/**************************************************************** * * The author of this software (_dtoa, strtod) is David M. Gay. * * Copyright (c) 1991 by AT&T. * * Permission to use, copy, modify, and distribute this software for any * purpose without fee is hereby granted, provided that this entire notice * is included in all copies of any software which is or includes a copy * or modification of this software and in all copies of the supporting * documentation for such software. * * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. * ***************************************************************/ /* Please send bug reports to David M. Gay AT&T Bell Laboratories, Room 2C-463 600 Mountain Avenue Murray Hill, NJ 07974-2070 U.S.A. dmg@research.att.com or research!dmg */ /* Version by Howard Trickey: only IEEE, print modes needed for stdio */ #include #include #define _RESEARCH_SOURCE #include /* * #define IEEE_8087 for IEEE-arithmetic machines where the least * significant byte has the lowest address. * #define IEEE_MC68k for IEEE-arithmetic machines where the most * significant byte has the lowest address. * #define Unsigned_Shifts if >> does treats its left operand as unsigned. * #define Sudden_Underflow 1 for IEEE-format machines without gradual * underflow (i.e., that flush to zero on underflow). * #define Check_FLT_ROUNDS 1 if FLT_ROUNDS can assume the values 2 or 3. * #define ROUND_BIASED 1 for IEEE-format with biased rounding. * #define Inaccurate_Divide 1 for IEEE-format with correctly rounded * products but inaccurate quotients, e.g., for Intel i860. */ #ifdef IEEE_8087 #ifdef IEEE_MC68k Exactly one of IEEE_8087 or IEEE_MC68k #endif #else #ifndef IEEE_MC68k Exactly one of IEEE_8087 or IEEE_MC68k #endif #endif #ifndef Sudden_Underflow #define Sudden_Underflow 0 #endif #ifndef Check_FLT_ROUNDS #define Check_FLT_ROUNDS 0 #endif #ifndef ROUND_BIASED #define ROUND_BIASED 0 #endif typedef union { double d; unsigned long ul[2]; } Dul; #ifdef IEEE_8087 #define word0(x) ((x).ul[1]) #define word1(x) ((x).ul[0]) #else #define word0(x) ((x).ul[0]) #define word1(x) ((x).ul[1]) #endif #ifdef Unsigned_Shifts #define Sign_Extend(a,b) if (b < 0) a |= 0xffff0000; #else #define Sign_Extend(a,b) /*no-op*/ #endif /* The following definition of Storeinc is appropriate for MIPS processors. * An alternative that might be better on some machines is * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) */ #ifdef IEEE_8087 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ ((unsigned short *)a)[0] = (unsigned short)c, a++) #else #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ ((unsigned short *)a)[1] = (unsigned short)c, a++) #endif /* #define P DBL_MANT_DIG */ /* Ten_pmax = floor(P*log(2)/log(5)) */ /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ #define Exp_shift 20 #define Exp_shift1 20 #define Exp_msk1 0x100000 #define Exp_msk11 0x100000 #define Exp_mask 0x7ff00000 #define P 53 #define Bias 1023 #define IEEE_Arith #define Emin (-1022) #define Exp_1 0x3ff00000 #define Exp_11 0x3ff00000 #define Ebits 11 #define Frac_mask 0xfffff #define Frac_mask1 0xfffff #define Ten_pmax 22 #define Bletch 0x10 #define Bndry_mask 0xfffff #define Bndry_mask1 0xfffff #define LSB 1 #define Sign_bit 0x80000000 #define Log2P 1 #define Tiny0 0 #define Tiny1 1 #define Quick_max 14 #define Int_max 14 #define Infinite(x) (word0(x) == 0x7ff00000) /* sufficient test for here */ #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) #define Big1 0xffffffff #define Kmax 15 struct Bigint { struct Bigint *next; int k, maxwds, sign, wds; unsigned long x[1]; }; typedef struct Bigint Bigint; /* This routines shouldn't be visible externally */ extern Bigint *_Balloc(int); extern void _Bfree(Bigint *); extern Bigint *_multadd(Bigint *, int, int); extern int _hi0bits(unsigned long); extern Bigint *_mult(Bigint *, Bigint *); extern Bigint *_pow5mult(Bigint *, int); extern Bigint *_lshift(Bigint *, int); extern int _cmp(Bigint *, Bigint *); extern Bigint *_diff(Bigint *, Bigint *); extern Bigint *_d2b(double, int *, int *); extern Bigint *_i2b(int); extern double _tens[], _bigtens[], _tinytens[]; #define n_bigtens 5 #define Balloc(x) _Balloc(x) #define Bfree(x) _Bfree(x) #define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \ y->wds*sizeof(long) + 2*sizeof(int)) #define multadd(x,y,z) _multadd(x,y,z) #define hi0bits(x) _hi0bits(x) #define i2b(x) _i2b(x) #define mult(x,y) _mult(x,y) #define pow5mult(x,y) _pow5mult(x,y) #define lshift(x,y) _lshift(x,y) #define cmp(x,y) _cmp(x,y) #define diff(x,y) _diff(x,y) #define d2b(x,y,z) _d2b(x,y,z) #define tens _tens #define bigtens _bigtens #define tinytens _tinytens