/* origin: FreeBSD /usr/src/lib/msun/src/s_rint.c */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * rint(x) * Return x rounded to integral value according to the prevailing * rounding mode. * Method: * Using floating addition. * Exception: * Inexact flag raised if x not equal to rint(x). */ #include "libm.h" static const double TWO52[2] = { 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */ }; double rint(double x) { int32_t i0,j0,sx; uint32_t i,i1; double w,t; EXTRACT_WORDS(i0, i1, x); // FIXME: signed shift sx = (i0>>31) & 1; j0 = ((i0>>20)&0x7ff) - 0x3ff; if (j0 < 20) { if (j0 < 0) { if (((i0&0x7fffffff)|i1) == 0) return x; i1 |= i0 & 0x0fffff; i0 &= 0xfffe0000; i0 |= ((i1|-i1)>>12) & 0x80000; SET_HIGH_WORD(x, i0); STRICT_ASSIGN(double, w, TWO52[sx] + x); t = w - TWO52[sx]; GET_HIGH_WORD(i0, t); SET_HIGH_WORD(t, (i0&0x7fffffff)|(sx<<31)); return t; } else { i = 0x000fffff>>j0; if (((i0&i)|i1) == 0) return x; /* x is integral */ i >>= 1; if (((i0&i)|i1) != 0) { /* * Some bit is set after the 0.5 bit. To avoid the * possibility of errors from double rounding in * w = TWO52[sx]+x, adjust the 0.25 bit to a lower * guard bit. We do this for all j0<=51. The * adjustment is trickiest for j0==18 and j0==19 * since then it spans the word boundary. */ if (j0 == 19) i1 = 0x40000000; else if (j0 == 18) i1 = 0x80000000; else i0 = (i0 & ~i)|(0x20000>>j0); } } } else if (j0 > 51) { if (j0 == 0x400) return x+x; /* inf or NaN */ return x; /* x is integral */ } else { i = (uint32_t)0xffffffff>>(j0-20); if ((i1&i) == 0) return x; /* x is integral */ i >>= 1; if ((i1&i) != 0) i1 = (i1 & ~i)|(0x40000000>>(j0-20)); } INSERT_WORDS(x, i0, i1); STRICT_ASSIGN(double, w, TWO52[sx] + x); return w - TWO52[sx]; }