/* ************************************************************************
 * Copyright (c) 2019 Advanced Micro Devices, Inc.
 *
 * 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, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 *
 * ************************************************************************ */

#pragma once
#ifndef ROCSPARSE_MATH_HPP
#define ROCSPARSE_MATH_HPP

#include <cmath>
#include <rocsparse.h>

/* =================================================================================== */
/*! \brief  returns true if value is NaN */
template <typename T>
inline bool rocsparse_isnan(T arg)
{
    return std::isnan(arg);
}

template <>
inline bool rocsparse_isnan(rocsparse_float_complex arg)
{
    return std::isnan(std::real(arg)) || std::isnan(std::imag(arg));
}

template <>
inline bool rocsparse_isnan(rocsparse_double_complex arg)
{
    return std::isnan(std::real(arg)) || std::isnan(std::imag(arg));
}

/* =================================================================================== */
/*! \brief  returns true if value is inf */
template <typename T>
inline bool rocsparse_isinf(T arg)
{
    return std::isinf(arg);
}

template <>
inline bool rocsparse_isinf(rocsparse_float_complex arg)
{
    return std::isinf(std::real(arg)) || std::isinf(std::imag(arg));
}

template <>
inline bool rocsparse_isinf(rocsparse_double_complex arg)
{
    return std::isinf(std::real(arg)) || std::isinf(std::imag(arg));
}

/* =================================================================================== */
/*! \brief  computes fused multiply add */
template <typename T>
inline T math_fma(T p, T q, T r)
{
    return std::fma(p, q, r);
}

template <>
inline rocsparse_float_complex
    math_fma(rocsparse_float_complex p, rocsparse_float_complex q, rocsparse_float_complex r)
{
    return fma(p, q, r);
}

template <>
inline rocsparse_double_complex
    math_fma(rocsparse_double_complex p, rocsparse_double_complex q, rocsparse_double_complex r)
{
    return fma(p, q, r);
}

/* =================================================================================== */
/*! \brief inject fma for rocsparse complex types into namespace std */
namespace std
{
    template <class T>
    inline rocsparse_complex_num<T> conj(const rocsparse_complex_num<T>& z)
    {
        return rocsparse_complex_num<T>(std::real(z), -std::imag(z));
    }

    template <class T>
    inline T abs(const rocsparse_complex_num<T>& z)
    {
        T tr = abs(std::real(z));
        T ti = abs(std::imag(z));

        return (tr > ti) ? (ti /= tr, tr * sqrt(ti * ti + 1)) : (tr /= ti, ti * sqrt(tr * tr + 1));
    }
}

#endif // ROCSPARSE_MATH_HPP