📄 floorf.c
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/* ceilf() * floorf() * frexpf() * ldexpf() * signbitf() * isnanf() * isfinitef() * * Single precision floating point numeric utilities * * * * SYNOPSIS: * * float x, y; * float ceilf(), floorf(), frexpf(), ldexpf(); * int signbit(), isnan(), isfinite(); * int expnt, n; * * y = floorf(x); * y = ceilf(x); * y = frexpf( x, &expnt ); * y = ldexpf( x, n ); * n = signbit(x); * n = isnan(x); * n = isfinite(x); * * * * DESCRIPTION: * * All four routines return a single precision floating point * result. * * sfloor() returns the largest integer less than or equal to x. * It truncates toward minus infinity. * * sceil() returns the smallest integer greater than or equal * to x. It truncates toward plus infinity. * * sfrexp() 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. * * ldexpf() multiplies x by 2**n. * * signbit(x) returns 1 if the sign bit of x is 1, else 0. * * These functions are part of the standard C run time library * for many but not all C compilers. The ones supplied are * written in C for either DEC or 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 2.1: December, 1988Copyright 1984, 1987, 1988 by Stephen L. MoshierDirect inquiries to 30 Frost Street, Cambridge, MA 02140*/#include <math.h>#ifdef DEC#undef DENORMAL#define DENORMAL 0#endif#ifdef UNK#undef UNK#if BIGENDIAN#define MIEEE 1#else#define IBMPC 1#endif/*char *unkmsg = "ceil(), floor(), frexp(), ldexp() must be rewritten!\n";*/#endif#define EXPMSK 0x807f#define MEXP 255#define NBITS 24extern float MAXNUMF; /* (2^24 - 1) * 2^103 */#ifdef ANSICfloat floorf(float);#elsefloat floorf();#endiffloat ceilf( float x ){float y;#ifdef UNKprintf( "%s\n", unkmsg );return(0.0);#endify = floorf( (float )x );if( y < x ) y += 1.0;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,};float floorf( float x ){unsigned short *p;union { float y; unsigned short i[2]; } u;int e;#ifdef UNKprintf( "%s\n", unkmsg );return(0.0);#endifu.y = x;/* find the exponent (power of 2) */#ifdef DECp = &u.i[0];e = (( *p >> 7) & 0377) - 0201;p += 3;#endif#ifdef IBMPCp = &u.i[1];e = (( *p >> 7) & 0xff) - 0x7f;p -= 1;#endif#ifdef MIEEEp = &u.i[0];e = (( *p >> 7) & 0xff) - 0x7f;p += 1;#endifif( e < 0 ) { if( u.y < 0 ) return( -1.0 ); else return( 0.0 ); }e = (NBITS -1) - e;/* clean out 16 bits at a time */while( e >= 16 ) {#ifdef IBMPC *p++ = 0;#endif#ifdef DEC *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 -= 1.0;return(u.y);}float frexpf( float x, int *pw2 ){union { float y; unsigned short i[2]; } u;int i, k;short *q;u.y = x;#ifdef UNKprintf( "%s\n", unkmsg );return(0.0);#endif#ifdef IBMPCq = &u.i[1];#endif#ifdef DECq = &u.i[0];#endif#ifdef MIEEEq = &u.i[0];#endif/* find the exponent (power of 2) */i = ( *q >> 7) & 0xff;if( i == 0 ) { if( u.y == 0.0 ) { *pw2 = 0; return(0.0); }/* Number is denormal or zero */#if DENORMAL/* Handle denormal number. */ do { u.y *= 2.0; i -= 1; k = ( *q >> 7) & 0xff; } while( k == 0 ); i = i + k;#else *pw2 = 0; return( 0.0 );#endif /* DENORMAL */ }i -= 0x7e;*pw2 = i;*q &= 0x807f; /* strip all exponent bits */*q |= 0x3f00; /* mantissa between 0.5 and 1 */return( u.y );}float ldexpf( float x, int pw2 ){union { float y; unsigned short i[2]; } u;short *q;int e;#ifdef UNKprintf( "%s\n", unkmsg );return(0.0);#endifu.y = x;#ifdef DECq = &u.i[0];#endif#ifdef IBMPCq = &u.i[1];#endif#ifdef MIEEEq = &u.i[0];#endifwhile( (e = ( *q >> 7) & 0xff) == 0 ) { if( u.y == (float )0.0 ) { return( 0.0 ); }/* Input is denormal. */ if( pw2 > 0 ) { u.y *= 2.0; pw2 -= 1; } if( pw2 < 0 ) { if( pw2 < -24 ) return( 0.0 ); u.y *= 0.5; pw2 += 1; } if( pw2 == 0 ) return(u.y); }e += pw2;/* Handle overflow */if( e > MEXP ) { return( MAXNUMF ); }*q &= 0x807f;/* Handle denormalized results */if( e < 1 ) {#if DENORMAL if( e < -24 ) return( 0.0 ); *q |= 0x80; /* Set LSB of exponent. */ /* For denormals, significant bits may be lost even when dividing by 2. Construct 2^-(1-e) so the result is obtained with only one multiplication. */ u.y *= ldexpf(1.0f, e - 1); return(u.y);#else return( 0.0 );#endif }*q |= (e & 0xff) << 7;return(u.y);}/* Return 1 if the sign bit of x is 1, else 0. */int signbitf(x)float x;{union { float f; short s[4]; int i; } u;u.f = x;if( sizeof(int) == 4 ) {#ifdef IBMPC return( u.i < 0 );#endif#ifdef DEC return( u.s[1] < 0 );#endif#ifdef MIEEE return( u.i < 0 );#endif }else {#ifdef IBMPC return( u.s[1] < 0 );#endif#ifdef DEC return( u.s[1] < 0 );#endif#ifdef MIEEE return( u.s[0] < 0 );#endif }}/* Return 1 if x is a number that is Not a Number, else return 0. */int isnanf(x)float x;{#ifdef NANSunion { float f; unsigned short s[2]; unsigned int i; } u;u.f = x;if( sizeof(int) == 4 ) {#ifdef IBMPC if( ((u.i & 0x7f800000) == 0x7f800000) && ((u.i & 0x007fffff) != 0) ) return 1;#endif#ifdef DEC if( (u.s[1] & 0x7f80) == 0) { if( (u.s[1] | u.s[0]) != 0 ) return(1); }#endif#ifdef MIEEE if( ((u.i & 0x7f800000) == 0x7f800000) && ((u.i & 0x007fffff) != 0) ) return 1;#endif return(0); }else { /* size int not 4 */#ifdef IBMPC if( (u.s[1] & 0x7f80) == 0x7f80) { if( ((u.s[1] & 0x007f) | u.s[0]) != 0 ) return(1); }#endif#ifdef DEC if( (u.s[1] & 0x7f80) == 0) { if( (u.s[1] | u.s[0]) != 0 ) return(1); }#endif#ifdef MIEEE if( (u.s[0] & 0x7f80) == 0x7f80) { if( ((u.s[0] & 0x000f) | u.s[1]) != 0 ) return(1); }#endif return(0); } /* size int not 4 */#else/* No NANS. */return(0);#endif}/* Return 1 if x is not infinite and is not a NaN. */int isfinitef(x)float x;{#ifdef INFINITIESunion { float f; unsigned short s[2]; unsigned int i; } u;u.f = x;if( sizeof(int) == 4 ) {#ifdef IBMPC if( (u.i & 0x7f800000) != 0x7f800000) return 1;#endif#ifdef DEC if( (u.s[1] & 0x7f80) == 0) { if( (u.s[1] | u.s[0]) != 0 ) return(1); }#endif#ifdef MIEEE if( (u.i & 0x7f800000) != 0x7f800000) return 1;#endif return(0); }else {#ifdef IBMPC if( (u.s[1] & 0x7f80) != 0x7f80) return 1;#endif#ifdef DEC if( (u.s[1] & 0x7f80) == 0) { if( (u.s[1] | u.s[0]) != 0 ) return(1); }#endif#ifdef MIEEE if( (u.s[0] & 0x7f80) != 0x7f80) return 1;#endif return(0); }#else/* No INFINITY. */return(1);#endif}
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