/* * Copyright © 2005-2014 Rich Felker, et al. * * 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 #include #include "local.h" union fshape { float value; uint32_t bits; }; // This is only necessary because the implementation of isnan only works // properly when long double == double. // See: https://sourceware.org/ml/newlib/2014/msg00684.html #ifdef _LDBL_EQ_DBL float nexttowardf (float x, long double y) { union fshape ux; uint32_t e; if (isnan(x) || isnan(y)) return x + y; if (x == y) return y; ux.value = x; if (x == 0) { ux.bits = 1; if (signbit(y)) ux.bits |= 0x80000000; } else if (x < y) { if (signbit(x)) ux.bits--; else ux.bits++; } else { if (signbit(x)) ux.bits++; else ux.bits--; } e = ux.bits & 0x7f800000; /* raise overflow if ux.value is infinite and x is finite */ if (e == 0x7f800000) { volatile float force_eval; force_eval = x + x; } /* raise underflow if ux.value is subnormal or zero */ if (e == 0) { volatile float force_eval; force_eval = x*x + ux.value*ux.value; } return ux.value; } #endif // _LDBL_EQ_DBL