diff --git a/src/include/Makefile b/src/include/Makefile index d4ff6feb..13ea9e56 100644 --- a/src/include/Makefile +++ b/src/include/Makefile @@ -1,4 +1,4 @@ -# $OpenBSD: Makefile,v 1.145 2008/08/22 13:02:53 kettenis Exp $ +# $OpenBSD: Makefile,v 1.146 2008/09/07 20:36:07 martynas Exp $ # $NetBSD: Makefile,v 1.59 1996/05/15 21:36:43 jtc Exp $ # @(#)Makefile 5.45.1.1 (Berkeley) 5/6/91 @@ -12,7 +12,7 @@ USE_GCC3?=No # Missing: mp.h FILES= a.out.h ar.h assert.h bitstring.h blf.h bm.h bsd_auth.h cast.h \ - cpio.h ctype.h curses.h db.h dbm.h des.h dirent.h disktab.h \ + complex.h cpio.h ctype.h curses.h db.h dbm.h des.h dirent.h disktab.h \ dlfcn.h elf_abi.h err.h errno.h fnmatch.h fstab.h fts.h ftw.h getopt.h \ glob.h grp.h ifaddrs.h inttypes.h iso646.h kvm.h langinfo.h \ libgen.h limits.h locale.h login_cap.h malloc.h math.h md4.h \ diff --git a/src/include/complex.h b/src/include/complex.h new file mode 100644 index 00000000..36cc3f99 --- /dev/null +++ b/src/include/complex.h @@ -0,0 +1,122 @@ +/* $OpenBSD: complex.h,v 1.1 2008/09/07 20:36:07 martynas Exp $ */ +/* + * Copyright (c) 2008 Martynas Venckus + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +#ifndef _COMPLEX_H_ +#define _COMPLEX_H_ + +#include + +/* + * C99 + */ +#ifdef __GNUC__ +#if __STDC_VERSION__ < 199901 +#define _Complex __complex__ +#endif +#define _Complex_I 1.0fi +#endif + +#define complex _Complex + +/* XXX switch to _Imaginary_I */ +#undef I +#define I _Complex_I + +__BEGIN_DECLS +/* + * Double versions of C99 functions + */ +double complex cacos(double complex); +double complex casin(double complex); +double complex catan(double complex); +double complex ccos(double complex); +double complex csin(double complex); +double complex ctan(double complex); +double complex cacosh(double complex); +double complex casinh(double complex); +double complex catanh(double complex); +double complex ccosh(double complex); +double complex csinh(double complex); +double complex ctanh(double complex); +double complex cexp(double complex); +double complex clog(double complex); +double cabs(double complex); +double complex cpow(double complex, double complex); +double complex csqrt(double complex); +double carg(double complex); +double cimag(double complex); +double complex conj(double complex); +double complex cproj(double complex); +double creal(double complex); + +/* + * Float versions of C99 functions + */ +float complex cacosf(float complex); +float complex casinf(float complex); +float complex catanf(float complex); +float complex ccosf(float complex); +float complex csinf(float complex); +float complex ctanf(float complex); +float complex cacoshf(float complex); +float complex casinhf(float complex); +float complex catanhf(float complex); +float complex ccoshf(float complex); +float complex csinhf(float complex); +float complex ctanhf(float complex); +float complex cexpf(float complex); +float complex clogf(float complex); +float cabsf(float complex); +float complex cpowf(float complex, float complex); +float complex csqrtf(float complex); +float cargf(float complex); +float cimagf(float complex); +float complex conjf(float complex); +float complex cprojf(float complex); +float crealf(float complex); + +/* + * Long double versions of C99 functions + */ +#if 0 +long double complex cacosl(long double complex); +long double complex casinl(long double complex); +long double complex catanl(long double complex); +long double complex ccosl(long double complex); +long double complex csinl(long double complex); +long double complex ctanl(long double complex); +long double complex cacoshl(long double complex); +long double complex casinhl(long double complex); +long double complex catanhl(long double complex); +long double complex ccoshl(long double complex); +long double complex csinhl(long double complex); +long double complex ctanhl(long double complex); +long double complex cexpl(long double complex); +long double complex clogl(long double complex); +long double cabsl(long double complex); +long double complex cpowl(long double complex, + long double complex); +long double complex csqrtl(long double complex); +long double cargl(long double complex); +long double cimagl(long double complex); +long double complex conjl(long double complex); +long double complex cprojl(long double complex); +long double creall(long double complex); +#endif +__END_DECLS + +#endif _COMPLEX_H_ /* !_COMPLEX_H_ */ diff --git a/src/include/math.h b/src/include/math.h index ba64e751..bb953739 100644 --- a/src/include/math.h +++ b/src/include/math.h @@ -1,4 +1,4 @@ -/* $OpenBSD: math.h,v 1.20 2008/07/24 09:41:58 martynas Exp $ */ +/* $OpenBSD: math.h,v 1.21 2008/09/07 20:36:07 martynas Exp $ */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. @@ -63,18 +63,6 @@ extern char __nan[]; : (sizeof (x) == sizeof (double)) ? \ __isfinite(x) \ : __isfinitel(x)) -#define isinf(x) \ - ((sizeof (x) == sizeof (float)) ? \ - isinff(x) \ - : (sizeof (x) == sizeof (double)) ? \ - __isinf(x) \ - : __isinfl(x)) -#define isnan(x) \ - ((sizeof (x) == sizeof (float)) ? \ - isnanf(x) \ - : (sizeof (x) == sizeof (double)) ? \ - __isnan(x) \ - : __isnanl(x)) #define isnormal(x) \ ((sizeof (x) == sizeof (float)) ? \ __isnormalf(x) \ @@ -97,6 +85,19 @@ extern char __nan[]; #define isunordered(x, y) (isnan(x) || isnan(y)) #endif /* __ISO_C_VISIBLE >= 1999 */ +#define isinf(x) \ + ((sizeof (x) == sizeof (float)) ? \ + isinff(x) \ + : (sizeof (x) == sizeof (double)) ? \ + __isinf(x) \ + : __isinfl(x)) +#define isnan(x) \ + ((sizeof (x) == sizeof (float)) ? \ + isnanf(x) \ + : (sizeof (x) == sizeof (double)) ? \ + __isnan(x) \ + : __isnanl(x)) + /* * XOPEN/SVID */ @@ -125,51 +126,7 @@ extern int signgam; #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ #if __BSD_VISIBLE -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 - -#ifndef __cplusplus -struct exception { - int type; - char *name; - double arg1; - double arg2; - double retval; -}; -#endif /* !__cplusplus */ - #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 - #endif /* __BSD_VISIBLE */ __BEGIN_DECLS @@ -215,9 +172,7 @@ extern double exp2(double); extern double expm1(double); extern int ilogb(double); extern double log1p(double); -#if 0 extern double log2(double); -#endif extern double logb(double); extern double scalbn(double, int); #if 0 @@ -253,11 +208,9 @@ extern double nextafter(double, double); extern double nexttoward(double, long double); #endif -#if 0 extern double fdim(double, double); extern double fmax(double, double); extern double fmin(double, double); -#endif #if 0 extern double fma(double, double, double); @@ -292,10 +245,6 @@ extern int finite(double); extern double gamma_r(double, int *); extern double lgamma_r(double, int *); -#ifdef __LIBM_PRIVATE -extern int matherr(struct exception *); -#endif /* __LIBM_PRIVATE */ - /* * IEEE Test Vector */ @@ -375,11 +324,9 @@ extern float nextafterf(float, float); extern float nexttowardf(float, long double); #endif -#if 0 extern float fdimf(float, float); extern float fmaxf(float, float); extern float fminf(float, float); -#endif #if 0 extern float fmaf(float, float, float); diff --git a/src/include/stdlib.h b/src/include/stdlib.h index bd1a2838..496090a5 100644 --- a/src/include/stdlib.h +++ b/src/include/stdlib.h @@ -1,4 +1,4 @@ -/* $OpenBSD: stdlib.h,v 1.44 2008/06/24 06:01:33 otto Exp $ */ +/* $OpenBSD: stdlib.h,v 1.45 2008/09/07 20:36:07 martynas Exp $ */ /* $NetBSD: stdlib.h,v 1.25 1995/12/27 21:19:08 jtc Exp $ */ /*- @@ -132,6 +132,8 @@ void srand(unsigned); double strtod(const char *, char **); float strtof(const char *, char **); long strtol(const char *, char **, int); +long double + strtold(const char *, char **); unsigned long strtoul(const char *, char **, int); int system(const char *); diff --git a/src/lib/libc/stdlib/Makefile.inc b/src/lib/libc/stdlib/Makefile.inc index 09db4ce7..ab8bd39f 100644 --- a/src/lib/libc/stdlib/Makefile.inc +++ b/src/lib/libc/stdlib/Makefile.inc @@ -1,4 +1,4 @@ -# $OpenBSD: Makefile.inc,v 1.39 2008/08/22 17:14:56 otto Exp $ +# $OpenBSD: Makefile.inc,v 1.40 2008/09/07 20:36:08 martynas Exp $ # stdlib sources .PATH: ${LIBCSRCDIR}/arch/${MACHINE_ARCH}/stdlib ${LIBCSRCDIR}/stdlib @@ -7,7 +7,7 @@ SRCS+= a64l.c abort.c atexit.c atoi.c atof.c atol.c atoll.c bsearch.c \ cfree.c exit.c ecvt.c gcvt.c getenv.c getopt_long.c \ getsubopt.c hcreate.c heapsort.c imaxabs.c imaxdiv.c l64a.c llabs.c \ lldiv.c lsearch.c malloc.c merge.c putenv.c qsort.c radixsort.c rand.c \ - random.c realpath.c setenv.c strtoimax.c strtod.c strtof.c strtol.c \ + random.c realpath.c setenv.c strtoimax.c strtol.c \ strtoll.c strtonum.c strtoul.c strtoull.c strtoumax.c system.c \ tfind.c tsearch.c _rand48.c drand48.c erand48.c jrand48.c lcong48.c \ lrand48.c mrand48.c nrand48.c seed48.c srand48.c qabs.c qdiv.c _Exit.c diff --git a/src/lib/libc/stdlib/strtod.c b/src/lib/libc/stdlib/strtod.c deleted file mode 100644 index 4dc3d65a..00000000 --- a/src/lib/libc/stdlib/strtod.c +++ /dev/null @@ -1,2459 +0,0 @@ -/* $OpenBSD: strtod.c,v 1.30 2006/10/30 18:30:52 deraadt Exp $ */ -/**************************************************************** - * - * The author of this software 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 - */ - -/* strtod for IEEE-, VAX-, and IBM-arithmetic machines. - * - * This strtod returns a nearest machine number to the input decimal - * string (or sets errno to ERANGE). With IEEE arithmetic, ties are - * broken by the IEEE round-even rule. Otherwise ties are broken by - * biased rounding (add half and chop). - * - * Inspired loosely by William D. Clinger's paper "How to Read Floating - * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101]. - * - * Modifications: - * - * 1. We only require IEEE, IBM, or VAX double-precision - * arithmetic (not IEEE double-extended). - * 2. We get by with floating-point arithmetic in a case that - * Clinger missed -- when we're computing d * 10^n - * for a small integer d and the integer n is not too - * much larger than 22 (the maximum integer k for which - * we can represent 10^k exactly), we may be able to - * compute (d*10^k) * 10^(e-k) with just one roundoff. - * 3. Rather than a bit-at-a-time adjustment of the binary - * result in the hard case, we use floating-point - * arithmetic to determine the adjustment to within - * one bit; only in really hard cases do we need to - * compute a second residual. - * 4. Because of 3., we don't need a large table of powers of 10 - * for ten-to-e (just some small tables, e.g. of 10^k - * for 0 <= k <= 22). - */ - -/* - * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least - * significant byte has the lowest address. - * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most - * significant byte has the lowest address. - * #define Long int on machines with 32-bit ints and 64-bit longs. - * #define Sudden_Underflow for IEEE-format machines without gradual - * underflow (i.e., that flush to zero on underflow). - * #define IBM for IBM mainframe-style floating-point arithmetic. - * #define VAX for VAX-style floating-point arithmetic. - * #define Unsigned_Shifts if >> does treats its left operand as unsigned. - * #define No_leftright to omit left-right logic in fast floating-point - * computation of dtoa. - * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3. - * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines - * that use extended-precision instructions to compute rounded - * products and quotients) with IBM. - * #define ROUND_BIASED for IEEE-format with biased rounding. - * #define Inaccurate_Divide for IEEE-format with correctly rounded - * products but inaccurate quotients, e.g., for Intel i860. - * #define Just_16 to store 16 bits per 32-bit Long when doing high-precision - * integer arithmetic. Whether this speeds things up or slows things - * down depends on the machine and the number being converted. - * #define Bad_float_h if your system lacks a float.h or if it does not - * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, - * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. - * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) - * if memory is available and otherwise does something you deem - * appropriate. If MALLOC is undefined, malloc will be invoked - * directly -- and assumed always to succeed. - */ - -#include -#if defined(__m68k__) || defined(__sparc__) || defined(__i386__) || \ - defined(__mips__) || defined(__mips64__) || defined(__ns32k__) || \ - defined(__alpha__) || defined(__powerpc__) || defined(__m88k__) || \ - defined(__hppa__) || defined(__amd64__) || defined(__sh__) || \ - defined(__sparc64__) || \ - (defined(__arm__) && defined(__VFP_FP__)) - -#if BYTE_ORDER == BIG_ENDIAN -#define IEEE_BIG_ENDIAN -#else -#define IEEE_LITTLE_ENDIAN -#endif -#endif - -#if defined(__arm__) && !defined(__VFP_FP__) -/* - * Although the CPU is little endian the FP has different - * byte and word endianness. The byte order is still little endian - * but the word order is big endian. - */ -#define IEEE_BIG_ENDIAN -#endif - -#ifdef __vax__ -#define VAX -#endif - -#define Long int32_t -#define ULong u_int32_t - -#ifdef DEBUG -#include "stdio.h" -#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} -#endif - -#include "thread_private.h" - -_THREAD_PRIVATE_KEY(dtoa); -_THREAD_PRIVATE_KEY(pow5mult); - -#ifdef __cplusplus -#include "malloc.h" -#include "memory.h" -#else -#include "stdlib.h" -#include "string.h" -#include "locale.h" -#endif - -#ifdef MALLOC -extern void *MALLOC(size_t); -#else -#define MALLOC malloc -#endif - -#include "ctype.h" -#include "errno.h" - -#ifdef Bad_float_h -#ifdef IEEE_BIG_ENDIAN -#define IEEE_ARITHMETIC -#endif -#ifdef IEEE_LITTLE_ENDIAN -#define IEEE_ARITHMETIC -#endif - -#ifdef IEEE_ARITHMETIC -#define DBL_DIG 15 -#define DBL_MAX_10_EXP 308 -#define DBL_MAX_EXP 1024 -#define FLT_RADIX 2 -#define FLT_ROUNDS 1 -#define DBL_MAX 1.7976931348623157e+308 -#endif - -#ifdef IBM -#define DBL_DIG 16 -#define DBL_MAX_10_EXP 75 -#define DBL_MAX_EXP 63 -#define FLT_RADIX 16 -#define FLT_ROUNDS 0 -#define DBL_MAX 7.2370055773322621e+75 -#endif - -#ifdef VAX -#define DBL_DIG 16 -#define DBL_MAX_10_EXP 38 -#define DBL_MAX_EXP 127 -#define FLT_RADIX 2 -#define FLT_ROUNDS 1 -#define DBL_MAX 1.7014118346046923e+38 -#endif - -#ifndef LONG_MAX -#define LONG_MAX 2147483647 -#endif -#else -#include "float.h" -#endif -#ifndef __MATH_H__ -#include "math.h" -#endif - -#ifdef __cplusplus -extern "C" { -#endif - -#ifndef CONST -#define CONST const -#endif - -#ifdef Unsigned_Shifts -#define Sign_Extend(a,b) if (b < 0) a |= 0xffff0000; -#else -#define Sign_Extend(a,b) /*no-op*/ -#endif - -#if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + \ - defined(IBM) != 1 -#error Exactly one of IEEE_LITTLE_ENDIAN IEEE_BIG_ENDIAN, VAX, or IBM should be defined. -#endif - -typedef union { - double d; - ULong ul[2]; -} _double; -#define value(x) ((x).d) -#ifdef IEEE_LITTLE_ENDIAN -#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 - -/* 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) - */ -#if defined(IEEE_LITTLE_ENDIAN) + defined(VAX) + defined(__arm__) -#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) */ - -#if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) -#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 */ -#else -#undef Sudden_Underflow -#define Sudden_Underflow -#ifdef IBM -#define Exp_shift 24 -#define Exp_shift1 24 -#define Exp_msk1 0x1000000 -#define Exp_msk11 0x1000000 -#define Exp_mask 0x7f000000 -#define P 14 -#define Bias 65 -#define Exp_1 0x41000000 -#define Exp_11 0x41000000 -#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ -#define Frac_mask 0xffffff -#define Frac_mask1 0xffffff -#define Bletch 4 -#define Ten_pmax 22 -#define Bndry_mask 0xefffff -#define Bndry_mask1 0xffffff -#define LSB 1 -#define Sign_bit 0x80000000 -#define Log2P 4 -#define Tiny0 0x100000 -#define Tiny1 0 -#define Quick_max 14 -#define Int_max 15 -#else /* VAX */ -#define Exp_shift 23 -#define Exp_shift1 7 -#define Exp_msk1 0x80 -#define Exp_msk11 0x800000 -#define Exp_mask 0x7f80 -#define P 56 -#define Bias 129 -#define Exp_1 0x40800000 -#define Exp_11 0x4080 -#define Ebits 8 -#define Frac_mask 0x7fffff -#define Frac_mask1 0xffff007f -#define Ten_pmax 24 -#define Bletch 2 -#define Bndry_mask 0xffff007f -#define Bndry_mask1 0xffff007f -#define LSB 0x10000 -#define Sign_bit 0x8000 -#define Log2P 1 -#define Tiny0 0x80 -#define Tiny1 0 -#define Quick_max 15 -#define Int_max 15 -#endif -#endif - -#ifndef IEEE_Arith -#define ROUND_BIASED -#endif - -#ifdef RND_PRODQUOT -#define rounded_product(a,b) a = rnd_prod(a, b) -#define rounded_quotient(a,b) a = rnd_quot(a, b) -extern double rnd_prod(double, double), rnd_quot(double, double); -#else -#define rounded_product(a,b) a *= b -#define rounded_quotient(a,b) a /= b -#endif - -#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) -#define Big1 0xffffffff - -#ifndef Just_16 -/* When Pack_32 is not defined, we store 16 bits per 32-bit Long. - * This makes some inner loops simpler and sometimes saves work - * during multiplications, but it often seems to make things slightly - * slower. Hence the default is now to store 32 bits per Long. - */ -#ifndef Pack_32 -#define Pack_32 -#endif -#endif - -#define Kmax 15 - -#ifdef __cplusplus -extern "C" double strtod(const char *s00, char **se); -extern "C" char *__dtoa(double d, int mode, int ndigits, - int *decpt, int *sign, char **rve); -#endif - - struct -Bigint { - struct Bigint *next; - int k, maxwds, sign, wds; - ULong x[1]; - }; - - typedef struct Bigint Bigint; - - static Bigint *freelist[Kmax+1]; - -#define PRIVATE_MEM 2304 -#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double)) - static double private_mem[PRIVATE_mem], *pmem_next = private_mem; - - static Bigint * -Balloc(int k) -{ - int x; - unsigned int len; - Bigint *rv; - - _THREAD_PRIVATE_MUTEX_LOCK(dtoa); - if ((rv = freelist[k])) { - freelist[k] = rv->next; - } - else { - x = 1 << k; - len = (sizeof(Bigint) + (x-1)*sizeof(Long) + sizeof(double) - 1) - /sizeof(double); - if (pmem_next - private_mem + len <= PRIVATE_mem) { - rv = (Bigint *)pmem_next; - pmem_next += len; - } - else - rv = (Bigint *)MALLOC(len *sizeof(double)); - rv->k = k; - rv->maxwds = x; - } - _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa); - rv->sign = rv->wds = 0; - return rv; - } - - static void -Bfree(Bigint *v) -{ - if (v) { - _THREAD_PRIVATE_MUTEX_LOCK(dtoa); - v->next = freelist[v->k]; - freelist[v->k] = v; - _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa); - } - } - -#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \ -y->wds*sizeof(Long) + 2*sizeof(int)) - -/* return value is only used as a simple string, so mis-aligned parts - * inside the Bigint are not at risk on strict align architectures - */ - static char * -rv_alloc(int i) -{ - int j, k, *r; - - j = sizeof(ULong); - for(k = 0; - sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i; - j <<= 1) - k++; - r = (int*)Balloc(k); - *r = k; - return (char *)(r+1); - } - - static char * -nrv_alloc(char *s, char **rve, int n) -{ - char *rv, *t; - - t = rv = rv_alloc(n); - while((*t = *s++) !=0) - t++; - if (rve) - *rve = t; - return rv; - } - - void -__freedtoa(char *s) -{ - Bigint *b = (Bigint *)((int *)s - 1); - b->maxwds = 1 << (b->k = *(int*)b); - Bfree(b); - } - - static Bigint * -multadd(Bigint *b, int m, int a) /* multiply by m and add a */ -{ - int i, wds; - ULong *x, y; -#ifdef Pack_32 - ULong xi, z; -#endif - Bigint *b1; - - wds = b->wds; - x = b->x; - i = 0; - do { -#ifdef Pack_32 - xi = *x; - y = (xi & 0xffff) * m + a; - z = (xi >> 16) * m + (y >> 16); - a = (int)(z >> 16); - *x++ = (z << 16) + (y & 0xffff); -#else - y = *x * m + a; - a = (int)(y >> 16); - *x++ = y & 0xffff; -#endif - } - while(++i < wds); - if (a) { - if (wds >= b->maxwds) { - b1 = Balloc(b->k+1); - Bcopy(b1, b); - Bfree(b); - b = b1; - } - b->x[wds++] = a; - b->wds = wds; - } - return b; - } - - static Bigint * -s2b(CONST char *s, int nd0, int nd, ULong y9) -{ - Bigint *b; - int i, k; - Long x, y; - - x = (nd + 8) / 9; - for(k = 0, y = 1; x > y; y <<= 1, k++) ; -#ifdef Pack_32 - b = Balloc(k); - b->x[0] = y9; - b->wds = 1; -#else - b = Balloc(k+1); - b->x[0] = y9 & 0xffff; - b->wds = (b->x[1] = y9 >> 16) ? 2 : 1; -#endif - - i = 9; - if (9 < nd0) { - s += 9; - do b = multadd(b, 10, *s++ - '0'); - while(++i < nd0); - s++; - } - else - s += 10; - for(; i < nd; i++) - b = multadd(b, 10, *s++ - '0'); - return b; - } - - static int -hi0bits(ULong x) -{ - int k = 0; - - if (!(x & 0xffff0000)) { - k = 16; - x <<= 16; - } - if (!(x & 0xff000000)) { - k += 8; - x <<= 8; - } - if (!(x & 0xf0000000)) { - k += 4; - x <<= 4; - } - if (!(x & 0xc0000000)) { - k += 2; - x <<= 2; - } - if (!(x & 0x80000000)) { - k++; - if (!(x & 0x40000000)) - return 32; - } - return k; - } - - static int -lo0bits(ULong *y) -{ - int k; - ULong x = *y; - - if (x & 7) { - if (x & 1) - return 0; - if (x & 2) { - *y = x >> 1; - return 1; - } - *y = x >> 2; - return 2; - } - k = 0; - if (!(x & 0xffff)) { - k = 16; - x >>= 16; - } - if (!(x & 0xff)) { - k += 8; - x >>= 8; - } - if (!(x & 0xf)) { - k += 4; - x >>= 4; - } - if (!(x & 0x3)) { - k += 2; - x >>= 2; - } - if (!(x & 1)) { - k++; - x >>= 1; - if (!(x & 1)) - return 32; - } - *y = x; - return k; - } - - static Bigint * -i2b(int i) -{ - Bigint *b; - - b = Balloc(1); - b->x[0] = i; - b->wds = 1; - return b; - } - - static Bigint * -mult(Bigint *a, Bigint *b) -{ - Bigint *c; - int k, wa, wb, wc; - ULong carry, y, z; - ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0; -#ifdef Pack_32 - ULong z2; -#endif - - if (a->wds < b->wds) { - c = a; - a = b; - b = c; - } - k = a->k; - wa = a->wds; - wb = b->wds; - wc = wa + wb; - if (wc > a->maxwds) - k++; - c = Balloc(k); - for(x = c->x, xa = x + wc; x < xa; x++) - *x = 0; - xa = a->x; - xae = xa + wa; - xb = b->x; - xbe = xb + wb; - xc0 = c->x; -#ifdef Pack_32 - for(; xb < xbe; xb++, xc0++) { - if ((y = *xb & 0xffff)) { - x = xa; - xc = xc0; - carry = 0; - do { - z = (*x & 0xffff) * y + (*xc & 0xffff) + carry; - carry = z >> 16; - z2 = (*x++ >> 16) * y + (*xc >> 16) + carry; - carry = z2 >> 16; - Storeinc(xc, z2, z); - } - while(x < xae); - *xc = carry; - } - if ((y = *xb >> 16)) { - x = xa; - xc = xc0; - carry = 0; - z2 = *xc; - do { - z = (*x & 0xffff) * y + (*xc >> 16) + carry; - carry = z >> 16; - Storeinc(xc, z, z2); - z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry; - carry = z2 >> 16; - } - while(x < xae); - *xc = z2; - } - } -#else - for(; xb < xbe; xc0++) { - if (y = *xb++) { - x = xa; - xc = xc0; - carry = 0; - do { - z = *x++ * y + *xc + carry; - carry = z >> 16; - *xc++ = z & 0xffff; - } - while(x < xae); - *xc = carry; - } - } -#endif - for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ; - c->wds = wc; - return c; - } - - static Bigint *p5s; - - static Bigint * -pow5mult(Bigint *b, int k) -{ - Bigint *b1, *p5, *p51; - int i; - static int p05[3] = { 5, 25, 125 }; - - if ((i = k & 3)) - b = multadd(b, p05[i-1], 0); - - if (!(k >>= 2)) - return b; - if (!(p5 = p5s)) { - /* first time */ - _THREAD_PRIVATE_MUTEX_LOCK(pow5mult); - p5 = p5s = i2b(625); - p5->next = 0; - _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult); - } - for(;;) { - if (k & 1) { - b1 = mult(b, p5); - Bfree(b); - b = b1; - } - if (!(k >>= 1)) - break; - if (!(p51 = p5->next)) { - _THREAD_PRIVATE_MUTEX_LOCK(pow5mult); - if (!(p51 = p5->next)) { - p51 = p5->next = mult(p5,p5); - p51->next = 0; - } - _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult); - } - p5 = p51; - } - return b; - } - - static Bigint * -lshift(Bigint *b, int k) -{ - int i, k1, n, n1; - Bigint *b1; - ULong *x, *x1, *xe, z; - -#ifdef Pack_32 - n = k >> 5; -#else - n = k >> 4; -#endif - k1 = b->k; - n1 = n + b->wds + 1; - for(i = b->maxwds; n1 > i; i <<= 1) - k1++; - b1 = Balloc(k1); - x1 = b1->x; - for(i = 0; i < n; i++) - *x1++ = 0; - x = b->x; - xe = x + b->wds; -#ifdef Pack_32 - if (k &= 0x1f) { - k1 = 32 - k; - z = 0; - do { - *x1++ = *x << k | z; - z = *x++ >> k1; - } - while(x < xe); - if ((*x1 = z)) - ++n1; - } -#else - if (k &= 0xf) { - k1 = 16 - k; - z = 0; - do { - *x1++ = *x << k & 0xffff | z; - z = *x++ >> k1; - } - while(x < xe); - if (*x1 = z) - ++n1; - } -#endif - else do - *x1++ = *x++; - while(x < xe); - b1->wds = n1 - 1; - Bfree(b); - return b1; - } - - static int -cmp(Bigint *a, Bigint *b) -{ - ULong *xa, *xa0, *xb, *xb0; - int i, j; - - i = a->wds; - j = b->wds; -#ifdef DEBUG - if (i > 1 && !a->x[i-1]) - Bug("cmp called with a->x[a->wds-1] == 0"); - if (j > 1 && !b->x[j-1]) - Bug("cmp called with b->x[b->wds-1] == 0"); -#endif - if (i -= j) - return i; - xa0 = a->x; - xa = xa0 + j; - xb0 = b->x; - xb = xb0 + j; - for(;;) { - if (*--xa != *--xb) - return *xa < *xb ? -1 : 1; - if (xa <= xa0) - break; - } - return 0; - } - - static Bigint * -diff(Bigint *a, Bigint *b) -{ - Bigint *c; - int i, wa, wb; - Long borrow, y; /* We need signed shifts here. */ - ULong *xa, *xae, *xb, *xbe, *xc; -#ifdef Pack_32 - Long z; -#endif - - i = cmp(a,b); - if (!i) { - c = Balloc(0); - c->wds = 1; - c->x[0] = 0; - return c; - } - if (i < 0) { - c = a; - a = b; - b = c; - i = 1; - } - else - i = 0; - c = Balloc(a->k); - c->sign = i; - wa = a->wds; - xa = a->x; - xae = xa + wa; - wb = b->wds; - xb = b->x; - xbe = xb + wb; - xc = c->x; - borrow = 0; -#ifdef Pack_32 - do { - y = (*xa & 0xffff) - (*xb & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - z = (*xa++ >> 16) - (*xb++ >> 16) + borrow; - borrow = z >> 16; - Sign_Extend(borrow, z); - Storeinc(xc, z, y); - } - while(xb < xbe); - while(xa < xae) { - y = (*xa & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - z = (*xa++ >> 16) + borrow; - borrow = z >> 16; - Sign_Extend(borrow, z); - Storeinc(xc, z, y); - } -#else - do { - y = *xa++ - *xb++ + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - *xc++ = y & 0xffff; - } - while(xb < xbe); - while(xa < xae) { - y = *xa++ + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - *xc++ = y & 0xffff; - } -#endif - while(!*--xc) - wa--; - c->wds = wa; - return c; - } - - static double -ulp(double _x) -{ - _double x; - Long L; - _double a; - - value(x) = _x; - L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1; -#ifndef Sudden_Underflow - if (L > 0) { -#endif -#ifdef IBM - L |= Exp_msk1 >> 4; -#endif - word0(a) = L; - word1(a) = 0; -#ifndef Sudden_Underflow - } - else { - L = -L >> Exp_shift; - if (L < Exp_shift) { - word0(a) = 0x80000 >> L; - word1(a) = 0; - } - else { - word0(a) = 0; - L -= Exp_shift; - word1(a) = L >= 31 ? 1 : 1 << 31 - L; - } - } -#endif - return value(a); - } - - static double -b2d(Bigint *a, int *e) -{ - ULong *xa, *xa0, w, y, z; - int k; - _double d; -#ifdef VAX - ULong d0, d1; -#else -#define d0 word0(d) -#define d1 word1(d) -#endif - - xa0 = a->x; - xa = xa0 + a->wds; - y = *--xa; -#ifdef DEBUG - if (!y) Bug("zero y in b2d"); -#endif - k = hi0bits(y); - *e = 32 - k; -#ifdef Pack_32 - if (k < Ebits) { - d0 = Exp_1 | y >> Ebits - k; - w = xa > xa0 ? *--xa : 0; - d1 = y << (32-Ebits) + k | w >> Ebits - k; - goto ret_d; - } - z = xa > xa0 ? *--xa : 0; - if (k -= Ebits) { - d0 = Exp_1 | y << k | z >> 32 - k; - y = xa > xa0 ? *--xa : 0; - d1 = z << k | y >> 32 - k; - } - else { - d0 = Exp_1 | y; - d1 = z; - } -#else - if (k < Ebits + 16) { - z = xa > xa0 ? *--xa : 0; - d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k; - w = xa > xa0 ? *--xa : 0; - y = xa > xa0 ? *--xa : 0; - d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k; - goto ret_d; - } - z = xa > xa0 ? *--xa : 0; - w = xa > xa0 ? *--xa : 0; - k -= Ebits + 16; - d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k; - y = xa > xa0 ? *--xa : 0; - d1 = w << k + 16 | y << k; -#endif - ret_d: -#ifdef VAX - word0(d) = d0 >> 16 | d0 << 16; - word1(d) = d1 >> 16 | d1 << 16; -#else -#undef d0 -#undef d1 -#endif - return value(d); - } - - static Bigint * -d2b(double _d, int *e, int *bits) -{ - Bigint *b; - int de, i, k; - ULong *x, y, z; - _double d; -#ifdef VAX - ULong d0, d1; -#endif - - value(d) = _d; -#ifdef VAX - d0 = word0(d) >> 16 | word0(d) << 16; - d1 = word1(d) >> 16 | word1(d) << 16; -#else -#define d0 word0(d) -#define d1 word1(d) -#endif - -#ifdef Pack_32 - b = Balloc(1); -#else - b = Balloc(2); -#endif - x = b->x; - - z = d0 & Frac_mask; - d0 &= 0x7fffffff; /* clear sign bit, which we ignore */ -#ifdef Sudden_Underflow - de = (int)(d0 >> Exp_shift); -#ifndef IBM - z |= Exp_msk11; -#endif -#else - if (de = (int)(d0 >> Exp_shift)) - z |= Exp_msk1; -#endif -#ifdef Pack_32 - if (y = d1) { - if (k = lo0bits(&y)) { - x[0] = y | z << 32 - k; - z >>= k; - } - else - x[0] = y; - i = b->wds = (x[1] = z) ? 2 : 1; - } - else { -#ifdef DEBUG - if (!z) - Bug("Zero passed to d2b"); -#endif - k = lo0bits(&z); - x[0] = z; - i = b->wds = 1; - k += 32; - } -#else - if (y = d1) { - if (k = lo0bits(&y)) - if (k >= 16) { - x[0] = y | z << 32 - k & 0xffff; - x[1] = z >> k - 16 & 0xffff; - x[2] = z >> k; - i = 2; - } - else { - x[0] = y & 0xffff; - x[1] = y >> 16 | z << 16 - k & 0xffff; - x[2] = z >> k & 0xffff; - x[3] = z >> k+16; - i = 3; - } - else { - x[0] = y & 0xffff; - x[1] = y >> 16; - x[2] = z & 0xffff; - x[3] = z >> 16; - i = 3; - } - } - else { -#ifdef DEBUG - if (!z) - Bug("Zero passed to d2b"); -#endif - k = lo0bits(&z); - if (k >= 16) { - x[0] = z; - i = 0; - } - else { - x[0] = z & 0xffff; - x[1] = z >> 16; - i = 1; - } - k += 32; - } - while(!x[i]) - --i; - b->wds = i + 1; -#endif -#ifndef Sudden_Underflow - if (de) { -#endif -#ifdef IBM - *e = (de - Bias - (P-1) << 2) + k; - *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask); -#else - *e = de - Bias - (P-1) + k; - *bits = P - k; -#endif -#ifndef Sudden_Underflow - } - else { - *e = de - Bias - (P-1) + 1 + k; -#ifdef Pack_32 - *bits = 32*i - hi0bits(x[i-1]); -#else - *bits = (i+2)*16 - hi0bits(x[i]); -#endif - } -#endif - return b; - } -#undef d0 -#undef d1 - - static double -ratio(Bigint *a, Bigint *b) -{ - _double da, db; - int k, ka, kb; - - value(da) = b2d(a, &ka); - value(db) = b2d(b, &kb); -#ifdef Pack_32 - k = ka - kb + 32*(a->wds - b->wds); -#else - k = ka - kb + 16*(a->wds - b->wds); -#endif -#ifdef IBM - if (k > 0) { - word0(da) += (k >> 2)*Exp_msk1; - if (k &= 3) - da *= 1 << k; - } - else { - k = -k; - word0(db) += (k >> 2)*Exp_msk1; - if (k &= 3) - db *= 1 << k; - } -#else - if (k > 0) - word0(da) += k*Exp_msk1; - else { - k = -k; - word0(db) += k*Exp_msk1; - } -#endif - return value(da) / value(db); - } - -static CONST double -tens[] = { - 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, - 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, - 1e20, 1e21, 1e22 -#ifdef VAX - , 1e23, 1e24 -#endif - }; - -#ifdef IEEE_Arith -static CONST double bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 }; -static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 }; -#define n_bigtens 5 -#else -#ifdef IBM -static CONST double bigtens[] = { 1e16, 1e32, 1e64 }; -static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 }; -#define n_bigtens 3 -#else -static CONST double bigtens[] = { 1e16, 1e32 }; -static CONST double tinytens[] = { 1e-16, 1e-32 }; -#define n_bigtens 2 -#endif -#endif - - double -strtod(CONST char *s00, char **se) -{ - int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign, - e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign; - CONST char *s, *s0, *s1; - double aadj, aadj1, adj; - /* - * volatile forces mem update for FPUs where reg size != sizeof double, - * which should trigger ERANGE in the case of underflow. - */ - volatile _double rv; - _double rv0; - Long L; - ULong y, z; - Bigint *bb, *bb1, *bd, *bd0, *bs, *delta; - - CONST char decimal_point = localeconv()->decimal_point[0]; - - sign = nz0 = nz = 0; - value(rv) = 0.; - - - for(s = s00; isspace((unsigned char) *s); s++) - ; - - if (*s == '-') { - sign = 1; - s++; - } else if (*s == '+') { - s++; - } - - if (*s == '\0') { - s = s00; - goto ret; - } - - if (*s == '0') { - nz0 = 1; - while(*++s == '0') ; - if (!*s) - goto ret; - } - s0 = s; - y = z = 0; - for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++) - if (nd < 9) - y = 10*y + c - '0'; - else if (nd < 16) - z = 10*z + c - '0'; - nd0 = nd; - if (c == decimal_point) { - c = *++s; - if (!nd) { - for(; c == '0'; c = *++s) - nz++; - if (c > '0' && c <= '9') { - s0 = s; - nf += nz; - nz = 0; - goto have_dig; - } - goto dig_done; - } - for(; c >= '0' && c <= '9'; c = *++s) { - have_dig: - nz++; - if (c -= '0') { - nf += nz; - for(i = 1; i < nz; i++) - if (nd++ < 9) - y *= 10; - else if (nd <= DBL_DIG + 1) - z *= 10; - if (nd++ < 9) - y = 10*y + c; - else if (nd <= DBL_DIG + 1) - z = 10*z + c; - nz = 0; - } - } - } - dig_done: - e = 0; - if (c == 'e' || c == 'E') { - if (!nd && !nz && !nz0) { - s = s00; - goto ret; - } - s00 = s; - esign = 0; - switch(c = *++s) { - case '-': - esign = 1; - case '+': - c = *++s; - } - if (c >= '0' && c <= '9') { - while(c == '0') - c = *++s; - if (c > '0' && c <= '9') { - L = c - '0'; - s1 = s; - while((c = *++s) >= '0' && c <= '9') - L = 10*L + c - '0'; - if (s - s1 > 8 || L > 19999) - /* Avoid confusion from exponents - * so large that e might overflow. - */ - e = 19999; /* safe for 16 bit ints */ - else - e = (int)L; - if (esign) - e = -e; - } - else - e = 0; - } - else - s = s00; - } - if (!nd) { - if (!nz && !nz0) - s = s00; - goto ret; - } - e1 = e -= nf; - - /* Now we have nd0 digits, starting at s0, followed by a - * decimal point, followed by nd-nd0 digits. The number we're - * after is the integer represented by those digits times - * 10**e */ - - if (!nd0) - nd0 = nd; - k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1; - value(rv) = y; - if (k > 9) - value(rv) = tens[k - 9] * value(rv) + z; - bd0 = 0; - if (nd <= DBL_DIG -#ifndef RND_PRODQUOT - && FLT_ROUNDS == 1 -#endif - ) { - if (!e) - goto ret; - if (e > 0) { - if (e <= Ten_pmax) { -#ifdef VAX - goto vax_ovfl_check; -#else - /* value(rv) = */ rounded_product(value(rv), - tens[e]); - goto ret; -#endif - } - i = DBL_DIG - nd; - if (e <= Ten_pmax + i) { - /* A fancier test would sometimes let us do - * this for larger i values. - */ - e -= i; - value(rv) *= tens[i]; -#ifdef VAX - /* VAX exponent range is so narrow we must - * worry about overflow here... - */ - vax_ovfl_check: - word0(rv) -= P*Exp_msk1; - /* value(rv) = */ rounded_product(value(rv), - tens[e]); - if ((word0(rv) & Exp_mask) - > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) - goto ovfl; - word0(rv) += P*Exp_msk1; -#else - /* value(rv) = */ rounded_product(value(rv), - tens[e]); -#endif - goto ret; - } - } -#ifndef Inaccurate_Divide - else if (e >= -Ten_pmax) { - /* value(rv) = */ rounded_quotient(value(rv), - tens[-e]); - goto ret; - } -#endif - } - e1 += nd - k; - - /* Get starting approximation = rv * 10**e1 */ - - if (e1 > 0) { - if (i = e1 & 15) - value(rv) *= tens[i]; - if (e1 &= ~15) { - if (e1 > DBL_MAX_10_EXP) { - ovfl: - errno = ERANGE; -#ifndef Bad_float_h - value(rv) = HUGE_VAL; -#else - /* Can't trust HUGE_VAL */ -#ifdef IEEE_Arith - word0(rv) = Exp_mask; - word1(rv) = 0; -#else - word0(rv) = Big0; - word1(rv) = Big1; -#endif -#endif - if (bd0) - goto retfree; - goto ret; - } - if (e1 >>= 4) { - for(j = 0; e1 > 1; j++, e1 >>= 1) - if (e1 & 1) - value(rv) *= bigtens[j]; - /* The last multiplication could overflow. */ - word0(rv) -= P*Exp_msk1; - value(rv) *= bigtens[j]; - if ((z = word0(rv) & Exp_mask) - > Exp_msk1*(DBL_MAX_EXP+Bias-P)) - goto ovfl; - if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) { - /* set to largest number */ - /* (Can't trust DBL_MAX) */ - word0(rv) = Big0; - word1(rv) = Big1; - } - else - word0(rv) += P*Exp_msk1; - } - - } - } - else if (e1 < 0) { - e1 = -e1; - if (i = e1 & 15) - value(rv) /= tens[i]; - if (e1 &= ~15) { - e1 >>= 4; - if (e1 >= 1 << n_bigtens) - goto undfl; - for(j = 0; e1 > 1; j++, e1 >>= 1) - if (e1 & 1) - value(rv) *= tinytens[j]; - /* The last multiplication could underflow. */ - value(rv0) = value(rv); - value(rv) *= tinytens[j]; - if (!value(rv)) { - value(rv) = 2.*value(rv0); - value(rv) *= tinytens[j]; - if (!value(rv)) { - undfl: - value(rv) = 0.; - errno = ERANGE; - if (bd0) - goto retfree; - goto ret; - } - word0(rv) = Tiny0; - word1(rv) = Tiny1; - /* The refinement below will clean - * this approximation up. - */ - } - } - } - - /* Now the hard part -- adjusting rv to the correct value.*/ - - /* Put digits into bd: true value = bd * 10^e */ - - bd0 = s2b(s0, nd0, nd, y); - - for(;;) { - bd = Balloc(bd0->k); - Bcopy(bd, bd0); - bb = d2b(value(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */ - bs = i2b(1); - - if (e >= 0) { - bb2 = bb5 = 0; - bd2 = bd5 = e; - } - else { - bb2 = bb5 = -e; - bd2 = bd5 = 0; - } - if (bbe >= 0) - bb2 += bbe; - else - bd2 -= bbe; - bs2 = bb2; -#ifdef Sudden_Underflow -#ifdef IBM - j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3); -#else - j = P + 1 - bbbits; -#endif -#else - i = bbe + bbbits - 1; /* logb(rv) */ - if (i < Emin) /* denormal */ - j = bbe + (P-Emin); - else - j = P + 1 - bbbits; -#endif - bb2 += j; - bd2 += j; - i = bb2 < bd2 ? bb2 : bd2; - if (i > bs2) - i = bs2; - if (i > 0) { - bb2 -= i; - bd2 -= i; - bs2 -= i; - } - if (bb5 > 0) { - bs = pow5mult(bs, bb5); - bb1 = mult(bs, bb); - Bfree(bb); - bb = bb1; - } - if (bb2 > 0) - bb = lshift(bb, bb2); - if (bd5 > 0) - bd = pow5mult(bd, bd5); - if (bd2 > 0) - bd = lshift(bd, bd2); - if (bs2 > 0) - bs = lshift(bs, bs2); - delta = diff(bb, bd); - dsign = delta->sign; - delta->sign = 0; - i = cmp(delta, bs); - if (i < 0) { - /* Error is less than half an ulp -- check for - * special case of mantissa a power of two. - */ - if (dsign || word1(rv) || word0(rv) & Bndry_mask) - break; - delta = lshift(delta,Log2P); - if (cmp(delta, bs) > 0) - goto drop_down; - break; - } - if (i == 0) { - /* exactly half-way between */ - if (dsign) { - if ((word0(rv) & Bndry_mask1) == Bndry_mask1 - && word1(rv) == 0xffffffff) { - /*boundary case -- increment exponent*/ - word0(rv) = (word0(rv) & Exp_mask) - + Exp_msk1 -#ifdef IBM - | Exp_msk1 >> 4 -#endif - ; - word1(rv) = 0; - break; - } - } - else if (!(word0(rv) & Bndry_mask) && !word1(rv)) { - drop_down: - /* boundary case -- decrement exponent */ -#ifdef Sudden_Underflow - L = word0(rv) & Exp_mask; -#ifdef IBM - if (L < Exp_msk1) -#else - if (L <= Exp_msk1) -#endif - goto undfl; - L -= Exp_msk1; -#else - L = (word0(rv) & Exp_mask) - Exp_msk1; -#endif - word0(rv) = L | Bndry_mask1; - word1(rv) = 0xffffffff; -#ifdef IBM - goto cont; -#else - break; -#endif - } -#ifndef ROUND_BIASED - if (!(word1(rv) & LSB)) - break; -#endif - if (dsign) - value(rv) += ulp(value(rv)); -#ifndef ROUND_BIASED - else { - value(rv) -= ulp(value(rv)); -#ifndef Sudden_Underflow - if (!value(rv)) - goto undfl; -#endif - } -#endif - break; - } - if ((aadj = ratio(delta, bs)) <= 2.) { - if (dsign) - aadj = aadj1 = 1.; - else if (word1(rv) || word0(rv) & Bndry_mask) { -#ifndef Sudden_Underflow - if (word1(rv) == Tiny1 && !word0(rv)) - goto undfl; -#endif - aadj = 1.; - aadj1 = -1.; - } - else { - /* special case -- power of FLT_RADIX to be */ - /* rounded down... */ - - if (aadj < 2./FLT_RADIX) - aadj = 1./FLT_RADIX; - else - aadj *= 0.5; - aadj1 = -aadj; - } - } - else { - aadj *= 0.5; - aadj1 = dsign ? aadj : -aadj; -#ifdef Check_FLT_ROUNDS - switch(FLT_ROUNDS) { - case 2: /* towards +infinity */ - aadj1 -= 0.5; - break; - case 0: /* towards 0 */ - case 3: /* towards -infinity */ - aadj1 += 0.5; - } -#else - if (FLT_ROUNDS == 0) - aadj1 += 0.5; -#endif - } - y = word0(rv) & Exp_mask; - - /* Check for overflow */ - - if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) { - value(rv0) = value(rv); - word0(rv) -= P*Exp_msk1; - adj = aadj1 * ulp(value(rv)); - value(rv) += adj; - if ((word0(rv) & Exp_mask) >= - Exp_msk1*(DBL_MAX_EXP+Bias-P)) { - if (word0(rv0) == Big0 && word1(rv0) == Big1) - goto ovfl; - word0(rv) = Big0; - word1(rv) = Big1; - goto cont; - } - else - word0(rv) += P*Exp_msk1; - } - else { -#ifdef Sudden_Underflow - if ((word0(rv) & Exp_mask) <= P*Exp_msk1) { - value(rv0) = value(rv); - word0(rv) += P*Exp_msk1; - adj = aadj1 * ulp(value(rv)); - value(rv) += adj; -#ifdef IBM - if ((word0(rv) & Exp_mask) < P*Exp_msk1) -#else - if ((word0(rv) & Exp_mask) <= P*Exp_msk1) -#endif - { - if (word0(rv0) == Tiny0 - && word1(rv0) == Tiny1) - goto undfl; - word0(rv) = Tiny0; - word1(rv) = Tiny1; - goto cont; - } - else - word0(rv) -= P*Exp_msk1; - } - else { - adj = aadj1 * ulp(value(rv)); - value(rv) += adj; - } -#else - /* Compute adj so that the IEEE rounding rules will - * correctly round rv + adj in some half-way cases. - * If rv * ulp(rv) is denormalized (i.e., - * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid - * trouble from bits lost to denormalization; - * example: 1.2e-307 . - */ - if (y <= (P-1)*Exp_msk1 && aadj >= 1.) { - aadj1 = (double)(int)(aadj + 0.5); - if (!dsign) - aadj1 = -aadj1; - } - adj = aadj1 * ulp(value(rv)); - value(rv) += adj; -#endif - } - z = word0(rv) & Exp_mask; - if (y == z) { - /* Can we stop now? */ - L = aadj; - aadj -= L; - /* The tolerances below are conservative. */ - if (dsign || word1(rv) || word0(rv) & Bndry_mask) { - if (aadj < .4999999 || aadj > .5000001) - break; - } - else if (aadj < .4999999/FLT_RADIX) - break; - } - cont: - Bfree(bb); - Bfree(bd); - Bfree(bs); - Bfree(delta); - } - retfree: - Bfree(bb); - Bfree(bd); - Bfree(bs); - Bfree(bd0); - Bfree(delta); - ret: - if (se) - *se = (char *)s; - return sign ? -value(rv) : value(rv); - } - - static int -quorem(Bigint *b, Bigint *S) -{ - int n; - Long borrow, y; - ULong carry, q, ys; - ULong *bx, *bxe, *sx, *sxe; -#ifdef Pack_32 - Long z; - ULong si, zs; -#endif - - n = S->wds; -#ifdef DEBUG - /*debug*/ if (b->wds > n) - /*debug*/ Bug("oversize b in quorem"); -#endif - if (b->wds < n) - return 0; - sx = S->x; - sxe = sx + --n; - bx = b->x; - bxe = bx + n; - q = *bxe / (*sxe + 1); /* ensure q <= true quotient */ -#ifdef DEBUG - /*debug*/ if (q > 9) - /*debug*/ Bug("oversized quotient in quorem"); -#endif - if (q) { - borrow = 0; - carry = 0; - do { -#ifdef Pack_32 - si = *sx++; - ys = (si & 0xffff) * q + carry; - zs = (si >> 16) * q + (ys >> 16); - carry = zs >> 16; - y = (*bx & 0xffff) - (ys & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - z = (*bx >> 16) - (zs & 0xffff) + borrow; - borrow = z >> 16; - Sign_Extend(borrow, z); - Storeinc(bx, z, y); -#else - ys = *sx++ * q + carry; - carry = ys >> 16; - y = *bx - (ys & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - *bx++ = y & 0xffff; -#endif - } - while(sx <= sxe); - if (!*bxe) { - bx = b->x; - while(--bxe > bx && !*bxe) - --n; - b->wds = n; - } - } - if (cmp(b, S) >= 0) { - q++; - borrow = 0; - carry = 0; - bx = b->x; - sx = S->x; - do { -#ifdef Pack_32 - si = *sx++; - ys = (si & 0xffff) + carry; - zs = (si >> 16) + (ys >> 16); - carry = zs >> 16; - y = (*bx & 0xffff) - (ys & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - z = (*bx >> 16) - (zs & 0xffff) + borrow; - borrow = z >> 16; - Sign_Extend(borrow, z); - Storeinc(bx, z, y); -#else - ys = *sx++ + carry; - carry = ys >> 16; - y = *bx - (ys & 0xffff) + borrow; - borrow = y >> 16; - Sign_Extend(borrow, y); - *bx++ = y & 0xffff; -#endif - } - while(sx <= sxe); - bx = b->x; - bxe = bx + n; - if (!*bxe) { - while(--bxe > bx && !*bxe) - --n; - b->wds = n; - } - } - return q; - } - -/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string. - * - * Inspired by "How to Print Floating-Point Numbers Accurately" by - * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 92-101]. - * - * Modifications: - * 1. Rather than iterating, we use a simple numeric overestimate - * to determine k = floor(log10(d)). We scale relevant - * quantities using O(log2(k)) rather than O(k) multiplications. - * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't - * try to generate digits strictly left to right. Instead, we - * compute with fewer bits and propagate the carry if necessary - * when rounding the final digit up. This is often faster. - * 3. Under the assumption that input will be rounded nearest, - * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22. - * That is, we allow equality in stopping tests when the - * round-nearest rule will give the same floating-point value - * as would satisfaction of the stopping test with strict - * inequality. - * 4. We remove common factors of powers of 2 from relevant - * quantities. - * 5. When converting floating-point integers less than 1e16, - * we use floating-point arithmetic rather than resorting - * to multiple-precision integers. - * 6. When asked to produce fewer than 15 digits, we first try - * to get by with floating-point arithmetic; we resort to - * multiple-precision integer arithmetic only if we cannot - * guarantee that the floating-point calculation has given - * the correctly rounded result. For k requested digits and - * "uniformly" distributed input, the probability is - * something like 10^(k-15) that we must resort to the Long - * calculation. - */ - - char * -__dtoa(double _d, int mode, int ndigits, int *decpt, int *sign, char **rve) -{ - /* Arguments ndigits, decpt, sign are similar to those - of ecvt and fcvt; trailing zeros are suppressed from - the returned string. If not null, *rve is set to point - to the end of the return value. If d is +-Infinity or NaN, - then *decpt is set to 9999. - - mode: - 0 ==> shortest string that yields d when read in - and rounded to nearest. - 1 ==> like 0, but with Steele & White stopping rule; - e.g. with IEEE P754 arithmetic , mode 0 gives - 1e23 whereas mode 1 gives 9.999999999999999e22. - 2 ==> max(1,ndigits) significant digits. This gives a - return value similar to that of ecvt, except - that trailing zeros are suppressed. - 3 ==> through ndigits past the decimal point. This - gives a return value similar to that from fcvt, - except that trailing zeros are suppressed, and - ndigits can be negative. - 4-9 should give the same return values as 2-3, i.e., - 4 <= mode <= 9 ==> same return as mode - 2 + (mode & 1). These modes are mainly for - debugging; often they run slower but sometimes - faster than modes 2-3. - 4,5,8,9 ==> left-to-right digit generation. - 6-9 ==> don't try fast floating-point estimate - (if applicable). - - Values of mode other than 0-9 are treated as mode 0. - - Sufficient space is allocated to the return value - to hold the suppressed trailing zeros. - */ - - int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1, - j, j1, k, k0, k_check, leftright, m2, m5, s2, s5, - spec_case, try_quick; - Long L; -#ifndef Sudden_Underflow - int denorm; - ULong x; -#endif - Bigint *b, *b1, *delta, *mlo, *mhi, *S; - double ds; - char *s, *s0; - _double d, d2, eps; - - value(d) = _d; - - if (word0(d) & Sign_bit) { - /* set sign for everything, including 0's and NaNs */ - *sign = 1; - word0(d) &= ~Sign_bit; /* clear sign bit */ - } - else - *sign = 0; - -#if defined(IEEE_Arith) + defined(VAX) -#ifdef IEEE_Arith - if ((word0(d) & Exp_mask) == Exp_mask) -#else - if (word0(d) == 0x8000) -#endif - { - /* Infinity or NaN */ - *decpt = 9999; -#ifdef IEEE_Arith - if (!word1(d) && !(word0(d) & 0xfffff)) - return nrv_alloc("Infinity", rve, 8); -#endif - return nrv_alloc("NaN", rve, 3); - } -#endif -#ifdef IBM - value(d) += 0; /* normalize */ -#endif - if (!value(d)) { - *decpt = 1; - return nrv_alloc("0", rve, 1); - } - - b = d2b(value(d), &be, &bbits); -#ifdef Sudden_Underflow - i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1)); -#else - if (i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) { -#endif - value(d2) = value(d); - word0(d2) &= Frac_mask1; - word0(d2) |= Exp_11; -#ifdef IBM - if (j = 11 - hi0bits(word0(d2) & Frac_mask)) - value(d2) /= 1 << j; -#endif - - /* log(x) ~=~ log(1.5) + (x-1.5)/1.5 - * log10(x) = log(x) / log(10) - * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10)) - * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2) - * - * This suggests computing an approximation k to log10(d) by - * - * k = (i - Bias)*0.301029995663981 - * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 ); - * - * We want k to be too large rather than too small. - * The error in the first-order Taylor series approximation - * is in our favor, so we just round up the constant enough - * to compensate for any error in the multiplication of - * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077, - * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14, - * adding 1e-13 to the constant term more than suffices. - * Hence we adjust the constant term to 0.1760912590558. - * (We could get a more accurate k by invoking log10, - * but this is probably not worthwhile.) - */ - - i -= Bias; -#ifdef IBM - i <<= 2; - i += j; -#endif -#ifndef Sudden_Underflow - denorm = 0; - } - else { - /* d is denormalized */ - - i = bbits + be + (Bias + (P-1) - 1); - x = i > 32 ? word0(d) << 64 - i | word1(d) >> i - 32 - : word1(d) << 32 - i; - value(d2) = x; - word0(d2) -= 31*Exp_msk1; /* adjust exponent */ - i -= (Bias + (P-1) - 1) + 1; - denorm = 1; - } -#endif - ds = (value(d2)-1.5)*0.289529654602168 + 0.1760912590558 + - i*0.301029995663981; - k = (int)ds; - if (ds < 0. && ds != k) - k--; /* want k = floor(ds) */ - k_check = 1; - if (k >= 0 && k <= Ten_pmax) { - if (value(d) < tens[k]) - k--; - k_check = 0; - } - j = bbits - i - 1; - if (j >= 0) { - b2 = 0; - s2 = j; - } - else { - b2 = -j; - s2 = 0; - } - if (k >= 0) { - b5 = 0; - s5 = k; - s2 += k; - } - else { - b2 -= k; - b5 = -k; - s5 = 0; - } - if (mode < 0 || mode > 9) - mode = 0; - try_quick = 1; - if (mode > 5) { - mode -= 4; - try_quick = 0; - } - leftright = 1; - switch(mode) { - case 0: - case 1: - ilim = ilim1 = -1; - i = 18; - ndigits = 0; - break; - case 2: - leftright = 0; - /* no break */ - case 4: - if (ndigits <= 0) - ndigits = 1; - ilim = ilim1 = i = ndigits; - break; - case 3: - leftright = 0; - /* no break */ - case 5: - i = ndigits + k + 1; - ilim = i; - ilim1 = i - 1; - if (i <= 0) - i = 1; - } - s = s0 = rv_alloc(i); - - if (ilim >= 0 && ilim <= Quick_max && try_quick) { - - /* Try to get by with floating-point arithmetic. */ - - i = 0; - value(d2) = value(d); - k0 = k; - ilim0 = ilim; - ieps = 2; /* conservative */ - if (k > 0) { - ds = tens[k&0xf]; - j = k >> 4; - if (j & Bletch) { - /* prevent overflows */ - j &= Bletch - 1; - value(d) /= bigtens[n_bigtens-1]; - ieps++; - } - for(; j; j >>= 1, i++) - if (j & 1) { - ieps++; - ds *= bigtens[i]; - } - value(d) /= ds; - } - else if (j1 = -k) { - value(d) *= tens[j1 & 0xf]; - for(j = j1 >> 4; j; j >>= 1, i++) - if (j & 1) { - ieps++; - value(d) *= bigtens[i]; - } - } - if (k_check && value(d) < 1. && ilim > 0) { - if (ilim1 <= 0) - goto fast_failed; - ilim = ilim1; - k--; - value(d) *= 10.; - ieps++; - } - value(eps) = ieps*value(d) + 7.; - word0(eps) -= (P-1)*Exp_msk1; - if (ilim == 0) { - S = mhi = 0; - value(d) -= 5.; - if (value(d) > value(eps)) - goto one_digit; - if (value(d) < -value(eps)) - goto no_digits; - goto fast_failed; - } -#ifndef No_leftright - if (leftright) { - /* Use Steele & White method of only - * generating digits needed. - */ - value(eps) = 0.5/tens[ilim-1] - value(eps); - for(i = 0;;) { - L = value(d); - value(d) -= L; - *s++ = '0' + (int)L; - if (value(d) < value(eps)) - goto ret1; - if (1. - value(d) < value(eps)) - goto bump_up; - if (++i >= ilim) - break; - value(eps) *= 10.; - value(d) *= 10.; - } - } - else { -#endif - /* Generate ilim digits, then fix them up. */ - value(eps) *= tens[ilim-1]; - for(i = 1;; i++, value(d) *= 10.) { - L = value(d); - value(d) -= L; - *s++ = '0' + (int)L; - if (i == ilim) { - if (value(d) > 0.5 + value(eps)) - goto bump_up; - else if (value(d) < 0.5 - value(eps)) { - while(*--s == '0'); - s++; - goto ret1; - } - break; - } - } -#ifndef No_leftright - } -#endif - fast_failed: - s = s0; - value(d) = value(d2); - k = k0; - ilim = ilim0; - } - - /* Do we have a "small" integer? */ - - if (be >= 0 && k <= Int_max) { - /* Yes. */ - ds = tens[k]; - if (ndigits < 0 && ilim <= 0) { - S = mhi = 0; - if (ilim < 0 || value(d) <= 5*ds) - goto no_digits; - goto one_digit; - } - for(i = 1;; i++) { - L = value(d) / ds; - value(d) -= L*ds; -#ifdef Check_FLT_ROUNDS - /* If FLT_ROUNDS == 2, L will usually be high by 1 */ - if (value(d) < 0) { - L--; - value(d) += ds; - } -#endif - *s++ = '0' + (int)L; - if (i == ilim) { - value(d) += value(d); - if (value(d) > ds || value(d) == ds && L & 1) { - bump_up: - while(*--s == '9') - if (s == s0) { - k++; - *s = '0'; - break; - } - ++*s++; - } - break; - } - if (!(value(d) *= 10.)) - break; - } - goto ret1; - } - - m2 = b2; - m5 = b5; - mhi = mlo = 0; - if (leftright) { - if (mode < 2) { - i = -#ifndef Sudden_Underflow - denorm ? be + (Bias + (P-1) - 1 + 1) : -#endif -#ifdef IBM - 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3); -#else - 1 + P - bbits; -#endif - } - else { - j = ilim - 1; - if (m5 >= j) - m5 -= j; - else { - s5 += j -= m5; - b5 += j; - m5 = 0; - } - if ((i = ilim) < 0) { - m2 -= i; - i = 0; - } - } - b2 += i; - s2 += i; - mhi = i2b(1); - } - if (m2 > 0 && s2 > 0) { - i = m2 < s2 ? m2 : s2; - b2 -= i; - m2 -= i; - s2 -= i; - } - if (b5 > 0) { - if (leftright) { - if (m5 > 0) { - mhi = pow5mult(mhi, m5); - b1 = mult(mhi, b); - Bfree(b); - b = b1; - } - if (j = b5 - m5) - b = pow5mult(b, j); - } - else - b = pow5mult(b, b5); - } - S = i2b(1); - if (s5 > 0) - S = pow5mult(S, s5); - - /* Check for special case that d is a normalized power of 2. */ - - if (mode < 2) { - if (!word1(d) && !(word0(d) & Bndry_mask) -#ifndef Sudden_Underflow - && word0(d) & Exp_mask -#endif - ) { - /* The special case */ - b2 += Log2P; - s2 += Log2P; - spec_case = 1; - } - else - spec_case = 0; - } - - /* Arrange for convenient computation of quotients: - * shift left if necessary so divisor has 4 leading 0 bits. - * - * Perhaps we should just compute leading 28 bits of S once - * and for all and pass them and a shift to quorem, so it - * can do shifts and ors to compute the numerator for q. - */ -#ifdef Pack_32 - if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f) - i = 32 - i; -#else - if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf) - i = 16 - i; -#endif - if (i > 4) { - i -= 4; - b2 += i; - m2 += i; - s2 += i; - } - else if (i < 4) { - i += 28; - b2 += i; - m2 += i; - s2 += i; - } - if (b2 > 0) - b = lshift(b, b2); - if (s2 > 0) - S = lshift(S, s2); - if (k_check) { - if (cmp(b,S) < 0) { - k--; - b = multadd(b, 10, 0); /* we botched the k estimate */ - if (leftright) - mhi = multadd(mhi, 10, 0); - ilim = ilim1; - } - } - if (ilim <= 0 && mode > 2) { - if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) { - /* no digits, fcvt style */ - no_digits: - k = -1 - ndigits; - goto ret; - } - one_digit: - *s++ = '1'; - k++; - goto ret; - } - if (leftright) { - if (m2 > 0) - mhi = lshift(mhi, m2); - - /* Compute mlo -- check for special case - * that d is a normalized power of 2. - */ - - mlo = mhi; - if (spec_case) { - mhi = Balloc(mhi->k); - Bcopy(mhi, mlo); - mhi = lshift(mhi, Log2P); - } - - for(i = 1;;i++) { - dig = quorem(b,S) + '0'; - /* Do we yet have the shortest decimal string - * that will round to d? - */ - j = cmp(b, mlo); - delta = diff(S, mhi); - j1 = delta->sign ? 1 : cmp(b, delta); - Bfree(delta); -#ifndef ROUND_BIASED - if (j1 == 0 && !mode && !(word1(d) & 1)) { - if (dig == '9') - goto round_9_up; - if (j > 0) - dig++; - *s++ = dig; - goto ret; - } -#endif - if (j < 0 || j == 0 && !mode -#ifndef ROUND_BIASED - && !(word1(d) & 1) -#endif - ) { - if (j1 > 0) { - b = lshift(b, 1); - j1 = cmp(b, S); - if ((j1 > 0 || j1 == 0 && dig & 1) - && dig++ == '9') - goto round_9_up; - } - *s++ = dig; - goto ret; - } - if (j1 > 0) { - if (dig == '9') { /* possible if i == 1 */ - round_9_up: - *s++ = '9'; - goto roundoff; - } - *s++ = dig + 1; - goto ret; - } - *s++ = dig; - if (i == ilim) - break; - b = multadd(b, 10, 0); - if (mlo == mhi) - mlo = mhi = multadd(mhi, 10, 0); - else { - mlo = multadd(mlo, 10, 0); - mhi = multadd(mhi, 10, 0); - } - } - } - else - for(i = 1;; i++) { - *s++ = dig = quorem(b,S) + '0'; - if (i >= ilim) - break; - b = multadd(b, 10, 0); - } - - /* Round off last digit */ - - b = lshift(b, 1); - j = cmp(b, S); - if (j > 0 || j == 0 && dig & 1) { - roundoff: - while(*--s == '9') - if (s == s0) { - k++; - *s++ = '1'; - goto ret; - } - ++*s++; - } - else { - while(*--s == '0'); - s++; - } - ret: - Bfree(S); - if (mhi) { - if (mlo && mlo != mhi) - Bfree(mlo); - Bfree(mhi); - } - ret1: - Bfree(b); - if (s == s0) { /* don't return empty string */ - *s++ = '0'; - k = 0; - } - *s = 0; - *decpt = k + 1; - if (rve) - *rve = s; - return s0; - } -#ifdef __cplusplus -} -#endif diff --git a/src/lib/libc/stdlib/strtof.c b/src/lib/libc/stdlib/strtof.c deleted file mode 100644 index 8c8db47a..00000000 --- a/src/lib/libc/stdlib/strtof.c +++ /dev/null @@ -1,39 +0,0 @@ -/* $OpenBSD: strtof.c,v 1.1 2008/06/13 21:04:24 landry Exp $ */ - -/* - * Copyright (c) 2008 Landry Breuil - * All rights reserved. - * - * Permission to use, copy, modify, and distribute this software for any - * purpose with or without fee is hereby granted, provided that the above - * copyright notice and this permission notice appear in all copies. - * - * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES - * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF - * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR - * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES - * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN - * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF - * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. - */ - -#include -#include -#include -#include - -float -strtof(const char *s00, char **se) -{ - double d; - - d = strtod(s00, se); - if (d > FLT_MAX) { - errno = ERANGE; - return (FLT_MAX); - } else if (d < -FLT_MAX) { - errno = ERANGE; - return (-FLT_MAX); - } - return ((float) d); -}