/* Round to nearest integer value, rounding halfway cases to even. ldbl-96 version. Copyright (C) 2016 Free Software Foundation, Inc. This file is part of the GNU C Library. The GNU C 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. The GNU C 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 the GNU C Library; if not, see . */ #include #include #include #define BIAS 0x3fff #define MANT_DIG 64 #define MAX_EXP (2 * BIAS + 1) long double roundevenl (long double x) { uint16_t se; uint32_t hx, lx; GET_LDOUBLE_WORDS (se, hx, lx, x); int exponent = se & 0x7fff; if (exponent >= BIAS + MANT_DIG - 1) { /* Integer, infinity or NaN. */ if (exponent == MAX_EXP) /* Infinity or NaN; quiet signaling NaNs. */ return x + x; else return x; } else if (exponent >= BIAS + MANT_DIG - 32) { /* Not necessarily an integer; integer bit is in low word. Locate the bits with exponents 0 and -1. */ int int_pos = (BIAS + MANT_DIG - 1) - exponent; int half_pos = int_pos - 1; uint32_t half_bit = 1U << half_pos; uint32_t int_bit = 1U << int_pos; if ((lx & (int_bit | (half_bit - 1))) != 0) { /* No need to test whether HALF_BIT is set. */ lx += half_bit; if (lx < half_bit) { hx++; if (hx == 0) { hx = 0x80000000; se++; } } } lx &= ~(int_bit - 1); } else if (exponent == BIAS + MANT_DIG - 33) { /* Not necessarily an integer; integer bit is bottom of high word, half bit is top of low word. */ if (((hx & 1) | (lx & 0x7fffffff)) != 0) { lx += 0x80000000; if (lx < 0x80000000) { hx++; if (hx == 0) { hx = 0x80000000; se++; } } } lx = 0; } else if (exponent >= BIAS) { /* At least 1; not necessarily an integer, integer bit and half bit are in the high word. Locate the bits with exponents 0 and -1. */ int int_pos = (BIAS + MANT_DIG - 33) - exponent; int half_pos = int_pos - 1; uint32_t half_bit = 1U << half_pos; uint32_t int_bit = 1U << int_pos; if (((hx & (int_bit | (half_bit - 1))) | lx) != 0) { hx += half_bit; if (hx < half_bit) { hx = 0x80000000; se++; } } hx &= ~(int_bit - 1); lx = 0; } else if (exponent == BIAS - 1 && (hx > 0x80000000 || lx != 0)) { /* Interval (0.5, 1). */ se = (se & 0x8000) | 0x3fff; hx = 0x80000000; lx = 0; } else { /* Rounds to 0. */ se &= 0x8000; hx = 0; lx = 0; } SET_LDOUBLE_WORDS (x, se, hx, lx); return x; }