📄 floorl.c
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/* ceill() * floorl() * frexpl() * ldexpl() * fabsl() * signbitl() * isnanl() * isfinitel() * * Floating point numeric utilities * * * * SYNOPSIS: * * long double ceill(), floorl(), frexpl(), ldexpl(), fabsl(); * int signbitl(), isnanl(), isfinitel(); * long double x, y; * int expnt, n; * * y = floorl(x); * y = ceill(x); * y = frexpl( x, &expnt ); * y = ldexpl( x, n ); * y = fabsl( x ); * n = signbitl(x); * n = isnanl(x); * n = isfinitel(x); * * * * DESCRIPTION: * * The following routines return a long double precision floating point * result: * * floorl() returns the largest integer less than or equal to x. * It truncates toward minus infinity. * * ceill() returns the smallest integer greater than or equal * to x. It truncates toward plus infinity. * * frexpl() extracts the exponent from x. It returns an integer * power of two to expnt and the significand between 0.5 and 1 * to y. Thus x = y * 2**expn. * * ldexpl() multiplies x by 2**n. * * fabsl() returns the absolute value of its argument. * * These functions are part of the standard C run time library * for some but not all C compilers. The ones supplied are * written in C for IEEE arithmetic. They should * be used only if your compiler library does not already have * them. * * The IEEE versions assume that denormal numbers are implemented * in the arithmetic. Some modifications will be required if * the arithmetic has abrupt rather than gradual underflow. *//*Cephes Math Library Release 2.7: May, 1998Copyright 1984, 1987, 1988, 1992, 1998 by Stephen L. Moshier*/#include <math.h>/* This is defined in mconf.h. *//* #define DENORMAL 1 */#ifdef UNK/* Change UNK into something else. */#undef UNK#if BIGENDIAN#define MIEEE 1#else#define IBMPC 1#endif#endif#ifdef IBMPC#define EXPMSK 0x800f#define MEXP 0x7ff#define NBITS 64#endif#ifdef MIEEE#define EXPMSK 0x800f#define MEXP 0x7ff#define NBITS 64#endifextern double MAXNUML;#ifdef ANSIPROTextern long double fabsl ( long double );extern long double floorl ( long double );extern int isnanl ( long double );#elselong double fabsl(), floorl();int isnanl();#endif#ifdef INFINITIESextern long double INFINITYL;#endif#ifdef NANSextern long double NANL;#endiflong double fabsl(x)long double x;{union { long double d; short i[6]; } u;u.d = x;#ifdef IBMPC u.i[4] &= 0x7fff;#endif#ifdef MIEEE u.i[0] &= 0x7fff;#endifreturn( u.d );}long double ceill(x)long double x;{long double y;#ifdef UNKmtherr( "ceill", DOMAIN );return(0.0L);#endif#ifdef INFINITIESif(x == -INFINITYL) return(x);#endif#ifdef MINUSZEROif(x == 0.0L) return(x);#endify = floorl(x);if( y < x ) y += 1.0L;return(y);}/* Bit clearing masks: */static unsigned short bmask[] = {0xffff,0xfffe,0xfffc,0xfff8,0xfff0,0xffe0,0xffc0,0xff80,0xff00,0xfe00,0xfc00,0xf800,0xf000,0xe000,0xc000,0x8000,0x0000,};long double floorl(x)long double x;{unsigned short *p;union { long double y; unsigned short sh[6]; } u;int e;#ifdef UNKmtherr( "floor", DOMAIN );return(0.0L);#endif#ifdef INFINITIESif( x == INFINITYL ) return(x);#endif#ifdef MINUSZEROif(x == 0.0L) return(x);#endifu.y = x;/* find the exponent (power of 2) */#ifdef IBMPCp = (unsigned short *)&u.sh[4];e = (*p & 0x7fff) - 0x3fff;p -= 4;#endif#ifdef MIEEEp = (unsigned short *)&u.sh[0];e = (*p & 0x7fff) - 0x3fff;p += 5;#endifif( e < 0 ) { if( u.y < 0.0L ) return( -1.0L ); else return( 0.0L ); }e = (NBITS -1) - e;/* clean out 16 bits at a time */while( e >= 16 ) {#ifdef IBMPC *p++ = 0;#endif#ifdef MIEEE *p-- = 0;#endif e -= 16; }/* clear the remaining bits */if( e > 0 ) *p &= bmask[e];if( (x < 0) && (u.y != x) ) u.y -= 1.0L;return(u.y);}long double frexpl( x, pw2 )long double x;int *pw2;{union { long double y; unsigned short sh[6]; } u;int i, k;short *q;u.y = x;#ifdef NANSif(isnanl(x)) { *pw2 = 0; return(x); }#endif#ifdef INFINITIESif(x == -INFINITYL) { *pw2 = 0; return(x); }#endif#ifdef MINUSZEROif(x == 0.0L) { *pw2 = 0; return(x); }#endif#ifdef UNKmtherr( "frexpl", DOMAIN );return(0.0L);#endif/* find the exponent (power of 2) */#ifdef IBMPCq = (short *)&u.sh[4];i = *q & 0x7fff;#endif#ifdef MIEEEq = (short *)&u.sh[0];i = *q & 0x7fff;#endifif( i == 0 ) { if( u.y == 0.0L ) { *pw2 = 0; return(0.0L); }/* Number is denormal or zero */#ifdef DENORMAL/* Handle denormal number. */do { u.y *= 2.0L; i -= 1; k = *q & 0x7fff; }while( (k == 0) && (i > -66) );i = i + k;#else *pw2 = 0; return(0.0L);#endif /* DENORMAL */ }*pw2 = i - 0x3ffe;/* *q = 0x3ffe; *//* Preserve sign of argument. */*q &= 0x8000;*q |= 0x3ffe;return( u.y );}long double ldexpl( x, pw2 )long double x;int pw2;{union { long double y; unsigned short sh[6]; } u;unsigned short *q;long e;#ifdef UNKmtherr( "ldexp", DOMAIN );return(0.0L);#endifu.y = x;#ifdef IBMPCq = (unsigned short *)&u.sh[4];#endif#ifdef MIEEEq = (unsigned short *)&u.sh[0];#endifwhile( (e = (*q & 0x7fffL)) == 0 ) {#ifdef DENORMAL if( u.y == 0.0L ) { return( 0.0L ); }/* Input is denormal. */ if( pw2 > 0 ) { u.y *= 2.0L; pw2 -= 1; } if( pw2 < 0 ) { if( pw2 < -64 ) return(0.0L); u.y *= 0.5L; pw2 += 1; } if( pw2 == 0 ) return(u.y);#else return( 0.0L );#endif }e = e + pw2;/* Handle overflow */if( e > 0x7fffL ) { return( MAXNUML ); }*q &= 0x8000;/* Handle denormalized results */if( e < 1 ) {#ifdef DENORMAL if( e < -64 ) return(0.0L);#ifdef IBMPC *(q-1) |= 0x8000;#endif#ifdef MIEEE *(q+2) |= 0x8000;#endif while( e < 1 ) { u.y *= 0.5L; e += 1; } e = 0;#else return(0.0L);#endif }*q |= (unsigned short) e & 0x7fff;return(u.y);}
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