/* fp16.c * * Copyright 2021 Red Hat, Inc. * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2.1 of the License, or (at your option) any later version. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program. If not, see . * * SPDX-License-Identifier: LGPL-2.1-or-later */ #include "config.h" #include "fp16private.h" static inline guint as_uint (const float x) { return *(guint*)&x; } static inline float as_float (const guint x) { return *(float*)&x; } // IEEE-754 16-bit floating-point format (without infinity): 1-5-10 static inline float half_to_float (const guint16 x) { const guint e = (x&0x7C00)>>10; // exponent const guint m = (x&0x03FF)<<13; // mantissa const guint v = as_uint((float)m)>>23; return as_float((x&0x8000)<<16 | (e!=0)*((e+112)<<23|m) | ((e==0)&(m!=0))*((v-37)<<23|((m<<(150-v))&0x007FE000))); } static inline guint16 float_to_half (const float x) { const guint b = as_uint(x)+0x00001000; // round-to-nearest-even const guint e = (b&0x7F800000)>>23; // exponent const guint m = b&0x007FFFFF; // mantissa return (b&0x80000000)>>16 | (e>112)*((((e-112)<<10)&0x7C00)|m>>13) | ((e<113)&(e>101))*((((0x007FF000+m)>>(125-e))+1)>>1) | (e>143)*0x7FFF; // sign : normalized : denormalized : saturate } static void float_to_half4_c (const float f[4], guint16 h[4]) { h[0] = float_to_half (f[0]); h[1] = float_to_half (f[1]); h[2] = float_to_half (f[2]); h[3] = float_to_half (f[3]); } static void half_to_float4_c (const guint16 h[4], float f[4]) { f[0] = half_to_float (h[0]); f[1] = half_to_float (h[1]); f[2] = half_to_float (h[2]); f[3] = half_to_float (h[3]); } #ifdef HAVE_F16C #if defined(_MSC_VER) && !defined(__clang__) /* based on info from https://walbourn.github.io/directxmath-f16c-and-fma/ */ static gboolean have_f16c_msvc (void) { static gboolean result = FALSE; static gsize inited = 0; if (g_once_init_enter (&inited)) { int cpuinfo[4] = { -1 }; __cpuid (cpuinfo, 0); if (cpuinfo[0] > 0) { __cpuid (cpuinfo, 1); if ((cpuinfo[2] & 0x8000000) != 0) result = (cpuinfo[2] & 0x20000000) != 0; } g_once_init_leave (&inited, 1); } return result; } void float_to_half4 (const float f[4], guint16 h[4]) { if (have_f16c_msvc ()) float_to_half4_f16c (f, h); else float_to_half4_c (f, h); } void half_to_float4 (const guint16 h[4], float f[4]) { if (have_f16c_msvc ()) half_to_float4_f16c (h, f); else half_to_float4_c (h, f); } #else void float_to_half4 (const float f[4], guint16 h[4]) __attribute__((ifunc ("resolve_float_to_half4"))); void half_to_float4 (const guint16 h[4], float f[4]) __attribute__((ifunc ("resolve_half_to_float4"))); static void * resolve_float_to_half4 (void) { __builtin_cpu_init (); if (__builtin_cpu_supports ("f16c")) return float_to_half4_f16c; else return float_to_half4_c; } static void * resolve_half_to_float4 (void) { __builtin_cpu_init (); if (__builtin_cpu_supports ("f16c")) return half_to_float4_f16c; else return half_to_float4_c; } #endif #else /* ! HAVE_F16C */ #if defined(__APPLE__) || (defined(_MSC_VER) && !defined(__clang__)) // turns out aliases don't work on Darwin nor Visual Studio void float_to_half4 (const float f[4], guint16 h[4]) { float_to_half4_c (f, h); } void half_to_float4 (const guint16 h[4], float f[4]) { half_to_float4_c (h, f); } #else void float_to_half4 (const float f[4], guint16 h[4]) __attribute__((alias ("float_to_half4_c"))); void half_to_float4 (const guint16 h[4], float f[4]) __attribute__((alias ("half_to_float4_c"))); #endif #endif /* HAVE_F16C */