE_UNARY_FUNCTION_EVAL(erf, 2);
#endif
DEFINE_UNARY_FUNCTION_EVAL(erfc, 5);
// has a larger error due to some impls doing integer exact.
// We cast always to double leading to larger difference when comparing our
// tgamma to std::tgamma on the host.
DEFINE_UNARY_FUNCTION_EVAL(tgamma, 200);
DEFINE_UNARY_FUNCTION_EVAL(lgamma, 2);
DEFINE_UNARY_FUNCTION_EVAL(ceil, 2);
DEFINE_UNARY_FUNCTION_EVAL(floor, 2);
DEFINE_UNARY_FUNCTION_EVAL(trunc, 2);
DEFINE_UNARY_FUNCTION_EVAL(round, 1);
#ifndef KOKKOS_ENABLE_SYCL
DEFINE_UNARY_FUNCTION_EVAL(nearbyint, 2);
#endif
DEFINE_UNARY_FUNCTION_EVAL(logb, 2);
#endif
#undef DEFINE_UNARY_FUNCTION_EVAL
#define DEFINE_BINARY_FUNCTION_EVAL(FUNC, ULP_FACTOR) \
struct MathBinaryFunction_##FUNC { \
template <typename T, typename U> \
static KOKKOS_FUNCTION auto eval(T x, U y) { \
static_assert( \
std::is_same<decltype(Kokkos::FUNC((T)0, (U)0)), \
math_binary_function_return_type_t<T, U>>::value); \
return Kokkos::FUNC(x, y); \
} \
template <typename T, typename U> \
static auto eval_std(T x, U y) { \
constexpr bool const x_is_half = \
(KE::Impl::is_float16<T>::value || KE::Impl::is_bfloat16<T>::value); \
constexpr bool const y_is_half = \
(KE::Impl::is_float16<U>::value || KE::Impl::is_bfloat16<U>::value); \
if constexpr (x_is_half && y_is_half) \
return std::FUNC(static_cast<float>(x), static_cast<float>(y)); \
else if constexpr (x_is_half) \
return std::FUNC(static_cast<float>(x), y); \
else if constexpr (y_is_half) \
return std::FUNC(x, static_cast<float>(y)); \
else { \
static_assert( \
std::is_same<decltype(std::FUNC((T)0, (U)0)), \
math_binary_function_return_type_t<T, U>>::value); \
return std::FUNC(x, y); \
} \
MATHEMATICAL_FUNCTIONS_TEST_UNREACHABLE \
} \
static KOKKOS_FUNCTION double ulp_factor() { return ULP_FACTOR; } \
}; \
using kk_##FUNC = MathBinaryFunction_##FUNC; \
template <> \
struct math_function_name<MathBinaryFunction_##FUNC> { \
static constexpr char name[] = #FUNC; \
}; \
constexpr char math_function_name<MathBinaryFunction_##FUNC>::name[]
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_2
DEFINE_BINARY_FUNCTION_EVAL(pow, 2);
DEFINE_BINARY_FUNCTION_EVAL(hypot, 2);
DEFINE_BINARY_FUNCTION_EVAL(nextafter, 1);
DEFINE_BINARY_FUNCTION_EVAL(copysign, 1);
#endif
#undef DEFINE_BINARY_FUNCTION_EVAL
#define DEFINE_TERNARY_FUNCTION_EVAL(FUNC, ULP_FACTOR) \
struct MathTernaryFunction_##FUNC { \
template <typename T, typename U, typename V> \
static KOKKOS_FUNCTION auto eval(T x, U y, V z) { \
static_assert( \
std::is_same<decltype(Kokkos::FUNC((T)0, (U)0, (V)0)), \
math_ternary_function_return_type_t<T, U, V>>::value); \
return Kokkos::FUNC(x, y, z); \
} \
template <typename T, typename U, typename V> \
static auto eval_std(T x, U y, V z) { \
static_assert( \
std::is_same<decltype(std::FUNC((T)0, (U)0, (V)0)), \
math_ternary_function_return_type_t<T, U, V>>::value); \
return std::FUNC(x, y, z); \
} \
static KOKKOS_FUNCTION double ulp_factor() { return ULP_FACTOR; } \
}; \
using kk3_##FUNC = MathTernaryFunction_##FUNC; \
template <> \
struct math_function_name<MathTernaryFunction_##FUNC> { \
static constexpr char name[] = #FUNC; \
}; \
constexpr char math_function_name<MathTernaryFunction_##FUNC>::name[]
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_2
DEFINE_TERNARY_FUNCTION_EVAL(hypot, 2);
DEFINE_TERNARY_FUNCTION_EVAL(fma, 2);
#endif
#undef DEFINE_TERNARY_FUNCTION_EVAL
// clang-format off
template <class>
struct type_helper;
#define DEFINE_TYPE_NAME(T) \
template <> struct type_helper<T> { static char const * name() { return #T; } };
DEFINE_TYPE_NAME(bool)
DEFINE_TYPE_NAME(int)
DEFINE_TYPE_NAME(long)
DEFINE_TYPE_NAME(long long)
DEFINE_TYPE_NAME(unsigned int)
DEFINE_TYPE_NAME(unsigned long)
DEFINE_TYPE_NAME(unsigned long long)
#if defined(KOKKOS_HALF_T_IS_FLOAT) && !KOKKOS_HALF_T_IS_FLOAT
DEFINE_TYPE_NAME(KE::half_t)
#endif
#if defined(KOKKOS_BHALF_T_IS_FLOAT) && !KOKKOS_BHALF_T_IS_FLOAT
DEFINE_TYPE_NAME(KE::bhalf_t)
#endif
DEFINE_TYPE_NAME(float)
DEFINE_TYPE_NAME(double)
DEFINE_TYPE_NAME(long double)
#undef DEFINE_TYPE_NAME
// clang-format on
template <class Space, class Func, class Arg, std::size_t N,
class Ret = math_unary_function_return_type_t<Arg>>
struct TestMathUnaryFunction : FloatingPointComparison {
Arg val_[N];
Ret res_[N];
TestMathUnaryFunction(const Arg (&val)[N]) {
std::copy(val, val + N, val_);
std::transform(val, val + N, res_,
[](auto x) { return Func::eval_std(x); });
run();
}
void run() {
int errors = 0;
Kokkos::parallel_reduce(Kokkos::RangePolicy<Space>(0, N), *this, errors);
ASSERT_EQ(errors, 0) << "Failed check no error for "
<< math_function_name<Func>::name << "("
<< type_helper<Arg>::name() << ")";
}
KOKKOS_FUNCTION void operator()(int i, int& e) const {
bool ar = compare(Func::eval(val_[i]), res_[i], Func::ulp_factor());
if (!ar) {
++e;
Kokkos::printf("value at %f which is %f was expected to be %f\n",
(double)val_[i], (double)Func::eval(val_[i]),
(double)res_[i]);
}
}
};
template <class Space, class... Func, class Arg, std::size_t N>
void do_test_math_unary_function(const Arg (&x)[N]) {
(void)std::initializer_list<int>{
(TestMathUnaryFunction<Space, Func, Arg, N>(x), 0)...};
// test if potentially device specific math functions also work on host
if constexpr (!std::is_same_v<Space, Kokkos::DefaultHostExecutionSpace>)
(void)std::initializer_list<int>{
(TestMathUnaryFunction<Kokkos::DefaultHostExecutionSpace, Func, Arg, N>(
x),
0)...};
}
#define TEST_MATH_FUNCTION(FUNC) \
do_test_math_unary_function<TEST_EXECSPACE, MathUnaryFunction_##FUNC>
template <class Half, class Space, class... Func, class Arg, std::size_t N>
void do_test_half_math_unary_function(const Arg (&x)[N]) {
Half y[N];
std::copy(x, x + N, y); // cast to array of half type
(void)std::initializer_list<int>{
(TestMathUnaryFunction<Space, Func, Half, N>(y), 0)...};
// test if potentially device specific math functions also work on host
if constexpr (!std::is_same_v<Space, Kokkos::DefaultHostExecutionSpace>)
(void)std::initializer_list<int>{(
TestMathUnaryFunction<Kokkos::DefaultHostExecutionSpace, Func, Half, N>(
y),
0)...};
}
#define TEST_HALF_MATH_FUNCTION(FUNC, T) \
do_test_half_math_unary_function<T, TEST_EXECSPACE, MathUnaryFunction_##FUNC>
template <class Space, class Func, class Arg1, class Arg2,
class Ret = math_binary_function_return_type_t<Arg1, Arg2>>
struct TestMathBinaryFunction : FloatingPointComparison {
Arg1 val1_;
Arg2 val2_;
Ret res_;
TestMathBinaryFunction(Arg1 val1, Arg2 val2)
: val1_(val1), val2_(val2), res_(Func::eval_std(val1, val2)) {
run();
}
void run() {
int errors = 0;
Kokkos::parallel_reduce(Kokkos::RangePolicy<Space>(0, 1), *this, errors);
ASSERT_EQ(errors, 0) << "Failed check no error for "
<< math_function_name<Func>::name << "("
<< type_helper<Arg1>::name() << ", "
<< type_helper<Arg2>::name() << ")";
}
KOKKOS_FUNCTION void operator()(int, int& e) const {
bool ar = compare(Func::eval(val1_, val2_), res_, Func::ulp_factor());
if (!ar) {
++e;
Kokkos::printf("value at %f, %f which is %f was expected to be %f\n",
(double)val1_, (double)val2_,
(double)Func::eval(val1_, val2_), (double)res_);
}
}
};
template <class Space, class... Func, class Arg1, class Arg2>
void do_test_math_binary_function(Arg1 arg1, Arg2 arg2) {
(void)std::initializer_list<int>{
(TestMathBinaryFunction<Space, Func, Arg1, Arg2>(arg1, arg2), 0)...};
}
template <class Space, class Func, class Arg1, class Arg2, class Arg3,
class Ret = math_ternary_function_return_type_t<Arg1, Arg2, Arg3>>
struct TestMathTernaryFunction : FloatingPointComparison {
Arg1 val1_;
Arg2 val2_;
Arg3 val3_;
Ret res_;
TestMathTernaryFunction(Arg1 val1, Arg2 val2, Arg3 val3)
: val1_(val1),
val2_(val2),
val3_(val3),
res_(Func::eval_std(val1, val2, val3)) {
run();
}
void run() {
int errors = 0;
Kokkos::parallel_reduce(Kokkos::RangePolicy<Space>(0, 1), *this, errors);
ASSERT_EQ(errors, 0) << "Failed check no error for "
<< math_function_name<Func>::name << "("
<< type_helper<Arg1>::name() << ", "
<< type_helper<Arg1>::name() << ", "
<< type_helper<Arg3>::name() << ")";
}
KOKKOS_FUNCTION void operator()(int, int& e) const {
bool ar =
compare(Func::eval(val1_, val2_, val3_), res_, Func::ulp_factor());
if (!ar) {
++e;
Kokkos::printf("value at %f, %f, %f which is %f was expected to be %f\n",
(double)val1_, (double)val2_, (double)val3_,
(double)Func::eval(val1_, val2_, val3_), (double)res_);
}
}
};
template <class Space, class... Func, class Arg1, class Arg2, class Arg3>
void do_test_math_ternary_function(Arg1 arg1, Arg2 arg2, Arg3 arg3) {
(void)std::initializer_list<int>{
(TestMathTernaryFunction<Space, Func, Arg1, Arg2, Arg3>(arg1, arg2, arg3),
0)...};
}
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_1
TEST(TEST_CATEGORY, mathematical_functions_trigonometric_functions) {
TEST_MATH_FUNCTION(sin)({true, false});
TEST_MATH_FUNCTION(sin)({-3, -2, -1, 0, 1});
TEST_MATH_FUNCTION(sin)({-3l, -2l, -1l, 0l, 1l});
TEST_MATH_FUNCTION(sin)({-3ll, -2ll, -1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(sin)({2u, 3u, 4u, 5u, 6u});
TEST_MATH_FUNCTION(sin)({2ul, 3ul, 4ul, 5ul, 6ul});
TEST_MATH_FUNCTION(sin)({2ull, 3ull, 4ull, 5ull, 6ull});
TEST_HALF_MATH_FUNCTION(sin, KE::half_t)({.1f, .2f, .3f});
TEST_HALF_MATH_FUNCTION(sin, KE::bhalf_t)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(sin)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(sin)({.4, .5, .6});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(sin)({.7l, .8l, .9l});
#endif
TEST_MATH_FUNCTION(cos)({true, false});
TEST_MATH_FUNCTION(cos)({-3, -2, -1, 0, 1});
TEST_MATH_FUNCTION(cos)({-3l, -2l, -1l, 0l, 1l});
TEST_MATH_FUNCTION(cos)({-3ll, -2ll, -1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(cos)({2u, 3u, 4u, 5u, 6u});
TEST_MATH_FUNCTION(cos)({2ul, 3ul, 4ul, 5ul, 6ul});
TEST_MATH_FUNCTION(cos)({2ull, 3ull, 4ull, 5ull, 6ull});
TEST_HALF_MATH_FUNCTION(cos, KE::half_t)({.1f, .2f, .3f});
TEST_HALF_MATH_FUNCTION(cos, KE::bhalf_t)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(cos)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(cos)({.4, .5, .6});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(cos)({.7l, .8l, .9l});
#endif
TEST_MATH_FUNCTION(tan)({true, false});
TEST_MATH_FUNCTION(tan)({-3, -2, -1, 0, 1});
TEST_MATH_FUNCTION(tan)({-3l, -2l, -1l, 0l, 1l});
TEST_MATH_FUNCTION(tan)({-3ll, -2ll, -1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(tan)({2u, 3u, 4u, 5u, 6u});
TEST_MATH_FUNCTION(tan)({2ul, 3ul, 4ul, 5ul, 6ul});
TEST_MATH_FUNCTION(tan)({2ull, 3ull, 4ull, 5ull, 6ull});
TEST_HALF_MATH_FUNCTION(tan, KE::half_t)({.1f, .2f, .3f});
TEST_HALF_MATH_FUNCTION(tan, KE::bhalf_t)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(tan)({.1f, .2f, .3f});
TEST_MATH_FUNCTION(tan)({.4, .5, .6});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(tan)({.7l, .8l, .9l});
#endif
TEST_MATH_FUNCTION(asin)({true, false});
TEST_MATH_FUNCTION(asin)({-1, 0, 1});
TEST_MATH_FUNCTION(asin)({-1l, 0l, 1l});
TEST_MATH_FUNCTION(asin)({-1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(asin)({0u, 1u});
TEST_MATH_FUNCTION(asin)({0ul, 1ul});
TEST_MATH_FUNCTION(asin)({0ull, 1ull});
TEST_HALF_MATH_FUNCTION(asin, KE::half_t)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_HALF_MATH_FUNCTION(asin, KE::bhalf_t)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_MATH_FUNCTION(asin)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_MATH_FUNCTION(asin)({-.5, .4, -.3, .2, -.1, 0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(asin)({-.5l, .3l, 0.l, .2l, .4l, .6l});
#endif
TEST_MATH_FUNCTION(acos)({true, false});
TEST_MATH_FUNCTION(acos)({-1, 0, 1});
TEST_MATH_FUNCTION(acos)({-1l, 0l, 1l});
TEST_MATH_FUNCTION(acos)({-1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(acos)({0u, 1u});
TEST_MATH_FUNCTION(acos)({0ul, 1ul});
TEST_MATH_FUNCTION(acos)({0ull, 1ull});
TEST_HALF_MATH_FUNCTION(acos, KE::half_t)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_HALF_MATH_FUNCTION(acos, KE::bhalf_t)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_MATH_FUNCTION(acos)({-1.f, .9f, -.8f, .7f, -.6f});
TEST_MATH_FUNCTION(acos)({-.5, .4, -.3, .2, -.1, 0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(acos)({-.5l, .3l, 0.l, .2l, .4l, .6l});
#endif
TEST_MATH_FUNCTION(atan)({true, false});
TEST_MATH_FUNCTION(atan)({-1, 0, 1});
TEST_MATH_FUNCTION(atan)({-1l, 0l, 1l});
TEST_MATH_FUNCTION(atan)({-1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(atan)({0u, 1u});
TEST_MATH_FUNCTION(atan)({0ul, 1ul});
TEST_MATH_FUNCTION(atan)({0ull, 1ull});
TEST_HALF_MATH_FUNCTION(atan, KE::half_t)
({-1.5f, 1.3f, -1.1f, .9f, -.7f, .5f});
TEST_HALF_MATH_FUNCTION(atan, KE::bhalf_t)
({-1.5f, 1.3f, -1.1f, .9f, -.7f, .5f});
TEST_MATH_FUNCTION(atan)({-1.5f, 1.3f, -1.1f, .9f, -.7f, .5f});
TEST_MATH_FUNCTION(atan)({1.4, -1.2, 1., -.8, .6, -.4, .2, -0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(atan)({-.98l, .67l, -54.l, .34l, -.21l});
#endif
// TODO atan2
}
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_2
TEST(TEST_CATEGORY, mathematical_functions_power_functions) {
TEST_MATH_FUNCTION(sqrt)({0, 1, 2, 3, 5, 7, 11});
TEST_MATH_FUNCTION(sqrt)({0l, 1l, 2l, 3l, 5l, 7l, 11l});
TEST_MATH_FUNCTION(sqrt)({0ll, 1ll, 2ll, 3ll, 5ll, 7ll, 11ll});
TEST_MATH_FUNCTION(sqrt)({0u, 1u, 2u, 3u, 5u, 7u});
TEST_MATH_FUNCTION(sqrt)({0ul, 1ul, 2ul, 3ul, 5ul, 7ul});
TEST_MATH_FUNCTION(sqrt)({0ull, 1ull, 2ull, 3ull, 5ull, 7ull});
TEST_HALF_MATH_FUNCTION(sqrt, KE::half_t)({10.f, 20.f, 30.f, 40.f});
TEST_HALF_MATH_FUNCTION(sqrt, KE::bhalf_t)({10.f, 20.f, 30.f, 40.f});
TEST_MATH_FUNCTION(sqrt)({10.f, 20.f, 30.f, 40.f});
TEST_MATH_FUNCTION(sqrt)({11.1, 22.2, 33.3, 44.4});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(sqrt)({10.l, 20.l, 30.l, 40.l});
#endif
TEST_MATH_FUNCTION(cbrt)({-5, -3, -1, 2, 4, 6});
TEST_MATH_FUNCTION(cbrt)({-5l, -3l, -1l, 2l, 4l, 6l});
TEST_MATH_FUNCTION(cbrt)({-5ll, -3ll, -1ll, 2ll, 4ll, 6ll});
TEST_MATH_FUNCTION(cbrt)({0u, 1u, 2u, 3u, 4u, 5u});
TEST_MATH_FUNCTION(cbrt)({0ul, 1ul, 2ul, 3ul, 4ul, 5ul});
TEST_MATH_FUNCTION(cbrt)({0ull, 1ull, 2ull, 3ull, 4ull, 5ull});
TEST_HALF_MATH_FUNCTION(cbrt, KE::half_t)({-1.f, .2f, -3.f, .4f, -5.f});
TEST_HALF_MATH_FUNCTION(cbrt, KE::bhalf_t)({-1.f, .2f, -3.f, .4f, -5.f});
TEST_MATH_FUNCTION(cbrt)({-1.f, .2f, -3.f, .4f, -5.f});
TEST_MATH_FUNCTION(cbrt)({11.1, -2.2, 33.3, -4.4, 55.5});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(cbrt)({-10.l, 20.l, -30.l, 40.l, -50.l});
#endif
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(
static_cast<KE::half_t>(2.f), static_cast<KE::half_t>(3.f));
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(
static_cast<KE::bhalf_t>(2.f), static_cast<KE::bhalf_t>(3.f));
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(2.f, 3.f);
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(2.f, 3.f);
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(2., 3.);
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
do_test_math_binary_function<TEST_EXECSPACE, kk_pow>(2.l, 3.l);
#endif
do_test_math_binary_function<TEST_EXECSPACE, kk_hypot>(
static_cast<KE::half_t>(2.f), static_cast<KE::half_t>(3.f));
do_test_math_binary_function<TEST_EXECSPACE, kk_hypot>(
static_cast<KE::bhalf_t>(2.f), static_cast<KE::bhalf_t>(3.f));
do_test_math_binary_function<TEST_EXECSPACE, kk_hypot>(2.f, 3.f);
do_test_math_binary_function<TEST_EXECSPACE, kk_hypot>(2., 3.);
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
// FIXME: fails with gcc on Power platforms
#if !(defined(KOKKOS_ARCH_POWER8) || defined(KOKKOS_ARCH_POWER9))
do_test_math_binary_function<TEST_EXECSPACE, kk_hypot>(2.l, 3.l);
#endif
#endif
do_test_math_ternary_function<TEST_EXECSPACE, kk3_hypot>(2.f, 3.f, 4.f);
do_test_math_ternary_function<TEST_EXECSPACE, kk3_hypot>(2., 3., 4.);
do_test_math_ternary_function<TEST_EXECSPACE, kk3_hypot>(2, 3.f, 4.);
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
#if !(defined(KOKKOS_ARCH_POWER8) || defined(KOKKOS_ARCH_POWER9))
do_test_math_ternary_function<TEST_EXECSPACE, kk3_hypot>(2.l, 3.l, 4.l);
#endif
#endif
}
TEST(TEST_CATEGORY, mathematical_functions_fma) {
do_test_math_ternary_function<TEST_EXECSPACE, kk3_fma>(2.f, 3.f, 4.f);
do_test_math_ternary_function<TEST_EXECSPACE, kk3_fma>(2., 3., 4.);
do_test_math_ternary_function<TEST_EXECSPACE, kk3_fma>(2, 3.f, 4.);
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
do_test_math_ternary_function<TEST_EXECSPACE, kk3_fma>(2.l, 3.l, 4.l);
#endif
}
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_3
TEST(TEST_CATEGORY, mathematical_functions_exponential_functions) {
TEST_MATH_FUNCTION(exp)({-9, -8, -7, -6, -5, 4, 3, 2, 1, 0});
TEST_MATH_FUNCTION(exp)({-9l, -8l, -7l, -6l, -5l, 4l, 3l, 2l, 1l, 0l});
TEST_MATH_FUNCTION(exp)({-9ll, -8ll, -7ll, -6ll, -5ll, 4ll, 3ll, 2ll, 1ll});
TEST_MATH_FUNCTION(exp)({0u, 1u, 2u, 3u, 4u, 5u});
TEST_MATH_FUNCTION(exp)({0ul, 1ul, 2ul, 3ul, 4ul, 5ul});
TEST_MATH_FUNCTION(exp)({0ull, 1ull, 2ull, 3ull, 4ull, 5ull});
TEST_HALF_MATH_FUNCTION(exp, KE::half_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_HALF_MATH_FUNCTION(exp, KE::bhalf_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(exp)({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(exp)({-98., -7.6, -.54, 3.2, 1., -0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(exp)({-98.l, -7.6l, -.54l, 3.2l, 1.l, -0.l});
#endif
TEST_MATH_FUNCTION(exp2)({-9, -8, -7, -6, -5, 4, 3, 2, 1, 0});
TEST_MATH_FUNCTION(exp2)({-9l, -8l, -7l, -6l, -5l, 4l, 3l, 2l, 1l, 0l});
TEST_MATH_FUNCTION(exp2)({-9ll, -8ll, -7ll, -6ll, -5ll, 4ll, 3ll, 2ll, 1ll});
TEST_MATH_FUNCTION(exp2)({0u, 1u, 2u, 3u, 4u, 5u});
TEST_MATH_FUNCTION(exp2)({0ul, 1ul, 2ul, 3ul, 4ul, 5ul});
TEST_MATH_FUNCTION(exp2)({0ull, 1ull, 2ull, 3ull, 4ull, 5ull});
TEST_HALF_MATH_FUNCTION(exp2, KE::half_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_HALF_MATH_FUNCTION(exp2, KE::bhalf_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(exp2)({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(exp2)({-98., -7.6, -.54, 3.2, 1., -0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(exp2)({-98.l, -7.6l, -.54l, 3.2l, 1.l, -0.l});
#endif
TEST_MATH_FUNCTION(expm1)({-9, -8, -7, -6, -5, 4, 3, 2, 1, 0});
TEST_MATH_FUNCTION(expm1)({-9l, -8l, -7l, -6l, -5l, 4l, 3l, 2l, 1l, 0l});
TEST_MATH_FUNCTION(expm1)({-9ll, -8ll, -7ll, -6ll, -5ll, 4ll, 3ll, 2ll, 1ll});
TEST_MATH_FUNCTION(expm1)({0u, 1u, 2u, 3u, 4u, 5u});
TEST_MATH_FUNCTION(expm1)({0ul, 1ul, 2ul, 3ul, 4ul, 5ul});
TEST_MATH_FUNCTION(expm1)({0ull, 1ull, 2ull, 3ull, 4ull, 5ull});
TEST_HALF_MATH_FUNCTION(expm1, KE::half_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_HALF_MATH_FUNCTION(expm1, KE::bhalf_t)
({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(expm1)({-98.f, -7.6f, -.54f, 3.2f, 1.f, -0.f});
TEST_MATH_FUNCTION(expm1)({-98., -7.6, -.54, 3.2, 1., -0.});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(expm1)({-98.l, -7.6l, -.54l, 3.2l, 1.l, -0.l});
#endif
TEST_MATH_FUNCTION(log)({1, 23, 456, 7890});
TEST_MATH_FUNCTION(log)({1l, 23l, 456l, 7890l});
TEST_MATH_FUNCTION(log)({1ll, 23ll, 456ll, 7890ll});
TEST_MATH_FUNCTION(log)({1u, 23u, 456u, 7890u});
TEST_MATH_FUNCTION(log)({1ul, 23ul, 456ul, 7890ul});
TEST_MATH_FUNCTION(log)({1ull, 23ull, 456ull, 7890ull});
TEST_HALF_MATH_FUNCTION(log, KE::half_t)({1234.f, 567.f, 89.f, .1f});
TEST_HALF_MATH_FUNCTION(log, KE::bhalf_t)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log)({1234., 567., 89., .02});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(log)({1234.l, 567.l, 89.l, .003l});
#endif
TEST_MATH_FUNCTION(log10)({1, 23, 456, 7890});
TEST_MATH_FUNCTION(log10)({1l, 23l, 456l, 7890l});
TEST_MATH_FUNCTION(log10)({1ll, 23ll, 456ll, 7890ll});
TEST_MATH_FUNCTION(log10)({1u, 23u, 456u, 7890u});
TEST_MATH_FUNCTION(log10)({1ul, 23ul, 456ul, 7890ul});
TEST_MATH_FUNCTION(log10)({1ull, 23ull, 456ull, 7890ull});
TEST_HALF_MATH_FUNCTION(log10, KE::half_t)({1234.f, 567.f, 89.f, .1f});
TEST_HALF_MATH_FUNCTION(log10, KE::bhalf_t)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log10)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log10)({1234., 567., 89., .02});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(log10)({1234.l, 567.l, 89.l, .003l});
#endif
// FIXME_OPENMPTARGET FIXME_AMD
#if defined(KOKKOS_ENABLE_OPENMPTARGET) && \
(defined(KOKKOS_ARCH_AMD_GFX906) || defined(KOKKOS_ARCH_AMD_GFX908) || \
defined(KOKKOS_ARCH_AMD_GFX90A) || defined(KOKKOS_ARCH_AMD_GFX942))
TEST_MATH_FUNCTION(log2)({1, 23, 456, 7890});
#endif
TEST_MATH_FUNCTION(log2)({1l, 23l, 456l, 7890l});
TEST_MATH_FUNCTION(log2)({1ll, 23ll, 456ll, 7890ll});
TEST_MATH_FUNCTION(log2)({1u, 23u, 456u, 7890u});
TEST_MATH_FUNCTION(log2)({1ul, 23ul, 456ul, 7890ul});
TEST_MATH_FUNCTION(log2)({1ull, 23ull, 456ull, 7890ull});
TEST_HALF_MATH_FUNCTION(log2, KE::half_t)({1234.f, 567.f, 89.f, .1f});
TEST_HALF_MATH_FUNCTION(log2, KE::bhalf_t)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log2)({1234.f, 567.f, 89.f, .1f});
TEST_MATH_FUNCTION(log2)({1234., 567., 89., .02});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(log2)({1234.l, 567.l, 89.l, .003l});
#endif
TEST_MATH_FUNCTION(log1p)({1, 23, 456, 7890, 0});
TEST_MATH_FUNCTION(log1p)({1l, 23l, 456l, 7890l, 0l});
TEST_MATH_FUNCTION(log1p)({1ll, 23ll, 456ll, 7890ll, 0ll});
TEST_MATH_FUNCTION(log1p)({1u, 23u, 456u, 7890u, 0u});
TEST_MATH_FUNCTION(log1p)({1ul, 23ul, 456ul, 7890ul, 0ul});
TEST_MATH_FUNCTION(log1p)({1ull, 23ull, 456ull, 7890ull, 0ull});
TEST_HALF_MATH_FUNCTION(log1p, KE::half_t)({1234.f, 567.f, 89.f, -.9f});
TEST_HALF_MATH_FUNCTION(log1p, KE::bhalf_t)({1234.f, 567.f, 89.f, -.9f});
TEST_MATH_FUNCTION(log1p)({1234.f, 567.f, 89.f, -.9f});
TEST_MATH_FUNCTION(log1p)({1234., 567., 89., -.08});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(log1p)({1234.l, 567.l, 89.l, -.007l});
#endif
}
#endif
#ifndef KOKKOS_MATHEMATICAL_FUNCTIONS_SKIP_1
TEST(TEST_CATEGORY, mathematical_functions_hyperbolic_functions) {
TEST_MATH_FUNCTION(sinh)({-3, -2, -1, 0, 1});
TEST_MATH_FUNCTION(sinh)({-3l, -2l, -1l, 0l, 1l});
TEST_MATH_FUNCTION(sinh)({-3ll, -2ll, -1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(sinh)({2u, 3u, 4u, 5u, 6u});
TEST_MATH_FUNCTION(sinh)({2ul, 3ul, 4ul, 5ul, 6ul});
TEST_MATH_FUNCTION(sinh)({2ull, 3ull, 4ull, 5ull, 6ull});
TEST_HALF_MATH_FUNCTION(sinh, KE::half_t)({.1f, -2.f, 3.f});
TEST_HALF_MATH_FUNCTION(sinh, KE::bhalf_t)({.1f, -2.f, 3.f});
TEST_MATH_FUNCTION(sinh)({.1f, -2.f, 3.f});
TEST_MATH_FUNCTION(sinh)({-4., .5, -.6});
#ifdef MATHEMATICAL_FUNCTIONS_HAVE_LONG_DOUBLE_OVERLOADS
TEST_MATH_FUNCTION(sinh)({.7l, .8l, .9l});
#endif
TEST_MATH_FUNCTION(cosh)({-3, -2, -1, 0, 1});
TEST_MATH_FUNCTION(cosh)({-3l, -2l, -1l, 0l, 1l});
TEST_MATH_FUNCTION(cosh)({-3ll, -2ll, -1ll, 0ll, 1ll});
TEST_MATH_FUNCTION(cosh)({2u, 3u, 4u, 5u, 6u});