/* * $Id: math_fmod.c,v 1.7 2006-01-08 12:04:23 obarthel Exp $ * * :ts=4 * * Portable ISO 'C' (1994) runtime library for the Amiga computer * Copyright (c) 2002-2015 by Olaf Barthel * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * - Neither the name of Olaf Barthel nor the names of 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. * * * PowerPC math library based in part on work by Sun Microsystems * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. */ #ifndef _MATH_HEADERS_H #include "math_headers.h" #endif /* _MATH_HEADERS_H */ /****************************************************************************/ #if defined(FLOATING_POINT_SUPPORT) /****************************************************************************/ #if defined(IEEE_FLOATING_POINT_SUPPORT) /****************************************************************************/ INLINE STATIC const double __fmod(double x,double y) { double q,p,result; q = x / y; if(q < 0.0) p = ceil(q) - q; else p = q - floor(q); result = p * y; return(result); } /****************************************************************************/ #endif /* IEEE_FLOATING_POINT_SUPPORT */ /****************************************************************************/ #if defined(M68881_FLOATING_POINT_SUPPORT) INLINE STATIC const double __fmod(double x,double y) { double result; __asm ("fmod%.x %2,%0" : "=f" (result) : "0" (x), "f" (y)); return(result); } #endif /* M68881_FLOATING_POINT_SUPPORT */ /****************************************************************************/ #if defined(PPC_FLOATING_POINT_SUPPORT) static const double one = 1.0, Zero[] = {0.0, -0.0,}; INLINE STATIC double __fmod(double x,double y) { int n,hx,hy,hz,ix,iy,sx,i; unsigned int lx,ly,lz; EXTRACT_WORDS(hx,lx,x); EXTRACT_WORDS(hy,ly,y); sx = hx&0x80000000; /* sign of x */ hx ^=sx; /* |x| */ hy &= 0x7fffffff; /* |y| */ /* purge off exception values */ if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */ ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */ return (x*y)/(x*y); if(hx<=hy) { if((hx>31]; /* |x|=|y| return x*0*/ } /* determine ix = ilogb(x) */ if(hx<0x00100000) /* subnormal x */ { if(hx==0) { for (ix = -1043, i=lx; i>0; i<<=1) ix -=1; } else { for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1; } } else ix = (hx>>20)-1023; /* determine iy = ilogb(y) */ if(hy<0x00100000) /* subnormal y */ { if(hy==0) { for (iy = -1043, i=ly; i>0; i<<=1) iy -=1; } else { for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1; } } else iy = (hy>>20)-1023; /* set up {hx,lx}, {hy,ly} and align y to x */ if(ix >= -1022) hx = 0x00100000|(0x000fffff&hx); else /* subnormal x, shift x to normal */ { n = -1022-ix; if(n<=31) { hx = (hx<>(32-n)); lx <<= n; } else { hx = lx<<(n-32); lx = 0; } } if(iy >= -1022) hy = 0x00100000|(0x000fffff&hy); else /* subnormal y, shift y to normal */ { n = -1022-iy; if(n<=31) { hy = (hy<>(32-n)); ly <<= n; } else { hy = ly<<(n-32); ly = 0; } } /* fix point fmod */ n = ix - iy; while(n--) { hz=hx-hy;lz=lx-ly; if(lx>31); lx = lx+lx; } else { if((hz|lz)==0) /* return sign(x)*0 */ return Zero[(unsigned int)sx>>31]; hx = hz+hz+(lz>>31); lx = lz+lz; } } hz=hx-hy; lz=lx-ly; if(lx=0) { hx=hz; lx=lz; } /* convert back to floating value and restore the sign */ if((hx|lx)==0) /* return sign(x)*0 */ return Zero[(unsigned int)sx>>31]; while(hx<0x00100000) /* normalize x */ { hx = hx+hx+(lx>>31); lx = lx+lx; iy -= 1; } if(iy>= -1022) /* normalize output */ { hx = ((hx-0x00100000)|((iy+1023)<<20)); INSERT_WORDS(x,hx|sx,lx); } else { /* subnormal output */ n = -1022 - iy; if(n<=20) { lx = (lx>>n)|((unsigned int)hx<<(32-n)); hx >>= n; } else if (n<=31) { lx = (hx<<(32-n))|(lx>>n); hx = sx; } else { lx = hx>>(n-32); hx = sx; } INSERT_WORDS(x,hx|sx,lx); x *= one; /* create necessary signal */ } return x; /* exact output */ } #endif /* PPC_FLOATING_POINT_SUPPORT */ /****************************************************************************/ double fmod(double x,double y) { double result; if(y != 0.0) { result = __fmod(x,y); } else { result = x; __set_errno(EDOM); } return(result); } /****************************************************************************/ #endif /* FLOATING_POINT_SUPPORT */