/* 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 Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #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 }