/* fmod.c - fmod math routine */ /* Copyright 1992-2002 Wind River Systems, Inc. */ /* modification history -------------------- 03b,01apr02,pfl clean up fix for SPR 20486 plus ISO/IEC 9899:1999 conformance 02a,31oct01,md3 +gkc +ycl rewrite: fixed SPR #20486. 01f,05feb93,jdi doc changes based on kdl review. 01e,02dec92,jdi doc tweaks. 01d,28oct92,jdi documentation cleanup. 01c,20sep92,smb documentation additions 01b,30jul92,kdl changed _d_type() calls to fpTypeGet(). 01a,08jul92,smb documentation. */ /* DESCRIPTION SEE ALSO: American National Standard X3.159-1989 NOMANUAL */ #include "vxWorks.h" #include "math.h" #include "stddef.h" #include "errno.h" #include "private/mathP.h" #include "errnoLib.h" /* mask to extract exponent part of a double */ #define MASK_DB_EXP 0x7ff00000 /* mask to extract high 20 significant bits */ #define MASK_DB_HI20 0x000fffff /* mask to filter exponent part of double */ #define MASK_DB_MANT 0x800fffff /* for big endian machine */ #if (_BYTE_ORDER==_BIG_ENDIAN) /* high 32 bits of Db - 1-bit sign + 11-bits exponent + 20-bit significant */ #define DB_HI(d) ((unsigned int) *((int*)&d)) /* hi 20 bits of a double's significant */ #define DB_HI_SIG(d) ((unsigned int) *((int*)&d) & MASK_DB_HI20) /* lower 32 bits of double's significant */ #define DB_LO_SIG(d) ((unsigned int) *(1+(int*)&d)) /* for little endian machine */ #else /* (_BYTE_ORDER != _BIG_ENDIAN) */ /* high 32 bits of Db - 1-bit sign + 11-bits exponent + 20-bit significant */ #define DB_HI(d) ((unsigned int) *(1+(int*)&d)) /* hi 20 bits of a double's significant */ #define DB_HI_SIG(d) ((unsigned int) *(1+(int*)&d) & MASK_DB_HI20) /* lower 32 bits of double's significant */ #define DB_LO_SIG(d) ((unsigned int) *((int*)&d)) #endif /* (_BYTE_ORDER==_BIG_ENDIAN) */ /* return (significant of d1) > (significant of d2) */ #define DB_GT_SIG(d1,d2) \ ((DB_HI_SIG(d1) > DB_HI_SIG(d2)) || \ ((DB_HI_SIG(d1) == DB_HI_SIG(d2)) && (DB_LO_SIG(d1) > DB_LO_SIG(d2)))) /* NAN value */ #define NAN_VAL(d) {*(int *)(&d) = 0xffffffff; *(1+(int *)&d)=0xffffffff;} /******************************************************************************* * * fmod - compute the remainder of x/y (ANSI) * * This routine returns the remainder of / with the sign of , * in double precision. * * INCLUDE FILES: math.h * * RETURNS: The value - * , for some integer . If is * non-zero, the result has the same sign as and magnitude less than the * magnitude of . If is zero, fmod() returns zero. * * ERRNO: EDOM * * SEE ALSO: mathALib */ double fmod ( double x, /* numerator */ double y /* denominator */ ) { double negative = 1.0; /* used for sign of return */ double yMult2n; /* computed next decrement */ unsigned int zeroExp_y; /* factor for next decrement */ int errx = fpTypeGet (x, NULL); /* determine number type */ int erry = fpTypeGet (y, NULL); /* determine number type */ /* * Per ISO/IEC 9899:1999, ANSI/IEEE 754-1985 * fmod ( +-0, y) = +-0 (if y != 0) * fmod ( x, y) = NAN (if x = INF or y = 0) * fmod ( x, +-INF) = x (if x != INF) */ /* check for boundary conditions returning NAN */ if (errx == NAN || erry == NAN || errx == INF || erry == ZERO) { errnoSet(EDOM); /* Domain error is set to maintain backward compatibility with ANSI X3.159-1989 */ NAN_VAL(x); return (x); /* return NAN */ } /* check for boundary conditions returning X */ if (errx == ZERO || erry == INF) return (x); /* make Y absolute */ if (y < 0.0) y = -y; /* make X absolute, record sign for return. */ if (x < 0.0) { x = -x; negative = -1.0; } /* initial decrementing conditions */ yMult2n = y; zeroExp_y= MASK_DB_MANT & (DB_HI(y)); /* compute fmod by subtracting estimated decrementations */ while (x>=y) { if (DB_GT_SIG(y,x)) { (DB_HI(yMult2n)) = ( (DB_HI(x)-0x100000) & MASK_DB_EXP ) | zeroExp_y; } else { (DB_HI(yMult2n)) = ( DB_HI(x) & MASK_DB_EXP ) | zeroExp_y; } x-= yMult2n ; } return (negative*x); }