527 lines
18 KiB
C++
527 lines
18 KiB
C++
//=============================================================================
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//
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// Copyright (c) Kitware, Inc.
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// All rights reserved.
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// See LICENSE.txt for details.
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//
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// This software is distributed WITHOUT ANY WARRANTY; without even
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// the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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// PURPOSE. See the above copyright notice for more information.
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//
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// Copyright 2012 Sandia Corporation.
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// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
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// the U.S. Government retains certain rights in this software.
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//
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//=============================================================================
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#include <vtkm/Math.h>
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#include <vtkm/TypeListTag.h>
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#include <vtkm/VecTraits.h>
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#include <vtkm/testing/Testing.h>
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//-----------------------------------------------------------------------------
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namespace {
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const vtkm::IdComponent NUM_NUMBERS = 5;
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const vtkm::Float64 NumberList[NUM_NUMBERS] = { 0.25, 0.5, 1.0, 2.0, 3.75 };
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const vtkm::Float64 NumeratorList[NUM_NUMBERS] = { 6.5, 5.8, 9.3, 77.0, 0.1 };
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const vtkm::Float64 DenominatorList[NUM_NUMBERS] = { 2.3, 1.6, 3.1, 19.0, 0.4 };
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const vtkm::Float64 FModRemainderList[NUM_NUMBERS]={ 1.9, 1.0, 0.0, 1.0, 0.1 };
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const vtkm::Float64 RemainderList[NUM_NUMBERS] = {-0.4,-0.6, 0.0, 1.0, 0.1 };
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const vtkm::Int64 QuotientList[NUM_NUMBERS] = { 3 , 4 , 3 , 4 , 0 };
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const vtkm::Float64 XList[NUM_NUMBERS] = {4.6, 0.1, 73.4, 55.0, 3.75 };
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const vtkm::Float64 FractionalList[NUM_NUMBERS] = {0.6, 0.1, 0.4, 0.0, 0.75 };
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const vtkm::Float64 FloorList[NUM_NUMBERS] = {4.0, 0.0, 73.0, 55.0, 3.0 };
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const vtkm::Float64 CeilList[NUM_NUMBERS] = {5.0, 1.0, 74.0, 55.0, 4.0 };
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const vtkm::Float64 RoundList[NUM_NUMBERS] = {5.0, 0.0, 73.0, 55.0, 4.0 };
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//-----------------------------------------------------------------------------
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template<typename T>
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void PowTest()
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{
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std::cout << "Runing power tests." << std::endl;
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for (vtkm::IdComponent index = 0; index < NUM_NUMBERS; index++)
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{
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T x = static_cast<T>(NumberList[index]);
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T powx = vtkm::Pow(x, static_cast<T>(2.0));
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T sqrx = x*x;
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VTKM_TEST_ASSERT(test_equal(powx, sqrx), "Power gave wrong result.");
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}
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}
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//-----------------------------------------------------------------------------
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template<typename VectorType, typename FunctionType>
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void RaiseToTest(FunctionType function,
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typename vtkm::VecTraits<VectorType>::ComponentType exponent)
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{
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typedef vtkm::VecTraits<VectorType> Traits;
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typedef typename Traits::ComponentType ComponentType;
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const vtkm::IdComponent NUM_COMPONENTS = Traits::NUM_COMPONENTS;
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for (vtkm::IdComponent index = 0;
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index < NUM_NUMBERS - NUM_COMPONENTS + 1;
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index++)
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{
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VectorType original;
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VectorType raiseresult;
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for (vtkm::IdComponent componentIndex = 0;
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componentIndex < NUM_COMPONENTS;
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componentIndex++)
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{
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ComponentType x =
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static_cast<ComponentType>(NumberList[componentIndex + index]);
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Traits::SetComponent(original, componentIndex, x);
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Traits::SetComponent(raiseresult, componentIndex, vtkm::Pow(x, exponent));
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}
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VectorType mathresult = function(original);
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VTKM_TEST_ASSERT(test_equal(mathresult, raiseresult),
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"Exponent functions do not agree.");
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}
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}
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template<typename VectorType> struct SqrtFunctor {
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VectorType operator()(VectorType x) const { return vtkm::Sqrt(x); }
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};
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template<typename VectorType>
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void SqrtTest()
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{
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std::cout << " Testing Sqrt" << std::endl;
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RaiseToTest<VectorType>(SqrtFunctor<VectorType>(), 0.5);
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}
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template<typename VectorType> struct RSqrtFunctor {
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VectorType operator()(VectorType x) const {return vtkm::RSqrt(x);}
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};
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template<typename VectorType>
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void RSqrtTest()
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{
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std::cout << " Testing RSqrt"<< std::endl;
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RaiseToTest<VectorType>(RSqrtFunctor<VectorType>(), -0.5);
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}
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template<typename VectorType> struct CbrtFunctor {
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VectorType operator()(VectorType x) const { return vtkm::Cbrt(x); }
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};
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template<typename VectorType>
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void CbrtTest()
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{
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std::cout << " Testing Cbrt" << std::endl;
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RaiseToTest<VectorType>(CbrtFunctor<VectorType>(), vtkm::Float32(1.0/3.0));
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}
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template<typename VectorType> struct RCbrtFunctor {
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VectorType operator()(VectorType x) const {return vtkm::RCbrt(x);}
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};
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template<typename VectorType>
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void RCbrtTest()
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{
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std::cout << " Testing RCbrt" << std::endl;
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RaiseToTest<VectorType>(RCbrtFunctor<VectorType>(), vtkm::Float32(-1.0/3.0));
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}
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//-----------------------------------------------------------------------------
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template<typename VectorType, typename FunctionType>
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void RaiseByTest(FunctionType function,
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typename vtkm::VecTraits<VectorType>::ComponentType base,
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typename vtkm::VecTraits<VectorType>::ComponentType exponentbias = 0.0,
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typename vtkm::VecTraits<VectorType>::ComponentType resultbias = 0.0)
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{
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typedef vtkm::VecTraits<VectorType> Traits;
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typedef typename Traits::ComponentType ComponentType;
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const vtkm::IdComponent NUM_COMPONENTS = Traits::NUM_COMPONENTS;
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for (vtkm::IdComponent index = 0;
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index < NUM_NUMBERS - NUM_COMPONENTS + 1;
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index++)
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{
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VectorType original;
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VectorType raiseresult;
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for (vtkm::IdComponent componentIndex = 0;
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componentIndex < NUM_COMPONENTS;
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componentIndex++)
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{
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ComponentType x =
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static_cast<ComponentType>(NumberList[componentIndex + index]);
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Traits::SetComponent(original, componentIndex, x);
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Traits::SetComponent(raiseresult,
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componentIndex,
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vtkm::Pow(base, x + exponentbias) + resultbias);
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}
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VectorType mathresult = function(original);
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VTKM_TEST_ASSERT(test_equal(mathresult, raiseresult),
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"Exponent functions do not agree.");
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}
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}
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template<typename VectorType> struct ExpFunctor {
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VectorType operator()(VectorType x) const {return vtkm::Exp(x);}
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};
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template<typename VectorType>
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void ExpTest()
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{
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std::cout << " Testing Exp" << std::endl;
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RaiseByTest<VectorType>(ExpFunctor<VectorType>(), vtkm::Float32(2.71828183));
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}
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template<typename VectorType> struct Exp2Functor {
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VectorType operator()(VectorType x) const {return vtkm::Exp2(x);}
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};
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template<typename VectorType>
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void Exp2Test()
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{
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std::cout << " Testing Exp2" << std::endl;
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RaiseByTest<VectorType>(Exp2Functor<VectorType>(), 2.0);
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}
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template<typename VectorType> struct ExpM1Functor {
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VectorType operator()(VectorType x) const {return vtkm::ExpM1(x);}
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};
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template<typename VectorType>
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void ExpM1Test()
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{
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std::cout << " Testing ExpM1" << std::endl;
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RaiseByTest<VectorType>(ExpM1Functor<VectorType>(),
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vtkm::Float32(2.71828183),
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0.0,
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-1.0);
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}
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template<typename VectorType> struct Exp10Functor {
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VectorType operator()(VectorType x) const {return vtkm::Exp10(x);}
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};
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template<typename VectorType>
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void Exp10Test()
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{
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std::cout << " Testing Exp10" << std::endl;
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RaiseByTest<VectorType>(Exp10Functor<VectorType>(), 10.0);
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}
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//-----------------------------------------------------------------------------
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void Log2Test()
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{
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std::cout << "Testing Log2" << std::endl;
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VTKM_TEST_ASSERT(test_equal(vtkm::Log2(vtkm::Float32(0.25)),
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vtkm::Float32(-2.0)),
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"Bad value from Log2");
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VTKM_TEST_ASSERT(
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test_equal(vtkm::Log2(vtkm::Vec<vtkm::Float64,4>(0.5, 1.0, 2.0, 4.0)),
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vtkm::Vec<vtkm::Float64,4>(-1.0, 0.0, 1.0, 2.0)),
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"Bad value from Log2");
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}
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template<typename VectorType, typename FunctionType>
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void LogBaseTest(FunctionType function,
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typename vtkm::VecTraits<VectorType>::ComponentType base,
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typename vtkm::VecTraits<VectorType>::ComponentType bias=0.0)
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{
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typedef vtkm::VecTraits<VectorType> Traits;
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typedef typename Traits::ComponentType ComponentType;
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const vtkm::IdComponent NUM_COMPONENTS = Traits::NUM_COMPONENTS;
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for (vtkm::IdComponent index = 0;
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index < NUM_NUMBERS - NUM_COMPONENTS + 1;
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index++)
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{
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VectorType basevector(base);
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VectorType original;
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VectorType biased;
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for (vtkm::IdComponent componentIndex = 0;
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componentIndex < NUM_COMPONENTS;
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componentIndex++)
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{
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ComponentType x =
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static_cast<ComponentType>(NumberList[componentIndex + index]);
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Traits::SetComponent(original, componentIndex, x);
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Traits::SetComponent(biased, componentIndex, x + bias);
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}
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VectorType logresult = vtkm::Log2(biased)/vtkm::Log2(basevector);
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VectorType mathresult = function(original);
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VTKM_TEST_ASSERT(test_equal(mathresult, logresult),
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"Exponent functions do not agree.");
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}
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}
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template<typename VectorType> struct LogFunctor {
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VectorType operator()(VectorType x) const {return vtkm::Log(x);}
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};
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template<typename VectorType>
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void LogTest()
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{
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std::cout << " Testing Log" << std::endl;
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LogBaseTest<VectorType>(LogFunctor<VectorType>(), vtkm::Float32(2.71828183));
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}
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template<typename VectorType> struct Log10Functor {
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VectorType operator()(VectorType x) const {return vtkm::Log10(x);}
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};
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template<typename VectorType>
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void Log10Test()
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{
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std::cout << " Testing Log10" << std::endl;
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LogBaseTest<VectorType>(Log10Functor<VectorType>(), 10.0);
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}
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template<typename VectorType> struct Log1PFunctor {
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VectorType operator()(VectorType x) const {return vtkm::Log1P(x);}
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};
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template<typename VectorType>
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void Log1PTest()
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{
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std::cout << " Testing Log1P" << std::endl;
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LogBaseTest<VectorType>(Log1PFunctor<VectorType>(),
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vtkm::Float32(2.71828183),
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1.0);
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}
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//-----------------------------------------------------------------------------
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struct TestExpFunctor
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{
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template <typename T>
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void operator()(const T&) const
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{
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SqrtTest<T>();
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RSqrtTest<T>();
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CbrtTest<T>();
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RCbrtTest<T>();
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ExpTest<T>();
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Exp2Test<T>();
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ExpM1Test<T>();
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Exp10Test<T>();
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LogTest<T>();
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Log10Test<T>();
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Log1PTest<T>();
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}
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};
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//-----------------------------------------------------------------------------
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struct TestMinMaxFunctor
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{
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template<typename T>
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void operator()(const T&) const {
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T low = TestValue(2, T());
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T high = TestValue(10, T());
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std::cout << "Testing min/max " << low << " " << high << std::endl;
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VTKM_TEST_ASSERT(test_equal(vtkm::Min(low, high), low), "Wrong min.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Min(high, low), low), "Wrong min.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Max(low, high), high), "Wrong max.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Max(high, low), high), "Wrong max.");
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}
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};
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//-----------------------------------------------------------------------------
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template<typename T>
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void TestNonFinites()
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{
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std::cout << "Testing non-finites." << std::endl;
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T zero = 0.0;
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T finite = 1.0;
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T nan = vtkm::Nan<T>();
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T inf = vtkm::Infinity<T>();
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T neginf = vtkm::NegativeInfinity<T>();
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T epsilon = vtkm::Epsilon<T>();
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// General behavior.
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VTKM_TEST_ASSERT(nan != nan, "Nan not equal itself.");
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VTKM_TEST_ASSERT(!(nan >= zero), "Nan not greater or less.");
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VTKM_TEST_ASSERT(!(nan <= zero), "Nan not greater or less.");
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VTKM_TEST_ASSERT(!(nan >= finite), "Nan not greater or less.");
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VTKM_TEST_ASSERT(!(nan <= finite), "Nan not greater or less.");
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VTKM_TEST_ASSERT(neginf < inf, "Infinity big");
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VTKM_TEST_ASSERT(zero < inf, "Infinity big");
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VTKM_TEST_ASSERT(finite < inf, "Infinity big");
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VTKM_TEST_ASSERT(zero > -inf, "-Infinity small");
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VTKM_TEST_ASSERT(finite > -inf, "-Infinity small");
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VTKM_TEST_ASSERT(zero > neginf, "-Infinity small");
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VTKM_TEST_ASSERT(finite > neginf, "-Infinity small");
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VTKM_TEST_ASSERT(zero < epsilon, "Negative epsilon");
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VTKM_TEST_ASSERT(finite > epsilon, "Large epsilon");
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// Math check functions.
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VTKM_TEST_ASSERT(!vtkm::IsNan(zero), "Bad IsNan check.");
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VTKM_TEST_ASSERT(!vtkm::IsNan(finite), "Bad IsNan check.");
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VTKM_TEST_ASSERT(vtkm::IsNan(nan), "Bad IsNan check.");
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VTKM_TEST_ASSERT(!vtkm::IsNan(inf), "Bad IsNan check.");
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VTKM_TEST_ASSERT(!vtkm::IsNan(neginf), "Bad IsNan check.");
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VTKM_TEST_ASSERT(!vtkm::IsNan(epsilon), "Bad IsNan check.");
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VTKM_TEST_ASSERT(!vtkm::IsInf(zero), "Bad infinity check.");
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VTKM_TEST_ASSERT(!vtkm::IsInf(finite), "Bad infinity check.");
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VTKM_TEST_ASSERT(!vtkm::IsInf(nan), "Bad infinity check.");
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VTKM_TEST_ASSERT(vtkm::IsInf(inf), "Bad infinity check.");
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VTKM_TEST_ASSERT(vtkm::IsInf(neginf), "Bad infinity check.");
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VTKM_TEST_ASSERT(!vtkm::IsInf(epsilon), "Bad infinity check.");
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VTKM_TEST_ASSERT(vtkm::IsFinite(zero), "Bad finite check.");
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VTKM_TEST_ASSERT(vtkm::IsFinite(finite), "Bad finite check.");
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VTKM_TEST_ASSERT(!vtkm::IsFinite(nan), "Bad finite check.");
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VTKM_TEST_ASSERT(!vtkm::IsFinite(inf), "Bad finite check.");
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VTKM_TEST_ASSERT(!vtkm::IsFinite(neginf), "Bad finite check.");
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VTKM_TEST_ASSERT(vtkm::IsFinite(epsilon), "Bad finite check.");
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}
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//-----------------------------------------------------------------------------
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template<typename T>
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void TestRemainders()
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{
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std::cout << "Testing remainders." << std::endl;
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for (vtkm::IdComponent index = 0; index < NUM_NUMBERS; index++)
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{
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T numerator = static_cast<T>(NumeratorList[index]);
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T denominator = static_cast<T>(DenominatorList[index]);
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T fmodremainder = static_cast<T>(FModRemainderList[index]);
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T remainder = static_cast<T>(RemainderList[index]);
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vtkm::Int64 quotient = QuotientList[index];
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VTKM_TEST_ASSERT(test_equal(vtkm::FMod(numerator, denominator), fmodremainder),
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"Bad FMod remainder.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Remainder(numerator, denominator), remainder),
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"Bad remainder.");
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vtkm::Int64 q;
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VTKM_TEST_ASSERT(test_equal(vtkm::RemainderQuotient(numerator, denominator, q), remainder),
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"Bad remainder-quotient remainder.");
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VTKM_TEST_ASSERT(test_equal(q, quotient),
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"Bad reminder-quotient quotient.");
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}
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}
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//-----------------------------------------------------------------------------
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template<typename T>
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void TestRound()
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{
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std::cout << "Testing round." << std::endl;
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for (vtkm::IdComponent index = 0; index < NUM_NUMBERS; index++)
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{
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T x = static_cast<T>(XList[index]);
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T fractional = static_cast<T>(FractionalList[index]);
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T floor = static_cast<T>(FloorList[index]);
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T ceil = static_cast<T>(CeilList[index]);
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T round = static_cast<T>(RoundList[index]);
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T intPart;
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VTKM_TEST_ASSERT(test_equal(vtkm::ModF(x,intPart), fractional),
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"ModF returned wrong fractional part.");
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VTKM_TEST_ASSERT(test_equal(intPart, floor),
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"ModF returned wrong integral part.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Floor(x), floor),
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"Bad floor.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Ceil(x), ceil),
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"Bad ceil.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Round(x), round),
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"Bad round.");
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}
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}
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//-----------------------------------------------------------------------------
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struct TestAbsFunctor
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{
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template<typename T>
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void operator()(const T&) const {
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std::cout << "Testing Abs." << std::endl;
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for (vtkm::Id index = 0; index < 5; index++)
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{
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T positive = TestValue(index, T()); // Assuming all TestValues positive.
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T negative = -1*positive;
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VTKM_TEST_ASSERT(test_equal(vtkm::Abs(positive), positive),
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"Abs returned wrong value.");
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VTKM_TEST_ASSERT(test_equal(vtkm::Abs(negative), positive),
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"Abs returned wrong value.");
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}
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}
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};
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struct TypeListTagAbs
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: vtkm::ListTagJoin<
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vtkm::ListTagJoin<
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vtkm::ListTagBase<vtkm::Int32, vtkm::Int64>,
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vtkm::TypeListTagIndex>,
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vtkm::TypeListTagField> { };
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template<typename T>
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void TestIsNegative()
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{
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std::cout << "Testing SignBit and IsNegative." << std::endl;
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T x = 0;
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VTKM_TEST_ASSERT(vtkm::SignBit(x) == 0, "SignBit wrong for 0.");
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VTKM_TEST_ASSERT(!vtkm::IsNegative(x), "IsNegative wrong for 0.");
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x = 20;
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VTKM_TEST_ASSERT(vtkm::SignBit(x) == 0, "SignBit wrong for 20.");
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VTKM_TEST_ASSERT(!vtkm::IsNegative(x), "IsNegative wrong for 20.");
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x = -20;
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VTKM_TEST_ASSERT(vtkm::SignBit(x) != 0, "SignBit wrong for -20.");
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VTKM_TEST_ASSERT(vtkm::IsNegative(x), "IsNegative wrong for -20.");
|
|
|
|
x = 0.02f;
|
|
VTKM_TEST_ASSERT(vtkm::SignBit(x) == 0, "SignBit wrong for 0.02.");
|
|
VTKM_TEST_ASSERT(!vtkm::IsNegative(x), "IsNegative wrong for 0.02.");
|
|
|
|
x = -0.02f;
|
|
VTKM_TEST_ASSERT(vtkm::SignBit(x) != 0, "SignBit wrong for -0.02.");
|
|
VTKM_TEST_ASSERT(vtkm::IsNegative(x), "IsNegative wrong for -0.02.");
|
|
}
|
|
|
|
struct TestCopySignFunctor
|
|
{
|
|
template<typename T>
|
|
void operator()(const T&) const {
|
|
std::cout << "Testing CopySign." << std::endl;
|
|
T positive1 = TestValue(1, T()); // Assuming all TestValues positive.
|
|
T positive2 = TestValue(2, T()); // Assuming all TestValues positive.
|
|
T negative1 = -1*positive1;
|
|
T negative2 = -1*positive2;
|
|
|
|
VTKM_TEST_ASSERT(test_equal(vtkm::CopySign(positive1, positive2), positive1),
|
|
"CopySign failed.");
|
|
VTKM_TEST_ASSERT(test_equal(vtkm::CopySign(negative1, positive2), positive1),
|
|
"CopySign failed.");
|
|
VTKM_TEST_ASSERT(test_equal(vtkm::CopySign(positive1, negative2), negative1),
|
|
"CopySign failed.");
|
|
VTKM_TEST_ASSERT(test_equal(vtkm::CopySign(negative1, negative2), negative1),
|
|
"CopySign failed.");
|
|
}
|
|
};
|
|
|
|
//-----------------------------------------------------------------------------
|
|
void RunMathTests()
|
|
{
|
|
PowTest<vtkm::Float32>();
|
|
PowTest<vtkm::Float64>();
|
|
Log2Test();
|
|
Log2Test();
|
|
vtkm::testing::Testing::TryTypes(TestExpFunctor(), vtkm::TypeListTagField());
|
|
vtkm::testing::Testing::TryTypes(TestMinMaxFunctor(), vtkm::TypeListTagScalarAll());
|
|
TestNonFinites<vtkm::Float32>();
|
|
TestNonFinites<vtkm::Float64>();
|
|
TestRemainders<vtkm::Float32>();
|
|
TestRemainders<vtkm::Float64>();
|
|
TestRound<vtkm::Float32>();
|
|
TestRound<vtkm::Float64>();
|
|
vtkm::testing::Testing::TryTypes(TestAbsFunctor(), TypeListTagAbs());
|
|
TestIsNegative<vtkm::Float32>();
|
|
TestIsNegative<vtkm::Float64>();
|
|
vtkm::testing::Testing::TryTypes(TestCopySignFunctor(), vtkm::TypeListTagField());
|
|
}
|
|
|
|
} // Anonymous namespace
|
|
|
|
//-----------------------------------------------------------------------------
|
|
int UnitTestMath(int, char *[])
|
|
{
|
|
return vtkm::testing::Testing::Run(RunMathTests);
|
|
}
|