TestVmathSIMD.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: TestVmathSIMD.cpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// Description:
//
///////////////////////////////////////////////////////////////////////////////
 
#include <LibUtilities/BasicUtils/VmathSIMD.hpp>
#include <array>
 
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/test/unit_test.hpp>
 
namespace Nektar::VmathSIMDUnitTests
{
BOOST_AUTO_TEST_CASE(TestVadd)
{
    using dataType     = double;
    constexpr size_t n = 31;
    alignas(tinysimd::simd<dataType>::alignment) std::array<dataType, n> x, y,
        z;
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = 1.0;
        y[i] = 1.0;
    }
    // test z = x + y
    Vmath::SIMD::Vadd(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 2.0, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = 2.0;
        y[i] = 0.0;
    }
    // test z = x + y
    Vmath::SIMD::Vadd(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 2.0, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = 0.0;
        y[i] = -2.0;
    }
    // test z = x + y
    Vmath::SIMD::Vadd(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], -2.0, epsilon);
    }
}
 
BOOST_AUTO_TEST_CASE(TestVmul)
{
    using dataType     = double;
    constexpr size_t n = 31;
    alignas(tinysimd::simd<dataType>::alignment) std::array<dataType, n> x, y,
        z;
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = 1.0;
        y[i] = i;
    }
    // test z = x + y
    Vmath::SIMD::Vmul(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], i, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = 2.0;
        y[i] = 0.0;
    }
    // test z = x + y
    Vmath::SIMD::Vmul(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 0.0, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = -1.0;
        y[i] = 2.0;
    }
    // test z = x + y
    Vmath::SIMD::Vmul(n, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], -2.0, epsilon);
    }
}
 
BOOST_AUTO_TEST_CASE(TestVvtvp)
{
    using dataType     = double;
    constexpr size_t n = 11;
    alignas(tinysimd::simd<dataType>::alignment) std::array<dataType, n> w, x,
        y, z;
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        w[i] = 1.0;
        x[i] = 1.0;
        y[i] = 1.0;
    }
    // test z = w * x + y
    Vmath::SIMD::Vvtvp(n, w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 2.0, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        w[i] = 0.0;
        x[i] = 1.5;
        y[i] = 0.5;
    }
    // test z = w * x + y
    Vmath::SIMD::Vvtvp(n, w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 0.5, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        w[i] = 1.0;
        x[i] = 0.5;
        y[i] = 0.0;
    }
    // test z = w * x + y
    Vmath::SIMD::Vvtvp(n, w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 0.5, epsilon);
    }
}
 
BOOST_AUTO_TEST_CASE(TestVvtvvtp)
{
    using dataType     = double;
    constexpr size_t n = 11;
    alignas(tinysimd::simd<dataType>::alignment) std::array<dataType, n> v, w,
        x, y, z;
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        v[i] = 1.0;
        w[i] = 1.0;
        x[i] = 1.0;
        y[i] = 1.0;
    }
    // test z = v * w + y * z;
    Vmath::SIMD::Vvtvvtp(n, v.data(), w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 2.0, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        v[i] = 1.0;
        w[i] = 0.0;
        x[i] = 0.5;
        y[i] = 1.0;
    }
    // test z = v * w + y * z;
    Vmath::SIMD::Vvtvvtp(n, v.data(), w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 0.5, epsilon);
    }
 
    // ---------------------------------------------------------------------
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        v[i] = 0.5;
        w[i] = 1.0;
        x[i] = 0.0;
        y[i] = 1.0;
    }
    // test z = v * w + y * z;
    Vmath::SIMD::Vvtvvtp(n, v.data(), w.data(), x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < n; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], 0.5, epsilon);
    }
}
 
BOOST_AUTO_TEST_CASE(TestGathrSizet)
{
    using dataType     = double;
    constexpr size_t n = 11;
    std::array<dataType, n> x;
    constexpr size_t ni = 5;
    std::array<size_t, ni> y;
    std::array<dataType, ni> z;
 
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = i;
    }
 
    y[0] = 0;
    y[1] = 3;
    y[2] = 4;
    y[3] = 7;
    y[4] = 10;
 
    // test z = x[y]
    Vmath::SIMD::Gathr(ni, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < ni; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], x[y[i]], epsilon);
    }
}
 
BOOST_AUTO_TEST_CASE(TestGathrInt)
{
    using dataType     = double;
    constexpr size_t n = 30;
    std::array<dataType, n> x;
    constexpr int ni = 13;
    std::array<int, ni> y;
    std::array<dataType, ni> z;
 
    dataType epsilon = std::numeric_limits<dataType>::epsilon();
 
    // init
    for (size_t i = 0; i < n; ++i)
    {
        x[i] = i;
    }
 
    y[0]  = 0;
    y[1]  = 3;
    y[2]  = 4;
    y[3]  = 7;
    y[4]  = 10;
    y[5]  = 11;
    y[6]  = 12;
    y[7]  = 15;
    y[8]  = 16;
    y[9]  = 20;
    y[10] = 21;
    y[11] = 22;
    y[12] = 27;
 
    // test z = x[y]
    Vmath::SIMD::Gathr(ni, x.data(), y.data(), z.data());
 
    for (size_t i = 0; i < ni; ++i)
    {
        BOOST_CHECK_CLOSE(z[i], x[y[i]], epsilon);
    }
}
 
} // namespace Nektar::VmathSIMDUnitTests