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#pragma once

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

namespace cute
{

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

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