From 41eee7406b0f048392168515b09e7d8bdd000624 Mon Sep 17 00:00:00 2001
From: lijunlong <lijunlong@openresty.com>
Date: Wed, 22 Feb 2023 21:34:30 +0800
Subject: Add updated netlib dtoa.c from https://netlib.sandia.gov/fp/dtoa.c
Co-authored-by: Jesper Lundgren <jesperlundgren@exosite.com>
---
.travis.yml | 10 +-
CMakeLists.txt | 2 +-
dtoa.c | 2903 +++++++++++++++++++++++++++++++++++++++++++++-----------
dtoa_config.h | 6 +-
fpconv.h | 12 +-
runtests.sh | 10 +
6 files changed, 2409 insertions(+), 534 deletions(-)
diff --git a/.travis.yml b/.travis.yml
index 91f73ff..091ff98 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,5 +1,5 @@
sudo: required
-dist: trusty
+dist: Focal
os: linux
@@ -17,6 +17,7 @@ addons:
- libipc-run3-perl
- lua5.1
- lua5.1-dev
+ - cmake
cache:
apt: true
@@ -30,6 +31,7 @@ env:
- LUAJIT=1 LUA_DIR=/usr/local LUA_INCLUDE_DIR=$LUA_DIR/include/luajit-2.1 LUA_SUFFIX=--lua-suffix=jit
install:
+ - sudo ln -s /usr/bin/cmake /usr/local/bin/cmake
- if [ -n "$LUAJIT" ]; then git clone -b v2.1-agentzh https://github.com/openresty/luajit2.git; fi
- if [ -n "$LUAJIT" ]; then cd ./luajit2; fi
- if [ -n "$LUAJIT" ]; then make -j$JOBS CCDEBUG=-g Q= PREFIX=$LUAJIT_PREFIX CC=$CC XCFLAGS='-DLUA_USE_APICHECK -DLUA_USE_ASSERT' > build.log 2>&1 || (cat build.log && exit 1); fi
@@ -53,3 +55,9 @@ script:
- TEST_LUA_USE_VALGRIND=1 prove -Itests tests > build.log 2>&1; export e=$?
- cat build.log
- grep -E '^==[0-9]+==' build.log; if [ "$?" == 0 ]; then exit 1; else exit $e; fi
+ - cmake -DUSE_INTERNAL_FPCONV=1 .
+ - make
+ - prove -Itests tests
+ - TEST_LUA_USE_VALGRIND=1 prove -Itests tests > build.log 2>&1; export e=$?
+ - cat build.log
+ - grep -E '^==[0-9]+==' build.log; if [ "$?" == 0 ]; then exit 1; else exit $e; fi
diff --git a/CMakeLists.txt b/CMakeLists.txt
index c1d670d..f7eaf89 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -4,7 +4,7 @@
# Windows: set LUA_DIR=c:\lua51
project(lua-cjson C)
-cmake_minimum_required(VERSION 2.6)
+cmake_minimum_required(VERSION 2.8.12)
option(USE_INTERNAL_FPCONV "Use internal strtod() / g_fmt() code for performance")
option(MULTIPLE_THREADS "Support multi-threaded apps with internal fpconv - recommended" ON)
diff --git a/dtoa.c b/dtoa.c
index 4067e5b..8dac7b8 100644
--- a/dtoa.c
+++ b/dtoa.c
@@ -32,6 +32,7 @@
*/
/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
+ * (Note that IEEE arithmetic is disabled by gcc's -ffast-math flag.)
*
* This strtod returns a nearest machine number to the input decimal
* string (or sets errno to ERANGE). With IEEE arithmetic, ties are
@@ -102,7 +103,6 @@
* 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.
@@ -152,6 +152,25 @@
* 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.
+
+ * When MULTIPLE_THREADS is #defined, this source file provides
+ * void set_max_dtoa_threads(unsigned int n);
+ * and expects
+ * unsigned int dtoa_get_threadno(void);
+ * to be available (possibly provided by
+ * #define dtoa_get_threadno omp_get_thread_num
+ * if OpenMP is in use or by
+ * #define dtoa_get_threadno pthread_self
+ * if Pthreads is in use), to return the current thread number.
+ * If set_max_dtoa_threads(n) was called and the current thread
+ * number is k with k < n, then calls on ACQUIRE_DTOA_LOCK(...) and
+ * FREE_DTOA_LOCK(...) are avoided; instead each thread with thread
+ * number < n has a separate copy of relevant data structures.
+ * After set_max_dtoa_threads(n), a call set_max_dtoa_threads(m)
+ * with m <= n has has no effect, but a call with m > n is honored.
+ * Such a call invokes REALLOC (assumed to be "realloc" if REALLOC
+ * is not #defined) to extend the size of the relevant array.
+
* #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that
* avoids underflows on inputs whose result does not underflow.
* If you #define NO_IEEE_Scale on a machine that uses IEEE-format
@@ -175,6 +194,11 @@
* inexact or when it is a numeric value rounded to +-infinity).
* #define NO_ERRNO if strtod should not assign errno = ERANGE when
* the result overflows to +-Infinity or underflows to 0.
+ * When errno should be assigned, under seemingly rare conditions
+ * it may be necessary to define Set_errno(x) suitably, e.g., in
+ * a local errno.h, such as
+ * #include <errno.h>
+ * #define Set_errno(x) _set_errno(x)
* #define NO_HEX_FP to omit recognition of hexadecimal floating-point
* values by strtod.
* #define NO_STRTOD_BIGCOMP (on IEEE-arithmetic systems only for now)
@@ -188,15 +212,21 @@
#include "dtoa_config.h"
#ifndef Long
-#define Long long
+#define Long int
#endif
#ifndef ULong
typedef unsigned Long ULong;
#endif
#ifdef DEBUG
+#include <assert.h>
#include "stdio.h"
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
+#define Debug(x) x
+int dtoa_stats[7]; /* strtod_{64,96,bigcomp},dtoa_{exact,64,96,bigcomp} */
+#else
+#define assert(x) /*nothing*/
+#define Debug(x) /*nothing*/
#endif
#include "stdlib.h"
@@ -212,16 +242,29 @@ typedef unsigned Long ULong;
#endif
#endif
+#ifdef __cplusplus
+extern "C" {
+#endif
#ifdef MALLOC
-#ifdef KR_headers
-extern char *MALLOC();
-#else
extern void *MALLOC(size_t);
-#endif
#else
#define MALLOC malloc
#endif
+#ifdef REALLOC
+extern void *REALLOC(void*,size_t);
+#else
+#define REALLOC realloc
+#endif
+
+#ifndef FREE
+#define FREE free
+#endif
+
+#ifdef __cplusplus
+ }
+#endif
+
#ifndef Omit_Private_Memory
#ifndef PRIVATE_MEM
#define PRIVATE_MEM 2304
@@ -251,6 +294,15 @@ static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
#include "errno.h"
+#ifdef NO_ERRNO /*{*/
+#undef Set_errno
+#define Set_errno(x)
+#else
+#ifndef Set_errno
+#define Set_errno(x) errno = x
+#endif
+#endif /*}*/
+
#ifdef Bad_float_h
#ifdef IEEE_Arith
@@ -292,19 +344,966 @@ static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
extern "C" {
#endif
-#ifndef CONST
-#ifdef KR_headers
-#define CONST /* blank */
-#else
-#define CONST const
-#endif
-#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;
+#undef USE_BF96
+
+#ifdef NO_LONG_LONG /*{{*/
+#undef ULLong
+#ifdef Just_16
+#undef Pack_32
+/* 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
+#ifndef NO_BF96 /*{*/
+#define USE_BF96
+
+#ifdef SET_INEXACT
+#define dtoa_divmax 27
+#else
+int dtoa_divmax = 2; /* Permit experimenting: on some systems, 64-bit integer */
+ /* division is slow enough that we may sometimes want to */
+ /* avoid using it. We assume (but do not check) that */
+ /* dtoa_divmax <= 27.*/
+#endif
+
+typedef struct BF96 { /* Normalized 96-bit software floating point numbers */
+ unsigned int b0,b1,b2; /* b0 = most significant, binary point just to its left */
+ int e; /* number represented = b * 2^e, with .5 <= b < 1 */
+ } BF96;
+
+ static BF96 pten[667] = {
+ { 0xeef453d6, 0x923bd65a, 0x113faa29, -1136 },
+ { 0x9558b466, 0x1b6565f8, 0x4ac7ca59, -1132 },
+ { 0xbaaee17f, 0xa23ebf76, 0x5d79bcf0, -1129 },
+ { 0xe95a99df, 0x8ace6f53, 0xf4d82c2c, -1126 },
+ { 0x91d8a02b, 0xb6c10594, 0x79071b9b, -1122 },
+ { 0xb64ec836, 0xa47146f9, 0x9748e282, -1119 },
+ { 0xe3e27a44, 0x4d8d98b7, 0xfd1b1b23, -1116 },
+ { 0x8e6d8c6a, 0xb0787f72, 0xfe30f0f5, -1112 },
+ { 0xb208ef85, 0x5c969f4f, 0xbdbd2d33, -1109 },
+ { 0xde8b2b66, 0xb3bc4723, 0xad2c7880, -1106 },
+ { 0x8b16fb20, 0x3055ac76, 0x4c3bcb50, -1102 },
+ { 0xaddcb9e8, 0x3c6b1793, 0xdf4abe24, -1099 },
+ { 0xd953e862, 0x4b85dd78, 0xd71d6dad, -1096 },
+ { 0x87d4713d, 0x6f33aa6b, 0x8672648c, -1092 },
+ { 0xa9c98d8c, 0xcb009506, 0x680efdaf, -1089 },
+ { 0xd43bf0ef, 0xfdc0ba48, 0x0212bd1b, -1086 },
+ { 0x84a57695, 0xfe98746d, 0x014bb630, -1082 },
+ { 0xa5ced43b, 0x7e3e9188, 0x419ea3bd, -1079 },
+ { 0xcf42894a, 0x5dce35ea, 0x52064cac, -1076 },
+ { 0x818995ce, 0x7aa0e1b2, 0x7343efeb, -1072 },
+ { 0xa1ebfb42, 0x19491a1f, 0x1014ebe6, -1069 },
+ { 0xca66fa12, 0x9f9b60a6, 0xd41a26e0, -1066 },
+ { 0xfd00b897, 0x478238d0, 0x8920b098, -1063 },
+ { 0x9e20735e, 0x8cb16382, 0x55b46e5f, -1059 },
+ { 0xc5a89036, 0x2fddbc62, 0xeb2189f7, -1056 },
+ { 0xf712b443, 0xbbd52b7b, 0xa5e9ec75, -1053 },
+ { 0x9a6bb0aa, 0x55653b2d, 0x47b233c9, -1049 },
+ { 0xc1069cd4, 0xeabe89f8, 0x999ec0bb, -1046 },
+ { 0xf148440a, 0x256e2c76, 0xc00670ea, -1043 },
+ { 0x96cd2a86, 0x5764dbca, 0x38040692, -1039 },
+ { 0xbc807527, 0xed3e12bc, 0xc6050837, -1036 },
+ { 0xeba09271, 0xe88d976b, 0xf7864a44, -1033 },
+ { 0x93445b87, 0x31587ea3, 0x7ab3ee6a, -1029 },
+ { 0xb8157268, 0xfdae9e4c, 0x5960ea05, -1026 },
+ { 0xe61acf03, 0x3d1a45df, 0x6fb92487, -1023 },
+ { 0x8fd0c162, 0x06306bab, 0xa5d3b6d4, -1019 },
+ { 0xb3c4f1ba, 0x87bc8696, 0x8f48a489, -1016 },
+ { 0xe0b62e29, 0x29aba83c, 0x331acdab, -1013 },
+ { 0x8c71dcd9, 0xba0b4925, 0x9ff0c08b, -1009 },
+ { 0xaf8e5410, 0x288e1b6f, 0x07ecf0ae, -1006 },
+ { 0xdb71e914, 0x32b1a24a, 0xc9e82cd9, -1003 },
+ { 0x892731ac, 0x9faf056e, 0xbe311c08, -999 },
+ { 0xab70fe17, 0xc79ac6ca, 0x6dbd630a, -996 },
+ { 0xd64d3d9d, 0xb981787d, 0x092cbbcc, -993 },
+ { 0x85f04682, 0x93f0eb4e, 0x25bbf560, -989 },
+ { 0xa76c5823, 0x38ed2621, 0xaf2af2b8, -986 },
+ { 0xd1476e2c, 0x07286faa, 0x1af5af66, -983 },
+ { 0x82cca4db, 0x847945ca, 0x50d98d9f, -979 },
+ { 0xa37fce12, 0x6597973c, 0xe50ff107, -976 },
+ { 0xcc5fc196, 0xfefd7d0c, 0x1e53ed49, -973 },
+ { 0xff77b1fc, 0xbebcdc4f, 0x25e8e89c, -970 },
+ { 0x9faacf3d, 0xf73609b1, 0x77b19161, -966 },
+ { 0xc795830d, 0x75038c1d, 0xd59df5b9, -963 },
+ { 0xf97ae3d0, 0xd2446f25, 0x4b057328, -960 },
+ { 0x9becce62, 0x836ac577, 0x4ee367f9, -956 },
+ { 0xc2e801fb, 0x244576d5, 0x229c41f7, -953 },
+ { 0xf3a20279, 0xed56d48a, 0x6b435275, -950 },
+ { 0x9845418c, 0x345644d6, 0x830a1389, -946 },
+ { 0xbe5691ef, 0x416bd60c, 0x23cc986b, -943 },
+ { 0xedec366b, 0x11c6cb8f, 0x2cbfbe86, -940 },
+ { 0x94b3a202, 0xeb1c3f39, 0x7bf7d714, -936 },
+ { 0xb9e08a83, 0xa5e34f07, 0xdaf5ccd9, -933 },
+ { 0xe858ad24, 0x8f5c22c9, 0xd1b3400f, -930 },
+ { 0x91376c36, 0xd99995be, 0x23100809, -926 },
+ { 0xb5854744, 0x8ffffb2d, 0xabd40a0c, -923 },
+ { 0xe2e69915, 0xb3fff9f9, 0x16c90c8f, -920 },
+ { 0x8dd01fad, 0x907ffc3b, 0xae3da7d9, -916 },
+ { 0xb1442798, 0xf49ffb4a, 0x99cd11cf, -913 },
+ { 0xdd95317f, 0x31c7fa1d, 0x40405643, -910 },
+ { 0x8a7d3eef, 0x7f1cfc52, 0x482835ea, -906 },
+ { 0xad1c8eab, 0x5ee43b66, 0xda324365, -903 },
+ { 0xd863b256, 0x369d4a40, 0x90bed43e, -900 },
+ { 0x873e4f75, 0xe2224e68, 0x5a7744a6, -896 },
+ { 0xa90de353, 0x5aaae202, 0x711515d0, -893 },
+ { 0xd3515c28, 0x31559a83, 0x0d5a5b44, -890 },
+ { 0x8412d999, 0x1ed58091, 0xe858790a, -886 },
+ { 0xa5178fff, 0x668ae0b6, 0x626e974d, -883 },
+ { 0xce5d73ff, 0x402d98e3, 0xfb0a3d21, -880 },
+ { 0x80fa687f, 0x881c7f8e, 0x7ce66634, -876 },
+ { 0xa139029f, 0x6a239f72, 0x1c1fffc1, -873 },
+ { 0xc9874347, 0x44ac874e, 0xa327ffb2, -870 },
+ { 0xfbe91419, 0x15d7a922, 0x4bf1ff9f, -867 },
+ { 0x9d71ac8f, 0xada6c9b5, 0x6f773fc3, -863 },
+ { 0xc4ce17b3, 0x99107c22, 0xcb550fb4, -860 },
+ { 0xf6019da0, 0x7f549b2b, 0x7e2a53a1, -857 },
+ { 0x99c10284, 0x4f94e0fb, 0x2eda7444, -853 },
+ { 0xc0314325, 0x637a1939, 0xfa911155, -850 },
+ { 0xf03d93ee, 0xbc589f88, 0x793555ab, -847 },
+ { 0x96267c75, 0x35b763b5, 0x4bc1558b, -843 },
+ { 0xbbb01b92, 0x83253ca2, 0x9eb1aaed, -840 },
+ { 0xea9c2277, 0x23ee8bcb, 0x465e15a9, -837 },
+ { 0x92a1958a, 0x7675175f, 0x0bfacd89, -833 },
+ { 0xb749faed, 0x14125d36, 0xcef980ec, -830 },
+ { 0xe51c79a8, 0x5916f484, 0x82b7e127, -827 },
+ { 0x8f31cc09, 0x37ae58d2, 0xd1b2ecb8, -823 },
+ { 0xb2fe3f0b, 0x8599ef07, 0x861fa7e6, -820 },
+ { 0xdfbdcece, 0x67006ac9, 0x67a791e0, -817 },
+ { 0x8bd6a141, 0x006042bd, 0xe0c8bb2c, -813 },
+ { 0xaecc4991, 0x4078536d, 0x58fae9f7, -810 },
+ { 0xda7f5bf5, 0x90966848, 0xaf39a475, -807 },
+ { 0x888f9979, 0x7a5e012d, 0x6d8406c9, -803 },
+ { 0xaab37fd7, 0xd8f58178, 0xc8e5087b, -800 },
+ { 0xd5605fcd, 0xcf32e1d6, 0xfb1e4a9a, -797 },
+ { 0x855c3be0, 0xa17fcd26, 0x5cf2eea0, -793 },
+ { 0xa6b34ad8, 0xc9dfc06f, 0xf42faa48, -790 },
+ { 0xd0601d8e, 0xfc57b08b, 0xf13b94da, -787 },
+ { 0x823c1279, 0x5db6ce57, 0x76c53d08, -783 },
+ { 0xa2cb1717, 0xb52481ed, 0x54768c4b, -780 },
+ { 0xcb7ddcdd, 0xa26da268, 0xa9942f5d, -777 },
+ { 0xfe5d5415, 0x0b090b02, 0xd3f93b35, -774 },
+ { 0x9efa548d, 0x26e5a6e1, 0xc47bc501, -770 },
+ { 0xc6b8e9b0, 0x709f109a, 0x359ab641, -767 },
+ { 0xf867241c, 0x8cc6d4c0, 0xc30163d2, -764 },
+ { 0x9b407691, 0xd7fc44f8, 0x79e0de63, -760 },
+ { 0xc2109436, 0x4dfb5636, 0x985915fc, -757 },
+ { 0xf294b943, 0xe17a2bc4, 0x3e6f5b7b, -754 },
+ { 0x979cf3ca, 0x6cec5b5a, 0xa705992c, -750 },
+ { 0xbd8430bd, 0x08277231, 0x50c6ff78, -747 },
+ { 0xece53cec, 0x4a314ebd, 0xa4f8bf56, -744 },
+ { 0x940f4613, 0xae5ed136, 0x871b7795, -740 },
+ { 0xb9131798, 0x99f68584, 0x28e2557b, -737 },
+ { 0xe757dd7e, 0xc07426e5, 0x331aeada, -734 },
+ { 0x9096ea6f, 0x3848984f, 0x3ff0d2c8, -730 },
+ { 0xb4bca50b, 0x065abe63, 0x0fed077a, -727 },
+ { 0xe1ebce4d, 0xc7f16dfb, 0xd3e84959, -724 },
+ { 0x8d3360f0, 0x9cf6e4bd, 0x64712dd7, -720 },
+ { 0xb080392c, 0xc4349dec, 0xbd8d794d, -717 },
+ { 0xdca04777, 0xf541c567, 0xecf0d7a0, -714 },
+ { 0x89e42caa, 0xf9491b60, 0xf41686c4, -710 },
+ { 0xac5d37d5, 0xb79b6239, 0x311c2875, -707 },
+ { 0xd77485cb, 0x25823ac7, 0x7d633293, -704 },
+ { 0x86a8d39e, 0xf77164bc, 0xae5dff9c, -700 },
+ { 0xa8530886, 0xb54dbdeb, 0xd9f57f83, -697 },
+ { 0xd267caa8, 0x62a12d66, 0xd072df63, -694 },
+ { 0x8380dea9, 0x3da4bc60, 0x4247cb9e, -690 },
+ { 0xa4611653, 0x8d0deb78, 0x52d9be85, -687 },
+ { 0xcd795be8, 0x70516656, 0x67902e27, -684 },
+ { 0x806bd971, 0x4632dff6, 0x00ba1cd8, -680 },
+ { 0xa086cfcd, 0x97bf97f3, 0x80e8a40e, -677 },
+ { 0xc8a883c0, 0xfdaf7df0, 0x6122cd12, -674 },
+ { 0xfad2a4b1, 0x3d1b5d6c, 0x796b8057, -671 },
+ { 0x9cc3a6ee, 0xc6311a63, 0xcbe33036, -667 },
+ { 0xc3f490aa, 0x77bd60fc, 0xbedbfc44, -664 },
+ { 0xf4f1b4d5, 0x15acb93b, 0xee92fb55, -661 },
+ { 0x99171105, 0x2d8bf3c5, 0x751bdd15, -657 },
+ { 0xbf5cd546, 0x78eef0b6, 0xd262d45a, -654 },
+ { 0xef340a98, 0x172aace4, 0x86fb8971, -651 },
+ { 0x9580869f, 0x0e7aac0e, 0xd45d35e6, -647 },
+ { 0xbae0a846, 0xd2195712, 0x89748360, -644 },
+ { 0xe998d258, 0x869facd7, 0x2bd1a438, -641 },
+ { 0x91ff8377, 0x5423cc06, 0x7b6306a3, -637 },
+ { 0xb67f6455, 0x292cbf08, 0x1a3bc84c, -634 },
+ { 0xe41f3d6a, 0x7377eeca, 0x20caba5f, -631 },
+ { 0x8e938662, 0x882af53e, 0x547eb47b, -627 },
+ { 0xb23867fb, 0x2a35b28d, 0xe99e619a, -624 },
+ { 0xdec681f9, 0xf4c31f31, 0x6405fa00, -621 },
+ { 0x8b3c113c, 0x38f9f37e, 0xde83bc40, -617 },
+ { 0xae0b158b, 0x4738705e, 0x9624ab50, -614 },
+ { 0xd98ddaee, 0x19068c76, 0x3badd624, -611 },
+ { 0x87f8a8d4, 0xcfa417c9, 0xe54ca5d7, -607 },
+ { 0xa9f6d30a, 0x038d1dbc, 0x5e9fcf4c, -604 },
+ { 0xd47487cc, 0x8470652b, 0x7647c320, -601 },
+ { 0x84c8d4df, 0xd2c63f3b, 0x29ecd9f4, -597 },
+ { 0xa5fb0a17, 0xc777cf09, 0xf4681071, -594 },
+ { 0xcf79cc9d, 0xb955c2cc, 0x7182148d, -591 },
+ { 0x81ac1fe2, 0x93d599bf, 0xc6f14cd8, -587 },
+ { 0xa21727db, 0x38cb002f, 0xb8ada00e, -584 },
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+ { 0xc7caba6e, 0x7c5382c8, 0xfe64a52e, -478 },
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+ { 0xbe895233, 0x86091465, 0xf6bbb397, -458 },
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+ { 0xe3231912, 0xd5bf60e6, 0x10e1fff6, -435 },
+ { 0x8df5efab, 0xc5979c8f, 0xca8d3ffa, -431 },
+ { 0xb1736b96, 0xb6fd83b3, 0xbd308ff8, -428 },
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+ { 0x811ccc66, 0x8829b887, 0x0806357d, -391 },
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+ { 0x964e858c, 0x91ba2655, 0x3a6a07f8, -358 },
+ { 0xbbe226ef, 0xb628afea, 0x890489f7, -355 },
+ { 0xeadab0ab, 0xa3b2dbe5, 0x2b45ac74, -352 },
+ { 0x92c8ae6b, 0x464fc96f, 0x3b0b8bc9, -348 },
+ { 0xb77ada06, 0x17e3bbcb, 0x09ce6ebb, -345 },
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+ { 0xdab99e59, 0x958885c4, 0xe95fab36, -322 },
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+ { 0xac8b2d36, 0xeed2dac5, 0xe272467e, -222 },
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+ { 0xa48ceaaa, 0xb75a8e2b, 0x5fa8c342, -202 },
+ { 0xcdb02555, 0x653131b6, 0x3792f412, -199 },
+ { 0x808e1755, 0x5f3ebf11, 0xe2bbd88b, -195 },
+ { 0xa0b19d2a, 0xb70e6ed6, 0x5b6aceae, -192 },
+ { 0xc8de0475, 0x64d20a8b, 0xf245825a, -189 },
+ { 0xfb158592, 0xbe068d2e, 0xeed6e2f0, -186 },
+ { 0x9ced737b, 0xb6c4183d, 0x55464dd6, -182 },
+ { 0xc428d05a, 0xa4751e4c, 0xaa97e14c, -179 },
+ { 0xf5330471, 0x4d9265df, 0xd53dd99f, -176 },
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+ { 0xef73d256, 0xa5c0f77c, 0x963e6685, -166 },
+ { 0x95a86376, 0x27989aad, 0xdde70013, -162 },
+ { 0xbb127c53, 0xb17ec159, 0x5560c018, -159 },
+ { 0xe9d71b68, 0x9dde71af, 0xaab8f01e, -156 },
+ { 0x92267121, 0x62ab070d, 0xcab39613, -152 },
+ { 0xb6b00d69, 0xbb55c8d1, 0x3d607b97, -149 },
+ { 0xe45c10c4, 0x2a2b3b05, 0x8cb89a7d, -146 },
+ { 0x8eb98a7a, 0x9a5b04e3, 0x77f3608e, -142 },
+ { 0xb267ed19, 0x40f1c61c, 0x55f038b2, -139 },
+ { 0xdf01e85f, 0x912e37a3, 0x6b6c46de, -136 },
+ { 0x8b61313b, 0xbabce2c6, 0x2323ac4b, -132 },
+ { 0xae397d8a, 0xa96c1b77, 0xabec975e, -129 },
+ { 0xd9c7dced, 0x53c72255, 0x96e7bd35, -126 },
+ { 0x881cea14, 0x545c7575, 0x7e50d641, -122 },
+ { 0xaa242499, 0x697392d2, 0xdde50bd1, -119 },
+ { 0xd4ad2dbf, 0xc3d07787, 0x955e4ec6, -116 },
+ { 0x84ec3c97, 0xda624ab4, 0xbd5af13b, -112 },
+ { 0xa6274bbd, 0xd0fadd61, 0xecb1ad8a, -109 },
+ { 0xcfb11ead, 0x453994ba, 0x67de18ed, -106 },
+ { 0x81ceb32c, 0x4b43fcf4, 0x80eacf94, -102 },
+ { 0xa2425ff7, 0x5e14fc31, 0xa1258379, -99 },
+ { 0xcad2f7f5, 0x359a3b3e, 0x096ee458, -96 },
+ { 0xfd87b5f2, 0x8300ca0d, 0x8bca9d6e, -93 },
+ { 0x9e74d1b7, 0x91e07e48, 0x775ea264, -89 },
+ { 0xc6120625, 0x76589dda, 0x95364afe, -86 },
+ { 0xf79687ae, 0xd3eec551, 0x3a83ddbd, -83 },
+ { 0x9abe14cd, 0x44753b52, 0xc4926a96, -79 },
+ { 0xc16d9a00, 0x95928a27, 0x75b7053c, -76 },
+ { 0xf1c90080, 0xbaf72cb1, 0x5324c68b, -73 },
+ { 0x971da050, 0x74da7bee, 0xd3f6fc16, -69 },
+ { 0xbce50864, 0x92111aea, 0x88f4bb1c, -66 },
+ { 0xec1e4a7d, 0xb69561a5, 0x2b31e9e3, -63 },
+ { 0x9392ee8e, 0x921d5d07, 0x3aff322e, -59 },
+ { 0xb877aa32, 0x36a4b449, 0x09befeb9, -56 },
+ { 0xe69594be, 0xc44de15b, 0x4c2ebe68, -53 },
+ { 0x901d7cf7, 0x3ab0acd9, 0x0f9d3701, -49 },
+ { 0xb424dc35, 0x095cd80f, 0x538484c1, -46 },
+ { 0xe12e1342, 0x4bb40e13, 0x2865a5f2, -43 },
+ { 0x8cbccc09, 0x6f5088cb, 0xf93f87b7, -39 },
+ { 0xafebff0b, 0xcb24aafe, 0xf78f69a5, -36 },
+ { 0xdbe6fece, 0xbdedd5be, 0xb573440e, -33 },
+ { 0x89705f41, 0x36b4a597, 0x31680a88, -29 },
+ { 0xabcc7711, 0x8461cefc, 0xfdc20d2b, -26 },
+ { 0xd6bf94d5, 0xe57a42bc, 0x3d329076, -23 },
+ { 0x8637bd05, 0xaf6c69b5, 0xa63f9a49, -19 },
+ { 0xa7c5ac47, 0x1b478423, 0x0fcf80dc, -16 },
+ { 0xd1b71758, 0xe219652b, 0xd3c36113, -13 },
+ { 0x83126e97, 0x8d4fdf3b, 0x645a1cac, -9 },
+ { 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, -6 },
+ { 0xcccccccc, 0xcccccccc, 0xcccccccc, -3 },
+ { 0x80000000, 0x00000000, 0x00000000, 1 },
+ { 0xa0000000, 0x00000000, 0x00000000, 4 },
+ { 0xc8000000, 0x00000000, 0x00000000, 7 },
+ { 0xfa000000, 0x00000000, 0x00000000, 10 },
+ { 0x9c400000, 0x00000000, 0x00000000, 14 },
+ { 0xc3500000, 0x00000000, 0x00000000, 17 },
+ { 0xf4240000, 0x00000000, 0x00000000, 20 },
+ { 0x98968000, 0x00000000, 0x00000000, 24 },
+ { 0xbebc2000, 0x00000000, 0x00000000, 27 },
+ { 0xee6b2800, 0x00000000, 0x00000000, 30 },
+ { 0x9502f900, 0x00000000, 0x00000000, 34 },
+ { 0xba43b740, 0x00000000, 0x00000000, 37 },
+ { 0xe8d4a510, 0x00000000, 0x00000000, 40 },
+ { 0x9184e72a, 0x00000000, 0x00000000, 44 },
+ { 0xb5e620f4, 0x80000000, 0x00000000, 47 },
+ { 0xe35fa931, 0xa0000000, 0x00000000, 50 },
+ { 0x8e1bc9bf, 0x04000000, 0x00000000, 54 },
+ { 0xb1a2bc2e, 0xc5000000, 0x00000000, 57 },
+ { 0xde0b6b3a, 0x76400000, 0x00000000, 60 },
+ { 0x8ac72304, 0x89e80000, 0x00000000, 64 },
+ { 0xad78ebc5, 0xac620000, 0x00000000, 67 },
+ { 0xd8d726b7, 0x177a8000, 0x00000000, 70 },
+ { 0x87867832, 0x6eac9000, 0x00000000, 74 },
+ { 0xa968163f, 0x0a57b400, 0x00000000, 77 },
+ { 0xd3c21bce, 0xcceda100, 0x00000000, 80 },
+ { 0x84595161, 0x401484a0, 0x00000000, 84 },
+ { 0xa56fa5b9, 0x9019a5c8, 0x00000000, 87 },
+ { 0xcecb8f27, 0xf4200f3a, 0x00000000, 90 },
+ { 0x813f3978, 0xf8940984, 0x40000000, 94 },
+ { 0xa18f07d7, 0x36b90be5, 0x50000000, 97 },
+ { 0xc9f2c9cd, 0x04674ede, 0xa4000000, 100 },
+ { 0xfc6f7c40, 0x45812296, 0x4d000000, 103 },
+ { 0x9dc5ada8, 0x2b70b59d, 0xf0200000, 107 },
+ { 0xc5371912, 0x364ce305, 0x6c280000, 110 },
+ { 0xf684df56, 0xc3e01bc6, 0xc7320000, 113 },
+ { 0x9a130b96, 0x3a6c115c, 0x3c7f4000, 117 },
+ { 0xc097ce7b, 0xc90715b3, 0x4b9f1000, 120 },
+ { 0xf0bdc21a, 0xbb48db20, 0x1e86d400, 123 },
+ { 0x96769950, 0xb50d88f4, 0x13144480, 127 },
+ { 0xbc143fa4, 0xe250eb31, 0x17d955a0, 130 },
+ { 0xeb194f8e, 0x1ae525fd, 0x5dcfab08, 133 },
+ { 0x92efd1b8, 0xd0cf37be, 0x5aa1cae5, 137 },
+ { 0xb7abc627, 0x050305ad, 0xf14a3d9e, 140 },
+ { 0xe596b7b0, 0xc643c719, 0x6d9ccd05, 143 },
+ { 0x8f7e32ce, 0x7bea5c6f, 0xe4820023, 147 },
+ { 0xb35dbf82, 0x1ae4f38b, 0xdda2802c, 150 },
+ { 0xe0352f62, 0xa19e306e, 0xd50b2037, 153 },
+ { 0x8c213d9d, 0xa502de45, 0x4526f422, 157 },
+ { 0xaf298d05, 0x0e4395d6, 0x9670b12b, 160 },
+ { 0xdaf3f046, 0x51d47b4c, 0x3c0cdd76, 163 },
+ { 0x88d8762b, 0xf324cd0f, 0xa5880a69, 167 },
+ { 0xab0e93b6, 0xefee0053, 0x8eea0d04, 170 },
+ { 0xd5d238a4, 0xabe98068, 0x72a49045, 173 },
+ { 0x85a36366, 0xeb71f041, 0x47a6da2b, 177 },
+ { 0xa70c3c40, 0xa64e6c51, 0x999090b6, 180 },
+ { 0xd0cf4b50, 0xcfe20765, 0xfff4b4e3, 183 },
+ { 0x82818f12, 0x81ed449f, 0xbff8f10e, 187 },
+ { 0xa321f2d7, 0x226895c7, 0xaff72d52, 190 },
+ { 0xcbea6f8c, 0xeb02bb39, 0x9bf4f8a6, 193 },
+ { 0xfee50b70, 0x25c36a08, 0x02f236d0, 196 },
+ { 0x9f4f2726, 0x179a2245, 0x01d76242, 200 },
+ { 0xc722f0ef, 0x9d80aad6, 0x424d3ad2, 203 },
+ { 0xf8ebad2b, 0x84e0d58b, 0xd2e08987, 206 },
+ { 0x9b934c3b, 0x330c8577, 0x63cc55f4, 210 },
+ { 0xc2781f49, 0xffcfa6d5, 0x3cbf6b71, 213 },
+ { 0xf316271c, 0x7fc3908a, 0x8bef464e, 216 },
+ { 0x97edd871, 0xcfda3a56, 0x97758bf0, 220 },
+ { 0xbde94e8e, 0x43d0c8ec, 0x3d52eeed, 223 },
+ { 0xed63a231, 0xd4c4fb27, 0x4ca7aaa8, 226 },
+ { 0x945e455f, 0x24fb1cf8, 0x8fe8caa9, 230 },
+ { 0xb975d6b6, 0xee39e436, 0xb3e2fd53, 233 },
+ { 0xe7d34c64, 0xa9c85d44, 0x60dbbca8, 236 },
+ { 0x90e40fbe, 0xea1d3a4a, 0xbc8955e9, 240 },
+ { 0xb51d13ae, 0xa4a488dd, 0x6babab63, 243 },
+ { 0xe264589a, 0x4dcdab14, 0xc696963c, 246 },
+ { 0x8d7eb760, 0x70a08aec, 0xfc1e1de5, 250 },
+ { 0xb0de6538, 0x8cc8ada8, 0x3b25a55f, 253 },
+ { 0xdd15fe86, 0xaffad912, 0x49ef0eb7, 256 },
+ { 0x8a2dbf14, 0x2dfcc7ab, 0x6e356932, 260 },
+ { 0xacb92ed9, 0x397bf996, 0x49c2c37f, 263 },
+ { 0xd7e77a8f, 0x87daf7fb, 0xdc33745e, 266 },
+ { 0x86f0ac99, 0xb4e8dafd, 0x69a028bb, 270 },
+ { 0xa8acd7c0, 0x222311bc, 0xc40832ea, 273 },
+ { 0xd2d80db0, 0x2aabd62b, 0xf50a3fa4, 276 },
+ { 0x83c7088e, 0x1aab65db, 0x792667c6, 280 },
+ { 0xa4b8cab1, 0xa1563f52, 0x577001b8, 283 },
+ { 0xcde6fd5e, 0x09abcf26, 0xed4c0226, 286 },
+ { 0x80b05e5a, 0xc60b6178, 0x544f8158, 290 },
+ { 0xa0dc75f1, 0x778e39d6, 0x696361ae, 293 },
+ { 0xc913936d, 0xd571c84c, 0x03bc3a19, 296 },
+ { 0xfb587849, 0x4ace3a5f, 0x04ab48a0, 299 },
+ { 0x9d174b2d, 0xcec0e47b, 0x62eb0d64, 303 },
+ { 0xc45d1df9, 0x42711d9a, 0x3ba5d0bd, 306 },
+ { 0xf5746577, 0x930d6500, 0xca8f44ec, 309 },
+ { 0x9968bf6a, 0xbbe85f20, 0x7e998b13, 313 },
+ { 0xbfc2ef45, 0x6ae276e8, 0x9e3fedd8, 316 },
+ { 0xefb3ab16, 0xc59b14a2, 0xc5cfe94e, 319 },
+ { 0x95d04aee, 0x3b80ece5, 0xbba1f1d1, 323 },
+ { 0xbb445da9, 0xca61281f, 0x2a8a6e45, 326 },
+ { 0xea157514, 0x3cf97226, 0xf52d09d7, 329 },
+ { 0x924d692c, 0xa61be758, 0x593c2626, 333 },
+ { 0xb6e0c377, 0xcfa2e12e, 0x6f8b2fb0, 336 },
+ { 0xe498f455, 0xc38b997a, 0x0b6dfb9c, 339 },
+ { 0x8edf98b5, 0x9a373fec, 0x4724bd41, 343 },
+ { 0xb2977ee3, 0x00c50fe7, 0x58edec91, 346 },
+ { 0xdf3d5e9b, 0xc0f653e1, 0x2f2967b6, 349 },
+ { 0x8b865b21, 0x5899f46c, 0xbd79e0d2, 353 },
+ { 0xae67f1e9, 0xaec07187, 0xecd85906, 356 },
+ { 0xda01ee64, 0x1a708de9, 0xe80e6f48, 359 },
+ { 0x884134fe, 0x908658b2, 0x3109058d, 363 },
+ { 0xaa51823e, 0x34a7eede, 0xbd4b46f0, 366 },
+ { 0xd4e5e2cd, 0xc1d1ea96, 0x6c9e18ac, 369 },
+ { 0x850fadc0, 0x9923329e, 0x03e2cf6b, 373 },
+ { 0xa6539930, 0xbf6bff45, 0x84db8346, 376 },
+ { 0xcfe87f7c, 0xef46ff16, 0xe6126418, 379 },
+ { 0x81f14fae, 0x158c5f6e, 0x4fcb7e8f, 383 },
+ { 0xa26da399, 0x9aef7749, 0xe3be5e33, 386 },
+ { 0xcb090c80, 0x01ab551c, 0x5cadf5bf, 389 },
+ { 0xfdcb4fa0, 0x02162a63, 0x73d9732f, 392 },
+ { 0x9e9f11c4, 0x014dda7e, 0x2867e7fd, 396 },
+ { 0xc646d635, 0x01a1511d, 0xb281e1fd, 399 },
+ { 0xf7d88bc2, 0x4209a565, 0x1f225a7c, 402 },
+ { 0x9ae75759, 0x6946075f, 0x3375788d, 406 },
+ { 0xc1a12d2f, 0xc3978937, 0x0052d6b1, 409 },
+ { 0xf209787b, 0xb47d6b84, 0xc0678c5d, 412 },
+ { 0x9745eb4d, 0x50ce6332, 0xf840b7ba, 416 },
+ { 0xbd176620, 0xa501fbff, 0xb650e5a9, 419 },
+ { 0xec5d3fa8, 0xce427aff, 0xa3e51f13, 422 },
+ { 0x93ba47c9, 0x80e98cdf, 0xc66f336c, 426 },
+ { 0xb8a8d9bb, 0xe123f017, 0xb80b0047, 429 },
+ { 0xe6d3102a, 0xd96cec1d, 0xa60dc059, 432 },
+ { 0x9043ea1a, 0xc7e41392, 0x87c89837, 436 },
+ { 0xb454e4a1, 0x79dd1877, 0x29babe45, 439 },
+ { 0xe16a1dc9, 0xd8545e94, 0xf4296dd6, 442 },
+ { 0x8ce2529e, 0x2734bb1d, 0x1899e4a6, 446 },
+ { 0xb01ae745, 0xb101e9e4, 0x5ec05dcf, 449 },
+ { 0xdc21a117, 0x1d42645d, 0x76707543, 452 },
+ { 0x899504ae, 0x72497eba, 0x6a06494a, 456 },
+ { 0xabfa45da, 0x0edbde69, 0x0487db9d, 459 },
+ { 0xd6f8d750, 0x9292d603, 0x45a9d284, 462 },
+ { 0x865b8692, 0x5b9bc5c2, 0x0b8a2392, 466 },
+ { 0xa7f26836, 0xf282b732, 0x8e6cac77, 469 },
+ { 0xd1ef0244, 0xaf2364ff, 0x3207d795, 472 },
+ { 0x8335616a, 0xed761f1f, 0x7f44e6bd, 476 },
+ { 0xa402b9c5, 0xa8d3a6e7, 0x5f16206c, 479 },
+ { 0xcd036837, 0x130890a1, 0x36dba887, 482 },
+ { 0x80222122, 0x6be55a64, 0xc2494954, 486 },
+ { 0xa02aa96b, 0x06deb0fd, 0xf2db9baa, 489 },
+ { 0xc83553c5, 0xc8965d3d, 0x6f928294, 492 },
+ { 0xfa42a8b7, 0x3abbf48c, 0xcb772339, 495 },
+ { 0x9c69a972, 0x84b578d7, 0xff2a7604, 499 },
+ { 0xc38413cf, 0x25e2d70d, 0xfef51385, 502 },
+ { 0xf46518c2, 0xef5b8cd1, 0x7eb25866, 505 },
+ { 0x98bf2f79, 0xd5993802, 0xef2f773f, 509 },
+ { 0xbeeefb58, 0x4aff8603, 0xaafb550f, 512 },
+ { 0xeeaaba2e, 0x5dbf6784, 0x95ba2a53, 515 },
+ { 0x952ab45c, 0xfa97a0b2, 0xdd945a74, 519 },
+ { 0xba756174, 0x393d88df, 0x94f97111, 522 },
+ { 0xe912b9d1, 0x478ceb17, 0x7a37cd56, 525 },
+ { 0x91abb422, 0xccb812ee, 0xac62e055, 529 },
+ { 0xb616a12b, 0x7fe617aa, 0x577b986b, 532 },
+ { 0xe39c4976, 0x5fdf9d94, 0xed5a7e85, 535 },
+ { 0x8e41ade9, 0xfbebc27d, 0x14588f13, 539 },
+ { 0xb1d21964, 0x7ae6b31c, 0x596eb2d8, 542 },
+ { 0xde469fbd, 0x99a05fe3, 0x6fca5f8e, 545 },
+ { 0x8aec23d6, 0x80043bee, 0x25de7bb9, 549 },
+ { 0xada72ccc, 0x20054ae9, 0xaf561aa7, 552 },
+ { 0xd910f7ff, 0x28069da4, 0x1b2ba151, 555 },
+ { 0x87aa9aff, 0x79042286, 0x90fb44d2, 559 },
+ { 0xa99541bf, 0x57452b28, 0x353a1607, 562 },
+ { 0xd3fa922f, 0x2d1675f2, 0x42889b89, 565 },
+ { 0x847c9b5d, 0x7c2e09b7, 0x69956135, 569 },
+ { 0xa59bc234, 0xdb398c25, 0x43fab983, 572 },
+ { 0xcf02b2c2, 0x1207ef2e, 0x94f967e4, 575 },
+ { 0x8161afb9, 0x4b44f57d, 0x1d1be0ee, 579 },
+ { 0xa1ba1ba7, 0x9e1632dc, 0x6462d92a, 582 },
+ { 0xca28a291, 0x859bbf93, 0x7d7b8f75, 585 },
+ { 0xfcb2cb35, 0xe702af78, 0x5cda7352, 588 },
+ { 0x9defbf01, 0xb061adab, 0x3a088813, 592 },
+ { 0xc56baec2, 0x1c7a1916, 0x088aaa18, 595 },
+ { 0xf6c69a72, 0xa3989f5b, 0x8aad549e, 598 },
+ { 0x9a3c2087, 0xa63f6399, 0x36ac54e2, 602 },
+ { 0xc0cb28a9, 0x8fcf3c7f, 0x84576a1b, 605 },
+ { 0xf0fdf2d3, 0xf3c30b9f, 0x656d44a2, 608 },
+ { 0x969eb7c4, 0x7859e743, 0x9f644ae5, 612 },
+ { 0xbc4665b5, 0x96706114, 0x873d5d9f, 615 },
+ { 0xeb57ff22, 0xfc0c7959, 0xa90cb506, 618 },
+ { 0x9316ff75, 0xdd87cbd8, 0x09a7f124, 622 },
+ { 0xb7dcbf53, 0x54e9bece, 0x0c11ed6d, 625 },
+ { 0xe5d3ef28, 0x2a242e81, 0x8f1668c8, 628 },
+ { 0x8fa47579, 0x1a569d10, 0xf96e017d, 632 },
+ { 0xb38d92d7, 0x60ec4455, 0x37c981dc, 635 },
+ { 0xe070f78d, 0x3927556a, 0x85bbe253, 638 },
+ { 0x8c469ab8, 0x43b89562, 0x93956d74, 642 },
+ { 0xaf584166, 0x54a6babb, 0x387ac8d1, 645 },
+ { 0xdb2e51bf, 0xe9d0696a, 0x06997b05, 648 },
+ { 0x88fcf317, 0xf22241e2, 0x441fece3, 652 },
+ { 0xab3c2fdd, 0xeeaad25a, 0xd527e81c, 655 },
+ { 0xd60b3bd5, 0x6a5586f1, 0x8a71e223, 658 },
+ { 0x85c70565, 0x62757456, 0xf6872d56, 662 },
+ { 0xa738c6be, 0xbb12d16c, 0xb428f8ac, 665 },
+ { 0xd106f86e, 0x69d785c7, 0xe13336d7, 668 },
+ { 0x82a45b45, 0x0226b39c, 0xecc00246, 672 },
+ { 0xa34d7216, 0x42b06084, 0x27f002d7, 675 },
+ { 0xcc20ce9b, 0xd35c78a5, 0x31ec038d, 678 },
+ { 0xff290242, 0xc83396ce, 0x7e670471, 681 },
+ { 0x9f79a169, 0xbd203e41, 0x0f0062c6, 685 },
+ { 0xc75809c4, 0x2c684dd1, 0x52c07b78, 688 },
+ { 0xf92e0c35, 0x37826145, 0xa7709a56, 691 },
+ { 0x9bbcc7a1, 0x42b17ccb, 0x88a66076, 695 },
+ { 0xc2abf989, 0x935ddbfe, 0x6acff893, 698 },
+ { 0xf356f7eb, 0xf83552fe, 0x0583f6b8, 701 },
+ { 0x98165af3, 0x7b2153de, 0xc3727a33, 705 },
+ { 0xbe1bf1b0, 0x59e9a8d6, 0x744f18c0, 708 },
+ { 0xeda2ee1c, 0x7064130c, 0x1162def0, 711 },
+ { 0x9485d4d1, 0xc63e8be7, 0x8addcb56, 715 },
+ { 0xb9a74a06, 0x37ce2ee1, 0x6d953e2b, 718 },
+ { 0xe8111c87, 0xc5c1ba99, 0xc8fa8db6, 721 },
+ { 0x910ab1d4, 0xdb9914a0, 0x1d9c9892, 725 },
+ { 0xb54d5e4a, 0x127f59c8, 0x2503beb6, 728 },
+ { 0xe2a0b5dc, 0x971f303a, 0x2e44ae64, 731 },
+ { 0x8da471a9, 0xde737e24, 0x5ceaecfe, 735 },
+ { 0xb10d8e14, 0x56105dad, 0x7425a83e, 738 },
+ { 0xdd50f199, 0x6b947518, 0xd12f124e, 741 },
+ { 0x8a5296ff, 0xe33cc92f, 0x82bd6b70, 745 },
+ { 0xace73cbf, 0xdc0bfb7b, 0x636cc64d, 748 },
+ { 0xd8210bef, 0xd30efa5a, 0x3c47f7e0, 751 },
+ { 0x8714a775, 0xe3e95c78, 0x65acfaec, 755 },
+ { 0xa8d9d153, 0x5ce3b396, 0x7f1839a7, 758 },
+ { 0xd31045a8, 0x341ca07c, 0x1ede4811, 761 },
+ { 0x83ea2b89, 0x2091e44d, 0x934aed0a, 765 },
+ { 0xa4e4b66b, 0x68b65d60, 0xf81da84d, 768 },
+ { 0xce1de406, 0x42e3f4b9, 0x36251260, 771 },
+ { 0x80d2ae83, 0xe9ce78f3, 0xc1d72b7c, 775 },
+ { 0xa1075a24, 0xe4421730, 0xb24cf65b, 778 },
+ { 0xc94930ae, 0x1d529cfc, 0xdee033f2, 781 },
+ { 0xfb9b7cd9, 0xa4a7443c, 0x169840ef, 784 },
+ { 0x9d412e08, 0x06e88aa5, 0x8e1f2895, 788 },
+ { 0xc491798a, 0x08a2ad4e, 0xf1a6f2ba, 791 },
+ { 0xf5b5d7ec, 0x8acb58a2, 0xae10af69, 794 },
+ { 0x9991a6f3, 0xd6bf1765, 0xacca6da1, 798 },
+ { 0xbff610b0, 0xcc6edd3f, 0x17fd090a, 801 },
+ { 0xeff394dc, 0xff8a948e, 0xddfc4b4c, 804 },
+ { 0x95f83d0a, 0x1fb69cd9, 0x4abdaf10, 808 },
+ { 0xbb764c4c, 0xa7a4440f, 0x9d6d1ad4, 811 },
+ { 0xea53df5f, 0xd18d5513, 0x84c86189, 814 },
+ { 0x92746b9b, 0xe2f8552c, 0x32fd3cf5, 818 },
+ { 0xb7118682, 0xdbb66a77, 0x3fbc8c33, 821 },
+ { 0xe4d5e823, 0x92a40515, 0x0fabaf3f, 824 },
+ { 0x8f05b116, 0x3ba6832d, 0x29cb4d87, 828 },
+ { 0xb2c71d5b, 0xca9023f8, 0x743e20e9, 831 },
+ { 0xdf78e4b2, 0xbd342cf6, 0x914da924, 834 },
+ { 0x8bab8eef, 0xb6409c1a, 0x1ad089b6, 838 },
+ { 0xae9672ab, 0xa3d0c320, 0xa184ac24, 841 },
+ { 0xda3c0f56, 0x8cc4f3e8, 0xc9e5d72d, 844 },
+ { 0x88658996, 0x17fb1871, 0x7e2fa67c, 848 },
+ { 0xaa7eebfb, 0x9df9de8d, 0xddbb901b, 851 },
+ { 0xd51ea6fa, 0x85785631, 0x552a7422, 854 },
+ { 0x8533285c, 0x936b35de, 0xd53a8895, 858 },
+ { 0xa67ff273, 0xb8460356, 0x8a892aba, 861 },
+ { 0xd01fef10, 0xa657842c, 0x2d2b7569, 864 },
+ { 0x8213f56a, 0x67f6b29b, 0x9c3b2962, 868 },
+ { 0xa298f2c5, 0x01f45f42, 0x8349f3ba, 871 },
+ { 0xcb3f2f76, 0x42717713, 0x241c70a9, 874 },
+ { 0xfe0efb53, 0xd30dd4d7, 0xed238cd3, 877 },
+ { 0x9ec95d14, 0x63e8a506, 0xf4363804, 881 },
+ { 0xc67bb459, 0x7ce2ce48, 0xb143c605, 884 },
+ { 0xf81aa16f, 0xdc1b81da, 0xdd94b786, 887 },
+ { 0x9b10a4e5, 0xe9913128, 0xca7cf2b4, 891 },
+ { 0xc1d4ce1f, 0x63f57d72, 0xfd1c2f61, 894 },
+ { 0xf24a01a7, 0x3cf2dccf, 0xbc633b39, 897 },
+ { 0x976e4108, 0x8617ca01, 0xd5be0503, 901 },
+ { 0xbd49d14a, 0xa79dbc82, 0x4b2d8644, 904 },
+ { 0xec9c459d, 0x51852ba2, 0xddf8e7d6, 907 },
+ { 0x93e1ab82, 0x52f33b45, 0xcabb90e5, 911 },
+ { 0xb8da1662, 0xe7b00a17, 0x3d6a751f, 914 },
+ { 0xe7109bfb, 0xa19c0c9d, 0x0cc51267, 917 },
+ { 0x906a617d, 0x450187e2, 0x27fb2b80, 921 },
+ { 0xb484f9dc, 0x9641e9da, 0xb1f9f660, 924 },
+ { 0xe1a63853, 0xbbd26451, 0x5e7873f8, 927 },
+ { 0x8d07e334, 0x55637eb2, 0xdb0b487b, 931 },
+ { 0xb049dc01, 0x6abc5e5f, 0x91ce1a9a, 934 },
+ { 0xdc5c5301, 0xc56b75f7, 0x7641a140, 937 },
+ { 0x89b9b3e1, 0x1b6329ba, 0xa9e904c8, 941 },
+ { 0xac2820d9, 0x623bf429, 0x546345fa, 944 },
+ { 0xd732290f, 0xbacaf133, 0xa97c1779, 947 },
+ { 0x867f59a9, 0xd4bed6c0, 0x49ed8eab, 951 },
+ { 0xa81f3014, 0x49ee8c70, 0x5c68f256, 954 },
+ { 0xd226fc19, 0x5c6a2f8c, 0x73832eec, 957 },
+ { 0x83585d8f, 0xd9c25db7, 0xc831fd53, 961 },
+ { 0xa42e74f3, 0xd032f525, 0xba3e7ca8, 964 },
+ { 0xcd3a1230, 0xc43fb26f, 0x28ce1bd2, 967 },
+ { 0x80444b5e, 0x7aa7cf85, 0x7980d163, 971 },
+ { 0xa0555e36, 0x1951c366, 0xd7e105bc, 974 },
+ { 0xc86ab5c3, 0x9fa63440, 0x8dd9472b, 977 },
+ { 0xfa856334, 0x878fc150, 0xb14f98f6, 980 },
+ { 0x9c935e00, 0xd4b9d8d2, 0x6ed1bf9a, 984 },
+ { 0xc3b83581, 0x09e84f07, 0x0a862f80, 987 },
+ { 0xf4a642e1, 0x4c6262c8, 0xcd27bb61, 990 },
+ { 0x98e7e9cc, 0xcfbd7dbd, 0x8038d51c, 994 },
+ { 0xbf21e440, 0x03acdd2c, 0xe0470a63, 997 },
+ { 0xeeea5d50, 0x04981478, 0x1858ccfc, 1000 },
+ { 0x95527a52, 0x02df0ccb, 0x0f37801e, 1004 },
+ { 0xbaa718e6, 0x8396cffd, 0xd3056025, 1007 },
+ { 0xe950df20, 0x247c83fd, 0x47c6b82e, 1010 },
+ { 0x91d28b74, 0x16cdd27e, 0x4cdc331d, 1014 },
+ { 0xb6472e51, 0x1c81471d, 0xe0133fe4, 1017 },
+ { 0xe3d8f9e5, 0x63a198e5, 0x58180fdd, 1020 },
+ { 0x8e679c2f, 0x5e44ff8f, 0x570f09ea, 1024 },
+ { 0xb201833b, 0x35d63f73, 0x2cd2cc65, 1027 },
+ { 0xde81e40a, 0x034bcf4f, 0xf8077f7e, 1030 },
+ { 0x8b112e86, 0x420f6191, 0xfb04afaf, 1034 },
+ { 0xadd57a27, 0xd29339f6, 0x79c5db9a, 1037 },
+ { 0xd94ad8b1, 0xc7380874, 0x18375281, 1040 },
+ { 0x87cec76f, 0x1c830548, 0x8f229391, 1044 },
+ { 0xa9c2794a, 0xe3a3c69a, 0xb2eb3875, 1047 },
+ { 0xd433179d, 0x9c8cb841, 0x5fa60692, 1050 },
+ { 0x849feec2, 0x81d7f328, 0xdbc7c41b, 1054 },
+ { 0xa5c7ea73, 0x224deff3, 0x12b9b522, 1057 },
+ { 0xcf39e50f, 0xeae16bef, 0xd768226b, 1060 },
+ { 0x81842f29, 0xf2cce375, 0xe6a11583, 1064 },
+ { 0xa1e53af4, 0x6f801c53, 0x60495ae3, 1067 },
+ { 0xca5e89b1, 0x8b602368, 0x385bb19c, 1070 },
+ { 0xfcf62c1d, 0xee382c42, 0x46729e03, 1073 },
+ { 0x9e19db92, 0xb4e31ba9, 0x6c07a2c2, 1077 }
+ };
+ static short int Lhint[2098] = {
+ /*18,*/19, 19, 19, 19, 20, 20, 20, 21, 21,
+ 21, 22, 22, 22, 23, 23, 23, 23, 24, 24,
+ 24, 25, 25, 25, 26, 26, 26, 26, 27, 27,
+ 27, 28, 28, 28, 29, 29, 29, 29, 30, 30,
+ 30, 31, 31, 31, 32, 32, 32, 32, 33, 33,
+ 33, 34, 34, 34, 35, 35, 35, 35, 36, 36,
+ 36, 37, 37, 37, 38, 38, 38, 38, 39, 39,
+ 39, 40, 40, 40, 41, 41, 41, 41, 42, 42,
+ 42, 43, 43, 43, 44, 44, 44, 44, 45, 45,
+ 45, 46, 46, 46, 47, 47, 47, 47, 48, 48,
+ 48, 49, 49, 49, 50, 50, 50, 51, 51, 51,
+ 51, 52, 52, 52, 53, 53, 53, 54, 54, 54,
+ 54, 55, 55, 55, 56, 56, 56, 57, 57, 57,
+ 57, 58, 58, 58, 59, 59, 59, 60, 60, 60,
+ 60, 61, 61, 61, 62, 62, 62, 63, 63, 63,
+ 63, 64, 64, 64, 65, 65, 65, 66, 66, 66,
+ 66, 67, 67, 67, 68, 68, 68, 69, 69, 69,
+ 69, 70, 70, 70, 71, 71, 71, 72, 72, 72,
+ 72, 73, 73, 73, 74, 74, 74, 75, 75, 75,
+ 75, 76, 76, 76, 77, 77, 77, 78, 78, 78,
+ 78, 79, 79, 79, 80, 80, 80, 81, 81, 81,
+ 82, 82, 82, 82, 83, 83, 83, 84, 84, 84,
+ 85, 85, 85, 85, 86, 86, 86, 87, 87, 87,
+ 88, 88, 88, 88, 89, 89, 89, 90, 90, 90,
+ 91, 91, 91, 91, 92, 92, 92, 93, 93, 93,
+ 94, 94, 94, 94, 95, 95, 95, 96, 96, 96,
+ 97, 97, 97, 97, 98, 98, 98, 99, 99, 99,
+ 100, 100, 100, 100, 101, 101, 101, 102, 102, 102,
+ 103, 103, 103, 103, 104, 104, 104, 105, 105, 105,
+ 106, 106, 106, 106, 107, 107, 107, 108, 108, 108,
+ 109, 109, 109, 110, 110, 110, 110, 111, 111, 111,
+ 112, 112, 112, 113, 113, 113, 113, 114, 114, 114,
+ 115, 115, 115, 116, 116, 116, 116, 117, 117, 117,
+ 118, 118, 118, 119, 119, 119, 119, 120, 120, 120,
+ 121, 121, 121, 122, 122, 122, 122, 123, 123, 123,
+ 124, 124, 124, 125, 125, 125, 125, 126, 126, 126,
+ 127, 127, 127, 128, 128, 128, 128, 129, 129, 129,
+ 130, 130, 130, 131, 131, 131, 131, 132, 132, 132,
+ 133, 133, 133, 134, 134, 134, 134, 135, 135, 135,
+ 136, 136, 136, 137, 137, 137, 137, 138, 138, 138,
+ 139, 139, 139, 140, 140, 140, 141, 141, 141, 141,
+ 142, 142, 142, 143, 143, 143, 144, 144, 144, 144,
+ 145, 145, 145, 146, 146, 146, 147, 147, 147, 147,
+ 148, 148, 148, 149, 149, 149, 150, 150, 150, 150,
+ 151, 151, 151, 152, 152, 152, 153, 153, 153, 153,
+ 154, 154, 154, 155, 155, 155, 156, 156, 156, 156,
+ 157, 157, 157, 158, 158, 158, 159, 159, 159, 159,
+ 160, 160, 160, 161, 161, 161, 162, 162, 162, 162,
+ 163, 163, 163, 164, 164, 164, 165, 165, 165, 165,
+ 166, 166, 166, 167, 167, 167, 168, 168, 168, 169,
+ 169, 169, 169, 170, 170, 170, 171, 171, 171, 172,
+ 172, 172, 172, 173, 173, 173, 174, 174, 174, 175,
+ 175, 175, 175, 176, 176, 176, 177, 177, 177, 178,
+ 178, 178, 178, 179, 179, 179, 180, 180, 180, 181,
+ 181, 181, 181, 182, 182, 182, 183, 183, 183, 184,
+ 184, 184, 184, 185, 185, 185, 186, 186, 186, 187,
+ 187, 187, 187, 188, 188, 188, 189, 189, 189, 190,
+ 190, 190, 190, 191, 191, 191, 192, 192, 192, 193,
+ 193, 193, 193, 194, 194, 194, 195, 195, 195, 196,
+ 196, 196, 197, 197, 197, 197, 198, 198, 198, 199,
+ 199, 199, 200, 200, 200, 200, 201, 201, 201, 202,
+ 202, 202, 203, 203, 203, 203, 204, 204, 204, 205,
+ 205, 205, 206, 206, 206, 206, 207, 207, 207, 208,
+ 208, 208, 209, 209, 209, 209, 210, 210, 210, 211,
+ 211, 211, 212, 212, 212, 212, 213, 213, 213, 214,
+ 214, 214, 215, 215, 215, 215, 216, 216, 216, 217,
+ 217, 217, 218, 218, 218, 218, 219, 219, 219, 220,
+ 220, 220, 221, 221, 221, 221, 222, 222, 222, 223,
+ 223, 223, 224, 224, 224, 224, 225, 225, 225, 226,
+ 226, 226, 227, 227, 227, 228, 228, 228, 228, 229,
+ 229, 229, 230, 230, 230, 231, 231, 231, 231, 232,
+ 232, 232, 233, 233, 233, 234, 234, 234, 234, 235,
+ 235, 235, 236, 236, 236, 237, 237, 237, 237, 238,
+ 238, 238, 239, 239, 239, 240, 240, 240, 240, 241,
+ 241, 241, 242, 242, 242, 243, 243, 243, 243, 244,
+ 244, 244, 245, 245, 245, 246, 246, 246, 246, 247,
+ 247, 247, 248, 248, 248, 249, 249, 249, 249, 250,
+ 250, 250, 251, 251, 251, 252, 252, 252, 252, 253,
+ 253, 253, 254, 254, 254, 255, 255, 255, 256, 256,
+ 256, 256, 257, 257, 257, 258, 258, 258, 259, 259,
+ 259, 259, 260, 260, 260, 261, 261, 261, 262, 262,
+ 262, 262, 263, 263, 263, 264, 264, 264, 265, 265,
+ 265, 265, 266, 266, 266, 267, 267, 267, 268, 268,
+ 268, 268, 269, 269, 269, 270, 270, 270, 271, 271,
+ 271, 271, 272, 272, 272, 273, 273, 273, 274, 274,
+ 274, 274, 275, 275, 275, 276, 276, 276, 277, 277,
+ 277, 277, 278, 278, 278, 279, 279, 279, 280, 280,
+ 280, 280, 281, 281, 281, 282, 282, 282, 283, 283,
+ 283, 283, 284, 284, 284, 285, 285, 285, 286, 286,
+ 286, 287, 287, 287, 287, 288, 288, 288, 289, 289,
+ 289, 290, 290, 290, 290, 291, 291, 291, 292, 292,
+ 292, 293, 293, 293, 293, 294, 294, 294, 295, 295,
+ 295, 296, 296, 296, 296, 297, 297, 297, 298, 298,
+ 298, 299, 299, 299, 299, 300, 300, 300, 301, 301,
+ 301, 302, 302, 302, 302, 303, 303, 303, 304, 304,
+ 304, 305, 305, 305, 305, 306, 306, 306, 307, 307,
+ 307, 308, 308, 308, 308, 309, 309, 309, 310, 310,
+ 310, 311, 311, 311, 311, 312, 312, 312, 313, 313,
+ 313, 314, 314, 314, 315, 315, 315, 315, 316, 316,
+ 316, 317, 317, 317, 318, 318, 318, 318, 319, 319,
+ 319, 320, 320, 320, 321, 321, 321, 321, 322, 322,
+ 322, 323, 323, 323, 324, 324, 324, 324, 325, 325,
+ 325, 326, 326, 326, 327, 327, 327, 327, 328, 328,
+ 328, 329, 329, 329, 330, 330, 330, 330, 331, 331,
+ 331, 332, 332, 332, 333, 333, 333, 333, 334, 334,
+ 334, 335, 335, 335, 336, 336, 336, 336, 337, 337,
+ 337, 338, 338, 338, 339, 339, 339, 339, 340, 340,
+ 340, 341, 341, 341, 342, 342, 342, 342, 343, 343,
+ 343, 344, 344, 344, 345, 345, 345, 346, 346, 346,
+ 346, 347, 347, 347, 348, 348, 348, 349, 349, 349,
+ 349, 350, 350, 350, 351, 351, 351, 352, 352, 352,
+ 352, 353, 353, 353, 354, 354, 354, 355, 355, 355,
+ 355, 356, 356, 356, 357, 357, 357, 358, 358, 358,
+ 358, 359, 359, 359, 360, 360, 360, 361, 361, 361,
+ 361, 362, 362, 362, 363, 363, 363, 364, 364, 364,
+ 364, 365, 365, 365, 366, 366, 366, 367, 367, 367,
+ 367, 368, 368, 368, 369, 369, 369, 370, 370, 370,
+ 370, 371, 371, 371, 372, 372, 372, 373, 373, 373,
+ 374, 374, 374, 374, 375, 375, 375, 376, 376, 376,
+ 377, 377, 377, 377, 378, 378, 378, 379, 379, 379,
+ 380, 380, 380, 380, 381, 381, 381, 382, 382, 382,
+ 383, 383, 383, 383, 384, 384, 384, 385, 385, 385,
+ 386, 386, 386, 386, 387, 387, 387, 388, 388, 388,
+ 389, 389, 389, 389, 390, 390, 390, 391, 391, 391,
+ 392, 392, 392, 392, 393, 393, 393, 394, 394, 394,
+ 395, 395, 395, 395, 396, 396, 396, 397, 397, 397,
+ 398, 398, 398, 398, 399, 399, 399, 400, 400, 400,
+ 401, 401, 401, 402, 402, 402, 402, 403, 403, 403,
+ 404, 404, 404, 405, 405, 405, 405, 406, 406, 406,
+ 407, 407, 407, 408, 408, 408, 408, 409, 409, 409,
+ 410, 410, 410, 411, 411, 411, 411, 412, 412, 412,
+ 413, 413, 413, 414, 414, 414, 414, 415, 415, 415,
+ 416, 416, 416, 417, 417, 417, 417, 418, 418, 418,
+ 419, 419, 419, 420, 420, 420, 420, 421, 421, 421,
+ 422, 422, 422, 423, 423, 423, 423, 424, 424, 424,
+ 425, 425, 425, 426, 426, 426, 426, 427, 427, 427,
+ 428, 428, 428, 429, 429, 429, 429, 430, 430, 430,
+ 431, 431, 431, 432, 432, 432, 433, 433, 433, 433,
+ 434, 434, 434, 435, 435, 435, 436, 436, 436, 436,
+ 437, 437, 437, 438, 438, 438, 439, 439, 439, 439,
+ 440, 440, 440, 441, 441, 441, 442, 442, 442, 442,
+ 443, 443, 443, 444, 444, 444, 445, 445, 445, 445,
+ 446, 446, 446, 447, 447, 447, 448, 448, 448, 448,
+ 449, 449, 449, 450, 450, 450, 451, 451, 451, 451,
+ 452, 452, 452, 453, 453, 453, 454, 454, 454, 454,
+ 455, 455, 455, 456, 456, 456, 457, 457, 457, 457,
+ 458, 458, 458, 459, 459, 459, 460, 460, 460, 461,
+ 461, 461, 461, 462, 462, 462, 463, 463, 463, 464,
+ 464, 464, 464, 465, 465, 465, 466, 466, 466, 467,
+ 467, 467, 467, 468, 468, 468, 469, 469, 469, 470,
+ 470, 470, 470, 471, 471, 471, 472, 472, 472, 473,
+ 473, 473, 473, 474, 474, 474, 475, 475, 475, 476,
+ 476, 476, 476, 477, 477, 477, 478, 478, 478, 479,
+ 479, 479, 479, 480, 480, 480, 481, 481, 481, 482,
+ 482, 482, 482, 483, 483, 483, 484, 484, 484, 485,
+ 485, 485, 485, 486, 486, 486, 487, 487, 487, 488,
+ 488, 488, 488, 489, 489, 489, 490, 490, 490, 491,
+ 491, 491, 492, 492, 492, 492, 493, 493, 493, 494,
+ 494, 494, 495, 495, 495, 495, 496, 496, 496, 497,
+ 497, 497, 498, 498, 498, 498, 499, 499, 499, 500,
+ 500, 500, 501, 501, 501, 501, 502, 502, 502, 503,
+ 503, 503, 504, 504, 504, 504, 505, 505, 505, 506,
+ 506, 506, 507, 507, 507, 507, 508, 508, 508, 509,
+ 509, 509, 510, 510, 510, 510, 511, 511, 511, 512,
+ 512, 512, 513, 513, 513, 513, 514, 514, 514, 515,
+ 515, 515, 516, 516, 516, 516, 517, 517, 517, 518,
+ 518, 518, 519, 519, 519, 520, 520, 520, 520, 521,
+ 521, 521, 522, 522, 522, 523, 523, 523, 523, 524,
+ 524, 524, 525, 525, 525, 526, 526, 526, 526, 527,
+ 527, 527, 528, 528, 528, 529, 529, 529, 529, 530,
+ 530, 530, 531, 531, 531, 532, 532, 532, 532, 533,
+ 533, 533, 534, 534, 534, 535, 535, 535, 535, 536,
+ 536, 536, 537, 537, 537, 538, 538, 538, 538, 539,
+ 539, 539, 540, 540, 540, 541, 541, 541, 541, 542,
+ 542, 542, 543, 543, 543, 544, 544, 544, 544, 545,
+ 545, 545, 546, 546, 546, 547, 547, 547, 548, 548,
+ 548, 548, 549, 549, 549, 550, 550, 550, 551, 551,
+ 551, 551, 552, 552, 552, 553, 553, 553, 554, 554,
+ 554, 554, 555, 555, 555, 556, 556, 556, 557, 557,
+ 557, 557, 558, 558, 558, 559, 559, 559, 560, 560,
+ 560, 560, 561, 561, 561, 562, 562, 562, 563, 563,
+ 563, 563, 564, 564, 564, 565, 565, 565, 566, 566,
+ 566, 566, 567, 567, 567, 568, 568, 568, 569, 569,
+ 569, 569, 570, 570, 570, 571, 571, 571, 572, 572,
+ 572, 572, 573, 573, 573, 574, 574, 574, 575, 575,
+ 575, 575, 576, 576, 576, 577, 577, 577, 578, 578,
+ 578, 579, 579, 579, 579, 580, 580, 580, 581, 581,
+ 581, 582, 582, 582, 582, 583, 583, 583, 584, 584,
+ 584, 585, 585, 585, 585, 586, 586, 586, 587, 587,
+ 587, 588, 588, 588, 588, 589, 589, 589, 590, 590,
+ 590, 591, 591, 591, 591, 592, 592, 592, 593, 593,
+ 593, 594, 594, 594, 594, 595, 595, 595, 596, 596,
+ 596, 597, 597, 597, 597, 598, 598, 598, 599, 599,
+ 599, 600, 600, 600, 600, 601, 601, 601, 602, 602,
+ 602, 603, 603, 603, 603, 604, 604, 604, 605, 605,
+ 605, 606, 606, 606, 607, 607, 607, 607, 608, 608,
+ 608, 609, 609, 609, 610, 610, 610, 610, 611, 611,
+ 611, 612, 612, 612, 613, 613, 613, 613, 614, 614,
+ 614, 615, 615, 615, 616, 616, 616, 616, 617, 617,
+ 617, 618, 618, 618, 619, 619, 619, 619, 620, 620,
+ 620, 621, 621, 621, 622, 622, 622, 622, 623, 623,
+ 623, 624, 624, 624, 625, 625, 625, 625, 626, 626,
+ 626, 627, 627, 627, 628, 628, 628, 628, 629, 629,
+ 629, 630, 630, 630, 631, 631, 631, 631, 632, 632,
+ 632, 633, 633, 633, 634, 634, 634, 634, 635, 635,
+ 635, 636, 636, 636, 637, 637, 637, 638, 638, 638,
+ 638, 639, 639, 639, 640, 640, 640, 641, 641, 641,
+ 641, 642, 642, 642, 643, 643, 643, 644, 644, 644,
+ 644, 645, 645, 645, 646, 646, 646, 647, 647, 647,
+ 647, 648, 648, 648, 649, 649, 649, 650, 650 };
+ static ULLong pfive[27] = {
+ 5ll,
+ 25ll,
+ 125ll,
+ 625ll,
+ 3125ll,
+ 15625ll,
+ 78125ll,
+ 390625ll,
+ 1953125ll,
+ 9765625ll,
+ 48828125ll,
+ 244140625ll,
+ 1220703125ll,
+ 6103515625ll,
+ 30517578125ll,
+ 152587890625ll,
+ 762939453125ll,
+ 3814697265625ll,
+ 19073486328125ll,
+ 95367431640625ll,
+ 476837158203125ll,
+ 2384185791015625ll,
+ 11920928955078125ll,
+ 59604644775390625ll,
+ 298023223876953125ll,
+ 1490116119384765625ll,
+ 7450580596923828125ll
+ };
+
+ static int pfivebits[25] = {3, 5, 7, 10, 12, 14, 17, 19, 21, 24, 26, 28, 31,
+ 33, 35, 38, 40, 42, 45, 47, 49, 52, 54, 56, 59};
+#endif /*}*/
+#endif /*}} NO_LONG_LONG */
+
+typedef union { double d; ULong L[2];
+#ifdef USE_BF96
+ ULLong LL;
+#endif
+ } U;
#ifdef IEEE_8087
#define word0(x) (x)->L[1]
@@ -314,6 +1313,7 @@ typedef union { double d; ULong L[2]; } U;
#define word1(x) (x)->L[1]
#endif
#define dval(x) (x)->d
+#define LLval(x) (x)->LL
#ifndef STRTOD_DIGLIM
#define STRTOD_DIGLIM 40
@@ -471,11 +1471,7 @@ extern int strtod_diglim;
#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
@@ -492,34 +1488,17 @@ typedef struct BCinfo BCinfo;
struct
BCinfo { int dp0, dp1, dplen, dsign, e0, inexact, nd, nd0, rounding, scale, uflchk; };
-#ifdef KR_headers
-#define FFFFFFFF ((((unsigned long)0xffff)<<16)|(unsigned long)0xffff)
-#else
#define FFFFFFFF 0xffffffffUL
-#endif
-
-#ifdef NO_LONG_LONG
-#undef ULLong
-#ifdef Just_16
-#undef Pack_32
-/* 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 */
-#ifndef MULTIPLE_THREADS
-#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
-#define FREE_DTOA_LOCK(n) /*nothing*/
+#ifdef MULTIPLE_THREADS
+#define MTa , PTI
+#define MTb , &TI
+#define MTd , ThInfo **PTI
+static unsigned int maxthreads = 0;
+#else
+#define MTa /*nothing*/
+#define MTb /*nothing*/
+#define MTd /*nothing*/
#endif
#define Kmax 7
@@ -538,24 +1517,77 @@ Bigint {
};
typedef struct Bigint Bigint;
+ typedef struct
+ThInfo {
+ Bigint *Freelist[Kmax+1];
+ Bigint *P5s;
+ } ThInfo;
- static Bigint *freelist[Kmax+1];
+ static ThInfo TI0;
- static Bigint *
-Balloc
-#ifdef KR_headers
- (k) int k;
+#ifdef MULTIPLE_THREADS
+ static ThInfo *TI1;
+ static int TI0_used;
+
+ void
+set_max_dtoa_threads(unsigned int n)
+{
+ size_t L;
+
+ if (n > maxthreads) {
+ L = n*sizeof(ThInfo);
+ if (TI1) {
+ TI1 = (ThInfo*)REALLOC(TI1, L);
+ memset(TI1 + maxthreads, 0, (n-maxthreads)*sizeof(ThInfo));
+ }
+ else {
+ TI1 = (ThInfo*)MALLOC(L);
+ if (TI0_used) {
+ memcpy(TI1, &TI0, sizeof(ThInfo));
+ if (n > 1)
+ memset(TI1 + 1, 0, L - sizeof(ThInfo));
+ memset(&TI0, 0, sizeof(ThInfo));
+ }
+ else
+ memset(TI1, 0, L);
+ }
+ maxthreads = n;
+ }
+ }
+
+ static ThInfo*
+get_TI(void)
+{
+ unsigned int thno = dtoa_get_threadno();
+ if (thno < maxthreads)
+ return TI1 + thno;
+ if (thno == 0)
+ TI0_used = 1;
+ return &TI0;
+ }
+#define freelist TI->Freelist
+#define p5s TI->P5s
#else
- (int k)
+#define freelist TI0.Freelist
+#define p5s TI0.P5s
#endif
+
+ static Bigint *
+Balloc(int k MTd)
{
int x;
Bigint *rv;
#ifndef Omit_Private_Memory
unsigned int len;
#endif
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI;
- ACQUIRE_DTOA_LOCK(0);
+ if (!(TI = *PTI))
+ *PTI = TI = get_TI();
+ if (TI == &TI0)
+ ACQUIRE_DTOA_LOCK(0);
+#endif
/* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
/* but this case seems very unlikely. */
if (k <= Kmax && (rv = freelist[k]))
@@ -567,7 +1599,11 @@ Balloc
#else
len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
/sizeof(double);
- if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
+ if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem
+#ifdef MULTIPLE_THREADS
+ && TI == TI1
+#endif
+ ) {
rv = (Bigint*)pmem_next;
pmem_next += len;
}
@@ -577,31 +1613,36 @@ Balloc
rv->k = k;
rv->maxwds = x;
}
- FREE_DTOA_LOCK(0);
+#ifdef MULTIPLE_THREADS
+ if (TI == &TI0)
+ FREE_DTOA_LOCK(0);
+#endif
rv->sign = rv->wds = 0;
return rv;
}
static void
-Bfree
-#ifdef KR_headers
- (v) Bigint *v;
-#else
- (Bigint *v)
-#endif
+Bfree(Bigint *v MTd)
{
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI;
+#endif
if (v) {
if (v->k > Kmax)
-#ifdef FREE
FREE((void*)v);
-#else
- free((void*)v);
-#endif
else {
- ACQUIRE_DTOA_LOCK(0);
+#ifdef MULTIPLE_THREADS
+ if (!(TI = *PTI))
+ *PTI = TI = get_TI();
+ if (TI == &TI0)
+ ACQUIRE_DTOA_LOCK(0);
+#endif
v->next = freelist[v->k];
freelist[v->k] = v;
- FREE_DTOA_LOCK(0);
+#ifdef MULTIPLE_THREADS
+ if (TI == &TI0)
+ FREE_DTOA_LOCK(0);
+#endif
}
}
}
@@ -610,12 +1651,7 @@ Bfree
y->wds*sizeof(Long) + 2*sizeof(int))
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
+multadd(Bigint *b, int m, int a MTd) /* multiply by m and add a */
{
int i, wds;
#ifdef ULLong
@@ -655,9 +1691,9 @@ multadd
while(++i < wds);
if (carry) {
if (wds >= b->maxwds) {
- b1 = Balloc(b->k+1);
+ b1 = Balloc(b->k+1 MTa);
Bcopy(b1, b);
- Bfree(b);
+ Bfree(b MTa);
b = b1;
}
b->x[wds++] = carry;
@@ -667,12 +1703,7 @@ multadd
}
static Bigint *
-s2b
-#ifdef KR_headers
- (s, nd0, nd, y9, dplen) CONST char *s; int nd0, nd, dplen; ULong y9;
-#else
- (const char *s, int nd0, int nd, ULong y9, int dplen)
-#endif
+s2b(const char *s, int nd0, int nd, ULong y9, int dplen MTd)
{
Bigint *b;
int i, k;
@@ -681,11 +1712,11 @@ s2b
x = (nd + 8) / 9;
for(k = 0, y = 1; x > y; y <<= 1, k++) ;
#ifdef Pack_32
- b = Balloc(k);
+ b = Balloc(k MTa);
b->x[0] = y9;
b->wds = 1;
#else
- b = Balloc(k+1);
+ b = Balloc(k+1 MTa);
b->x[0] = y9 & 0xffff;
b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
#endif
@@ -693,24 +1724,19 @@ s2b
i = 9;
if (9 < nd0) {
s += 9;
- do b = multadd(b, 10, *s++ - '0');
+ do b = multadd(b, 10, *s++ - '0' MTa);
while(++i < nd0);
s += dplen;
}
else
s += dplen + 9;
for(; i < nd; i++)
- b = multadd(b, 10, *s++ - '0');
+ b = multadd(b, 10, *s++ - '0' MTa);
return b;
}
static int
-hi0bits
-#ifdef KR_headers
- (x) ULong x;
-#else
- (ULong x)
-#endif
+hi0bits(ULong x)
{
int k = 0;
@@ -739,12 +1765,7 @@ hi0bits
}
static int
-lo0bits
-#ifdef KR_headers
- (y) ULong *y;
-#else
- (ULong *y)
-#endif
+lo0bits(ULong *y)
{
int k;
ULong x = *y;
@@ -787,28 +1808,18 @@ lo0bits
}
static Bigint *
-i2b
-#ifdef KR_headers
- (i) int i;
-#else
- (int i)
-#endif
+i2b(int i MTd)
{
Bigint *b;
- b = Balloc(1);
+ b = Balloc(1 MTa);
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
+mult(Bigint *a, Bigint *b MTd)
{
Bigint *c;
int k, wa, wb, wc;
@@ -834,7 +1845,7 @@ mult
wc = wa + wb;
if (wc > a->maxwds)
k++;
- c = Balloc(k);
+ c = Balloc(k MTa);
for(x = c->x, xa = x + wc; x < xa; x++)
*x = 0;
xa = a->x;
@@ -912,55 +1923,63 @@ mult
return c;
}
- static Bigint *p5s;
-
static Bigint *
-pow5mult
-#ifdef KR_headers
- (b, k) Bigint *b; int k;
-#else
- (Bigint *b, int k)
-#endif
+pow5mult(Bigint *b, int k MTd)
{
Bigint *b1, *p5, *p51;
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI;
+#endif
int i;
static int p05[3] = { 5, 25, 125 };
if ((i = k & 3))
- b = multadd(b, p05[i-1], 0);
+ b = multadd(b, p05[i-1], 0 MTa);
if (!(k >>= 2))
return b;
+#ifdef MULTIPLE_THREADS
+ if (!(TI = *PTI))
+ *PTI = TI = get_TI();
+#endif
if (!(p5 = p5s)) {
/* first time */
#ifdef MULTIPLE_THREADS
- ACQUIRE_DTOA_LOCK(1);
+ if (!(TI = *PTI))
+ *PTI = TI = get_TI();
+ if (TI == &TI0)
+ ACQUIRE_DTOA_LOCK(1);
if (!(p5 = p5s)) {
- p5 = p5s = i2b(625);
+ p5 = p5s = i2b(625 MTa);
p5->next = 0;
}
- FREE_DTOA_LOCK(1);
+ if (TI == &TI0)
+ FREE_DTOA_LOCK(1);
#else
- p5 = p5s = i2b(625);
+ p5 = p5s = i2b(625 MTa);
p5->next = 0;
#endif
}
for(;;) {
if (k & 1) {
- b1 = mult(b, p5);
- Bfree(b);
+ b1 = mult(b, p5 MTa);
+ Bfree(b MTa);
b = b1;
}
if (!(k >>= 1))
break;
if (!(p51 = p5->next)) {
#ifdef MULTIPLE_THREADS
- ACQUIRE_DTOA_LOCK(1);
+ if (!TI && !(TI = *PTI))
+ *PTI = TI = get_TI();
+ if (TI == &TI0)
+ ACQUIRE_DTOA_LOCK(1);
if (!(p51 = p5->next)) {
- p51 = p5->next = mult(p5,p5);
+ p51 = p5->next = mult(p5,p5 MTa);
p51->next = 0;
}
- FREE_DTOA_LOCK(1);
+ if (TI == &TI0)
+ FREE_DTOA_LOCK(1);
#else
p51 = p5->next = mult(p5,p5);
p51->next = 0;
@@ -972,12 +1991,7 @@ pow5mult
}
static Bigint *
-lshift
-#ifdef KR_headers
- (b, k) Bigint *b; int k;
-#else
- (Bigint *b, int k)
-#endif
+lshift(Bigint *b, int k MTd)
{
int i, k1, n, n1;
Bigint *b1;
@@ -992,7 +2006,7 @@ lshift
n1 = n + b->wds + 1;
for(i = b->maxwds; n1 > i; i <<= 1)
k1++;
- b1 = Balloc(k1);
+ b1 = Balloc(k1 MTa);
x1 = b1->x;
for(i = 0; i < n; i++)
*x1++ = 0;
@@ -1027,17 +2041,12 @@ lshift
*x1++ = *x++;
while(x < xe);
b1->wds = n1 - 1;
- Bfree(b);
+ Bfree(b MTa);
return b1;
}
static int
-cmp
-#ifdef KR_headers
- (a, b) Bigint *a, *b;
-#else
- (Bigint *a, Bigint *b)
-#endif
+cmp(Bigint *a, Bigint *b)
{
ULong *xa, *xa0, *xb, *xb0;
int i, j;
@@ -1066,12 +2075,7 @@ cmp
}
static Bigint *
-diff
-#ifdef KR_headers
- (a, b) Bigint *a, *b;
-#else
- (Bigint *a, Bigint *b)
-#endif
+diff(Bigint *a, Bigint *b MTd)
{
Bigint *c;
int i, wa, wb;
@@ -1087,7 +2091,7 @@ diff
i = cmp(a,b);
if (!i) {
- c = Balloc(0);
+ c = Balloc(0 MTa);
c->wds = 1;
c->x[0] = 0;
return c;
@@ -1100,7 +2104,7 @@ diff
}
else
i = 0;
- c = Balloc(a->k);
+ c = Balloc(a->k MTa);
c->sign = i;
wa = a->wds;
xa = a->x;
@@ -1160,12 +2164,7 @@ diff
}
static double
-ulp
-#ifdef KR_headers
- (x) U *x;
-#else
- (U *x)
-#endif
+ulp(U *x)
{
Long L;
U u;
@@ -1202,12 +2201,7 @@ ulp
}
static double
-b2d
-#ifdef KR_headers
- (a, e) Bigint *a; int *e;
-#else
- (Bigint *a, int *e)
-#endif
+b2d(Bigint *a, int *e)
{
ULong *xa, *xa0, w, y, z;
int k;
@@ -1272,12 +2266,7 @@ b2d
}
static Bigint *
-d2b
-#ifdef KR_headers
- (d, e, bits) U *d; int *e, *bits;
-#else
- (U *d, int *e, int *bits)
-#endif
+d2b(U *d, int *e, int *bits MTd)
{
Bigint *b;
int de, k;
@@ -1295,9 +2284,9 @@ d2b
#endif
#ifdef Pack_32
- b = Balloc(1);
+ b = Balloc(1 MTa);
#else
- b = Balloc(2);
+ b = Balloc(2 MTa);
#endif
x = b->x;
@@ -1406,12 +2395,7 @@ d2b
#undef d1
static double
-ratio
-#ifdef KR_headers
- (a, b) Bigint *a, *b;
-#else
- (Bigint *a, Bigint *b)
-#endif
+ratio(Bigint *a, Bigint *b)
{
U da, db;
int k, ka, kb;
@@ -1446,7 +2430,7 @@ ratio
return dval(&da) / dval(&db);
}
- static CONST double
+ static const double
tens[] = {
1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
@@ -1456,10 +2440,10 @@ tens[] = {
#endif
};
- static CONST double
+ static const double
#ifdef IEEE_Arith
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
-static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
+static const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
#ifdef Avoid_Underflow
9007199254740992.*9007199254740992.e-256
/* = 2^106 * 1e-256 */
@@ -1474,11 +2458,11 @@ static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
#else
#ifdef IBM
bigtens[] = { 1e16, 1e32, 1e64 };
-static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
+static const double tinytens[] = { 1e-16, 1e-32, 1e-64 };
#define n_bigtens 3
#else
bigtens[] = { 1e16, 1e32 };
-static CONST double tinytens[] = { 1e-16, 1e-32 };
+static const double tinytens[] = { 1e-16, 1e-32 };
#define n_bigtens 2
#endif
#endif
@@ -1497,14 +2481,11 @@ static CONST double tinytens[] = { 1e-16, 1e-32 };
#endif
#ifdef Need_Hexdig /*{*/
+#if 0
static 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++)
@@ -1512,17 +2493,34 @@ htinit(unsigned char *h, unsigned char *s, int inc)
}
static void
-#ifdef KR_headers
-hexdig_init()
-#else
-hexdig_init(void)
-#endif
+hexdig_init(void) /* Use of hexdig_init omitted 20121220 to avoid a */
+ /* race condition when multiple threads are used. */
{
#define USC (unsigned char *)
htinit(hexdig, USC "0123456789", 0x10);
htinit(hexdig, USC "abcdef", 0x10 + 10);
htinit(hexdig, USC "ABCDEF", 0x10 + 10);
}
+#else
+static unsigned char hexdig[256] = {
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 16,17,18,19,20,21,22,23,24,25,0,0,0,0,0,0,
+ 0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
+ };
+#endif
#endif /* } Need_Hexdig */
#ifdef INFNAN_CHECK
@@ -1536,15 +2534,10 @@ hexdig_init(void)
#endif
static int
-match
-#ifdef KR_headers
- (sp, t) char **sp, *t;
-#else
- (const char **sp, const char *t)
-#endif
+match(const char **sp, const char *t)
{
int c, d;
- CONST char *s = *sp;
+ const char *s = *sp;
while((d = *t++)) {
if ((c = *++s) >= 'A' && c <= 'Z')
@@ -1558,29 +2551,23 @@ match
#ifndef No_Hex_NaN
static void
-hexnan
-#ifdef KR_headers
- (rvp, sp) U *rvp; CONST char **sp;
-#else
- (U *rvp, const char **sp)
-#endif
+hexnan(U *rvp, const char **sp)
{
ULong c, x[2];
- CONST char *s;
+ const char *s;
int c1, havedig, udx0, xshift;
- if (!hexdig['0'])
- hexdig_init();
+ /**** if (!hexdig['0']) hexdig_init(); ****/
x[0] = x[1] = 0;
havedig = xshift = 0;
udx0 = 1;
s = *sp;
/* allow optional initial 0x or 0X */
- while((c = *(CONST unsigned char*)(s+1)) && c <= ' ')
+ while((c = *(const unsigned char*)(s+1)) && c <= ' ')
++s;
if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X'))
s += 2;
- while((c = *(CONST unsigned char*)++s)) {
+ while((c = *(const unsigned char*)++s)) {
if ((c1 = hexdig[c]))
c = c1 & 0xf;
else if (c <= ' ') {
@@ -1638,11 +2625,7 @@ hexnan
#if !defined(NO_HEX_FP) || defined(Honor_FLT_ROUNDS) /*{*/
static Bigint *
-#ifdef KR_headers
-increment(b) Bigint *b;
-#else
-increment(Bigint *b)
-#endif
+increment(Bigint *b MTd)
{
ULong *x, *xe;
Bigint *b1;
@@ -1658,9 +2641,9 @@ increment(Bigint *b)
} while(x < xe);
{
if (b->wds >= b->maxwds) {
- b1 = Balloc(b->k+1);
+ b1 = Balloc(b->k+1 MTa);
Bcopy(b1,b);
- Bfree(b);
+ Bfree(b MTa);
b = b1;
}
b->x[b->wds++] = 1;
@@ -1673,11 +2656,7 @@ increment(Bigint *b)
#ifndef NO_HEX_FP /*{*/
static 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;
@@ -1706,11 +2685,7 @@ rshift(Bigint *b, int k)
}
static 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;
@@ -1743,15 +2718,10 @@ enum { /* rounding values: same as FLT_ROUNDS */
};
void
-#ifdef KR_headers
-gethex(sp, rvp, rounding, sign)
- CONST char **sp; U *rvp; int rounding, sign;
-#else
-gethex( CONST char **sp, U *rvp, int rounding, int sign)
-#endif
+gethex( const char **sp, U *rvp, int rounding, int sign MTd)
{
Bigint *b;
- CONST unsigned char *decpt, *s0, *s, *s1;
+ const unsigned char *decpt, *s0, *s, *s1;
Long e, e1;
ULong L, lostbits, *x;
int big, denorm, esign, havedig, k, n, nbits, up, zret;
@@ -1783,8 +2753,8 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
if (!(s0 = decimalpoint_cache)) {
s0 = (unsigned char*)localeconv()->decimal_point;
if ((decimalpoint_cache = (unsigned char*)
- MALLOC(strlen((CONST char*)s0) + 1))) {
- strcpy((char*)decimalpoint_cache, (CONST char*)s0);
+ MALLOC(strlen((const char*)s0) + 1))) {
+ strcpy((char*)decimalpoint_cache, (const char*)s0);
s0 = decimalpoint_cache;
}
}
@@ -1792,10 +2762,9 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
#endif
#endif
- if (!hexdig['0'])
- hexdig_init();
+ /**** if (!hexdig['0']) hexdig_init(); ****/
havedig = 0;
- s0 = *(CONST unsigned char **)sp + 2;
+ s0 = *(const unsigned char **)sp + 2;
while(s0[havedig] == '0')
havedig++;
s0 += havedig;
@@ -1893,10 +2862,10 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
#endif
goto retz;
#ifdef IEEE_Arith
+ ret_tinyf:
+ Bfree(b MTa);
ret_tiny:
-#ifndef NO_ERRNO
- errno = ERANGE;
-#endif
+ Set_errno(ERANGE);
word0(rvp) = 0;
word1(rvp) = 1;
return;
@@ -1922,7 +2891,7 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
n = s1 - s0 - 1;
for(k = 0; n > (1 << (kshift-2)) - 1; n >>= 1)
k++;
- b = Balloc(k);
+ b = Balloc(k MTa);
x = b->x;
n = 0;
L = 0;
@@ -1969,16 +2938,27 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
}
else if (n < nbits) {
n = nbits - n;
- b = lshift(b, n);
+ b = lshift(b, n MTa);
e -= n;
x = b->x;
}
- if (e > Emax) {
+ if (e > emax) {
ovfl:
- Bfree(b);
+ Bfree(b MTa);
ovfl1:
-#ifndef NO_ERRNO
- errno = ERANGE;
+ Set_errno(ERANGE);
+#ifdef Honor_FLT_ROUNDS
+ switch (rounding) {
+ case Round_zero:
+ goto ret_big;
+ case Round_down:
+ if (!sign)
+ goto ret_big;
+ break;
+ case Round_up:
+ if (sign)
+ goto ret_big;
+ }
#endif
word0(rvp) = Exp_mask;
word1(rvp) = 0;
@@ -1992,23 +2972,21 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
#ifdef IEEE_Arith /*{*/
switch (rounding) {
case Round_near:
- if (n == nbits && (n < 2 || any_on(b,n-1)))
- goto ret_tiny;
+ if (n == nbits && (n < 2 || lostbits || any_on(b,n-1)))
+ goto ret_tinyf;
break;
case Round_up:
if (!sign)
- goto ret_tiny;
+ goto ret_tinyf;
break;
case Round_down:
if (sign)
- goto ret_tiny;
+ goto ret_tinyf;
}
#endif /* } IEEE_Arith */
- Bfree(b);
+ Bfree(b MTa);
retz:
-#ifndef NO_ERRNO
- errno = ERANGE;
-#endif
+ Set_errno(ERANGE);
retz1:
rvp->d = 0.;
return;
@@ -2042,7 +3020,7 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
}
if (up) {
k = b->wds;
- b = increment(b);
+ b = increment(b MTa);
x = b->x;
if (denorm) {
#if 0
@@ -2099,16 +3077,12 @@ gethex( CONST char **sp, U *rvp, int rounding, int sign)
word0(rvp) = ((b->x[1] & ~0x800000) >> 16) | ((e + 129 + 55) << 7) | (b->x[1] << 16);
word1(rvp) = (b->x[0] >> 16) | (b->x[0] << 16);
#endif
- Bfree(b);
+ Bfree(b MTa);
}
#endif /*!NO_HEX_FP}*/
static int
-#ifdef KR_headers
-dshift(b, p2) Bigint *b; int p2;
-#else
dshift(Bigint *b, int p2)
-#endif
{
int rv = hi0bits(b->x[b->wds-1]) - 4;
if (p2 > 0)
@@ -2117,12 +3091,7 @@ dshift(Bigint *b, int p2)
}
static int
-quorem
-#ifdef KR_headers
- (b, S) Bigint *b, *S;
-#else
- (Bigint *b, Bigint *S)
-#endif
+quorem(Bigint *b, Bigint *S)
{
int n;
ULong *bx, *bxe, q, *sx, *sxe;
@@ -2242,12 +3211,7 @@ quorem
#if defined(Avoid_Underflow) || !defined(NO_STRTOD_BIGCOMP) /*{*/
static double
-sulp
-#ifdef KR_headers
- (x, bc) U *x; BCinfo *bc;
-#else
- (U *x, BCinfo *bc)
-#endif
+sulp(U *x, BCinfo *bc)
{
U u;
double rv;
@@ -2264,13 +3228,7 @@ sulp
#ifndef NO_STRTOD_BIGCOMP
static void
-bigcomp
-#ifdef KR_headers
- (rv, s0, bc)
- U *rv; CONST char *s0; BCinfo *bc;
-#else
- (U *rv, const char *s0, BCinfo *bc)
-#endif
+bigcomp(U *rv, const char *s0, BCinfo *bc MTd)
{
Bigint *b, *d;
int b2, bbits, d2, dd, dig, dsign, i, j, nd, nd0, p2, p5, speccase;
@@ -2283,7 +3241,7 @@ bigcomp
#ifndef Sudden_Underflow
if (rv->d == 0.) { /* special case: value near underflow-to-zero */
/* threshold was rounded to zero */
- b = i2b(1);
+ b = i2b(1 MTa);
p2 = Emin - P + 1;
bbits = 1;
#ifdef Avoid_Underflow
@@ -2304,7 +3262,7 @@ bigcomp
}
else
#endif
- b = d2b(rv, &p2, &bbits);
+ b = d2b(rv, &p2, &bbits MTa);
#ifdef Avoid_Underflow
p2 -= bc->scale;
#endif
@@ -2313,8 +3271,8 @@ bigcomp
i = P - bbits;
if (i > (j = P - Emin - 1 + p2)) {
#ifdef Sudden_Underflow
- Bfree(b);
- b = i2b(1);
+ Bfree(b MTa);
+ b = i2b(1 MTa);
p2 = Emin;
i = P - 1;
#ifdef Avoid_Underflow
@@ -2330,28 +3288,28 @@ bigcomp
#ifdef Honor_FLT_ROUNDS
if (bc->rounding != 1) {
if (i > 0)
- b = lshift(b, i);
+ b = lshift(b, i MTa);
if (dsign)
- b = increment(b);
+ b = increment(b MTa);
}
else
#endif
{
- b = lshift(b, ++i);
+ b = lshift(b, ++i MTa);
b->x[0] |= 1;
}
#ifndef Sudden_Underflow
have_i:
#endif
p2 -= p5 + i;
- d = i2b(1);
+ d = i2b(1 MTa);
/* Arrange for convenient computation of quotients:
* shift left if necessary so divisor has 4 leading 0 bits.
*/
if (p5 > 0)
- d = pow5mult(d, p5);
+ d = pow5mult(d, p5 MTa);
else if (p5 < 0)
- b = pow5mult(b, -p5);
+ b = pow5mult(b, -p5 MTa);
if (p2 > 0) {
b2 = p2;
d2 = 0;
@@ -2362,15 +3320,15 @@ bigcomp
}
i = dshift(d, d2);
if ((b2 += i) > 0)
- b = lshift(b, b2);
+ b = lshift(b, b2 MTa);
if ((d2 += i) > 0)
- d = lshift(d, d2);
+ d = lshift(d, d2 MTa);
/* Now b/d = exactly half-way between the two floating-point values */
/* on either side of the input string. Compute first digit of b/d. */
if (!(dig = quorem(b,d))) {
- b = multadd(b, 10, 0); /* very unlikely */
+ b = multadd(b, 10, 0 MTa); /* very unlikely */
dig = quorem(b,d);
}
@@ -2384,7 +3342,7 @@ bigcomp
dd = 1;
goto ret;
}
- b = multadd(b, 10, 0);
+ b = multadd(b, 10, 0 MTa);
dig = quorem(b,d);
}
for(j = bc->dp1; i++ < nd;) {
@@ -2395,14 +3353,14 @@ bigcomp
dd = 1;
goto ret;
}
- b = multadd(b, 10, 0);
+ b = multadd(b, 10, 0 MTa);
dig = quorem(b,d);
}
- if (b->x[0] || b->wds > 1)
+ if (dig > 0 || b->x[0] || b->wds > 1)
dd = -1;
ret:
- Bfree(b);
- Bfree(d);
+ Bfree(b MTa);
+ Bfree(d MTa);
#ifdef Honor_FLT_ROUNDS
if (bc->rounding != 1) {
if (dd < 0) {
@@ -2451,10 +3409,10 @@ retlow1:
if ((j = ((word0(rv) & Exp_mask) >> Exp_shift) - bc->scale) <= 0) {
i = 1 - j;
if (i <= 31) {
- if (word1(rv) & (0x1U << i))
+ if (word1(rv) & (0x1 << i))
goto odd;
}
- else if (word0(rv) & (0x1U << (i-32)))
+ else if (word0(rv) & (0x1 << (i-32)))
goto odd;
}
else if (word1(rv) & 1) {
@@ -2473,26 +3431,22 @@ retlow1:
#endif /* NO_STRTOD_BIGCOMP */
double
-fpconv_strtod
-#ifdef KR_headers
- (s00, se) CONST char *s00; char **se;
-#else
- (const char *s00, char **se)
-#endif
+fpconv_strtod(const char *s00, char **se)
{
int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, e, e1;
int esign, i, j, k, nd, nd0, nf, nz, nz0, nz1, sign;
- CONST char *s, *s0, *s1;
+ const char *s, *s0, *s1;
double aadj, aadj1;
Long L;
U aadj2, adj, rv, rv0;
ULong y, z;
BCinfo bc;
- Bigint *bb1, *bd0;
- Bigint *bb = NULL;
- Bigint *bd = NULL;
- Bigint *bs = NULL;
- Bigint *delta = NULL;
+ Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+#ifdef USE_BF96
+ ULLong bhi, blo, brv, t00, t01, t02, t10, t11, terv, tg, tlo, yz;
+ const BF96 *p10;
+ int bexact, erv;
+#endif
#ifdef Avoid_Underflow
ULong Lsb, Lsb1;
#endif
@@ -2502,6 +3456,9 @@ fpconv_strtod
#ifndef NO_STRTOD_BIGCOMP
int req_bigcomp = 0;
#endif
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI = 0;
+#endif
#ifdef Honor_FLT_ROUNDS /*{*/
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
bc.rounding = Flt_Rounds;
@@ -2515,7 +3472,7 @@ fpconv_strtod
#endif /*}}*/
#endif /*}*/
#ifdef USE_LOCALE
- CONST char *s2;
+ const char *s2;
#endif
sign = nz0 = nz1 = nz = bc.dplen = bc.uflchk = 0;
@@ -2547,9 +3504,9 @@ fpconv_strtod
case 'x':
case 'X':
#ifdef Honor_FLT_ROUNDS
- gethex(&s, &rv, bc.rounding, sign);
+ gethex(&s, &rv, bc.rounding, sign MTb);
#else
- gethex(&s, &rv, 1, sign);
+ gethex(&s, &rv, 1, sign MTb);
#endif
goto ret;
}
@@ -2560,12 +3517,20 @@ fpconv_strtod
goto ret;
}
s0 = s;
+ nd = nf = 0;
+#ifdef USE_BF96
+ yz = 0;
+ for(; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 19)
+ yz = 10*yz + c - '0';
+#else
y = z = 0;
- for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ for(; (c = *s) >= '0' && c <= '9'; nd++, s++)
if (nd < 9)
y = 10*y + c - '0';
- else if (nd < 16)
+ else if (nd < DBL_DIG + 2)
z = 10*z + c - '0';
+#endif
nd0 = nd;
bc.dp0 = bc.dp1 = s - s0;
for(s1 = s; s1 > s0 && *--s1 == '0'; )
@@ -2611,15 +3576,26 @@ fpconv_strtod
nz++;
if (c -= '0') {
nf += nz;
- for(i = 1; i < nz; i++)
+ i = 1;
+#ifdef USE_BF96
+ for(; i < nz; ++i) {
+ if (++nd <= 19)
+ yz *= 10;
+ }
+ if (++nd <= 19)
+ yz = 10*yz + c;
+#else
+ for(; i < nz; ++i) {
if (nd++ < 9)
y *= 10;
- else if (nd <= DBL_DIG + 1)
+ else if (nd <= DBL_DIG + 2)
z *= 10;
+ }
if (nd++ < 9)
y = 10*y + c;
- else if (nd <= DBL_DIG + 1)
+ else if (nd <= DBL_DIG + 2)
z = 10*z + c;
+#endif
nz = nz1 = 0;
}
}
@@ -2664,7 +3640,7 @@ fpconv_strtod
}
if (!nd) {
if (!nz && !nz0) {
-#ifdef INFNAN_CHECK
+#ifdef INFNAN_CHECK /*{*/
/* Check for Nan and Infinity */
if (!bc.dplen)
switch(c) {
@@ -2691,7 +3667,7 @@ fpconv_strtod
goto ret;
}
}
-#endif /* INFNAN_CHECK */
+#endif /*} INFNAN_CHECK */
ret0:
s = s00;
sign = 0;
@@ -2707,7 +3683,8 @@ fpconv_strtod
if (!nd0)
nd0 = nd;
- k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
+#ifndef USE_BF96
+ k = nd < DBL_DIG + 2 ? nd : DBL_DIG + 2;
dval(&rv) = y;
if (k > 9) {
#ifdef SET_INEXACT
@@ -2716,6 +3693,7 @@ fpconv_strtod
#endif
dval(&rv) = tens[k - 9] * dval(&rv) + z;
}
+#endif
bd0 = 0;
if (nd <= DBL_DIG
#ifndef RND_PRODQUOT
@@ -2724,11 +3702,18 @@ fpconv_strtod
#endif
#endif
) {
+#ifdef USE_BF96
+ dval(&rv) = yz;
+#endif
if (!e)
goto ret;
#ifndef ROUND_BIASED_without_Round_Up
if (e > 0) {
if (e <= Ten_pmax) {
+#ifdef SET_INEXACT
+ bc.inexact = 0;
+ oldinexact = 1;
+#endif
#ifdef VAX
goto vax_ovfl_check;
#else
@@ -2748,6 +3733,10 @@ fpconv_strtod
/* A fancier test would sometimes let us do
* this for larger i values.
*/
+#ifdef SET_INEXACT
+ bc.inexact = 0;
+ oldinexact = 1;
+#endif
#ifdef Honor_FLT_ROUNDS
/* round correctly FLT_ROUNDS = 2 or 3 */
if (sign) {
@@ -2776,6 +3765,10 @@ fpconv_strtod
}
#ifndef Inaccurate_Divide
else if (e >= -Ten_pmax) {
+#ifdef SET_INEXACT
+ bc.inexact = 0;
+ oldinexact = 1;
+#endif
#ifdef Honor_FLT_ROUNDS
/* round correctly FLT_ROUNDS = 2 or 3 */
if (sign) {
@@ -2789,16 +3782,18 @@ fpconv_strtod
#endif
#endif /* ROUND_BIASED_without_Round_Up */
}
- e1 += nd - k;
+#ifdef USE_BF96
+ k = nd < 19 ? nd : 19;
+#endif
+ e1 += nd - k; /* scale factor = 10^e1 */
#ifdef IEEE_Arith
#ifdef SET_INEXACT
bc.inexact = 1;
+#ifndef USE_BF96
if (k <= DBL_DIG)
- oldinexact = get_inexact();
#endif
-#ifdef Avoid_Underflow
- bc.scale = 0;
+ oldinexact = get_inexact();
#endif
#ifdef Honor_FLT_ROUNDS
if (bc.rounding >= 2) {
@@ -2811,29 +3806,338 @@ fpconv_strtod
#endif
#endif /*IEEE_Arith*/
- /* Get starting approximation = rv * 10**e1 */
-
- if (e1 > 0) {
- if ((i = e1 & 15))
- dval(&rv) *= tens[i];
- if (e1 &= ~15) {
- if (e1 > DBL_MAX_10_EXP) {
- ovfl:
- /* Can't trust HUGE_VAL */
-#ifdef IEEE_Arith
+#ifdef USE_BF96 /*{*/
+ Debug(++dtoa_stats[0]);
+ i = e1 + 342;
+ if (i < 0)
+ goto undfl;
+ if (i > 650)
+ goto ovfl;
+ p10 = &pten[i];
+ brv = yz;
+ /* shift brv left, with i = number of bits shifted */
+ i = 0;
+ if (!(brv & 0xffffffff00000000ull)) {
+ i = 32;
+ brv <<= 32;
+ }
+ if (!(brv & 0xffff000000000000ull)) {
+ i += 16;
+ brv <<= 16;
+ }
+ if (!(brv & 0xff00000000000000ull)) {
+ i += 8;
+ brv <<= 8;
+ }
+ if (!(brv & 0xf000000000000000ull)) {
+ i += 4;
+ brv <<= 4;
+ }
+ if (!(brv & 0xc000000000000000ull)) {
+ i += 2;
+ brv <<= 2;
+ }
+ if (!(brv & 0x8000000000000000ull)) {
+ i += 1;
+ brv <<= 1;
+ }
+ erv = (64 + 0x3fe) + p10->e - i;
+ if (erv <= 0 && nd > 19)
+ goto many_digits; /* denormal: may need to look at all digits */
+ bhi = brv >> 32;
+ blo = brv & 0xffffffffull;
+ /* Unsigned 32-bit ints lie in [0,2^32-1] and */
+ /* unsigned 64-bit ints lie in [0, 2^64-1]. The product of two unsigned */
+ /* 32-bit ints is <= 2^64 - 2*2^32-1 + 1 = 2^64 - 1 - 2*(2^32 - 1), so */
+ /* we can add two unsigned 32-bit ints to the product of two such ints, */
+ /* and 64 bits suffice to contain the result. */
+ t01 = bhi * p10->b1;
+ t10 = blo * p10->b0 + (t01 & 0xffffffffull);
+ t00 = bhi * p10->b0 + (t01 >> 32) + (t10 >> 32);
+ if (t00 & 0x8000000000000000ull) {
+ if ((t00 & 0x3ff) && (~t00 & 0x3fe)) { /* unambiguous result? */
+ if (nd > 19 && ((t00 + (1<<i) + 2) & 0x400) ^ (t00 & 0x400))
+ goto many_digits;
+ if (erv <= 0)
+ goto denormal;
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround;
+ case 2: goto roundup;
+ }
+#endif
+ if (t00 & 0x400 && t00 & 0xbff)
+ goto roundup;
+ goto noround;
+ }
+ }
+ else {
+ if ((t00 & 0x1ff) && (~t00 & 0x1fe)) { /* unambiguous result? */
+ if (nd > 19 && ((t00 + (1<<i) + 2) & 0x200) ^ (t00 & 0x200))
+ goto many_digits;
+ if (erv <= 1)
+ goto denormal1;
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround1;
+ case 2: goto roundup1;
+ }
+#endif
+ if (t00 & 0x200)
+ goto roundup1;
+ goto noround1;
+ }
+ }
+ /* 3 multiplies did not suffice; try a 96-bit approximation */
+ Debug(++dtoa_stats[1]);
+ t02 = bhi * p10->b2;
+ t11 = blo * p10->b1 + (t02 & 0xffffffffull);
+ bexact = 1;
+ if (e1 < 0 || e1 > 41 || (t10 | t11) & 0xffffffffull || nd > 19)
+ bexact = 0;
+ tlo = (t10 & 0xffffffffull) + (t02 >> 32) + (t11 >> 32);
+ if (!bexact && (tlo + 0x10) >> 32 > tlo >> 32)
+ goto many_digits;
+ t00 += tlo >> 32;
+ if (t00 & 0x8000000000000000ull) {
+ if (erv <= 0) { /* denormal result */
+ if (nd >= 20 || !((tlo & 0xfffffff0) | (t00 & 0x3ff)))
+ goto many_digits;
+ denormal:
+ if (erv <= -52) {
#ifdef Honor_FLT_ROUNDS
switch(bc.rounding) {
- case 0: /* toward 0 */
- case 3: /* toward -infinity */
- word0(&rv) = Big0;
- word1(&rv) = Big1;
- break;
- default:
- word0(&rv) = Exp_mask;
- word1(&rv) = 0;
+ case 0: goto undfl;
+ case 2: goto tiniest;
}
-#else /*Honor_FLT_ROUNDS*/
- word0(&rv) = Exp_mask;
+#endif
+ if (erv < -52 || !(t00 & 0x7fffffffffffffffull))
+ goto undfl;
+ goto tiniest;
+ }
+ tg = 1ull << (11 - erv);
+ t00 &= ~(tg - 1); /* clear low bits */
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround_den;
+ case 2: goto roundup_den;
+ }
+#endif
+ if (t00 & tg) {
+#ifdef Honor_FLT_ROUNDS
+ roundup_den:
+#endif
+ t00 += tg << 1;
+ if (!(t00 & 0x8000000000000000ull)) {
+ if (++erv > 0)
+ goto smallest_normal;
+ t00 = 0x8000000000000000ull;
+ }
+ }
+#ifdef Honor_FLT_ROUNDS
+ noround_den:
+#endif
+ LLval(&rv) = t00 >> (12 - erv);
+ Set_errno(ERANGE);
+ goto ret;
+ }
+ if (bexact) {
+#ifdef SET_INEXACT
+ if (!(t00 & 0x7ff) && !(tlo & 0xffffffffull)) {
+ bc.inexact = 0;
+ goto noround;
+ }
+#endif
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 2:
+ if (t00 & 0x7ff)
+ goto roundup;
+ case 0: goto noround;
+ }
+#endif
+ if (t00 & 0x400 && (tlo & 0xffffffff) | (t00 & 0xbff))
+ goto roundup;
+ goto noround;
+ }
+ if ((tlo & 0xfffffff0) | (t00 & 0x3ff)
+ && (nd <= 19 || ((t00 + (1ull << i)) & 0xfffffffffffffc00ull)
+ == (t00 & 0xfffffffffffffc00ull))) {
+ /* Unambiguous result. */
+ /* If nd > 19, then incrementing the 19th digit */
+ /* does not affect rv. */
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround;
+ case 2: goto roundup;
+ }
+#endif
+ if (t00 & 0x400) { /* round up */
+ roundup:
+ t00 += 0x800;
+ if (!(t00 & 0x8000000000000000ull)) {
+ /* rounded up to a power of 2 */
+ if (erv >= 0x7fe)
+ goto ovfl;
+ terv = erv + 1;
+ LLval(&rv) = terv << 52;
+ goto ret;
+ }
+ }
+ noround:
+ if (erv >= 0x7ff)
+ goto ovfl;
+ terv = erv;
+ LLval(&rv) = (terv << 52) | ((t00 & 0x7ffffffffffff800ull) >> 11);
+ goto ret;
+ }
+ }
+ else {
+ if (erv <= 1) { /* denormal result */
+ if (nd >= 20 || !((tlo & 0xfffffff0) | (t00 & 0x1ff)))
+ goto many_digits;
+ denormal1:
+ if (erv <= -51) {
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto undfl;
+ case 2: goto tiniest;
+ }
+#endif
+ if (erv < -51 || !(t00 & 0x3fffffffffffffffull))
+ goto undfl;
+ tiniest:
+ LLval(&rv) = 1;
+ Set_errno(ERANGE);
+ goto ret;
+ }
+ tg = 1ull << (11 - erv);
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround1_den;
+ case 2: goto roundup1_den;
+ }
+#endif
+ if (t00 & tg) {
+#ifdef Honor_FLT_ROUNDS
+ roundup1_den:
+#endif
+ if (0x8000000000000000ull & (t00 += (tg<<1)) && erv == 1) {
+
+ smallest_normal:
+ LLval(&rv) = 0x0010000000000000ull;
+ goto ret;
+ }
+ }
+#ifdef Honor_FLT_ROUNDS
+ noround1_den:
+#endif
+ if (erv <= -52)
+ goto undfl;
+ LLval(&rv) = t00 >> (12 - erv);
+ Set_errno(ERANGE);
+ goto ret;
+ }
+ if (bexact) {
+#ifdef SET_INEXACT
+ if (!(t00 & 0x3ff) && !(tlo & 0xffffffffull)) {
+ bc.inexact = 0;
+ goto noround1;
+ }
+#endif
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 2:
+ if (t00 & 0x3ff)
+ goto roundup1;
+ case 0: goto noround1;
+ }
+#endif
+ if (t00 & 0x200 && (t00 & 0x5ff || tlo))
+ goto roundup1;
+ goto noround1;
+ }
+ if ((tlo & 0xfffffff0) | (t00 & 0x1ff)
+ && (nd <= 19 || ((t00 + (1ull << i)) & 0x7ffffffffffffe00ull)
+ == (t00 & 0x7ffffffffffffe00ull))) {
+ /* Unambiguous result. */
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: goto noround1;
+ case 2: goto roundup1;
+ }
+#endif
+ if (t00 & 0x200) { /* round up */
+ roundup1:
+ t00 += 0x400;
+ if (!(t00 & 0x4000000000000000ull)) {
+ /* rounded up to a power of 2 */
+ if (erv >= 0x7ff)
+ goto ovfl;
+ terv = erv;
+ LLval(&rv) = terv << 52;
+ goto ret;
+ }
+ }
+ noround1:
+ if (erv >= 0x800)
+ goto ovfl;
+ terv = erv - 1;
+ LLval(&rv) = (terv << 52) | ((t00 & 0x3ffffffffffffc00ull) >> 10);
+ goto ret;
+ }
+ }
+ many_digits:
+ Debug(++dtoa_stats[2]);
+ if (nd > 17) {
+ if (nd > 18) {
+ yz /= 100;
+ e1 += 2;
+ }
+ else {
+ yz /= 10;
+ e1 += 1;
+ }
+ y = yz / 100000000;
+ }
+ else if (nd > 9) {
+ i = nd - 9;
+ y = (yz >> i) / pfive[i-1];
+ }
+ else
+ y = yz;
+ dval(&rv) = yz;
+#endif /*}*/
+
+#ifdef IEEE_Arith
+#ifdef Avoid_Underflow
+ bc.scale = 0;
+#endif
+#endif /*IEEE_Arith*/
+
+ /* Get starting approximation = rv * 10**e1 */
+
+ if (e1 > 0) {
+ if ((i = e1 & 15))
+ 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(bc.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
@@ -2847,15 +4151,13 @@ fpconv_strtod
#endif /*IEEE_Arith*/
range_err:
if (bd0) {
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(bd0);
- Bfree(delta);
+ Bfree(bb MTb);
+ Bfree(bd MTb);
+ Bfree(bs MTb);
+ Bfree(bd0 MTb);
+ Bfree(delta MTb);
}
-#ifndef NO_ERRNO
- errno = ERANGE;
-#endif
+ Set_errno(ERANGE);
goto ret;
}
e1 >>= 4;
@@ -2920,6 +4222,10 @@ fpconv_strtod
if (!dval(&rv)) {
undfl:
dval(&rv) = 0.;
+#ifdef Honor_FLT_ROUNDS
+ if (bc.rounding == 2)
+ word1(&rv) = 1;
+#endif
goto range_err;
}
#ifndef Avoid_Underflow
@@ -2969,13 +4275,13 @@ fpconv_strtod
}
}
#endif
- bd0 = s2b(s0, nd0, nd, y, bc.dplen);
+ bd0 = s2b(s0, nd0, nd, y, bc.dplen MTb);
for(;;) {
- bd = Balloc(bd0->k);
+ bd = Balloc(bd0->k MTb);
Bcopy(bd, bd0);
- bb = d2b(&rv, &bbe, &bbbits); /* rv = bb * 2^bbe */
- bs = i2b(1);
+ bb = d2b(&rv, &bbe, &bbbits MTb); /* rv = bb * 2^bbe */
+ bs = i2b(1 MTb);
if (e >= 0) {
bb2 = bb5 = 0;
@@ -3040,20 +4346,20 @@ fpconv_strtod
bs2 -= i;
}
if (bb5 > 0) {
- bs = pow5mult(bs, bb5);
- bb1 = mult(bs, bb);
- Bfree(bb);
+ bs = pow5mult(bs, bb5 MTb);
+ bb1 = mult(bs, bb MTb);
+ Bfree(bb MTb);
bb = bb1;
}
if (bb2 > 0)
- bb = lshift(bb, bb2);
+ bb = lshift(bb, bb2 MTb);
if (bd5 > 0)
- bd = pow5mult(bd, bd5);
+ bd = pow5mult(bd, bd5 MTb);
if (bd2 > 0)
- bd = lshift(bd, bd2);
+ bd = lshift(bd, bd2 MTb);
if (bs2 > 0)
- bs = lshift(bs, bs2);
- delta = diff(bb, bd);
+ bs = lshift(bs, bs2 MTb);
+ delta = diff(bb, bd MTb);
bc.dsign = delta->sign;
delta->sign = 0;
i = cmp(delta, bs);
@@ -3104,7 +4410,7 @@ fpconv_strtod
if (y)
#endif
{
- delta = lshift(delta,Log2P);
+ delta = lshift(delta,Log2P MTb);
if (cmp(delta, bs) <= 0)
adj.d = -0.5;
}
@@ -3196,7 +4502,7 @@ fpconv_strtod
#endif
break;
}
- delta = lshift(delta,Log2P);
+ delta = lshift(delta,Log2P MTb);
if (cmp(delta, bs) > 0)
goto drop_down;
break;
@@ -3406,8 +4712,7 @@ fpconv_strtod
goto undfl;
#else
{
- if (bc.nd > nd)
- bc.dsign = 1;
+ req_bigcomp = 1;
break;
}
#endif
@@ -3487,21 +4792,21 @@ fpconv_strtod
}
#endif
cont:
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(delta);
- }
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(bd0);
- Bfree(delta);
+ Bfree(bb MTb);
+ Bfree(bd MTb);
+ Bfree(bs MTb);
+ Bfree(delta MTb);
+ }
+ Bfree(bb MTb);
+ Bfree(bd MTb);
+ Bfree(bs MTb);
+ Bfree(bd0 MTb);
+ Bfree(delta MTb);
#ifndef NO_STRTOD_BIGCOMP
if (req_bigcomp) {
bd0 = 0;
bc.e0 += nz1;
- bigcomp(&rv, s0, &bc);
+ bigcomp(&rv, s0, &bc MTb);
y = word0(&rv) & Exp_mask;
if (y == Exp_mask)
goto ovfl;
@@ -3509,17 +4814,6 @@ fpconv_strtod
goto undfl;
}
#endif
-#ifdef SET_INEXACT
- if (bc.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 (bc.scale) {
word0(&rv0) = Exp_1 - 2*P*Exp_msk1;
@@ -3532,18 +4826,27 @@ fpconv_strtod
#else
if (word0(&rv) == 0 && word1(&rv) == 0)
#endif
- errno = ERANGE;
+ Set_errno(ERANGE);
#endif
}
#endif /* Avoid_Underflow */
+ ret:
#ifdef SET_INEXACT
- if (bc.inexact && !(word0(&rv) & Exp_mask)) {
- /* set underflow bit */
- dval(&rv0) = 1e-300;
- dval(&rv0) *= dval(&rv0);
+ if (bc.inexact) {
+ if (!(word0(&rv) & Exp_mask)) {
+ /* set underflow and inexact bits */
+ dval(&rv0) = 1e-300;
+ dval(&rv0) *= dval(&rv0);
+ }
+ else if (!oldinexact) {
+ word0(&rv0) = Exp_1 + (70 << Exp_shift);
+ word1(&rv0) = 0;
+ dval(&rv0) += 1.;
+ }
}
+ else if (!oldinexact)
+ clear_inexact();
#endif
- ret:
if (se)
*se = (char *)s;
return sign ? -dval(&rv) : dval(&rv);
@@ -3554,11 +4857,7 @@ fpconv_strtod
#endif
static char *
-#ifdef KR_headers
-rv_alloc(i) int i;
-#else
-rv_alloc(int i)
-#endif
+rv_alloc(int i MTd)
{
int j, k, *r;
@@ -3567,7 +4866,7 @@ rv_alloc(int i)
sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
j <<= 1)
k++;
- r = (int*)Balloc(k);
+ r = (int*)Balloc(k MTa);
*r = k;
return
#ifndef MULTIPLE_THREADS
@@ -3577,16 +4876,21 @@ rv_alloc(int i)
}
static char *
-#ifdef KR_headers
-nrv_alloc(s, rve, n) char *s, **rve; int n;
-#else
-nrv_alloc(const char *s, char **rve, int n)
-#endif
+nrv_alloc(const char *s, char *s0, size_t s0len, char **rve, int n MTd)
{
char *rv, *t;
- t = rv = rv_alloc(n);
- while((*t = *s++)) t++;
+ if (!s0)
+ s0 = rv_alloc(n MTa);
+ else if (s0len <= n) {
+ rv = 0;
+ t = rv + n;
+ goto rve_chk;
+ }
+ t = rv = s0;
+ while((*t = *s++))
+ ++t;
+ rve_chk:
if (rve)
*rve = t;
return rv;
@@ -3599,15 +4903,14 @@ nrv_alloc(const char *s, char **rve, int n)
*/
void
-#ifdef KR_headers
-freedtoa(s) char *s;
-#else
freedtoa(char *s)
-#endif
{
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI = 0;
+#endif
Bigint *b = (Bigint *)((int *)s - 1);
b->maxwds = 1 << (b->k = *(int*)b);
- Bfree(b);
+ Bfree(b MTb);
#ifndef MULTIPLE_THREADS
if (s == dtoa_result)
dtoa_result = 0;
@@ -3649,13 +4952,7 @@ freedtoa(char *s)
*/
char *
-dtoa
-#ifdef KR_headers
- (dd, mode, ndigits, decpt, sign, rve)
- double dd; int mode, ndigits, *decpt, *sign; char **rve;
-#else
- (double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
-#endif
+dtoa_r(double dd, int mode, int ndigits, int *decpt, int *sign, char **rve, char *buf, size_t blen)
{
/* Arguments ndigits, decpt, sign are similar to those
of ecvt and fcvt; trailing zeros are suppressed from
@@ -3687,30 +4984,52 @@ dtoa
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.
+ When not NULL, buf is an output buffer of length blen, which must
+ be large enough to accommodate suppressed trailing zeros and a trailing
+ null byte. If blen is too small, rv = NULL is returned, in which case
+ if rve is not NULL, a subsequent call with blen >= (*rve - rv) + 1
+ should succeed in returning buf.
+
+ When buf is NULL, sufficient space is allocated for the return value,
+ which, when done using, the caller should pass to freedtoa().
+
+ USE_BF is automatically defined when neither NO_LONG_LONG nor NO_BF96
+ is defined.
*/
- 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
+#ifdef MULTIPLE_THREADS
+ ThInfo *TI = 0;
+#endif
+ int bbits, b2, b5, be, dig, i, ilim, ilim1,
+ j, j1, k, leftright, m2, m5, s2, s5, spec_case;
+#if !defined(Sudden_Underflow) || defined(USE_BF96)
int denorm;
- ULong x;
#endif
Bigint *b, *b1, *delta, *mlo, *mhi, *S;
- U d2, eps, u;
+ U u;
+ char *s;
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+#ifdef USE_BF96 /*{{*/
+ BF96 *p10;
+ ULLong dbhi, dbits, dblo, den, hb, rb, rblo, res, res0, res3, reslo, sres,
+ sulp, tv0, tv1, tv2, tv3, ulp, ulplo, ulpmask, ures, ureslo, zb;
+ int eulp, k1, n2, ulpadj, ulpshift;
+#else /*}{*/
+#ifndef Sudden_Underflow
+ ULong x;
+#endif
+ Long L;
+ U d2, eps;
double ds;
- char *s, *s0;
+ int ieps, ilim0, k0, k_check, try_quick;
#ifndef No_leftright
#ifdef IEEE_Arith
U eps1;
#endif
#endif
-#ifdef SET_INEXACT
- int inexact, oldinexact;
-#endif
+#endif /*}}*/
#ifdef Honor_FLT_ROUNDS /*{*/
int Rounding;
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
@@ -3725,13 +5044,6 @@ dtoa
#endif /*}}*/
#endif /*}*/
-#ifndef MULTIPLE_THREADS
- if (dtoa_result) {
- freedtoa(dtoa_result);
- dtoa_result = 0;
- }
-#endif
-
u.d = dd;
if (word0(&u) & Sign_bit) {
/* set sign for everything, including 0's and NaNs */
@@ -3752,9 +5064,9 @@ dtoa
*decpt = 9999;
#ifdef IEEE_Arith
if (!word1(&u) && !(word0(&u) & 0xfffff))
- return nrv_alloc("Infinity", rve, 8);
+ return nrv_alloc("Infinity", buf, blen, rve, 8 MTb);
#endif
- return nrv_alloc("NaN", rve, 3);
+ return nrv_alloc("NaN", buf, blen, rve, 3 MTb);
}
#endif
#ifdef IBM
@@ -3762,11 +5074,14 @@ dtoa
#endif
if (!dval(&u)) {
*decpt = 1;
- return nrv_alloc("0", rve, 1);
+ return nrv_alloc("0", buf, blen, rve, 1 MTb);
}
#ifdef SET_INEXACT
- try_quick = oldinexact = get_inexact();
+#ifndef USE_BF96
+ try_quick =
+#endif
+ oldinexact = get_inexact();
inexact = 1;
#endif
#ifdef Honor_FLT_ROUNDS
@@ -3778,8 +5093,58 @@ dtoa
Rounding = 0;
}
#endif
+#ifdef USE_BF96 /*{{*/
+ dbits = (u.LL & 0xfffffffffffffull) << 11; /* fraction bits */
+ if ((be = u.LL >> 52)) /* biased exponent; nonzero ==> normal */ {
+ dbits |= 0x8000000000000000ull;
+ denorm = ulpadj = 0;
+ }
+ else {
+ denorm = 1;
+ ulpadj = be + 1;
+ dbits <<= 1;
+ if (!(dbits & 0xffffffff00000000ull)) {
+ dbits <<= 32;
+ be -= 32;
+ }
+ if (!(dbits & 0xffff000000000000ull)) {
+ dbits <<= 16;
+ be -= 16;
+ }
+ if (!(dbits & 0xff00000000000000ull)) {
+ dbits <<= 8;
+ be -= 8;
+ }
+ if (!(dbits & 0xf000000000000000ull)) {
+ dbits <<= 4;
+ be -= 4;
+ }
+ if (!(dbits & 0xc000000000000000ull)) {
+ dbits <<= 2;
+ be -= 2;
+ }
+ if (!(dbits & 0x8000000000000000ull)) {
+ dbits <<= 1;
+ be -= 1;
+ }
+ assert(be >= -51);
+ ulpadj -= be;
+ }
+ j = Lhint[be + 51];
+ p10 = &pten[j];
+ dbhi = dbits >> 32;
+ dblo = dbits & 0xffffffffull;
+ i = be - 0x3fe;
+ if (i < p10->e
+ || (i == p10->e && (dbhi < p10->b0 || (dbhi == p10->b0 && dblo < p10->b1))))
+ --j;
+ k = j - 342;
+
+ /* now 10^k <= dd < 10^(k+1) */
- b = d2b(&u, &be, &bbits);
+#else /*}{*/
+
+ b = d2b(&u, &be, &bbits MTb);
#ifdef Sudden_Underflow
i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
@@ -3864,20 +5229,23 @@ dtoa
b5 = -k;
s5 = 0;
}
+#endif /*}}*/
if (mode < 0 || mode > 9)
mode = 0;
+#ifndef USE_BF96
#ifndef SET_INEXACT
#ifdef Check_FLT_ROUNDS
try_quick = Rounding == 1;
-#else
- try_quick = 1;
#endif
#endif /*SET_INEXACT*/
+#endif
if (mode > 5) {
mode -= 4;
+#ifndef USE_BF96
try_quick = 0;
+#endif
}
leftright = 1;
ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
@@ -3906,20 +5274,490 @@ dtoa
if (i <= 0)
i = 1;
}
- s = s0 = rv_alloc(i);
+ if (!buf) {
+ buf = rv_alloc(i MTb);
+ blen = sizeof(Bigint) + ((1 << ((int*)buf)[-1]) - 1)*sizeof(ULong) - sizeof(int);
+ }
+ else if (blen <= i) {
+ buf = 0;
+ if (rve)
+ *rve = buf + i;
+ return buf;
+ }
+ s = buf;
+
+ /* 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(&u) && !(word0(&u) & Bndry_mask)
+#ifndef Sudden_Underflow
+ && word0(&u) & (Exp_mask & ~Exp_msk1)
+#endif
+ ) {
+ /* The special case */
+ spec_case = 1;
+ }
+ }
+
+#ifdef USE_BF96 /*{*/
+ b = 0;
+ if (ilim < 0 && (mode == 3 || mode == 5)) {
+ S = mhi = 0;
+ goto no_digits;
+ }
+ i = 1;
+ j = 52 + 0x3ff - be;
+ ulpshift = 0;
+ ulplo = 0;
+ /* Can we do an exact computation with 64-bit integer arithmetic? */
+ if (k < 0) {
+ if (k < -25)
+ goto toobig;
+ res = dbits >> 11;
+ n2 = pfivebits[k1 = -(k + 1)] + 53;
+ j1 = j;
+ if (n2 > 61) {
+ ulpshift = n2 - 61;
+ if (res & (ulpmask = (1ull << ulpshift) - 1))
+ goto toobig;
+ j -= ulpshift;
+ res >>= ulpshift;
+ }
+ /* Yes. */
+ res *= ulp = pfive[k1];
+ if (ulpshift) {
+ ulplo = ulp;
+ ulp >>= ulpshift;
+ }
+ j += k;
+ if (ilim == 0) {
+ S = mhi = 0;
+ if (res > (5ull << j))
+ goto one_digit;
+ goto no_digits;
+ }
+ goto no_div;
+ }
+ if (ilim == 0 && j + k >= 0) {
+ S = mhi = 0;
+ if ((dbits >> 11) > (pfive[k-1] << j))
+ goto one_digit;
+ goto no_digits;
+ }
+ if (k <= dtoa_divmax && j + k >= 0) {
+ /* Another "yes" case -- we will use exact integer arithmetic. */
+ use_exact:
+ Debug(++dtoa_stats[3]);
+ res = dbits >> 11; /* residual */
+ ulp = 1;
+ if (k <= 0)
+ goto no_div;
+ j1 = j + k + 1;
+ den = pfive[k-i] << (j1 - i);
+ for(;;) {
+ dig = res / den;
+ *s++ = '0' + dig;
+ if (!(res -= dig*den)) {
+#ifdef SET_INEXACT
+ inexact = 0;
+ oldinexact = 1;
+#endif
+ goto retc;
+ }
+ if (ilim < 0) {
+ ures = den - res;
+ if (2*res <= ulp
+ && (spec_case ? 4*res <= ulp : (2*res < ulp || dig & 1)))
+ goto ulp_reached;
+ if (2*ures < ulp)
+ goto Roundup;
+ }
+ else if (i == ilim) {
+ switch(Rounding) {
+ case 0: goto retc;
+ case 2: goto Roundup;
+ }
+ ures = 2*res;
+ if (ures > den
+ || (ures == den && dig & 1)
+ || (spec_case && res <= ulp && 2*res >= ulp))
+ goto Roundup;
+ goto retc;
+ }
+ if (j1 < ++i) {
+ res *= 10;
+ ulp *= 10;
+ }
+ else {
+ if (i > k)
+ break;
+ den = pfive[k-i] << (j1 - i);
+ }
+ }
+ no_div:
+ for(;;) {
+ dig = den = res >> j;
+ *s++ = '0' + dig;
+ if (!(res -= den << j)) {
+#ifdef SET_INEXACT
+ inexact = 0;
+ oldinexact = 1;
+#endif
+ goto retc;
+ }
+ if (ilim < 0) {
+ ures = (1ull << j) - res;
+ if (2*res <= ulp
+ && (spec_case ? 4*res <= ulp : (2*res < ulp || dig & 1))) {
+ ulp_reached:
+ if (ures < res
+ || (ures == res && dig & 1))
+ goto Roundup;
+ goto retc;
+ }
+ if (2*ures < ulp)
+ goto Roundup;
+ }
+ --j;
+ if (i == ilim) {
+#ifdef Honor_FLT_ROUNDS
+ switch(Rounding) {
+ case 0: goto retc;
+ case 2: goto Roundup;
+ }
+#endif
+ hb = 1ull << j;
+ if (res & hb && (dig & 1 || res & (hb-1)))
+ goto Roundup;
+ if (spec_case && res <= ulp && 2*res >= ulp) {
+ Roundup:
+ while(*--s == '9')
+ if (s == buf) {
+ ++k;
+ *s++ = '1';
+ goto ret1;
+ }
+ ++*s++;
+ goto ret1;
+ }
+ goto retc;
+ }
+ ++i;
+ res *= 5;
+ if (ulpshift) {
+ ulplo = 5*(ulplo & ulpmask);
+ ulp = 5*ulp + (ulplo >> ulpshift);
+ }
+ else
+ ulp *= 5;
+ }
+ }
+ toobig:
+ if (ilim > 28)
+ goto Fast_failed1;
+ /* Scale by 10^-k */
+ p10 = &pten[342-k];
+ tv0 = p10->b2 * dblo; /* rarely matters, but does, e.g., for 9.862818194192001e18 */
+ tv1 = p10->b1 * dblo + (tv0 >> 32);
+ tv2 = p10->b2 * dbhi + (tv1 & 0xffffffffull);
+ tv3 = p10->b0 * dblo + (tv1>>32) + (tv2>>32);
+ res3 = p10->b1 * dbhi + (tv3 & 0xffffffffull);
+ res = p10->b0 * dbhi + (tv3>>32) + (res3>>32);
+ be += p10->e - 0x3fe;
+ eulp = j1 = be - 54 + ulpadj;
+ if (!(res & 0x8000000000000000ull)) {
+ --be;
+ res3 <<= 1;
+ res = (res << 1) | ((res3 & 0x100000000ull) >> 32);
+ }
+ res0 = res; /* save for Fast_failed */
+#if !defined(SET_INEXACT) && !defined(NO_DTOA_64) /*{*/
+ if (ilim > 19)
+ goto Fast_failed;
+ Debug(++dtoa_stats[4]);
+ assert(be >= 0 && be <= 4); /* be = 0 is rare, but possible, e.g., for 1e20 */
+ res >>= 4 - be;
+ ulp = p10->b0; /* ulp */
+ ulp = (ulp << 29) | (p10->b1 >> 3);
+ /* scaled ulp = ulp * 2^(eulp - 60) */
+ /* We maintain 61 bits of the scaled ulp. */
+ if (ilim == 0) {
+ if (!(res & 0x7fffffffffffffeull)
+ || !((~res) & 0x7fffffffffffffeull))
+ goto Fast_failed1;
+ S = mhi = 0;
+ if (res >= 0x5000000000000000ull)
+ goto one_digit;
+ goto no_digits;
+ }
+ rb = 1; /* upper bound on rounding error */
+ for(;;++i) {
+ dig = res >> 60;
+ *s++ = '0' + dig;
+ res &= 0xfffffffffffffffull;
+ if (ilim < 0) {
+ ures = 0x1000000000000000ull - res;
+ if (eulp > 0) {
+ assert(eulp <= 4);
+ sulp = ulp << (eulp - 1);
+ if (res <= ures) {
+ if (res + rb > ures - rb)
+ goto Fast_failed;
+ if (res < sulp)
+ goto retc;
+ }
+ else {
+ if (res - rb <= ures + rb)
+ goto Fast_failed;
+ if (ures < sulp)
+ goto Roundup;
+ }
+ }
+ else {
+ zb = -(1ull << (eulp + 63));
+ if (!(zb & res)) {
+ sres = res << (1 - eulp);
+ if (sres < ulp && (!spec_case || 2*sres < ulp)) {
+ if ((res+rb) << (1 - eulp) >= ulp)
+ goto Fast_failed;
+ if (ures < res) {
+ if (ures + rb >= res - rb)
+ goto Fast_failed;
+ goto Roundup;
+ }
+ if (ures - rb < res + rb)
+ goto Fast_failed;
+ goto retc;
+ }
+ }
+ if (!(zb & ures) && ures << -eulp < ulp) {
+ if (ures << (1 - eulp) < ulp)
+ goto Roundup;
+ goto Fast_failed;
+ }
+ }
+ }
+ else if (i == ilim) {
+ ures = 0x1000000000000000ull - res;
+ if (ures < res) {
+ if (ures <= rb || res - rb <= ures + rb) {
+ if (j + k >= 0 && k >= 0 && k <= 27)
+ goto use_exact1;
+ goto Fast_failed;
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (Rounding == 0)
+ goto retc;
+#endif
+ goto Roundup;
+ }
+ if (res <= rb || ures - rb <= res + rb) {
+ if (j + k >= 0 && k >= 0 && k <= 27) {
+ use_exact1:
+ s = buf;
+ i = 1;
+ goto use_exact;
+ }
+ goto Fast_failed;
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (Rounding == 2)
+ goto Roundup;
+#endif
+ goto retc;
+ }
+ rb *= 10;
+ if (rb >= 0x1000000000000000ull)
+ goto Fast_failed;
+ res *= 10;
+ ulp *= 5;
+ if (ulp & 0x8000000000000000ull) {
+ eulp += 4;
+ ulp >>= 3;
+ }
+ else {
+ eulp += 3;
+ ulp >>= 2;
+ }
+ }
+#endif /*}*/
+#ifndef NO_BF96
+ Fast_failed:
+#endif
+ Debug(++dtoa_stats[5]);
+ s = buf;
+ i = 4 - be;
+ res = res0 >> i;
+ reslo = 0xffffffffull & res3;
+ if (i)
+ reslo = (res0 << (64 - i)) >> 32 | (reslo >> i);
+ rb = 0;
+ rblo = 4; /* roundoff bound */
+ ulp = p10->b0; /* ulp */
+ ulp = (ulp << 29) | (p10->b1 >> 3);
+ eulp = j1;
+ for(i = 1;;++i) {
+ dig = res >> 60;
+ *s++ = '0' + dig;
+ res &= 0xfffffffffffffffull;
+#ifdef SET_INEXACT
+ if (!res && !reslo) {
+ if (!(res3 & 0xffffffffull)) {
+ inexact = 0;
+ oldinexact = 1;
+ }
+ goto retc;
+ }
+#endif
+ if (ilim < 0) {
+ ures = 0x1000000000000000ull - res;
+ ureslo = 0;
+ if (reslo) {
+ ureslo = 0x100000000ull - reslo;
+ --ures;
+ }
+ if (eulp > 0) {
+ assert(eulp <= 4);
+ sulp = (ulp << (eulp - 1)) - rb;
+ if (res <= ures) {
+ if (res < sulp) {
+ if (res+rb < ures-rb)
+ goto retc;
+ }
+ }
+ else if (ures < sulp) {
+ if (res-rb > ures+rb)
+ goto Roundup;
+ }
+ goto Fast_failed1;
+ }
+ else {
+ zb = -(1ull << (eulp + 60));
+ if (!(zb & (res + rb))) {
+ sres = (res - rb) << (1 - eulp);
+ if (sres < ulp && (!spec_case || 2*sres < ulp)) {
+ sres = res << (1 - eulp);
+ if ((j = eulp + 31) > 0)
+ sres += (rblo + reslo) >> j;
+ else
+ sres += (rblo + reslo) << -j;
+ if (sres + (rb << (1 - eulp)) >= ulp)
+ goto Fast_failed1;
+ if (sres >= ulp)
+ goto more96;
+ if (ures < res
+ || (ures == res && ureslo < reslo)) {
+ if (ures + rb >= res - rb)
+ goto Fast_failed1;
+ goto Roundup;
+ }
+ if (ures - rb <= res + rb)
+ goto Fast_failed1;
+ goto retc;
+ }
+ }
+ if (!(zb & ures) && (ures-rb) << (1 - eulp) < ulp) {
+ if ((ures + rb) << (1 - eulp) < ulp)
+ goto Roundup;
+ goto Fast_failed1;
+ }
+ }
+ }
+ else if (i == ilim) {
+ ures = 0x1000000000000000ull - res;
+ sres = ureslo = 0;
+ if (reslo) {
+ ureslo = 0x100000000ull - reslo;
+ --ures;
+ sres = (reslo + rblo) >> 31;
+ }
+ sres += 2*rb;
+ if (ures <= res) {
+ if (ures <=sres || res - ures <= sres)
+ goto Fast_failed1;
+#ifdef Honor_FLT_ROUNDS
+ if (Rounding == 0)
+ goto retc;
+#endif
+ goto Roundup;
+ }
+ if (res <= sres || ures - res <= sres)
+ goto Fast_failed1;
+#ifdef Honor_FLT_ROUNDS
+ if (Rounding == 2)
+ goto Roundup;
+#endif
+ goto retc;
+ }
+ more96:
+ rblo *= 10;
+ rb = 10*rb + (rblo >> 32);
+ rblo &= 0xffffffffull;
+ if (rb >= 0x1000000000000000ull)
+ goto Fast_failed1;
+ reslo *= 10;
+ res = 10*res + (reslo >> 32);
+ reslo &= 0xffffffffull;
+ ulp *= 5;
+ if (ulp & 0x8000000000000000ull) {
+ eulp += 4;
+ ulp >>= 3;
+ }
+ else {
+ eulp += 3;
+ ulp >>= 2;
+ }
+ }
+ Fast_failed1:
+ Debug(++dtoa_stats[6]);
+ S = mhi = mlo = 0;
+#ifdef USE_BF96
+ b = d2b(&u, &be, &bbits MTb);
+#endif
+ s = buf;
+ i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
+ i -= Bias;
+ if (ulpadj)
+ i -= ulpadj - 1;
+ 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;
+ }
+#endif /*}*/
#ifdef Honor_FLT_ROUNDS
if (mode > 1 && Rounding != 1)
leftright = 0;
#endif
+#ifndef USE_BF96 /*{*/
if (ilim >= 0 && ilim <= Quick_max && try_quick) {
/* Try to get by with floating-point arithmetic. */
i = 0;
dval(&d2) = dval(&u);
- k0 = k;
+ j1 = -(k0 = k);
ilim0 = ilim;
ieps = 2; /* conservative */
if (k > 0) {
@@ -3938,7 +5776,7 @@ dtoa
}
dval(&u) /= ds;
}
- else if ((j1 = -k)) {
+ else if (j1 > 0) {
dval(&u) *= tens[j1 & 0xf];
for(j = j1 >> 4; j; j >>= 1, i++)
if (j & 1) {
@@ -3972,7 +5810,7 @@ dtoa
*/
dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
#ifdef IEEE_Arith
- if (k0 < 0 && j1 >= 307) {
+ if (j1 >= 307) {
eps1.d = 1.01e256; /* 1.01 allows roundoff in the next few lines */
word0(&eps1) -= Exp_msk1 * (Bias+P-1);
dval(&eps1) *= tens[j1 & 0xf];
@@ -3981,6 +5819,12 @@ dtoa
dval(&eps1) *= bigtens[i];
if (eps.d < eps1.d)
eps.d = eps1.d;
+ if (10. - u.d < 10.*eps.d && eps.d < 1.) {
+ /* eps.d < 1. excludes trouble with the tiniest denormal */
+ *s++ = '1';
+ ++k;
+ goto ret1;
+ }
}
#endif
for(i = 0;;) {
@@ -3990,7 +5834,7 @@ dtoa
if (1. - dval(&u) < dval(&eps))
goto bump_up;
if (dval(&u) < dval(&eps))
- goto ret1;
+ goto retc;
if (++i >= ilim)
break;
dval(&eps) *= 10.;
@@ -4009,11 +5853,8 @@ dtoa
if (i == ilim) {
if (dval(&u) > 0.5 + dval(&eps))
goto bump_up;
- else if (dval(&u) < 0.5 - dval(&eps)) {
- while(*--s == '0');
- s++;
- goto ret1;
- }
+ else if (dval(&u) < 0.5 - dval(&eps))
+ goto retc;
break;
}
}
@@ -4021,7 +5862,7 @@ dtoa
}
#endif
fast_failed:
- s = s0;
+ s = buf;
dval(&u) = dval(&d2);
k = k0;
ilim = ilim0;
@@ -4059,7 +5900,7 @@ dtoa
#ifdef Honor_FLT_ROUNDS
if (mode > 1)
switch(Rounding) {
- case 0: goto ret1;
+ case 0: goto retc;
case 2: goto bump_up;
}
#endif
@@ -4072,7 +5913,7 @@ dtoa
{
bump_up:
while(*--s == '9')
- if (s == s0) {
+ if (s == buf) {
k++;
*s = '0';
break;
@@ -4082,9 +5923,10 @@ dtoa
break;
}
}
- goto ret1;
+ goto retc;
}
+#endif /*}*/
m2 = b2;
m5 = b5;
mhi = mlo = 0;
@@ -4100,7 +5942,7 @@ dtoa
#endif
b2 += i;
s2 += i;
- mhi = i2b(1);
+ mhi = i2b(1 MTb);
}
if (m2 > 0 && s2 > 0) {
i = m2 < s2 ? m2 : s2;
@@ -4111,39 +5953,24 @@ dtoa
if (b5 > 0) {
if (leftright) {
if (m5 > 0) {
- mhi = pow5mult(mhi, m5);
- b1 = mult(mhi, b);
- Bfree(b);
+ mhi = pow5mult(mhi, m5 MTb);
+ b1 = mult(mhi, b MTb);
+ Bfree(b MTb);
b = b1;
}
if ((j = b5 - m5))
- b = pow5mult(b, j);
+ b = pow5mult(b, j MTb);
}
else
- b = pow5mult(b, b5);
+ b = pow5mult(b, b5 MTb);
}
- S = i2b(1);
+ S = i2b(1 MTb);
if (s5 > 0)
- S = pow5mult(S, s5);
-
- /* Check for special case that d is a normalized power of 2. */
+ S = pow5mult(S, s5 MTb);
- spec_case = 0;
- if ((mode < 2 || leftright)
-#ifdef Honor_FLT_ROUNDS
- && Rounding == 1
-#endif
- ) {
- if (!word1(&u) && !(word0(&u) & Bndry_mask)
-#ifndef Sudden_Underflow
- && word0(&u) & (Exp_mask & ~Exp_msk1)
-#endif
- ) {
- /* The special case */
- b2 += Log2P;
- s2 += Log2P;
- spec_case = 1;
- }
+ if (spec_case) {
+ b2 += Log2P;
+ s2 += Log2P;
}
/* Arrange for convenient computation of quotients:
@@ -4158,20 +5985,22 @@ dtoa
m2 += i;
s2 += i;
if (b2 > 0)
- b = lshift(b, b2);
+ b = lshift(b, b2 MTb);
if (s2 > 0)
- S = lshift(S, s2);
+ S = lshift(S, s2 MTb);
+#ifndef USE_BF96
if (k_check) {
if (cmp(b,S) < 0) {
k--;
- b = multadd(b, 10, 0); /* we botched the k estimate */
+ b = multadd(b, 10, 0 MTb); /* we botched the k estimate */
if (leftright)
- mhi = multadd(mhi, 10, 0);
+ mhi = multadd(mhi, 10, 0 MTb);
ilim = ilim1;
}
}
+#endif
if (ilim <= 0 && (mode == 3 || mode == 5)) {
- if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
+ if (ilim < 0 || cmp(b,S = multadd(S,5,0 MTb)) <= 0) {
/* no digits, fcvt style */
no_digits:
k = -1 - ndigits;
@@ -4179,12 +6008,12 @@ dtoa
}
one_digit:
*s++ = '1';
- k++;
+ ++k;
goto ret;
}
if (leftright) {
if (m2 > 0)
- mhi = lshift(mhi, m2);
+ mhi = lshift(mhi, m2 MTb);
/* Compute mlo -- check for special case
* that d is a normalized power of 2.
@@ -4192,9 +6021,9 @@ dtoa
mlo = mhi;
if (spec_case) {
- mhi = Balloc(mhi->k);
+ mhi = Balloc(mhi->k MTb);
Bcopy(mhi, mlo);
- mhi = lshift(mhi, Log2P);
+ mhi = lshift(mhi, Log2P MTb);
}
for(i = 1;;i++) {
@@ -4203,13 +6032,13 @@ dtoa
* that will round to d?
*/
j = cmp(b, mlo);
- delta = diff(S, mhi);
+ delta = diff(S, mhi MTb);
j1 = delta->sign ? 1 : cmp(b, delta);
- Bfree(delta);
+ Bfree(delta MTb);
#ifndef ROUND_BIASED
if (j1 == 0 && mode != 1 && !(word1(&u) & 1)
#ifdef Honor_FLT_ROUNDS
- && Rounding >= 1
+ && (mode <= 1 || Rounding >= 1)
#endif
) {
if (dig == '9')
@@ -4243,7 +6072,7 @@ dtoa
}
#endif /*Honor_FLT_ROUNDS*/
if (j1 > 0) {
- b = lshift(b, 1);
+ b = lshift(b, 1 MTb);
j1 = cmp(b, S);
#ifdef ROUND_BIASED
if (j1 >= 0 /*)*/
@@ -4259,7 +6088,7 @@ dtoa
}
if (j1 > 0) {
#ifdef Honor_FLT_ROUNDS
- if (!Rounding)
+ if (!Rounding && mode > 1)
goto accept_dig;
#endif
if (dig == '9') { /* possible if i == 1 */
@@ -4276,18 +6105,19 @@ dtoa
*s++ = dig;
if (i == ilim)
break;
- b = multadd(b, 10, 0);
+ b = multadd(b, 10, 0 MTb);
if (mlo == mhi)
- mlo = mhi = multadd(mhi, 10, 0);
+ mlo = mhi = multadd(mhi, 10, 0 MTb);
else {
- mlo = multadd(mlo, 10, 0);
- mhi = multadd(mhi, 10, 0);
+ mlo = multadd(mlo, 10, 0 MTb);
+ mhi = multadd(mhi, 10, 0 MTb);
}
}
}
else
for(i = 1;; i++) {
- *s++ = dig = quorem(b,S) + '0';
+ dig = quorem(b,S) + '0';
+ *s++ = dig;
if (!b->x[0] && b->wds <= 1) {
#ifdef SET_INEXACT
inexact = 0;
@@ -4296,18 +6126,19 @@ dtoa
}
if (i >= ilim)
break;
- b = multadd(b, 10, 0);
+ b = multadd(b, 10, 0 MTb);
}
/* Round off last digit */
#ifdef Honor_FLT_ROUNDS
- switch(Rounding) {
- case 0: goto trimzeros;
- case 2: goto roundoff;
- }
+ if (mode > 1)
+ switch(Rounding) {
+ case 0: goto ret;
+ case 2: goto roundoff;
+ }
#endif
- b = lshift(b, 1);
+ b = lshift(b, 1 MTb);
j = cmp(b, S);
#ifdef ROUND_BIASED
if (j >= 0)
@@ -4317,28 +6148,30 @@ dtoa
{
roundoff:
while(*--s == '9')
- if (s == s0) {
+ if (s == buf) {
k++;
*s++ = '1';
goto ret;
}
++*s++;
}
- else {
-#ifdef Honor_FLT_ROUNDS
- trimzeros:
-#endif
- while(*--s == '0');
- s++;
- }
ret:
- Bfree(S);
+ Bfree(S MTb);
if (mhi) {
if (mlo && mlo != mhi)
- Bfree(mlo);
- Bfree(mhi);
+ Bfree(mlo MTb);
+ Bfree(mhi MTb);
}
+ retc:
+ while(s > buf && s[-1] == '0')
+ --s;
ret1:
+ if (b)
+ Bfree(b MTb);
+ *s = 0;
+ *decpt = k + 1;
+ if (rve)
+ *rve = s;
#ifdef SET_INEXACT
if (inexact) {
if (!oldinexact) {
@@ -4350,13 +6183,23 @@ dtoa
else if (!oldinexact)
clear_inexact();
#endif
- Bfree(b);
- *s = 0;
- *decpt = k + 1;
- if (rve)
- *rve = s;
- return s0;
+ return buf;
+ }
+
+ char *
+dtoa(double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
+{
+ /* Sufficient space is allocated to the return value
+ to hold the suppressed trailing zeros.
+ See dtoa_r() above for details on the other arguments.
+ */
+#ifndef MULTIPLE_THREADS
+ if (dtoa_result)
+ freedtoa(dtoa_result);
+#endif
+ return dtoa_r(dd, mode, ndigits, decpt, sign, rve, 0, 0);
}
+
#ifdef __cplusplus
}
#endif
diff --git a/dtoa_config.h b/dtoa_config.h
index 380e83b..c168e28 100644
--- a/dtoa_config.h
+++ b/dtoa_config.h
@@ -24,7 +24,7 @@
#define IEEE_8087
#endif
-#define MALLOC(n) xmalloc(n)
+#define MALLOC xmalloc
static void *xmalloc(size_t size)
{
@@ -50,6 +50,10 @@ static pthread_mutex_t private_dtoa_lock[2] = {
PTHREAD_MUTEX_INITIALIZER
};
+#define dtoa_get_threadno pthread_self
+void
+set_max_dtoa_threads(unsigned int n);
+
#define ACQUIRE_DTOA_LOCK(n) do { \
int r = pthread_mutex_lock(&private_dtoa_lock[n]); \
if (r) { \
diff --git a/fpconv.h b/fpconv.h
index 59e0867..5d9d95e 100644
--- a/fpconv.h
+++ b/fpconv.h
@@ -7,10 +7,20 @@
# define FPCONV_G_FMT_BUFSIZE 32
#ifdef USE_INTERNAL_FPCONV
-static inline void fpconv_init(void)
+#ifdef MULTIPLE_THREADS
+#include "dtoa_config.h"
+#include <unistd.h>
+static inline void fpconv_init()
+{
+ // Add one to try and avoid core id multiplier alignment
+ set_max_dtoa_threads((sysconf(_SC_NPROCESSORS_CONF) + 1) * 3);
+}
+#else
+static inline void fpconv_init()
{
/* Do nothing - not required */
}
+#endif
#else
extern void fpconv_init(void);
#endif
diff --git a/runtests.sh b/runtests.sh
index fe606fa..1c51236 100755
--- a/runtests.sh
+++ b/runtests.sh
@@ -67,6 +67,16 @@ if [ -z "$SKIP_CMAKE" ]; then
cp -r lua/cjson build/cjson.so tests
do_tests
rm -rf build tests/cjson{,.so}
+
+ echo "===== Testing Cmake fpconv build ====="
+ mkdir build
+ cd build
+ cmake -DUSE_INTERNAL_FPCONV=1 ..
+ make
+ cd ..
+ cp -r lua/cjson build/cjson.so tests
+ do_tests
+ rm -rf build tests/cjson{,.so}
else
echo "===== Skipping Cmake build ====="
fi
--
cgit v1.2.3-55-g6feb