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Network: Send IEEE floats (#7768)
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9 changed files with 317 additions and 12 deletions
136
src/util/ieee_float.cpp
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136
src/util/ieee_float.cpp
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/*
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* Conversion of f32 to IEEE-754 and vice versa.
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*
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* © Copyright 2018 Pedro Gimeno Fortea.
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sublicense, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice shall be included
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* in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
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* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
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* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*/
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#include "ieee_float.h"
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#include "log.h"
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#include "porting.h"
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#include <limits>
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#include <cmath>
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// Given an unsigned 32-bit integer representing an IEEE-754 single-precision
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// float, return the float.
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f32 u32Tof32Slow(u32 i)
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{
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// clang-format off
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int exp = (i >> 23) & 0xFF;
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u32 sign = i & 0x80000000UL;
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u32 imant = i & 0x7FFFFFUL;
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if (exp == 0xFF) {
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// Inf/NaN
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if (imant == 0) {
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if (std::numeric_limits<f32>::has_infinity)
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return sign ? -std::numeric_limits<f32>::infinity() :
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std::numeric_limits<f32>::infinity();
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return sign ? std::numeric_limits<f32>::max() :
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std::numeric_limits<f32>::lowest();
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}
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return std::numeric_limits<f32>::has_quiet_NaN ?
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std::numeric_limits<f32>::quiet_NaN() : -0.f;
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}
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if (!exp) {
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// Denormal or zero
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return sign ? -ldexpf((f32)imant, -149) : ldexpf((f32)imant, -149);
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}
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return sign ? -ldexpf((f32)(imant | 0x800000UL), exp - 150) :
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ldexpf((f32)(imant | 0x800000UL), exp - 150);
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// clang-format on
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}
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// Given a float, return an unsigned 32-bit integer representing the f32
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// in IEEE-754 single-precision format.
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u32 f32Tou32Slow(f32 f)
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{
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u32 signbit = std::copysign(1.0f, f) == 1.0f ? 0 : 0x80000000UL;
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if (f == 0.f)
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return signbit;
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if (std::isnan(f))
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return signbit | 0x7FC00000UL;
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if (std::isinf(f))
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return signbit | 0x7F800000UL;
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int exp;
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f32 mant = frexpf(f, &exp);
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u32 imant = (u32)std::floor((signbit ? -16777216.f : 16777216.f) * mant);
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exp += 126;
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if (exp <= 0) {
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// Denormal
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return signbit | (exp <= -31 ? 0 : imant >> (1 - exp));
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}
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if (exp >= 255) {
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// Overflow due to the platform having exponents bigger than IEEE ones.
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// Return signed infinity.
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return signbit | 0x7F800000UL;
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}
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// Regular number
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return signbit | (exp << 23) | (imant & 0x7FFFFFUL);
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}
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// This test needs the following requisites in order to work:
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// - The float type must be a 32 bits IEEE-754 single-precision float.
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// - The endianness of f32s and integers must match.
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FloatType getFloatSerializationType()
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{
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// clang-format off
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const f32 cf = -22220490.f;
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const u32 cu = 0xCBA98765UL;
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if (std::numeric_limits<f32>::is_iec559 && sizeof(cf) == 4 &&
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sizeof(cu) == 4 && !memcmp(&cf, &cu, 4)) {
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// u32Tof32Slow and f32Tou32Slow are not needed, use memcpy
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return FLOATTYPE_SYSTEM;
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}
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// Run quick tests to ensure the custom functions provide acceptable results
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warningstream << "floatSerialization: f32 and u32 endianness are "
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"not equal or machine is not IEEE-754 compliant" << std::endl;
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u32 i;
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char buf[128];
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// NaN checks aren't included in the main loop
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if (!std::isnan(u32Tof32Slow(0x7FC00000UL))) {
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porting::mt_snprintf(buf, sizeof(buf),
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"u32Tof32Slow(0x7FC00000) failed to produce a NaN, actual: %.9g",
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u32Tof32Slow(0x7FC00000UL));
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infostream << buf << std::endl;
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}
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if (!std::isnan(u32Tof32Slow(0xFFC00000UL))) {
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porting::mt_snprintf(buf, sizeof(buf),
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"u32Tof32Slow(0xFFC00000) failed to produce a NaN, actual: %.9g",
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u32Tof32Slow(0xFFC00000UL));
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infostream << buf << std::endl;
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}
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i = f32Tou32Slow(std::numeric_limits<f32>::quiet_NaN());
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// check that it corresponds to a NaN encoding
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if ((i & 0x7F800000UL) != 0x7F800000UL || (i & 0x7FFFFFUL) == 0) {
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porting::mt_snprintf(buf, sizeof(buf),
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"f32Tou32Slow(NaN) failed to encode NaN, actual: 0x%X", i);
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infostream << buf << std::endl;
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}
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return FLOATTYPE_SLOW;
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// clang-format on
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}
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