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TestMathematicalSpecialFunctions.hpp
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TestMathematicalSpecialFunctions.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 <fstream>
#include <gtest/gtest.h>
#include "Kokkos_Core.hpp"
namespace Test {
struct TestLargeArgTag {};
struct TestRealErfcxTag {};
template <class ExecSpace>
struct TestExponentialIntergral1Function {
using ViewType = Kokkos::View<double*, ExecSpace>;
using HostViewType = Kokkos::View<double*, Kokkos::HostSpace>;
ViewType d_x, d_expint;
typename ViewType::HostMirror h_x, h_expint;
HostViewType h_ref;
void testit() {
using Kokkos::fabs;
using Kokkos::Experimental::infinity;
d_x = ViewType("d_x", 15);
d_expint = ViewType("d_expint", 15);
h_x = Kokkos::create_mirror_view(d_x);
h_expint = Kokkos::create_mirror_view(d_expint);
h_ref = HostViewType("h_ref", 15);
// Generate test inputs
h_x(0) = -0.2;
h_x(1) = 0.0;
h_x(2) = 0.2;
h_x(3) = 0.8;
h_x(4) = 1.6;
h_x(5) = 5.1;
h_x(6) = 0.01;
h_x(7) = 0.001;
h_x(8) = 1.0;
h_x(9) = 1.001;
h_x(10) = 1.01;
h_x(11) = 1.1;
h_x(12) = 7.2;
h_x(13) = 10.3;
h_x(14) = 15.4;
Kokkos::deep_copy(d_x, h_x);
// Call exponential integral function
Kokkos::parallel_for(Kokkos::RangePolicy<ExecSpace>(0, 15), *this);
Kokkos::fence();
Kokkos::deep_copy(h_expint, d_expint);
// Reference values computed with Octave
h_ref(0) = -infinity<double>::value; // x(0)=-0.2
h_ref(1) = infinity<double>::value; // x(1)= 0.0
h_ref(2) = 1.222650544183893e+00; // x(2) =0.2
h_ref(3) = 3.105965785455429e-01; // x(3) =0.8
h_ref(4) = 8.630833369753976e-02; // x(4) =1.6
h_ref(5) = 1.021300107861738e-03; // x(5) =5.1
h_ref(6) = 4.037929576538113e+00; // x(6) =0.01
h_ref(7) = 6.331539364136149e+00; // x(7) =0.001
h_ref(8) = 2.193839343955205e-01; // x(8) =1.0
h_ref(9) = 2.190164225274689e-01; // x(9) =1.001
h_ref(10) = 2.157416237944899e-01; // x(10)=1.01
h_ref(11) = 1.859909045360401e-01; // x(11)=1.1
h_ref(12) = 9.218811688716196e-05; // x(12)=7.2
h_ref(13) = 2.996734771597901e-06; // x(13)=10.3
h_ref(14) = 1.254522935050609e-08; // x(14)=15.4
EXPECT_EQ(h_ref(0), h_expint(0));
EXPECT_EQ(h_ref(1), h_expint(1));
for (int i = 2; i < 15; i++) {
EXPECT_LE(std::abs(h_expint(i) - h_ref(i)), std::abs(h_ref(i)) * 1e-15);
}
}
KOKKOS_INLINE_FUNCTION
void operator()(const int& i) const {
d_expint(i) = Kokkos::Experimental::expint1(d_x(i));
}
};
template <class ExecSpace>
struct TestComplexErrorFunction {
using ViewType = Kokkos::View<Kokkos::complex<double>*, ExecSpace>;
using HostViewType =
Kokkos::View<Kokkos::complex<double>*, Kokkos::HostSpace>;
using DblViewType = Kokkos::View<double*, ExecSpace>;
using DblHostViewType = Kokkos::View<double*, Kokkos::HostSpace>;
ViewType d_z, d_erf, d_erfcx;
typename ViewType::HostMirror h_z, h_erf, h_erfcx;
HostViewType h_ref_erf, h_ref_erfcx;
DblViewType d_x, d_erfcx_dbl;
typename DblViewType::HostMirror h_x, h_erfcx_dbl;
DblHostViewType h_ref_erfcx_dbl;
void testit() {
using Kokkos::Experimental::infinity;
d_z = ViewType("d_z", 52);
d_erf = ViewType("d_erf", 52);
d_erfcx = ViewType("d_erfcx", 52);
h_z = Kokkos::create_mirror_view(d_z);
h_erf = Kokkos::create_mirror_view(d_erf);
h_erfcx = Kokkos::create_mirror_view(d_erfcx);
h_ref_erf = HostViewType("h_ref_erf", 52);
h_ref_erfcx = HostViewType("h_ref_erfcx", 52);
d_x = DblViewType("d_x", 6);
d_erfcx_dbl = DblViewType("d_erfcx_dbl", 6);
h_x = Kokkos::create_mirror_view(d_x);
h_erfcx_dbl = Kokkos::create_mirror_view(d_erfcx_dbl);
h_ref_erfcx_dbl = DblHostViewType("h_ref_erfcx_dbl", 6);
// Generate test inputs
// abs(z)<=2
h_z(0) = Kokkos::complex<double>(0.0011, 0);
h_z(1) = Kokkos::complex<double>(-0.0011, 0);
h_z(2) = Kokkos::complex<double>(1.4567, 0);
h_z(3) = Kokkos::complex<double>(-1.4567, 0);
h_z(4) = Kokkos::complex<double>(0, 0.0011);
h_z(5) = Kokkos::complex<double>(0, -0.0011);
h_z(6) = Kokkos::complex<double>(0, 1.4567);
h_z(7) = Kokkos::complex<double>(0, -1.4567);
h_z(8) = Kokkos::complex<double>(1.4567, 0.0011);
h_z(9) = Kokkos::complex<double>(1.4567, -0.0011);
h_z(10) = Kokkos::complex<double>(-1.4567, 0.0011);
h_z(11) = Kokkos::complex<double>(-1.4567, -0.0011);
h_z(12) = Kokkos::complex<double>(1.4567, 0.5942);
h_z(13) = Kokkos::complex<double>(1.4567, -0.5942);
h_z(14) = Kokkos::complex<double>(-1.4567, 0.5942);
h_z(15) = Kokkos::complex<double>(-1.4567, -0.5942);
h_z(16) = Kokkos::complex<double>(0.0011, 0.5942);
h_z(17) = Kokkos::complex<double>(0.0011, -0.5942);
h_z(18) = Kokkos::complex<double>(-0.0011, 0.5942);
h_z(19) = Kokkos::complex<double>(-0.0011, -0.5942);
h_z(20) = Kokkos::complex<double>(0.0011, 0.0051);
h_z(21) = Kokkos::complex<double>(0.0011, -0.0051);
h_z(22) = Kokkos::complex<double>(-0.0011, 0.0051);
h_z(23) = Kokkos::complex<double>(-0.0011, -0.0051);
// abs(z)>2.0 and x>1
h_z(24) = Kokkos::complex<double>(3.5, 0.0011);
h_z(25) = Kokkos::complex<double>(3.5, -0.0011);
h_z(26) = Kokkos::complex<double>(-3.5, 0.0011);
h_z(27) = Kokkos::complex<double>(-3.5, -0.0011);
h_z(28) = Kokkos::complex<double>(3.5, 9.7);
h_z(29) = Kokkos::complex<double>(3.5, -9.7);
h_z(30) = Kokkos::complex<double>(-3.5, 9.7);
h_z(31) = Kokkos::complex<double>(-3.5, -9.7);
h_z(32) = Kokkos::complex<double>(18.9, 9.7);
h_z(33) = Kokkos::complex<double>(18.9, -9.7);
h_z(34) = Kokkos::complex<double>(-18.9, 9.7);
h_z(35) = Kokkos::complex<double>(-18.9, -9.7);
// abs(z)>2.0 and 0<=x<=1 and abs(y)<6
h_z(36) = Kokkos::complex<double>(0.85, 3.5);
h_z(37) = Kokkos::complex<double>(0.85, -3.5);
h_z(38) = Kokkos::complex<double>(-0.85, 3.5);
h_z(39) = Kokkos::complex<double>(-0.85, -3.5);
h_z(40) = Kokkos::complex<double>(0.0011, 3.5);
h_z(41) = Kokkos::complex<double>(0.0011, -3.5);
h_z(42) = Kokkos::complex<double>(-0.0011, 3.5);
h_z(43) = Kokkos::complex<double>(-0.0011, -3.5);
// abs(z)>2.0 and 0<=x<=1 and abs(y)>=6
h_z(44) = Kokkos::complex<double>(0.85, 7.5);
h_z(45) = Kokkos::complex<double>(0.85, -7.5);
h_z(46) = Kokkos::complex<double>(-0.85, 7.5);
h_z(47) = Kokkos::complex<double>(-0.85, -7.5);
h_z(48) = Kokkos::complex<double>(0.85, 19.7);
h_z(49) = Kokkos::complex<double>(0.85, -19.7);
h_z(50) = Kokkos::complex<double>(-0.85, 19.7);
h_z(51) = Kokkos::complex<double>(-0.85, -19.7);
h_x(0) = -infinity<double>::value;
h_x(1) = -1.2;
h_x(2) = 0.0;
h_x(3) = 1.2;
h_x(4) = 10.5;
h_x(5) = infinity<double>::value;
Kokkos::deep_copy(d_z, h_z);
Kokkos::deep_copy(d_x, h_x);
// Call erf and erfcx functions
Kokkos::parallel_for(Kokkos::RangePolicy<ExecSpace>(0, 52), *this);
Kokkos::fence();
Kokkos::parallel_for(Kokkos::RangePolicy<ExecSpace, TestRealErfcxTag>(0, 1),
*this);
Kokkos::fence();
Kokkos::deep_copy(h_erf, d_erf);
Kokkos::deep_copy(h_erfcx, d_erfcx);
Kokkos::deep_copy(h_erfcx_dbl, d_erfcx_dbl);
// Reference values computed with Octave
h_ref_erf(0) = Kokkos::complex<double>(0.001241216583181022, 0);
h_ref_erf(1) = Kokkos::complex<double>(-0.001241216583181022, 0);
h_ref_erf(2) = Kokkos::complex<double>(0.9606095744865353, 0);
h_ref_erf(3) = Kokkos::complex<double>(-0.9606095744865353, 0);
h_ref_erf(4) = Kokkos::complex<double>(0, 0.001241217584429469);
h_ref_erf(5) = Kokkos::complex<double>(0, -0.001241217584429469);
h_ref_erf(6) = Kokkos::complex<double>(0, 4.149756424218223);
h_ref_erf(7) = Kokkos::complex<double>(0, -4.149756424218223);
h_ref_erf(8) =
Kokkos::complex<double>(0.960609812745064, 0.0001486911741082233);
h_ref_erf(9) =
Kokkos::complex<double>(0.960609812745064, -0.0001486911741082233);
h_ref_erf(10) =
Kokkos::complex<double>(-0.960609812745064, 0.0001486911741082233);
h_ref_erf(11) =
Kokkos::complex<double>(-0.960609812745064, -0.0001486911741082233);
h_ref_erf(12) =
Kokkos::complex<double>(1.02408827958197, 0.04828570635603527);
h_ref_erf(13) =
Kokkos::complex<double>(1.02408827958197, -0.04828570635603527);
h_ref_erf(14) =
Kokkos::complex<double>(-1.02408827958197, 0.04828570635603527);
h_ref_erf(15) =
Kokkos::complex<double>(-1.02408827958197, -0.04828570635603527);
h_ref_erf(16) =
Kokkos::complex<double>(0.001766791817179109, 0.7585038120712589);
h_ref_erf(17) =
Kokkos::complex<double>(0.001766791817179109, -0.7585038120712589);
h_ref_erf(18) =
Kokkos::complex<double>(-0.001766791817179109, 0.7585038120712589);
h_ref_erf(19) =
Kokkos::complex<double>(-0.001766791817179109, -0.7585038120712589);
h_ref_erf(20) =
Kokkos::complex<double>(0.001241248867618165, 0.005754776682713324);
h_ref_erf(21) =
Kokkos::complex<double>(0.001241248867618165, -0.005754776682713324);
h_ref_erf(22) =
Kokkos::complex<double>(-0.001241248867618165, 0.005754776682713324);
h_ref_erf(23) =
Kokkos::complex<double>(-0.001241248867618165, -0.005754776682713324);
h_ref_erf(24) =
Kokkos::complex<double>(0.9999992569244941, 5.939313159932013e-09);
h_ref_erf(25) =
Kokkos::complex<double>(0.9999992569244941, -5.939313159932013e-09);
h_ref_erf(26) =
Kokkos::complex<double>(-0.9999992569244941, 5.939313159932013e-09);
h_ref_erf(27) =
Kokkos::complex<double>(-0.9999992569244941, -5.939313159932013e-09);
h_ref_erf(28) =
Kokkos::complex<double>(-1.915595842013002e+34, 1.228821279117683e+32);
h_ref_erf(29) =
Kokkos::complex<double>(-1.915595842013002e+34, -1.228821279117683e+32);
h_ref_erf(30) =
Kokkos::complex<double>(1.915595842013002e+34, 1.228821279117683e+32);
h_ref_erf(31) =
Kokkos::complex<double>(1.915595842013002e+34, -1.228821279117683e+32);
h_ref_erf(32) = Kokkos::complex<double>(1, 5.959897539826596e-117);
h_ref_erf(33) = Kokkos::complex<double>(1, -5.959897539826596e-117);
h_ref_erf(34) = Kokkos::complex<double>(-1, 5.959897539826596e-117);
h_ref_erf(35) = Kokkos::complex<double>(-1, -5.959897539826596e-117);
h_ref_erf(36) =
Kokkos::complex<double>(-9211.077162784413, 13667.93825589455);
h_ref_erf(37) =
Kokkos::complex<double>(-9211.077162784413, -13667.93825589455);
h_ref_erf(38) =
Kokkos::complex<double>(9211.077162784413, 13667.93825589455);
h_ref_erf(39) =
Kokkos::complex<double>(9211.077162784413, -13667.93825589455);
h_ref_erf(40) = Kokkos::complex<double>(259.38847811225, 35281.28906479814);
h_ref_erf(41) =
Kokkos::complex<double>(259.38847811225, -35281.28906479814);
h_ref_erf(42) =
Kokkos::complex<double>(-259.38847811225, 35281.28906479814);
h_ref_erf(43) =
Kokkos::complex<double>(-259.38847811225, -35281.28906479814);
h_ref_erf(44) =
Kokkos::complex<double>(6.752085728270252e+21, 9.809477366939276e+22);
h_ref_erf(45) =
Kokkos::complex<double>(6.752085728270252e+21, -9.809477366939276e+22);
h_ref_erf(46) =
Kokkos::complex<double>(-6.752085728270252e+21, 9.809477366939276e+22);
h_ref_erf(47) =
Kokkos::complex<double>(-6.752085728270252e+21, -9.809477366939276e+22);
h_ref_erf(48) =
Kokkos::complex<double>(4.37526734926942e+166, -2.16796709605852e+166);
h_ref_erf(49) =
Kokkos::complex<double>(4.37526734926942e+166, 2.16796709605852e+166);
h_ref_erf(50) =
Kokkos::complex<double>(-4.37526734926942e+166, -2.16796709605852e+166);
h_ref_erf(51) =
Kokkos::complex<double>(-4.37526734926942e+166, 2.16796709605852e+166);
h_ref_erfcx(0) = Kokkos::complex<double>(0.9987599919156778, 0);
h_ref_erfcx(1) = Kokkos::complex<double>(1.001242428085786, 0);
h_ref_erfcx(2) = Kokkos::complex<double>(0.3288157848563544, 0);
h_ref_erfcx(3) = Kokkos::complex<double>(16.36639786516915, 0);
h_ref_erfcx(4) =
Kokkos::complex<double>(0.999998790000732, -0.001241216082557101);
h_ref_erfcx(5) =
Kokkos::complex<double>(0.999998790000732, 0.001241216082557101);
h_ref_erfcx(6) =
Kokkos::complex<double>(0.1197948131677216, -0.4971192955307743);
h_ref_erfcx(7) =
Kokkos::complex<double>(0.1197948131677216, 0.4971192955307743);
h_ref_erfcx(8) =
Kokkos::complex<double>(0.3288156873503045, -0.0001874479383970247);
h_ref_erfcx(9) =
Kokkos::complex<double>(0.3288156873503045, 0.0001874479383970247);
h_ref_erfcx(10) =
Kokkos::complex<double>(16.36629202874158, -0.05369111060785572);
h_ref_erfcx(11) =
Kokkos::complex<double>(16.36629202874158, 0.05369111060785572);
h_ref_erfcx(12) =
Kokkos::complex<double>(0.3020886508118801, -0.09424097887578842);
h_ref_erfcx(13) =
Kokkos::complex<double>(0.3020886508118801, 0.09424097887578842);
h_ref_erfcx(14) =
Kokkos::complex<double>(-2.174707722732267, -11.67259764091796);
h_ref_erfcx(15) =
Kokkos::complex<double>(-2.174707722732267, 11.67259764091796);
h_ref_erfcx(16) =
Kokkos::complex<double>(0.7019810779371267, -0.5319516793968513);
h_ref_erfcx(17) =
Kokkos::complex<double>(0.7019810779371267, 0.5319516793968513);
h_ref_erfcx(18) =
Kokkos::complex<double>(0.7030703366403597, -0.5337884198542978);
h_ref_erfcx(19) =
Kokkos::complex<double>(0.7030703366403597, 0.5337884198542978);
h_ref_erfcx(20) =
Kokkos::complex<double>(0.9987340467266177, -0.005743428170378673);
h_ref_erfcx(21) =
Kokkos::complex<double>(0.9987340467266177, 0.005743428170378673);
h_ref_erfcx(22) =
Kokkos::complex<double>(1.001216353762532, -0.005765867613873103);
h_ref_erfcx(23) =
Kokkos::complex<double>(1.001216353762532, 0.005765867613873103);
h_ref_erfcx(24) =
Kokkos::complex<double>(0.1552936427089241, -4.545593205871305e-05);
h_ref_erfcx(25) =
Kokkos::complex<double>(0.1552936427089241, 4.545593205871305e-05);
h_ref_erfcx(26) =
Kokkos::complex<double>(417949.5262869648, -3218.276197742372);
h_ref_erfcx(27) =
Kokkos::complex<double>(417949.5262869648, 3218.276197742372);
h_ref_erfcx(28) =
Kokkos::complex<double>(0.01879467905925653, -0.0515934271478583);
h_ref_erfcx(29) =
Kokkos::complex<double>(0.01879467905925653, 0.0515934271478583);
h_ref_erfcx(30) =
Kokkos::complex<double>(-0.01879467905925653, -0.0515934271478583);
h_ref_erfcx(31) =
Kokkos::complex<double>(-0.01879467905925653, 0.0515934271478583);
h_ref_erfcx(32) =
Kokkos::complex<double>(0.02362328821805, -0.01209735551897239);
h_ref_erfcx(33) =
Kokkos::complex<double>(0.02362328821805, 0.01209735551897239);
h_ref_erfcx(34) = Kokkos::complex<double>(-2.304726099084567e+114,
-2.942443198107089e+114);
h_ref_erfcx(35) = Kokkos::complex<double>(-2.304726099084567e+114,
2.942443198107089e+114);
h_ref_erfcx(36) =
Kokkos::complex<double>(0.04174017523145063, -0.1569865319886248);
h_ref_erfcx(37) =
Kokkos::complex<double>(0.04174017523145063, 0.1569865319886248);
h_ref_erfcx(38) =
Kokkos::complex<double>(-0.04172154858670504, -0.156980085534407);
h_ref_erfcx(39) =
Kokkos::complex<double>(-0.04172154858670504, 0.156980085534407);
h_ref_erfcx(40) =
Kokkos::complex<double>(6.355803055239174e-05, -0.1688298297427782);
h_ref_erfcx(41) =
Kokkos::complex<double>(6.355803055239174e-05, 0.1688298297427782);
h_ref_erfcx(42) =
Kokkos::complex<double>(-5.398806789669434e-05, -0.168829903432947);
h_ref_erfcx(43) =
Kokkos::complex<double>(-5.398806789669434e-05, 0.168829903432947);
h_ref_erfcx(44) =
Kokkos::complex<double>(0.008645103282302355, -0.07490521021566741);
h_ref_erfcx(45) =
Kokkos::complex<double>(0.008645103282302355, 0.07490521021566741);
h_ref_erfcx(46) =
Kokkos::complex<double>(-0.008645103282302355, -0.07490521021566741);
h_ref_erfcx(47) =
Kokkos::complex<double>(-0.008645103282302355, 0.07490521021566741);
h_ref_erfcx(48) =
Kokkos::complex<double>(0.001238176693606428, -0.02862247416909219);
h_ref_erfcx(49) =
Kokkos::complex<double>(0.001238176693606428, 0.02862247416909219);
h_ref_erfcx(50) =
Kokkos::complex<double>(-0.001238176693606428, -0.02862247416909219);
h_ref_erfcx(51) =
Kokkos::complex<double>(-0.001238176693606428, 0.02862247416909219);
h_ref_erfcx_dbl(0) = infinity<double>::value;
h_ref_erfcx_dbl(1) = 8.062854217063865e+00;
h_ref_erfcx_dbl(2) = 1.0;
h_ref_erfcx_dbl(3) = 3.785374169292397e-01;
h_ref_erfcx_dbl(4) = 5.349189974656411e-02;
h_ref_erfcx_dbl(5) = 0.0;
for (int i = 0; i < 52; i++) {
EXPECT_LE(Kokkos::abs(h_erf(i) - h_ref_erf(i)),
Kokkos::abs(h_ref_erf(i)) * 1e-13);
}
for (int i = 0; i < 52; i++) {
EXPECT_LE(Kokkos::abs(h_erfcx(i) - h_ref_erfcx(i)),
Kokkos::abs(h_ref_erfcx(i)) * 1e-13);
}
EXPECT_EQ(h_erfcx_dbl(0), h_ref_erfcx_dbl(0));
EXPECT_EQ(h_erfcx_dbl(5), h_ref_erfcx_dbl(5));
for (int i = 1; i < 5; i++) {
EXPECT_LE(std::abs(h_erfcx_dbl(i) - h_ref_erfcx_dbl(i)),
std::abs(h_ref_erfcx_dbl(i)) * 1e-13);
}
}
KOKKOS_INLINE_FUNCTION
void operator()(const int& i) const {
d_erf(i) = Kokkos::Experimental::erf(d_z(i));
d_erfcx(i) = Kokkos::Experimental::erfcx(d_z(i));
}
KOKKOS_INLINE_FUNCTION
void operator()(const TestRealErfcxTag&, const int& /*i*/) const {
d_erfcx_dbl(0) = Kokkos::Experimental::erfcx(d_x(0));
d_erfcx_dbl(1) = Kokkos::Experimental::erfcx(d_x(1));
d_erfcx_dbl(2) = Kokkos::Experimental::erfcx(d_x(2));
d_erfcx_dbl(3) = Kokkos::Experimental::erfcx(d_x(3));
d_erfcx_dbl(4) = Kokkos::Experimental::erfcx(d_x(4));
d_erfcx_dbl(5) = Kokkos::Experimental::erfcx(d_x(5));
}
};
template <class ExecSpace>
struct TestComplexBesselJ0Y0Function {
using ViewType = Kokkos::View<Kokkos::complex<double>*, ExecSpace>;
using HostViewType =
Kokkos::View<Kokkos::complex<double>*, Kokkos::HostSpace>;
ViewType d_z, d_cbj0, d_cby0;
typename ViewType::HostMirror h_z, h_cbj0, h_cby0;
HostViewType h_ref_cbj0, h_ref_cby0;
ViewType d_z_large, d_cbj0_large, d_cby0_large;
typename ViewType::HostMirror h_z_large, h_cbj0_large, h_cby0_large;
HostViewType h_ref_cbj0_large, h_ref_cby0_large;
void testit() {
using Kokkos::Experimental::infinity;
int N = 25;
d_z = ViewType("d_z", N);
d_cbj0 = ViewType("d_cbj0", N);
d_cby0 = ViewType("d_cby0", N);
h_z = Kokkos::create_mirror_view(d_z);
h_cbj0 = Kokkos::create_mirror_view(d_cbj0);
h_cby0 = Kokkos::create_mirror_view(d_cby0);
h_ref_cbj0 = HostViewType("h_ref_cbj0", N);
h_ref_cby0 = HostViewType("h_ref_cby0", N);
// Generate test inputs
h_z(0) = Kokkos::complex<double>(0.0, 0.0);
// abs(z)<=25
h_z(1) = Kokkos::complex<double>(3.0, 2.0);
h_z(2) = Kokkos::complex<double>(3.0, -2.0);
h_z(3) = Kokkos::complex<double>(-3.0, 2.0);
h_z(4) = Kokkos::complex<double>(-3.0, -2.0);
h_z(5) = Kokkos::complex<double>(23.0, 10.0);
h_z(6) = Kokkos::complex<double>(23.0, -10.0);
h_z(7) = Kokkos::complex<double>(-23.0, 10.0);
h_z(8) = Kokkos::complex<double>(-23.0, -10.0);
h_z(9) = Kokkos::complex<double>(3.0, 0.0);
h_z(10) = Kokkos::complex<double>(-3.0, 0.0);
h_z(11) = Kokkos::complex<double>(23.0, 0.0);
h_z(12) = Kokkos::complex<double>(-23.0, 0.0);
// abs(z)>25
h_z(13) = Kokkos::complex<double>(28.0, 10.0);
h_z(14) = Kokkos::complex<double>(28.0, -10.0);
h_z(15) = Kokkos::complex<double>(-28.0, 10.0);
h_z(16) = Kokkos::complex<double>(-28.0, -10.0);
h_z(17) = Kokkos::complex<double>(60.0, 10.0);
h_z(18) = Kokkos::complex<double>(60.0, -10.0);
h_z(19) = Kokkos::complex<double>(-60.0, 10.0);
h_z(20) = Kokkos::complex<double>(-60.0, -10.0);
h_z(21) = Kokkos::complex<double>(28.0, 0.0);
h_z(22) = Kokkos::complex<double>(-28.0, 0.0);
h_z(23) = Kokkos::complex<double>(60.0, 0.0);
h_z(24) = Kokkos::complex<double>(-60.0, 0.0);
Kokkos::deep_copy(d_z, h_z);
// Call Bessel functions
#if (HIP_VERSION_MAJOR == 5) && (HIP_VERSION_MINOR == 4)
using Property =
Kokkos::Experimental::WorkItemProperty::ImplForceGlobalLaunch_t;
#else
using Property = Kokkos::Experimental::WorkItemProperty::None_t;
#endif
Kokkos::parallel_for(Kokkos::RangePolicy<ExecSpace, Property>(0, N), *this);
Kokkos::fence();
Kokkos::deep_copy(h_cbj0, d_cbj0);
Kokkos::deep_copy(h_cby0, d_cby0);
// Reference values computed with Octave
h_ref_cbj0(0) = Kokkos::complex<double>(1.000000000000000e+00, 0);
h_ref_cbj0(1) =
Kokkos::complex<double>(-1.249234879607422e+00, -9.479837920577351e-01);
h_ref_cbj0(2) =
Kokkos::complex<double>(-1.249234879607422e+00, +9.479837920577351e-01);
h_ref_cbj0(3) =
Kokkos::complex<double>(-1.249234879607422e+00, +9.479837920577351e-01);
h_ref_cbj0(4) =
Kokkos::complex<double>(-1.249234879607422e+00, -9.479837920577351e-01);
h_ref_cbj0(5) =
Kokkos::complex<double>(-1.602439981218195e+03, +7.230667451989807e+02);
h_ref_cbj0(6) =
Kokkos::complex<double>(-1.602439981218195e+03, -7.230667451989807e+02);
h_ref_cbj0(7) =
Kokkos::complex<double>(-1.602439981218195e+03, -7.230667451989807e+02);
h_ref_cbj0(8) =
Kokkos::complex<double>(-1.602439981218195e+03, +7.230667451989807e+02);
h_ref_cbj0(9) = Kokkos::complex<double>(-2.600519549019335e-01, 0);
h_ref_cbj0(10) =
Kokkos::complex<double>(-2.600519549019335e-01, +9.951051106466461e-18);
h_ref_cbj0(11) = Kokkos::complex<double>(-1.624127813134866e-01, 0);
h_ref_cbj0(12) =
Kokkos::complex<double>(-1.624127813134866e-01, -1.387778780781446e-17);
h_ref_cbj0(13) =
Kokkos::complex<double>(-1.012912188513958e+03, -1.256239636146142e+03);
h_ref_cbj0(14) =
Kokkos::complex<double>(-1.012912188513958e+03, +1.256239636146142e+03);
h_ref_cbj0(15) =
Kokkos::complex<double>(-1.012912188513958e+03, +1.256239636146142e+03);
h_ref_cbj0(16) =
Kokkos::complex<double>(-1.012912188513958e+03, -1.256239636146142e+03);
h_ref_cbj0(17) =
Kokkos::complex<double>(-1.040215134669324e+03, -4.338202386810095e+02);
h_ref_cbj0(18) =
Kokkos::complex<double>(-1.040215134669324e+03, +4.338202386810095e+02);
h_ref_cbj0(19) =
Kokkos::complex<double>(-1.040215134669324e+03, +4.338202386810095e+02);
h_ref_cbj0(20) =
Kokkos::complex<double>(-1.040215134669324e+03, -4.338202386810095e+02);
h_ref_cbj0(21) = Kokkos::complex<double>(-7.315701054899962e-02, 0);
h_ref_cbj0(22) =
Kokkos::complex<double>(-7.315701054899962e-02, -6.938893903907228e-18);
h_ref_cbj0(23) = Kokkos::complex<double>(-9.147180408906189e-02, 0);
h_ref_cbj0(24) =
Kokkos::complex<double>(-9.147180408906189e-02, +1.387778780781446e-17);
h_ref_cby0(0) = Kokkos::complex<double>(-infinity<double>::value, 0);
h_ref_cby0(1) =
Kokkos::complex<double>(1.000803196554890e+00, -1.231441609303427e+00);
h_ref_cby0(2) =
Kokkos::complex<double>(1.000803196554890e+00, +1.231441609303427e+00);
h_ref_cby0(3) =
Kokkos::complex<double>(-8.951643875605797e-01, -1.267028149911417e+00);
h_ref_cby0(4) =
Kokkos::complex<double>(-8.951643875605797e-01, +1.267028149911417e+00);
h_ref_cby0(5) =
Kokkos::complex<double>(-7.230667452992603e+02, -1.602439974000479e+03);
h_ref_cby0(6) =
Kokkos::complex<double>(-7.230667452992603e+02, +1.602439974000479e+03);
h_ref_cby0(7) =
Kokkos::complex<double>(7.230667450987011e+02, -1.602439988435912e+03);
h_ref_cby0(8) =
Kokkos::complex<double>(7.230667450987011e+02, +1.602439988435912e+03);
h_ref_cby0(9) = Kokkos::complex<double>(3.768500100127903e-01, 0);
h_ref_cby0(10) =
Kokkos::complex<double>(3.768500100127903e-01, -5.201039098038670e-01);
h_ref_cby0(11) = Kokkos::complex<double>(-3.598179027370283e-02, 0);
h_ref_cby0(12) =
Kokkos::complex<double>(-3.598179027370282e-02, -3.248255626269732e-01);
h_ref_cby0(13) =
Kokkos::complex<double>(1.256239642409530e+03, -1.012912186329053e+03);
h_ref_cby0(14) =
Kokkos::complex<double>(1.256239642409530e+03, +1.012912186329053e+03);
h_ref_cby0(15) =
Kokkos::complex<double>(-1.256239629882755e+03, -1.012912190698863e+03);
h_ref_cby0(16) =
Kokkos::complex<double>(-1.256239629882755e+03, +1.012912190698863e+03);
h_ref_cby0(17) =
Kokkos::complex<double>(4.338202411482646e+02, -1.040215130736213e+03);
h_ref_cby0(18) =
Kokkos::complex<double>(4.338202411482646e+02, +1.040215130736213e+03);
h_ref_cby0(19) =
Kokkos::complex<double>(-4.338202362137545e+02, -1.040215138602435e+03);
h_ref_cby0(20) =
Kokkos::complex<double>(-4.338202362137545e+02, +1.040215138602435e+03);
h_ref_cby0(21) = Kokkos::complex<double>(1.318364704235323e-01, 0);
h_ref_cby0(22) =
Kokkos::complex<double>(1.318364704235323e-01, -1.463140210979992e-01);
h_ref_cby0(23) = Kokkos::complex<double>(4.735895220944939e-02, 0);
h_ref_cby0(24) =
Kokkos::complex<double>(4.735895220944938e-02, -1.829436081781237e-01);
for (int i = 0; i < N; i++) {
EXPECT_LE(Kokkos::abs(h_cbj0(i) - h_ref_cbj0(i)),
Kokkos::abs(h_ref_cbj0(i)) * 1e-13);
}
EXPECT_EQ(h_ref_cby0(0), h_cby0(0));
for (int i = 1; i < N; i++) {
EXPECT_LE(Kokkos::abs(h_cby0(i) - h_ref_cby0(i)),
Kokkos::abs(h_ref_cby0(i)) * 1e-13);
}
////Test large arguments
d_z_large = ViewType("d_z_large", 6);
d_cbj0_large = ViewType("d_cbj0_large", 6);
d_cby0_large = ViewType("d_cby0_large", 6);
h_z_large = Kokkos::create_mirror_view(d_z_large);
h_cbj0_large = Kokkos::create_mirror_view(d_cbj0_large);
h_cby0_large = Kokkos::create_mirror_view(d_cby0_large);
h_ref_cbj0_large = HostViewType("h_ref_cbj0_large", 2);
h_ref_cby0_large = HostViewType("h_ref_cby0_large", 2);
h_z_large(0) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(1) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(2) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(3) = Kokkos::complex<double>(-10000.0, 100.0);
h_z_large(4) = Kokkos::complex<double>(-10000.0, 100.0);
h_z_large(5) = Kokkos::complex<double>(-10000.0, 100.0);
Kokkos::deep_copy(d_z_large, h_z_large);
Kokkos::parallel_for(
Kokkos::RangePolicy<ExecSpace, Property, TestLargeArgTag>(0, 1), *this);
Kokkos::fence();
Kokkos::deep_copy(h_cbj0_large, d_cbj0_large);
Kokkos::deep_copy(h_cby0_large, d_cby0_large);
h_ref_cbj0_large(0) =
Kokkos::complex<double>(-9.561811498244175e+40, -4.854995782103029e+40);
h_ref_cbj0_large(1) =
Kokkos::complex<double>(-9.561811498244175e+40, +4.854995782103029e+40);
h_ref_cby0_large(0) =
Kokkos::complex<double>(4.854995782103029e+40, -9.561811498244175e+40);
h_ref_cby0_large(1) =
Kokkos::complex<double>(-4.854995782103029e+40, -9.561811498244175e+40);
EXPECT_TRUE((Kokkos::abs(h_cbj0_large(0) - h_ref_cbj0_large(0)) <
Kokkos::abs(h_ref_cbj0_large(0)) * 1e-12) &&
(Kokkos::abs(h_cbj0_large(0) - h_ref_cbj0_large(0)) >
Kokkos::abs(h_ref_cbj0_large(0)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cbj0_large(1) - h_ref_cbj0_large(0)) >
Kokkos::abs(h_ref_cbj0_large(0)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cbj0_large(2) - h_ref_cbj0_large(0)) <
Kokkos::abs(h_ref_cbj0_large(0)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cbj0_large(3) - h_ref_cbj0_large(1)) <
Kokkos::abs(h_ref_cbj0_large(1)) * 1e-12) &&
(Kokkos::abs(h_cbj0_large(3) - h_ref_cbj0_large(1)) >
Kokkos::abs(h_ref_cbj0_large(1)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cbj0_large(4) - h_ref_cbj0_large(1)) >
Kokkos::abs(h_ref_cbj0_large(1)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cbj0_large(5) - h_ref_cbj0_large(1)) <
Kokkos::abs(h_ref_cbj0_large(1)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cby0_large(0) - h_ref_cby0_large(0)) <
Kokkos::abs(h_ref_cby0_large(0)) * 1e-12) &&
(Kokkos::abs(h_cby0_large(0) - h_ref_cby0_large(0)) >
Kokkos::abs(h_ref_cby0_large(0)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cby0_large(1) - h_ref_cby0_large(0)) >
Kokkos::abs(h_ref_cby0_large(0)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cby0_large(2) - h_ref_cby0_large(0)) <
Kokkos::abs(h_ref_cby0_large(0)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cby0_large(3) - h_ref_cby0_large(1)) <
Kokkos::abs(h_ref_cby0_large(1)) * 1e-12) &&
(Kokkos::abs(h_cby0_large(3) - h_ref_cby0_large(1)) >
Kokkos::abs(h_ref_cby0_large(1)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cby0_large(4) - h_ref_cby0_large(1)) >
Kokkos::abs(h_ref_cby0_large(1)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cby0_large(5) - h_ref_cby0_large(1)) <
Kokkos::abs(h_ref_cby0_large(1)) * 1e-13);
}
KOKKOS_INLINE_FUNCTION
void operator()(const int& i) const {
d_cbj0(i) = Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>,
double, int>(d_z(i));
d_cby0(i) = Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>,
double, int>(d_z(i));
}
KOKKOS_INLINE_FUNCTION
void operator()(const TestLargeArgTag&, const int& /*i*/) const {
d_cbj0_large(0) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(0));
d_cbj0_large(1) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(1), 11000, 3000);
d_cbj0_large(2) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(2), 11000, 7500);
d_cbj0_large(3) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(3));
d_cbj0_large(4) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(4), 11000, 3000);
d_cbj0_large(5) =
Kokkos::Experimental::cyl_bessel_j0<Kokkos::complex<double>, double,
int>(d_z_large(5), 11000, 7500);
d_cby0_large(0) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(0));
d_cby0_large(1) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(1), 11000, 3000);
d_cby0_large(2) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(2), 11000, 7500);
d_cby0_large(3) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(3));
d_cby0_large(4) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(4), 11000, 3000);
d_cby0_large(5) =
Kokkos::Experimental::cyl_bessel_y0<Kokkos::complex<double>, double,
int>(d_z_large(5), 11000, 7500);
}
};
template <class ExecSpace>
struct TestComplexBesselJ1Y1Function {
using ViewType = Kokkos::View<Kokkos::complex<double>*, ExecSpace>;
using HostViewType =
Kokkos::View<Kokkos::complex<double>*, Kokkos::HostSpace>;
ViewType d_z, d_cbj1, d_cby1;
typename ViewType::HostMirror h_z, h_cbj1, h_cby1;
HostViewType h_ref_cbj1, h_ref_cby1;
ViewType d_z_large, d_cbj1_large, d_cby1_large;
typename ViewType::HostMirror h_z_large, h_cbj1_large, h_cby1_large;
HostViewType h_ref_cbj1_large, h_ref_cby1_large;
void testit() {
using Kokkos::Experimental::infinity;
int N = 25;
d_z = ViewType("d_z", N);
d_cbj1 = ViewType("d_cbj1", N);
d_cby1 = ViewType("d_cby1", N);
h_z = Kokkos::create_mirror_view(d_z);
h_cbj1 = Kokkos::create_mirror_view(d_cbj1);
h_cby1 = Kokkos::create_mirror_view(d_cby1);
h_ref_cbj1 = HostViewType("h_ref_cbj1", N);
h_ref_cby1 = HostViewType("h_ref_cby1", N);
// Generate test inputs
h_z(0) = Kokkos::complex<double>(0.0, 0.0);
// abs(z)<=25
h_z(1) = Kokkos::complex<double>(3.0, 2.0);
h_z(2) = Kokkos::complex<double>(3.0, -2.0);
h_z(3) = Kokkos::complex<double>(-3.0, 2.0);
h_z(4) = Kokkos::complex<double>(-3.0, -2.0);
h_z(5) = Kokkos::complex<double>(23.0, 10.0);
h_z(6) = Kokkos::complex<double>(23.0, -10.0);
h_z(7) = Kokkos::complex<double>(-23.0, 10.0);
h_z(8) = Kokkos::complex<double>(-23.0, -10.0);
h_z(9) = Kokkos::complex<double>(3.0, 0.0);
h_z(10) = Kokkos::complex<double>(-3.0, 0.0);
h_z(11) = Kokkos::complex<double>(23.0, 0.0);
h_z(12) = Kokkos::complex<double>(-23.0, 0.0);
// abs(z)>25
h_z(13) = Kokkos::complex<double>(28.0, 10.0);
h_z(14) = Kokkos::complex<double>(28.0, -10.0);
h_z(15) = Kokkos::complex<double>(-28.0, 10.0);
h_z(16) = Kokkos::complex<double>(-28.0, -10.0);
h_z(17) = Kokkos::complex<double>(60.0, 10.0);
h_z(18) = Kokkos::complex<double>(60.0, -10.0);
h_z(19) = Kokkos::complex<double>(-60.0, 10.0);
h_z(20) = Kokkos::complex<double>(-60.0, -10.0);
h_z(21) = Kokkos::complex<double>(28.0, 0.0);
h_z(22) = Kokkos::complex<double>(-28.0, 0.0);
h_z(23) = Kokkos::complex<double>(60.0, 0.0);
h_z(24) = Kokkos::complex<double>(-60.0, 0.0);
Kokkos::deep_copy(d_z, h_z);
// Call Bessel functions
#if (HIP_VERSION_MAJOR == 5) && (HIP_VERSION_MINOR == 4)
using Property =
Kokkos::Experimental::WorkItemProperty::ImplForceGlobalLaunch_t;
#else
using Property = Kokkos::Experimental::WorkItemProperty::None_t;
#endif
Kokkos::parallel_for(Kokkos::RangePolicy<ExecSpace, Property>(0, N), *this);
Kokkos::fence();
Kokkos::deep_copy(h_cbj1, d_cbj1);
Kokkos::deep_copy(h_cby1, d_cby1);
// Reference values computed with Octave
h_ref_cbj1(0) = Kokkos::complex<double>(0, 0);
h_ref_cbj1(1) =
Kokkos::complex<double>(7.801488485792540e-01, -1.260982060238848e+00);
h_ref_cbj1(2) =
Kokkos::complex<double>(7.801488485792540e-01, +1.260982060238848e+00);
h_ref_cbj1(3) =
Kokkos::complex<double>(-7.801488485792543e-01, -1.260982060238848e+00);
h_ref_cbj1(4) =
Kokkos::complex<double>(-7.801488485792543e-01, +1.260982060238848e+00);
h_ref_cbj1(5) =
Kokkos::complex<double>(-7.469476253429664e+02, -1.576608505254311e+03);
h_ref_cbj1(6) =
Kokkos::complex<double>(-7.469476253429664e+02, +1.576608505254311e+03);
h_ref_cbj1(7) =
Kokkos::complex<double>(7.469476253429661e+02, -1.576608505254311e+03);
h_ref_cbj1(8) =
Kokkos::complex<double>(7.469476253429661e+02, +1.576608505254311e+03);
h_ref_cbj1(9) = Kokkos::complex<double>(3.390589585259365e-01, 0);
h_ref_cbj1(10) =
Kokkos::complex<double>(-3.390589585259365e-01, +3.373499138396203e-17);
h_ref_cbj1(11) = Kokkos::complex<double>(-3.951932188370151e-02, 0);
h_ref_cbj1(12) =
Kokkos::complex<double>(3.951932188370151e-02, +7.988560221984213e-18);
h_ref_cbj1(13) =
Kokkos::complex<double>(1.233147100257312e+03, -1.027302265904111e+03);
h_ref_cbj1(14) =
Kokkos::complex<double>(1.233147100257312e+03, +1.027302265904111e+03);
h_ref_cbj1(15) =
Kokkos::complex<double>(-1.233147100257312e+03, -1.027302265904111e+03);
h_ref_cbj1(16) =
Kokkos::complex<double>(-1.233147100257312e+03, +1.027302265904111e+03);
h_ref_cbj1(17) =
Kokkos::complex<double>(4.248029136732908e+02, -1.042364939115052e+03);
h_ref_cbj1(18) =
Kokkos::complex<double>(4.248029136732908e+02, +1.042364939115052e+03);
h_ref_cbj1(19) =
Kokkos::complex<double>(-4.248029136732909e+02, -1.042364939115052e+03);
h_ref_cbj1(20) =
Kokkos::complex<double>(-4.248029136732909e+02, +1.042364939115052e+03);
h_ref_cbj1(21) = Kokkos::complex<double>(1.305514883350938e-01, 0);
h_ref_cbj1(22) =
Kokkos::complex<double>(-1.305514883350938e-01, +7.993709105806192e-18);
h_ref_cbj1(23) = Kokkos::complex<double>(4.659838375816632e-02, 0);
h_ref_cbj1(24) =
Kokkos::complex<double>(-4.659838375816632e-02, +6.322680793358811e-18);
h_ref_cby1(0) = Kokkos::complex<double>(-infinity<double>::value, 0);
h_ref_cby1(1) =
Kokkos::complex<double>(1.285849341463599e+00, +7.250812532419394e-01);
h_ref_cby1(2) =
Kokkos::complex<double>(1.285849341463599e+00, -7.250812532419394e-01);
h_ref_cby1(3) =
Kokkos::complex<double>(1.236114779014097e+00, -8.352164439165690e-01);
h_ref_cby1(4) =
Kokkos::complex<double>(1.236114779014097e+00, +8.352164439165690e-01);
h_ref_cby1(5) =
Kokkos::complex<double>(1.576608512528508e+03, -7.469476251109801e+02);
h_ref_cby1(6) =
Kokkos::complex<double>(1.576608512528508e+03, +7.469476251109801e+02);
h_ref_cby1(7) =
Kokkos::complex<double>(1.576608497980113e+03, +7.469476255749524e+02);
h_ref_cby1(8) =
Kokkos::complex<double>(1.576608497980113e+03, -7.469476255749524e+02);
h_ref_cby1(9) = Kokkos::complex<double>(3.246744247918000e-01, 0);
h_ref_cby1(10) =
Kokkos::complex<double>(-3.246744247918000e-01, -6.781179170518730e-01);
h_ref_cby1(11) = Kokkos::complex<double>(1.616692009926331e-01, 0);
h_ref_cby1(12) =
Kokkos::complex<double>(-1.616692009926332e-01, +7.903864376740302e-02);
h_ref_cby1(13) =
Kokkos::complex<double>(1.027302268200224e+03, +1.233147093992241e+03);
h_ref_cby1(14) =
Kokkos::complex<double>(1.027302268200224e+03, -1.233147093992241e+03);
h_ref_cby1(15) =
Kokkos::complex<double>(1.027302263607999e+03, -1.233147106522383e+03);
h_ref_cby1(16) =
Kokkos::complex<double>(1.027302263607999e+03, +1.233147106522383e+03);
h_ref_cby1(17) =
Kokkos::complex<double>(1.042364943073579e+03, +4.248029112344685e+02);
h_ref_cby1(18) =
Kokkos::complex<double>(1.042364943073579e+03, -4.248029112344685e+02);
h_ref_cby1(19) =
Kokkos::complex<double>(1.042364935156525e+03, -4.248029161121132e+02);
h_ref_cby1(20) =
Kokkos::complex<double>(1.042364935156525e+03, +4.248029161121132e+02);
h_ref_cby1(21) = Kokkos::complex<double>(7.552212658226459e-02, 0);
h_ref_cby1(22) =
Kokkos::complex<double>(-7.552212658226459e-02, -2.611029766701876e-01);
h_ref_cby1(23) = Kokkos::complex<double>(9.186960936986688e-02, 0);
h_ref_cby1(24) =
Kokkos::complex<double>(-9.186960936986688e-02, -9.319676751633262e-02);
for (int i = 0; i < N; i++) {
EXPECT_LE(Kokkos::abs(h_cbj1(i) - h_ref_cbj1(i)),
Kokkos::abs(h_ref_cbj1(i)) * 1e-13);
}
// FIXME_SYCL Failing for Intel GPUs
#if !(defined(KOKKOS_ENABLE_SYCL) && defined(KOKKOS_ARCH_INTEL_GPU))
EXPECT_EQ(h_ref_cby1(0), h_cby1(0));
for (int i = 1; i < N; i++) {
EXPECT_LE(Kokkos::abs(h_cby1(i) - h_ref_cby1(i)),
Kokkos::abs(h_ref_cby1(i)) * 1e-13);
}
#endif
////Test large arguments
d_z_large = ViewType("d_z_large", 6);
d_cbj1_large = ViewType("d_cbj1_large", 6);
d_cby1_large = ViewType("d_cby1_large", 6);
h_z_large = Kokkos::create_mirror_view(d_z_large);
h_cbj1_large = Kokkos::create_mirror_view(d_cbj1_large);
h_cby1_large = Kokkos::create_mirror_view(d_cby1_large);
h_ref_cbj1_large = HostViewType("h_ref_cbj1_large", 2);
h_ref_cby1_large = HostViewType("h_ref_cby1_large", 2);
h_z_large(0) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(1) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(2) = Kokkos::complex<double>(10000.0, 100.0);
h_z_large(3) = Kokkos::complex<double>(-10000.0, 100.0);
h_z_large(4) = Kokkos::complex<double>(-10000.0, 100.0);
h_z_large(5) = Kokkos::complex<double>(-10000.0, 100.0);
Kokkos::deep_copy(d_z_large, h_z_large);
Kokkos::parallel_for(
Kokkos::RangePolicy<ExecSpace, Property, TestLargeArgTag>(0, 1), *this);
Kokkos::fence();
Kokkos::deep_copy(h_cbj1_large, d_cbj1_large);
Kokkos::deep_copy(h_cby1_large, d_cby1_large);
h_ref_cbj1_large(0) =
Kokkos::complex<double>(4.854515317906369e+40, -9.562049455402486e+40);
h_ref_cbj1_large(1) =
Kokkos::complex<double>(-4.854515317906371e+40, -9.562049455402486e+40);
h_ref_cby1_large(0) =
Kokkos::complex<double>(9.562049455402486e+40, 4.854515317906369e+40);
h_ref_cby1_large(1) =
Kokkos::complex<double>(9.562049455402486e+40, -4.854515317906369e+40);
EXPECT_TRUE((Kokkos::abs(h_cbj1_large(0) - h_ref_cbj1_large(0)) <
Kokkos::abs(h_ref_cbj1_large(0)) * 1e-12) &&
(Kokkos::abs(h_cbj1_large(0) - h_ref_cbj1_large(0)) >
Kokkos::abs(h_ref_cbj1_large(0)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cbj1_large(1) - h_ref_cbj1_large(0)) >
Kokkos::abs(h_ref_cbj1_large(0)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cbj1_large(2) - h_ref_cbj1_large(0)) <
Kokkos::abs(h_ref_cbj1_large(0)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cbj1_large(3) - h_ref_cbj1_large(1)) <
Kokkos::abs(h_ref_cbj1_large(1)) * 1e-12) &&
(Kokkos::abs(h_cbj1_large(3) - h_ref_cbj1_large(1)) >
Kokkos::abs(h_ref_cbj1_large(1)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cbj1_large(4) - h_ref_cbj1_large(1)) >
Kokkos::abs(h_ref_cbj1_large(1)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cbj1_large(5) - h_ref_cbj1_large(1)) <
Kokkos::abs(h_ref_cbj1_large(1)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cby1_large(0) - h_ref_cby1_large(0)) <
Kokkos::abs(h_ref_cby1_large(0)) * 1e-12) &&
(Kokkos::abs(h_cby1_large(0) - h_ref_cby1_large(0)) >
Kokkos::abs(h_ref_cby1_large(0)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cby1_large(1) - h_ref_cby1_large(0)) >
Kokkos::abs(h_ref_cby1_large(0)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cby1_large(2) - h_ref_cby1_large(0)) <
Kokkos::abs(h_ref_cby1_large(0)) * 1e-13);
EXPECT_TRUE((Kokkos::abs(h_cby1_large(3) - h_ref_cby1_large(1)) <
Kokkos::abs(h_ref_cby1_large(1)) * 1e-12) &&
(Kokkos::abs(h_cby1_large(3) - h_ref_cby1_large(1)) >
Kokkos::abs(h_ref_cby1_large(1)) * 1e-13));
EXPECT_TRUE(Kokkos::abs(h_cby1_large(4) - h_ref_cby1_large(1)) >
Kokkos::abs(h_ref_cby1_large(1)) * 1e-6);
EXPECT_TRUE(Kokkos::abs(h_cby1_large(5) - h_ref_cby1_large(1)) <
Kokkos::abs(h_ref_cby1_large(1)) * 1e-13);
}
KOKKOS_INLINE_FUNCTION
void operator()(const int& i) const {
d_cbj1(i) = Kokkos::Experimental::cyl_bessel_j1<Kokkos::complex<double>,
double, int>(d_z(i));
d_cby1(i) = Kokkos::Experimental::cyl_bessel_y1<Kokkos::complex<double>,
double, int>(d_z(i));
}