| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237 | /*							isnan() *							signbit() *							isfinite() * *	Floating point numeric utilities * * * * SYNOPSIS: * * double ceil(), floor(), frexp(), ldexp(); * int signbit(), isnan(), isfinite(); * double x, y; * int expnt, n; * * y = floor(x); * y = ceil(x); * y = frexp( x, &expnt ); * y = ldexp( x, n ); * n = signbit(x); * n = isnan(x); * n = isfinite(x); * * * * DESCRIPTION: * * All four routines return a double precision floating point * result. * * floor() returns the largest integer less than or equal to x. * It truncates toward minus infinity. * * ceil() returns the smallest integer greater than or equal * to x.  It truncates toward plus infinity. * * frexp() 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. * * ldexp() 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 2.3:  March, 1995Copyright 1984, 1995 by Stephen L. Moshier*/#include <math.h>#ifdef UNK/* ceil(), floor(), frexp(), ldexp() may need to be rewritten. */#undef UNK#if BIGENDIAN#define MIEEE 1#else#define IBMPC 1#endif#endif/* Return 1 if the sign bit of x is 1, else 0.  */int signbit(x)double x;{union	{	double d;	short s[4];	int i[2];	} u;u.d = x;if( sizeof(int) == 4 )	{#ifdef IBMPC	return( u.i[1] < 0 );#endif#ifdef DEC	return( u.s[3] < 0 );#endif#ifdef MIEEE	return( u.i[0] < 0 );#endif	}else	{#ifdef IBMPC	return( u.s[3] < 0 );#endif#ifdef DEC	return( u.s[3] < 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 isnan(x)double x;{#ifdef NANSunion	{	double d;	unsigned short s[4];	unsigned int i[2];	} u;u.d = x;if( sizeof(int) == 4 )	{#ifdef IBMPC	if( ((u.i[1] & 0x7ff00000) == 0x7ff00000)	    && (((u.i[1] & 0x000fffff) != 0) || (u.i[0] != 0)))		return 1;#endif#ifdef DEC	if( (u.s[1] & 0x7fff) == 0)		{		if( (u.s[2] | u.s[1] | u.s[0]) != 0 )			return(1);		}#endif#ifdef MIEEE	if( ((u.i[0] & 0x7ff00000) == 0x7ff00000)	    && (((u.i[0] & 0x000fffff) != 0) || (u.i[1] != 0)))		return 1;#endif	return(0);	}else	{ /* size int not 4 */#ifdef IBMPC	if( (u.s[3] & 0x7ff0) == 0x7ff0)		{		if( ((u.s[3] & 0x000f) | u.s[2] | u.s[1] | u.s[0]) != 0 )			return(1);		}#endif#ifdef DEC	if( (u.s[3] & 0x7fff) == 0)		{		if( (u.s[2] | u.s[1] | u.s[0]) != 0 )			return(1);		}#endif#ifdef MIEEE	if( (u.s[0] & 0x7ff0) == 0x7ff0)		{		if( ((u.s[0] & 0x000f) | u.s[1] | u.s[2] | u.s[3]) != 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 isfinite(x)double x;{#ifdef INFINITIESunion	{	double d;	unsigned short s[4];	unsigned int i[2];	} u;u.d = x;if( sizeof(int) == 4 )	{#ifdef IBMPC	if( (u.i[1] & 0x7ff00000) != 0x7ff00000)		return 1;#endif#ifdef DEC	if( (u.s[3] & 0x7fff) != 0)		return 1;#endif#ifdef MIEEE	if( (u.i[0] & 0x7ff00000) != 0x7ff00000)		return 1;#endif	return(0);	}else	{#ifdef IBMPC	if( (u.s[3] & 0x7ff0) != 0x7ff0)		return 1;#endif#ifdef DEC	if( (u.s[3] & 0x7fff) != 0)		return 1;#endif#ifdef MIEEE	if( (u.s[0] & 0x7ff0) != 0x7ff0)		return 1;#endif	return(0);	}#else/* No INFINITY.  */return(1);#endif}
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