/* @(#)fdlibm.h 1.5 04/04/22 */ /* * ==================================================== * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. * * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* Sometimes it's necessary to define __LITTLE_ENDIAN explicitly but these catch some common cases. */ #if defined(i386) || defined(i486) || \ defined(intel) || defined(x86) || defined(i86pc) || \ defined(__alpha) || defined(__osf__) #define __LITTLE_ENDIAN #endif #ifdef __LITTLE_ENDIAN #define __HI(x) *(1+(int*)&x) #define __LO(x) *(int*)&x #define __HIp(x) *(1+(int*)x) #define __LOp(x) *(int*)x #else #define __HI(x) *(int*)&x #define __LO(x) *(1+(int*)&x) #define __HIp(x) *(int*)x #define __LOp(x) *(1+(int*)x) #endif #ifdef __STDC__ #define __P(p) p #else #define __P(p) () #endif /* * ANSI/POSIX */ extern int signgam; #define MAXFLOAT ((float)3.40282346638528860e+38) enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; #define _LIB_VERSION_TYPE enum fdversion #define _LIB_VERSION _fdlib_version /* if global variable _LIB_VERSION is not desirable, one may * change the following to be a constant by: * #define _LIB_VERSION_TYPE const enum version * In that case, after one initializes the value _LIB_VERSION (see * s_lib_version.c) during compile time, it cannot be modified * in the middle of a program */ extern _LIB_VERSION_TYPE _LIB_VERSION; #define _IEEE_ fdlibm_ieee #define _SVID_ fdlibm_svid #define _XOPEN_ fdlibm_xopen #define _POSIX_ fdlibm_posix struct exception { int type; char *name; double arg1; double arg2; double retval; }; #define HUGE MAXFLOAT /* * set X_TLOSS = pi*2**52, which is possibly defined in * (one may replace the following line by "#include ") */ #define X_TLOSS 1.41484755040568800000e+16 #define DOMAIN 1 #define SING 2 #define OVERFLOW 3 #define UNDERFLOW 4 #define TLOSS 5 #define PLOSS 6 /* * ANSI/POSIX */ extern double acos __P((double)); extern double asin __P((double)); extern double atan __P((double)); extern double atan2 __P((double, double)); extern double cos __P((double)); extern double sin __P((double)); extern double tan __P((double)); extern double cosh __P((double)); extern double sinh __P((double)); extern double tanh __P((double)); extern double exp __P((double)); extern double frexp __P((double, int *)); extern double ldexp __P((double, int)); extern double log __P((double)); extern double log10 __P((double)); extern double modf __P((double, double *)); extern double pow __P((double, double)); extern double sqrt __P((double)); extern double ceil __P((double)); extern double fabs __P((double)); extern double floor __P((double)); extern double fmod __P((double, double)); extern double erf __P((double)); extern double erfc __P((double)); extern double gamma __P((double)); extern double hypot __P((double, double)); extern int isnan __P((double)); extern int finite __P((double)); extern double j0 __P((double)); extern double j1 __P((double)); extern double jn __P((int, double)); extern double lgamma __P((double)); extern double y0 __P((double)); extern double y1 __P((double)); extern double yn __P((int, double)); extern double acosh __P((double)); extern double asinh __P((double)); extern double atanh __P((double)); extern double cbrt __P((double)); extern double logb __P((double)); extern double nextafter __P((double, double)); extern double remainder __P((double, double)); #ifdef _SCALB_INT extern double scalb __P((double, int)); #else extern double scalb __P((double, double)); #endif extern int matherr __P((struct exception *)); /* * IEEE Test Vector */ extern double significand __P((double)); /* * Functions callable from C, intended to support IEEE arithmetic. */ extern double copysign __P((double, double)); extern int ilogb __P((double)); extern double rint __P((double)); extern double scalbn __P((double, int)); /* * BSD math library entry points */ extern double expm1 __P((double)); extern double log1p __P((double)); /* * Reentrant version of gamma & lgamma; passes signgam back by reference * as the second argument; user must allocate space for signgam. */ #ifdef _REENTRANT extern double gamma_r __P((double, int *)); extern double lgamma_r __P((double, int *)); #endif /* _REENTRANT */ /* ieee style elementary functions */ extern double __ieee754_sqrt __P((double)); extern double __ieee754_acos __P((double)); extern double __ieee754_acosh __P((double)); extern double __ieee754_log __P((double)); extern double __ieee754_atanh __P((double)); extern double __ieee754_asin __P((double)); extern double __ieee754_atan2 __P((double,double)); extern double __ieee754_exp __P((double)); extern double __ieee754_cosh __P((double)); extern double __ieee754_fmod __P((double,double)); extern double __ieee754_pow __P((double,double)); extern double __ieee754_lgamma_r __P((double,int *)); extern double __ieee754_gamma_r __P((double,int *)); extern double __ieee754_lgamma __P((double)); extern double __ieee754_gamma __P((double)); extern double __ieee754_log10 __P((double)); extern double __ieee754_sinh __P((double)); extern double __ieee754_hypot __P((double,double)); extern double __ieee754_j0 __P((double)); extern double __ieee754_j1 __P((double)); extern double __ieee754_y0 __P((double)); extern double __ieee754_y1 __P((double)); extern double __ieee754_jn __P((int,double)); extern double __ieee754_yn __P((int,double)); extern double __ieee754_remainder __P((double,double)); extern int __ieee754_rem_pio2 __P((double,double*)); #ifdef _SCALB_INT extern double __ieee754_scalb __P((double,int)); #else extern double __ieee754_scalb __P((double,double)); #endif /* fdlibm kernel function */ extern double __kernel_standard __P((double,double,int)); extern double __kernel_sin __P((double,double,int)); extern double __kernel_cos __P((double,double)); extern double __kernel_tan __P((double,double,int)); extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); /* @(#)s_rint.c 1.3 95/01/18 */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunSoft, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * rint(x) * Return x rounded to integral value according to the prevailing * rounding mode. * Method: * Using floating addition. * Exception: * Inexact flag raised if x not equal to rint(x). */ #include "fdlibm.h" #ifdef __STDC__ static const double #else static double #endif TWO52[2]={ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */ }; #ifdef __STDC__ double rint(double x) #else double rint(x) double x; #endif { int i0,j0,sx; unsigned i,i1; double w,t; i0 = __HI(x); sx = (i0>>31)&1; i1 = __LO(x); j0 = ((i0>>20)&0x7ff)-0x3ff; if(j0<20) { if(j0<0) { if(((i0&0x7fffffff)|i1)==0) return x; i1 |= (i0&0x0fffff); i0 &= 0xfffe0000; i0 |= ((i1|-i1)>>12)&0x80000; __HI(x)=i0; w = TWO52[sx]+x; t = w-TWO52[sx]; i0 = __HI(t); __HI(t) = (i0&0x7fffffff)|(sx<<31); return t; } else { i = (0x000fffff)>>j0; if(((i0&i)|i1)==0) return x; /* x is integral */ i>>=1; if(((i0&i)|i1)!=0) { if(j0==19) i1 = 0x40000000; else i0 = (i0&(~i))|((0x20000)>>j0); } } } else if (j0>51) { if(j0==0x400) return x+x; /* inf or NaN */ else return x; /* x is integral */ } else { i = ((unsigned)(0xffffffff))>>(j0-20); if((i1&i)==0) return x; /* x is integral */ i>>=1; if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20)); } __HI(x) = i0; __LO(x) = i1; w = TWO52[sx]+x; return w-TWO52[sx]; }