diff --git a/libc/Android.mk b/libc/Android.mk index b94e5732b..fd1423213 100644 --- a/libc/Android.mk +++ b/libc/Android.mk @@ -85,7 +85,6 @@ libc_common_src_files := \ stdlib/getenv.c \ stdlib/putenv.c \ stdlib/setenv.c \ - stdlib/strtod.c \ unistd/syslog.c \ # Fortify implementations of libc functions. @@ -208,7 +207,6 @@ libc_bionic_src_files := \ bionic/strerror.cpp \ bionic/strerror_r.cpp \ bionic/strsignal.cpp \ - bionic/strtof.cpp \ bionic/strtold.cpp \ bionic/stubs.cpp \ bionic/symlink.cpp \ @@ -311,6 +309,33 @@ libc_upstream_netbsd_src_files := \ upstream-netbsd/lib/libc/thread-stub/__isthreaded.c \ upstream-netbsd/lib/libc/unistd/killpg.c \ +libc_upstream_openbsd_gdtoa_src_files := \ + upstream-openbsd/gdtoa_support.cpp \ + upstream-openbsd/lib/libc/gdtoa/dmisc.c \ + upstream-openbsd/lib/libc/gdtoa/dtoa.c \ + upstream-openbsd/lib/libc/gdtoa/gdtoa.c \ + upstream-openbsd/lib/libc/gdtoa/gethex.c \ + upstream-openbsd/lib/libc/gdtoa/gmisc.c \ + upstream-openbsd/lib/libc/gdtoa/hd_init.c \ + upstream-openbsd/lib/libc/gdtoa/hdtoa.c \ + upstream-openbsd/lib/libc/gdtoa/hexnan.c \ + upstream-openbsd/lib/libc/gdtoa/ldtoa.c \ + upstream-openbsd/lib/libc/gdtoa/misc.c \ + upstream-openbsd/lib/libc/gdtoa/smisc.c \ + upstream-openbsd/lib/libc/gdtoa/strtod.c \ + upstream-openbsd/lib/libc/gdtoa/strtodg.c \ + upstream-openbsd/lib/libc/gdtoa/strtof.c \ + upstream-openbsd/lib/libc/gdtoa/strtord.c \ + upstream-openbsd/lib/libc/gdtoa/sum.c \ + upstream-openbsd/lib/libc/gdtoa/ulp.c \ + +libc_upstream_openbsd_gdtoa_src_files_32 := \ + $(libc_upstream_openbsd_gdtoa_src_files) \ + +libc_upstream_openbsd_gdtoa_src_files_64 := \ + $(libc_upstream_openbsd_gdtoa_src_files) \ + upstream-openbsd/lib/libc/gdtoa/strtorQ.c \ + libc_upstream_openbsd_src_files := \ upstream-openbsd/lib/libc/gen/alarm.c \ upstream-openbsd/lib/libc/gen/exec.c \ @@ -614,6 +639,34 @@ $(eval $(call patch-up-arch-specific-flags,LOCAL_CFLAGS,libc_common_cflags)) include $(BUILD_STATIC_LIBRARY) +# ======================================================== +# libc_gdtoa.a - upstream OpenBSD C library gdtoa code +# ======================================================== +# +# These files are built with the openbsd-compat.h header file +# automatically included. + +include $(CLEAR_VARS) + +LOCAL_SRC_FILES_32 := $(libc_upstream_openbsd_gdtoa_src_files_32) +LOCAL_SRC_FILES_64 := $(libc_upstream_openbsd_gdtoa_src_files_64) +LOCAL_CFLAGS := \ + $(libc_common_cflags) \ + -I$(LOCAL_PATH)/upstream-openbsd \ + -I$(LOCAL_PATH)/upstream-openbsd/lib/libc/include \ + -include upstream-openbsd/openbsd-compat.h \ + +LOCAL_CONLYFLAGS := $(libc_common_conlyflags) +LOCAL_CPPFLAGS := $(libc_common_cppflags) +LOCAL_C_INCLUDES := $(libc_common_c_includes) +LOCAL_MODULE := libc_gdtoa +LOCAL_ADDITIONAL_DEPENDENCIES := $(libc_common_additional_dependencies) +LOCAL_SYSTEM_SHARED_LIBRARIES := + +$(eval $(call patch-up-arch-specific-flags,LOCAL_CFLAGS,libc_common_cflags)) +include $(BUILD_STATIC_LIBRARY) + + # ======================================================== # libc_bionic.a - home-grown C library code # ======================================================== @@ -670,12 +723,14 @@ LOCAL_CFLAGS := $(libc_common_cflags) LOCAL_CONLYFLAGS := $(libc_common_conlyflags) LOCAL_CPPFLAGS := $(libc_common_cppflags) LOCAL_C_INCLUDES := $(libc_common_c_includes) +LOCAL_ARM_MODE := arm # Work around arm linker bug http://b/14090368. LOCAL_MODULE := libc_common LOCAL_ADDITIONAL_DEPENDENCIES := $(libc_common_additional_dependencies) LOCAL_WHOLE_STATIC_LIBRARIES := \ libc_bionic \ libc_dns \ libc_freebsd \ + libc_gdtoa \ libc_netbsd \ libc_openbsd \ libc_stack_protector \ @@ -773,7 +828,7 @@ LOCAL_SRC_FILES := \ bionic/pthread_debug.cpp \ bionic/libc_init_dynamic.cpp \ -LOCAL_MODULE:= libc +LOCAL_MODULE := libc LOCAL_ADDITIONAL_DEPENDENCIES := $(libc_common_additional_dependencies) LOCAL_REQUIRED_MODULES := tzdata @@ -786,7 +841,7 @@ LOCAL_STRIP_MODULE := keep_symbols # ensures that symbols that are pulled into those new libraries from libgcc.a are not declared # external; if that were the case, then libc would not pull those symbols from libgcc.a as it # should, instead relying on the external symbols from the dependent libraries. That would -# create an "cloaked" dependency on libgcc.a in libc though the libraries, which is not what +# create a "cloaked" dependency on libgcc.a in libc though the libraries, which is not what # you wanted! LOCAL_SHARED_LIBRARIES := libdl @@ -834,7 +889,7 @@ LOCAL_SRC_FILES := \ bionic/malloc_debug_leak.cpp \ bionic/malloc_debug_check.cpp \ -LOCAL_MODULE:= libc_malloc_debug_leak +LOCAL_MODULE := libc_malloc_debug_leak LOCAL_ADDITIONAL_DEPENDENCIES := $(libc_common_additional_dependencies) LOCAL_SHARED_LIBRARIES := libc libdl @@ -865,7 +920,7 @@ LOCAL_C_INCLUDES := $(libc_common_c_includes) LOCAL_SRC_FILES := \ bionic/malloc_debug_qemu.cpp -LOCAL_MODULE:= libc_malloc_debug_qemu +LOCAL_MODULE := libc_malloc_debug_qemu LOCAL_ADDITIONAL_DEPENDENCIES := $(libc_common_additional_dependencies) LOCAL_SHARED_LIBRARIES := libc libdl diff --git a/libc/arch-arm/include/machine/ieee.h b/libc/arch-arm/include/machine/ieee.h index cf06580e3..52273cd4f 100644 --- a/libc/arch-arm/include/machine/ieee.h +++ b/libc/arch-arm/include/machine/ieee.h @@ -45,49 +45,6 @@ * @(#)ieee.h 8.1 (Berkeley) 6/11/93 */ -/* - * ieee.h defines the machine-dependent layout of the machine's IEEE - * floating point. - */ - -/* - * Define the number of bits in each fraction and exponent. - * - * k k+1 - * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented - * - * (-exp_bias+1) - * as fractions that look like 0.fffff x 2 . This means that - * - * -126 - * the number 0.10000 x 2 , for instance, is the same as the normalized - * - * -127 -128 - * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero - * - * -129 - * in the fraction; to represent 2 , we need two, and so on. This - * - * (-exp_bias-fracbits+1) - * implies that the smallest denormalized number is 2 - * - * for whichever format we are talking about: for single precision, for - * - * -126 -149 - * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and - * - * -149 == -127 - 23 + 1. - */ - -/* - * The ARM has two sets of FP data formats. The FPA supports 32-bit, 64-bit - * and 96-bit IEEE formats, with the words in big-endian order. VFP supports - * 32-bin and 64-bit IEEE formats with the words in the CPU's native byte - * order. - * - * The FPA also has two packed decimal formats, but we ignore them here. - */ - #define SNG_EXPBITS 8 #define SNG_FRACBITS 23 @@ -96,97 +53,30 @@ #define DBL_FRACLBITS 32 #define DBL_FRACBITS 52 -#ifndef __VFP_FP__ -#define E80_EXPBITS 15 -#define E80_FRACHBITS 31 -#define E80_FRACLBITS 32 -#define E80_FRACBITS 64 - -#define EXT_EXPBITS 15 -#define EXT_FRACHBITS 16 -#define EXT_FRACHMBITS 32 -#define EXT_FRACLMBITS 32 -#define EXT_FRACLBITS 32 -#define EXT_FRACBITS 112 -#endif - struct ieee_single { u_int sng_frac:23; u_int sng_exp:8; u_int sng_sign:1; }; -#ifdef __VFP_FP__ struct ieee_double { u_int dbl_fracl; u_int dbl_frach:20; u_int dbl_exp:11; u_int dbl_sign:1; }; -#else /* !__VFP_FP__ */ -struct ieee_double { - u_int dbl_frach:20; - u_int dbl_exp:11; - u_int dbl_sign:1; - u_int dbl_fracl; -}; - -union ieee_double_u { - double dblu_d; - struct ieee_double dblu_dbl; -}; - - -struct ieee_e80 { - u_int e80_exp:15; - u_int e80_zero:16; - u_int e80_sign:1; - u_int e80_frach:31; - u_int e80_j:1; - u_int e80_fracl; -}; - -struct ieee_ext { - u_int ext_frach:16; - u_int ext_exp:15; - u_int ext_sign:1; - u_int ext_frachm; - u_int ext_fraclm; - u_int ext_fracl; -}; -#endif /* !__VFP_FP__ */ /* * Floats whose exponent is in [1..INFNAN) (of whatever type) are * `normal'. Floats whose exponent is INFNAN are either Inf or NaN. * Floats whose exponent is zero are either zero (iff all fraction * bits are zero) or subnormal values. - * - * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its - * high fraction; if the bit is set, it is a `quiet NaN'. */ #define SNG_EXP_INFNAN 255 #define DBL_EXP_INFNAN 2047 -#ifndef __VFP_FP__ -#define E80_EXP_INFNAN 32767 -#define EXT_EXP_INFNAN 32767 -#endif /* !__VFP_FP__ */ - -#if 0 -#define SNG_QUIETNAN (1 << 22) -#define DBL_QUIETNAN (1 << 19) -#ifndef __VFP_FP__ -#define E80_QUIETNAN (1 << 15) -#define EXT_QUIETNAN (1 << 15) -#endif /* !__VFP_FP__ */ -#endif /* * Exponent biases. */ #define SNG_EXP_BIAS 127 #define DBL_EXP_BIAS 1023 -#ifndef __VFP_FP__ -#define E80_EXP_BIAS 16383 -#define EXT_EXP_BIAS 16383 -#endif /* !__VFP_FP__ */ diff --git a/libc/arch-arm64/include/machine/ieee.h b/libc/arch-arm64/include/machine/ieee.h index a6c024e18..3416b7df2 100644 --- a/libc/arch-arm64/include/machine/ieee.h +++ b/libc/arch-arm64/include/machine/ieee.h @@ -45,11 +45,6 @@ * @(#)ieee.h 8.1 (Berkeley) 6/11/93 */ -/* - * ieee.h defines the machine-dependent layout of the machine's IEEE - * floating point. - */ - #define SNG_EXPBITS 8 #define SNG_FRACBITS 23 @@ -58,6 +53,22 @@ #define DBL_FRACLBITS 32 #define DBL_FRACBITS 52 +#define EXT_EXPBITS 15 +#define EXT_FRACHBITS 16 +#define EXT_FRACHMBITS 32 +#define EXT_FRACLMBITS 32 +#define EXT_FRACLBITS 32 +#define EXT_FRACBITS 112 + +#define EXT_IMPLICIT_NBIT + +#define EXT_TO_ARRAY32(p, a) do { \ + (a)[0] = (uint32_t)(p)->ext_fracl; \ + (a)[1] = (uint32_t)(p)->ext_fraclm; \ + (a)[2] = (uint32_t)(p)->ext_frachm; \ + (a)[3] = (uint32_t)(p)->ext_frach; \ +} while(0) + struct ieee_single { u_int sng_frac:23; u_int sng_exp:8; @@ -71,14 +82,20 @@ struct ieee_double { u_int dbl_sign:1; }; +struct ieee_ext { + u_int ext_fracl; + u_int ext_fraclm; + u_int ext_frachm; + u_int ext_frach:16; + u_int ext_exp:15; + u_int ext_sign:1; +}; + /* * Floats whose exponent is in [1..INFNAN) (of whatever type) are * `normal'. Floats whose exponent is INFNAN are either Inf or NaN. * Floats whose exponent is zero are either zero (iff all fraction * bits are zero) or subnormal values. - * - * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its - * high fraction; if the bit is set, it is a `quiet NaN'. */ #define SNG_EXP_INFNAN 255 #define DBL_EXP_INFNAN 2047 diff --git a/libc/bionic/strtof.cpp b/libc/bionic/strtof.cpp deleted file mode 100644 index a41e4d421..000000000 --- a/libc/bionic/strtof.cpp +++ /dev/null @@ -1,34 +0,0 @@ -/* - * Copyright (C) 2014 The Android Open Source Project - * 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. - * * Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 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. - */ - -#include - -float strtof(const char* s, char** end_ptr) { - // TODO: upgrade to a non-hack implementation. - return strtod(s, end_ptr); -} diff --git a/libc/bionic/strtold.cpp b/libc/bionic/strtold.cpp index 079f393d2..08b275805 100644 --- a/libc/bionic/strtold.cpp +++ b/libc/bionic/strtold.cpp @@ -28,7 +28,16 @@ #include +extern "C" int __strtorQ(const char*, char**, int, void*); + long double strtold(const char* s, char** end_ptr) { - // TODO: this is fine for LP32 where double == long double, but is broken on LP64. +#if __LP64__ + long double result; + // TODO: use the current rounding mode? + __strtorQ(s, end_ptr, 1 /* FPI_Round_near */, &result); + return result; +#else + // This is fine for LP32 where long double is just double. return strtod(s, end_ptr); +#endif } diff --git a/libc/stdio/vfprintf.c b/libc/stdio/vfprintf.c index e33c10504..76ca659e9 100644 --- a/libc/stdio/vfprintf.c +++ b/libc/stdio/vfprintf.c @@ -146,7 +146,7 @@ __sbprintf(FILE *fp, const char *fmt, va_list ap) #define DEFPREC 6 static char *cvt(double, int, int, char *, int *, int, int *); -extern void freedtoa(char *); +extern void __freedtoa(char *); static int exponent(char *, int, int); #else /* no FLOATING_POINT */ #define BUF 40 @@ -550,7 +550,7 @@ reswitch: switch (ch) { break; } - if (dtoaresult != NULL) freedtoa(dtoaresult); + if (dtoaresult != NULL) __freedtoa(dtoaresult); flags |= FPT; dtoaresult = cp = cvt(_double, prec, flags, &softsign, &expt, ch, &ndig); @@ -846,7 +846,7 @@ done: error: #ifdef FLOATING_POINT if (dtoaresult != NULL) { - freedtoa(dtoaresult); + __freedtoa(dtoaresult); } #endif if (argtable != NULL && argtable != statargtable) { diff --git a/libc/stdlib/strtod.c b/libc/stdlib/strtod.c deleted file mode 100644 index 95d0e1921..000000000 --- a/libc/stdlib/strtod.c +++ /dev/null @@ -1,2689 +0,0 @@ -/* $NetBSD: strtod.c,v 1.45.2.1 2005/04/19 13:35:54 tron 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 KR_headers for old-style C function headers. - * #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(LIBC_SCCS) && !defined(lint) -__RCSID("$NetBSD: strtod.c,v 1.45.2.1 2005/04/19 13:35:54 tron Exp $"); -#endif /* LIBC_SCCS and not lint */ - -#define Unsigned_Shifts -#if defined(__m68k__) || defined(__sparc__) || defined(__i386__) || \ - defined(__mips__) || defined(__ns32k__) || defined(__alpha__) || \ - defined(__powerpc__) || defined(__sh__) || defined(__x86_64__) || \ - defined(__hppa__) || \ - (defined(__arm__) && defined(__VFP_FP__)) || defined(__aarch64__) -#include -#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 - -#if defined(__hppa__) || defined(__mips__) || defined(__sh__) -#define NAN_WORD0 0x7ff40000 -#else -#define NAN_WORD0 0x7ff80000 -#endif -#define NAN_WORD1 0 - -#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 - -#ifdef __cplusplus -#include "malloc.h" -#include "memory.h" -#else -#ifndef KR_headers -#include "stdlib.h" -#include "string.h" -#include "locale.h" -#else -#include "malloc.h" -#include "memory.h" -#endif -#endif -#include "../upstream-netbsd/extern.h" /* Android-changed. */ -#include "../upstream-netbsd/reentrant.h" /* Android-changed. */ - -#ifdef MALLOC -#ifdef KR_headers -extern char *MALLOC(); -#else -extern void *MALLOC(size_t); -#endif -#else -#define MALLOC malloc -#endif - -#include "ctype.h" -#include "errno.h" -#include "float.h" - -#ifndef __MATH_H__ -#include "math.h" -#endif - -#ifdef __cplusplus -extern "C" { -#endif - -#ifndef CONST -#ifdef KR_headers -#define CONST /* blank */ -#else -#define CONST const -#endif -#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 -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) \ - (((u_short *)(void *)a)[1] = \ - (u_short)b, ((u_short *)(void *)a)[0] = (u_short)c, a++) -#else -#define Storeinc(a,b,c) \ - (((u_short *)(void *)a)[0] = \ - (u_short)b, ((u_short *)(void *)a)[1] = (u_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) -#ifdef KR_headers -extern double rnd_prod(), rnd_quot(); -#else -extern double rnd_prod(double, double), rnd_quot(double, double); -#endif -#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]; - -#ifdef _REENTRANT - static mutex_t freelist_mutex = MUTEX_INITIALIZER; -#endif - -/* Special value used to indicate an invalid Bigint value, - * e.g. when a memory allocation fails. The idea is that we - * want to avoid introducing NULL checks everytime a bigint - * computation is performed. Also the NULL value can also be - * already used to indicate "value not initialized yet" and - * returning NULL might alter the execution code path in - * case of OOM. - */ -#define BIGINT_INVALID ((Bigint *)&bigint_invalid_value) - -static const Bigint bigint_invalid_value; - - -/* Return BIGINT_INVALID on allocation failure. - * - * Most of the code here depends on the fact that this function - * never returns NULL. - */ - static Bigint * -Balloc -#ifdef KR_headers - (k) int k; -#else - (int k) -#endif -{ - int x; - Bigint *rv; - - mutex_lock(&freelist_mutex); - - if ((rv = freelist[k]) != NULL) { - freelist[k] = rv->next; - } - else { - x = 1 << k; - rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(Long)); - if (rv == NULL) { - rv = BIGINT_INVALID; - goto EXIT; - } - rv->k = k; - rv->maxwds = x; - } - rv->sign = rv->wds = 0; -EXIT: - mutex_unlock(&freelist_mutex); - - return rv; -} - - static void -Bfree -#ifdef KR_headers - (v) Bigint *v; -#else - (Bigint *v) -#endif -{ - if (v && v != BIGINT_INVALID) { - mutex_lock(&freelist_mutex); - - v->next = freelist[v->k]; - freelist[v->k] = v; - - mutex_unlock(&freelist_mutex); - } -} - -#define Bcopy_valid(x,y) memcpy(&(x)->sign, &(y)->sign, \ - (y)->wds*sizeof(Long) + 2*sizeof(int)) - -#define Bcopy(x,y) Bcopy_ptr(&(x),(y)) - - static void -Bcopy_ptr(Bigint **px, Bigint *y) -{ - if (*px == BIGINT_INVALID) - return; /* no space to store copy */ - if (y == BIGINT_INVALID) { - Bfree(*px); /* invalid input */ - *px = BIGINT_INVALID; - } else { - Bcopy_valid(*px,y); - } -} - - static Bigint * -multadd -#ifdef KR_headers - (b, m, a) Bigint *b; int m, a; -#else - (Bigint *b, int m, int a) /* multiply by m and add a */ -#endif -{ - int i, wds; - ULong *x, y; -#ifdef Pack_32 - ULong xi, z; -#endif - Bigint *b1; - - if (b == BIGINT_INVALID) - return b; - - 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); - if (b1 == BIGINT_INVALID) { - Bfree(b); - return b1; - } - Bcopy_valid(b1, b); - Bfree(b); - b = b1; - } - b->x[wds++] = a; - b->wds = wds; - } - return b; -} - - static Bigint * -s2b -#ifdef KR_headers - (s, nd0, nd, y9) CONST char *s; int nd0, nd; ULong y9; -#else - (CONST char *s, int nd0, int nd, ULong y9) -#endif -{ - 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); - if (b == BIGINT_INVALID) - return b; - b->x[0] = y9; - b->wds = 1; -#else - b = Balloc(k+1); - if (b == BIGINT_INVALID) - return b; - - 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 -#ifdef KR_headers - (x) ULong x; -#else - (ULong x) -#endif -{ - 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 -#ifdef KR_headers - (y) ULong *y; -#else - (ULong *y) -#endif -{ - 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 -#ifdef KR_headers - (i) int i; -#else - (int i) -#endif -{ - Bigint *b; - - b = Balloc(1); - if (b != BIGINT_INVALID) { - b->x[0] = i; - b->wds = 1; - } - return b; -} - - static Bigint * -mult -#ifdef KR_headers - (a, b) Bigint *a, *b; -#else - (Bigint *a, Bigint *b) -#endif -{ - 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 == BIGINT_INVALID || b == BIGINT_INVALID) - return BIGINT_INVALID; - - 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); - if (c == BIGINT_INVALID) - return c; - 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) != 0) { - 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) != 0) { - 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 pthread_mutex_t p5s_mutex = PTHREAD_MUTEX_INITIALIZER; - - static Bigint * -pow5mult -#ifdef KR_headers - (b, k) Bigint *b; int k; -#else - (Bigint *b, int k) -#endif -{ - Bigint *b1, *p5, *p51; - int i; - static const int p05[3] = { 5, 25, 125 }; - - if (b == BIGINT_INVALID) - return b; - - if ((i = k & 3) != 0) - b = multadd(b, p05[i-1], 0); - - if (!(k = (unsigned int) k >> 2)) - return b; - mutex_lock(&p5s_mutex); - if (!(p5 = p5s)) { - /* first time */ - p5 = i2b(625); - if (p5 == BIGINT_INVALID) { - Bfree(b); - mutex_unlock(&p5s_mutex); - return p5; - } - p5s = p5; - p5->next = 0; - } - for(;;) { - if (k & 1) { - b1 = mult(b, p5); - Bfree(b); - b = b1; - } - if (!(k = (unsigned int) k >> 1)) - break; - if (!(p51 = p5->next)) { - p51 = mult(p5,p5); - if (p51 == BIGINT_INVALID) { - Bfree(b); - mutex_unlock(&p5s_mutex); - return p51; - } - p5->next = p51; - p51->next = 0; - } - p5 = p51; - } - mutex_unlock(&p5s_mutex); - return b; -} - - static Bigint * -lshift -#ifdef KR_headers - (b, k) Bigint *b; int k; -#else - (Bigint *b, int k) -#endif -{ - int i, k1, n, n1; - Bigint *b1; - ULong *x, *x1, *xe, z; - - if (b == BIGINT_INVALID) - return b; - -#ifdef Pack_32 - n = (unsigned int)k >> 5; -#else - n = (unsigned int)k >> 4; -#endif - k1 = b->k; - n1 = n + b->wds + 1; - for(i = b->maxwds; n1 > i; i <<= 1) - k1++; - b1 = Balloc(k1); - if (b1 == BIGINT_INVALID) { - Bfree(b); - return b1; - } - 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) != 0) - ++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 -#ifdef KR_headers - (a, b) Bigint *a, *b; -#else - (Bigint *a, Bigint *b) -#endif -{ - ULong *xa, *xa0, *xb, *xb0; - int i, j; - - if (a == BIGINT_INVALID || b == BIGINT_INVALID) -#ifdef DEBUG - Bug("cmp called with a or b invalid"); -#else - return 0; /* equal - the best we can do right now */ -#endif - - 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 -#ifdef KR_headers - (a, b) Bigint *a, *b; -#else - (Bigint *a, Bigint *b) -#endif -{ - 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 - - if (a == BIGINT_INVALID || b == BIGINT_INVALID) - return BIGINT_INVALID; - - i = cmp(a,b); - if (!i) { - c = Balloc(0); - if (c != BIGINT_INVALID) { - 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); - if (c == BIGINT_INVALID) - return c; - 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 = (ULong)y >> 16; - Sign_Extend(borrow, y); - z = (*xa++ >> 16) - (*xb++ >> 16) + borrow; - borrow = (ULong)z >> 16; - Sign_Extend(borrow, z); - Storeinc(xc, z, y); - } - while(xb < xbe); - while(xa < xae) { - y = (*xa & 0xffff) + borrow; - borrow = (ULong)y >> 16; - Sign_Extend(borrow, y); - z = (*xa++ >> 16) + borrow; - borrow = (ULong)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 -#ifdef KR_headers - (_x) double _x; -#else - (double _x) -#endif -{ - _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 = (ULong)-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 -#ifdef KR_headers - (a, e) Bigint *a; int *e; -#else - (Bigint *a, int *e) -#endif -{ - 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 - - if (a == BIGINT_INVALID) - return NAN; - - 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 -#ifdef KR_headers - (_d, e, bits) double d; int *e, *bits; -#else - (double _d, int *e, int *bits) -#endif -{ - 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 - if (b == BIGINT_INVALID) - return b; - 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)) != 0) - z |= Exp_msk1; -#endif -#ifdef Pack_32 - if ((y = d1) != 0) { - if ((k = lo0bits(&y)) != 0) { - 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 -#ifdef KR_headers - (a, b) Bigint *a, *b; -#else - (Bigint *a, Bigint *b) -#endif -{ - _double da, db; - int k, ka, kb; - - if (a == BIGINT_INVALID || b == BIGINT_INVALID) - return NAN; /* for lack of better value ? */ - - 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 -#ifdef KR_headers - (s00, se) CONST char *s00; char **se; -#else - (CONST char *s00, char **se) -#endif -{ - 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; - _double rv, rv0; - Long L; - ULong y, z; - Bigint *bb1, *bd0; - Bigint *bb = NULL, *bd = NULL, *bs = NULL, *delta = NULL;/* pacify gcc */ - -#ifndef KR_headers - CONST char decimal_point = localeconv()->decimal_point[0]; -#else - CONST char decimal_point = '.'; -#endif - - 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; - } - - /* "INF" or "INFINITY" */ - if (tolower((unsigned char)*s) == 'i' && strncasecmp(s, "inf", 3) == 0) { - if (strncasecmp(s + 3, "inity", 5) == 0) - s += 8; - else - s += 3; - - value(rv) = HUGE_VAL; - goto ret; - } - -#ifdef IEEE_Arith - /* "NAN" or "NAN(n-char-sequence-opt)" */ - if (tolower((unsigned char)*s) == 'n' && strncasecmp(s, "nan", 3) == 0) { - /* Build a quiet NaN. */ - word0(rv) = NAN_WORD0; - word1(rv) = NAN_WORD1; - s+= 3; - - /* Don't interpret (n-char-sequence-opt), for now. */ - if (*s == '(') { - s0 = s; - for (s++; *s != ')' && *s != '\0'; s++) - ; - if (*s == ')') - s++; /* Skip over closing paren ... */ - else - s = s0; /* ... otherwise go back. */ - } - - goto ret; - } -#endif - - 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; - /* FALLTHROUGH */ - 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) != 0) - value(rv) *= tens[i]; - if (e1 &= ~15) { - if (e1 > DBL_MAX_10_EXP) { - ovfl: - errno = ERANGE; - value(rv) = HUGE_VAL; - if (bd0) - goto retfree; - goto ret; - } - if ((e1 = (unsigned int)e1 >> 4) != 0) { - for(j = 0; e1 > 1; j++, - e1 = (unsigned int)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) != 0) - value(rv) /= tens[i]; - if (e1 &= ~15) { - e1 = (unsigned int)e1 >> 4; - if (e1 >= 1 << n_bigtens) - goto undfl; - for(j = 0; e1 > 1; j++, - e1 = (unsigned int)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) - /* LINTED interface specification */ - *se = (char *)s; - return sign ? -value(rv) : value(rv); -} - - static int -quorem -#ifdef KR_headers - (b, S) Bigint *b, *S; -#else - (Bigint *b, Bigint *S) -#endif -{ - int n; - Long borrow, y; - ULong carry, q, ys; - ULong *bx, *bxe, *sx, *sxe; -#ifdef Pack_32 - Long z; - ULong si, zs; -#endif - - if (b == BIGINT_INVALID || S == BIGINT_INVALID) - return 0; - - 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 = (ULong)y >> 16; - Sign_Extend(borrow, y); - z = (*bx >> 16) - (zs & 0xffff) + borrow; - borrow = (ULong)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 = (ULong)y >> 16; - Sign_Extend(borrow, y); - z = (*bx >> 16) - (zs & 0xffff) + borrow; - borrow = (ULong)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; -} - -/* freedtoa(s) must be used to free values s returned by dtoa - * when MULTIPLE_THREADS is #defined. It should be used in all cases, - * but for consistency with earlier versions of dtoa, it is optional - * when MULTIPLE_THREADS is not defined. - */ - -void -#ifdef KR_headers -freedtoa(s) char *s; -#else -freedtoa(char *s) -#endif -{ - free(s); -} - - - -/* 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. - */ - -__LIBC_HIDDEN__ char * -__dtoa -#ifdef KR_headers - (_d, mode, ndigits, decpt, sign, rve) - double _d; int mode, ndigits, *decpt, *sign; char **rve; -#else - (double _d, int mode, int ndigits, int *decpt, int *sign, char **rve) -#endif -{ - /* 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, ilim0, - j, jj1, k, k0, k_check, leftright, m2, m5, s2, s5, - try_quick; - int ilim = 0, ilim1 = 0, spec_case = 0; /* pacify gcc */ - Long L; -#ifndef Sudden_Underflow - int denorm; - ULong x; -#endif - Bigint *b, *b1, *delta, *mhi, *S; - Bigint *mlo = NULL; /* pacify gcc */ - double ds; - char *s, *s0; - Bigint *result = NULL; - int result_k = 0; - _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; - s = -#ifdef IEEE_Arith - !word1(d) && !(word0(d) & 0xfffff) ? "Infinity" : -#endif - "NaN"; - result = Balloc(strlen(s)+1); - if (result == BIGINT_INVALID) - return NULL; - s0 = (char *)(void *)result; - strcpy(s0, s); - if (rve) - *rve = -#ifdef IEEE_Arith - s0[3] ? s0 + 8 : -#endif - s0 + 3; - return s0; - } -#endif -#ifdef IBM - value(d) += 0; /* normalize */ -#endif - if (!value(d)) { - *decpt = 1; - result = Balloc(2); - if (result == BIGINT_INVALID) - return NULL; - s0 = (char *)(void *)result; - strcpy(s0, "0"); - if (rve) - *rve = s0 + 1; - return s0; - } - - 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))) != 0) { -#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; - /* FALLTHROUGH */ - case 4: - if (ndigits <= 0) - ndigits = 1; - ilim = ilim1 = i = ndigits; - break; - case 3: - leftright = 0; - /* FALLTHROUGH */ - case 5: - i = ndigits + k + 1; - ilim = i; - ilim1 = i - 1; - if (i <= 0) - i = 1; - } - j = sizeof(ULong); - for(result_k = 0; (int)(sizeof(Bigint) - sizeof(ULong)) + j <= i; - j <<= 1) result_k++; - // this is really a ugly hack, the code uses Balloc - // instead of malloc, but casts the result into a char* - // it seems the only reason to do that is due to the - // complicated way the block size need to be computed - // buuurk.... - result = Balloc(result_k); - if (result == BIGINT_INVALID) { - Bfree(b); - return NULL; - } - s = s0 = (char *)(void *)result; - - 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 = (unsigned int)k >> 4; - if (j & Bletch) { - /* prevent overflows */ - j &= Bletch - 1; - value(d) /= bigtens[n_bigtens-1]; - ieps++; - } - for(; j; j = (unsigned int)j >> 1, i++) - if (j & 1) { - ieps++; - ds *= bigtens[i]; - } - value(d) /= ds; - } - else if ((jj1 = -k) != 0) { - value(d) *= tens[jj1 & 0xf]; - for(j = (unsigned int)jj1 >> 4; j; - j = (unsigned int)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) != 0) - 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. - */ - if (S == BIGINT_INVALID) { - i = 0; - } else { -#ifdef Pack_32 - if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f) != 0) - 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); - jj1 = delta->sign ? 1 : cmp(b, delta); - Bfree(delta); -#ifndef ROUND_BIASED - if (jj1 == 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 (jj1 > 0) { - b = lshift(b, 1); - jj1 = cmp(b, S); - if ((jj1 > 0 || (jj1 == 0 && dig & 1)) - && dig++ == '9') - goto round_9_up; - } - *s++ = dig; - goto ret; - } - if (jj1 > 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/libc/upstream-openbsd/arith.h b/libc/upstream-openbsd/arith.h new file mode 100644 index 000000000..c57ce123d --- /dev/null +++ b/libc/upstream-openbsd/arith.h @@ -0,0 +1,28 @@ +/* + * Copyright (C) 2014 The Android Open Source Project + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#define IEEE_8087 +#define Arith_Kind_ASL 1 + +#if __LP64__ +#define Long int +#define Intcast (int)(long) +#define Double_Align +#define X64_bit_pointers +#endif + +#define INFNAN_CHECK +#define MULTIPLE_THREADS diff --git a/libc/upstream-openbsd/gd_qnan.h b/libc/upstream-openbsd/gd_qnan.h new file mode 100644 index 000000000..e8e907b01 --- /dev/null +++ b/libc/upstream-openbsd/gd_qnan.h @@ -0,0 +1,48 @@ +/* + * Copyright (C) 2014 The Android Open Source Project + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if __arm__ + +#define f_QNAN 0xffffffff + +#define d_QNAN0 0xffffffff +#define d_QNAN1 0xffffffff + +#elif __mips__ + +#define f_QNAN 0x7fbfffff + +#define d_QNAN0 0x7ff7ffff +#define d_QNAN1 0xffffffff + +#else + +#define f_QNAN 0xffc00000 + +#define d_QNAN0 0x00000000 +#define d_QNAN1 0xfff80000 + +#endif + +/* long double. */ +#if __LP64__ +#define ld_QNAN0 0x7fff8000 +#define ld_QNAN1 0x00000000 +#define ld_QNAN2 0x00000000 +#define ld_QNAN3 0x00000000 +#else +/* sizeof(long double) == sizeof(double), so we shouldn't be trying to use these constants. */ +#endif diff --git a/libc/upstream-openbsd/gdtoa_support.cpp b/libc/upstream-openbsd/gdtoa_support.cpp new file mode 100644 index 000000000..4e7bf3b2f --- /dev/null +++ b/libc/upstream-openbsd/gdtoa_support.cpp @@ -0,0 +1,19 @@ +/* + * Copyright (C) 2014 The Android Open Source Project + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include + +__LIBC_HIDDEN__ pthread_mutex_t __dtoa_locks[] = { PTHREAD_MUTEX_INITIALIZER, PTHREAD_MUTEX_INITIALIZER }; diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/dmisc.c b/libc/upstream-openbsd/lib/libc/gdtoa/dmisc.c new file mode 100644 index 000000000..a5795cfb7 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/dmisc.c @@ -0,0 +1,224 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + +#ifndef MULTIPLE_THREADS + char *dtoa_result; +#endif + + char * +#ifdef KR_headers +rv_alloc(i) int i; +#else +rv_alloc(int i) +#endif +{ + 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); + if (r == NULL) + return ( +#ifndef MULTIPLE_THREADS + dtoa_result = +#endif + NULL); + *r = k; + return +#ifndef MULTIPLE_THREADS + dtoa_result = +#endif + (char *)(r+1); + } + + char * +#ifdef KR_headers +nrv_alloc(s, rve, n) char *s, **rve; int n; +#else +nrv_alloc(char *s, char **rve, int n) +#endif +{ + char *rv, *t; + + t = rv = rv_alloc(n); + if (t == NULL) + return (NULL); + while((*t = *s++) !=0) + t++; + if (rve) + *rve = t; + return rv; + } + +/* freedtoa(s) must be used to free values s returned by dtoa + * when MULTIPLE_THREADS is #defined. It should be used in all cases, + * but for consistency with earlier versions of dtoa, it is optional + * when MULTIPLE_THREADS is not defined. + */ + + void +#ifdef KR_headers +freedtoa(s) char *s; +#else +freedtoa(char *s) +#endif +{ + Bigint *b = (Bigint *)((int *)s - 1); + b->maxwds = 1 << (b->k = *(int*)b); + Bfree(b); +#ifndef MULTIPLE_THREADS + if (s == dtoa_result) + dtoa_result = 0; +#endif + } + + int +quorem +#ifdef KR_headers + (b, S) Bigint *b, *S; +#else + (Bigint *b, Bigint *S) +#endif +{ + int n; + ULong *bx, *bxe, q, *sx, *sxe; +#ifdef ULLong + ULLong borrow, carry, y, ys; +#else + ULong borrow, carry, y, ys; +#ifdef Pack_32 + ULong si, z, zs; +#endif +#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 ULLong + ys = *sx++ * (ULLong)q + carry; + carry = ys >> 32; + y = *bx - (ys & 0xffffffffUL) - borrow; + borrow = y >> 32 & 1UL; + *bx++ = y & 0xffffffffUL; +#else +#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 & 0x10000) >> 16; + z = (*bx >> 16) - (zs & 0xffff) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(bx, z, y); +#else + ys = *sx++ * q + carry; + carry = ys >> 16; + y = *bx - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + *bx++ = y & 0xffff; +#endif +#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 ULLong + ys = *sx++ + carry; + carry = ys >> 32; + y = *bx - (ys & 0xffffffffUL) - borrow; + borrow = y >> 32 & 1UL; + *bx++ = y & 0xffffffffUL; +#else +#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 & 0x10000) >> 16; + z = (*bx >> 16) - (zs & 0xffff) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(bx, z, y); +#else + ys = *sx++ + carry; + carry = ys >> 16; + y = *bx - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + *bx++ = y & 0xffff; +#endif +#endif + } + while(sx <= sxe); + bx = b->x; + bxe = bx + n; + if (!*bxe) { + while(--bxe > bx && !*bxe) + --n; + b->wds = n; + } + } + return q; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/dtoa.c b/libc/upstream-openbsd/lib/libc/gdtoa/dtoa.c new file mode 100644 index 000000000..668f7b50b --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/dtoa.c @@ -0,0 +1,839 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 1999 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + +/* 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. 112-126]. + * + * 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. + */ + +#ifdef Honor_FLT_ROUNDS +#undef Check_FLT_ROUNDS +#define Check_FLT_ROUNDS +#else +#define Rounding Flt_Rounds +#endif + + char * +dtoa +#ifdef KR_headers + (d0, mode, ndigits, decpt, sign, rve) + double d0; int mode, ndigits, *decpt, *sign; char **rve; +#else + (double d0, int mode, int ndigits, int *decpt, int *sign, char **rve) +#endif +{ + /* 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. + 4,5 ==> similar to 2 and 3, respectively, but (in + round-nearest mode) with the tests of mode 0 to + possibly return a shorter string that rounds to d. + With IEEE arithmetic and compilation with + -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same + as modes 2 and 3 when FLT_ROUNDS != 1. + 6-9 ==> Debugging modes similar to mode - 4: 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; + U d, d2, eps; + double ds; + char *s, *s0; +#ifdef SET_INEXACT + int inexact, oldinexact; +#endif +#ifdef Honor_FLT_ROUNDS /*{*/ + int Rounding; +#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */ + Rounding = Flt_Rounds; +#else /*}{*/ + Rounding = 1; + switch(fegetround()) { + case FE_TOWARDZERO: Rounding = 0; break; + case FE_UPWARD: Rounding = 2; break; + case FE_DOWNWARD: Rounding = 3; + } +#endif /*}}*/ +#endif /*}*/ + +#ifndef MULTIPLE_THREADS + if (dtoa_result) { + freedtoa(dtoa_result); + dtoa_result = 0; + } +#endif + d.d = d0; + 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 + dval(&d) += 0; /* normalize */ +#endif + if (!dval(&d)) { + *decpt = 1; + return nrv_alloc("0", rve, 1); + } + +#ifdef SET_INEXACT + try_quick = oldinexact = get_inexact(); + inexact = 1; +#endif +#ifdef Honor_FLT_ROUNDS + if (Rounding >= 2) { + if (*sign) + Rounding = Rounding == 2 ? 0 : 2; + else + if (Rounding != 2) + Rounding = 0; + } +#endif + + b = d2b(dval(&d), &be, &bbits); + if (b == NULL) + return (NULL); +#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)) )!=0) { +#endif + dval(&d2) = dval(&d); + word0(&d2) &= Frac_mask1; + word0(&d2) |= Exp_11; +#ifdef IBM + if (( j = 11 - hi0bits(word0(&d2) & Frac_mask) )!=0) + dval(&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); + dval(&d2) = x; + word0(&d2) -= 31*Exp_msk1; /* adjust exponent */ + i -= (Bias + (P-1) - 1) + 1; + denorm = 1; + } +#endif + ds = (dval(&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 (dval(&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; + +#ifndef SET_INEXACT +#ifdef Check_FLT_ROUNDS + try_quick = Rounding == 1; +#else + try_quick = 1; +#endif +#endif /*SET_INEXACT*/ + + if (mode > 5) { + mode -= 4; + try_quick = 0; + } + leftright = 1; + ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */ + /* silence erroneous "gcc -Wall" warning. */ + switch(mode) { + case 0: + case 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 (s == NULL) + return (NULL); + +#ifdef Honor_FLT_ROUNDS + if (mode > 1 && Rounding != 1) + leftright = 0; +#endif + + if (ilim >= 0 && ilim <= Quick_max && try_quick) { + + /* Try to get by with floating-point arithmetic. */ + + i = 0; + dval(&d2) = dval(&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; + dval(&d) /= bigtens[n_bigtens-1]; + ieps++; + } + for(; j; j >>= 1, i++) + if (j & 1) { + ieps++; + ds *= bigtens[i]; + } + dval(&d) /= ds; + } + else if (( j1 = -k )!=0) { + dval(&d) *= tens[j1 & 0xf]; + for(j = j1 >> 4; j; j >>= 1, i++) + if (j & 1) { + ieps++; + dval(&d) *= bigtens[i]; + } + } + if (k_check && dval(&d) < 1. && ilim > 0) { + if (ilim1 <= 0) + goto fast_failed; + ilim = ilim1; + k--; + dval(&d) *= 10.; + ieps++; + } + dval(&eps) = ieps*dval(&d) + 7.; + word0(&eps) -= (P-1)*Exp_msk1; + if (ilim == 0) { + S = mhi = 0; + dval(&d) -= 5.; + if (dval(&d) > dval(&eps)) + goto one_digit; + if (dval(&d) < -dval(&eps)) + goto no_digits; + goto fast_failed; + } +#ifndef No_leftright + if (leftright) { + /* Use Steele & White method of only + * generating digits needed. + */ + dval(&eps) = 0.5/tens[ilim-1] - dval(&eps); + for(i = 0;;) { + L = dval(&d); + dval(&d) -= L; + *s++ = '0' + (int)L; + if (dval(&d) < dval(&eps)) + goto ret1; + if (1. - dval(&d) < dval(&eps)) + goto bump_up; + if (++i >= ilim) + break; + dval(&eps) *= 10.; + dval(&d) *= 10.; + } + } + else { +#endif + /* Generate ilim digits, then fix them up. */ + dval(&eps) *= tens[ilim-1]; + for(i = 1;; i++, dval(&d) *= 10.) { + L = (Long)(dval(&d)); + if (!(dval(&d) -= L)) + ilim = i; + *s++ = '0' + (int)L; + if (i == ilim) { + if (dval(&d) > 0.5 + dval(&eps)) + goto bump_up; + else if (dval(&d) < 0.5 - dval(&eps)) { + while(*--s == '0'); + s++; + goto ret1; + } + break; + } + } +#ifndef No_leftright + } +#endif + fast_failed: + s = s0; + dval(&d) = dval(&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 || dval(&d) <= 5*ds) + goto no_digits; + goto one_digit; + } + for(i = 1;; i++, dval(&d) *= 10.) { + L = (Long)(dval(&d) / ds); + dval(&d) -= L*ds; +#ifdef Check_FLT_ROUNDS + /* If FLT_ROUNDS == 2, L will usually be high by 1 */ + if (dval(&d) < 0) { + L--; + dval(&d) += ds; + } +#endif + *s++ = '0' + (int)L; + if (!dval(&d)) { +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + if (i == ilim) { +#ifdef Honor_FLT_ROUNDS + if (mode > 1) + switch(Rounding) { + case 0: goto ret1; + case 2: goto bump_up; + } +#endif + dval(&d) += dval(&d); +#ifdef ROUND_BIASED + if (dval(&d) >= ds) +#else + if (dval(&d) > ds || (dval(&d) == ds && L & 1)) +#endif + { + bump_up: + while(*--s == '9') + if (s == s0) { + k++; + *s = '0'; + break; + } + ++*s++; + } + break; + } + } + goto ret1; + } + + m2 = b2; + m5 = b5; + mhi = mlo = 0; + if (leftright) { + 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 + b2 += i; + s2 += i; + mhi = i2b(1); + if (mhi == NULL) + return (NULL); + } + 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); + if (mhi == NULL) + return (NULL); + b1 = mult(mhi, b); + if (b1 == NULL) + return (NULL); + Bfree(b); + b = b1; + } + if (( j = b5 - m5 )!=0) { + b = pow5mult(b, j); + if (b == NULL) + return (NULL); + } + } + else { + b = pow5mult(b, b5); + if (b == NULL) + return (NULL); + } + } + S = i2b(1); + if (S == NULL) + return (NULL); + if (s5 > 0) { + S = pow5mult(S, s5); + if (S == NULL) + return (NULL); + } + + /* Check for special case that d is a normalized power of 2. */ + + spec_case = 0; + if ((mode < 2 || leftright) +#ifdef Honor_FLT_ROUNDS + && Rounding == 1 +#endif + ) { + if (!word1(&d) && !(word0(&d) & Bndry_mask) +#ifndef Sudden_Underflow + && word0(&d) & (Exp_mask & ~Exp_msk1) +#endif + ) { + /* The special case */ + b2 += Log2P; + s2 += Log2P; + spec_case = 1; + } + } + + /* 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 )!=0) + i = 32 - i; +#else + if (( i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf )!=0) + 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 (b == NULL) + return (NULL); + } + if (s2 > 0) { + S = lshift(S, s2); + if (S == NULL) + return (NULL); + } + if (k_check) { + if (cmp(b,S) < 0) { + k--; + b = multadd(b, 10, 0); /* we botched the k estimate */ + if (b == NULL) + return (NULL); + if (leftright) { + mhi = multadd(mhi, 10, 0); + if (mhi == NULL) + return (NULL); + } + ilim = ilim1; + } + } + if (ilim <= 0 && (mode == 3 || mode == 5)) { + S = multadd(S,5,0); + if (S == NULL) + return (NULL); + if (ilim < 0 || cmp(b,S) <= 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); + if (mhi == NULL) + return (NULL); + } + + /* Compute mlo -- check for special case + * that d is a normalized power of 2. + */ + + mlo = mhi; + if (spec_case) { + mhi = Balloc(mhi->k); + if (mhi == NULL) + return (NULL); + Bcopy(mhi, mlo); + mhi = lshift(mhi, Log2P); + if (mhi == NULL) + return (NULL); + } + + 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); + if (delta == NULL) + return (NULL); + j1 = delta->sign ? 1 : cmp(b, delta); + Bfree(delta); +#ifndef ROUND_BIASED + if (j1 == 0 && mode != 1 && !(word1(&d) & 1) +#ifdef Honor_FLT_ROUNDS + && Rounding >= 1 +#endif + ) { + if (dig == '9') + goto round_9_up; + if (j > 0) + dig++; +#ifdef SET_INEXACT + else if (!b->x[0] && b->wds <= 1) + inexact = 0; +#endif + *s++ = dig; + goto ret; + } +#endif + if (j < 0 || (j == 0 && mode != 1 +#ifndef ROUND_BIASED + && !(word1(&d) & 1) +#endif + )) { + if (!b->x[0] && b->wds <= 1) { +#ifdef SET_INEXACT + inexact = 0; +#endif + goto accept_dig; + } +#ifdef Honor_FLT_ROUNDS + if (mode > 1) + switch(Rounding) { + case 0: goto accept_dig; + case 2: goto keep_dig; + } +#endif /*Honor_FLT_ROUNDS*/ + if (j1 > 0) { + b = lshift(b, 1); + if (b == NULL) + return (NULL); + j1 = cmp(b, S); +#ifdef ROUND_BIASED + if (j1 >= 0 /*)*/ +#else + if ((j1 > 0 || (j1 == 0 && dig & 1)) +#endif + && dig++ == '9') + goto round_9_up; + } + accept_dig: + *s++ = dig; + goto ret; + } + if (j1 > 0) { +#ifdef Honor_FLT_ROUNDS + if (!Rounding) + goto accept_dig; +#endif + if (dig == '9') { /* possible if i == 1 */ + round_9_up: + *s++ = '9'; + goto roundoff; + } + *s++ = dig + 1; + goto ret; + } +#ifdef Honor_FLT_ROUNDS + keep_dig: +#endif + *s++ = dig; + if (i == ilim) + break; + b = multadd(b, 10, 0); + if (b == NULL) + return (NULL); + if (mlo == mhi) { + mlo = mhi = multadd(mhi, 10, 0); + if (mlo == NULL) + return (NULL); + } + else { + mlo = multadd(mlo, 10, 0); + if (mlo == NULL) + return (NULL); + mhi = multadd(mhi, 10, 0); + if (mhi == NULL) + return (NULL); + } + } + } + else + for(i = 1;; i++) { + *s++ = dig = quorem(b,S) + '0'; + if (!b->x[0] && b->wds <= 1) { +#ifdef SET_INEXACT + inexact = 0; +#endif + goto ret; + } + if (i >= ilim) + break; + b = multadd(b, 10, 0); + if (b == NULL) + return (NULL); + } + + /* Round off last digit */ + +#ifdef Honor_FLT_ROUNDS + switch(Rounding) { + case 0: goto trimzeros; + case 2: goto roundoff; + } +#endif + b = lshift(b, 1); + if (b == NULL) + return (NULL); + j = cmp(b, S); +#ifdef ROUND_BIASED + if (j >= 0) +#else + if (j > 0 || (j == 0 && dig & 1)) +#endif + { + roundoff: + while(*--s == '9') + if (s == s0) { + k++; + *s++ = '1'; + goto ret; + } + ++*s++; + } + else { +#ifdef Honor_FLT_ROUNDS + trimzeros: +#endif + while(*--s == '0'); + s++; + } + ret: + Bfree(S); + if (mhi) { + if (mlo && mlo != mhi) + Bfree(mlo); + Bfree(mhi); + } + ret1: +#ifdef SET_INEXACT + if (inexact) { + if (!oldinexact) { + word0(&d) = Exp_1 + (70 << Exp_shift); + word1(&d) = 0; + dval(&d) += 1.; + } + } + else if (!oldinexact) + clear_inexact(); +#endif + Bfree(b); + *s = 0; + *decpt = k + 1; + if (rve) + *rve = s; + return s0; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.c b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.c new file mode 100644 index 000000000..fd11de560 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.c @@ -0,0 +1,829 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 1999 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + static Bigint * +#ifdef KR_headers +bitstob(bits, nbits, bbits) ULong *bits; int nbits; int *bbits; +#else +bitstob(ULong *bits, int nbits, int *bbits) +#endif +{ + int i, k; + Bigint *b; + ULong *be, *x, *x0; + + i = ULbits; + k = 0; + while(i < nbits) { + i <<= 1; + k++; + } +#ifndef Pack_32 + if (!k) + k = 1; +#endif + b = Balloc(k); + if (b == NULL) + return (NULL); + be = bits + ((nbits - 1) >> kshift); + x = x0 = b->x; + do { + *x++ = *bits & ALL_ON; +#ifdef Pack_16 + *x++ = (*bits >> 16) & ALL_ON; +#endif + } while(++bits <= be); + i = x - x0; + while(!x0[--i]) + if (!i) { + b->wds = 0; + *bbits = 0; + goto ret; + } + b->wds = i + 1; + *bbits = i*ULbits + 32 - hi0bits(b->x[i]); + ret: + return b; + } + +/* 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. 112-126]. + * + * 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 * +gdtoa +#ifdef KR_headers + (fpi, be, bits, kindp, mode, ndigits, decpt, rve) + FPI *fpi; int be; ULong *bits; + int *kindp, mode, ndigits, *decpt; char **rve; +#else + (FPI *fpi, int be, ULong *bits, int *kindp, int mode, int ndigits, int *decpt, char **rve) +#endif +{ + /* Arguments ndigits and decpt are similar to the second and third + arguments 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. + be = exponent: value = (integer represented by bits) * (2 to the power of be). + + 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, be0, dig, i, ieps, ilim, ilim0, ilim1, inex; + int j, j1, k, k0, k_check, kind, leftright, m2, m5, nbits; + int rdir, s2, s5, spec_case, try_quick; + Long L; + Bigint *b, *b1, *delta, *mlo, *mhi, *mhi1, *S; + double d2, ds; + char *s, *s0; + U d, eps; + +#ifndef MULTIPLE_THREADS + if (dtoa_result) { + freedtoa(dtoa_result); + dtoa_result = 0; + } +#endif + inex = 0; + kind = *kindp &= ~STRTOG_Inexact; + switch(kind & STRTOG_Retmask) { + case STRTOG_Zero: + goto ret_zero; + case STRTOG_Normal: + case STRTOG_Denormal: + break; + case STRTOG_Infinite: + *decpt = -32768; + return nrv_alloc("Infinity", rve, 8); + case STRTOG_NaN: + *decpt = -32768; + return nrv_alloc("NaN", rve, 3); + default: + return 0; + } + b = bitstob(bits, nbits = fpi->nbits, &bbits); + if (b == NULL) + return (NULL); + be0 = be; + if ( (i = trailz(b)) !=0) { + rshift(b, i); + be += i; + bbits -= i; + } + if (!b->wds) { + Bfree(b); + ret_zero: + *decpt = 1; + return nrv_alloc("0", rve, 1); + } + + dval(&d) = b2d(b, &i); + i = be + bbits - 1; + word0(&d) &= Frac_mask1; + word0(&d) |= Exp_11; +#ifdef IBM + if ( (j = 11 - hi0bits(word0(&d) & Frac_mask)) !=0) + dval(&d) /= 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.) + */ +#ifdef IBM + i <<= 2; + i += j; +#endif + ds = (dval(&d)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981; + + /* correct assumption about exponent range */ + if ((j = i) < 0) + j = -j; + if ((j -= 1077) > 0) + ds += j * 7e-17; + + k = (int)ds; + if (ds < 0. && ds != k) + k--; /* want k = floor(ds) */ + k_check = 1; +#ifdef IBM + j = be + bbits - 1; + if ( (j1 = j & 3) !=0) + dval(&d) *= 1 << j1; + word0(&d) += j << Exp_shift - 2 & Exp_mask; +#else + word0(&d) += (be + bbits - 1) << Exp_shift; +#endif + if (k >= 0 && k <= Ten_pmax) { + if (dval(&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; + } + else if (i >= -4 - Emin || i < Emin) + try_quick = 0; + leftright = 1; + ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */ + /* silence erroneous "gcc -Wall" warning. */ + switch(mode) { + case 0: + case 1: + i = (int)(nbits * .30103) + 3; + 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 (s == NULL) + return (NULL); + + if ( (rdir = fpi->rounding - 1) !=0) { + if (rdir < 0) + rdir = 2; + if (kind & STRTOG_Neg) + rdir = 3 - rdir; + } + + /* Now rdir = 0 ==> round near, 1 ==> round up, 2 ==> round down. */ + + if (ilim >= 0 && ilim <= Quick_max && try_quick && !rdir +#ifndef IMPRECISE_INEXACT + && k == 0 +#endif + ) { + + /* Try to get by with floating-point arithmetic. */ + + i = 0; + d2 = dval(&d); +#ifdef IBM + if ( (j = 11 - hi0bits(word0(&d) & Frac_mask)) !=0) + dval(&d) /= 1 << j; +#endif + 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; + dval(&d) /= bigtens[n_bigtens-1]; + ieps++; + } + for(; j; j >>= 1, i++) + if (j & 1) { + ieps++; + ds *= bigtens[i]; + } + } + else { + ds = 1.; + if ( (j1 = -k) !=0) { + dval(&d) *= tens[j1 & 0xf]; + for(j = j1 >> 4; j; j >>= 1, i++) + if (j & 1) { + ieps++; + dval(&d) *= bigtens[i]; + } + } + } + if (k_check && dval(&d) < 1. && ilim > 0) { + if (ilim1 <= 0) + goto fast_failed; + ilim = ilim1; + k--; + dval(&d) *= 10.; + ieps++; + } + dval(&eps) = ieps*dval(&d) + 7.; + word0(&eps) -= (P-1)*Exp_msk1; + if (ilim == 0) { + S = mhi = 0; + dval(&d) -= 5.; + if (dval(&d) > dval(&eps)) + goto one_digit; + if (dval(&d) < -dval(&eps)) + goto no_digits; + goto fast_failed; + } +#ifndef No_leftright + if (leftright) { + /* Use Steele & White method of only + * generating digits needed. + */ + dval(&eps) = ds*0.5/tens[ilim-1] - dval(&eps); + for(i = 0;;) { + L = (Long)(dval(&d)/ds); + dval(&d) -= L*ds; + *s++ = '0' + (int)L; + if (dval(&d) < dval(&eps)) { + if (dval(&d)) + inex = STRTOG_Inexlo; + goto ret1; + } + if (ds - dval(&d) < dval(&eps)) + goto bump_up; + if (++i >= ilim) + break; + dval(&eps) *= 10.; + dval(&d) *= 10.; + } + } + else { +#endif + /* Generate ilim digits, then fix them up. */ + dval(&eps) *= tens[ilim-1]; + for(i = 1;; i++, dval(&d) *= 10.) { + if ( (L = (Long)(dval(&d)/ds)) !=0) + dval(&d) -= L*ds; + *s++ = '0' + (int)L; + if (i == ilim) { + ds *= 0.5; + if (dval(&d) > ds + dval(&eps)) + goto bump_up; + else if (dval(&d) < ds - dval(&eps)) { + if (dval(&d)) + inex = STRTOG_Inexlo; + goto clear_trailing0; + } + break; + } + } +#ifndef No_leftright + } +#endif + fast_failed: + s = s0; + dval(&d) = 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 || dval(&d) <= 5*ds) + goto no_digits; + goto one_digit; + } + for(i = 1;; i++, dval(&d) *= 10.) { + L = dval(&d) / ds; + dval(&d) -= L*ds; +#ifdef Check_FLT_ROUNDS + /* If FLT_ROUNDS == 2, L will usually be high by 1 */ + if (dval(&d) < 0) { + L--; + dval(&d) += ds; + } +#endif + *s++ = '0' + (int)L; + if (dval(&d) == 0.) + break; + if (i == ilim) { + if (rdir) { + if (rdir == 1) + goto bump_up; + inex = STRTOG_Inexlo; + goto ret1; + } + dval(&d) += dval(&d); +#ifdef ROUND_BIASED + if (dval(&d) >= ds) +#else + if (dval(&d) > ds || (dval(&d) == ds && L & 1)) +#endif + { + bump_up: + inex = STRTOG_Inexhi; + while(*--s == '9') + if (s == s0) { + k++; + *s = '0'; + break; + } + ++*s++; + } + else { + inex = STRTOG_Inexlo; + clear_trailing0: + while(*--s == '0'){} + ++s; + } + break; + } + } + goto ret1; + } + + m2 = b2; + m5 = b5; + mhi = mlo = 0; + if (leftright) { + i = nbits - bbits; + if (be - i++ < fpi->emin && mode != 3 && mode != 5) { + /* denormal */ + i = be - fpi->emin + 1; + if (mode >= 2 && ilim > 0 && ilim < i) + goto small_ilim; + } + else if (mode >= 2) { + small_ilim: + 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 (mhi == NULL) + return (NULL); + } + 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); + if (mhi == NULL) + return (NULL); + b1 = mult(mhi, b); + if (b1 == NULL) + return (NULL); + Bfree(b); + b = b1; + } + if ( (j = b5 - m5) !=0) { + b = pow5mult(b, j); + if (b == NULL) + return (NULL); + } + } + else { + b = pow5mult(b, b5); + if (b == NULL) + return (NULL); + } + } + S = i2b(1); + if (S == NULL) + return (NULL); + if (s5 > 0) { + S = pow5mult(S, s5); + if (S == NULL) + return (NULL); + } + + /* Check for special case that d is a normalized power of 2. */ + + spec_case = 0; + if (mode < 2) { + if (bbits == 1 && be0 > fpi->emin + 1) { + /* The special case */ + b2++; + s2++; + spec_case = 1; + } + } + + /* 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. + */ + i = ((s5 ? hi0bits(S->x[S->wds-1]) : ULbits - 1) - s2 - 4) & kmask; + m2 += i; + if ((b2 += i) > 0) { + b = lshift(b, b2); + if (b == NULL) + return (NULL); + } + if ((s2 += i) > 0) { + S = lshift(S, s2); + if (S == NULL) + return (NULL); + } + if (k_check) { + if (cmp(b,S) < 0) { + k--; + b = multadd(b, 10, 0); /* we botched the k estimate */ + if (b == NULL) + return (NULL); + if (leftright) { + mhi = multadd(mhi, 10, 0); + if (mhi == NULL) + return (NULL); + } + ilim = ilim1; + } + } + if (ilim <= 0 && mode > 2) { + S = multadd(S,5,0); + if (S == NULL) + return (NULL); + if (ilim < 0 || cmp(b,S) <= 0) { + /* no digits, fcvt style */ + no_digits: + k = -1 - ndigits; + inex = STRTOG_Inexlo; + goto ret; + } + one_digit: + inex = STRTOG_Inexhi; + *s++ = '1'; + k++; + goto ret; + } + if (leftright) { + if (m2 > 0) { + mhi = lshift(mhi, m2); + if (mhi == NULL) + return (NULL); + } + + /* Compute mlo -- check for special case + * that d is a normalized power of 2. + */ + + mlo = mhi; + if (spec_case) { + mhi = Balloc(mhi->k); + if (mhi == NULL) + return (NULL); + Bcopy(mhi, mlo); + mhi = lshift(mhi, 1); + if (mhi == NULL) + return (NULL); + } + + 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); + if (delta == NULL) + return (NULL); + j1 = delta->sign ? 1 : cmp(b, delta); + Bfree(delta); +#ifndef ROUND_BIASED + if (j1 == 0 && !mode && !(bits[0] & 1) && !rdir) { + if (dig == '9') + goto round_9_up; + if (j <= 0) { + if (b->wds > 1 || b->x[0]) + inex = STRTOG_Inexlo; + } + else { + dig++; + inex = STRTOG_Inexhi; + } + *s++ = dig; + goto ret; + } +#endif + if (j < 0 || (j == 0 && !mode +#ifndef ROUND_BIASED + && !(bits[0] & 1) +#endif + )) { + if (rdir && (b->wds > 1 || b->x[0])) { + if (rdir == 2) { + inex = STRTOG_Inexlo; + goto accept; + } + while (cmp(S,mhi) > 0) { + *s++ = dig; + mhi1 = multadd(mhi, 10, 0); + if (mhi1 == NULL) + return (NULL); + if (mlo == mhi) + mlo = mhi1; + mhi = mhi1; + b = multadd(b, 10, 0); + if (b == NULL) + return (NULL); + dig = quorem(b,S) + '0'; + } + if (dig++ == '9') + goto round_9_up; + inex = STRTOG_Inexhi; + goto accept; + } + if (j1 > 0) { + b = lshift(b, 1); + if (b == NULL) + return (NULL); + j1 = cmp(b, S); +#ifdef ROUND_BIASED + if (j1 >= 0 /*)*/ +#else + if ((j1 > 0 || (j1 == 0 && dig & 1)) +#endif + && dig++ == '9') + goto round_9_up; + inex = STRTOG_Inexhi; + } + if (b->wds > 1 || b->x[0]) + inex = STRTOG_Inexlo; + accept: + *s++ = dig; + goto ret; + } + if (j1 > 0 && rdir != 2) { + if (dig == '9') { /* possible if i == 1 */ + round_9_up: + *s++ = '9'; + inex = STRTOG_Inexhi; + goto roundoff; + } + inex = STRTOG_Inexhi; + *s++ = dig + 1; + goto ret; + } + *s++ = dig; + if (i == ilim) + break; + b = multadd(b, 10, 0); + if (b == NULL) + return (NULL); + if (mlo == mhi) { + mlo = mhi = multadd(mhi, 10, 0); + if (mlo == NULL) + return (NULL); + } + else { + mlo = multadd(mlo, 10, 0); + if (mlo == NULL) + return (NULL); + mhi = multadd(mhi, 10, 0); + if (mhi == NULL) + return (NULL); + } + } + } + else + for(i = 1;; i++) { + *s++ = dig = quorem(b,S) + '0'; + if (i >= ilim) + break; + b = multadd(b, 10, 0); + if (b == NULL) + return (NULL); + } + + /* Round off last digit */ + + if (rdir) { + if (rdir == 2 || (b->wds <= 1 && !b->x[0])) + goto chopzeros; + goto roundoff; + } + b = lshift(b, 1); + if (b == NULL) + return (NULL); + j = cmp(b, S); +#ifdef ROUND_BIASED + if (j >= 0) +#else + if (j > 0 || (j == 0 && dig & 1)) +#endif + { + roundoff: + inex = STRTOG_Inexhi; + while(*--s == '9') + if (s == s0) { + k++; + *s++ = '1'; + goto ret; + } + ++*s++; + } + else { + chopzeros: + if (b->wds > 1 || b->x[0]) + inex = STRTOG_Inexlo; + while(*--s == '0'){} + ++s; + } + ret: + Bfree(S); + if (mhi) { + if (mlo && mlo != mhi) + Bfree(mlo); + Bfree(mhi); + } + ret1: + Bfree(b); + *s = 0; + *decpt = k + 1; + if (rve) + *rve = s; + *kindp |= inex; + return s0; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.h b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.h new file mode 100644 index 000000000..9e1cea07c --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa.h @@ -0,0 +1,155 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#ifndef GDTOA_H_INCLUDED +#define GDTOA_H_INCLUDED + +#include "arith.h" +#include /* for size_t */ + +#ifndef Long +#define Long int +#endif +#ifndef ULong +typedef unsigned Long ULong; +#endif +#ifndef UShort +typedef unsigned short UShort; +#endif + +#ifndef ANSI +#ifdef KR_headers +#define ANSI(x) () +#define Void /*nothing*/ +#else +#define ANSI(x) x +#define Void void +#endif +#endif /* ANSI */ + +#ifndef CONST +#ifdef KR_headers +#define CONST /* blank */ +#else +#define CONST const +#endif +#endif /* CONST */ + + enum { /* return values from strtodg */ + STRTOG_Zero = 0x000, + STRTOG_Normal = 0x001, + STRTOG_Denormal = 0x002, + STRTOG_Infinite = 0x003, + STRTOG_NaN = 0x004, + STRTOG_NaNbits = 0x005, + STRTOG_NoNumber = 0x006, + STRTOG_NoMemory = 0x007, + STRTOG_Retmask = 0x00f, + + /* The following may be or-ed into one of the above values. */ + + STRTOG_Inexlo = 0x010, /* returned result rounded toward zero */ + STRTOG_Inexhi = 0x020, /* returned result rounded away from zero */ + STRTOG_Inexact = 0x030, + STRTOG_Underflow= 0x040, + STRTOG_Overflow = 0x080, + STRTOG_Neg = 0x100 /* does not affect STRTOG_Inexlo or STRTOG_Inexhi */ + }; + + typedef struct +FPI { + int nbits; + int emin; + int emax; + int rounding; + int sudden_underflow; + } FPI; + +enum { /* FPI.rounding values: same as FLT_ROUNDS */ + FPI_Round_zero = 0, + FPI_Round_near = 1, + FPI_Round_up = 2, + FPI_Round_down = 3 + }; + +#ifdef __cplusplus +extern "C" { +#endif + +extern char* __dtoa ANSI((double d, int mode, int ndigits, int *decpt, + int *sign, char **rve)); +extern char* __gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, + int mode, int ndigits, int *decpt, char **rve)); +extern void __freedtoa ANSI((char*)); +extern float strtof ANSI((CONST char *, char **)); +extern double strtod ANSI((CONST char *, char **)); +extern int __strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); + +extern char* __g_ddfmt ANSI((char*, double*, int, size_t)); +extern char* __g_dfmt ANSI((char*, double*, int, size_t)); +extern char* __g_ffmt ANSI((char*, float*, int, size_t)); +extern char* __g_Qfmt ANSI((char*, void*, int, size_t)); +extern char* __g_xfmt ANSI((char*, void*, int, size_t)); +extern char* __g_xLfmt ANSI((char*, void*, int, size_t)); + +extern int __strtoId ANSI((CONST char*, char**, double*, double*)); +extern int __strtoIdd ANSI((CONST char*, char**, double*, double*)); +extern int __strtoIf ANSI((CONST char*, char**, float*, float*)); +extern int __strtoIQ ANSI((CONST char*, char**, void*, void*)); +extern int __strtoIx ANSI((CONST char*, char**, void*, void*)); +extern int __strtoIxL ANSI((CONST char*, char**, void*, void*)); +extern int __strtord ANSI((CONST char*, char**, int, double*)); +extern int __strtordd ANSI((CONST char*, char**, int, double*)); +extern int __strtorf ANSI((CONST char*, char**, int, float*)); +extern int __strtorQ ANSI((CONST char*, char**, int, void*)); +extern int __strtorx ANSI((CONST char*, char**, int, void*)); +extern int __strtorxL ANSI((CONST char*, char**, int, void*)); +#if 1 +extern int __strtodI ANSI((CONST char*, char**, double*)); +extern int __strtopd ANSI((CONST char*, char**, double*)); +extern int __strtopdd ANSI((CONST char*, char**, double*)); +extern int __strtopf ANSI((CONST char*, char**, float*)); +extern int __strtopQ ANSI((CONST char*, char**, void*)); +extern int __strtopx ANSI((CONST char*, char**, void*)); +extern int __strtopxL ANSI((CONST char*, char**, void*)); +#else +#define __strtopd(s,se,x) strtord(s,se,1,x) +#define __strtopdd(s,se,x) strtordd(s,se,1,x) +#define __strtopf(s,se,x) strtorf(s,se,1,x) +#define __strtopQ(s,se,x) strtorQ(s,se,1,x) +#define __strtopx(s,se,x) strtorx(s,se,1,x) +#define __strtopxL(s,se,x) strtorxL(s,se,1,x) +#endif + +#ifdef __cplusplus +} +#endif +#endif /* GDTOA_H_INCLUDED */ diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa_fltrnds.h b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa_fltrnds.h new file mode 100644 index 000000000..33e5f9e53 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoa_fltrnds.h @@ -0,0 +1,18 @@ + FPI *fpi, fpi1; + int Rounding; +#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */ + Rounding = Flt_Rounds; +#else /*}{*/ + Rounding = 1; + switch(fegetround()) { + case FE_TOWARDZERO: Rounding = 0; break; + case FE_UPWARD: Rounding = 2; break; + case FE_DOWNWARD: Rounding = 3; + } +#endif /*}}*/ + fpi = &fpi0; + if (Rounding != 1) { + fpi1 = fpi0; + fpi = &fpi1; + fpi1.rounding = Rounding; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gdtoaimp.h b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoaimp.h new file mode 100644 index 000000000..7a36967ca --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gdtoaimp.h @@ -0,0 +1,665 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998-2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* This is a variation on dtoa.c that converts arbitary binary + floating-point formats to and from decimal notation. It uses + double-precision arithmetic internally, so there are still + various #ifdefs that adapt the calculations to the native + double-precision arithmetic (any of IEEE, VAX D_floating, + or IBM mainframe arithmetic). + + Please send bug reports to David M. Gay (dmg at acm dot org, + with " at " changed at "@" and " dot " changed to "."). + */ + +/* On a machine with IEEE extended-precision registers, it is + * necessary to specify double-precision (53-bit) rounding precision + * before invoking strtod or dtoa. If the machine uses (the equivalent + * of) Intel 80x87 arithmetic, the call + * _control87(PC_53, MCW_PC); + * does this with many compilers. Whether this or another call is + * appropriate depends on the compiler; for this to work, it may be + * necessary to #include "float.h" or another system-dependent header + * file. + */ + +/* 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. 112-126]. + * + * 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_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 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 (D_floating). + * #define No_leftright to omit left-right logic in fast floating-point + * computation of dtoa and gdtoa. This will cause modes 4 and 5 to be + * treated the same as modes 2 and 3 for some inputs. + * #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 and arithmetic + * that rounds toward +Infinity. + * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased + * rounding when the underlying floating-point arithmetic uses + * unbiased rounding. This prevent using ordinary floating-point + * arithmetic when the result could be computed with one rounding error. + * #define Inaccurate_Divide for IEEE-format with correctly rounded + * products but inaccurate quotients, e.g., for Intel i860. + * #define NO_LONG_LONG on machines that do not have a "long long" + * integer type (of >= 64 bits). On such machines, you can + * #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. If long long is available and the name is + * something other than "long long", #define Llong to be the name, + * and if "unsigned Llong" does not work as an unsigned version of + * Llong, #define #ULLong to be the corresponding unsigned type. + * #define KR_headers for old-style C function headers. + * #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. Similarly, if you + * want something other than the system's free() to be called to + * recycle memory acquired from MALLOC, #define FREE to be the + * name of the alternate routine. (FREE or free is only called in + * pathological cases, e.g., in a gdtoa call after a gdtoa return in + * mode 3 with thousands of digits requested.) + * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making + * memory allocations from a private pool of memory when possible. + * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, + * unless #defined to be a different length. This default length + * suffices to get rid of MALLOC calls except for unusual cases, + * such as decimal-to-binary conversion of a very long string of + * digits. When converting IEEE double precision values, the + * longest string gdtoa can return is about 751 bytes long. For + * conversions by strtod of strings of 800 digits and all gdtoa + * conversions of IEEE doubles in single-threaded executions with + * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with + * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. + * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK + * #defined automatically on IEEE systems. On such systems, + * when INFNAN_CHECK is #defined, strtod checks + * for Infinity and NaN (case insensitively). + * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, + * strtodg also accepts (case insensitively) strings of the form + * NaN(x), where x is a string of hexadecimal digits (optionally + * preceded by 0x or 0X) and spaces; if there is only one string + * of hexadecimal digits, it is taken for the fraction bits of the + * resulting NaN; if there are two or more strings of hexadecimal + * digits, each string is assigned to the next available sequence + * of 32-bit words of fractions bits (starting with the most + * significant), right-aligned in each sequence. + * Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" + * is consumed even when ... has the wrong form (in which case the + * "(...)" is consumed but ignored). + * #define MULTIPLE_THREADS if the system offers preemptively scheduled + * multiple threads. In this case, you must provide (or suitably + * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed + * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed + * in pow5mult, ensures lazy evaluation of only one copy of high + * powers of 5; omitting this lock would introduce a small + * probability of wasting memory, but would otherwise be harmless.) + * You must also invoke freedtoa(s) to free the value s returned by + * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. + * #define IMPRECISE_INEXACT if you do not care about the setting of + * the STRTOG_Inexact bits in the special case of doing IEEE double + * precision conversions (which could also be done by the strtod in + * dtoa.c). + * #define NO_HEX_FP to disable recognition of C9x's hexadecimal + * floating-point constants. + * #define -DNO_ERRNO to suppress setting errno (in strtod.c and + * strtodg.c). + * #define NO_STRING_H to use private versions of memcpy. + * On some K&R systems, it may also be necessary to + * #define DECLARE_SIZE_T in this case. + * #define USE_LOCALE to use the current locale's decimal_point value. + */ + +#ifndef GDTOAIMP_H_INCLUDED +#define GDTOAIMP_H_INCLUDED +#include "gdtoa.h" +#include "gd_qnan.h" +#ifdef Honor_FLT_ROUNDS +#include +#endif + +#ifdef DEBUG +#include "stdio.h" +#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} +#endif + +#include "stdlib.h" +#include "string.h" + +#ifdef KR_headers +#define Char char +#else +#define Char void +#endif + +#ifdef MALLOC +extern Char *MALLOC ANSI((size_t)); +#else +#define MALLOC malloc +#endif + +#undef IEEE_Arith +#undef Avoid_Underflow +#ifdef IEEE_MC68k +#define IEEE_Arith +#endif +#ifdef IEEE_8087 +#define IEEE_Arith +#endif + +#include "errno.h" +#ifdef Bad_float_h + +#ifdef IEEE_Arith +#define DBL_DIG 15 +#define DBL_MAX_10_EXP 308 +#define DBL_MAX_EXP 1024 +#define FLT_RADIX 2 +#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 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 DBL_MAX 1.7014118346046923e+38 +#define n_bigtens 2 +#endif + +#ifndef LONG_MAX +#define LONG_MAX 2147483647 +#endif + +#else /* ifndef Bad_float_h */ +#include "float.h" +#endif /* Bad_float_h */ + +#ifdef IEEE_Arith +#define Scale_Bit 0x10 +#define n_bigtens 5 +#endif + +#ifdef IBM +#define n_bigtens 3 +#endif + +#ifdef VAX +#define n_bigtens 2 +#endif + +#ifndef __MATH_H__ +#include "math.h" +#endif + +#ifdef __cplusplus +extern "C" { +#endif + +#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 +Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. +#endif + +typedef union { double d; ULong L[2]; } U; + +#ifdef IEEE_8087 +#define word0(x) (x)->L[1] +#define word1(x) (x)->L[0] +#else +#define word0(x) (x)->L[0] +#define word1(x) (x)->L[1] +#endif +#define dval(x) (x)->d + +/* 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_8087) + defined(VAX) +#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) */ + +#ifdef IEEE_Arith +#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 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 + +#ifndef Flt_Rounds +#ifdef FLT_ROUNDS +#define Flt_Rounds FLT_ROUNDS +#else +#define Flt_Rounds 1 +#endif +#endif /*Flt_Rounds*/ + +#else /* ifndef IEEE_Arith */ +#undef Sudden_Underflow +#define Sudden_Underflow +#ifdef IBM +#undef Flt_Rounds +#define Flt_Rounds 0 +#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 */ +#undef Flt_Rounds +#define Flt_Rounds 1 +#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 Emin (-127) +#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 /* IBM, VAX */ +#endif /* IEEE_Arith */ + +#ifndef IEEE_Arith +#define ROUND_BIASED +#else +#ifdef ROUND_BIASED_without_Round_Up +#undef ROUND_BIASED +#define ROUND_BIASED +#endif +#endif + +#ifdef RND_PRODQUOT +#define rounded_product(a,b) a = rnd_prod(a, b) +#define rounded_quotient(a,b) a = rnd_quot(a, b) +#ifdef KR_headers +extern double rnd_prod(), rnd_quot(); +#else +extern double rnd_prod(double, double), rnd_quot(double, double); +#endif +#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 + +#undef Pack_16 +#ifndef Pack_32 +#define Pack_32 +#endif + +#ifdef NO_LONG_LONG +#undef ULLong +#ifdef Just_16 +#undef Pack_32 +#define Pack_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. + */ +#endif +#else /* long long available */ +#ifndef Llong +#define Llong long long +#endif +#ifndef ULLong +#define ULLong unsigned Llong +#endif +#endif /* NO_LONG_LONG */ + +#ifdef Pack_32 +#define ULbits 32 +#define kshift 5 +#define kmask 31 +#define ALL_ON 0xffffffff +#else +#define ULbits 16 +#define kshift 4 +#define kmask 15 +#define ALL_ON 0xffff +#endif + +#ifndef MULTIPLE_THREADS +#define ACQUIRE_DTOA_LOCK(n) /*nothing*/ +#define FREE_DTOA_LOCK(n) /*nothing*/ +#else +#include "thread_private.h" +extern void *__dtoa_locks[]; +#define ACQUIRE_DTOA_LOCK(n) _MUTEX_LOCK(&__dtoa_locks[n]) +#define FREE_DTOA_LOCK(n) _MUTEX_UNLOCK(&__dtoa_locks[n]) +#endif + +#define Kmax 9 + + struct +Bigint { + struct Bigint *next; + int k, maxwds, sign, wds; + ULong x[1]; + }; + + typedef struct Bigint Bigint; + +#ifdef NO_STRING_H +#ifdef DECLARE_SIZE_T +typedef unsigned int size_t; +#endif +extern void memcpy_D2A ANSI((void*, const void*, size_t)); +#define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) +#else /* !NO_STRING_H */ +#define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) +#endif /* NO_STRING_H */ + +#define dtoa __dtoa +#define gdtoa __gdtoa +#define freedtoa __freedtoa +#define strtodg __strtodg +#define g_ddfmt __g_ddfmt +#define g_dfmt __g_dfmt +#define g_ffmt __g_ffmt +#define g_Qfmt __g_Qfmt +#define g_xfmt __g_xfmt +#define g_xLfmt __g_xLfmt +#define strtoId __strtoId +#define strtoIdd __strtoIdd +#define strtoIf __strtoIf +#define strtoIQ __strtoIQ +#define strtoIx __strtoIx +#define strtoIxL __strtoIxL +#define strtord __strtord +#define strtordd __strtordd +#define strtorf __strtorf +#define strtorQ __strtorQ +#define strtorx __strtorx +#define strtorxL __strtorxL +#define strtodI __strtodI +#define strtopd __strtopd +#define strtopdd __strtopdd +#define strtopf __strtopf +#define strtopQ __strtopQ +#define strtopx __strtopx +#define strtopxL __strtopxL + +#define Balloc __Balloc_D2A +#define Bfree __Bfree_D2A +#define ULtoQ __ULtoQ_D2A +#define ULtof __ULtof_D2A +#define ULtod __ULtod_D2A +#define ULtodd __ULtodd_D2A +#define ULtox __ULtox_D2A +#define ULtoxL __ULtoxL_D2A +#define any_on __any_on_D2A +#define b2d __b2d_D2A +#define bigtens __bigtens_D2A +#define cmp __cmp_D2A +#define copybits __copybits_D2A +#define d2b __d2b_D2A +#define decrement __decrement_D2A +#define diff __diff_D2A +#define dtoa_result __dtoa_result_D2A +#define g__fmt __g__fmt_D2A +#define gethex __gethex_D2A +#define hexdig __hexdig_D2A +#define hexnan __hexnan_D2A +#define hi0bits(x) __hi0bits_D2A((ULong)(x)) +#define hi0bits_D2A __hi0bits_D2A +#define i2b __i2b_D2A +#define increment __increment_D2A +#define lo0bits __lo0bits_D2A +#define lshift __lshift_D2A +#define match __match_D2A +#define mult __mult_D2A +#define multadd __multadd_D2A +#define nrv_alloc __nrv_alloc_D2A +#define pow5mult __pow5mult_D2A +#define quorem __quorem_D2A +#define ratio __ratio_D2A +#define rshift __rshift_D2A +#define rv_alloc __rv_alloc_D2A +#define s2b __s2b_D2A +#define set_ones __set_ones_D2A +#define strcp __strcp_D2A +#define strtoIg __strtoIg_D2A +#define sulp __sulp_D2A +#define sum __sum_D2A +#define tens __tens_D2A +#define tinytens __tinytens_D2A +#define tinytens __tinytens_D2A +#define trailz __trailz_D2A +#define ulp __ulp_D2A + + extern char *dtoa_result; + extern CONST double bigtens[], tens[], tinytens[]; + extern unsigned char hexdig[]; + + extern Bigint *Balloc ANSI((int)); + extern void Bfree ANSI((Bigint*)); + extern void ULtof ANSI((ULong*, ULong*, Long, int)); + extern void ULtod ANSI((ULong*, ULong*, Long, int)); + extern void ULtodd ANSI((ULong*, ULong*, Long, int)); + extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); + extern void ULtox ANSI((UShort*, ULong*, Long, int)); + extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); + extern ULong any_on ANSI((Bigint*, int)); + extern double b2d ANSI((Bigint*, int*)); + extern int cmp ANSI((Bigint*, Bigint*)); + extern void copybits ANSI((ULong*, int, Bigint*)); + extern Bigint *d2b ANSI((double, int*, int*)); + extern void decrement ANSI((Bigint*)); + extern Bigint *diff ANSI((Bigint*, Bigint*)); + extern char *dtoa ANSI((double d, int mode, int ndigits, + int *decpt, int *sign, char **rve)); + extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); + extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); + extern void hexdig_init_D2A(Void); + extern int hexnan ANSI((CONST char**, FPI*, ULong*)); + extern int hi0bits_D2A ANSI((ULong)); + extern Bigint *i2b ANSI((int)); + extern Bigint *increment ANSI((Bigint*)); + extern int lo0bits ANSI((ULong*)); + extern Bigint *lshift ANSI((Bigint*, int)); + extern int match ANSI((CONST char**, char*)); + extern Bigint *mult ANSI((Bigint*, Bigint*)); + extern Bigint *multadd ANSI((Bigint*, int, int)); + extern char *nrv_alloc ANSI((char*, char **, int)); + extern Bigint *pow5mult ANSI((Bigint*, int)); + extern int quorem ANSI((Bigint*, Bigint*)); + extern double ratio ANSI((Bigint*, Bigint*)); + extern void rshift ANSI((Bigint*, int)); + extern char *rv_alloc ANSI((int)); + extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int)); + extern Bigint *set_ones ANSI((Bigint*, int)); + extern char *strcp ANSI((char*, const char*)); + extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); + extern double strtod ANSI((const char *s00, char **se)); + extern Bigint *sum ANSI((Bigint*, Bigint*)); + extern int trailz ANSI((Bigint*)); + extern double ulp ANSI((U*)); + +#ifdef __cplusplus +} +#endif +/* + * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to + * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, + * respectively), but now are determined by compiling and running + * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. + * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... + * and -DNAN_WORD1=... values if necessary. This should still work. + * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) + */ +#ifdef IEEE_Arith +#ifndef NO_INFNAN_CHECK +#undef INFNAN_CHECK +#define INFNAN_CHECK +#endif +#ifdef IEEE_MC68k +#define _0 0 +#define _1 1 +#ifndef NAN_WORD0 +#define NAN_WORD0 d_QNAN0 +#endif +#ifndef NAN_WORD1 +#define NAN_WORD1 d_QNAN1 +#endif +#else +#define _0 1 +#define _1 0 +#ifndef NAN_WORD0 +#define NAN_WORD0 d_QNAN1 +#endif +#ifndef NAN_WORD1 +#define NAN_WORD1 d_QNAN0 +#endif +#endif +#else +#undef INFNAN_CHECK +#endif + +#undef SI +#ifdef Sudden_Underflow +#define SI 1 +#else +#define SI 0 +#endif + +#endif /* GDTOAIMP_H_INCLUDED */ diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gethex.c b/libc/upstream-openbsd/lib/libc/gdtoa/gethex.c new file mode 100644 index 000000000..7ace0fa4c --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gethex.c @@ -0,0 +1,360 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + +#ifdef USE_LOCALE +#include "locale.h" +#endif + + int +#ifdef KR_headers +gethex(sp, fpi, exp, bp, sign) + CONST char **sp; FPI *fpi; Long *exp; Bigint **bp; int sign; +#else +gethex( CONST char **sp, FPI *fpi, Long *exp, Bigint **bp, int sign) +#endif +{ + Bigint *b; + CONST unsigned char *decpt, *s0, *s, *s1; + int big, esign, havedig, irv, j, k, n, n0, nbits, up, zret; + ULong L, lostbits, *x; + Long e, e1; +#ifdef USE_LOCALE + int i; +#ifdef NO_LOCALE_CACHE + const unsigned char *decimalpoint = (unsigned char*)localeconv()->decimal_point; +#else + const unsigned char *decimalpoint; + static unsigned char *decimalpoint_cache; + if (!(s0 = decimalpoint_cache)) { + s0 = (unsigned char*)localeconv()->decimal_point; + if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) { + strlcpy(decimalpoint_cache, s0, strlen(s0) + 1); + s0 = decimalpoint_cache; + } + } + decimalpoint = s0; +#endif +#endif + + if (!hexdig['0']) + hexdig_init_D2A(); + *bp = 0; + havedig = 0; + s0 = *(CONST unsigned char **)sp + 2; + while(s0[havedig] == '0') + havedig++; + s0 += havedig; + s = s0; + decpt = 0; + zret = 0; + e = 0; + if (hexdig[*s]) + havedig++; + else { + zret = 1; +#ifdef USE_LOCALE + for(i = 0; decimalpoint[i]; ++i) { + if (s[i] != decimalpoint[i]) + goto pcheck; + } + decpt = s += i; +#else + if (*s != '.') + goto pcheck; + decpt = ++s; +#endif + if (!hexdig[*s]) + goto pcheck; + while(*s == '0') + s++; + if (hexdig[*s]) + zret = 0; + havedig = 1; + s0 = s; + } + while(hexdig[*s]) + s++; +#ifdef USE_LOCALE + if (*s == *decimalpoint && !decpt) { + for(i = 1; decimalpoint[i]; ++i) { + if (s[i] != decimalpoint[i]) + goto pcheck; + } + decpt = s += i; +#else + if (*s == '.' && !decpt) { + decpt = ++s; +#endif + while(hexdig[*s]) + s++; + }/*}*/ + if (decpt) + e = -(((Long)(s-decpt)) << 2); + pcheck: + s1 = s; + big = esign = 0; + switch(*s) { + case 'p': + case 'P': + switch(*++s) { + case '-': + esign = 1; + /* no break */ + case '+': + s++; + } + if ((n = hexdig[*s]) == 0 || n > 0x19) { + s = s1; + break; + } + e1 = n - 0x10; + while((n = hexdig[*++s]) !=0 && n <= 0x19) { + if (e1 & 0xf8000000) + big = 1; + e1 = 10*e1 + n - 0x10; + } + if (esign) + e1 = -e1; + e += e1; + } + *sp = (char*)s; + if (!havedig) + *sp = (char*)s0 - 1; + if (zret) + return STRTOG_Zero; + if (big) { + if (esign) { + switch(fpi->rounding) { + case FPI_Round_up: + if (sign) + break; + goto ret_tiny; + case FPI_Round_down: + if (!sign) + break; + goto ret_tiny; + } + goto retz; + ret_tiny: + b = Balloc(0); + if (b == NULL) + return (STRTOG_NoMemory); + b->wds = 1; + b->x[0] = 1; + goto dret; + } + switch(fpi->rounding) { + case FPI_Round_near: + goto ovfl1; + case FPI_Round_up: + if (!sign) + goto ovfl1; + goto ret_big; + case FPI_Round_down: + if (sign) + goto ovfl1; + goto ret_big; + } + ret_big: + nbits = fpi->nbits; + n0 = n = nbits >> kshift; + if (nbits & kmask) + ++n; + for(j = n, k = 0; j >>= 1; ++k); + *bp = b = Balloc(k); + if (*bp == NULL) + return (STRTOG_NoMemory); + b->wds = n; + for(j = 0; j < n0; ++j) + b->x[j] = ALL_ON; + if (n > n0) + b->x[j] = ULbits >> (ULbits - (nbits & kmask)); + *exp = fpi->emin; + return STRTOG_Normal | STRTOG_Inexlo; + } + n = s1 - s0 - 1; + for(k = 0; n > (1 << (kshift-2)) - 1; n >>= 1) + k++; + b = Balloc(k); + if (b == NULL) + return (STRTOG_NoMemory); + x = b->x; + n = 0; + L = 0; +#ifdef USE_LOCALE + for(i = 0; decimalpoint[i+1]; ++i); +#endif + while(s1 > s0) { +#ifdef USE_LOCALE + if (*--s1 == decimalpoint[i]) { + s1 -= i; + continue; + } +#else + if (*--s1 == '.') + continue; +#endif + if (n == ULbits) { + *x++ = L; + L = 0; + n = 0; + } + L |= (hexdig[*s1] & 0x0f) << n; + n += 4; + } + *x++ = L; + b->wds = n = x - b->x; + n = ULbits*n - hi0bits(L); + nbits = fpi->nbits; + lostbits = 0; + x = b->x; + if (n > nbits) { + n -= nbits; + if (any_on(b,n)) { + lostbits = 1; + k = n - 1; + if (x[k>>kshift] & 1 << (k & kmask)) { + lostbits = 2; + if (k > 0 && any_on(b,k)) + lostbits = 3; + } + } + rshift(b, n); + e += n; + } + else if (n < nbits) { + n = nbits - n; + b = lshift(b, n); + if (b == NULL) + return (STRTOG_NoMemory); + e -= n; + x = b->x; + } + if (e > fpi->emax) { + ovfl: + Bfree(b); + ovfl1: +#ifndef NO_ERRNO + errno = ERANGE; +#endif + return STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi; + } + irv = STRTOG_Normal; + if (e < fpi->emin) { + irv = STRTOG_Denormal; + n = fpi->emin - e; + if (n >= nbits) { + switch (fpi->rounding) { + case FPI_Round_near: + if (n == nbits && (n < 2 || any_on(b,n-1))) + goto one_bit; + break; + case FPI_Round_up: + if (!sign) + goto one_bit; + break; + case FPI_Round_down: + if (sign) { + one_bit: + x[0] = b->wds = 1; + dret: + *bp = b; + *exp = fpi->emin; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + return STRTOG_Denormal | STRTOG_Inexhi + | STRTOG_Underflow; + } + } + Bfree(b); + retz: +#ifndef NO_ERRNO + errno = ERANGE; +#endif + return STRTOG_Zero | STRTOG_Inexlo | STRTOG_Underflow; + } + k = n - 1; + if (lostbits) + lostbits = 1; + else if (k > 0) + lostbits = any_on(b,k); + if (x[k>>kshift] & 1 << (k & kmask)) + lostbits |= 2; + nbits -= n; + rshift(b,n); + e = fpi->emin; + } + if (lostbits) { + up = 0; + switch(fpi->rounding) { + case FPI_Round_zero: + break; + case FPI_Round_near: + if (lostbits & 2 + && (lostbits | x[0]) & 1) + up = 1; + break; + case FPI_Round_up: + up = 1 - sign; + break; + case FPI_Round_down: + up = sign; + } + if (up) { + k = b->wds; + b = increment(b); + if (b == NULL) + return (STRTOG_NoMemory); + x = b->x; + if (irv == STRTOG_Denormal) { + if (nbits == fpi->nbits - 1 + && x[nbits >> kshift] & 1 << (nbits & kmask)) + irv = STRTOG_Normal; + } + else if (b->wds > k + || ((n = nbits & kmask) !=0 + && hi0bits(x[k-1]) < 32-n)) { + rshift(b,1); + if (++e > fpi->emax) + goto ovfl; + } + irv |= STRTOG_Inexhi; + } + else + irv |= STRTOG_Inexlo; + } + *bp = b; + *exp = e; + return irv; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/gmisc.c b/libc/upstream-openbsd/lib/libc/gdtoa/gmisc.c new file mode 100644 index 000000000..8270ef944 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/gmisc.c @@ -0,0 +1,86 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + void +#ifdef KR_headers +rshift(b, k) Bigint *b; int k; +#else +rshift(Bigint *b, int k) +#endif +{ + ULong *x, *x1, *xe, y; + int n; + + x = x1 = b->x; + n = k >> kshift; + if (n < b->wds) { + xe = x + b->wds; + x += n; + if (k &= kmask) { + n = ULbits - k; + y = *x++ >> k; + while(x < xe) { + *x1++ = (y | (*x << n)) & ALL_ON; + y = *x++ >> k; + } + if ((*x1 = y) !=0) + x1++; + } + else + while(x < xe) + *x1++ = *x++; + } + if ((b->wds = x1 - b->x) == 0) + b->x[0] = 0; + } + + int +#ifdef KR_headers +trailz(b) Bigint *b; +#else +trailz(Bigint *b) +#endif +{ + ULong L, *x, *xe; + int n = 0; + + x = b->x; + xe = x + b->wds; + for(n = 0; x < xe && !*x; x++) + n += ULbits; + if (x < xe) { + L = *x; + n += lo0bits(&L); + } + return n; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/hd_init.c b/libc/upstream-openbsd/lib/libc/gdtoa/hd_init.c new file mode 100644 index 000000000..fa6e18dee --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/hd_init.c @@ -0,0 +1,55 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + unsigned char hexdig[256]; + + static void +#ifdef KR_headers +htinit(h, s, inc) unsigned char *h; unsigned char *s; int inc; +#else +htinit(unsigned char *h, unsigned char *s, int inc) +#endif +{ + int i, j; + for(i = 0; (j = s[i]) !=0; i++) + h[j] = i + inc; + } + + void +hexdig_init_D2A(Void) +{ +#define USC (unsigned char *) + htinit(hexdig, USC "0123456789", 0x10); + htinit(hexdig, USC "abcdef", 0x10 + 10); + htinit(hexdig, USC "ABCDEF", 0x10 + 10); + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/hdtoa.c b/libc/upstream-openbsd/lib/libc/gdtoa/hdtoa.c new file mode 100644 index 000000000..c62f6d5d3 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/hdtoa.c @@ -0,0 +1,332 @@ +/* $OpenBSD: hdtoa.c,v 1.2 2009/10/16 12:15:03 martynas Exp $ */ +/*- + * Copyright (c) 2004, 2005 David Schultz + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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. + */ + +#include +#include +#include +#include +#include + +#include "gdtoaimp.h" + +/* Strings values used by dtoa() */ +#define INFSTR "Infinity" +#define NANSTR "NaN" + +#define DBL_ADJ (DBL_MAX_EXP - 2 + ((DBL_MANT_DIG - 1) % 4)) +#define LDBL_ADJ (LDBL_MAX_EXP - 2 + ((LDBL_MANT_DIG - 1) % 4)) + +/* + * Round up the given digit string. If the digit string is fff...f, + * this procedure sets it to 100...0 and returns 1 to indicate that + * the exponent needs to be bumped. Otherwise, 0 is returned. + */ +static int +roundup(char *s0, int ndigits) +{ + char *s; + + for (s = s0 + ndigits - 1; *s == 0xf; s--) { + if (s == s0) { + *s = 1; + return (1); + } + *s = 0; + } + ++*s; + return (0); +} + +/* + * Round the given digit string to ndigits digits according to the + * current rounding mode. Note that this could produce a string whose + * value is not representable in the corresponding floating-point + * type. The exponent pointed to by decpt is adjusted if necessary. + */ +static void +dorounding(char *s0, int ndigits, int sign, int *decpt) +{ + int adjust = 0; /* do we need to adjust the exponent? */ + + switch (FLT_ROUNDS) { + case 0: /* toward zero */ + default: /* implementation-defined */ + break; + case 1: /* to nearest, halfway rounds to even */ + if ((s0[ndigits] > 8) || + (s0[ndigits] == 8 && s0[ndigits + 1] & 1)) + adjust = roundup(s0, ndigits); + break; + case 2: /* toward +inf */ + if (sign == 0) + adjust = roundup(s0, ndigits); + break; + case 3: /* toward -inf */ + if (sign != 0) + adjust = roundup(s0, ndigits); + break; + } + + if (adjust) + *decpt += 4; +} + +/* + * This procedure converts a double-precision number in IEEE format + * into a string of hexadecimal digits and an exponent of 2. Its + * behavior is bug-for-bug compatible with dtoa() in mode 2, with the + * following exceptions: + * + * - An ndigits < 0 causes it to use as many digits as necessary to + * represent the number exactly. + * - The additional xdigs argument should point to either the string + * "0123456789ABCDEF" or the string "0123456789abcdef", depending on + * which case is desired. + * - This routine does not repeat dtoa's mistake of setting decpt + * to 9999 in the case of an infinity or NaN. INT_MAX is used + * for this purpose instead. + * + * Note that the C99 standard does not specify what the leading digit + * should be for non-zero numbers. For instance, 0x1.3p3 is the same + * as 0x2.6p2 is the same as 0x4.cp3. This implementation chooses the + * first digit so that subsequent digits are aligned on nibble + * boundaries (before rounding). + * + * Inputs: d, xdigs, ndigits + * Outputs: decpt, sign, rve + */ +char * +__hdtoa(double d, const char *xdigs, int ndigits, int *decpt, int *sign, + char **rve) +{ + static const int sigfigs = (DBL_MANT_DIG + 3) / 4; + struct ieee_double *p = (struct ieee_double *)&d; + char *s, *s0; + int bufsize; + + *sign = p->dbl_sign; + + switch (fpclassify(d)) { + case FP_NORMAL: + *decpt = p->dbl_exp - DBL_ADJ; + break; + case FP_ZERO: + *decpt = 1; + return (nrv_alloc("0", rve, 1)); + case FP_SUBNORMAL: + d *= 0x1p514; + *decpt = p->dbl_exp - (514 + DBL_ADJ); + break; + case FP_INFINITE: + *decpt = INT_MAX; + return (nrv_alloc(INFSTR, rve, sizeof(INFSTR) - 1)); + case FP_NAN: + *decpt = INT_MAX; + return (nrv_alloc(NANSTR, rve, sizeof(NANSTR) - 1)); + default: + abort(); + } + + /* FP_NORMAL or FP_SUBNORMAL */ + + if (ndigits == 0) /* dtoa() compatibility */ + ndigits = 1; + + /* + * For simplicity, we generate all the digits even if the + * caller has requested fewer. + */ + bufsize = (sigfigs > ndigits) ? sigfigs : ndigits; + s0 = rv_alloc(bufsize); + if (s0 == NULL) + return (NULL); + + /* + * We work from right to left, first adding any requested zero + * padding, then the least significant portion of the + * mantissa, followed by the most significant. The buffer is + * filled with the byte values 0x0 through 0xf, which are + * converted to xdigs[0x0] through xdigs[0xf] after the + * rounding phase. + */ + for (s = s0 + bufsize - 1; s > s0 + sigfigs - 1; s--) + *s = 0; + for (; s > s0 + sigfigs - (DBL_FRACLBITS / 4) - 1 && s > s0; s--) { + *s = p->dbl_fracl & 0xf; + p->dbl_fracl >>= 4; + } + for (; s > s0; s--) { + *s = p->dbl_frach & 0xf; + p->dbl_frach >>= 4; + } + + /* + * At this point, we have snarfed all the bits in the + * mantissa, with the possible exception of the highest-order + * (partial) nibble, which is dealt with by the next + * statement. We also tack on the implicit normalization bit. + */ + *s = p->dbl_frach | (1U << ((DBL_MANT_DIG - 1) % 4)); + + /* If ndigits < 0, we are expected to auto-size the precision. */ + if (ndigits < 0) { + for (ndigits = sigfigs; s0[ndigits - 1] == 0; ndigits--) + ; + } + + if (sigfigs > ndigits && s0[ndigits] != 0) + dorounding(s0, ndigits, p->dbl_sign, decpt); + + s = s0 + ndigits; + if (rve != NULL) + *rve = s; + *s-- = '\0'; + for (; s >= s0; s--) + *s = xdigs[(unsigned int)*s]; + + return (s0); +} + +#if (LDBL_MANT_DIG > DBL_MANT_DIG) + +/* + * This is the long double version of __hdtoa(). + */ +char * +__hldtoa(long double e, const char *xdigs, int ndigits, int *decpt, int *sign, + char **rve) +{ + static const int sigfigs = (LDBL_MANT_DIG + 3) / 4; + struct ieee_ext *p = (struct ieee_ext *)&e; + char *s, *s0; + int bufsize; + + *sign = p->ext_sign; + + switch (fpclassify(e)) { + case FP_NORMAL: + *decpt = p->ext_exp - LDBL_ADJ; + break; + case FP_ZERO: + *decpt = 1; + return (nrv_alloc("0", rve, 1)); + case FP_SUBNORMAL: + e *= 0x1p514L; + *decpt = p->ext_exp - (514 + LDBL_ADJ); + break; + case FP_INFINITE: + *decpt = INT_MAX; + return (nrv_alloc(INFSTR, rve, sizeof(INFSTR) - 1)); + case FP_NAN: + *decpt = INT_MAX; + return (nrv_alloc(NANSTR, rve, sizeof(NANSTR) - 1)); + default: + abort(); + } + + /* FP_NORMAL or FP_SUBNORMAL */ + + if (ndigits == 0) /* dtoa() compatibility */ + ndigits = 1; + + /* + * For simplicity, we generate all the digits even if the + * caller has requested fewer. + */ + bufsize = (sigfigs > ndigits) ? sigfigs : ndigits; + s0 = rv_alloc(bufsize); + if (s0 == NULL) + return (NULL); + + /* + * We work from right to left, first adding any requested zero + * padding, then the least significant portion of the + * mantissa, followed by the most significant. The buffer is + * filled with the byte values 0x0 through 0xf, which are + * converted to xdigs[0x0] through xdigs[0xf] after the + * rounding phase. + */ + for (s = s0 + bufsize - 1; s > s0 + sigfigs - 1; s--) + *s = 0; + for (; s > s0 + sigfigs - (EXT_FRACLBITS / 4) - 1 && s > s0; s--) { + *s = p->ext_fracl & 0xf; + p->ext_fracl >>= 4; + } +#ifdef EXT_FRACHMBITS + for (; s > s0; s--) { + *s = p->ext_frachm & 0xf; + p->ext_frachm >>= 4; + } +#endif +#ifdef EXT_FRACLMBITS + for (; s > s0; s--) { + *s = p->ext_fraclm & 0xf; + p->ext_fraclm >>= 4; + } +#endif + for (; s > s0; s--) { + *s = p->ext_frach & 0xf; + p->ext_frach >>= 4; + } + + /* + * At this point, we have snarfed all the bits in the + * mantissa, with the possible exception of the highest-order + * (partial) nibble, which is dealt with by the next + * statement. We also tack on the implicit normalization bit. + */ + *s = p->ext_frach | (1U << ((LDBL_MANT_DIG - 1) % 4)); + + /* If ndigits < 0, we are expected to auto-size the precision. */ + if (ndigits < 0) { + for (ndigits = sigfigs; s0[ndigits - 1] == 0; ndigits--) + ; + } + + if (sigfigs > ndigits && s0[ndigits] != 0) + dorounding(s0, ndigits, p->ext_sign, decpt); + + s = s0 + ndigits; + if (rve != NULL) + *rve = s; + *s-- = '\0'; + for (; s >= s0; s--) + *s = xdigs[(unsigned int)*s]; + + return (s0); +} + +#else /* (LDBL_MANT_DIG == DBL_MANT_DIG) */ + +char * +__hldtoa(long double e, const char *xdigs, int ndigits, int *decpt, int *sign, + char **rve) +{ + return (__hdtoa((double)e, xdigs, ndigits, decpt, sign, rve)); +} + +#endif /* (LDBL_MANT_DIG == DBL_MANT_DIG) */ diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/hexnan.c b/libc/upstream-openbsd/lib/libc/gdtoa/hexnan.c new file mode 100644 index 000000000..a443721f5 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/hexnan.c @@ -0,0 +1,150 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + static void +#ifdef KR_headers +L_shift(x, x1, i) ULong *x; ULong *x1; int i; +#else +L_shift(ULong *x, ULong *x1, int i) +#endif +{ + int j; + + i = 8 - i; + i <<= 2; + j = ULbits - i; + do { + *x |= x[1] << j; + x[1] >>= i; + } while(++x < x1); + } + + int +#ifdef KR_headers +hexnan(sp, fpi, x0) + CONST char **sp; FPI *fpi; ULong *x0; +#else +hexnan( CONST char **sp, FPI *fpi, ULong *x0) +#endif +{ + ULong c, h, *x, *x1, *xe; + CONST char *s; + int havedig, hd0, i, nbits; + + if (!hexdig['0']) + hexdig_init_D2A(); + nbits = fpi->nbits; + x = x0 + (nbits >> kshift); + if (nbits & kmask) + x++; + *--x = 0; + x1 = xe = x; + havedig = hd0 = i = 0; + s = *sp; + /* allow optional initial 0x or 0X */ + while((c = *(CONST unsigned char*)(s+1)) && c <= ' ') + ++s; + if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X') + && *(CONST unsigned char*)(s+3) > ' ') + s += 2; + while((c = *(CONST unsigned char*)++s)) { + if (!(h = hexdig[c])) { + if (c <= ' ') { + if (hd0 < havedig) { + if (x < x1 && i < 8) + L_shift(x, x1, i); + if (x <= x0) { + i = 8; + continue; + } + hd0 = havedig; + *--x = 0; + x1 = x; + i = 0; + } + while(*(CONST unsigned char*)(s+1) <= ' ') + ++s; + if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X') + && *(CONST unsigned char*)(s+3) > ' ') + s += 2; + continue; + } + if (/*(*/ c == ')' && havedig) { + *sp = s + 1; + break; + } +#ifndef GDTOA_NON_PEDANTIC_NANCHECK + do { + if (/*(*/ c == ')') { + *sp = s + 1; + break; + } + } while((c = *++s)); +#endif + return STRTOG_NaN; + } + havedig++; + if (++i > 8) { + if (x <= x0) + continue; + i = 1; + *--x = 0; + } + *x = (*x << 4) | (h & 0xf); + } + if (!havedig) + return STRTOG_NaN; + if (x < x1 && i < 8) + L_shift(x, x1, i); + if (x > x0) { + x1 = x0; + do *x1++ = *x++; + while(x <= xe); + do *x1++ = 0; + while(x1 <= xe); + } + else { + /* truncate high-order word if necessary */ + if ( (i = nbits & (ULbits-1)) !=0) + *xe &= ((ULong)0xffffffff) >> (ULbits - i); + } + for(x1 = xe;; --x1) { + if (*x1 != 0) + break; + if (x1 == x0) { + *x1 = 1; + break; + } + } + return STRTOG_NaNbits; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/ldtoa.c b/libc/upstream-openbsd/lib/libc/gdtoa/ldtoa.c new file mode 100644 index 000000000..793d71cff --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/ldtoa.c @@ -0,0 +1,124 @@ +/* $OpenBSD: ldtoa.c,v 1.1 2008/09/07 20:36:08 martynas Exp $ */ +/*- + * Copyright (c) 2003 David Schultz + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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. + */ + +#include +#ifndef __vax__ +#include +#endif /* !__vax__ */ +#include +#include +#include +#include +#include +#include "gdtoaimp.h" + +#if (LDBL_MANT_DIG > DBL_MANT_DIG) + +/* + * ldtoa() is a wrapper for gdtoa() that makes it smell like dtoa(), + * except that the floating point argument is passed by reference. + * When dtoa() is passed a NaN or infinity, it sets expt to 9999. + * However, a long double could have a valid exponent of 9999, so we + * use INT_MAX in ldtoa() instead. + */ +char * +__ldtoa(long double *ld, int mode, int ndigits, int *decpt, int *sign, + char **rve) +{ + FPI fpi = { + LDBL_MANT_DIG, /* nbits */ + LDBL_MIN_EXP - LDBL_MANT_DIG, /* emin */ + LDBL_MAX_EXP - LDBL_MANT_DIG, /* emax */ + FLT_ROUNDS, /* rounding */ +#ifdef Sudden_Underflow /* unused, but correct anyway */ + 1 +#else + 0 +#endif + }; + int be, kind; + char *ret; + struct ieee_ext *p = (struct ieee_ext *)ld; + uint32_t bits[(LDBL_MANT_DIG + 31) / 32]; + void *vbits = bits; + + /* + * gdtoa doesn't know anything about the sign of the number, so + * if the number is negative, we need to swap rounding modes of + * 2 (upwards) and 3 (downwards). + */ + *sign = p->ext_sign; + fpi.rounding ^= (fpi.rounding >> 1) & p->ext_sign; + + be = p->ext_exp - (LDBL_MAX_EXP - 1) - (LDBL_MANT_DIG - 1); + EXT_TO_ARRAY32(p, bits); + + switch (fpclassify(*ld)) { + case FP_NORMAL: + kind = STRTOG_Normal; +#ifdef EXT_IMPLICIT_NBIT + bits[LDBL_MANT_DIG / 32] |= 1 << ((LDBL_MANT_DIG - 1) % 32); +#endif /* EXT_IMPLICIT_NBIT */ + break; + case FP_ZERO: + kind = STRTOG_Zero; + break; + case FP_SUBNORMAL: + kind = STRTOG_Denormal; + be++; + break; + case FP_INFINITE: + kind = STRTOG_Infinite; + break; + case FP_NAN: + kind = STRTOG_NaN; + break; + default: + abort(); + } + + ret = gdtoa(&fpi, be, vbits, &kind, mode, ndigits, decpt, rve); + if (*decpt == -32768) + *decpt = INT_MAX; + return ret; +} + +#else /* (LDBL_MANT_DIG == DBL_MANT_DIG) */ + +char * +__ldtoa(long double *ld, int mode, int ndigits, int *decpt, int *sign, + char **rve) +{ + char *ret; + + ret = dtoa((double)*ld, mode, ndigits, decpt, sign, rve); + if (*decpt == 9999) + *decpt = INT_MAX; + return ret; +} + +#endif /* (LDBL_MANT_DIG == DBL_MANT_DIG) */ diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/misc.c b/libc/upstream-openbsd/lib/libc/gdtoa/misc.c new file mode 100644 index 000000000..6ad706b91 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/misc.c @@ -0,0 +1,907 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 1999 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + static Bigint *freelist[Kmax+1]; +#ifndef Omit_Private_Memory +#ifndef PRIVATE_MEM +#define PRIVATE_MEM 2304 +#endif +#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double)) +static double private_mem[PRIVATE_mem], *pmem_next = private_mem; +#endif + + Bigint * +Balloc +#ifdef KR_headers + (k) int k; +#else + (int k) +#endif +{ + int x; + Bigint *rv; +#ifndef Omit_Private_Memory + unsigned int len; +#endif + + ACQUIRE_DTOA_LOCK(0); + /* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */ + /* but this case seems very unlikely. */ + if (k <= Kmax && (rv = freelist[k]) !=0) { + freelist[k] = rv->next; + } + else { + x = 1 << k; +#ifdef Omit_Private_Memory + rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong)); + if (rv == NULL) + return (NULL); +#else + len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1) + /sizeof(double); + if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) { + rv = (Bigint*)pmem_next; + pmem_next += len; + } + else { + rv = (Bigint*)MALLOC(len*sizeof(double)); + if (rv == NULL) + return (NULL); + } +#endif + rv->k = k; + rv->maxwds = x; + } + FREE_DTOA_LOCK(0); + rv->sign = rv->wds = 0; + return rv; + } + + void +Bfree +#ifdef KR_headers + (v) Bigint *v; +#else + (Bigint *v) +#endif +{ + if (v) { + if (v->k > Kmax) +#ifdef FREE + FREE((void*)v); +#else + free((void*)v); +#endif + else { + ACQUIRE_DTOA_LOCK(0); + v->next = freelist[v->k]; + freelist[v->k] = v; + FREE_DTOA_LOCK(0); + } + } + } + + int +lo0bits +#ifdef KR_headers + (y) ULong *y; +#else + (ULong *y) +#endif +{ + 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) + return 32; + } + *y = x; + return k; + } + + Bigint * +multadd +#ifdef KR_headers + (b, m, a) Bigint *b; int m, a; +#else + (Bigint *b, int m, int a) /* multiply by m and add a */ +#endif +{ + int i, wds; +#ifdef ULLong + ULong *x; + ULLong carry, y; +#else + ULong carry, *x, y; +#ifdef Pack_32 + ULong xi, z; +#endif +#endif + Bigint *b1; + + wds = b->wds; + x = b->x; + i = 0; + carry = a; + do { +#ifdef ULLong + y = *x * (ULLong)m + carry; + carry = y >> 32; + *x++ = y & 0xffffffffUL; +#else +#ifdef Pack_32 + xi = *x; + y = (xi & 0xffff) * m + carry; + z = (xi >> 16) * m + (y >> 16); + carry = z >> 16; + *x++ = (z << 16) + (y & 0xffff); +#else + y = *x * m + carry; + carry = y >> 16; + *x++ = y & 0xffff; +#endif +#endif + } + while(++i < wds); + if (carry) { + if (wds >= b->maxwds) { + b1 = Balloc(b->k+1); + if (b1 == NULL) + return (NULL); + Bcopy(b1, b); + Bfree(b); + b = b1; + } + b->x[wds++] = carry; + b->wds = wds; + } + return b; + } + + int +hi0bits_D2A +#ifdef KR_headers + (x) ULong x; +#else + (ULong x) +#endif +{ + 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; + } + + Bigint * +i2b +#ifdef KR_headers + (i) int i; +#else + (int i) +#endif +{ + Bigint *b; + + b = Balloc(1); + if (b == NULL) + return (NULL); + b->x[0] = i; + b->wds = 1; + return b; + } + + Bigint * +mult +#ifdef KR_headers + (a, b) Bigint *a, *b; +#else + (Bigint *a, Bigint *b) +#endif +{ + Bigint *c; + int k, wa, wb, wc; + ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0; + ULong y; +#ifdef ULLong + ULLong carry, z; +#else + ULong carry, z; +#ifdef Pack_32 + ULong z2; +#endif +#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); + if (c == NULL) + return (NULL); + 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 ULLong + for(; xb < xbe; xc0++) { + if ( (y = *xb++) !=0) { + x = xa; + xc = xc0; + carry = 0; + do { + z = *x++ * (ULLong)y + *xc + carry; + carry = z >> 32; + *xc++ = z & 0xffffffffUL; + } + while(x < xae); + *xc = carry; + } + } +#else +#ifdef Pack_32 + for(; xb < xbe; xb++, xc0++) { + if ( (y = *xb & 0xffff) !=0) { + 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) !=0) { + 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++) !=0) { + x = xa; + xc = xc0; + carry = 0; + do { + z = *x++ * y + *xc + carry; + carry = z >> 16; + *xc++ = z & 0xffff; + } + while(x < xae); + *xc = carry; + } + } +#endif +#endif + for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ; + c->wds = wc; + return c; + } + + static Bigint *p5s; + + Bigint * +pow5mult +#ifdef KR_headers + (b, k) Bigint *b; int k; +#else + (Bigint *b, int k) +#endif +{ + Bigint *b1, *p5, *p51; + int i; + static int p05[3] = { 5, 25, 125 }; + + if ( (i = k & 3) !=0) { + b = multadd(b, p05[i-1], 0); + if (b == NULL) + return (NULL); + } + + if (!(k >>= 2)) + return b; + if ((p5 = p5s) == 0) { + /* first time */ +#ifdef MULTIPLE_THREADS + ACQUIRE_DTOA_LOCK(1); + if (!(p5 = p5s)) { + p5 = p5s = i2b(625); + if (p5 == NULL) + return (NULL); + p5->next = 0; + } + FREE_DTOA_LOCK(1); +#else + p5 = p5s = i2b(625); + if (p5 == NULL) + return (NULL); + p5->next = 0; +#endif + } + for(;;) { + if (k & 1) { + b1 = mult(b, p5); + if (b1 == NULL) + return (NULL); + Bfree(b); + b = b1; + } + if (!(k >>= 1)) + break; + if ((p51 = p5->next) == 0) { +#ifdef MULTIPLE_THREADS + ACQUIRE_DTOA_LOCK(1); + if (!(p51 = p5->next)) { + p51 = p5->next = mult(p5,p5); + if (p51 == NULL) + return (NULL); + p51->next = 0; + } + FREE_DTOA_LOCK(1); +#else + p51 = p5->next = mult(p5,p5); + if (p51 == NULL) + return (NULL); + p51->next = 0; +#endif + } + p5 = p51; + } + return b; + } + + Bigint * +lshift +#ifdef KR_headers + (b, k) Bigint *b; int k; +#else + (Bigint *b, int k) +#endif +{ + int i, k1, n, n1; + Bigint *b1; + ULong *x, *x1, *xe, z; + + n = k >> kshift; + k1 = b->k; + n1 = n + b->wds + 1; + for(i = b->maxwds; n1 > i; i <<= 1) + k1++; + b1 = Balloc(k1); + if (b1 == NULL) + return (NULL); + x1 = b1->x; + for(i = 0; i < n; i++) + *x1++ = 0; + x = b->x; + xe = x + b->wds; + if (k &= kmask) { +#ifdef Pack_32 + k1 = 32 - k; + z = 0; + do { + *x1++ = *x << k | z; + z = *x++ >> k1; + } + while(x < xe); + if ((*x1 = z) !=0) + ++n1; +#else + 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; + } + + int +cmp +#ifdef KR_headers + (a, b) Bigint *a, *b; +#else + (Bigint *a, Bigint *b) +#endif +{ + 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; + } + + Bigint * +diff +#ifdef KR_headers + (a, b) Bigint *a, *b; +#else + (Bigint *a, Bigint *b) +#endif +{ + Bigint *c; + int i, wa, wb; + ULong *xa, *xae, *xb, *xbe, *xc; +#ifdef ULLong + ULLong borrow, y; +#else + ULong borrow, y; +#ifdef Pack_32 + ULong z; +#endif +#endif + + i = cmp(a,b); + if (!i) { + c = Balloc(0); + if (c == NULL) + return (NULL); + 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); + if (c == NULL) + return (NULL); + 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 ULLong + do { + y = (ULLong)*xa++ - *xb++ - borrow; + borrow = y >> 32 & 1UL; + *xc++ = y & 0xffffffffUL; + } + while(xb < xbe); + while(xa < xae) { + y = *xa++ - borrow; + borrow = y >> 32 & 1UL; + *xc++ = y & 0xffffffffUL; + } +#else +#ifdef Pack_32 + do { + y = (*xa & 0xffff) - (*xb & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*xa++ >> 16) - (*xb++ >> 16) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } + while(xb < xbe); + while(xa < xae) { + y = (*xa & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*xa++ >> 16) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } +#else + do { + y = *xa++ - *xb++ - borrow; + borrow = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } + while(xb < xbe); + while(xa < xae) { + y = *xa++ - borrow; + borrow = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } +#endif +#endif + while(!*--xc) + wa--; + c->wds = wa; + return c; + } + + double +b2d +#ifdef KR_headers + (a, e) Bigint *a; int *e; +#else + (Bigint *a, int *e) +#endif +{ + ULong *xa, *xa0, w, y, z; + int k; + U 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; +#endif + return dval(&d); + } +#undef d0 +#undef d1 + + Bigint * +d2b +#ifdef KR_headers + (dd, e, bits) double dd; int *e, *bits; +#else + (double dd, int *e, int *bits) +#endif +{ + Bigint *b; + U d; +#ifndef Sudden_Underflow + int i; +#endif + int de, k; + ULong *x, y, z; +#ifdef VAX + ULong d0, d1; +#else +#define d0 word0(&d) +#define d1 word1(&d) +#endif + d.d = dd; +#ifdef VAX + d0 = word0(&d) >> 16 | word0(&d) << 16; + d1 = word1(&d) >> 16 | word1(&d) << 16; +#endif + +#ifdef Pack_32 + b = Balloc(1); +#else + b = Balloc(2); +#endif + if (b == NULL) + return (NULL); + 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)) !=0) + z |= Exp_msk1; +#endif +#ifdef Pack_32 + if ( (y = d1) !=0) { + if ( (k = lo0bits(&y)) !=0) { + x[0] = y | z << (32 - k); + z >>= k; + } + else + x[0] = y; +#ifndef Sudden_Underflow + i = +#endif + b->wds = (x[1] = z) !=0 ? 2 : 1; + } + else { + k = lo0bits(&z); + x[0] = z; +#ifndef Sudden_Underflow + i = +#endif + b->wds = 1; + k += 32; + } +#else + if ( (y = d1) !=0) { + if ( (k = lo0bits(&y)) !=0) + 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 + + CONST double +#ifdef IEEE_Arith +bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 }; +CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 + }; +#else +#ifdef IBM +bigtens[] = { 1e16, 1e32, 1e64 }; +CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 }; +#else +bigtens[] = { 1e16, 1e32 }; +CONST double tinytens[] = { 1e-16, 1e-32 }; +#endif +#endif + + 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 + }; + + char * +#ifdef KR_headers +strcp_D2A(a, b) char *a; char *b; +#else +strcp_D2A(char *a, CONST char *b) +#endif +{ + while((*a = *b++)) + a++; + return a; + } + +#ifdef NO_STRING_H + + Char * +#ifdef KR_headers +memcpy_D2A(a, b, len) Char *a; Char *b; size_t len; +#else +memcpy_D2A(void *a1, void *b1, size_t len) +#endif +{ + char *a = (char*)a1, *ae = a + len; + char *b = (char*)b1, *a0 = a; + while(a < ae) + *a++ = *b++; + return a0; + } + +#endif /* NO_STRING_H */ diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/smisc.c b/libc/upstream-openbsd/lib/libc/gdtoa/smisc.c new file mode 100644 index 000000000..d063a38db --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/smisc.c @@ -0,0 +1,201 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 1999 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + Bigint * +s2b +#ifdef KR_headers + (s, nd0, nd, y9, dplen) CONST char *s; int dplen, nd0, nd; ULong y9; +#else + (CONST char *s, int nd0, int nd, ULong y9, int dplen) +#endif +{ + 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); + if (b == NULL) + return (NULL); + b->x[0] = y9; + b->wds = 1; +#else + b = Balloc(k+1); + if (b == NULL) + return (NULL); + 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'); + if (b == NULL) + return (NULL); + } while(++i < nd0); + s += dplen; + } + else + s += dplen + 9; + for(; i < nd; i++) { + b = multadd(b, 10, *s++ - '0'); + if (b == NULL) + return (NULL); + } + return b; + } + + double +ratio +#ifdef KR_headers + (a, b) Bigint *a, *b; +#else + (Bigint *a, Bigint *b) +#endif +{ + U da, db; + int k, ka, kb; + + dval(&da) = b2d(a, &ka); + dval(&db) = b2d(b, &kb); + k = ka - kb + ULbits*(a->wds - b->wds); +#ifdef IBM + if (k > 0) { + word0(&da) += (k >> 2)*Exp_msk1; + if (k &= 3) + dval(&da) *= 1 << k; + } + else { + k = -k; + word0(&db) += (k >> 2)*Exp_msk1; + if (k &= 3) + dval(&db) *= 1 << k; + } +#else + if (k > 0) + word0(&da) += k*Exp_msk1; + else { + k = -k; + word0(&db) += k*Exp_msk1; + } +#endif + return dval(&da) / dval(&db); + } + +#ifdef INFNAN_CHECK + + int +match +#ifdef KR_headers + (sp, t) char **sp, *t; +#else + (CONST char **sp, char *t) +#endif +{ + int c, d; + CONST char *s = *sp; + + while( (d = *t++) !=0) { + if ((c = *++s) >= 'A' && c <= 'Z') + c += 'a' - 'A'; + if (c != d) + return 0; + } + *sp = s + 1; + return 1; + } +#endif /* INFNAN_CHECK */ + + void +#ifdef KR_headers +copybits(c, n, b) ULong *c; int n; Bigint *b; +#else +copybits(ULong *c, int n, Bigint *b) +#endif +{ + ULong *ce, *x, *xe; +#ifdef Pack_16 + int nw, nw1; +#endif + + ce = c + ((n-1) >> kshift) + 1; + x = b->x; +#ifdef Pack_32 + xe = x + b->wds; + while(x < xe) + *c++ = *x++; +#else + nw = b->wds; + nw1 = nw & 1; + for(xe = x + (nw - nw1); x < xe; x += 2) + Storeinc(c, x[1], x[0]); + if (nw1) + *c++ = *x; +#endif + while(c < ce) + *c++ = 0; + } + + ULong +#ifdef KR_headers +any_on(b, k) Bigint *b; int k; +#else +any_on(Bigint *b, int k) +#endif +{ + int n, nwds; + ULong *x, *x0, x1, x2; + + x = b->x; + nwds = b->wds; + n = k >> kshift; + if (n > nwds) + n = nwds; + else if (n < nwds && (k &= kmask)) { + x1 = x2 = x[n]; + x1 >>= k; + x1 <<= k; + if (x1 != x2) + return 1; + } + x0 = x; + x += n; + while(x > x0) + if (*--x) + return 1; + return 0; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/strtod.c b/libc/upstream-openbsd/lib/libc/gdtoa/strtod.c new file mode 100644 index 000000000..ded47d862 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/strtod.c @@ -0,0 +1,1105 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998-2001 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" +#ifndef NO_FENV_H +#include +#endif + +#ifdef USE_LOCALE +#include "locale.h" +#endif + +#ifdef IEEE_Arith +#ifndef NO_IEEE_Scale +#define Avoid_Underflow +#undef tinytens +/* The factor of 2^106 in tinytens[4] helps us avoid setting the underflow */ +/* flag unnecessarily. It leads to a song and dance at the end of strtod. */ +static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, + 9007199254740992.*9007199254740992.e-256 + }; +#endif +#endif + +#ifdef Honor_FLT_ROUNDS +#undef Check_FLT_ROUNDS +#define Check_FLT_ROUNDS +#else +#define Rounding Flt_Rounds +#endif + +#ifdef Avoid_Underflow /*{*/ + static double +sulp +#ifdef KR_headers + (x, scale) U *x; int scale; +#else + (U *x, int scale) +#endif +{ + U u; + double rv; + int i; + + rv = ulp(x); + if (!scale || (i = 2*P + 1 - ((word0(x) & Exp_mask) >> Exp_shift)) <= 0) + return rv; /* Is there an example where i <= 0 ? */ + word0(&u) = Exp_1 + (i << Exp_shift); + word1(&u) = 0; + return rv * u.d; + } +#endif /*}*/ + + double +strtod +#ifdef KR_headers + (s00, se) CONST char *s00; char **se; +#else + (CONST char *s00, char **se) +#endif +{ +#ifdef Avoid_Underflow + int scale; +#endif + int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign, + e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign; + CONST char *s, *s0, *s1; + double aadj; + Long L; + U adj, aadj1, rv, rv0; + ULong y, z; + Bigint *bb = NULL, *bb1, *bd = NULL, *bd0 = NULL, *bs = NULL, *delta = NULL; +#ifdef Avoid_Underflow + ULong Lsb, Lsb1; +#endif +#ifdef SET_INEXACT + int inexact, oldinexact; +#endif +#ifdef USE_LOCALE /*{{*/ +#ifdef NO_LOCALE_CACHE + char *decimalpoint = localeconv()->decimal_point; + int dplen = strlen(decimalpoint); +#else + char *decimalpoint; + static char *decimalpoint_cache; + static int dplen; + if (!(s0 = decimalpoint_cache)) { + s0 = localeconv()->decimal_point; + if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) { + strlcpy(decimalpoint_cache, s0, strlen(s0) + 1); + s0 = decimalpoint_cache; + } + dplen = strlen(s0); + } + decimalpoint = (char*)s0; +#endif /*NO_LOCALE_CACHE*/ +#else /*USE_LOCALE}{*/ +#define dplen 1 +#endif /*USE_LOCALE}}*/ + +#ifdef Honor_FLT_ROUNDS /*{*/ + int Rounding; +#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */ + Rounding = Flt_Rounds; +#else /*}{*/ + Rounding = 1; + switch(fegetround()) { + case FE_TOWARDZERO: Rounding = 0; break; + case FE_UPWARD: Rounding = 2; break; + case FE_DOWNWARD: Rounding = 3; + } +#endif /*}}*/ +#endif /*}*/ + + sign = nz0 = nz = decpt = 0; + dval(&rv) = 0.; + for(s = s00;;s++) switch(*s) { + case '-': + sign = 1; + /* no break */ + case '+': + if (*++s) + goto break2; + /* no break */ + case 0: + goto ret0; + case '\t': + case '\n': + case '\v': + case '\f': + case '\r': + case ' ': + continue; + default: + goto break2; + } + break2: + if (*s == '0') { +#ifndef NO_HEX_FP /*{*/ + { + static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI }; + Long exp; + ULong bits[2]; + switch(s[1]) { + case 'x': + case 'X': + { +#ifdef Honor_FLT_ROUNDS + FPI fpi1 = fpi; + fpi1.rounding = Rounding; +#else +#define fpi1 fpi +#endif + switch((i = gethex(&s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) { + case STRTOG_NoMemory: + goto ovfl; + case STRTOG_NoNumber: + s = s00; + sign = 0; + case STRTOG_Zero: + break; + default: + if (bb) { + copybits(bits, fpi.nbits, bb); + Bfree(bb); + } + ULtod(((U*)&rv)->L, bits, exp, i); + }} + goto ret; + } + } +#endif /*}*/ + 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; +#ifdef USE_LOCALE + if (c == *decimalpoint) { + for(i = 1; decimalpoint[i]; ++i) + if (s[i] != decimalpoint[i]) + goto dig_done; + s += i; + c = *s; +#else + if (c == '.') { + c = *++s; +#endif + decpt = 1; + 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) { + goto ret0; + } + 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) { +#ifdef INFNAN_CHECK + /* Check for Nan and Infinity */ + ULong bits[2]; + static FPI fpinan = /* only 52 explicit bits */ + { 52, 1-1023-53+1, 2046-1023-53+1, 1, SI }; + if (!decpt) + switch(c) { + case 'i': + case 'I': + if (match(&s,"nf")) { + --s; + if (!match(&s,"inity")) + ++s; + word0(&rv) = 0x7ff00000; + word1(&rv) = 0; + goto ret; + } + break; + case 'n': + case 'N': + if (match(&s, "an")) { +#ifndef No_Hex_NaN + if (*s == '(' /*)*/ + && hexnan(&s, &fpinan, bits) + == STRTOG_NaNbits) { + word0(&rv) = 0x7ff00000 | bits[1]; + word1(&rv) = bits[0]; + } + else { +#endif + word0(&rv) = NAN_WORD0; + word1(&rv) = NAN_WORD1; +#ifndef No_Hex_NaN + } +#endif + goto ret; + } + } +#endif /* INFNAN_CHECK */ + ret0: + s = s00; + sign = 0; + } + 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; + dval(&rv) = y; + if (k > 9) { +#ifdef SET_INEXACT + if (k > DBL_DIG) + oldinexact = get_inexact(); +#endif + dval(&rv) = tens[k - 9] * dval(&rv) + z; + } + if (nd <= DBL_DIG +#ifndef RND_PRODQUOT +#ifndef Honor_FLT_ROUNDS + && Flt_Rounds == 1 +#endif +#endif + ) { + if (!e) + goto ret; +#ifndef ROUND_BIASED_without_Round_Up + if (e > 0) { + if (e <= Ten_pmax) { +#ifdef VAX + goto vax_ovfl_check; +#else +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + rv.d = -rv.d; + sign = 0; + } +#endif + /* rv = */ rounded_product(dval(&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. + */ +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + rv.d = -rv.d; + sign = 0; + } +#endif + e -= i; + dval(&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; + /* rv = */ rounded_product(dval(&rv), tens[e]); + if ((word0(&rv) & Exp_mask) + > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) + goto ovfl; + word0(&rv) += P*Exp_msk1; +#else + /* rv = */ rounded_product(dval(&rv), tens[e]); +#endif + goto ret; + } + } +#ifndef Inaccurate_Divide + else if (e >= -Ten_pmax) { +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + rv.d = -rv.d; + sign = 0; + } +#endif + /* rv = */ rounded_quotient(dval(&rv), tens[-e]); + goto ret; + } +#endif +#endif /* ROUND_BIASED_without_Round_Up */ + } + e1 += nd - k; + +#ifdef IEEE_Arith +#ifdef SET_INEXACT + inexact = 1; + if (k <= DBL_DIG) + oldinexact = get_inexact(); +#endif +#ifdef Avoid_Underflow + scale = 0; +#endif +#ifdef Honor_FLT_ROUNDS + if (Rounding >= 2) { + if (sign) + Rounding = Rounding == 2 ? 0 : 2; + else + if (Rounding != 2) + Rounding = 0; + } +#endif +#endif /*IEEE_Arith*/ + + /* Get starting approximation = rv * 10**e1 */ + + if (e1 > 0) { + if ( (i = e1 & 15) !=0) + dval(&rv) *= tens[i]; + if (e1 &= ~15) { + if (e1 > DBL_MAX_10_EXP) { + ovfl: + /* Can't trust HUGE_VAL */ +#ifdef IEEE_Arith +#ifdef Honor_FLT_ROUNDS + switch(Rounding) { + case 0: /* toward 0 */ + case 3: /* toward -infinity */ + word0(&rv) = Big0; + word1(&rv) = Big1; + break; + default: + word0(&rv) = Exp_mask; + word1(&rv) = 0; + } +#else /*Honor_FLT_ROUNDS*/ + word0(&rv) = Exp_mask; + word1(&rv) = 0; +#endif /*Honor_FLT_ROUNDS*/ +#ifdef SET_INEXACT + /* set overflow bit */ + dval(&rv0) = 1e300; + dval(&rv0) *= dval(&rv0); +#endif +#else /*IEEE_Arith*/ + word0(&rv) = Big0; + word1(&rv) = Big1; +#endif /*IEEE_Arith*/ + range_err: + if (bd0) { + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(bd0); + Bfree(delta); + } +#ifndef NO_ERRNO + errno = ERANGE; +#endif + goto ret; + } + e1 >>= 4; + for(j = 0; e1 > 1; j++, e1 >>= 1) + if (e1 & 1) + dval(&rv) *= bigtens[j]; + /* The last multiplication could overflow. */ + word0(&rv) -= P*Exp_msk1; + dval(&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) !=0) + dval(&rv) /= tens[i]; + if (e1 >>= 4) { + if (e1 >= 1 << n_bigtens) + goto undfl; +#ifdef Avoid_Underflow + if (e1 & Scale_Bit) + scale = 2*P; + for(j = 0; e1 > 0; j++, e1 >>= 1) + if (e1 & 1) + dval(&rv) *= tinytens[j]; + if (scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask) + >> Exp_shift)) > 0) { + /* scaled rv is denormal; zap j low bits */ + if (j >= 32) { + word1(&rv) = 0; + if (j >= 53) + word0(&rv) = (P+2)*Exp_msk1; + else + word0(&rv) &= 0xffffffff << (j-32); + } + else + word1(&rv) &= 0xffffffff << j; + } +#else + for(j = 0; e1 > 1; j++, e1 >>= 1) + if (e1 & 1) + dval(&rv) *= tinytens[j]; + /* The last multiplication could underflow. */ + dval(&rv0) = dval(&rv); + dval(&rv) *= tinytens[j]; + if (!dval(&rv)) { + dval(&rv) = 2.*dval(&rv0); + dval(&rv) *= tinytens[j]; +#endif + if (!dval(&rv)) { + undfl: + dval(&rv) = 0.; + goto range_err; + } +#ifndef Avoid_Underflow + word0(&rv) = Tiny0; + word1(&rv) = Tiny1; + /* The refinement below will clean + * this approximation up. + */ + } +#endif + } + } + + /* 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, dplen); + if (bd0 == NULL) + goto ovfl; + + for(;;) { + bd = Balloc(bd0->k); + if (bd == NULL) + goto ovfl; + Bcopy(bd, bd0); + bb = d2b(dval(&rv), &bbe, &bbbits); /* rv = bb * 2^bbe */ + if (bb == NULL) + goto ovfl; + bs = i2b(1); + if (bs == NULL) + goto ovfl; + + 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 Honor_FLT_ROUNDS + if (Rounding != 1) + bs2++; +#endif +#ifdef Avoid_Underflow + Lsb = LSB; + Lsb1 = 0; + j = bbe - scale; + i = j + bbbits - 1; /* logb(rv) */ + j = P + 1 - bbbits; + if (i < Emin) { /* denormal */ + i = Emin - i; + j -= i; + if (i < 32) + Lsb <<= i; + else + Lsb1 = Lsb << (i-32); + } +#else /*Avoid_Underflow*/ +#ifdef Sudden_Underflow +#ifdef IBM + j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3); +#else + j = P + 1 - bbbits; +#endif +#else /*Sudden_Underflow*/ + j = bbe; + i = j + bbbits - 1; /* logb(&rv) */ + if (i < Emin) /* denormal */ + j += P - Emin; + else + j = P + 1 - bbbits; +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + bb2 += j; + bd2 += j; +#ifdef Avoid_Underflow + bd2 += scale; +#endif + 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); + if (bs == NULL) + goto ovfl; + bb1 = mult(bs, bb); + if (bb1 == NULL) + goto ovfl; + Bfree(bb); + bb = bb1; + } + if (bb2 > 0) { + bb = lshift(bb, bb2); + if (bb == NULL) + goto ovfl; + } + if (bd5 > 0) { + bd = pow5mult(bd, bd5); + if (bd == NULL) + goto ovfl; + } + if (bd2 > 0) { + bd = lshift(bd, bd2); + if (bd == NULL) + goto ovfl; + } + if (bs2 > 0) { + bs = lshift(bs, bs2); + if (bs == NULL) + goto ovfl; + } + delta = diff(bb, bd); + if (delta == NULL) + goto ovfl; + dsign = delta->sign; + delta->sign = 0; + i = cmp(delta, bs); +#ifdef Honor_FLT_ROUNDS + if (Rounding != 1) { + if (i < 0) { + /* Error is less than an ulp */ + if (!delta->x[0] && delta->wds <= 1) { + /* exact */ +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + if (Rounding) { + if (dsign) { + dval(&adj) = 1.; + goto apply_adj; + } + } + else if (!dsign) { + dval(&adj) = -1.; + if (!word1(&rv) + && !(word0(&rv) & Frac_mask)) { + y = word0(&rv) & Exp_mask; +#ifdef Avoid_Underflow + if (!scale || y > 2*P*Exp_msk1) +#else + if (y) +#endif + { + delta = lshift(delta,Log2P); + if (delta == NULL) + goto ovfl; + if (cmp(delta, bs) <= 0) + dval(&adj) = -0.5; + } + } + apply_adj: +#ifdef Avoid_Underflow + if (scale && (y = word0(&rv) & Exp_mask) + <= 2*P*Exp_msk1) + word0(&adj) += (2*P+1)*Exp_msk1 - y; +#else +#ifdef Sudden_Underflow + if ((word0(&rv) & Exp_mask) <= + P*Exp_msk1) { + word0(&rv) += P*Exp_msk1; + dval(&rv) += adj*ulp(&rv); + word0(&rv) -= P*Exp_msk1; + } + else +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + dval(&rv) += adj.d*ulp(&rv); + } + break; + } + dval(&adj) = ratio(delta, bs); + if (adj.d < 1.) + dval(&adj) = 1.; + if (adj.d <= 0x7ffffffe) { + /* dval(&adj) = Rounding ? ceil(&adj) : floor(&adj); */ + y = adj.d; + if (y != adj.d) { + if (!((Rounding>>1) ^ dsign)) + y++; + dval(&adj) = y; + } + } +#ifdef Avoid_Underflow + if (scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1) + word0(&adj) += (2*P+1)*Exp_msk1 - y; +#else +#ifdef Sudden_Underflow + if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) { + word0(&rv) += P*Exp_msk1; + dval(&adj) *= ulp(&rv); + if (dsign) + dval(&rv) += adj; + else + dval(&rv) -= adj; + word0(&rv) -= P*Exp_msk1; + goto cont; + } +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + dval(&adj) *= ulp(&rv); + if (dsign) { + if (word0(&rv) == Big0 && word1(&rv) == Big1) + goto ovfl; + dval(&rv) += adj.d; + } + else + dval(&rv) -= adj.d; + goto cont; + } +#endif /*Honor_FLT_ROUNDS*/ + + 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 +#ifdef IEEE_Arith +#ifdef Avoid_Underflow + || (word0(&rv) & Exp_mask) <= (2*P+1)*Exp_msk1 +#else + || (word0(&rv) & Exp_mask) <= Exp_msk1 +#endif +#endif + ) { +#ifdef SET_INEXACT + if (!delta->x[0] && delta->wds <= 1) + inexact = 0; +#endif + break; + } + if (!delta->x[0] && delta->wds <= 1) { + /* exact result */ +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + delta = lshift(delta,Log2P); + if (delta == NULL) + goto ovfl; + 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) == ( +#ifdef Avoid_Underflow + (scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1) + ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) : +#endif + 0xffffffff)) { + /*boundary case -- increment exponent*/ + if (word0(&rv) == Big0 && word1(&rv) == Big1) + goto ovfl; + word0(&rv) = (word0(&rv) & Exp_mask) + + Exp_msk1 +#ifdef IBM + | Exp_msk1 >> 4 +#endif + ; + word1(&rv) = 0; +#ifdef Avoid_Underflow + dsign = 0; +#endif + 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 +#ifdef Avoid_Underflow + if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1)) +#else + if (L <= Exp_msk1) +#endif /*Avoid_Underflow*/ +#endif /*IBM*/ + goto undfl; + L -= Exp_msk1; +#else /*Sudden_Underflow}{*/ +#ifdef Avoid_Underflow + if (scale) { + L = word0(&rv) & Exp_mask; + if (L <= (2*P+1)*Exp_msk1) { + if (L > (P+2)*Exp_msk1) + /* round even ==> */ + /* accept rv */ + break; + /* rv = smallest denormal */ + goto undfl; + } + } +#endif /*Avoid_Underflow*/ + L = (word0(&rv) & Exp_mask) - Exp_msk1; +#endif /*Sudden_Underflow}}*/ + word0(&rv) = L | Bndry_mask1; + word1(&rv) = 0xffffffff; +#ifdef IBM + goto cont; +#else + break; +#endif + } +#ifndef ROUND_BIASED +#ifdef Avoid_Underflow + if (Lsb1) { + if (!(word0(&rv) & Lsb1)) + break; + } + else if (!(word1(&rv) & Lsb)) + break; +#else + if (!(word1(&rv) & LSB)) + break; +#endif +#endif + if (dsign) +#ifdef Avoid_Underflow + dval(&rv) += sulp(&rv, scale); +#else + dval(&rv) += ulp(&rv); +#endif +#ifndef ROUND_BIASED + else { +#ifdef Avoid_Underflow + dval(&rv) -= sulp(&rv, scale); +#else + dval(&rv) -= ulp(&rv); +#endif +#ifndef Sudden_Underflow + if (!dval(&rv)) + goto undfl; +#endif + } +#ifdef Avoid_Underflow + dsign = 1 - dsign; +#endif +#endif + break; + } + if ((aadj = ratio(delta, bs)) <= 2.) { + if (dsign) + aadj = dval(&aadj1) = 1.; + else if (word1(&rv) || word0(&rv) & Bndry_mask) { +#ifndef Sudden_Underflow + if (word1(&rv) == Tiny1 && !word0(&rv)) + goto undfl; +#endif + aadj = 1.; + dval(&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; + dval(&aadj1) = -aadj; + } + } + else { + aadj *= 0.5; + dval(&aadj1) = dsign ? aadj : -aadj; +#ifdef Check_FLT_ROUNDS + switch(Rounding) { + case 2: /* towards +infinity */ + dval(&aadj1) -= 0.5; + break; + case 0: /* towards 0 */ + case 3: /* towards -infinity */ + dval(&aadj1) += 0.5; + } +#else + if (Flt_Rounds == 0) + dval(&aadj1) += 0.5; +#endif /*Check_FLT_ROUNDS*/ + } + y = word0(&rv) & Exp_mask; + + /* Check for overflow */ + + if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) { + dval(&rv0) = dval(&rv); + word0(&rv) -= P*Exp_msk1; + dval(&adj) = dval(&aadj1) * ulp(&rv); + dval(&rv) += dval(&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 Avoid_Underflow + if (scale && y <= 2*P*Exp_msk1) { + if (aadj <= 0x7fffffff) { + if ((z = aadj) <= 0) + z = 1; + aadj = z; + dval(&aadj1) = dsign ? aadj : -aadj; + } + word0(&aadj1) += (2*P+1)*Exp_msk1 - y; + } + dval(&adj) = dval(&aadj1) * ulp(&rv); + dval(&rv) += dval(&adj); +#else +#ifdef Sudden_Underflow + if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) { + dval(&rv0) = dval(&rv); + word0(&rv) += P*Exp_msk1; + dval(&adj) = dval(&aadj1) * ulp(&rv); + dval(&rv) += dval(&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 { + dval(&adj) = dval(&aadj1) * ulp(&rv); + dval(&rv) += dval(&adj); + } +#else /*Sudden_Underflow*/ + /* Compute dval(&adj) so that the IEEE rounding rules will + * correctly round rv + dval(&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.) { + dval(&aadj1) = (double)(int)(aadj + 0.5); + if (!dsign) + dval(&aadj1) = -dval(&aadj1); + } + dval(&adj) = dval(&aadj1) * ulp(&rv); + dval(&rv) += adj; +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + } + z = word0(&rv) & Exp_mask; +#ifndef SET_INEXACT +#ifdef Avoid_Underflow + if (!scale) +#endif + if (y == z) { + /* Can we stop now? */ + L = (Long)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; + } +#endif + cont: + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(delta); + } + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(bd0); + Bfree(delta); +#ifdef SET_INEXACT + if (inexact) { + if (!oldinexact) { + word0(&rv0) = Exp_1 + (70 << Exp_shift); + word1(&rv0) = 0; + dval(&rv0) += 1.; + } + } + else if (!oldinexact) + clear_inexact(); +#endif +#ifdef Avoid_Underflow + if (scale) { + word0(&rv0) = Exp_1 - 2*P*Exp_msk1; + word1(&rv0) = 0; + dval(&rv) *= dval(&rv0); +#ifndef NO_ERRNO + /* try to avoid the bug of testing an 8087 register value */ +#ifdef IEEE_Arith + if (!(word0(&rv) & Exp_mask)) +#else + if (word0(&rv) == 0 && word1(&rv) == 0) +#endif + errno = ERANGE; +#endif + } +#endif /* Avoid_Underflow */ +#ifdef SET_INEXACT + if (inexact && !(word0(&rv) & Exp_mask)) { + /* set underflow bit */ + dval(&rv0) = 1e-300; + dval(&rv0) *= dval(&rv0); + } +#endif + ret: + if (se) + *se = (char *)s; + return sign ? -dval(&rv) : dval(&rv); + } + diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/strtodg.c b/libc/upstream-openbsd/lib/libc/gdtoa/strtodg.c new file mode 100644 index 000000000..753f6bf0e --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/strtodg.c @@ -0,0 +1,1154 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998-2001 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + +#ifdef USE_LOCALE +#include "locale.h" +#endif + + static CONST int +fivesbits[] = { 0, 3, 5, 7, 10, 12, 14, 17, 19, 21, + 24, 26, 28, 31, 33, 35, 38, 40, 42, 45, + 47, 49, 52 +#ifdef VAX + , 54, 56 +#endif + }; + + Bigint * +#ifdef KR_headers +increment(b) Bigint *b; +#else +increment(Bigint *b) +#endif +{ + ULong *x, *xe; + Bigint *b1; +#ifdef Pack_16 + ULong carry = 1, y; +#endif + + x = b->x; + xe = x + b->wds; +#ifdef Pack_32 + do { + if (*x < (ULong)0xffffffffL) { + ++*x; + return b; + } + *x++ = 0; + } while(x < xe); +#else + do { + y = *x + carry; + carry = y >> 16; + *x++ = y & 0xffff; + if (!carry) + return b; + } while(x < xe); + if (carry) +#endif + { + if (b->wds >= b->maxwds) { + b1 = Balloc(b->k+1); + if (b1 == NULL) + return (NULL); + Bcopy(b1,b); + Bfree(b); + b = b1; + } + b->x[b->wds++] = 1; + } + return b; + } + + void +#ifdef KR_headers +decrement(b) Bigint *b; +#else +decrement(Bigint *b) +#endif +{ + ULong *x, *xe; +#ifdef Pack_16 + ULong borrow = 1, y; +#endif + + x = b->x; + xe = x + b->wds; +#ifdef Pack_32 + do { + if (*x) { + --*x; + break; + } + *x++ = 0xffffffffL; + } + while(x < xe); +#else + do { + y = *x - borrow; + borrow = (y & 0x10000) >> 16; + *x++ = y & 0xffff; + } while(borrow && x < xe); +#endif + } + + static int +#ifdef KR_headers +all_on(b, n) Bigint *b; int n; +#else +all_on(Bigint *b, int n) +#endif +{ + ULong *x, *xe; + + x = b->x; + xe = x + (n >> kshift); + while(x < xe) + if ((*x++ & ALL_ON) != ALL_ON) + return 0; + if (n &= kmask) + return ((*x | (ALL_ON << n)) & ALL_ON) == ALL_ON; + return 1; + } + + Bigint * +#ifdef KR_headers +set_ones(b, n) Bigint *b; int n; +#else +set_ones(Bigint *b, int n) +#endif +{ + int k; + ULong *x, *xe; + + k = (n + ((1 << kshift) - 1)) >> kshift; + if (b->k < k) { + Bfree(b); + b = Balloc(k); + if (b == NULL) + return (NULL); + } + k = n >> kshift; + if (n &= kmask) + k++; + b->wds = k; + x = b->x; + xe = x + k; + while(x < xe) + *x++ = ALL_ON; + if (n) + x[-1] >>= ULbits - n; + return b; + } + + static int +rvOK +#ifdef KR_headers + (d, fpi, exp, bits, exact, rd, irv) + U *d; FPI *fpi; Long *exp; ULong *bits; int exact, rd, *irv; +#else + (U *d, FPI *fpi, Long *exp, ULong *bits, int exact, int rd, int *irv) +#endif +{ + Bigint *b; + ULong carry, inex, lostbits; + int bdif, e, j, k, k1, nb, rv; + + carry = rv = 0; + b = d2b(dval(d), &e, &bdif); + if (b == NULL) { + *irv = STRTOG_NoMemory; + return (1); + } + bdif -= nb = fpi->nbits; + e += bdif; + if (bdif <= 0) { + if (exact) + goto trunc; + goto ret; + } + if (P == nb) { + if ( +#ifndef IMPRECISE_INEXACT + exact && +#endif + fpi->rounding == +#ifdef RND_PRODQUOT + FPI_Round_near +#else + Flt_Rounds +#endif + ) goto trunc; + goto ret; + } + switch(rd) { + case 1: /* round down (toward -Infinity) */ + goto trunc; + case 2: /* round up (toward +Infinity) */ + break; + default: /* round near */ + k = bdif - 1; + if (k < 0) + goto trunc; + if (!k) { + if (!exact) + goto ret; + if (b->x[0] & 2) + break; + goto trunc; + } + if (b->x[k>>kshift] & ((ULong)1 << (k & kmask))) + break; + goto trunc; + } + /* "break" cases: round up 1 bit, then truncate; bdif > 0 */ + carry = 1; + trunc: + inex = lostbits = 0; + if (bdif > 0) { + if ( (lostbits = any_on(b, bdif)) !=0) + inex = STRTOG_Inexlo; + rshift(b, bdif); + if (carry) { + inex = STRTOG_Inexhi; + b = increment(b); + if (b == NULL) { + *irv = STRTOG_NoMemory; + return (1); + } + if ( (j = nb & kmask) !=0) + j = ULbits - j; + if (hi0bits(b->x[b->wds - 1]) != j) { + if (!lostbits) + lostbits = b->x[0] & 1; + rshift(b, 1); + e++; + } + } + } + else if (bdif < 0) { + b = lshift(b, -bdif); + if (b == NULL) { + *irv = STRTOG_NoMemory; + return (1); + } + } + if (e < fpi->emin) { + k = fpi->emin - e; + e = fpi->emin; + if (k > nb || fpi->sudden_underflow) { + b->wds = inex = 0; + *irv = STRTOG_Underflow | STRTOG_Inexlo; + } + else { + k1 = k - 1; + if (k1 > 0 && !lostbits) + lostbits = any_on(b, k1); + if (!lostbits && !exact) + goto ret; + lostbits |= + carry = b->x[k1>>kshift] & (1 << (k1 & kmask)); + rshift(b, k); + *irv = STRTOG_Denormal; + if (carry) { + b = increment(b); + if (b == NULL) { + *irv = STRTOG_NoMemory; + return (1); + } + inex = STRTOG_Inexhi | STRTOG_Underflow; + } + else if (lostbits) + inex = STRTOG_Inexlo | STRTOG_Underflow; + } + } + else if (e > fpi->emax) { + e = fpi->emax + 1; + *irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + b->wds = inex = 0; + } + *exp = e; + copybits(bits, nb, b); + *irv |= inex; + rv = 1; + ret: + Bfree(b); + return rv; + } + + static int +#ifdef KR_headers +mantbits(d) U *d; +#else +mantbits(U *d) +#endif +{ + ULong L; +#ifdef VAX + L = word1(d) << 16 | word1(d) >> 16; + if (L) +#else + if ( (L = word1(d)) !=0) +#endif + return P - lo0bits(&L); +#ifdef VAX + L = word0(d) << 16 | word0(d) >> 16 | Exp_msk11; +#else + L = word0(d) | Exp_msk1; +#endif + return P - 32 - lo0bits(&L); + } + + int +strtodg +#ifdef KR_headers + (s00, se, fpi, exp, bits) + CONST char *s00; char **se; FPI *fpi; Long *exp; ULong *bits; +#else + (CONST char *s00, char **se, FPI *fpi, Long *exp, ULong *bits) +#endif +{ + int abe, abits, asub; + int bb0, bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, denorm; + int dsign, e, e1, e2, emin, esign, finished, i, inex, irv; + int j, k, nbits, nd, nd0, nf, nz, nz0, rd, rvbits, rve, rve1, sign; + int sudden_underflow; + CONST char *s, *s0, *s1; + double adj0, tol; + Long L; + U adj, rv; + ULong *b, *be, y, z; + Bigint *ab, *bb, *bb1, *bd, *bd0, *bs, *delta, *rvb, *rvb0; +#ifdef USE_LOCALE /*{{*/ +#ifdef NO_LOCALE_CACHE + char *decimalpoint = localeconv()->decimal_point; + int dplen = strlen(decimalpoint); +#else + char *decimalpoint; + static char *decimalpoint_cache; + static int dplen; + if (!(s0 = decimalpoint_cache)) { + s0 = localeconv()->decimal_point; + if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) { + strlcpy(decimalpoint_cache, s0, strlen(s0) + 1); + s0 = decimalpoint_cache; + } + dplen = strlen(s0); + } + decimalpoint = (char*)s0; +#endif /*NO_LOCALE_CACHE*/ +#else /*USE_LOCALE}{*/ +#define dplen 1 +#endif /*USE_LOCALE}}*/ + + irv = STRTOG_Zero; + denorm = sign = nz0 = nz = 0; + dval(&rv) = 0.; + rvb = 0; + nbits = fpi->nbits; + for(s = s00;;s++) switch(*s) { + case '-': + sign = 1; + /* no break */ + case '+': + if (*++s) + goto break2; + /* no break */ + case 0: + sign = 0; + irv = STRTOG_NoNumber; + s = s00; + goto ret; + case '\t': + case '\n': + case '\v': + case '\f': + case '\r': + case ' ': + continue; + default: + goto break2; + } + break2: + if (*s == '0') { +#ifndef NO_HEX_FP + switch(s[1]) { + case 'x': + case 'X': + irv = gethex(&s, fpi, exp, &rvb, sign); + if (irv == STRTOG_NoMemory) + return (STRTOG_NoMemory); + if (irv == STRTOG_NoNumber) { + s = s00; + sign = 0; + } + goto ret; + } +#endif + nz0 = 1; + while(*++s == '0') ; + if (!*s) + goto ret; + } + sudden_underflow = fpi->sudden_underflow; + s0 = s; + y = z = 0; + for(decpt = 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; +#ifdef USE_LOCALE + if (c == *decimalpoint) { + for(i = 1; decimalpoint[i]; ++i) + if (s[i] != decimalpoint[i]) + goto dig_done; + s += i; + c = *s; +#else + if (c == '.') { + c = *++s; +#endif + decpt = 1; + 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) { + irv = STRTOG_NoNumber; + 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) { +#ifdef INFNAN_CHECK + /* Check for Nan and Infinity */ + if (!decpt) + switch(c) { + case 'i': + case 'I': + if (match(&s,"nf")) { + --s; + if (!match(&s,"inity")) + ++s; + irv = STRTOG_Infinite; + goto infnanexp; + } + break; + case 'n': + case 'N': + if (match(&s, "an")) { + irv = STRTOG_NaN; + *exp = fpi->emax + 1; +#ifndef No_Hex_NaN + if (*s == '(') /*)*/ + irv = hexnan(&s, fpi, bits); +#endif + goto infnanexp; + } + } +#endif /* INFNAN_CHECK */ + irv = STRTOG_NoNumber; + s = s00; + } + goto ret; + } + + irv = STRTOG_Normal; + e1 = e -= nf; + rd = 0; + switch(fpi->rounding & 3) { + case FPI_Round_up: + rd = 2 - sign; + break; + case FPI_Round_zero: + rd = 1; + break; + case FPI_Round_down: + rd = 1 + sign; + } + + /* 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; + dval(&rv) = y; + if (k > 9) + dval(&rv) = tens[k - 9] * dval(&rv) + z; + bd0 = 0; + if (nbits <= P && nd <= DBL_DIG) { + if (!e) { + if (rvOK(&rv, fpi, exp, bits, 1, rd, &irv)) { + if (irv == STRTOG_NoMemory) + return (STRTOG_NoMemory); + goto ret; + } + } + else if (e > 0) { + if (e <= Ten_pmax) { +#ifdef VAX + goto vax_ovfl_check; +#else + i = fivesbits[e] + mantbits(&rv) <= P; + /* rv = */ rounded_product(dval(&rv), tens[e]); + if (rvOK(&rv, fpi, exp, bits, i, rd, &irv)) { + if (irv == STRTOG_NoMemory) + return (STRTOG_NoMemory); + goto ret; + } + e1 -= e; + goto rv_notOK; +#endif + } + i = DBL_DIG - nd; + if (e <= Ten_pmax + i) { + /* A fancier test would sometimes let us do + * this for larger i values. + */ + e2 = e - i; + e1 -= i; + dval(&rv) *= tens[i]; +#ifdef VAX + /* VAX exponent range is so narrow we must + * worry about overflow here... + */ + vax_ovfl_check: + dval(&adj) = dval(&rv); + word0(&adj) -= P*Exp_msk1; + /* adj = */ rounded_product(dval(&adj), tens[e2]); + if ((word0(&adj) & Exp_mask) + > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) + goto rv_notOK; + word0(&adj) += P*Exp_msk1; + dval(&rv) = dval(&adj); +#else + /* rv = */ rounded_product(dval(&rv), tens[e2]); +#endif + if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv)) { + if (irv == STRTOG_NoMemory) + return (STRTOG_NoMemory); + goto ret; + } + e1 -= e2; + } + } +#ifndef Inaccurate_Divide + else if (e >= -Ten_pmax) { + /* rv = */ rounded_quotient(dval(&rv), tens[-e]); + if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv)) { + if (irv == STRTOG_NoMemory) + return (STRTOG_NoMemory); + goto ret; + } + e1 -= e; + } +#endif + } + rv_notOK: + e1 += nd - k; + + /* Get starting approximation = rv * 10**e1 */ + + e2 = 0; + if (e1 > 0) { + if ( (i = e1 & 15) !=0) + dval(&rv) *= tens[i]; + if (e1 &= ~15) { + e1 >>= 4; + while(e1 >= (1 << (n_bigtens-1))) { + e2 += ((word0(&rv) & Exp_mask) + >> Exp_shift1) - Bias; + word0(&rv) &= ~Exp_mask; + word0(&rv) |= Bias << Exp_shift1; + dval(&rv) *= bigtens[n_bigtens-1]; + e1 -= 1 << (n_bigtens-1); + } + e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias; + word0(&rv) &= ~Exp_mask; + word0(&rv) |= Bias << Exp_shift1; + for(j = 0; e1 > 0; j++, e1 >>= 1) + if (e1 & 1) + dval(&rv) *= bigtens[j]; + } + } + else if (e1 < 0) { + e1 = -e1; + if ( (i = e1 & 15) !=0) + dval(&rv) /= tens[i]; + if (e1 &= ~15) { + e1 >>= 4; + while(e1 >= (1 << (n_bigtens-1))) { + e2 += ((word0(&rv) & Exp_mask) + >> Exp_shift1) - Bias; + word0(&rv) &= ~Exp_mask; + word0(&rv) |= Bias << Exp_shift1; + dval(&rv) *= tinytens[n_bigtens-1]; + e1 -= 1 << (n_bigtens-1); + } + e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias; + word0(&rv) &= ~Exp_mask; + word0(&rv) |= Bias << Exp_shift1; + for(j = 0; e1 > 0; j++, e1 >>= 1) + if (e1 & 1) + dval(&rv) *= tinytens[j]; + } + } +#ifdef IBM + /* e2 is a correction to the (base 2) exponent of the return + * value, reflecting adjustments above to avoid overflow in the + * native arithmetic. For native IBM (base 16) arithmetic, we + * must multiply e2 by 4 to change from base 16 to 2. + */ + e2 <<= 2; +#endif + rvb = d2b(dval(&rv), &rve, &rvbits); /* rv = rvb * 2^rve */ + if (rvb == NULL) + return (STRTOG_NoMemory); + rve += e2; + if ((j = rvbits - nbits) > 0) { + rshift(rvb, j); + rvbits = nbits; + rve += j; + } + bb0 = 0; /* trailing zero bits in rvb */ + e2 = rve + rvbits - nbits; + if (e2 > fpi->emax + 1) + goto huge; + rve1 = rve + rvbits - nbits; + if (e2 < (emin = fpi->emin)) { + denorm = 1; + j = rve - emin; + if (j > 0) { + rvb = lshift(rvb, j); + if (rvb == NULL) + return (STRTOG_NoMemory); + rvbits += j; + } + else if (j < 0) { + rvbits += j; + if (rvbits <= 0) { + if (rvbits < -1) { + ufl: + rvb->wds = 0; + rvb->x[0] = 0; + *exp = emin; + irv = STRTOG_Underflow | STRTOG_Inexlo; + goto ret; + } + rvb->x[0] = rvb->wds = rvbits = 1; + } + else + rshift(rvb, -j); + } + rve = rve1 = emin; + if (sudden_underflow && e2 + 1 < emin) + goto ufl; + } + + /* 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, dplen); + if (bd0 == NULL) + return (STRTOG_NoMemory); + + for(;;) { + bd = Balloc(bd0->k); + if (bd == NULL) + return (STRTOG_NoMemory); + Bcopy(bd, bd0); + bb = Balloc(rvb->k); + if (bb == NULL) + return (STRTOG_NoMemory); + Bcopy(bb, rvb); + bbbits = rvbits - bb0; + bbe = rve + bb0; + bs = i2b(1); + if (bs == NULL) + return (STRTOG_NoMemory); + + 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; + j = nbits + 1 - bbbits; + i = bbe + bbbits - nbits; + if (i < emin) /* denormal */ + j += i - emin; + 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); + if (bs == NULL) + return (STRTOG_NoMemory); + bb1 = mult(bs, bb); + if (bb1 == NULL) + return (STRTOG_NoMemory); + Bfree(bb); + bb = bb1; + } + bb2 -= bb0; + if (bb2 > 0) { + bb = lshift(bb, bb2); + if (bb == NULL) + return (STRTOG_NoMemory); + } + else if (bb2 < 0) + rshift(bb, -bb2); + if (bd5 > 0) { + bd = pow5mult(bd, bd5); + if (bd == NULL) + return (STRTOG_NoMemory); + } + if (bd2 > 0) { + bd = lshift(bd, bd2); + if (bd == NULL) + return (STRTOG_NoMemory); + } + if (bs2 > 0) { + bs = lshift(bs, bs2); + if (bs == NULL) + return (STRTOG_NoMemory); + } + asub = 1; + inex = STRTOG_Inexhi; + delta = diff(bb, bd); + if (delta == NULL) + return (STRTOG_NoMemory); + if (delta->wds <= 1 && !delta->x[0]) + break; + dsign = delta->sign; + delta->sign = finished = 0; + L = 0; + i = cmp(delta, bs); + if (rd && i <= 0) { + irv = STRTOG_Normal; + if ( (finished = dsign ^ (rd&1)) !=0) { + if (dsign != 0) { + irv |= STRTOG_Inexhi; + goto adj1; + } + irv |= STRTOG_Inexlo; + if (rve1 == emin) + goto adj1; + for(i = 0, j = nbits; j >= ULbits; + i++, j -= ULbits) { + if (rvb->x[i] & ALL_ON) + goto adj1; + } + if (j > 1 && lo0bits(rvb->x + i) < j - 1) + goto adj1; + rve = rve1 - 1; + rvb = set_ones(rvb, rvbits = nbits); + if (rvb == NULL) + return (STRTOG_NoMemory); + break; + } + irv |= dsign ? STRTOG_Inexlo : STRTOG_Inexhi; + break; + } + if (i < 0) { + /* Error is less than half an ulp -- check for + * special case of mantissa a power of two. + */ + irv = dsign + ? STRTOG_Normal | STRTOG_Inexlo + : STRTOG_Normal | STRTOG_Inexhi; + if (dsign || bbbits > 1 || denorm || rve1 == emin) + break; + delta = lshift(delta,1); + if (delta == NULL) + return (STRTOG_NoMemory); + if (cmp(delta, bs) > 0) { + irv = STRTOG_Normal | STRTOG_Inexlo; + goto drop_down; + } + break; + } + if (i == 0) { + /* exactly half-way between */ + if (dsign) { + if (denorm && all_on(rvb, rvbits)) { + /*boundary case -- increment exponent*/ + rvb->wds = 1; + rvb->x[0] = 1; + rve = emin + nbits - (rvbits = 1); + irv = STRTOG_Normal | STRTOG_Inexhi; + denorm = 0; + break; + } + irv = STRTOG_Normal | STRTOG_Inexlo; + } + else if (bbbits == 1) { + irv = STRTOG_Normal; + drop_down: + /* boundary case -- decrement exponent */ + if (rve1 == emin) { + irv = STRTOG_Normal | STRTOG_Inexhi; + if (rvb->wds == 1 && rvb->x[0] == 1) + sudden_underflow = 1; + break; + } + rve -= nbits; + rvb = set_ones(rvb, rvbits = nbits); + if (rvb == NULL) + return (STRTOG_NoMemory); + break; + } + else + irv = STRTOG_Normal | STRTOG_Inexhi; + if ((bbbits < nbits && !denorm) || !(rvb->x[0] & 1)) + break; + if (dsign) { + rvb = increment(rvb); + if (rvb == NULL) + return (STRTOG_NoMemory); + j = kmask & (ULbits - (rvbits & kmask)); + if (hi0bits(rvb->x[rvb->wds - 1]) != j) + rvbits++; + irv = STRTOG_Normal | STRTOG_Inexhi; + } + else { + if (bbbits == 1) + goto undfl; + decrement(rvb); + irv = STRTOG_Normal | STRTOG_Inexlo; + } + break; + } + if ((dval(&adj) = ratio(delta, bs)) <= 2.) { + adj1: + inex = STRTOG_Inexlo; + if (dsign) { + asub = 0; + inex = STRTOG_Inexhi; + } + else if (denorm && bbbits <= 1) { + undfl: + rvb->wds = 0; + rve = emin; + irv = STRTOG_Underflow | STRTOG_Inexlo; + break; + } + adj0 = dval(&adj) = 1.; + } + else { + adj0 = dval(&adj) *= 0.5; + if (dsign) { + asub = 0; + inex = STRTOG_Inexlo; + } + if (dval(&adj) < 2147483647.) { + L = adj0; + adj0 -= L; + switch(rd) { + case 0: + if (adj0 >= .5) + goto inc_L; + break; + case 1: + if (asub && adj0 > 0.) + goto inc_L; + break; + case 2: + if (!asub && adj0 > 0.) { + inc_L: + L++; + inex = STRTOG_Inexact - inex; + } + } + dval(&adj) = L; + } + } + y = rve + rvbits; + + /* adj *= ulp(dval(&rv)); */ + /* if (asub) rv -= adj; else rv += adj; */ + + if (!denorm && rvbits < nbits) { + rvb = lshift(rvb, j = nbits - rvbits); + if (rvb == NULL) + return (STRTOG_NoMemory); + rve -= j; + rvbits = nbits; + } + ab = d2b(dval(&adj), &abe, &abits); + if (ab == NULL) + return (STRTOG_NoMemory); + if (abe < 0) + rshift(ab, -abe); + else if (abe > 0) { + ab = lshift(ab, abe); + if (ab == NULL) + return (STRTOG_NoMemory); + } + rvb0 = rvb; + if (asub) { + /* rv -= adj; */ + j = hi0bits(rvb->x[rvb->wds-1]); + rvb = diff(rvb, ab); + if (rvb == NULL) + return (STRTOG_NoMemory); + k = rvb0->wds - 1; + if (denorm) + /* do nothing */; + else if (rvb->wds <= k + || hi0bits( rvb->x[k]) > + hi0bits(rvb0->x[k])) { + /* unlikely; can only have lost 1 high bit */ + if (rve1 == emin) { + --rvbits; + denorm = 1; + } + else { + rvb = lshift(rvb, 1); + if (rvb == NULL) + return (STRTOG_NoMemory); + --rve; + --rve1; + L = finished = 0; + } + } + } + else { + rvb = sum(rvb, ab); + if (rvb == NULL) + return (STRTOG_NoMemory); + k = rvb->wds - 1; + if (k >= rvb0->wds + || hi0bits(rvb->x[k]) < hi0bits(rvb0->x[k])) { + if (denorm) { + if (++rvbits == nbits) + denorm = 0; + } + else { + rshift(rvb, 1); + rve++; + rve1++; + L = 0; + } + } + } + Bfree(ab); + Bfree(rvb0); + if (finished) + break; + + z = rve + rvbits; + if (y == z && L) { + /* Can we stop now? */ + tol = dval(&adj) * 5e-16; /* > max rel error */ + dval(&adj) = adj0 - .5; + if (dval(&adj) < -tol) { + if (adj0 > tol) { + irv |= inex; + break; + } + } + else if (dval(&adj) > tol && adj0 < 1. - tol) { + irv |= inex; + break; + } + } + bb0 = denorm ? 0 : trailz(rvb); + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(delta); + } + if (!denorm && (j = nbits - rvbits)) { + if (j > 0) { + rvb = lshift(rvb, j); + if (rvb == NULL) + return (STRTOG_NoMemory); + } + else + rshift(rvb, -j); + rve -= j; + } + *exp = rve; + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(bd0); + Bfree(delta); + if (rve > fpi->emax) { + switch(fpi->rounding & 3) { + case FPI_Round_near: + goto huge; + case FPI_Round_up: + if (!sign) + goto huge; + break; + case FPI_Round_down: + if (sign) + goto huge; + } + /* Round to largest representable magnitude */ + Bfree(rvb); + rvb = 0; + irv = STRTOG_Normal | STRTOG_Inexlo; + *exp = fpi->emax; + b = bits; + be = b + ((fpi->nbits + 31) >> 5); + while(b < be) + *b++ = -1; + if ((j = fpi->nbits & 0x1f)) + *--be >>= (32 - j); + goto ret; + huge: + rvb->wds = 0; + irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + infnanexp: + *exp = fpi->emax + 1; + } + ret: + if (denorm) { + if (sudden_underflow) { + rvb->wds = 0; + irv = STRTOG_Underflow | STRTOG_Inexlo; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + } + else { + irv = (irv & ~STRTOG_Retmask) | + (rvb->wds > 0 ? STRTOG_Denormal : STRTOG_Zero); + if (irv & STRTOG_Inexact) { + irv |= STRTOG_Underflow; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + } + } + } + if (se) + *se = (char *)s; + if (sign) + irv |= STRTOG_Neg; + if (rvb) { + copybits(bits, nbits, rvb); + Bfree(rvb); + } + return irv; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/strtof.c b/libc/upstream-openbsd/lib/libc/gdtoa/strtof.c new file mode 100644 index 000000000..224491b50 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/strtof.c @@ -0,0 +1,81 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + float +#ifdef KR_headers +strtof(s, sp) CONST char *s; char **sp; +#else +strtof(CONST char *s, char **sp) +#endif +{ + static FPI fpi0 = { 24, 1-127-24+1, 254-127-24+1, 1, SI }; + ULong bits[1]; + Long exp; + int k; + union { ULong L[1]; float f; } u; +#ifdef Honor_FLT_ROUNDS +#include "gdtoa_fltrnds.h" +#else +#define fpi &fpi0 +#endif + + k = strtodg(s, sp, fpi, &exp, bits); + switch(k & STRTOG_Retmask) { + case STRTOG_NoNumber: + case STRTOG_Zero: + u.L[0] = 0; + break; + + case STRTOG_Normal: + case STRTOG_NaNbits: + u.L[0] = (bits[0] & 0x7fffff) | ((exp + 0x7f + 23) << 23); + break; + + case STRTOG_Denormal: + u.L[0] = bits[0]; + break; + + case STRTOG_NoMemory: + errno = ERANGE; + /* FALLTHROUGH */ + case STRTOG_Infinite: + u.L[0] = 0x7f800000; + break; + + case STRTOG_NaN: + u.L[0] = f_QNAN; + } + if (k & STRTOG_Neg) + u.L[0] |= 0x80000000L; + return u.f; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/strtorQ.c b/libc/upstream-openbsd/lib/libc/gdtoa/strtorQ.c new file mode 100644 index 000000000..715cb089a --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/strtorQ.c @@ -0,0 +1,120 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + +#undef _0 +#undef _1 + +/* one or the other of IEEE_MC68k or IEEE_8087 should be #defined */ + +#ifdef IEEE_MC68k +#define _0 0 +#define _1 1 +#define _2 2 +#define _3 3 +#endif +#ifdef IEEE_8087 +#define _0 3 +#define _1 2 +#define _2 1 +#define _3 0 +#endif + + void +#ifdef KR_headers +ULtoQ(L, bits, exp, k) ULong *L; ULong *bits; Long exp; int k; +#else +ULtoQ(ULong *L, ULong *bits, Long exp, int k) +#endif +{ + switch(k & STRTOG_Retmask) { + case STRTOG_NoNumber: + case STRTOG_Zero: + L[0] = L[1] = L[2] = L[3] = 0; + break; + + case STRTOG_Normal: + case STRTOG_NaNbits: + L[_3] = bits[0]; + L[_2] = bits[1]; + L[_1] = bits[2]; + L[_0] = (bits[3] & ~0x10000) | ((exp + 0x3fff + 112) << 16); + break; + + case STRTOG_Denormal: + L[_3] = bits[0]; + L[_2] = bits[1]; + L[_1] = bits[2]; + L[_0] = bits[3]; + break; + + case STRTOG_NoMemory: + errno = ERANGE; + /* FALLTHROUGH */ + case STRTOG_Infinite: + L[_0] = 0x7fff0000; + L[_1] = L[_2] = L[_3] = 0; + break; + + case STRTOG_NaN: + L[0] = ld_QNAN0; + L[1] = ld_QNAN1; + L[2] = ld_QNAN2; + L[3] = ld_QNAN3; + } + if (k & STRTOG_Neg) + L[_0] |= 0x80000000L; + } + + int +#ifdef KR_headers +strtorQ(s, sp, rounding, L) CONST char *s; char **sp; int rounding; void *L; +#else +strtorQ(CONST char *s, char **sp, int rounding, void *L) +#endif +{ + static FPI fpi0 = { 113, 1-16383-113+1, 32766-16383-113+1, 1, SI }; + FPI *fpi, fpi1; + ULong bits[4]; + Long exp; + int k; + + fpi = &fpi0; + if (rounding != FPI_Round_near) { + fpi1 = fpi0; + fpi1.rounding = rounding; + fpi = &fpi1; + } + k = strtodg(s, sp, fpi, &exp, bits); + ULtoQ((ULong*)L, bits, exp, k); + return k; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/strtord.c b/libc/upstream-openbsd/lib/libc/gdtoa/strtord.c new file mode 100644 index 000000000..966d26431 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/strtord.c @@ -0,0 +1,96 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 2000 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + void +#ifdef KR_headers +ULtod(L, bits, exp, k) ULong *L; ULong *bits; Long exp; int k; +#else +ULtod(ULong *L, ULong *bits, Long exp, int k) +#endif +{ + switch(k & STRTOG_Retmask) { + case STRTOG_NoNumber: + case STRTOG_Zero: + L[0] = L[1] = 0; + break; + + case STRTOG_Denormal: + L[_1] = bits[0]; + L[_0] = bits[1]; + break; + + case STRTOG_Normal: + case STRTOG_NaNbits: + L[_1] = bits[0]; + L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20); + break; + + case STRTOG_NoMemory: + errno = ERANGE; + /* FALLTHROUGH */ + case STRTOG_Infinite: + L[_0] = 0x7ff00000; + L[_1] = 0; + break; + + case STRTOG_NaN: + L[0] = d_QNAN0; + L[1] = d_QNAN1; + } + if (k & STRTOG_Neg) + L[_0] |= 0x80000000L; + } + + int +#ifdef KR_headers +strtord(s, sp, rounding, d) CONST char *s; char **sp; int rounding; double *d; +#else +strtord(CONST char *s, char **sp, int rounding, double *d) +#endif +{ + static FPI fpi0 = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI }; + FPI *fpi, fpi1; + ULong bits[2]; + Long exp; + int k; + + fpi = &fpi0; + if (rounding != FPI_Round_near) { + fpi1 = fpi0; + fpi1.rounding = rounding; + fpi = &fpi1; + } + k = strtodg(s, sp, fpi, &exp, bits); + ULtod((ULong*)d, bits, exp, k); + return k; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/sum.c b/libc/upstream-openbsd/lib/libc/gdtoa/sum.c new file mode 100644 index 000000000..c6eb954f0 --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/sum.c @@ -0,0 +1,102 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + Bigint * +#ifdef KR_headers +sum(a, b) Bigint *a; Bigint *b; +#else +sum(Bigint *a, Bigint *b) +#endif +{ + Bigint *c; + ULong carry, *xc, *xa, *xb, *xe, y; +#ifdef Pack_32 + ULong z; +#endif + + if (a->wds < b->wds) { + c = b; b = a; a = c; + } + c = Balloc(a->k); + if (c == NULL) + return (NULL); + c->wds = a->wds; + carry = 0; + xa = a->x; + xb = b->x; + xc = c->x; + xe = xc + b->wds; +#ifdef Pack_32 + do { + y = (*xa & 0xffff) + (*xb & 0xffff) + carry; + carry = (y & 0x10000) >> 16; + z = (*xa++ >> 16) + (*xb++ >> 16) + carry; + carry = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } + while(xc < xe); + xe += a->wds - b->wds; + while(xc < xe) { + y = (*xa & 0xffff) + carry; + carry = (y & 0x10000) >> 16; + z = (*xa++ >> 16) + carry; + carry = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } +#else + do { + y = *xa++ + *xb++ + carry; + carry = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } + while(xc < xe); + xe += a->wds - b->wds; + while(xc < xe) { + y = *xa++ + carry; + carry = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } +#endif + if (carry) { + if (c->wds == c->maxwds) { + b = Balloc(c->k + 1); + if (b == NULL) + return (NULL); + Bcopy(b, c); + Bfree(c); + c = b; + } + c->x[c->wds++] = 1; + } + return c; + } diff --git a/libc/upstream-openbsd/lib/libc/gdtoa/ulp.c b/libc/upstream-openbsd/lib/libc/gdtoa/ulp.c new file mode 100644 index 000000000..17e9f862c --- /dev/null +++ b/libc/upstream-openbsd/lib/libc/gdtoa/ulp.c @@ -0,0 +1,70 @@ +/**************************************************************** + +The author of this software is David M. Gay. + +Copyright (C) 1998, 1999 by Lucent Technologies +All Rights Reserved + +Permission to use, copy, modify, and distribute this software and +its documentation for any purpose and without fee is hereby +granted, provided that the above copyright notice appear in all +copies and that both that the copyright notice and this +permission notice and warranty disclaimer appear in supporting +documentation, and that the name of Lucent or any of its entities +not be used in advertising or publicity pertaining to +distribution of the software without specific, written prior +permission. + +LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, +INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. +IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY +SPECIAL, 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. + +****************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +#include "gdtoaimp.h" + + double +ulp +#ifdef KR_headers + (x) U *x; +#else + (U *x) +#endif +{ + Long L; + U a; + + 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 dval(&a); + } diff --git a/libc/upstream-openbsd/thread_private.h b/libc/upstream-openbsd/thread_private.h new file mode 100644 index 000000000..10421e2c1 --- /dev/null +++ b/libc/upstream-openbsd/thread_private.h @@ -0,0 +1,26 @@ +/* + * Copyright (C) 2014 The Android Open Source Project + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _THREAD_PRIVATE_H_ +#define _THREAD_PRIVATE_H_ + +#include + +/* Note that these aren't compatible with the usual OpenBSD ones which lazy-initialize! */ +#define _MUTEX_LOCK(l) pthread_mutex_lock((pthread_mutex_t*) l) +#define _MUTEX_UNLOCK(l) pthread_mutex_unlock((pthread_mutex_t*) l) + +#endif /* _THREAD_PRIVATE_H_ */ diff --git a/tests/stdio_test.cpp b/tests/stdio_test.cpp index 0aa1d15b2..f991a5b02 100644 --- a/tests/stdio_test.cpp +++ b/tests/stdio_test.cpp @@ -306,19 +306,19 @@ TEST(stdio, snprintf_smoke) { TEST(stdio, snprintf_f_special) { char buf[BUFSIZ]; snprintf(buf, sizeof(buf), "%f", nanf("")); - EXPECT_STREQ("NaN", buf); + EXPECT_STRCASEEQ("NaN", buf); snprintf(buf, sizeof(buf), "%f", HUGE_VALF); - EXPECT_STREQ("Inf", buf); + EXPECT_STRCASEEQ("Inf", buf); } TEST(stdio, snprintf_g_special) { char buf[BUFSIZ]; snprintf(buf, sizeof(buf), "%g", nan("")); - EXPECT_STREQ("NaN", buf); + EXPECT_STRCASEEQ("NaN", buf); snprintf(buf, sizeof(buf), "%g", HUGE_VAL); - EXPECT_STREQ("Inf", buf); + EXPECT_STRCASEEQ("Inf", buf); } TEST(stdio, snprintf_d_INT_MAX) { @@ -365,6 +365,16 @@ TEST(stdio, snprintf_lld_LLONG_MIN) { EXPECT_STREQ("-9223372036854775808", buf); } +TEST(stdio, snprintf_e) { + char buf[BUFSIZ]; + + snprintf(buf, sizeof(buf), "%e", 1.5); + EXPECT_STREQ("1.500000e+00", buf); + + snprintf(buf, sizeof(buf), "%Le", 1.5l); + EXPECT_STREQ("1.500000e+00", buf); +} + TEST(stdio, popen) { FILE* fp = popen("cat /proc/version", "r"); ASSERT_TRUE(fp != NULL);