derek.holloway
7502bf64a4
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1107 lines
37 KiB
C++
1107 lines
37 KiB
C++
/*
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* Copyright (c) Advanced Micro Devices, Inc., or its affiliates.
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*
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* SPDX-License-Identifier: MIT
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*/
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#include "unary_common.hh"
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#include "binary_common.hh"
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#include "special_common.hh"
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#include "math_special_func_kernels_rtc.hh"
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#include "math_reference_impl.hh"
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/**
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* @addtogroup SpecialMathFuncs SpecialMathFuncs
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* @{
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* @ingroup MathTest
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*/
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/********** Unary Functions **********/
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erff(x)` for all possible inputs and `erf(x)` against a
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* table of difficult values, followed by a large number of randomly generated values. The results
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* are compared against reference function `T std::erf(T)`. The maximum ulp error is 2.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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MATH_UNARY_WITHIN_ULP_STL_REF_TEST_DEF(erf, 2, 2)
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for erff and erf.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erf_erff_Negative_RTC) { NegativeTestRTCWrapper<4>(kErf); }
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erfcf(x)` for all possible inputs and `erfc(x)` against a
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* table of difficult values, followed by a large number of randomly generated values. The results
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* are compared against reference function `T std::erfc(T)`. The maximum ulp error for single
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* precision is 4 and for double precision is 5.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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MATH_UNARY_WITHIN_ULP_STL_REF_TEST_DEF(erfc, 4, 5)
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for erfcf and erfc.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfc_erfcf_Negative_RTC) { NegativeTestRTCWrapper<4>(kErfc); }
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MATH_UNARY_KERNEL_DEF(erfinv)
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erfinvf(x)` for all possible inputs. The results are
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* compared against reference function `double boost::math::erf_inv(double)`. The maximum ulp error
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* is 4.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfinvf_Accuracy_Positive) {
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auto erfinv_ref = [](double arg) -> double {
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if (arg == 0) return 0;
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if (arg == 1)
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return std::numeric_limits<double>::infinity();
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else if (arg == -1)
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return -std::numeric_limits<double>::infinity();
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else if (arg < -1 || arg > 1)
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return std::numeric_limits<double>::quiet_NaN();
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return math_reference::erfinv_ref(arg);
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};
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double (*ref)(double) = erfinv_ref;
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UnarySinglePrecisionTest(erfinv_kernel<float>, ref, ULPValidatorBuilderFactory<float>(4));
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}
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erfinv(x)` against a table of difficult values,
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* followed by a large number of randomly generated values. The results are
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* compared against reference function `long double boost::math::erf_inv(long double)`. The maximum
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* ulp error is 5.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfinv_Accuracy_Positive) {
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auto erfinv_ref = [](long double arg) -> long double {
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if (arg == 0) return 0;
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if (arg == 1)
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return std::numeric_limits<long double>::infinity();
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else if (arg == -1)
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return -std::numeric_limits<long double>::infinity();
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else if (arg < -1 || arg > 1)
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return std::numeric_limits<long double>::quiet_NaN();
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return math_reference::erfinv_ref(arg);
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};
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long double (*ref)(long double) = erfinv_ref;
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UnaryDoublePrecisionTest(erfinv_kernel<double>, ref, ULPValidatorBuilderFactory<double>(5));
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}
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for erfinvf and erfinv.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfinv_erfinvf_Negative_RTC) { NegativeTestRTCWrapper<4>(kErfinv); }
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MATH_UNARY_KERNEL_DEF(erfcinv)
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erfcinvf(x)` for all possible inputs. The results are
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* compared against reference function `double boost::math::erfc_inv(double)`. The maximum ulp error
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* is 4.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcinvf_Accuracy_Positive) {
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auto erfcinv_ref = [](double arg) -> double {
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if (arg == 0)
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return std::numeric_limits<double>::infinity();
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else if (arg == 2)
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return -std::numeric_limits<double>::infinity();
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else if (arg < 0 || arg > 2)
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return std::numeric_limits<double>::quiet_NaN();
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return math_reference::erfcinv_ref(arg);
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};
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double (*ref)(double) = erfcinv_ref;
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UnarySinglePrecisionTest(erfcinv_kernel<float>, ref, ULPValidatorBuilderFactory<float>(4));
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}
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `erfcinv(x)` against a table of difficult values,
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* followed by a large number of randomly generated values. The results are
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* compared against reference function `long double boost::math::erfc_inv(long double)`. The maximum
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* ulp error is 6.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcinv_Accuracy_Positive) {
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auto erfcinv_ref = [](long double arg) -> long double {
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if (arg == 0)
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return std::numeric_limits<long double>::infinity();
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else if (arg == 2)
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return -std::numeric_limits<long double>::infinity();
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else if (arg < 0 || arg > 2)
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return std::numeric_limits<long double>::quiet_NaN();
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return math_reference::erfcinv_ref(arg);
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};
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long double (*ref)(long double) = erfcinv_ref;
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UnaryDoublePrecisionTest(erfcinv_kernel<double>, ref, ULPValidatorBuilderFactory<double>(6));
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}
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for erfcinvf and erfcinv.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcinv_erfcinvf_Negative_RTC) { NegativeTestRTCWrapper<4>(kErfcinv); }
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MATH_UNARY_KERNEL_DEF(erfcx)
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/**
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* Test Description
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* ------------------------
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* - Sanity test for `erfcxf(x)`.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcxf_Sanity_Positive) {
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constexpr std::array<float, 11> input{-std::numeric_limits<float>::infinity(),
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-1000.f,
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-100.f,
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-5.f,
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-0.5f,
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0.,
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0.75f,
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15.f,
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200.f,
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500.f,
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std::numeric_limits<float>::infinity()};
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constexpr std::array<float, 11> reference{std::numeric_limits<float>::infinity(),
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std::numeric_limits<float>::infinity(),
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std::numeric_limits<float>::infinity(),
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1.44009806e11f,
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1.95236027f,
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1.0f,
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5.06937683e-1f,
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3.75296101e-2f,
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2.82091252e-3f,
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1.12837693e-3f,
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0.f};
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SpecialSimpleTest<float>(erfcx_kernel<float>, ULPValidatorBuilderFactory<float>(4), input.data(),
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reference.data(), input.size());
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}
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/**
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* Test Description
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* ------------------------
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* - Sanity test for `erfcx(x)`.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcx_Sanity_Positive) {
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constexpr std::array<double, 11> input{
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-std::numeric_limits<double>::infinity(), -1000., -100., -5., -0.5, 0., 0.75, 15., 200., 500.,
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std::numeric_limits<double>::infinity()};
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constexpr std::array<double, 11> reference{std::numeric_limits<double>::infinity(),
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std::numeric_limits<double>::infinity(),
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std::numeric_limits<double>::infinity(),
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1.4400979867466104e11,
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1.9523604891825568,
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1.0,
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5.0693765029314475e-1,
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3.7529606388505762e-2,
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2.8209126572120466e-3,
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1.1283769103507188e-3,
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0.};
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SpecialSimpleTest<double>(erfcx_kernel<double>, ULPValidatorBuilderFactory<double>(4),
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input.data(), reference.data(), input.size());
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}
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for erfcxf and erfcx.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_erfcx_erfcxf_Negative_RTC) { NegativeTestRTCWrapper<4>(kErfcx); }
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MATH_UNARY_KERNEL_DEF(normcdf)
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `normcdff(x)` for all possible inputs. The maximum ulp error
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* is 5.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdff_Accuracy_Positive) {
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auto normcdf_ref = [](double arg) -> double { return std::erfc(-arg / std::sqrt(2)) / 2; };
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double (*ref)(double) = normcdf_ref;
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UnarySinglePrecisionTest(normcdf_kernel<float>, ref, ULPValidatorBuilderFactory<float>(5));
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}
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/**
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* Test Description
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* ------------------------
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* - Tests the numerical accuracy of `normcdf(x)` against a table of difficult values,
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* followed by a large number of randomly generated values. The maximum ulp error is 5.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdf_Accuracy_Positive) {
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auto normcdf_ref = [](long double arg) -> long double {
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return std::erfc(-arg / std::sqrt(2.L)) / 2;
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};
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long double (*ref)(long double) = normcdf_ref;
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UnaryDoublePrecisionTest(normcdf_kernel<double>, ref, ULPValidatorBuilderFactory<double>(5));
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}
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/**
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* Test Description
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* ------------------------
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* - RTCs kernels that pass argument of invalid type for normcdff and normcdf.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdf_normcdff_Negative_RTC) { NegativeTestRTCWrapper<4>(kNormcdf); }
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MATH_UNARY_KERNEL_DEF(normcdfinv)
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/**
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* Test Description
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* ------------------------
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* - Sanity test for `normcdfinvf(x)`.
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*
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* Test source
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* ------------------------
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdfinvf_Sanity_Positive) {
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constexpr std::array<float, 9> input{0.f, 0.1f, 0.25f, 0.4f, 0.5f, 0.6f, 0.75f, 0.9f, 1.f};
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constexpr std::array<float, 9> reference{-std::numeric_limits<float>::infinity(),
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-1.28155160f,
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-0.674489737f,
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-0.253347069f,
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0,
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0.253347158f,
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0.674489737f,
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1.28155148f,
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std::numeric_limits<float>::infinity()};
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SpecialSimpleTest<float>(normcdfinv_kernel<float>, ULPValidatorBuilderFactory<float>(5),
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input.data(), reference.data(), input.size());
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}
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/**
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* Test Description
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* ------------------------
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* - Sanity test for `normcdfinv(x)`.
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*
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* Test source
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* ------------------------
|
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* - unit/math/special_funcs.cc
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* Test requirements
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* ------------------------
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdfinv_Sanity_Positive) {
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constexpr std::array<double, 9> input{0., 0.1, 0.25, 0.4, 0.5, 0.6, 0.75, 0.9, 1.};
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constexpr std::array<double, 9> reference{-std::numeric_limits<float>::infinity(),
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-1.2815515655446004,
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-0.67448975019608159,
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-0.25334710313579972,
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0,
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0.25334710313579972,
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0.67448975019608159,
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1.2815515655446006,
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std::numeric_limits<float>::infinity()};
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SpecialSimpleTest<double>(normcdfinv_kernel<double>, ULPValidatorBuilderFactory<double>(5),
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input.data(), reference.data(), input.size());
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}
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/**
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* Test Description
|
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* ------------------------
|
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* - RTCs kernels that pass argument of invalid type for normcdfinvf and normcdfinv.
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*
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* Test source
|
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* ------------------------
|
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* - unit/math/special_funcs.cc
|
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* Test requirements
|
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* ------------------------
|
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* - HIP_VERSION >= 5.2
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*/
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HIP_TEST_CASE(Unit_Device_normcdfinv_normcdfinvf_Negative_RTC) {
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NegativeTestRTCWrapper<4>(kNormcdfinv);
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}
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MATH_UNARY_KERNEL_DEF(tgamma)
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/**
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* Test Description
|
|
* ------------------------
|
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* - Tests the numerical accuracy of `tgammaf(x)` for all possible inputs below 171.7 and that
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* are not very small negative numbers, as they lead to overflow for IEEE compatible double. The
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* results are compared against reference function `double std::tgamma(double)`. The maximum ulp
|
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* error is 5.
|
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*
|
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* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_tgammaf_Accuracy_Limited_Positive) {
|
|
double (*ref)(double) = std::tgamma;
|
|
UnarySinglePrecisionRangeTest(tgamma_kernel<float>, ref, ULPValidatorBuilderFactory<float>(5),
|
|
std::numeric_limits<float>::lowest(), -0.001f);
|
|
UnarySinglePrecisionRangeTest(tgamma_kernel<float>, ref, ULPValidatorBuilderFactory<float>(5), 0,
|
|
171.7);
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `tgamma(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are
|
|
* compared against reference function `long double std::tgamma(long double)`. The maximum ulp error
|
|
* is 10.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_tgamma_Accuracy_Limited_Positive) {
|
|
long double (*ref)(long double) = std::tgamma;
|
|
UnaryDoublePrecisionTest(tgamma_kernel<double>, ref, ULPValidatorBuilderFactory<double>(10));
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for tgammaf and tgamma.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_tgamma_tgammaf_Negative_RTC) { NegativeTestRTCWrapper<4>(kTgamma); }
|
|
|
|
MATH_UNARY_KERNEL_DEF(lgamma)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `lgammaf(x)` for all possible inputs. The results are
|
|
* compared against reference function `double std::lgamma(double)`. For `x` outside interval
|
|
* -11.0001 … -2.2637, the maximum ulp error is 4, and larger otherwise.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_lgammaf_Accuracy_Limited_Positive) {
|
|
double (*ref)(double) = std::lgamma;
|
|
UnarySinglePrecisionRangeTest(lgamma_kernel<float>, ref, ULPValidatorBuilderFactory<float>(7),
|
|
std::numeric_limits<float>::lowest(), -11.0001f);
|
|
UnarySinglePrecisionRangeTest(lgamma_kernel<float>, ref, ULPValidatorBuilderFactory<float>(7),
|
|
-2.2636f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `lgamma(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are compared against
|
|
* reference function `long double std::lgamma(long double)`. For `x` outside interval -11.0001 …
|
|
* -2.2637, the maximum ulp error is 4, and larger otherwise.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_lgamma_Accuracy_Limited_Positive) {
|
|
long double (*ref)(long double) = std::lgamma;
|
|
UnaryDoublePrecisionBruteForceTest(lgamma_kernel<double>, ref,
|
|
ULPValidatorBuilderFactory<double>(4),
|
|
std::numeric_limits<double>::lowest(), -11.0001);
|
|
UnaryDoublePrecisionBruteForceTest(lgamma_kernel<double>, ref,
|
|
ULPValidatorBuilderFactory<double>(4), -2.2636,
|
|
std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for lgammaf and lgamma.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_lgamma_lgammaf_Negative_RTC) { NegativeTestRTCWrapper<4>(kLgamma); }
|
|
|
|
MATH_UNARY_KERNEL_DEF(cyl_bessel_i0)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `cyl_bessel_i0f(x)` for all possible inputs in range [0,
|
|
* 10000). The results are compared against reference function `double std::cyl_bessel_i(0,
|
|
* double)`. The maximum ulp error is 6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i0f_Accuracy_Limited_Positive) {
|
|
auto cyl_bessel_i0_ref = [](double arg) -> double { return std::cyl_bessel_i(0, arg); };
|
|
double (*ref)(double) = cyl_bessel_i0_ref;
|
|
UnarySinglePrecisionRangeTest(cyl_bessel_i0_kernel<float>, ref,
|
|
ULPValidatorBuilderFactory<float>(6), 0, 10000);
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `cyl_bessel_i0(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values from range [0, 10000). The results are
|
|
* compared against reference function `long double std::cyl_bessel_i(0, long double)`. The maximum
|
|
* ulp error is 6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i0_Accuracy_Limited_Positive) {
|
|
auto cyl_bessel_i0_ref = [](long double arg) -> long double { return std::cyl_bessel_i(0, arg); };
|
|
long double (*ref)(long double) = cyl_bessel_i0_ref;
|
|
UnaryDoublePrecisionBruteForceTest(cyl_bessel_i0_kernel<double>, ref,
|
|
ULPValidatorBuilderFactory<double>(6), 0, 10000);
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for cyl_bessel_i0f and cyl_bessel_i0.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i0_cyl_bessel_i0f_Negative_RTC) {
|
|
NegativeTestRTCWrapper<4>(kCylBesselI0);
|
|
}
|
|
|
|
MATH_UNARY_KERNEL_DEF(cyl_bessel_i1)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `cyl_bessel_i1f(x)` for all possible inputs in range [0,
|
|
* 10000). The results are compared against reference function `double std::cyl_bessel_i(1,
|
|
* double)`. The maximum ulp error is 6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i1f_Accuracy_Limited_Positive) {
|
|
auto cyl_bessel_i1_ref = [](double arg) -> double { return std::cyl_bessel_i(1, arg); };
|
|
double (*ref)(double) = cyl_bessel_i1_ref;
|
|
UnarySinglePrecisionRangeTest(cyl_bessel_i1_kernel<float>, ref,
|
|
ULPValidatorBuilderFactory<float>(6), 0, 10000);
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `cyl_bessel_i1(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values from range [0, 10000). The results are
|
|
* compared against reference function `long double std::cyl_bessel_i(1, long double)`. The maximum
|
|
* ulp error is 6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i1_Accuracy_Limited_Positive) {
|
|
auto cyl_bessel_i1_ref = [](long double arg) -> long double { return std::cyl_bessel_i(1, arg); };
|
|
long double (*ref)(long double) = cyl_bessel_i1_ref;
|
|
UnaryDoublePrecisionBruteForceTest(cyl_bessel_i1_kernel<double>, ref,
|
|
ULPValidatorBuilderFactory<double>(6), 0, 10000);
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for cyl_bessel_i1f and cyl_bessel_i1.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_cyl_bessel_i1_cyl_bessel_i1f_Negative_RTC) {
|
|
NegativeTestRTCWrapper<4>(kCylBesselI1);
|
|
}
|
|
|
|
/********** Bessel Functions **********/
|
|
|
|
MATH_UNARY_KERNEL_DEF(y0)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `y0f(x)` for all possible inputs. The results are
|
|
* compared against reference function `double y0(double)`. For `x` outside [-8, 8], the maximum
|
|
* absolute error is 2.2x10^-6, otherwise, the maximum ulp error is 9.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y0f_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(double) = y0;
|
|
#elif _WIN64
|
|
double (*ref)(double) = _y0;
|
|
#endif
|
|
UnarySinglePrecisionRangeTest(y0_kernel<float>, ref, ULPValidatorBuilderFactory<float>(9), -8.f,
|
|
8.f);
|
|
UnarySinglePrecisionRangeTest(y0_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
8.f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `y0(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are
|
|
* compared against reference function `long double y0l(long double)`. The maximum absolute error is
|
|
* 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y0_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(long double) = y0l;
|
|
#elif _WIN64
|
|
long double (*ref)(long double) = _y0l;
|
|
#endif
|
|
UnaryDoublePrecisionBruteForceTest(y0_kernel<double>, ref,
|
|
AbsValidatorBuilderFactory<float>(5.e-12), -8.,
|
|
std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for y0f and y0.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y0_y0f_Negative_RTC) { NegativeTestRTCWrapper<4>(kY0); }
|
|
|
|
MATH_UNARY_KERNEL_DEF(y1)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `y1f(x)` for all possible inputs. The results are
|
|
* compared against reference function `double y1(double)`. For `x` outside [-8, 8], the maximum
|
|
* absolute error is 2.2x10^-6, otherwise, the maximum ulp error is 9.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y1f_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(double) = y1;
|
|
#elif _WIN64
|
|
double (*ref)(double) = _y1;
|
|
#endif
|
|
UnarySinglePrecisionRangeTest(y1_kernel<float>, ref, ULPValidatorBuilderFactory<float>(9), -8.f,
|
|
8.f);
|
|
UnarySinglePrecisionRangeTest(y1_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
8.f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `y1(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are
|
|
* compared against reference function `long double y1l(long double)`. The maximum absolute error is
|
|
* 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y1_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(long double) = y1l;
|
|
#elif _WIN64
|
|
long double (*ref)(long double) = _y1l;
|
|
#endif
|
|
UnaryDoublePrecisionBruteForceTest(y1_kernel<double>, ref,
|
|
AbsValidatorBuilderFactory<float>(5.e-12), -8.,
|
|
std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for y1f and y1.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_y1_y1f_Negative_RTC) { NegativeTestRTCWrapper<4>(kY1); }
|
|
|
|
MATH_BESSEL_N_KERNEL_DEF(yn)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `ynf(x)` for all possible inputs and n equal to 5, 25 or
|
|
* 120. The results are compared against reference function `double yn(int, double)`. For `x` larger
|
|
* than n, the maximum absolute error is 2.2x10^-6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_ynf_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(int, double) = yn;
|
|
#elif _WIN64
|
|
double (*ref)(int, double) = _yn;
|
|
#endif
|
|
int n = GENERATE(5, 25, 120);
|
|
BesselSinglePrecisionRangeTest(yn_kernel, ref, AbsValidatorBuilderFactory<float>(0.0000022), n, n,
|
|
std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `yn(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values from range and n equal to 5, 25, or 120.
|
|
* The results are compared against reference function `long double ynl(int, long double)`. For `x`
|
|
* larger than 1.5n, the maximum absolute error is 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_yn_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(int, long double) = ynl;
|
|
#elif _WIN64
|
|
long double (*ref)(int, long double) = _ynl;
|
|
#endif
|
|
int n = GENERATE(5, 25, 120);
|
|
BesselDoublePrecisionBruteForceTest(yn_kernel<double>, ref,
|
|
AbsValidatorBuilderFactory<double>(5.e-12), n, 1.5 * n,
|
|
std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for ynf and yn.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_yn_ynf_Negative_RTC) { NegativeTestRTCWrapper<8>(kYn); }
|
|
|
|
MATH_UNARY_KERNEL_DEF(j0)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `j0f(x)` for all possible inputs. The results are
|
|
* compared against reference function `double j0(double)`. For `x` outside [-8, 8], the maximum
|
|
* absolute error is 2.2x10^-6, otherwise, the maximum ulp error is 9.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j0f_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(double) = j0;
|
|
#elif _WIN64
|
|
double (*ref)(double) = _j0;
|
|
#endif
|
|
UnarySinglePrecisionRangeTest(j0_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
std::numeric_limits<float>::lowest(), -8.f);
|
|
UnarySinglePrecisionRangeTest(j0_kernel<float>, ref, ULPValidatorBuilderFactory<float>(9), -8.f,
|
|
8.f);
|
|
UnarySinglePrecisionRangeTest(j0_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
8.f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `j0(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are
|
|
* compared against reference function `long double j0l(long double)`. The maximum absolute error is
|
|
* 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j0_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(long double) = j0l;
|
|
#elif _WIN64
|
|
long double (*ref)(long double) = _j0l;
|
|
#endif
|
|
UnaryDoublePrecisionBruteForceTest(
|
|
j0_kernel<double>, ref, AbsValidatorBuilderFactory<float>(5.e-12),
|
|
std::numeric_limits<double>::lowest(), std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for j0f and j0.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j0_j0f_Negative_RTC) { NegativeTestRTCWrapper<4>(kJ0); }
|
|
|
|
MATH_UNARY_KERNEL_DEF(j1)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `j1f(x)` for all possible inputs. The results are
|
|
* compared against reference function `double j1(double)`. For `x` outside [-8, 8], the maximum
|
|
* absolute error is 2.2x10^-6, otherwise, the maximum ulp error is 9.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j1f_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(double) = j1;
|
|
#elif _WIN64
|
|
double (*ref)(double) = _j1;
|
|
#endif
|
|
UnarySinglePrecisionRangeTest(j1_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
std::numeric_limits<float>::lowest(), -8.f);
|
|
UnarySinglePrecisionRangeTest(j1_kernel<float>, ref, ULPValidatorBuilderFactory<float>(9), -8.f,
|
|
8.f);
|
|
UnarySinglePrecisionRangeTest(j1_kernel<float>, ref, AbsValidatorBuilderFactory<float>(0.0000022),
|
|
8.f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `j1(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values. The results are
|
|
* compared against reference function `long double j1l(long double)`. The maximum absolute error is
|
|
* 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j1_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(long double) = j1l;
|
|
#elif _WIN64
|
|
long double (*ref)(long double) = _j1l;
|
|
#endif
|
|
UnaryDoublePrecisionBruteForceTest(
|
|
j1_kernel<double>, ref, AbsValidatorBuilderFactory<double>(5.e-12),
|
|
std::numeric_limits<double>::lowest(), std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for j1f and j1.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_j1_j1f_Negative_RTC) { NegativeTestRTCWrapper<4>(kJ1); }
|
|
|
|
MATH_BESSEL_N_KERNEL_DEF(jn)
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `jnf(x)` for all possible inputs and n equal to 5, 25 or
|
|
* 120. The results are compared against reference function `double jn(int, double)`. For `x` larger
|
|
* than n, the maximum absolute error is 2.2x10^-6.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_jnf_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
double (*ref)(int, double) = jn;
|
|
#elif _WIN64
|
|
double (*ref)(int, double) = _jn;
|
|
#endif
|
|
int n = GENERATE(5, 25, 120);
|
|
BesselSinglePrecisionRangeTest(jn_kernel, ref, AbsValidatorBuilderFactory<float>(0.0000022), n, n,
|
|
std::numeric_limits<float>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - Tests the numerical accuracy of `jn(x)` against a table of difficult values,
|
|
* followed by a large number of randomly generated values from range and n equal to 5, 25, or 120.
|
|
* The results are compared against reference function `long double jnl(int, long double)`. The
|
|
* maximum absolute error is 5x10^-12.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_jn_Accuracy_Limited_Positive) {
|
|
#ifdef __unix__
|
|
long double (*ref)(int, long double) = jnl;
|
|
#elif _WIN64
|
|
long double (*ref)(int, long double) = _jnl;
|
|
#endif
|
|
int n = GENERATE(5, 25, 120);
|
|
BesselDoublePrecisionBruteForceTest(
|
|
jn_kernel<double>, ref, AbsValidatorBuilderFactory<double>(5.e-12), n,
|
|
std::numeric_limits<double>::lowest(), std::numeric_limits<double>::max());
|
|
}
|
|
|
|
/**
|
|
* Test Description
|
|
* ------------------------
|
|
* - RTCs kernels that pass argument of invalid type for jnf and jn.
|
|
*
|
|
* Test source
|
|
* ------------------------
|
|
* - unit/math/special_funcs.cc
|
|
* Test requirements
|
|
* ------------------------
|
|
* - HIP_VERSION >= 5.2
|
|
*/
|
|
HIP_TEST_CASE(Unit_Device_jn_jnf_Negative_RTC) { NegativeTestRTCWrapper<8>(kJn); }
|
|
|
|
/**
|
|
* End doxygen group MathTest.
|
|
* @}
|
|
*/
|