/* e_fmodl.c -- long double version of e_fmod.c. * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. */ /* * ==================================================== * 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. * ==================================================== */ /* __ieee754_remainderl(x,p) * Return : * returns x REM p = x - [x/p]*p as if in infinite * precise arithmetic, where [x/p] is the (infinite bit) * integer nearest x/p (in half way case choose the even one). * Method : * Based on fmodl() return x-[x/p]chopped*p exactlp. */ #include #include static const long double zero = 0.0L; long double __ieee754_remainderl(long double x, long double p) { int64_t hx,hp; u_int64_t sx,lx,lp; long double p_half; double xhi, xlo, phi, plo; ldbl_unpack (x, &xhi, &xlo); EXTRACT_WORDS64 (hx, xhi); EXTRACT_WORDS64 (lx, xlo); ldbl_unpack (p, &phi, &plo); EXTRACT_WORDS64 (hp, phi); EXTRACT_WORDS64 (lp, plo); sx = hx&0x8000000000000000ULL; lp ^= hp & 0x8000000000000000ULL; hp &= 0x7fffffffffffffffLL; lx ^= sx; hx &= 0x7fffffffffffffffLL; /* purge off exception values */ if(hp==0) return (x*p)/(x*p); /* p = 0 */ if((hx>=0x7ff0000000000000LL)|| /* x not finite */ (hp>0x7ff0000000000000LL)) /* p is NaN */ return (x*p)/(x*p); if (hp<=0x7fdfffffffffffffLL) x = __ieee754_fmodl(x,p+p); /* now x < 2p */ if (((hx-hp)|(lx-lp))==0) return zero*x; x = fabsl(x); p = fabsl(p); if (hp<0x0020000000000000LL) { if(x+x>p) { x-=p; if(x+x>=p) x -= p; } } else { p_half = 0.5L*p; if(x>p_half) { x-=p; if(x>=p_half) x -= p; } } if (sx) x = -x; return x; } strong_alias (__ieee754_remainderl, __remainderl_finite)