/*
Copyright (c) 2018 - present Advanced Micro Devices, Inc. All rights reserved.

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.
*/

#include <cstdint>
#include <algorithm>

// conversion routines between float and half precision
static inline std::uint32_t f32_as_u32(float f) { union { float f; std::uint32_t u; } v; v.f = f; return v.u; }
static inline float u32_as_f32(std::uint32_t u) { union { float f; std::uint32_t u; } v; v.u = u; return v.f; }
static inline int clamp_int(int i, int l, int h) { return std::min(std::max(i, l), h); }

// half to float, the f16 is in the low 16 bits of the input argument a
static inline float __convert_half_to_float(std::uint32_t a) noexcept {
  std::uint32_t u = ((a << 13) + 0x70000000U) & 0x8fffe000U;
  std::uint32_t v = f32_as_u32(u32_as_f32(u) * 0x1.0p+112f) + 0x38000000U;
  u = (a & 0x7fff) != 0 ? v : u;
  return u32_as_f32(u) * 0x1.0p-112f;
}

// float to half with nearest even rounding
// The lower 16 bits of the result is the bit pattern for the f16
static inline std::uint32_t __convert_float_to_half(float a) noexcept {
  std::uint32_t u = f32_as_u32(a);
  int e = static_cast<int>((u >> 23) & 0xff) - 127 + 15;
  std::uint32_t m = ((u >> 11) & 0xffe) | ((u & 0xfff) != 0);
  std::uint32_t i = 0x7c00 | (m != 0 ? 0x0200 : 0);
  std::uint32_t n = ((std::uint32_t)e << 12) | m;
  std::uint32_t s = (u >> 16) & 0x8000;
  int b = clamp_int(1-e, 0, 13);
  std::uint32_t d = (0x1000 | m) >> b;
  d |= (d << b) != (0x1000 | m);
  std::uint32_t v = e < 1 ? d : n;
  v = (v >> 2) + (((v & 0x7) == 3) | ((v & 0x7) > 5));
  v = e > 30 ? 0x7c00 : v;
  v = e == 143 ? i : v;
  return s | v;
}

// On machines without fp16 instructions, clang lowers llvm.convert.from.fp16
// to call of this function.
extern "C" float __gnu_h2f_ieee(unsigned short h){
  return __convert_half_to_float((std::uint32_t) h);
}

// On machines without fp16 instructions, clang lowers llvm.convert.to.fp16
// to call of this function.
extern "C" unsigned short __gnu_f2h_ieee(float f){
  return (unsigned short)__convert_float_to_half(f);
}