/* 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, 1995 Copyright 1984, 1995 by Stephen L. Moshier */ #include "mconf.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 NANS union { 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 INFINITIES union { 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 }