/* origin: FreeBSD /usr/src/lib/msun/src/s_floorl.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. * ==================================================== */ /* * floorl(x) * Return x rounded toward -inf to integral value * Method: * Bit twiddling. * Exception: * Inexact flag raised if x not equal to floorl(x). */ #include "libm.h" #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 long double floorl(long double x) { return floor(x); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 #ifdef LDBL_IMPLICIT_NBIT #define MANH_SIZE (LDBL_MANH_SIZE + 1) #define INC_MANH(u, c) do { \ uint64_t o = u.bits.manh; \ u.bits.manh += (c); \ if (u.bits.manh < o) \ u.bits.exp++; \ } while (0) #else #define MANH_SIZE LDBL_MANH_SIZE #define INC_MANH(u, c) do { \ uint64_t o = u.bits.manh; \ u.bits.manh += (c); \ if (u.bits.manh < o) { \ u.bits.exp++; \ u.bits.manh |= 1llu << (LDBL_MANH_SIZE - 1); \ } \ } while (0) #endif static const long double huge = 1.0e300; long double floorl(long double x) { union IEEEl2bits u = { .e = x }; int e = u.bits.exp - LDBL_MAX_EXP + 1; if (e < MANH_SIZE - 1) { if (e < 0) { /* raise inexact if x != 0 */ if (huge + x > 0.0) if (u.bits.exp > 0 || (u.bits.manh | u.bits.manl) != 0) u.e = u.bits.sign ? -1.0 : 0.0; } else { uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1); if (((u.bits.manh & m) | u.bits.manl) == 0) return x; /* x is integral */ if (u.bits.sign) { #ifdef LDBL_IMPLICIT_NBIT if (e == 0) u.bits.exp++; else #endif INC_MANH(u, 1llu << (MANH_SIZE - e - 1)); } /* raise inexact flag */ if (huge + x > 0.0) { u.bits.manh &= ~m; u.bits.manl = 0; } } } else if (e < LDBL_MANT_DIG - 1) { uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1); if ((u.bits.manl & m) == 0) return x; /* x is integral */ if (u.bits.sign) { if (e == MANH_SIZE - 1) INC_MANH(u, 1); else { uint64_t o = u.bits.manl; u.bits.manl += 1llu << (LDBL_MANT_DIG - e - 1); if (u.bits.manl < o) /* got a carry */ INC_MANH(u, 1); } } /* raise inexact flag */ if (huge + x > 0.0) u.bits.manl &= ~m; } return (u.e); } #endif