// Copyright (c) Microsoft Corporation. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // _FDscale function -- IEEE 754 version #include "xmath.hpp" _EXTERN_C_UNLESS_PURE short _FDscale(float* px, long lexp) noexcept { // scale *px by 2^xexp with checking const auto ps = reinterpret_cast<_Fval*>(px); short xchar = static_cast((ps->_Sh[_F0] & _FMASK) >> _FOFF); if (xchar == _FMAX) { return (ps->_Sh[_F0] & _FFRAC) != 0 || ps->_Sh[_F1] != 0 ? _NANCODE : _INFCODE; } else if (xchar == 0 && 0 < (xchar = _FDnorm(ps))) { return 0; } if (0 < lexp && _FMAX - xchar <= lexp) { // overflow, return +/-INF *px = ps->_Sh[_F0] & _FSIGN ? -_FInf._Float : _FInf._Float; return _INFCODE; } else if (-xchar < lexp) { // finite result, repack ps->_Sh[_F0] = static_cast(ps->_Sh[_F0] & ~_FMASK | (lexp + xchar) << _FOFF); return _FINITE; } else { // denormalized, scale unsigned short sign = static_cast(ps->_Sh[_F0] & _FSIGN); ps->_Sh[_F0] = static_cast(1 << _FOFF | ps->_Sh[_F0] & _FFRAC); lexp += xchar - 1; if (lexp < -(16 + 1 + _FOFF) || 0 <= lexp) { // underflow, return +/-0 ps->_Sh[_F0] = sign; ps->_Sh[_F1] = 0; return 0; } else { // nonzero, align fraction short xexp = static_cast(lexp); unsigned short psx = 0; if (xexp <= -16) { // scale by words psx = ps->_Sh[_F1]; ps->_Sh[_F1] = ps->_Sh[_F0]; ps->_Sh[_F0] = 0; xexp += 16; } if (xexp != 0) { // scale by bits xexp = -xexp; psx = (ps->_Sh[_F1] << (16 - xexp)) | (psx != 0 ? 1 : 0); ps->_Sh[_F1] = static_cast(ps->_Sh[_F1] >> xexp | ps->_Sh[_F0] << (16 - xexp)); ps->_Sh[_F0] >>= xexp; } ps->_Sh[_F0] |= sign; if ((0x8000 < psx || 0x8000 == psx && (ps->_Sh[_F1] & 0x0001) != 0) && (++ps->_Sh[_F1] & 0xffff) == 0) { ++ps->_Sh[_F0]; // round up } else if (ps->_Sh[_F0] == sign && ps->_Sh[_F1] == 0) { return 0; } return _FINITE; } } } _END_EXTERN_C_UNLESS_PURE