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/***************************************************************************************************

 * Copyright (c) 2023 - 2024 NVIDIA CORPORATION & AFFILIATES. All rights reserved.

 * SPDX-License-Identifier: BSD-3-Clause

 *

 * Redistribution and use in source and binary forms, with or without

 * modification, are permitted provided that the following conditions are met:

 *

 * 1. Redistributions of source code must retain the above copyright notice, this

 * list of conditions and the following disclaimer.

 *

 * 2. Redistributions in binary form must reproduce the above copyright notice,

 * this list of conditions and the following disclaimer in the documentation

 * and/or other materials provided with the distribution.

 *

 * 3. Neither the name of the copyright holder nor the names of its

 * contributors may be used to endorse or promote products derived from

 * this software without specific prior written permission.

 *

 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"

 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE

 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE

 * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE

 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL

 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR

 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER

 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,

 * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE

 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

 *

 **************************************************************************************************/
#pragma once

#include <cutlass/complex.h>
#include <cute/util/type_traits.hpp>
#include <cute/numeric/numeric_types.hpp>

namespace cute
{

using cutlass::complex;
using cutlass::is_complex;
using cutlass::RealType;
using cutlass::real;
using cutlass::imag;
using cutlass::conj;

template <class T>
static constexpr auto is_complex_v = is_complex<T>::value;

/// Fused multiply-add for complex numbers
template <class T>
CUTE_HOST_DEVICE constexpr

void

fma(complex<T>      & d,

    complex<T> const& a,

    complex<T> const& b,

    complex<T> const& c)

{
  fma(d.real(),  a.real(), b.real(), c.real());
  fma(d.imag(),  a.real(), b.imag(), c.imag());
  fma(d.real(), -a.imag(), b.imag(), d.real());
  fma(d.imag(),  a.imag(), b.real(), d.imag());
}

/// Fused multiply-add for triplets
template <class T>
CUTE_HOST_DEVICE constexpr

void

fma(complex<T> const& a,

    complex<T> const& b,

    complex<T>      & c)

{
  return fma(c, a, b, c);
}

} // end namespace cute