#pragma once /* * This code snippet posted by user Phernost on * https://stackoverflow.com/questions/1659440/32-bit-to-16-bit-floating-point-conversion * * compress and decompress methods are made "inline" for performance */ class Float16Compressor { union Bits { float f; int32_t si; uint32_t ui; }; static int const shift = 13; static int const shiftSign = 16; static int32_t const infN = 0x7F800000; // flt32 infinity static int32_t const maxN = 0x477FE000; // max flt16 normal as a flt32 static int32_t const minN = 0x38800000; // min flt16 normal as a flt32 static int32_t const signN = 0x80000000; // flt32 sign bit static int32_t const infC = infN >> shift; static int32_t const nanN = (infC + 1) << shift; // minimum flt16 nan as a flt32 static int32_t const maxC = maxN >> shift; static int32_t const minC = minN >> shift; static int32_t const signC = signN >> shiftSign; // flt16 sign bit static int32_t const mulN = 0x52000000; // (1 << 23) / minN static int32_t const mulC = 0x33800000; // minN / (1 << (23 - shift)) static int32_t const subC = 0x003FF; // max flt32 subnormal down shifted static int32_t const norC = 0x00400; // min flt32 normal down shifted static int32_t const maxD = infC - maxC - 1; static int32_t const minD = minC - subC - 1; public: inline static uint16_t compress(float value) { Bits v, s; v.f = value; uint32_t sign = v.si & signN; v.si ^= sign; sign >>= shiftSign; // logical shift s.si = mulN; s.si = s.f * v.f; // correct subnormals v.si ^= (s.si ^ v.si) & -(minN > v.si); v.si ^= (infN ^ v.si) & -((infN > v.si) & (v.si > maxN)); v.si ^= (nanN ^ v.si) & -((nanN > v.si) & (v.si > infN)); v.ui >>= shift; // logical shift v.si ^= ((v.si - maxD) ^ v.si) & -(v.si > maxC); v.si ^= ((v.si - minD) ^ v.si) & -(v.si > subC); return v.ui | sign; } inline static float decompress(uint16_t value) { Bits v; v.ui = value; int32_t sign = v.si & signC; v.si ^= sign; sign <<= shiftSign; v.si ^= ((v.si + minD) ^ v.si) & -(v.si > subC); v.si ^= ((v.si + maxD) ^ v.si) & -(v.si > maxC); Bits s; s.si = mulC; s.f *= v.si; int32_t mask = -(norC > v.si); v.si <<= shift; v.si ^= (s.si ^ v.si) & mask; v.si |= sign; return v.f; } };