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authorAlexey Kopytov <Alexey.Kopytov@Sun.com>2009-12-22 19:23:13 +0300
committerAlexey Kopytov <Alexey.Kopytov@Sun.com>2009-12-22 19:23:13 +0300
commit12f364ece7663663cabdc29f106ca69af63fe4e7 (patch)
tree40437c602d2a9ddaa03a54742cec4884f0974253
parentd4f23f0cf6db38731a161c5c7b0b056fc67e5c02 (diff)
downloadmariadb-git-12f364ece7663663cabdc29f106ca69af63fe4e7.tar.gz
Backport of WL #2934: Make/find library for doing float/double
to string conversions and vice versa" Initial import of the dtoa.c code and custom wrappers around it to allow its usage from the server code. Conversion of FLOAT/DOUBLE values to DECIMAL ones or strings and vice versa has been significantly reworked. As the new algoritms are more precise than the older ones, results of such conversions may not always match those obtained from older server versions. This in turn may break compatibility for some applications. This patch also fixes the following bugs: - bug #12860 "Difference in zero padding of exponent between Unix and Windows" - bug #21497 "DOUBLE truncated to unusable value" - bug #26788 "mysqld (debug) aborts when inserting specific numbers into char fields" - bug #24541 "Data truncated..." on decimal type columns without any good reason"
-rwxr-xr-xCMakeLists.txt8
-rw-r--r--client/Makefile.am2
-rw-r--r--client/sql_string.cc80
-rw-r--r--configure.in17
-rw-r--r--include/m_string.h37
-rwxr-xr-xlibmysql/CMakeLists.txt4
-rw-r--r--libmysql/Makefile.shared4
-rw-r--r--libmysql/libmysql.c54
-rw-r--r--mysql-test/r/archive_gis.result8
-rw-r--r--mysql-test/r/cast.result10
-rw-r--r--mysql-test/r/func_group.result18
-rw-r--r--mysql-test/r/func_math.result34
-rw-r--r--mysql-test/r/func_str.result4
-rw-r--r--mysql-test/r/gis.result12
-rw-r--r--mysql-test/r/innodb_gis.result8
-rw-r--r--mysql-test/r/insert.result70
-rw-r--r--mysql-test/r/loaddata.result6
-rw-r--r--mysql-test/r/mysqldump.result2
-rw-r--r--mysql-test/r/parser.result4
-rw-r--r--mysql-test/r/ps_2myisam.result74
-rw-r--r--mysql-test/r/ps_3innodb.result74
-rw-r--r--mysql-test/r/ps_4heap.result68
-rw-r--r--mysql-test/r/ps_5merge.result148
-rw-r--r--mysql-test/r/select.result14
-rw-r--r--mysql-test/r/sp.result20
-rw-r--r--mysql-test/r/strict.result14
-rw-r--r--mysql-test/r/type_decimal.result12
-rw-r--r--mysql-test/r/type_float.result82
-rw-r--r--mysql-test/r/type_newdecimal.result124
-rw-r--r--mysql-test/r/variables.result2
-rw-r--r--mysql-test/r/view.result2
-rw-r--r--mysql-test/std_data/ndb_backup51_data_be/BACKUP-1-0.1.Databin43068 -> 43068 bytes
-rw-r--r--mysql-test/std_data/ndb_backup51_data_le/BACKUP-1-0.2.Databin49556 -> 49556 bytes
-rw-r--r--mysql-test/suite/ndb/r/ndb_gis.result16
-rw-r--r--mysql-test/suite/ndb/r/ndb_restore_different_endian_data.result4
-rw-r--r--mysql-test/suite/ndb/r/ps_7ndb.result74
-rw-r--r--mysql-test/t/cast.test2
-rw-r--r--mysql-test/t/gis.test3
-rw-r--r--mysql-test/t/insert.test6
-rw-r--r--mysql-test/t/mysqldump.test3
-rw-r--r--mysql-test/t/parser.test4
-rw-r--r--mysql-test/t/type_decimal.test12
-rw-r--r--mysql-test/t/type_float.test33
-rw-r--r--mysql-test/t/type_newdecimal.test6
-rw-r--r--sql/field.cc243
-rw-r--r--sql/item.cc13
-rw-r--r--sql/log_event.cc6
-rw-r--r--sql/mysql_priv.h1
-rw-r--r--sql/mysqld.cc65
-rw-r--r--sql/spatial.cc23
-rw-r--r--sql/sql_show.cc3
-rw-r--r--sql/sql_string.cc80
-rw-r--r--sql/unireg.h1
-rwxr-xr-xstrings/CMakeLists.txt4
-rw-r--r--strings/Makefile.am6
-rw-r--r--strings/decimal.c45
-rw-r--r--strings/dtoa.c2780
-rw-r--r--strings/strtod.c236
58 files changed, 3526 insertions, 1159 deletions
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 6e8c7db3c2a..4a02a5ca0a9 100755
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -107,6 +107,14 @@ IF(CMAKE_GENERATOR MATCHES "Visual Studio 7")
MESSAGE("Warning: Building MySQL with Visual Studio 2003.NET is no more supported.")
MESSAGE("Please use a newer version of Visual Studio.")
SET(WITHOUT_DYNAMIC_PLUGINS TRUE)
+
+ # VS2003 needs the /Op compiler option to disable floating point optimizations
+ SET(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} /Op")
+ SET(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE} /Op")
+ SET(CMAKE_CXX_FLAGS_RELWITHDEBINFO "${CMAKE_CXX_FLAGS_RELWITHDEBINFO} /Op")
+ SET(CMAKE_C_FLAGS_DEBUG "${CMAKE_C_FLAGS_DEBUG} /Op")
+ SET(CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE} /Op")
+ SET(CMAKE_C_FLAGS_RELWITHDEBINFO "${CMAKE_C_FLAGS_RELWITHDEBINFO} /Op")
ENDIF(CMAKE_GENERATOR MATCHES "Visual Studio 7")
# Settings for Visual Studio 7 and above.
diff --git a/client/Makefile.am b/client/Makefile.am
index ccd0d8aada0..e94d638a8be 100644
--- a/client/Makefile.am
+++ b/client/Makefile.am
@@ -108,7 +108,7 @@ sql_src=log_event.h mysql_priv.h rpl_constants.h \
log_event.cc my_decimal.h my_decimal.cc \
log_event_old.h log_event_old.cc \
rpl_record_old.h rpl_record_old.cc
-strings_src=decimal.c
+strings_src=decimal.c dtoa.c
link_sources:
for f in $(sql_src) ; do \
diff --git a/client/sql_string.cc b/client/sql_string.cc
index 3292bc7e6f2..ccbc8977e7f 100644
--- a/client/sql_string.cc
+++ b/client/sql_string.cc
@@ -24,10 +24,6 @@
#include <m_string.h>
#include <m_ctype.h>
#include <mysql_com.h>
-#ifdef HAVE_FCONVERT
-#include <floatingpoint.h>
-#endif
-
/*
The following extern declarations are ok as these are interface functions
required by the string function
@@ -117,82 +113,19 @@ bool String::set(ulonglong num, CHARSET_INFO *cs)
bool String::set(double num,uint decimals, CHARSET_INFO *cs)
{
- char buff[331];
+ char buff[FLOATING_POINT_BUFFER];
uint dummy_errors;
+ size_t len;
str_charset=cs;
if (decimals >= NOT_FIXED_DEC)
{
- uint32 len= my_sprintf(buff,(buff, "%.15g",num));// Enough for a DATETIME
+ len= my_gcvt(num, MY_GCVT_ARG_DOUBLE, sizeof(buff) - 1, buff, NULL);
return copy(buff, len, &my_charset_latin1, cs, &dummy_errors);
}
-#ifdef HAVE_FCONVERT
- int decpt,sign;
- char *pos,*to;
-
- (void) fconvert(num,(int) decimals,&decpt,&sign,buff+1);
- if (!my_isdigit(&my_charset_latin1, buff[1]))
- { // Nan or Inf
- pos=buff+1;
- if (sign)
- {
- buff[0]='-';
- pos=buff;
- }
- uint dummy_errors;
- return copy(pos,(uint32) strlen(pos), &my_charset_latin1, cs, &dummy_errors);
- }
- if (alloc((uint32) ((uint32) decpt+3+decimals)))
- return TRUE;
- to=Ptr;
- if (sign)
- *to++='-';
-
- pos=buff+1;
- if (decpt < 0)
- { /* value is < 0 */
- *to++='0';
- if (!decimals)
- goto end;
- *to++='.';
- if ((uint32) -decpt > decimals)
- decpt= - (int) decimals;
- decimals=(uint32) ((int) decimals+decpt);
- while (decpt++ < 0)
- *to++='0';
- }
- else if (decpt == 0)
- {
- *to++= '0';
- if (!decimals)
- goto end;
- *to++='.';
- }
- else
- {
- while (decpt-- > 0)
- *to++= *pos++;
- if (!decimals)
- goto end;
- *to++='.';
- }
- while (decimals--)
- *to++= *pos++;
-
-end:
- *to=0;
- str_length=(uint32) (to-Ptr);
- return FALSE;
-#else
-#ifdef HAVE_SNPRINTF
- buff[sizeof(buff)-1]=0; // Safety
- snprintf(buff,sizeof(buff)-1, "%.*f",(int) decimals,num);
-#else
- sprintf(buff,"%.*f",(int) decimals,num);
-#endif
- return copy(buff,(uint32) strlen(buff), &my_charset_latin1, cs,
+ len= my_fcvt(num, decimals, buff, NULL);
+ return copy(buff, (uint32) len, &my_charset_latin1, cs,
&dummy_errors);
-#endif
}
@@ -675,7 +608,8 @@ void String::qs_append(const char *str, uint32 len)
void String::qs_append(double d)
{
char *buff = Ptr + str_length;
- str_length+= my_sprintf(buff, (buff, "%.15g", d));
+ str_length+= my_gcvt(d, MY_GCVT_ARG_DOUBLE, FLOATING_POINT_BUFFER - 1, buff,
+ NULL);
}
void String::qs_append(double *d)
diff --git a/configure.in b/configure.in
index 402280392ba..ff6b486defb 100644
--- a/configure.in
+++ b/configure.in
@@ -375,6 +375,21 @@ case "$target_os" in
fi
;;
esac
+
+# The following is required for portable results of floating point calculations
+# on PowerPC. The same must also be done for IA-64, but this options is missing
+# in the IA-64 gcc backend.
+
+if test "$GCC" = "yes"
+then
+ case "$host_cpu" in
+ *ppc* | *powerpc*)
+ CFLAGS="$CFLAGS -mno-fused-madd"
+ CXXFLAGS="$CXXFLAGS -mno-fused-madd"
+ ;;
+ esac
+fi
+
AC_SUBST(CC)
AC_SUBST(CFLAGS)
AC_SUBST(CXX)
@@ -2236,7 +2251,7 @@ AC_FUNC_VPRINTF
AC_CHECK_FUNCS(alarm bcmp bfill bmove bsearch bzero \
chsize cuserid fchmod fcntl \
- fconvert fdatasync fesetround finite fpresetsticky fpsetmask fsync ftruncate \
+ fdatasync fesetround finite fpresetsticky fpsetmask fsync ftruncate \
getcwd gethostbyaddr_r gethostbyname_r getpass getpassphrase getpwnam \
getpwuid getrlimit getrusage getwd index initgroups isnan \
localtime_r gethrtime gmtime_r \
diff --git a/include/m_string.h b/include/m_string.h
index a6a36f32ca4..45801ff85b7 100644
--- a/include/m_string.h
+++ b/include/m_string.h
@@ -92,9 +92,6 @@ extern char *stpcpy(char *, const char *); /* For AIX with gcc 2.95.3 */
extern char NEAR _dig_vec_upper[];
extern char NEAR _dig_vec_lower[];
-/* Defined in strtod.c */
-extern const double log_10[309];
-
#ifdef BAD_STRING_COMPILER
#define strmov(A,B) (memccpy(A,B,0,INT_MAX)-1)
#else
@@ -199,8 +196,42 @@ extern char *strstr(const char *, const char *);
extern int is_prefix(const char *, const char *);
/* Conversion routines */
+typedef enum {
+ MY_GCVT_ARG_FLOAT,
+ MY_GCVT_ARG_DOUBLE
+} my_gcvt_arg_type;
+
double my_strtod(const char *str, char **end, int *error);
double my_atof(const char *nptr);
+size_t my_fcvt(double x, int precision, char *to, my_bool *error);
+size_t my_gcvt(double x, my_gcvt_arg_type type, int width, char *to,
+ my_bool *error);
+
+#define NOT_FIXED_DEC 31
+
+/*
+ The longest string my_fcvt can return is 311 + "precision" bytes.
+ Here we assume that we never cal my_fcvt() with precision >= NOT_FIXED_DEC
+ (+ 1 byte for the terminating '\0').
+*/
+#define FLOATING_POINT_BUFFER (311 + NOT_FIXED_DEC)
+
+/*
+ We want to use the 'e' format in some cases even if we have enough space
+ for the 'f' one just to mimic sprintf("%.15g") behavior for large integers,
+ and to improve it for numbers < 10^(-4).
+ That is, for |x| < 1 we require |x| >= 10^(-15), and for |x| > 1 we require
+ it to be integer and be <= 10^DBL_DIG for the 'f' format to be used.
+ We don't lose precision, but make cases like "1e200" or "0.00001" look nicer.
+*/
+#define MAX_DECPT_FOR_F_FORMAT DBL_DIG
+
+/*
+ The maximum possible field width for my_gcvt() conversion.
+ (DBL_DIG + 2) significant digits + sign + "." + ("e-NNN" or
+ MAX_DECPT_FOR_F_FORMAT zeros for cases when |x|<1 and the 'f' format is used).
+*/
+#define MY_GCVT_MAX_FIELD_WIDTH (DBL_DIG + 4 + max(5, MAX_DECPT_FOR_F_FORMAT)) \
extern char *llstr(longlong value,char *buff);
extern char *ullstr(longlong value,char *buff);
diff --git a/libmysql/CMakeLists.txt b/libmysql/CMakeLists.txt
index 84ad50e03e3..06c683bd27e 100755
--- a/libmysql/CMakeLists.txt
+++ b/libmysql/CMakeLists.txt
@@ -69,7 +69,7 @@ SET(CLIENT_SOURCES ../mysys/array.c ../strings/bchange.c ../strings/bmove.c
../strings/ctype-simple.c ../strings/ctype-sjis.c ../strings/ctype-tis620.c
../strings/ctype-uca.c ../strings/ctype-ucs2.c ../strings/ctype-ujis.c
../strings/ctype-utf8.c ../strings/ctype-win1250ch.c ../strings/ctype.c
- ../mysys/default.c errmsg.c ../mysys/errors.c
+ ../mysys/default.c strings/dtoa.c errmsg.c ../mysys/errors.c
../mysys/hash.c ../mysys/my_sleep.c ../mysys/default_modify.c
get_password.c ../strings/int2str.c ../strings/is_prefix.c
libmysql.c ../mysys/list.c ../strings/llstr.c
@@ -92,7 +92,7 @@ SET(CLIENT_SOURCES ../mysys/array.c ../strings/bchange.c ../strings/bmove.c
../mysys/safemalloc.c ../mysys/sha1.c ../strings/str2int.c
../strings/str_alloc.c ../strings/strcend.c ../strings/strcont.c ../strings/strend.c
../strings/strfill.c ../mysys/string.c ../strings/strinstr.c ../strings/strmake.c
- ../strings/strmov.c ../strings/strnlen.c ../strings/strnmov.c ../strings/strtod.c
+ ../strings/strmov.c ../strings/strnlen.c ../strings/strnmov.c
../strings/strtoll.c ../strings/strtoull.c ../strings/strxmov.c ../strings/strxnmov.c
../mysys/thr_mutex.c ../mysys/typelib.c ../vio/vio.c ../vio/viosocket.c
../vio/viossl.c ../vio/viosslfactories.c ../strings/xml.c ../mysys/mf_qsort.c
diff --git a/libmysql/Makefile.shared b/libmysql/Makefile.shared
index b626d3343ce..dbe801ecd17 100644
--- a/libmysql/Makefile.shared
+++ b/libmysql/Makefile.shared
@@ -35,7 +35,7 @@ target_sources = libmysql.c password.c \
get_password.c errmsg.c
mystringsobjects = strmov.lo strxmov.lo strxnmov.lo strnmov.lo \
- strmake.lo strend.lo strtod.lo \
+ strmake.lo strend.lo \
strnlen.lo strfill.lo is_prefix.lo \
int2str.lo str2int.lo strinstr.lo strcont.lo \
strcend.lo bcmp.lo ctype-latin1.lo \
@@ -46,7 +46,7 @@ mystringsobjects = strmov.lo strxmov.lo strxnmov.lo strnmov.lo \
ctype-win1250ch.lo ctype-utf8.lo ctype-extra.lo \
ctype-ucs2.lo ctype-gb2312.lo ctype-gbk.lo \
ctype-sjis.lo ctype-tis620.lo ctype-ujis.lo \
- ctype-uca.lo xml.lo my_strtoll10.lo str_alloc.lo
+ ctype-uca.lo xml.lo my_strtoll10.lo str_alloc.lo dtoa.lo
mystringsextra= strto.c
dbugobjects = dbug.lo # IT IS IN SAFEMALLOC.C sanity.lo
diff --git a/libmysql/libmysql.c b/libmysql/libmysql.c
index 6f5fcd187b7..ec7263e2dd8 100644
--- a/libmysql/libmysql.c
+++ b/libmysql/libmysql.c
@@ -3372,12 +3372,13 @@ static void fetch_long_with_conversion(MYSQL_BIND *param, MYSQL_FIELD *field,
param output buffer descriptor
field column metadata
value column data
- width default number of significant digits used when converting
- float/double to string
+ type either MY_GCVT_ARG_FLOAT or MY_GCVT_ARG_DOUBLE.
+ Affects the maximum number of significant digits
+ returned by my_gcvt().
*/
static void fetch_float_with_conversion(MYSQL_BIND *param, MYSQL_FIELD *field,
- double value, int width)
+ double value, my_gcvt_arg_type type)
{
char *buffer= (char *)param->buffer;
double val64 = (value < 0 ? -floor(-value) : floor(value));
@@ -3461,39 +3462,24 @@ static void fetch_float_with_conversion(MYSQL_BIND *param, MYSQL_FIELD *field,
floating point -> string conversion nicely, honor all typecodes
and param->offset possibly set in mysql_stmt_fetch_column
*/
- char buff[MAX_DOUBLE_STRING_REP_LENGTH];
- char *end;
+ char buff[FLOATING_POINT_BUFFER];
+ size_t len;
if (field->decimals >= NOT_FIXED_DEC)
- {
- /*
- DBL_DIG below is to ensure that the server and client has the same
- precisions. This will ensure that on the same machine you get the
- same value as a string independent of the protocol you use.
- */
- sprintf(buff, "%-*.*g", (int) min(sizeof(buff)-1,
- param->buffer_length),
- min(DBL_DIG, width), value);
- end= strcend(buff, ' ');
- *end= 0;
- }
+ len= my_gcvt(value, type,
+ (int) min(sizeof(buff)-1, param->buffer_length),
+ buff, NULL);
else
- {
- sprintf(buff, "%.*f", (int) field->decimals, value);
- end= strend(buff);
- }
+ len= my_fcvt(value, (int) field->decimals, buff, NULL);
+ if (field->flags & ZEROFILL_FLAG && len < field->length &&
+ field->length < MAX_DOUBLE_STRING_REP_LENGTH - 1)
{
- size_t length= end - buff;
- if (field->flags & ZEROFILL_FLAG && length < field->length &&
- field->length < MAX_DOUBLE_STRING_REP_LENGTH - 1)
- {
- bmove_upp((uchar*) buff + field->length, (uchar*) buff + length,
- length);
- bfill((char*) buff, field->length - length, '0');
- length= field->length;
- }
- fetch_string_with_conversion(param, buff, length);
+ bmove_upp((uchar*) buff + field->length, (uchar*) buff + len,
+ len);
+ bfill((char*) buff, field->length - len, '0');
+ len= field->length;
}
+ fetch_string_with_conversion(param, buff, len);
break;
}
@@ -3538,7 +3524,7 @@ static void fetch_datetime_with_conversion(MYSQL_BIND *param,
{
ulonglong value= TIME_to_ulonglong(my_time);
fetch_float_with_conversion(param, field,
- ulonglong2double(value), DBL_DIG);
+ ulonglong2double(value), MY_GCVT_ARG_DOUBLE);
break;
}
case MYSQL_TYPE_TINY:
@@ -3632,7 +3618,7 @@ static void fetch_result_with_conversion(MYSQL_BIND *param, MYSQL_FIELD *field,
{
float value;
float4get(value,*row);
- fetch_float_with_conversion(param, field, value, FLT_DIG);
+ fetch_float_with_conversion(param, field, value, MY_GCVT_ARG_FLOAT);
*row+= 4;
break;
}
@@ -3640,7 +3626,7 @@ static void fetch_result_with_conversion(MYSQL_BIND *param, MYSQL_FIELD *field,
{
double value;
float8get(value,*row);
- fetch_float_with_conversion(param, field, value, DBL_DIG);
+ fetch_float_with_conversion(param, field, value, MY_GCVT_ARG_DOUBLE);
*row+= 8;
break;
}
diff --git a/mysql-test/r/archive_gis.result b/mysql-test/r/archive_gis.result
index 178c5716911..ad7bd374629 100644
--- a/mysql-test/r/archive_gis.result
+++ b/mysql-test/r/archive_gis.result
@@ -266,7 +266,7 @@ fid AsText(EndPoint(g))
107 POINT(40 10)
SELECT fid, GLength(g) FROM gis_line ORDER by fid;
fid GLength(g)
-105 24.142135623731
+105 24.14213562373095
106 40
107 30
SELECT fid, NumPoints(g) FROM gis_line ORDER by fid;
@@ -292,7 +292,7 @@ Note 1003 select astext(startpoint(`test`.`gis_line`.`g`)) AS `AsText(StartPoint
SELECT fid, AsText(Centroid(g)) FROM gis_polygon ORDER by fid;
fid AsText(Centroid(g))
108 POINT(15 15)
-109 POINT(25.4166666666667 25.4166666666667)
+109 POINT(25.416666666666668 25.416666666666668)
110 POINT(20 10)
SELECT fid, Area(g) FROM gis_polygon ORDER by fid;
fid Area(g)
@@ -326,8 +326,8 @@ fid IsClosed(g)
116 0
SELECT fid, AsText(Centroid(g)) FROM gis_multi_polygon ORDER by fid;
fid AsText(Centroid(g))
-117 POINT(55.5885277530424 17.426536064114)
-118 POINT(55.5885277530424 17.426536064114)
+117 POINT(55.58852775304245 17.426536064113982)
+118 POINT(55.58852775304245 17.426536064113982)
119 POINT(2 2)
SELECT fid, Area(g) FROM gis_multi_polygon ORDER by fid;
fid Area(g)
diff --git a/mysql-test/r/cast.result b/mysql-test/r/cast.result
index c53de220b60..3e1ea824db5 100644
--- a/mysql-test/r/cast.result
+++ b/mysql-test/r/cast.result
@@ -342,11 +342,11 @@ INSERT INTO t1 SET f1 = -1.0e+30 ;
INSERT INTO t1 SET f1 = +1.0e+30 ;
SELECT f1 AS double_val, CAST(f1 AS SIGNED INT) AS cast_val FROM t1;
double_val cast_val
--1e+30 -9223372036854775808
-1e+30 9223372036854775807
+-1e30 -9223372036854775808
+1e30 9223372036854775807
Warnings:
-Warning 1292 Truncated incorrect INTEGER value: '-1e+30'
-Warning 1292 Truncated incorrect INTEGER value: '1e+30'
+Warning 1292 Truncated incorrect INTEGER value: '-1e30'
+Warning 1292 Truncated incorrect INTEGER value: '1e30'
DROP TABLE t1;
select isnull(date(NULL)), isnull(cast(NULL as DATE));
isnull(date(NULL)) isnull(cast(NULL as DATE))
@@ -363,7 +363,7 @@ cast('1.2' as decimal(3,2))
1.20
select 1e18 * cast('1.2' as decimal(3,2));
1e18 * cast('1.2' as decimal(3,2))
-1.2e+18
+1.2e18
select cast(cast('1.2' as decimal(3,2)) as signed);
cast(cast('1.2' as decimal(3,2)) as signed)
1
diff --git a/mysql-test/r/func_group.result b/mysql-test/r/func_group.result
index b36f561578b..6838dcf944c 100644
--- a/mysql-test/r/func_group.result
+++ b/mysql-test/r/func_group.result
@@ -61,7 +61,7 @@ grp sum
NULL NULL
1 7
2 20.25
-3 45.4831632475944
+3 45.48316324759439
create table t2 (grp int, a bigint unsigned, c char(10));
insert into t2 select grp,max(a)+max(grp),max(c) from t1 group by grp;
replace into t2 select grp, a, c from t1 limit 2,1;
@@ -891,7 +891,7 @@ select 1e8 * sum(distinct df) from t1;
330000000
select 1e8 * min(df) from t1;
1e8 * min(df)
-110000000
+110000000.00000001
create table t3 (ifl int);
insert into t3 values(1), (2);
select cast(min(ifl) as decimal(5,2)) from t3;
@@ -1186,7 +1186,7 @@ std(s1/s2)
0.21325764
select std(o1/o2) from bug22555;
std(o1/o2)
-0.213257635866493
+0.2132576358664934
select std(e1/e2) from bug22555;
std(e1/e2)
0.21325764
@@ -1209,13 +1209,13 @@ i count(*) std(e1/e2)
3 4 0.000000000000000000000000000000
select round(std(s1/s2), 17) from bug22555;
round(std(s1/s2), 17)
-0.21325763586649341
+0.21325763586649340
select std(o1/o2) from bug22555;
std(o1/o2)
-0.213257635866493
+0.2132576358664934
select round(std(e1/e2), 17) from bug22555;
round(std(e1/e2), 17)
-0.21325763586649341
+0.21325763586649340
set div_precision_increment=20;
select i, count(*), std(s1/s2) from bug22555 group by i order by i;
i count(*) std(s1/s2)
@@ -1234,13 +1234,13 @@ i count(*) std(e1/e2)
3 4 0.000000000000000000000000000000
select round(std(s1/s2), 17) from bug22555;
round(std(s1/s2), 17)
-0.21325763586649341
+0.21325763586649340
select std(o1/o2) from bug22555;
std(o1/o2)
-0.213257635866493
+0.2132576358664934
select round(std(e1/e2), 17) from bug22555;
round(std(e1/e2), 17)
-0.21325763586649341
+0.21325763586649340
set @@div_precision_increment=@saved_div_precision_increment;
drop table bug22555;
create table bug22555 (s smallint, o double, e decimal);
diff --git a/mysql-test/r/func_math.result b/mysql-test/r/func_math.result
index 063f4d37f4a..537b1db9781 100644
--- a/mysql-test/r/func_math.result
+++ b/mysql-test/r/func_math.result
@@ -44,7 +44,7 @@ Warnings:
Note 1003 select abs(-(10)) AS `abs(-10)`,sign(-(5)) AS `sign(-5)`,sign(5) AS `sign(5)`,sign(0) AS `sign(0)`
select log(exp(10)),exp(log(sqrt(10))*2),log(-1),log(NULL),log(1,1),log(3,9),log(-1,2),log(NULL,2);
log(exp(10)) exp(log(sqrt(10))*2) log(-1) log(NULL) log(1,1) log(3,9) log(-1,2) log(NULL,2)
-10 10 NULL NULL NULL 2 NULL NULL
+10 10.000000000000002 NULL NULL NULL 2 NULL NULL
explain extended select log(exp(10)),exp(log(sqrt(10))*2),log(-1),log(NULL),log(1,1),log(3,9),log(-1,2),log(NULL,2);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
@@ -52,7 +52,7 @@ Warnings:
Note 1003 select log(exp(10)) AS `log(exp(10))`,exp((log(sqrt(10)) * 2)) AS `exp(log(sqrt(10))*2)`,log(-(1)) AS `log(-1)`,log(NULL) AS `log(NULL)`,log(1,1) AS `log(1,1)`,log(3,9) AS `log(3,9)`,log(-(1),2) AS `log(-1,2)`,log(NULL,2) AS `log(NULL,2)`
select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
ln(exp(10)) exp(ln(sqrt(10))*2) ln(-1) ln(0) ln(NULL)
-10 10 NULL NULL NULL
+10 10.000000000000002 NULL NULL NULL
explain extended select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
@@ -60,7 +60,7 @@ Warnings:
Note 1003 select ln(exp(10)) AS `ln(exp(10))`,exp((ln(sqrt(10)) * 2)) AS `exp(ln(sqrt(10))*2)`,ln(-(1)) AS `ln(-1)`,ln(0) AS `ln(0)`,ln(NULL) AS `ln(NULL)`
select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
log2(8) log2(15) log2(-2) log2(0) log2(NULL)
-3 3.90689059560852 NULL NULL NULL
+3 3.9068905956085187 NULL NULL NULL
explain extended select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
@@ -68,7 +68,7 @@ Warnings:
Note 1003 select log2(8) AS `log2(8)`,log2(15) AS `log2(15)`,log2(-(2)) AS `log2(-2)`,log2(0) AS `log2(0)`,log2(NULL) AS `log2(NULL)`
select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
log10(100) log10(18) log10(-4) log10(0) log10(NULL)
-2 1.25527250510331 NULL NULL NULL
+2 1.255272505103306 NULL NULL NULL
explain extended select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
@@ -85,7 +85,7 @@ Note 1003 select pow(10,log10(10)) AS `pow(10,log10(10))`,pow(2,4) AS `power(2,4
set @@rand_seed1=10000000,@@rand_seed2=1000000;
select rand(999999),rand();
rand(999999) rand()
-0.0142313651873091 0.028870999839968
+0.014231365187309091 0.028870999839968048
explain extended select rand(999999),rand();
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
@@ -101,7 +101,7 @@ Warnings:
Note 1003 select pi() AS `pi()`,format(sin((pi() / 2)),6) AS `format(sin(pi()/2),6)`,format(cos((pi() / 2)),6) AS `format(cos(pi()/2),6)`,format(abs(tan(pi())),6) AS `format(abs(tan(pi())),6)`,format((1 / tan(1)),6) AS `format(cot(1),6)`,format(asin(1),6) AS `format(asin(1),6)`,format(acos(0),6) AS `format(acos(0),6)`,format(atan(1),6) AS `format(atan(1),6)`
select degrees(pi()),radians(360);
degrees(pi()) radians(360)
-180 6.28318530717959
+180 6.283185307179586
select format(atan(-2, 2), 6);
format(atan(-2, 2), 6)
-0.785398
@@ -119,7 +119,7 @@ ACOS(1.0)
0
SELECT ASIN(1.0);
ASIN(1.0)
-1.5707963267949
+1.5707963267948966
SELECT ACOS(0.2*5.0);
ACOS(0.2*5.0)
0
@@ -128,10 +128,10 @@ ACOS(0.5*2.0)
0
SELECT ASIN(0.8+0.2);
ASIN(0.8+0.2)
-1.5707963267949
+1.5707963267948966
SELECT ASIN(1.2-0.2);
ASIN(1.2-0.2)
-1.5707963267949
+1.5707963267948966
select format(4.55, 1), format(4.551, 1);
format(4.55, 1) format(4.551, 1)
4.6 4.6
@@ -368,7 +368,7 @@ mod(5, cast(-2 as unsigned)) mod(5, 18446744073709551614) mod(5, -2)
5 5 1
select pow(cast(-2 as unsigned), 5), pow(18446744073709551614, 5), pow(-2, 5);
pow(cast(-2 as unsigned), 5) pow(18446744073709551614, 5) pow(-2, 5)
-2.13598703592091e+96 2.13598703592091e+96 -32
+2.13598703592091e96 2.13598703592091e96 -32
CREATE TABLE t1 (a timestamp, b varchar(20), c bit(1));
INSERT INTO t1 VALUES('1998-09-23', 'str1', 1), ('2003-03-25', 'str2', 0);
SELECT a DIV 900 y FROM t1 GROUP BY y;
@@ -437,10 +437,10 @@ a ROUND(a)
2.5 2
-2.9 -3
2.9 3
--1e+16 -10000000000000000
-1e+16 10000000000000000
--1e+16 -10000000000000002
-1e+16 10000000000000002
+-1e16 -10000000000000000
+1e16 10000000000000000
+-1.0000000000000002e16 -10000000000000002
+1.0000000000000002e16 10000000000000002
DROP TABLE t1;
CREATE TABLE t1(f1 LONGTEXT) engine=myisam;
INSERT INTO t1 VALUES ('a');
@@ -475,16 +475,16 @@ NULL
CREATE OR REPLACE VIEW v1 AS SELECT NULL AS a;
SELECT RAND(a) FROM v1;
RAND(a)
-0.155220427694936
+0.15522042769493574
DROP VIEW v1;
SELECT RAND(a) FROM (SELECT NULL AS a) b;
RAND(a)
-0.155220427694936
+0.15522042769493574
CREATE TABLE t1 (i INT);
INSERT INTO t1 VALUES (NULL);
SELECT RAND(i) FROM t1;
RAND(i)
-0.155220427694936
+0.15522042769493574
DROP TABLE t1;
#
select 123456789012345678901234567890.123456789012345678901234567890 div 1 as x;
diff --git a/mysql-test/r/func_str.result b/mysql-test/r/func_str.result
index 64988f9de50..3d43cbbfd76 100644
--- a/mysql-test/r/func_str.result
+++ b/mysql-test/r/func_str.result
@@ -1354,10 +1354,10 @@ cast(rtrim(ltrim(' 20.06 ')) as decimal(19,2))
20.06
select conv("18383815659218730760",10,10) + 0;
conv("18383815659218730760",10,10) + 0
-1.83838156592187e+19
+1.838381565921873e19
select "18383815659218730760" + 0;
"18383815659218730760" + 0
-1.83838156592187e+19
+1.838381565921873e19
CREATE TABLE t1 (code varchar(10));
INSERT INTO t1 VALUES ('a12'), ('A12'), ('a13');
SELECT ASCII(code), code FROM t1 WHERE code='A12';
diff --git a/mysql-test/r/gis.result b/mysql-test/r/gis.result
index 3e28227d542..60e24819fa5 100644
--- a/mysql-test/r/gis.result
+++ b/mysql-test/r/gis.result
@@ -258,7 +258,7 @@ fid AsText(EndPoint(g))
107 POINT(40 10)
SELECT fid, GLength(g) FROM gis_line;
fid GLength(g)
-105 24.142135623731
+105 24.14213562373095
106 40
107 30
SELECT fid, NumPoints(g) FROM gis_line;
@@ -284,7 +284,7 @@ Note 1003 select astext(startpoint(`test`.`gis_line`.`g`)) AS `AsText(StartPoint
SELECT fid, AsText(Centroid(g)) FROM gis_polygon;
fid AsText(Centroid(g))
108 POINT(15 15)
-109 POINT(25.4166666666667 25.4166666666667)
+109 POINT(25.416666666666668 25.416666666666668)
110 POINT(20 10)
SELECT fid, Area(g) FROM gis_polygon;
fid Area(g)
@@ -318,8 +318,8 @@ fid IsClosed(g)
116 0
SELECT fid, AsText(Centroid(g)) FROM gis_multi_polygon;
fid AsText(Centroid(g))
-117 POINT(55.5885277530424 17.426536064114)
-118 POINT(55.5885277530424 17.426536064114)
+117 POINT(55.58852775304245 17.426536064113982)
+118 POINT(55.58852775304245 17.426536064113982)
119 POINT(2 2)
SELECT fid, Area(g) FROM gis_multi_polygon;
fid Area(g)
@@ -651,11 +651,11 @@ insert into t1 values ('85984',GeomFromText('MULTIPOLYGON(((-115.006363
select object_id, geometrytype(geo), ISSIMPLE(GEO), ASTEXT(centroid(geo)) from
t1 where object_id=85998;
object_id geometrytype(geo) ISSIMPLE(GEO) ASTEXT(centroid(geo))
-85998 MULTIPOLYGON 0 POINT(115.318773152032 -36.2374728210215)
+85998 MULTIPOLYGON 0 POINT(115.31877315203187 -36.23747282102153)
select object_id, geometrytype(geo), ISSIMPLE(GEO), ASTEXT(centroid(geo)) from
t1 where object_id=85984;
object_id geometrytype(geo) ISSIMPLE(GEO) ASTEXT(centroid(geo))
-85984 MULTIPOLYGON 0 POINT(-114.877871869233 36.3310176346905)
+85984 MULTIPOLYGON 0 POINT(-114.87787186923313 36.33101763469059)
drop table t1;
create table t1 (fl geometry not null);
insert into t1 values (1);
diff --git a/mysql-test/r/innodb_gis.result b/mysql-test/r/innodb_gis.result
index c6c775afc9f..0ce1ebe56ad 100644
--- a/mysql-test/r/innodb_gis.result
+++ b/mysql-test/r/innodb_gis.result
@@ -266,7 +266,7 @@ fid AsText(EndPoint(g))
107 POINT(40 10)
SELECT fid, GLength(g) FROM gis_line ORDER by fid;
fid GLength(g)
-105 24.142135623731
+105 24.14213562373095
106 40
107 30
SELECT fid, NumPoints(g) FROM gis_line ORDER by fid;
@@ -292,7 +292,7 @@ Note 1003 select astext(startpoint(`test`.`gis_line`.`g`)) AS `AsText(StartPoint
SELECT fid, AsText(Centroid(g)) FROM gis_polygon ORDER by fid;
fid AsText(Centroid(g))
108 POINT(15 15)
-109 POINT(25.4166666666667 25.4166666666667)
+109 POINT(25.416666666666668 25.416666666666668)
110 POINT(20 10)
SELECT fid, Area(g) FROM gis_polygon ORDER by fid;
fid Area(g)
@@ -326,8 +326,8 @@ fid IsClosed(g)
116 0
SELECT fid, AsText(Centroid(g)) FROM gis_multi_polygon ORDER by fid;
fid AsText(Centroid(g))
-117 POINT(55.5885277530424 17.426536064114)
-118 POINT(55.5885277530424 17.426536064114)
+117 POINT(55.58852775304245 17.426536064113982)
+118 POINT(55.58852775304245 17.426536064113982)
119 POINT(2 2)
SELECT fid, Area(g) FROM gis_multi_polygon ORDER by fid;
fid Area(g)
diff --git a/mysql-test/r/insert.result b/mysql-test/r/insert.result
index 36d2b9ef348..b322c5da73a 100644
--- a/mysql-test/r/insert.result
+++ b/mysql-test/r/insert.result
@@ -175,12 +175,12 @@ Warning 1264 Out of range value for column 'f_float_3_1_u' at row 1
select * from t1 where number =last_insert_id();
number 4
original_value 1e+1111111111a
-f_double 1.79769313486232e+308
-f_float 3.40282e+38
+f_double 1.7976931348623157e308
+f_float 3.40282e38
f_double_7_2 99999.99
f_float_4_3 9.999
-f_double_u 1.79769313486232e+308
-f_float_u 3.40282e+38
+f_double_u 1.7976931348623157e308
+f_float_u 3.40282e38
f_double_15_1_u 99999999999999.9
f_float_3_1_u 99.9
set @value= "-1e+1111111111a";
@@ -204,8 +204,8 @@ Warning 1264 Out of range value for column 'f_float_3_1_u' at row 1
select * from t1 where number =last_insert_id();
number 5
original_value -1e+1111111111a
-f_double -1.79769313486232e+308
-f_float -3.40282e+38
+f_double -1.7976931348623157e308
+f_float -3.40282e38
f_double_7_2 -99999.99
f_float_4_3 -9.999
f_double_u 0
@@ -227,13 +227,13 @@ Warning 1264 Out of range value for column 'f_double_15_1_u' at row 1
Warning 1264 Out of range value for column 'f_float_3_1_u' at row 1
select * from t1 where number =last_insert_id();
number 6
-original_value 1e+111
-f_double 1e+111
-f_float 3.40282e+38
+original_value 1e111
+f_double 1e111
+f_float 3.40282e38
f_double_7_2 99999.99
f_float_4_3 9.999
-f_double_u 1e+111
-f_float_u 3.40282e+38
+f_double_u 1e111
+f_float_u 3.40282e38
f_double_15_1_u 99999999999999.9
f_float_3_1_u 99.9
set @value= -1e+111;
@@ -248,9 +248,9 @@ Warning 1264 Out of range value for column 'f_double_15_1_u' at row 1
Warning 1264 Out of range value for column 'f_float_3_1_u' at row 1
select * from t1 where number =last_insert_id();
number 7
-original_value -1e+111
-f_double -1e+111
-f_float -3.40282e+38
+original_value -1e111
+f_double -1e111
+f_float -3.40282e38
f_double_7_2 -99999.99
f_float_4_3 -9.999
f_double_u 0
@@ -524,42 +524,36 @@ INSERT INTO t1(a,b) VALUES (1.25e-175, 1.25e-175);
INSERT INTO t1(a,c) VALUES (1.225e+0, 1.225e+0);
INSERT INTO t1(a,c) VALUES (1.37e+0, 1.37e+0);
INSERT INTO t1(a,c) VALUES (-1.37e+0, -1.37e+0);
-Warnings:
-Warning 1265 Data truncated for column 'c' at row 1
INSERT INTO t1(a,c) VALUES (1.87e-3, 1.87e-3);
Warnings:
Warning 1265 Data truncated for column 'c' at row 1
INSERT INTO t1(a,c) VALUES (-1.87e-2, -1.87e-2);
-Warnings:
-Warning 1265 Data truncated for column 'c' at row 1
INSERT INTO t1(a,c) VALUES (5000e+0, 5000e+0);
INSERT INTO t1(a,c) VALUES (-5000e+0, -5000e+0);
-Warnings:
-Warning 1265 Data truncated for column 'c' at row 1
SELECT * FROM t1;
a b c
9.999999 10 10
-1.225e-05 1.2e-05 1e-0
-0.0001225 0.00012 NULL
+0.00001225 1.22e-5 1e-5
+0.0001225 1.22e-4 NULL
0.1225 0.1225 NULL
0.1225877 0.12259 NULL
12.25 12.25 NULL
12.25 12.25 12.2
122500 122500 NULL
-12250000000 1.2e+10 NULL
-1.225e+15 1.2e+15 NULL
+12250000000 1.22e10 NULL
+1.225e15 1.22e15 NULL
5000000 5000000 NULL
-1.25e+78 1.2e+78 NULL
+1.25e78 1.25e78 NULL
1.25e-94 1.2e-94 NULL
-1.25e+203 1e+203 NULL
+1.25e203 1.2e203 NULL
1.25e-175 1e-175 NULL
1.225 NULL 1.23
1.37 NULL 1.37
--1.37 NULL -1.3
-0.00187 NULL 0.00
--0.0187 NULL -0.0
+-1.37 NULL -1.4
+0.00187 NULL 2e-3
+-0.0187 NULL 0
5000 NULL 5000
--5000 NULL -500
+-5000 NULL -5e3
DROP TABLE t1;
CREATE TABLE t1 (
a char(20) NOT NULL,
@@ -586,32 +580,30 @@ INSERT INTO t1(a,c) VALUES (1.37e+0, 1.37e+0);
INSERT INTO t1(a,c) VALUES (-1.37e+0, -1.37e+0);
INSERT INTO t1(a,c) VALUES (1.87e-3, 1.87e-3);
INSERT INTO t1(a,c) VALUES (-1.87e-2, -1.87e-2);
-Warnings:
-Warning 1265 Data truncated for column 'c' at row 1
INSERT INTO t1(a,c) VALUES (5000e+0, 5000e+0);
INSERT INTO t1(a,c) VALUES (-5000e+0, -5000e+0);
SELECT * FROM t1;
a b c
9.999999 10 9.999
-1.225e-05 1.2e-05 1e-05
-0.0001225 0.00012 NULL
+0.00001225 1.22e-5 1e-5
+0.0001225 1.22e-4 NULL
0.1225 0.1225 NULL
0.1225877 0.12259 NULL
12.25 12.25 NULL
12.25 12.25 12.25
122500 122500 NULL
-12250000000 1.2e+10 NULL
-1.225e+15 1.2e+15 NULL
+12250000000 1.22e10 NULL
+1.225e15 1.22e15 NULL
5000000 5000000 NULL
-1.25e+78 1.2e+78 NULL
+1.25e78 1.25e78 NULL
1.25e-94 1.2e-94 NULL
-1.25e+203 1e+203 NULL
+1.25e203 1.2e203 NULL
1.25e-175 1e-175 NULL
1.225 NULL 1.225
1.37 NULL 1.37
-1.37 NULL -1.37
0.00187 NULL 0.002
--0.0187 NULL -0.01
+-0.0187 NULL -0.02
5000 NULL 5000
-5000 NULL -5000
DROP TABLE t1;
diff --git a/mysql-test/r/loaddata.result b/mysql-test/r/loaddata.result
index 1e488b320d7..5e25132880f 100644
--- a/mysql-test/r/loaddata.result
+++ b/mysql-test/r/loaddata.result
@@ -251,15 +251,15 @@ CREATE TABLE t1 (c1 INT, c2 TIMESTAMP, c3 REAL, c4 DOUBLE);
INSERT INTO t1 (c1, c2, c3, c4) VALUES (10, '1970-02-01 01:02:03', 1.1E-100, 1.1E+100);
SELECT * FROM t1;
c1 c2 c3 c4
-10 1970-02-01 01:02:03 1.1e-100 1.1e+100
+10 1970-02-01 01:02:03 1.1e-100 1.1e100
SELECT * INTO OUTFILE 'MYSQLTEST_VARDIR/tmp/t1' FIELDS ENCLOSED BY '-' FROM t1;
--10- -1970\-02\-01 01:02:03- -1.1e\-100- -1.1e+100-
+-10- -1970\-02\-01 01:02:03- -1.1e\-100- -1.1e100-
EOF
TRUNCATE t1;
LOAD DATA INFILE 'MYSQLTEST_VARDIR/tmp/t1' INTO TABLE t1 FIELDS ENCLOSED BY '-';
SELECT * FROM t1;
c1 c2 c3 c4
-10 1970-02-01 01:02:03 1.1e-100 1.1e+100
+10 1970-02-01 01:02:03 1.1e-100 1.1e100
DROP TABLE t1;
# --
diff --git a/mysql-test/r/mysqldump.result b/mysql-test/r/mysqldump.result
index 13d36fab2f1..4724a111837 100644
--- a/mysql-test/r/mysqldump.result
+++ b/mysql-test/r/mysqldump.result
@@ -55,7 +55,7 @@ CREATE TABLE `t1` (
`a` double DEFAULT NULL
) ENGINE=MyISAM DEFAULT CHARSET=latin1;
/*!40101 SET character_set_client = @saved_cs_client */;
-INSERT INTO `t1` VALUES (RES);
+INSERT INTO `t1` VALUES (-1.7976931348623157e308);
DROP TABLE t1;
#
# Bug#3361 mysqldump quotes DECIMAL values inconsistently
diff --git a/mysql-test/r/parser.result b/mysql-test/r/parser.result
index 7e703de0876..467bb7c5cb8 100644
--- a/mysql-test/r/parser.result
+++ b/mysql-test/r/parser.result
@@ -522,7 +522,7 @@ select conv(255 AS p1, 10 AS p2, 16 AS p3);
ERROR 42000: Incorrect parameters in the call to native function 'conv'
select atan(10);
atan(10)
-1.47112767430373
+1.4711276743037347
select atan(10 AS p1);
ERROR 42000: Incorrect parameters in the call to native function 'atan'
select atan(10 p1);
@@ -533,7 +533,7 @@ select atan(10 "p1");
ERROR 42000: Incorrect parameters in the call to native function 'atan'
select atan(10, 20);
atan(10, 20)
-0.463647609000806
+0.4636476090008061
select atan(10 AS p1, 20);
ERROR 42000: Incorrect parameters in the call to native function 'atan'
select atan(10 p1, 20);
diff --git a/mysql-test/r/ps_2myisam.result b/mysql-test/r/ps_2myisam.result
index c51863b73f7..4f9444c1542 100644
--- a/mysql-test/r/ps_2myisam.result
+++ b/mysql-test/r/ps_2myisam.result
@@ -2585,10 +2585,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -2608,10 +2608,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -2631,10 +2631,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -2654,10 +2654,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -2679,10 +2679,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -2704,10 +2704,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -2729,10 +2729,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -2754,10 +2754,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -2822,10 +2822,10 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
51 5 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
-54 5 54 54 54.00 54.00 54.00 54.00 54.00 54.00 54.00 54.00
-55 5 55 55 55 55 55 55 55 55 55 55
-56 6 56 56 56.00 56.00 56.00 56.00 56.00 56.00 56.00 56.00
-57 6 57 57 57.00 57.00 57.00 57.00 57.00 57.00 57.00 57.00
+54 5 54 54 54 54 54 54 54 54 54 54
+55 6 55 55 55 55 55 55 55 55 55 55
+56 6 56 56 56 56 56 56 56 56 56 56
+57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
61 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
62 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -3039,7 +3039,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
diff --git a/mysql-test/r/ps_3innodb.result b/mysql-test/r/ps_3innodb.result
index 2670451f24e..772a7462342 100644
--- a/mysql-test/r/ps_3innodb.result
+++ b/mysql-test/r/ps_3innodb.result
@@ -2568,10 +2568,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -2591,10 +2591,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -2614,10 +2614,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -2637,10 +2637,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -2662,10 +2662,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -2687,10 +2687,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -2712,10 +2712,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -2737,10 +2737,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -2805,10 +2805,10 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
51 5 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
-54 5 54 54 54.00 54.00 54.00 54.00 54.00 54.00 54.00 54.00
-55 5 55 55 55 55 55 55 55 55 55 55
-56 6 56 56 56.00 56.00 56.00 56.00 56.00 56.00 56.00 56.00
-57 6 57 57 57.00 57.00 57.00 57.00 57.00 57.00 57.00 57.00
+54 5 54 54 54 54 54 54 54 54 54 54
+55 6 55 55 55 55 55 55 55 55 55 55
+56 6 56 56 56 56 56 56 56 56 56 56
+57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
61 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
62 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -3022,7 +3022,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
diff --git a/mysql-test/r/ps_4heap.result b/mysql-test/r/ps_4heap.result
index 4372c470b2d..84bf7a6fa00 100644
--- a/mysql-test/r/ps_4heap.result
+++ b/mysql-test/r/ps_4heap.result
@@ -2569,10 +2569,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -2592,10 +2592,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -2615,10 +2615,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -2638,10 +2638,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -2663,10 +2663,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -2688,10 +2688,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -2713,10 +2713,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -2738,10 +2738,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -2807,7 +2807,7 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
54 5 54 54 54 54 54 54 54 54 54 54
-55 5 55 55 55 55 55 55 55 55 55 55
+55 6 55 55 55 55 55 55 55 55 55 55
56 6 56 56 56 56 56 56 56 56 56 56
57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -3023,7 +3023,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
diff --git a/mysql-test/r/ps_5merge.result b/mysql-test/r/ps_5merge.result
index 35a43f7c032..61d2822fd5b 100644
--- a/mysql-test/r/ps_5merge.result
+++ b/mysql-test/r/ps_5merge.result
@@ -2505,10 +2505,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -2528,10 +2528,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -2551,10 +2551,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -2574,10 +2574,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -2599,10 +2599,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -2624,10 +2624,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -2649,10 +2649,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -2674,10 +2674,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -2742,10 +2742,10 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
51 5 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
-54 5 54 54 54.00 54.00 54.00 54.00 54.00 54.00 54.00 54.00
-55 5 55 55 55 55 55 55 55 55 55 55
-56 6 56 56 56.00 56.00 56.00 56.00 56.00 56.00 56.00 56.00
-57 6 57 57 57.00 57.00 57.00 57.00 57.00 57.00 57.00 57.00
+54 5 54 54 54 54 54 54 54 54 54 54
+55 6 55 55 55 55 55 55 55 55 55 55
+56 6 56 56 56 56 56 56 56 56 56 56
+57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
61 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
62 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -2959,7 +2959,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
@@ -5527,10 +5527,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -5550,10 +5550,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -5573,10 +5573,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -5596,10 +5596,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -5621,10 +5621,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -5646,10 +5646,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -5671,10 +5671,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -5696,10 +5696,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -5764,10 +5764,10 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
51 5 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
-54 5 54 54 54.00 54.00 54.00 54.00 54.00 54.00 54.00 54.00
-55 5 55 55 55 55 55 55 55 55 55 55
-56 6 56 56 56.00 56.00 56.00 56.00 56.00 56.00 56.00 56.00
-57 6 57 57 57.00 57.00 57.00 57.00 57.00 57.00 57.00 57.00
+54 5 54 54 54 54 54 54 54 54 54 54
+55 6 55 55 55 55 55 55 55 55 55 55
+56 6 56 56 56 56 56 56 56 56 56 56
+57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
61 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
62 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -5981,7 +5981,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
diff --git a/mysql-test/r/select.result b/mysql-test/r/select.result
index ff2dd49e725..41dd44fc4d0 100644
--- a/mysql-test/r/select.result
+++ b/mysql-test/r/select.result
@@ -2784,26 +2784,26 @@ id select_type table type possible_keys key key_len ref rows Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL Select tables optimized away
select max(key1) from t1 where key1 <= 0.6158;
max(key1)
-0.615800023078918
+0.6158000230789185
select max(key2) from t2 where key2 <= 1.6158;
max(key2)
-1.61580002307892
+1.6158000230789185
select min(key1) from t1 where key1 >= 0.3762;
min(key1)
-0.376199990510941
+0.37619999051094055
select min(key2) from t2 where key2 >= 1.3762;
min(key2)
-1.37619996070862
+1.3761999607086182
select max(key1), min(key2) from t1, t2
where key1 <= 0.6158 and key2 >= 1.3762;
max(key1) min(key2)
-0.615800023078918 1.37619996070862
+0.6158000230789185 1.3761999607086182
select max(key1) from t1 where key1 <= 0.6158 and rand() + 0.5 >= 0.5;
max(key1)
-0.615800023078918
+0.6158000230789185
select min(key1) from t1 where key1 >= 0.3762 and rand() + 0.5 >= 0.5;
min(key1)
-0.376199990510941
+0.37619999051094055
DROP TABLE t1,t2;
CREATE TABLE t1 (i BIGINT UNSIGNED NOT NULL);
INSERT INTO t1 VALUES (10);
diff --git a/mysql-test/r/sp.result b/mysql-test/r/sp.result
index ac118d0bab2..b4af25efc1b 100644
--- a/mysql-test/r/sp.result
+++ b/mysql-test/r/sp.result
@@ -579,7 +579,7 @@ return 2.7182818284590452354|
set @e = e()|
select e(), @e|
e() @e
-2.71828182845905 2.71828182845905
+2.718281828459045 2.718281828459045
drop function if exists inc|
create function inc(i int) returns int
return i+1|
@@ -616,23 +616,23 @@ create function fun(d double, i int, u int unsigned) returns double
return mul(inc(i), fac(u)) / e()|
select fun(2.3, 3, 5)|
fun(2.3, 3, 5)
-176.582131762292
+176.58213176229233
insert into t2 values (append("xxx", "yyy"), mul(4,3), e())|
insert into t2 values (append("a", "b"), mul(2,mul(3,4)), fun(1.7, 4, 6))|
select * from t2 where s = append("a", "b")|
s i d
-ab 24 1324.36598821719
+ab 24 1324.3659882171924
select * from t2 where i = mul(4,3) or i = mul(mul(3,4),2) order by i|
s i d
-xxxyyy 12 2.71828182845905
-ab 24 1324.36598821719
+xxxyyy 12 2.718281828459045
+ab 24 1324.3659882171924
select * from t2 where d = e()|
s i d
-xxxyyy 12 2.71828182845905
+xxxyyy 12 2.718281828459045
select * from t2 order by i|
s i d
-xxxyyy 12 2.71828182845905
-ab 24 1324.36598821719
+xxxyyy 12 2.718281828459045
+ab 24 1324.3659882171924
delete from t2|
drop function e|
drop function inc|
@@ -5972,9 +5972,9 @@ CREATE TABLE t3 (f1 INT, f2 FLOAT)|
INSERT INTO t3 VALUES (1, 3.4), (1, 2), (1, 0.9), (2, 8), (2, 7)|
SELECT SUM(f2), bug25373(f1) FROM t3 GROUP BY bug25373(f1) WITH ROLLUP|
SUM(f2) bug25373(f1)
-6.30000007152557 1
+6.300000071525574 1
15 2
-21.3000000715256 NULL
+21.300000071525574 NULL
DROP FUNCTION bug25373|
DROP TABLE t3|
DROP DATABASE IF EXISTS mysqltest1|
diff --git a/mysql-test/r/strict.result b/mysql-test/r/strict.result
index 897c9072203..bdb7576f95e 100644
--- a/mysql-test/r/strict.result
+++ b/mysql-test/r/strict.result
@@ -873,14 +873,14 @@ Warning 1264 Out of range value for column 'col2' at row 1
SELECT * FROM t1;
col1 col2
-1.1e-37 0
-3.4e+38 3.4e+38
+3.4e38 3.4e38
-1.1e-37 0
-3.4e+38 3.4e+38
+3.4e38 3.4e38
0 NULL
2 NULL
NULL NULL
-3.40282e+38 0
-3.40282e+38 0
+3.40282e38 0
+3.40282e38 0
DROP TABLE t1;
CREATE TABLE t1 (col1 DOUBLE PRECISION, col2 DOUBLE PRECISION UNSIGNED);
INSERT INTO t1 VALUES (-2.2E-307,0),(2E-307,0),(+1.7E+308,+1.7E+308);
@@ -922,14 +922,14 @@ SELECT * FROM t1;
col1 col2
-2.2e-307 0
1e-303 0
-NULL 1.7e+308
+NULL 1.7e308
-2.2e-307 0
-2e-307 0
-NULL 1.7e+308
+NULL 1.7e308
0 NULL
2 NULL
NULL NULL
-1.79769313486232e+308 0
+1.7976931348623157e308 0
DROP TABLE t1;
CREATE TABLE t1 (col1 CHAR(5), col2 VARCHAR(6));
INSERT INTO t1 VALUES ('hello', 'hello'),('he', 'he'),('hello ', 'hello ');
diff --git a/mysql-test/r/type_decimal.result b/mysql-test/r/type_decimal.result
index 67898b7f335..d131fa2b4d5 100644
--- a/mysql-test/r/type_decimal.result
+++ b/mysql-test/r/type_decimal.result
@@ -796,6 +796,18 @@ SELECT ROUND(qty,3), dps, ROUND(qty,dps) FROM t1;
ROUND(qty,3) dps ROUND(qty,dps)
1.133 3 1.133000
DROP TABLE t1;
+create table t1 (c1 decimal(10,6));
+insert into t1 (c1) values (9.99e-4);
+insert into t1 (c1) values (9.98e-4);
+insert into t1 (c1) values (0.000999);
+insert into t1 (c1) values (cast(9.99e-4 as decimal(10,6)));
+select * from t1;
+c1
+0.000999
+0.000998
+0.000999
+0.000999
+drop table t1;
SELECT 1 % .123456789123456789123456789123456789123456789123456789123456789123456789123456789 AS '%';
%
0.012345687012345687012345687012345687012345687012345687012345687012345687000000000
diff --git a/mysql-test/r/type_float.result b/mysql-test/r/type_float.result
index a3a13bb0435..546e281ee67 100644
--- a/mysql-test/r/type_float.result
+++ b/mysql-test/r/type_float.result
@@ -2,9 +2,9 @@ drop table if exists t1,t2;
SELECT 10,10.0,10.,.1e+2,100.0e-1;
10 10.0 10. .1e+2 100.0e-1
10 10.0 10 10 10
-SELECT 6e-05, -6e-05, --6e-05, -6e-05+1.000000;
-6e-05 -6e-05 --6e-05 -6e-05+1.000000
-6e-05 -6e-05 6e-05 0.99994
+SELECT 6e-16, -6e-16, --6e-16, -6e-16+1.000000;
+6e-16 -6e-16 --6e-16 -6e-16+1.000000
+6e-16 -6e-16 6e-16 0.9999999999999994
SELECT 1e1,1.e1,1.0e1,1e+1,1.e+1,1.0e+1,1e-1,1.e-1,1.0e-1;
1e1 1.e1 1.0e1 1e+1 1.e+1 1.0e+1 1e-1 1.e-1 1.0e-1
10 10 10 10 10 10 0.1 0.1 0.1
@@ -31,16 +31,16 @@ select * from t1;
f1 f2
10 10
100000 100000
-1.23457e+09 1234567890
-1e+10 10000000000
-1e+15 1e+15
-1e+20 1e+20
-3.40282e+38 1e+50
-3.40282e+38 1e+150
+1234570000 1234567890
+10000000000 10000000000
+1e15 1e15
+1e20 1e20
+3.40282e38 1e50
+3.40282e38 1e150
-10 -10
-1e-05 1e-05
-1e-10 1e-10
-1e-15 1e-15
+0.00001 0.00001
+0.0000000001 0.0000000001
+0.000000000000001 0.000000000000001
1e-20 1e-20
0 1e-50
0 1e-150
@@ -87,7 +87,7 @@ col
create table t2 select c1 + c1 * (c2 / 100) as col1, round(c1, 5) as col2, round(c1, 35) as col3, sqrt(c1*1e-15) col4 from t1;
select * from t2;
col1 col2 col3 col4
-140.36 121.00000 121 3.47850542618522e-07
+140.36 121.00000 121 0.00000034785054261852176
show create table t2;
Table Create Table
t2 CREATE TABLE `t2` (
@@ -201,9 +201,9 @@ insert into t1 values (2e5),(2e6),(2e-4),(2e-5);
select * from t1;
c
200000
-2e+06
+2e6
0.0002
-2e-05
+2e-5
drop table t1;
CREATE TABLE t1 (
reckey int unsigned NOT NULL,
@@ -267,7 +267,7 @@ select 1e-308, 1.00000001e-300, 100000000e-300;
1e-308 1.00000001e-300 1e-292
select 10e307;
10e307
-1e+308
+1e308
create table t1(a int, b double(8, 2));
insert into t1 values
(1, 28.50), (1, 121.85), (1, 157.23), (1, 1351.00), (1, -1965.35), (1, 81.75),
@@ -369,12 +369,12 @@ Warning 1264 Out of range value for column 'f1' at row 1
Warning 1264 Out of range value for column 'f1' at row 2
select f1 + 0e0 from t1;
f1 + 0e0
-1e+199
--1e+199
-1e+200
--1e+200
-1e+200
--1e+200
+1e199
+-1e199
+1e200
+-1e200
+1e200
+-1e200
drop table t1;
create table t1 (f1 float(30, 0));
insert into t1 values (1e29), (-1e29);
@@ -385,12 +385,36 @@ Warning 1264 Out of range value for column 'f1' at row 1
Warning 1264 Out of range value for column 'f1' at row 2
select f1 + 0e0 from t1;
f1 + 0e0
-1.00000001504747e+29
--1.00000001504747e+29
-1.00000001504747e+30
--1.00000001504747e+30
-1.00000001504747e+30
--1.00000001504747e+30
+1.0000000150474662e29
+-1.0000000150474662e29
+1.0000000150474662e30
+-1.0000000150474662e30
+1.0000000150474662e30
+-1.0000000150474662e30
+drop table t1;
+create table t1 (c char(6));
+insert into t1 values (2e6),(2e-5);
+select * from t1;
+c
+2e6
+2e-5
+drop table t1;
+CREATE TABLE d1 (d DOUBLE);
+INSERT INTO d1 VALUES (1.7976931348623157E+308);
+SELECT * FROM d1;
+d
+1.7976931348623157e308
+INSERT INTO d1 VALUES (1.79769313486232e+308);
+ERROR 22007: Illegal double '1.79769313486232e+308' value found during parsing
+SELECT * FROM d1;
+d
+1.7976931348623157e308
+DROP TABLE d1;
+create table t1 (a char(20));
+insert into t1 values (1.225e-05);
+select a+0 from t1;
+a+0
+0.00001225
drop table t1;
create table t1(d double, u bigint unsigned);
insert into t1(d) values (9.22337203685479e18),
@@ -405,6 +429,6 @@ CREATE TABLE t1 (f1 DOUBLE);
INSERT INTO t1 VALUES(-1.79769313486231e+308);
SELECT f1 FROM t1;
f1
--1.79769313486231e+308
+-1.79769313486231e308
DROP TABLE t1;
End of 5.0 tests
diff --git a/mysql-test/r/type_newdecimal.result b/mysql-test/r/type_newdecimal.result
index 172b343e003..00526597a32 100644
--- a/mysql-test/r/type_newdecimal.result
+++ b/mysql-test/r/type_newdecimal.result
@@ -917,7 +917,7 @@ cast('1.00000001335143196001808973960578441619873046875E-10' as decimal(30,15))
0.000000000100000
select ln(14000) c1, convert(ln(14000),decimal(5,3)) c2, cast(ln(14000) as decimal(5,3)) c3;
c1 c2 c3
-9.5468126085974 9.547 9.547
+9.546812608597396 9.547 9.547
select convert(ln(14000),decimal(2,3)) c1;
ERROR 42000: For float(M,D), double(M,D) or decimal(M,D), M must be >= D (column '').
select cast(ln(14000) as decimal(2,3)) c1;
@@ -1141,17 +1141,17 @@ my_float my_double my_varchar
1.17549e-18 1.175494345e-18 1.175494345e-18
1.17549e-17 1.175494345e-17 1.175494345e-17
1.17549e-16 1.175494345e-16 1.175494345e-16
-1.17549e-15 1.175494345e-15 1.175494345e-15
-1.17549e-14 1.175494345e-14 1.175494345e-14
-1.17549e-13 1.175494345e-13 1.175494345e-13
-1.17549e-12 1.175494345e-12 1.175494345e-12
-1.17549e-11 1.175494345e-11 1.175494345e-11
-1.17549e-10 1.175494345e-10 1.175494345e-10
-1.17549e-09 1.175494345e-09 1.175494345e-9
-1.17549e-08 1.175494345e-08 1.175494345e-8
-1.17549e-07 1.175494345e-07 1.175494345e-7
-1.17549e-06 1.175494345e-06 1.175494345e-6
-1.17549e-05 1.175494345e-05 1.175494345e-5
+0.00000000000000117549 0.000000000000001175494345 1.175494345e-15
+0.0000000000000117549 0.00000000000001175494345 1.175494345e-14
+0.000000000000117549 0.0000000000001175494345 1.175494345e-13
+0.00000000000117549 0.000000000001175494345 1.175494345e-12
+0.0000000000117549 0.00000000001175494345 1.175494345e-11
+0.000000000117549 0.0000000001175494345 1.175494345e-10
+0.00000000117549 0.000000001175494345 1.175494345e-9
+0.0000000117549 0.00000001175494345 1.175494345e-8
+0.000000117549 0.0000001175494345 1.175494345e-7
+0.00000117549 0.000001175494345 1.175494345e-6
+0.0000117549 0.00001175494345 1.175494345e-5
0.000117549 0.0001175494345 1.175494345e-4
0.00117549 0.001175494345 1.175494345e-3
0.0117549 0.01175494345 1.175494345e-2
@@ -1175,21 +1175,21 @@ CAST(my_float AS DECIMAL(65,30)) my_float
0.000000000000000001175494374380 1.17549e-18
0.000000000000000011754943743802 1.17549e-17
0.000000000000000117549432474939 1.17549e-16
-0.000000000000001175494324749389 1.17549e-15
-0.000000000000011754943671010360 1.17549e-14
-0.000000000000117549429933840000 1.17549e-13
-0.000000000001175494380653563000 1.17549e-12
-0.000000000011754943372854760000 1.17549e-11
-0.000000000117549428524377200000 1.17549e-10
-0.000000001175494368510499000000 1.17549e-09
-0.000000011754943685104990000000 1.17549e-08
-0.000000117549433298336200000000 1.17549e-07
-0.000001175494389826781000000000 1.17549e-06
-0.000011754943443520460000000000 1.17549e-05
+0.000000000000001175494324749389 0.00000000000000117549
+0.000000000000011754943671010362 0.0000000000000117549
+0.000000000000117549429933840040 0.000000000000117549
+0.000000000001175494380653563400 0.00000000000117549
+0.000000000011754943372854765000 0.0000000000117549
+0.000000000117549428524377220000 0.000000000117549
+0.000000001175494368510499000000 0.00000000117549
+0.000000011754943685104990000000 0.0000000117549
+0.000000117549433298336230000000 0.000000117549
+0.000001175494389826781100000000 0.00000117549
+0.000011754943443520460000000000 0.0000117549
0.000117549432616215200000000000 0.000117549
-0.001175494398921728000000000000 0.00117549
-0.011754943057894710000000000000 0.0117549
-0.117549434304237400000000000000 0.117549
+0.001175494398921728100000000000 0.00117549
+0.011754943057894707000000000000 0.0117549
+0.117549434304237370000000000000 0.117549
SELECT CAST(my_double AS DECIMAL(65,30)), my_double FROM t1;
CAST(my_double AS DECIMAL(65,30)) my_double
0.000000000000000000000000000000 1.175494345e-32
@@ -1209,17 +1209,17 @@ CAST(my_double AS DECIMAL(65,30)) my_double
0.000000000000000001175494345000 1.175494345e-18
0.000000000000000011754943450000 1.175494345e-17
0.000000000000000117549434500000 1.175494345e-16
-0.000000000000001175494345000000 1.175494345e-15
-0.000000000000011754943450000000 1.175494345e-14
-0.000000000000117549434500000000 1.175494345e-13
-0.000000000001175494345000000000 1.175494345e-12
-0.000000000011754943450000000000 1.175494345e-11
-0.000000000117549434500000000000 1.175494345e-10
-0.000000001175494345000000000000 1.175494345e-09
-0.000000011754943450000000000000 1.175494345e-08
-0.000000117549434500000000000000 1.175494345e-07
-0.000001175494345000000000000000 1.175494345e-06
-0.000011754943450000000000000000 1.175494345e-05
+0.000000000000001175494345000000 0.000000000000001175494345
+0.000000000000011754943450000000 0.00000000000001175494345
+0.000000000000117549434500000000 0.0000000000001175494345
+0.000000000001175494345000000000 0.000000000001175494345
+0.000000000011754943450000000000 0.00000000001175494345
+0.000000000117549434500000000000 0.0000000001175494345
+0.000000001175494345000000000000 0.000000001175494345
+0.000000011754943450000000000000 0.00000001175494345
+0.000000117549434500000000000000 0.0000001175494345
+0.000001175494345000000000000000 0.000001175494345
+0.000011754943450000000000000000 0.00001175494345
0.000117549434500000000000000000 0.0001175494345
0.001175494345000000000000000000 0.001175494345
0.011754943450000000000000000000 0.01175494345
@@ -1278,21 +1278,21 @@ my_decimal my_float
0.000000000000000001175494374380 1.17549e-18
0.000000000000000011754943743802 1.17549e-17
0.000000000000000117549432474939 1.17549e-16
-0.000000000000001175494324749389 1.17549e-15
-0.000000000000011754943671010360 1.17549e-14
-0.000000000000117549429933840000 1.17549e-13
-0.000000000001175494380653563000 1.17549e-12
-0.000000000011754943372854760000 1.17549e-11
-0.000000000117549428524377200000 1.17549e-10
-0.000000001175494368510499000000 1.17549e-09
-0.000000011754943685104990000000 1.17549e-08
-0.000000117549433298336200000000 1.17549e-07
-0.000001175494389826781000000000 1.17549e-06
-0.000011754943443520460000000000 1.17549e-05
+0.000000000000001175494324749389 0.00000000000000117549
+0.000000000000011754943671010362 0.0000000000000117549
+0.000000000000117549429933840040 0.000000000000117549
+0.000000000001175494380653563400 0.00000000000117549
+0.000000000011754943372854765000 0.0000000000117549
+0.000000000117549428524377220000 0.000000000117549
+0.000000001175494368510499000000 0.00000000117549
+0.000000011754943685104990000000 0.0000000117549
+0.000000117549433298336230000000 0.000000117549
+0.000001175494389826781100000000 0.00000117549
+0.000011754943443520460000000000 0.0000117549
0.000117549432616215200000000000 0.000117549
-0.001175494398921728000000000000 0.00117549
-0.011754943057894710000000000000 0.0117549
-0.117549434304237400000000000000 0.117549
+0.001175494398921728100000000000 0.00117549
+0.011754943057894707000000000000 0.0117549
+0.117549434304237370000000000000 0.117549
UPDATE t1 SET my_decimal = my_double;
SELECT my_decimal, my_double FROM t1;
my_decimal my_double
@@ -1313,17 +1313,17 @@ my_decimal my_double
0.000000000000000001175494345000 1.175494345e-18
0.000000000000000011754943450000 1.175494345e-17
0.000000000000000117549434500000 1.175494345e-16
-0.000000000000001175494345000000 1.175494345e-15
-0.000000000000011754943450000000 1.175494345e-14
-0.000000000000117549434500000000 1.175494345e-13
-0.000000000001175494345000000000 1.175494345e-12
-0.000000000011754943450000000000 1.175494345e-11
-0.000000000117549434500000000000 1.175494345e-10
-0.000000001175494345000000000000 1.175494345e-09
-0.000000011754943450000000000000 1.175494345e-08
-0.000000117549434500000000000000 1.175494345e-07
-0.000001175494345000000000000000 1.175494345e-06
-0.000011754943450000000000000000 1.175494345e-05
+0.000000000000001175494345000000 0.000000000000001175494345
+0.000000000000011754943450000000 0.00000000000001175494345
+0.000000000000117549434500000000 0.0000000000001175494345
+0.000000000001175494345000000000 0.000000000001175494345
+0.000000000011754943450000000000 0.00000000001175494345
+0.000000000117549434500000000000 0.0000000001175494345
+0.000000001175494345000000000000 0.000000001175494345
+0.000000011754943450000000000000 0.00000001175494345
+0.000000117549434500000000000000 0.0000001175494345
+0.000001175494345000000000000000 0.000001175494345
+0.000011754943450000000000000000 0.00001175494345
0.000117549434500000000000000000 0.0001175494345
0.001175494345000000000000000000 0.001175494345
0.011754943450000000000000000000 0.01175494345
diff --git a/mysql-test/r/variables.result b/mysql-test/r/variables.result
index f98872d93b3..95e374cc384 100644
--- a/mysql-test/r/variables.result
+++ b/mysql-test/r/variables.result
@@ -57,7 +57,7 @@ select @`select`,@not_used;
set @test_int=10,@test_double=1e-10,@test_string="abcdeghi",@test_string2="abcdefghij",@select=NULL;
select @test_int,@test_double,@test_string,@test_string2,@select;
@test_int @test_double @test_string @test_string2 @select
-10 1e-10 abcdeghi abcdefghij NULL
+10 0.0000000001 abcdeghi abcdefghij NULL
set @test_int="hello",@test_double="hello",@test_string="hello",@test_string2="hello";
select @test_int,@test_double,@test_string,@test_string2;
@test_int @test_double @test_string @test_string2
diff --git a/mysql-test/r/view.result b/mysql-test/r/view.result
index b10c542f644..a54db7240a4 100644
--- a/mysql-test/r/view.result
+++ b/mysql-test/r/view.result
@@ -2590,7 +2590,7 @@ CREATE VIEW v1 AS SELECT SQRT(a) my_sqrt FROM t1;
SELECT my_sqrt FROM v1 ORDER BY my_sqrt;
my_sqrt
1
-1.4142135623731
+1.4142135623730951
DROP VIEW v1;
DROP TABLE t1;
CREATE TABLE t1 (id int PRIMARY KEY);
diff --git a/mysql-test/std_data/ndb_backup51_data_be/BACKUP-1-0.1.Data b/mysql-test/std_data/ndb_backup51_data_be/BACKUP-1-0.1.Data
index 2df8080956a..267039d757e 100644
--- a/mysql-test/std_data/ndb_backup51_data_be/BACKUP-1-0.1.Data
+++ b/mysql-test/std_data/ndb_backup51_data_be/BACKUP-1-0.1.Data
Binary files differ
diff --git a/mysql-test/std_data/ndb_backup51_data_le/BACKUP-1-0.2.Data b/mysql-test/std_data/ndb_backup51_data_le/BACKUP-1-0.2.Data
index 2c6f93e93b6..067fc6b716d 100644
--- a/mysql-test/std_data/ndb_backup51_data_le/BACKUP-1-0.2.Data
+++ b/mysql-test/std_data/ndb_backup51_data_le/BACKUP-1-0.2.Data
Binary files differ
diff --git a/mysql-test/suite/ndb/r/ndb_gis.result b/mysql-test/suite/ndb/r/ndb_gis.result
index 61d15b7cb98..54772f596c3 100644
--- a/mysql-test/suite/ndb/r/ndb_gis.result
+++ b/mysql-test/suite/ndb/r/ndb_gis.result
@@ -266,7 +266,7 @@ fid AsText(EndPoint(g))
107 POINT(40 10)
SELECT fid, GLength(g) FROM gis_line ORDER by fid;
fid GLength(g)
-105 24.142135623731
+105 24.14213562373095
106 40
107 30
SELECT fid, NumPoints(g) FROM gis_line ORDER by fid;
@@ -292,7 +292,7 @@ Note 1003 select astext(startpoint(`test`.`gis_line`.`g`)) AS `AsText(StartPoint
SELECT fid, AsText(Centroid(g)) FROM gis_polygon ORDER by fid;
fid AsText(Centroid(g))
108 POINT(15 15)
-109 POINT(25.4166666666667 25.4166666666667)
+109 POINT(25.416666666666668 25.416666666666668)
110 POINT(20 10)
SELECT fid, Area(g) FROM gis_polygon ORDER by fid;
fid Area(g)
@@ -326,8 +326,8 @@ fid IsClosed(g)
116 0
SELECT fid, AsText(Centroid(g)) FROM gis_multi_polygon ORDER by fid;
fid AsText(Centroid(g))
-117 POINT(55.5885277530424 17.426536064114)
-118 POINT(55.5885277530424 17.426536064114)
+117 POINT(55.58852775304245 17.426536064113982)
+118 POINT(55.58852775304245 17.426536064113982)
119 POINT(2 2)
SELECT fid, Area(g) FROM gis_multi_polygon ORDER by fid;
fid Area(g)
@@ -816,7 +816,7 @@ fid AsText(EndPoint(g))
107 POINT(40 10)
SELECT fid, GLength(g) FROM gis_line ORDER by fid;
fid GLength(g)
-105 24.142135623731
+105 24.14213562373095
106 40
107 30
SELECT fid, NumPoints(g) FROM gis_line ORDER by fid;
@@ -842,7 +842,7 @@ Note 1003 select astext(startpoint(`test`.`gis_line`.`g`)) AS `AsText(StartPoint
SELECT fid, AsText(Centroid(g)) FROM gis_polygon ORDER by fid;
fid AsText(Centroid(g))
108 POINT(15 15)
-109 POINT(25.4166666666667 25.4166666666667)
+109 POINT(25.416666666666668 25.416666666666668)
110 POINT(20 10)
SELECT fid, Area(g) FROM gis_polygon ORDER by fid;
fid Area(g)
@@ -876,8 +876,8 @@ fid IsClosed(g)
116 0
SELECT fid, AsText(Centroid(g)) FROM gis_multi_polygon ORDER by fid;
fid AsText(Centroid(g))
-117 POINT(55.5885277530424 17.426536064114)
-118 POINT(55.5885277530424 17.426536064114)
+117 POINT(55.58852775304245 17.426536064113982)
+118 POINT(55.58852775304245 17.426536064113982)
119 POINT(2 2)
SELECT fid, Area(g) FROM gis_multi_polygon ORDER by fid;
fid Area(g)
diff --git a/mysql-test/suite/ndb/r/ndb_restore_different_endian_data.result b/mysql-test/suite/ndb/r/ndb_restore_different_endian_data.result
index e552de8d854..b101c93d156 100644
--- a/mysql-test/suite/ndb/r/ndb_restore_different_endian_data.result
+++ b/mysql-test/suite/ndb/r/ndb_restore_different_endian_data.result
@@ -79,7 +79,7 @@ t_pk t_date t_datetime t_timestamp t_time t_year
1 1998-01-01 2006-08-10 10:11:12 2002-10-29 16:51:06 19:38:34 2155
SELECT t_pk,hex(t_bit),t_tinyint,t_bool,t_smallint,t_mediumint,t_int,t_bigint,t_float,t_double,t_decimal FROM t_num;
t_pk hex(t_bit) t_tinyint t_bool t_smallint t_mediumint t_int t_bigint t_float t_double t_decimal
-1 AAAAAAAAAAAAAAAA 125 1 32765 8388606 2147483647 9223372036854775807 1e+20 1e+150 331.0000000000000000
+1 AAAAAAAAAAAAAAAA 125 1 32765 8388606 2147483647 9223372036854775807 1e20 1e150 331.0000000000000000
SELECT t_pk,t_char,t_varchar,hex(t_binary),hex(t_varbinary) FROM t_string_1;
t_pk t_char t_varchar hex(t_binary) hex(t_varbinary)
1 abcdefghijklmn abcdefghijklmnabcdefghijklmnabcdefghijklmnabcdefghijklmn 612020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 4100
@@ -178,7 +178,7 @@ t_pk t_date t_datetime t_timestamp t_time t_year
1 1998-01-01 2006-08-10 10:11:12 2002-10-29 16:51:06 19:38:34 2155
SELECT t_pk,hex(t_bit),t_tinyint,t_bool,t_smallint,t_mediumint,t_int,t_bigint,t_float,t_double,t_decimal FROM t_num;
t_pk hex(t_bit) t_tinyint t_bool t_smallint t_mediumint t_int t_bigint t_float t_double t_decimal
-1 AAAAAAAAAAAAAAAA 125 1 32765 8388606 2147483647 9223372036854775807 1e+20 1e+150 331.0000000000000000
+1 AAAAAAAAAAAAAAAA 125 1 32765 8388606 2147483647 9223372036854775807 1e20 1e150 331.0000000000000000
SELECT t_pk,t_char,t_varchar,hex(t_binary),hex(t_varbinary) FROM t_string_1;
t_pk t_char t_varchar hex(t_binary) hex(t_varbinary)
1 abcdefghijklmn abcdefghijklmnabcdefghijklmnabcdefghijklmnabcdefghijklmn 612020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 4100
diff --git a/mysql-test/suite/ndb/r/ps_7ndb.result b/mysql-test/suite/ndb/r/ps_7ndb.result
index e57fdcb6df6..fcb2d641cf0 100644
--- a/mysql-test/suite/ndb/r/ps_7ndb.result
+++ b/mysql-test/suite/ndb/r/ps_7ndb.result
@@ -2568,10 +2568,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= '9223372036854775807' ;
@@ -2591,10 +2591,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 9.22337e+18
-c8 9.22337203685478e+18
-c9 9.22337203685478e+18
-c10 9.22337203685478e+18
+c7 9.22337e18
+c8 9.223372036854776e18
+c9 9.223372036854776e18
+c10 9.223372036854776e18
c12 9999.9999
execute my_delete ;
set @arg00= -9223372036854775808 ;
@@ -2614,10 +2614,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= '-9223372036854775808' ;
@@ -2637,10 +2637,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -9.22337e+18
-c8 -9.22337203685478e+18
-c9 -9.22337203685478e+18
-c10 -9.22337203685478e+18
+c7 -9.22337e18
+c8 -9.223372036854776e18
+c9 -9.223372036854776e18
+c10 -9.223372036854776e18
c12 -9999.9999
execute my_delete ;
set @arg00= 1.11111111111111111111e+50 ;
@@ -2662,10 +2662,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= '1.11111111111111111111e+50' ;
@@ -2687,10 +2687,10 @@ c3 8388607
c4 2147483647
c5 2147483647
c6 9223372036854775807
-c7 3.40282e+38
-c8 1.11111111111111e+50
-c9 1.11111111111111e+50
-c10 1.11111111111111e+50
+c7 3.40282e38
+c8 1.111111111111111e50
+c9 1.111111111111111e50
+c10 1.111111111111111e50
c12 9999.9999
execute my_delete ;
set @arg00= -1.11111111111111111111e+50 ;
@@ -2712,10 +2712,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
set @arg00= '-1.11111111111111111111e+50' ;
@@ -2737,10 +2737,10 @@ c3 -8388608
c4 -2147483648
c5 -2147483648
c6 -9223372036854775808
-c7 -3.40282e+38
-c8 -1.11111111111111e+50
-c9 -1.11111111111111e+50
-c10 -1.11111111111111e+50
+c7 -3.40282e38
+c8 -1.111111111111111e50
+c9 -1.111111111111111e50
+c10 -1.111111111111111e50
c12 -9999.9999
execute my_delete ;
test_sequence
@@ -2805,10 +2805,10 @@ c1 c20 c21 c22 c23 c24 c25 c26 c27 c28 c29 c30
51 5 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0 51.0
52 5 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0 52.0
53 5 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0 53.0
-54 5 54 54 54.00 54.00 54.00 54.00 54.00 54.00 54.00 54.00
-55 5 55 55 55 55 55 55 55 55 55 55
-56 6 56 56 56.00 56.00 56.00 56.00 56.00 56.00 56.00 56.00
-57 6 57 57 57.00 57.00 57.00 57.00 57.00 57.00 57.00 57.00
+54 5 54 54 54 54 54 54 54 54 54 54
+55 6 55 55 55 55 55 55 55 55 55 55
+56 6 56 56 56 56 56 56 56 56 56 56
+57 6 57 57 57 57 57 57 57 57 57 57
60 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
61 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
62 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL
@@ -3022,7 +3022,7 @@ c1 c13 c14 c15 c16 c17
42 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
43 0000-00-00 0000-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
50 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
-51 2010-00-00 2010-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
+51 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
52 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
53 2001-00-00 2001-00-00 00:00:00 0000-00-00 00:00:00 838:59:59 0000
60 NULL NULL 1991-01-01 01:01:01 NULL NULL
diff --git a/mysql-test/t/cast.test b/mysql-test/t/cast.test
index 8e60d548c2f..f5426f8d631 100644
--- a/mysql-test/t/cast.test
+++ b/mysql-test/t/cast.test
@@ -177,8 +177,6 @@ select cast(1.0e+300 as signed int);
CREATE TABLE t1 (f1 double);
INSERT INTO t1 SET f1 = -1.0e+30 ;
INSERT INTO t1 SET f1 = +1.0e+30 ;
-# Expected result is +-1e+30, but Windows returns +-1e+030.
---replace_result 1e+030 1e+30
SELECT f1 AS double_val, CAST(f1 AS SIGNED INT) AS cast_val FROM t1;
DROP TABLE t1;
diff --git a/mysql-test/t/gis.test b/mysql-test/t/gis.test
index bc0695aaa93..70d73234ea8 100644
--- a/mysql-test/t/gis.test
+++ b/mysql-test/t/gis.test
@@ -353,6 +353,9 @@ insert into t1 values ('85984',GeomFromText('MULTIPOLYGON(((-115.006363
36.248666,-115.263639 36.247466,-115.263839 36.252766,-115.261439
36.252666,-115.261439 36.247366,-115.247239 36.247066)))'));
+# Expected result is 115.31877315203187, but IA64 returns 115.31877315203188
+# due to fused multiply-add instructions.
+--replace_result 115.31877315203188 115.31877315203187
select object_id, geometrytype(geo), ISSIMPLE(GEO), ASTEXT(centroid(geo)) from
t1 where object_id=85998;
diff --git a/mysql-test/t/insert.test b/mysql-test/t/insert.test
index 40d1464b86a..4f918504597 100644
--- a/mysql-test/t/insert.test
+++ b/mysql-test/t/insert.test
@@ -422,9 +422,6 @@ INSERT INTO t1(a,c) VALUES (1.87e-3, 1.87e-3);
INSERT INTO t1(a,c) VALUES (-1.87e-2, -1.87e-2);
INSERT INTO t1(a,c) VALUES (5000e+0, 5000e+0);
INSERT INTO t1(a,c) VALUES (-5000e+0, -5000e+0);
-# Expected results are "12.2" and "1.2e+78", but Windows returns "12.3" and
-# "1.3e+78" due to different rounding rules
---replace_result 12.3 12.2 1.3e+78 1.2e+78
SELECT * FROM t1;
DROP TABLE t1;
@@ -459,9 +456,6 @@ INSERT INTO t1(a,c) VALUES (-1.87e-2, -1.87e-2);
INSERT INTO t1(a,c) VALUES (5000e+0, 5000e+0);
INSERT INTO t1(a,c) VALUES (-5000e+0, -5000e+0);
-# Expected results are "12.2" and "1.2e+78", but Windows returns "12.3" and
-# "1.3e+78" due to different rounding rules
---replace_result 12.3 12.2 1.3e+78 1.2e+78
SELECT * FROM t1;
DROP TABLE t1;
diff --git a/mysql-test/t/mysqldump.test b/mysql-test/t/mysqldump.test
index 07ab9cecd28..94b209305f6 100644
--- a/mysql-test/t/mysqldump.test
+++ b/mysql-test/t/mysqldump.test
@@ -46,9 +46,6 @@ DROP TABLE t1;
CREATE TABLE t1 (a double);
INSERT INTO t1 VALUES ('-9e999999');
-# The following replaces is here because some systems replaces the above
-# double with '-inf' and others with MAX_DOUBLE
---replace_result (-1.79769313486232e+308) (RES) (NULL) (RES)
--exec $MYSQL_DUMP --compact test t1
DROP TABLE t1;
diff --git a/mysql-test/t/parser.test b/mysql-test/t/parser.test
index e579e371184..e6c9c8b423f 100644
--- a/mysql-test/t/parser.test
+++ b/mysql-test/t/parser.test
@@ -646,6 +646,10 @@ select conv(255 AS p1, 10 AS p2, 16 AS p3);
# Native function with a variable number of arguments
+# Bug in libm.so on Solaris:
+# atan(10) from 32-bit version returns 1.4711276743037347
+# atan(10) from 64-bit version returns 1.4711276743037345
+--replace_result 1.4711276743037345 1.4711276743037347
select atan(10);
-- error ER_WRONG_PARAMETERS_TO_NATIVE_FCT
select atan(10 AS p1);
diff --git a/mysql-test/t/type_decimal.test b/mysql-test/t/type_decimal.test
index dfe36ed0905..5d9a2aaa5f4 100644
--- a/mysql-test/t/type_decimal.test
+++ b/mysql-test/t/type_decimal.test
@@ -410,6 +410,18 @@ SELECT ROUND(qty,3), dps, ROUND(qty,dps) FROM t1;
DROP TABLE t1;
#
+# Bug #24541: "Data truncated..." on decimal type columns without any good reason
+#
+
+create table t1 (c1 decimal(10,6));
+insert into t1 (c1) values (9.99e-4);
+insert into t1 (c1) values (9.98e-4);
+insert into t1 (c1) values (0.000999);
+insert into t1 (c1) values (cast(9.99e-4 as decimal(10,6)));
+select * from t1;
+drop table t1;
+
+#
# Bug#31019: MOD() function and operator crashes MySQL when
# divisor is very long and < 1
#
diff --git a/mysql-test/t/type_float.test b/mysql-test/t/type_float.test
index 3b7b30db6f8..45cf80aab5c 100644
--- a/mysql-test/t/type_float.test
+++ b/mysql-test/t/type_float.test
@@ -7,7 +7,7 @@ drop table if exists t1,t2;
--enable_warnings
SELECT 10,10.0,10.,.1e+2,100.0e-1;
-SELECT 6e-05, -6e-05, --6e-05, -6e-05+1.000000;
+SELECT 6e-16, -6e-16, --6e-16, -6e-16+1.000000;
SELECT 1e1,1.e1,1.0e1,1e+1,1.e+1,1.0e+1,1e-1,1.e-1,1.0e-1;
SELECT 0.001e+1,0.001e-1, -0.001e+01,-0.001e-01;
SELECT 123.23E+02,-123.23E-02,"123.23E+02"+0.0,"-123.23E-02"+0.0;
@@ -252,6 +252,37 @@ insert into t1 values (2e30), (-2e30);
select f1 + 0e0 from t1;
drop table t1;
+#
+# Bug #12860 "Difference in zero padding of exponent between Unix and Windows"
+#
+
+create table t1 (c char(6));
+insert into t1 values (2e6),(2e-5);
+select * from t1;
+drop table t1;
+
+#
+# Bug #21497 "DOUBLE truncated to unusable value"
+#
+
+CREATE TABLE d1 (d DOUBLE);
+INSERT INTO d1 VALUES (1.7976931348623157E+308);
+SELECT * FROM d1;
+--error ER_ILLEGAL_VALUE_FOR_TYPE
+INSERT INTO d1 VALUES (1.79769313486232e+308);
+SELECT * FROM d1;
+DROP TABLE d1;
+
+#
+# Bug #26788 "mysqld (debug) aborts when inserting specific numbers into char
+# fields"
+#
+
+create table t1 (a char(20));
+insert into t1 values (1.225e-05);
+select a+0 from t1;
+drop table t1;
+
#
# Bug #27483: Casting 'scientific notation type' to 'unsigned bigint' fails on
# windows.
diff --git a/mysql-test/t/type_newdecimal.test b/mysql-test/t/type_newdecimal.test
index 2cf7ab8fbdf..8af9d4c263e 100644
--- a/mysql-test/t/type_newdecimal.test
+++ b/mysql-test/t/type_newdecimal.test
@@ -1054,10 +1054,8 @@ while ($max_power)
}
SELECT my_float, my_double, my_varchar FROM t1;
-# Expected result 0.000000000011754943372854760000
-# On windows we get 0.000000000011754943372854770000
-# use replace_result to correct it
---replace_result 0.000000000011754943372854770000 0.000000000011754943372854760000
+# The following statement produces results with garbage past
+# the significant digits. Improving it is a part of the WL#3977.
SELECT CAST(my_float AS DECIMAL(65,30)), my_float FROM t1;
SELECT CAST(my_double AS DECIMAL(65,30)), my_double FROM t1;
SELECT CAST(my_varchar AS DECIMAL(65,30)), my_varchar FROM t1;
diff --git a/sql/field.cc b/sql/field.cc
index 0934bb04ccd..56da32959f9 100644
--- a/sql/field.cc
+++ b/sql/field.cc
@@ -31,9 +31,6 @@
#include "slave.h" // Pull in rpl_master_has_bug()
#include <m_ctype.h>
#include <errno.h>
-#ifdef HAVE_FCONVERT
-#include <floatingpoint.h>
-#endif
// Maximum allowed exponent value for converting string to decimal
#define MAX_EXPONENT 1024
@@ -50,7 +47,7 @@ template class List_iterator<Create_field>;
uchar Field_null::null[1]={1};
const char field_separator=',';
-#define DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE 320
+#define DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE FLOATING_POINT_BUFFER
#define LONGLONG_TO_STRING_CONVERSION_BUFFER_SIZE 128
#define DECIMAL_TO_STRING_CONVERSION_BUFFER_SIZE 128
#define BLOB_PACK_LENGTH_TO_MAX_LENGH(arg) \
@@ -2304,13 +2301,7 @@ int Field_decimal::store(double nr)
char buff[DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE];
fyllchar = zerofill ? (char) '0' : (char) ' ';
-#ifdef HAVE_SNPRINTF
- buff[sizeof(buff)-1]=0; // Safety
- snprintf(buff,sizeof(buff)-1, "%.*f",(int) dec,nr);
- length= strlen(buff);
-#else
- length= my_sprintf(buff,(buff,"%.*f",dec,nr));
-#endif
+ length= my_fcvt(nr, dec, buff, NULL);
if (length > field_length)
{
@@ -2723,17 +2714,6 @@ int Field_new_decimal::store(double nr)
err= double2my_decimal(E_DEC_FATAL_ERROR & ~E_DEC_OVERFLOW, nr,
&decimal_value);
- /*
- TODO: fix following when double2my_decimal when double2decimal
- will return E_DEC_TRUNCATED always correctly
- */
- if (!err)
- {
- double nr2;
- my_decimal2double(E_DEC_FATAL_ERROR, &decimal_value, &nr2);
- if (nr2 != nr)
- err= E_DEC_TRUNCATED;
- }
if (err)
{
if (check_overflow(err))
@@ -4231,67 +4211,20 @@ String *Field_float::val_str(String *val_buffer,
uint to_length=max(field_length,70);
val_buffer->alloc(to_length);
char *to=(char*) val_buffer->ptr();
+ size_t len;
if (dec >= NOT_FIXED_DEC)
- {
- sprintf(to,"%-*.*g",(int) field_length,FLT_DIG,nr);
- to=strcend(to,' ');
- *to=0;
- }
+ len= my_gcvt(nr, MY_GCVT_ARG_FLOAT, to_length - 1, to, NULL);
else
{
-#ifdef HAVE_FCONVERT
- char buff[70],*pos=buff;
- int decpt,sign,tmp_dec=dec;
-
- (void) sfconvert(&nr,tmp_dec,&decpt,&sign,buff);
- if (sign)
- {
- *to++='-';
- }
- if (decpt < 0)
- { /* val_buffer is < 0 */
- *to++='0';
- if (!tmp_dec)
- goto end;
- *to++='.';
- if (-decpt > tmp_dec)
- decpt= - (int) tmp_dec;
- tmp_dec=(uint) ((int) tmp_dec+decpt);
- while (decpt++ < 0)
- *to++='0';
- }
- else if (decpt == 0)
- {
- *to++= '0';
- if (!tmp_dec)
- goto end;
- *to++='.';
- }
- else
- {
- while (decpt-- > 0)
- *to++= *pos++;
- if (!tmp_dec)
- goto end;
- *to++='.';
- }
- while (tmp_dec--)
- *to++= *pos++;
-#else
-#ifdef HAVE_SNPRINTF
- to[to_length-1]=0; // Safety
- snprintf(to,to_length-1,"%.*f",dec,nr);
- to=strend(to);
-#else
- to+= my_sprintf(to,(to,"%.*f",dec,nr));
-#endif
-#endif
+ /*
+ We are safe here because the buffer length is >= 70, and
+ fabs(float) < 10^39, dec < NOT_FIXED_DEC. So the resulting string
+ will be not longer than 69 chars + terminating '\0'.
+ */
+ len= my_fcvt(nr, dec, to, NULL);
}
-#ifdef HAVE_FCONVERT
- end:
-#endif
- val_buffer->length((uint) (to-val_buffer->ptr()));
+ val_buffer->length((uint) len);
if (zerofill)
prepend_zeros(val_buffer);
return val_buffer;
@@ -4479,8 +4412,12 @@ int Field_real::truncate(double *nr, double max_value)
max_value*= log_10[order];
max_value-= 1.0 / log_10[dec];
- double tmp= rint((res - floor(res)) * log_10[dec]) / log_10[dec];
- res= floor(res) + tmp;
+ /* Check for infinity so we don't get NaN in calculations */
+ if (!my_isinf(res))
+ {
+ double tmp= rint((res - floor(res)) * log_10[dec]) / log_10[dec];
+ res= floor(res) + tmp;
+ }
}
if (res < -max_value)
@@ -4590,68 +4527,14 @@ String *Field_double::val_str(String *val_buffer,
uint to_length=max(field_length, DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE);
val_buffer->alloc(to_length);
char *to=(char*) val_buffer->ptr();
+ size_t len;
if (dec >= NOT_FIXED_DEC)
- {
- sprintf(to,"%-*.*g",(int) field_length,DBL_DIG,nr);
- to=strcend(to,' ');
- }
+ len= my_gcvt(nr, MY_GCVT_ARG_DOUBLE, to_length - 1, to, NULL);
else
- {
-#ifdef HAVE_FCONVERT
- char buff[DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE];
- char *pos= buff;
- int decpt,sign,tmp_dec=dec;
-
- (void) fconvert(nr,tmp_dec,&decpt,&sign,buff);
- if (sign)
- {
- *to++='-';
- }
- if (decpt < 0)
- { /* val_buffer is < 0 */
- *to++='0';
- if (!tmp_dec)
- goto end;
- *to++='.';
- if (-decpt > tmp_dec)
- decpt= - (int) tmp_dec;
- tmp_dec=(uint) ((int) tmp_dec+decpt);
- while (decpt++ < 0)
- *to++='0';
- }
- else if (decpt == 0)
- {
- *to++= '0';
- if (!tmp_dec)
- goto end;
- *to++='.';
- }
- else
- {
- while (decpt-- > 0)
- *to++= *pos++;
- if (!tmp_dec)
- goto end;
- *to++='.';
- }
- while (tmp_dec--)
- *to++= *pos++;
-#else
-#ifdef HAVE_SNPRINTF
- to[to_length-1]=0; // Safety
- snprintf(to,to_length-1,"%.*f",dec,nr);
- to=strend(to);
-#else
- to+= my_sprintf(to,(to,"%.*f",dec,nr));
-#endif
-#endif
- }
-#ifdef HAVE_FCONVERT
- end:
-#endif
+ len= my_fcvt(nr, dec, to, NULL);
- val_buffer->length((uint) (to-val_buffer->ptr()));
+ val_buffer->length((uint) len);
if (zerofill)
prepend_zeros(val_buffer);
return val_buffer;
@@ -6448,84 +6331,18 @@ int Field_str::store(double nr)
{
ASSERT_COLUMN_MARKED_FOR_WRITE;
char buff[DOUBLE_TO_STRING_CONVERSION_BUFFER_SIZE];
- uint length;
uint local_char_length= field_length / charset()->mbmaxlen;
- double anr= fabs(nr);
- bool fractional= (anr != floor(anr));
- int neg= (nr < 0.0) ? 1 : 0;
- uint max_length;
- int exp;
- uint digits;
- uint i;
-
- /* Calculate the exponent from the 'e'-format conversion */
- if (anr < 1.0 && anr > 0)
- {
- for (exp= 0; anr < 1e-100; exp-= 100, anr*= 1e100) ;
- for (; anr < 1e-10; exp-= 10, anr*= 1e10) ;
- for (i= 1; anr < 1 / log_10[i]; exp--, i++) ;
- exp--;
- }
- else
- {
- for (exp= 0; anr > 1e100; exp+= 100, anr/= 1e100) ;
- for (; anr > 1e10; exp+= 10, anr/= 1e10) ;
- for (i= 1; anr > log_10[i]; exp++, i++) ;
- }
-
- max_length= local_char_length - neg;
-
- /*
- Since in sprintf("%g") precision means the number of significant digits,
- calculate the maximum number of significant digits if the 'f'-format
- would be used (+1 for decimal point if the number has a fractional part).
- */
- digits= max(1, (int) max_length - fractional);
- /*
- If the exponent is negative, decrease digits by the number of leading zeros
- after the decimal point that do not count as significant digits.
- */
- if (exp < 0)
- digits= max(1, (int) digits + exp);
- /*
- 'e'-format is used only if the exponent is less than -4 or greater than or
- equal to the precision. In this case we need to adjust the number of
- significant digits to take "e+NN" + decimal point into account (hence -5).
- We also have to reserve one additional character if abs(exp) >= 100.
- */
- if (exp >= (int) digits || exp < -4)
- digits= max(1, (int) (max_length - 5 - (exp >= 100 || exp <= -100)));
-
- /* Limit precision to DBL_DIG to avoid garbage past significant digits */
- set_if_smaller(digits, DBL_DIG);
-
- length= (uint) my_sprintf(buff, (buff, "%-.*g", digits, nr));
+ size_t length;
+ my_bool error;
-#ifdef __WIN__
- /*
- Windows always zero-pads the exponent to 3 digits, we want to remove the
- leading 0 to match the sprintf() output on other platforms.
- */
- if ((exp >= (int) digits || exp < -4) && exp > -100 && exp < 100)
+ length= my_gcvt(nr, MY_GCVT_ARG_DOUBLE, local_char_length, buff, &error);
+ if (error)
{
- DBUG_ASSERT(length >= 6); /* 1e+NNN */
- uint tmp= length - 3;
- buff[tmp]= buff[tmp + 1];
- tmp++;
- buff[tmp]= buff[tmp + 1];
- length--;
+ if (table->in_use->abort_on_warning)
+ set_warning(MYSQL_ERROR::WARN_LEVEL_WARN, ER_DATA_TOO_LONG, 1);
+ else
+ set_warning(MYSQL_ERROR::WARN_LEVEL_WARN, WARN_DATA_TRUNCATED, 1);
}
-#endif
-
- /*
- +1 below is because "precision" in %g above means the
- max. number of significant digits, not the output width.
- Thus the width can be larger than number of significant digits by 1
- (for decimal point)
- the test for local_char_length < 5 is for extreme cases,
- like inserting 500.0 in char(1)
- */
- DBUG_ASSERT(local_char_length < 5 || length <= local_char_length+1);
return store(buff, length, charset());
}
@@ -7601,7 +7418,7 @@ oom_error:
int Field_blob::store(double nr)
{
CHARSET_INFO *cs=charset();
- value.set_real(nr, 2, cs);
+ value.set_real(nr, NOT_FIXED_DEC, cs);
return Field_blob::store(value.ptr(),(uint) value.length(), cs);
}
diff --git a/sql/item.cc b/sql/item.cc
index f4b2e549667..8416f53d77f 100644
--- a/sql/item.cc
+++ b/sql/item.cc
@@ -5259,9 +5259,7 @@ int Item_null::save_safe_in_field(Field *field)
int Item::save_in_field(Field *field, bool no_conversions)
{
int error;
- if (result_type() == STRING_RESULT ||
- (result_type() == REAL_RESULT &&
- field->result_type() == STRING_RESULT))
+ if (result_type() == STRING_RESULT)
{
String *result;
CHARSET_INFO *cs= collation.collation;
@@ -5280,6 +5278,15 @@ int Item::save_in_field(Field *field, bool no_conversions)
error=field->store(result->ptr(),result->length(),cs);
str_value.set_quick(0, 0, cs);
}
+ else if (result_type() == REAL_RESULT &&
+ field->result_type() == STRING_RESULT)
+ {
+ double nr= val_real();
+ if (null_value)
+ return set_field_to_null_with_conversions(field, no_conversions);
+ field->set_notnull();
+ error= field->store(nr);
+ }
else if (result_type() == REAL_RESULT)
{
double nr= val_real();
diff --git a/sql/log_event.cc b/sql/log_event.cc
index 9cfa6cf1540..8985d396b3a 100644
--- a/sql/log_event.cc
+++ b/sql/log_event.cc
@@ -5355,11 +5355,11 @@ void User_var_log_event::pack_info(Protocol* protocol)
case REAL_RESULT:
double real_val;
float8get(real_val, val);
- if (!(buf= (char*) my_malloc(val_offset + FLOATING_POINT_BUFFER,
+ if (!(buf= (char*) my_malloc(val_offset + MY_GCVT_MAX_FIELD_WIDTH + 1,
MYF(MY_WME))))
return;
- event_len+= my_sprintf(buf + val_offset,
- (buf + val_offset, "%.14g", real_val));
+ event_len+= my_gcvt(real_val, MY_GCVT_ARG_DOUBLE, MY_GCVT_MAX_FIELD_WIDTH,
+ buf + val_offset, NULL);
break;
case INT_RESULT:
if (!(buf= (char*) my_malloc(val_offset + 22, MYF(MY_WME))))
diff --git a/sql/mysql_priv.h b/sql/mysql_priv.h
index 3ddaf114673..d4cf1bd2c63 100644
--- a/sql/mysql_priv.h
+++ b/sql/mysql_priv.h
@@ -1939,6 +1939,7 @@ extern char glob_hostname[FN_REFLEN], mysql_home[FN_REFLEN];
extern char pidfile_name[FN_REFLEN], system_time_zone[30], *opt_init_file;
extern char default_logfile_name[FN_REFLEN];
extern char log_error_file[FN_REFLEN], *opt_tc_log_file;
+extern const double log_10[309];
extern ulonglong log_10_int[20];
extern ulonglong keybuff_size;
extern ulonglong thd_startup_options;
diff --git a/sql/mysqld.cc b/sql/mysqld.cc
index 826e8a6c980..fe7f85f82d2 100644
--- a/sql/mysqld.cc
+++ b/sql/mysqld.cc
@@ -212,7 +212,36 @@ inline void setup_fpu()
/* Set FPU rounding mode to "round-to-nearest" */
fesetround(FE_TONEAREST);
#endif /* HAVE_FESETROUND */
-
+
+ /*
+ x86 (32-bit) requires FPU precision to be explicitly set to 64 bit for
+ portable results of floating point operations
+ */
+#if defined(__i386__)
+#if defined(_WIN32)
+#if !defined(_WIN64)
+ _control87(_PC_53, MCW_PC);
+#endif /* !_WIN64 */
+#else /* !_WIN32 */
+#if !defined(HAVE_FPU_CONTROL_H)
+#define fpu_control_t unsigned int
+#define _FPU_EXTENDED 0x300
+#define _FPU_DOUBLE 0x200
+#if defined(__GNUC__)
+#define _FPU_GETCW(cw) __asm__ __volatile__("fnstcw %0" : "=m" (*&cw))
+#define _FPU_SETCW(cw) __asm__ __volatile__("fldcw %0" : : "m" (*&cw))
+#else /* !__GNUC__ */
+#define _FPU_GETCW(cw) (cw= 0)
+#define _FPU_SETCW(cw)
+#endif /* __GNUC__ */
+#endif /* !HAVE_FPU_CONTROL_H */
+ fpu_control_t cw;
+ _FPU_GETCW(cw);
+ cw= (cw & ~_FPU_EXTENDED) | _FPU_DOUBLE;
+ _FPU_SETCW(cw);
+#endif /* _WIN32 && */
+#endif /* __i386__ */
+
#if defined(__sgi) && defined(HAVE_SYS_FPU_H)
/* Enable denormalized DOUBLE values support for IRIX */
union fpc_csr n;
@@ -575,6 +604,40 @@ ulong expire_logs_days = 0;
ulong rpl_recovery_rank=0;
const char *log_output_str= "FILE";
+const double log_10[] = {
+ 1e000, 1e001, 1e002, 1e003, 1e004, 1e005, 1e006, 1e007, 1e008, 1e009,
+ 1e010, 1e011, 1e012, 1e013, 1e014, 1e015, 1e016, 1e017, 1e018, 1e019,
+ 1e020, 1e021, 1e022, 1e023, 1e024, 1e025, 1e026, 1e027, 1e028, 1e029,
+ 1e030, 1e031, 1e032, 1e033, 1e034, 1e035, 1e036, 1e037, 1e038, 1e039,
+ 1e040, 1e041, 1e042, 1e043, 1e044, 1e045, 1e046, 1e047, 1e048, 1e049,
+ 1e050, 1e051, 1e052, 1e053, 1e054, 1e055, 1e056, 1e057, 1e058, 1e059,
+ 1e060, 1e061, 1e062, 1e063, 1e064, 1e065, 1e066, 1e067, 1e068, 1e069,
+ 1e070, 1e071, 1e072, 1e073, 1e074, 1e075, 1e076, 1e077, 1e078, 1e079,
+ 1e080, 1e081, 1e082, 1e083, 1e084, 1e085, 1e086, 1e087, 1e088, 1e089,
+ 1e090, 1e091, 1e092, 1e093, 1e094, 1e095, 1e096, 1e097, 1e098, 1e099,
+ 1e100, 1e101, 1e102, 1e103, 1e104, 1e105, 1e106, 1e107, 1e108, 1e109,
+ 1e110, 1e111, 1e112, 1e113, 1e114, 1e115, 1e116, 1e117, 1e118, 1e119,
+ 1e120, 1e121, 1e122, 1e123, 1e124, 1e125, 1e126, 1e127, 1e128, 1e129,
+ 1e130, 1e131, 1e132, 1e133, 1e134, 1e135, 1e136, 1e137, 1e138, 1e139,
+ 1e140, 1e141, 1e142, 1e143, 1e144, 1e145, 1e146, 1e147, 1e148, 1e149,
+ 1e150, 1e151, 1e152, 1e153, 1e154, 1e155, 1e156, 1e157, 1e158, 1e159,
+ 1e160, 1e161, 1e162, 1e163, 1e164, 1e165, 1e166, 1e167, 1e168, 1e169,
+ 1e170, 1e171, 1e172, 1e173, 1e174, 1e175, 1e176, 1e177, 1e178, 1e179,
+ 1e180, 1e181, 1e182, 1e183, 1e184, 1e185, 1e186, 1e187, 1e188, 1e189,
+ 1e190, 1e191, 1e192, 1e193, 1e194, 1e195, 1e196, 1e197, 1e198, 1e199,
+ 1e200, 1e201, 1e202, 1e203, 1e204, 1e205, 1e206, 1e207, 1e208, 1e209,
+ 1e210, 1e211, 1e212, 1e213, 1e214, 1e215, 1e216, 1e217, 1e218, 1e219,
+ 1e220, 1e221, 1e222, 1e223, 1e224, 1e225, 1e226, 1e227, 1e228, 1e229,
+ 1e230, 1e231, 1e232, 1e233, 1e234, 1e235, 1e236, 1e237, 1e238, 1e239,
+ 1e240, 1e241, 1e242, 1e243, 1e244, 1e245, 1e246, 1e247, 1e248, 1e249,
+ 1e250, 1e251, 1e252, 1e253, 1e254, 1e255, 1e256, 1e257, 1e258, 1e259,
+ 1e260, 1e261, 1e262, 1e263, 1e264, 1e265, 1e266, 1e267, 1e268, 1e269,
+ 1e270, 1e271, 1e272, 1e273, 1e274, 1e275, 1e276, 1e277, 1e278, 1e279,
+ 1e280, 1e281, 1e282, 1e283, 1e284, 1e285, 1e286, 1e287, 1e288, 1e289,
+ 1e290, 1e291, 1e292, 1e293, 1e294, 1e295, 1e296, 1e297, 1e298, 1e299,
+ 1e300, 1e301, 1e302, 1e303, 1e304, 1e305, 1e306, 1e307, 1e308
+};
+
time_t server_start_time, flush_status_time;
char mysql_home[FN_REFLEN], pidfile_name[FN_REFLEN], system_time_zone[30];
diff --git a/sql/spatial.cc b/sql/spatial.cc
index 9114c81514d..671b8544b8a 100644
--- a/sql/spatial.cc
+++ b/sql/spatial.cc
@@ -17,28 +17,7 @@
#ifdef HAVE_SPATIAL
-/*
- exponential notation :
- 1 sign
- 1 number before the decimal point
- 1 decimal point
- 14 number of significant digits (see String::qs_append(double))
- 1 'e' sign
- 1 exponent sign
- 3 exponent digits
- ==
- 22
-
- "f" notation :
- 1 optional 0
- 1 sign
- 14 number significant digits (see String::qs_append(double) )
- 1 decimal point
- ==
- 17
-*/
-
-#define MAX_DIGITS_IN_DOUBLE 22
+#define MAX_DIGITS_IN_DOUBLE MY_GCVT_MAX_FIELD_WIDTH
/***************************** Gis_class_info *******************************/
diff --git a/sql/sql_show.cc b/sql/sql_show.cc
index bf92717e79d..4774a91a9bf 100644
--- a/sql/sql_show.cc
+++ b/sql/sql_show.cc
@@ -2166,7 +2166,8 @@ static bool show_status_array(THD *thd, const char *wild,
value= ((char *) status_var + (ulong) value);
/* fall through */
case SHOW_DOUBLE:
- end= buff + my_sprintf(buff, (buff, "%f", *(double*) value));
+ /* 6 is the default precision for '%f' in sprintf() */
+ end= buff + my_fcvt(*(double *) value, 6, buff, NULL);
break;
case SHOW_LONG_STATUS:
value= ((char *) status_var + (ulong) value);
diff --git a/sql/sql_string.cc b/sql/sql_string.cc
index 40040ab0934..e4e51aba622 100644
--- a/sql/sql_string.cc
+++ b/sql/sql_string.cc
@@ -24,10 +24,6 @@
#include <m_string.h>
#include <m_ctype.h>
#include <mysql_com.h>
-#ifdef HAVE_FCONVERT
-#include <floatingpoint.h>
-#endif
-
/*
The following extern declarations are ok as these are interface functions
required by the string function
@@ -107,82 +103,19 @@ bool String::set_int(longlong num, bool unsigned_flag, CHARSET_INFO *cs)
bool String::set_real(double num,uint decimals, CHARSET_INFO *cs)
{
- char buff[331];
+ char buff[FLOATING_POINT_BUFFER];
uint dummy_errors;
+ size_t len;
str_charset=cs;
if (decimals >= NOT_FIXED_DEC)
{
- uint32 len= my_sprintf(buff,(buff, "%.15g",num));// Enough for a DATETIME
+ len= my_gcvt(num, MY_GCVT_ARG_DOUBLE, sizeof(buff) - 1, buff, NULL);
return copy(buff, len, &my_charset_latin1, cs, &dummy_errors);
}
-#ifdef HAVE_FCONVERT
- int decpt,sign;
- char *pos,*to;
-
- (void) fconvert(num,(int) decimals,&decpt,&sign,buff+1);
- if (!my_isdigit(&my_charset_latin1, buff[1]))
- { // Nan or Inf
- pos=buff+1;
- if (sign)
- {
- buff[0]='-';
- pos=buff;
- }
- uint dummy_errors;
- return copy(pos,(uint32) strlen(pos), &my_charset_latin1, cs, &dummy_errors);
- }
- if (alloc((uint32) ((uint32) decpt+3+decimals)))
- return TRUE;
- to=Ptr;
- if (sign)
- *to++='-';
-
- pos=buff+1;
- if (decpt < 0)
- { /* value is < 0 */
- *to++='0';
- if (!decimals)
- goto end;
- *to++='.';
- if ((uint32) -decpt > decimals)
- decpt= - (int) decimals;
- decimals=(uint32) ((int) decimals+decpt);
- while (decpt++ < 0)
- *to++='0';
- }
- else if (decpt == 0)
- {
- *to++= '0';
- if (!decimals)
- goto end;
- *to++='.';
- }
- else
- {
- while (decpt-- > 0)
- *to++= *pos++;
- if (!decimals)
- goto end;
- *to++='.';
- }
- while (decimals--)
- *to++= *pos++;
-
-end:
- *to=0;
- str_length=(uint32) (to-Ptr);
- return FALSE;
-#else
-#ifdef HAVE_SNPRINTF
- buff[sizeof(buff)-1]=0; // Safety
- snprintf(buff,sizeof(buff)-1, "%.*f",(int) decimals,num);
-#else
- sprintf(buff,"%.*f",(int) decimals,num);
-#endif
- return copy(buff,(uint32) strlen(buff), &my_charset_latin1, cs,
+ len= my_fcvt(num, decimals, buff, NULL);
+ return copy(buff, (uint32) len, &my_charset_latin1, cs,
&dummy_errors);
-#endif
}
@@ -661,7 +594,8 @@ void String::qs_append(const char *str, uint32 len)
void String::qs_append(double d)
{
char *buff = Ptr + str_length;
- str_length+= my_sprintf(buff, (buff, "%.15g", d));
+ str_length+= my_gcvt(d, MY_GCVT_ARG_DOUBLE, FLOATING_POINT_BUFFER - 1, buff,
+ NULL);
}
void String::qs_append(double *d)
diff --git a/sql/unireg.h b/sql/unireg.h
index 80c6ad23907..b6f81f48987 100644
--- a/sql/unireg.h
+++ b/sql/unireg.h
@@ -213,7 +213,6 @@
*/
#define BIN_LOG_HEADER_SIZE 4
-#define FLOATING_POINT_BUFFER 331
#define DEFAULT_KEY_CACHE_NAME "default"
diff --git a/strings/CMakeLists.txt b/strings/CMakeLists.txt
index 294a129fc1b..572ca076a41 100755
--- a/strings/CMakeLists.txt
+++ b/strings/CMakeLists.txt
@@ -18,10 +18,10 @@ INCLUDE_DIRECTORIES(${CMAKE_SOURCE_DIR}/include)
SET(STRINGS_SOURCES bchange.c bcmp.c bfill.c bmove512.c bmove_upp.c ctype-big5.c ctype-bin.c ctype-cp932.c
ctype-czech.c ctype-euc_kr.c ctype-eucjpms.c ctype-extra.c ctype-gb2312.c ctype-gbk.c
ctype-latin1.c ctype-mb.c ctype-simple.c ctype-sjis.c ctype-tis620.c ctype-uca.c
- ctype-ucs2.c ctype-ujis.c ctype-utf8.c ctype-win1250ch.c ctype.c decimal.c int2str.c
+ ctype-ucs2.c ctype-ujis.c ctype-utf8.c ctype-win1250ch.c ctype.c decimal.c dtoa.c int2str.c
is_prefix.c llstr.c longlong2str.c my_strtoll10.c my_vsnprintf.c r_strinstr.c
str2int.c str_alloc.c strcend.c strend.c strfill.c strmake.c strmov.c strnmov.c
- strtod.c strtol.c strtoll.c strtoul.c strtoull.c strxmov.c strxnmov.c xml.c
+ strtol.c strtoll.c strtoul.c strtoull.c strxmov.c strxnmov.c xml.c
my_strchr.c strcont.c strinstr.c strnlen.c)
IF(NOT SOURCE_SUBLIBS)
diff --git a/strings/Makefile.am b/strings/Makefile.am
index 4c34a923d81..8bfd1f27bca 100644
--- a/strings/Makefile.am
+++ b/strings/Makefile.am
@@ -30,19 +30,19 @@ pkglib_LIBRARIES = libmystrings.a
# Exact one of ASSEMBLER_X
if ASSEMBLER_x86
ASRCS = strings-x86.s longlong2str-x86.s my_strtoll10-x86.s
-CSRCS = bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c strtod.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c str_alloc.c longlong2str_asm.c my_strchr.c
+CSRCS = bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c str_alloc.c longlong2str_asm.c my_strchr.c dtoa.c
else
if ASSEMBLER_sparc32
# These file MUST all be on the same line!! Otherwise automake
# generats a very broken makefile
ASRCS = bmove_upp-sparc.s strappend-sparc.s strend-sparc.s strinstr-sparc.s strmake-sparc.s strmov-sparc.s strnmov-sparc.s strstr-sparc.s
-CSRCS = strcont.c strfill.c strcend.c is_prefix.c longlong2str.c bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c strtod.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c strxmov.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c my_strtoll10.c str_alloc.c my_strchr.c
+CSRCS = strcont.c strfill.c strcend.c is_prefix.c longlong2str.c bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c strxmov.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c my_strtoll10.c str_alloc.c my_strchr.c dtoa.c
else
#no assembler
ASRCS =
# These file MUST all be on the same line!! Otherwise automake
# generats a very broken makefile
-CSRCS = strxmov.c bmove_upp.c strappend.c strcont.c strend.c strfill.c strcend.c is_prefix.c strstr.c strinstr.c strmake.c strnmov.c strmov.c longlong2str.c bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c strtod.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c my_strtoll10.c str_alloc.c my_strchr.c
+CSRCS = strxmov.c bmove_upp.c strappend.c strcont.c strend.c strfill.c strcend.c is_prefix.c strstr.c strinstr.c strmake.c strnmov.c strmov.c longlong2str.c bfill.c bmove.c bmove512.c bchange.c strxnmov.c int2str.c str2int.c r_strinstr.c bcmp.c strtol.c strtoul.c strtoll.c strtoull.c llstr.c strnlen.c ctype.c ctype-simple.c ctype-mb.c ctype-big5.c ctype-cp932.c ctype-czech.c ctype-eucjpms.c ctype-euc_kr.c ctype-gb2312.c ctype-gbk.c ctype-sjis.c ctype-tis620.c ctype-ujis.c ctype-utf8.c ctype-ucs2.c ctype-uca.c ctype-win1250ch.c ctype-bin.c ctype-latin1.c my_vsnprintf.c xml.c decimal.c ctype-extra.c my_strtoll10.c str_alloc.c my_strchr.c dtoa.c
endif
endif
diff --git a/strings/decimal.c b/strings/decimal.c
index 282e7cae8ab..42dc33e5ac6 100644
--- a/strings/decimal.c
+++ b/strings/decimal.c
@@ -137,12 +137,6 @@ static const dec1 frac_max[DIG_PER_DEC1-1]={
900000000, 990000000, 999000000,
999900000, 999990000, 999999000,
999999900, 999999990 };
-static double scaler10[]= {
- 1.0, 1e10, 1e20, 1e30, 1e40, 1e50, 1e60, 1e70, 1e80, 1e90
-};
-static double scaler1[]= {
- 1.0, 10.0, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9
-};
#ifdef HAVE_purify
#define sanity(d) DBUG_ASSERT((d)->len > 0)
@@ -947,33 +941,25 @@ fatal_error:
to - result will be stored there
RETURN VALUE
- E_DEC_OK
+ E_DEC_OK/E_DEC_OVERFLOW/E_DEC_TRUNCATED
*/
int decimal2double(decimal_t *from, double *to)
{
- double result= 0.0;
- int i, exp= 0;
- dec1 *buf= from->buf;
-
- for (i= from->intg; i > 0; i-= DIG_PER_DEC1)
- result= result * DIG_BASE + *buf++;
-
- for (i= from->frac; i > 0; i-= DIG_PER_DEC1) {
- result= result * DIG_BASE + *buf++;
- exp+= DIG_PER_DEC1;
- }
-
- DBUG_PRINT("info", ("interm.: %f %d %f", result, exp,
- scaler10[exp / 10] * scaler1[exp % 10]));
+ char strbuf[FLOATING_POINT_BUFFER], *end;
+ int len= sizeof(strbuf);
+ int rc, error;
- result/= scaler10[exp / 10] * scaler1[exp % 10];
-
- *to= from->sign ? -result : result;
+ rc = decimal2string(from, strbuf, &len, 0, 0, 0);
+ end= strbuf + len;
+
+ DBUG_PRINT("info", ("interm.: %s", strbuf));
+ *to= my_strtod(strbuf, &end, &error);
+
DBUG_PRINT("info", ("result: %f (%lx)", *to, *(ulong *)to));
- return E_DEC_OK;
+ return (rc != E_DEC_OK) ? rc : (error ? E_DEC_OVERFLOW : E_DEC_OK);
}
/*
@@ -990,13 +976,10 @@ int decimal2double(decimal_t *from, double *to)
int double2decimal(double from, decimal_t *to)
{
- /* TODO: fix it, when we'll have dtoa */
- char buff[400], *end;
- int length, res;
+ char buff[FLOATING_POINT_BUFFER], *end;
+ int res;
DBUG_ENTER("double2decimal");
- length= my_sprintf(buff, (buff, "%.16G", from));
- DBUG_PRINT("info",("from: %g from_as_str: %s", from, buff));
- end= buff+length;
+ end= buff + my_gcvt(from, MY_GCVT_ARG_DOUBLE, sizeof(buff) - 1, buff, NULL);
res= string2decimal(buff, to, &end);
DBUG_PRINT("exit", ("res: %d", res));
DBUG_RETURN(res);
diff --git a/strings/dtoa.c b/strings/dtoa.c
new file mode 100644
index 00000000000..88e0d9272a8
--- /dev/null
+++ b/strings/dtoa.c
@@ -0,0 +1,2780 @@
+/* Copyright (C) 2007 MySQL AB
+
+ This library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public
+ License as published by the Free Software Foundation; version 2
+ of the License.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; if not, write to the Free Software
+ Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */
+
+/****************************************************************
+
+ This file incorporates work covered by the following copyright and
+ permission notice:
+
+ The author of this software is David M. Gay.
+
+ Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
+
+ Permission to use, copy, modify, and distribute this software for any
+ purpose without fee is hereby granted, provided that this entire notice
+ is included in all copies of any software which is or includes a copy
+ or modification of this software and in all copies of the supporting
+ documentation for such software.
+
+ THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
+ WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
+ REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
+ OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+
+ ***************************************************************/
+
+#include <my_base.h> /* for EOVERFLOW on Windows */
+#include <my_global.h>
+#include <m_string.h> /* for memcpy and NOT_FIXED_DEC */
+
+/**
+ Appears to suffice to not call malloc() in most cases.
+ @todo
+ see if it is possible to get rid of malloc().
+ this constant is sufficient to avoid malloc() on all inputs I have tried.
+*/
+#define DTOA_BUFF_SIZE (420 * sizeof(void *))
+
+/* Magic value returned by dtoa() to indicate overflow */
+#define DTOA_OVERFLOW 9999
+
+static double my_strtod_int(const char *, char **, int *, char *, size_t);
+static char *dtoa(double, int, int, int *, int *, char **, char *, size_t);
+static void dtoa_free(char *, char *, size_t);
+
+/**
+ @brief
+ Converts a given floating point number to a zero-terminated string
+ representation using the 'f' format.
+
+ @details
+ This function is a wrapper around dtoa() to do the same as
+ sprintf(to, "%-.*f", precision, x), though the conversion is usually more
+ precise. The only difference is in handling [-,+]infinity and nan values,
+ in which case we print '0\0' to the output string and indicate an overflow.
+
+ @param x the input floating point number.
+ @param precision the number of digits after the decimal point.
+ All properties of sprintf() apply:
+ - if the number of significant digits after the decimal
+ point is less than precision, the resulting string is
+ right-padded with zeros
+ - if the precision is 0, no decimal point appears
+ - if a decimal point appears, at least one digit appears
+ before it
+ @param to pointer to the output buffer. The longest string which
+ my_fcvt() can return is FLOATING_POINT_BUFFER bytes
+ (including the terminating '\0').
+ @param error if not NULL, points to a location where the status of
+ conversion is stored upon return.
+ FALSE successful conversion
+ TRUE the input number is [-,+]infinity or nan.
+ The output string in this case is always '0'.
+ @return number of written characters (excluding terminating '\0')
+*/
+
+size_t my_fcvt(double x, int precision, char *to, my_bool *error)
+{
+ int decpt, sign, len, i;
+ char *res, *src, *end, *dst= to;
+ char buf[DTOA_BUFF_SIZE];
+ DBUG_ASSERT(precision >= 0 && precision < NOT_FIXED_DEC && to != NULL);
+
+ res= dtoa(x, 5, precision, &decpt, &sign, &end, buf, sizeof(buf));
+
+ if (decpt == DTOA_OVERFLOW)
+ {
+ dtoa_free(res, buf, sizeof(buf));
+ *to++= '0';
+ *to= '\0';
+ if (error != NULL)
+ *error= TRUE;
+ return 1;
+ }
+
+ src= res;
+ len= end - src;
+
+ if (sign)
+ *dst++= '-';
+
+ if (decpt <= 0)
+ {
+ *dst++= '0';
+ *dst++= '.';
+ for (i= decpt; i < 0; i++)
+ *dst++= '0';
+ }
+
+ for (i= 1; i <= len; i++)
+ {
+ *dst++= *src++;
+ if (i == decpt && i < len)
+ *dst++= '.';
+ }
+ while (i++ <= decpt)
+ *dst++= '0';
+
+ if (precision > 0)
+ {
+ if (len <= decpt)
+ *dst++= '.';
+
+ for (i= precision - max(0, (len - decpt)); i > 0; i--)
+ *dst++= '0';
+ }
+
+ *dst= '\0';
+ if (error != NULL)
+ *error= FALSE;
+
+ dtoa_free(res, buf, sizeof(buf));
+
+ return dst - to;
+}
+
+/**
+ @brief
+ Converts a given floating point number to a zero-terminated string
+ representation with a given field width using the 'e' format
+ (aka scientific notation) or the 'f' one.
+
+ @details
+ The format is chosen automatically to provide the most number of significant
+ digits (and thus, precision) with a given field width. In many cases, the
+ result is similar to that of sprintf(to, "%g", x) with a few notable
+ differences:
+ - the conversion is usually more precise than C library functions.
+ - there is no 'precision' argument. instead, we specify the number of
+ characters available for conversion (i.e. a field width).
+ - the result never exceeds the specified field width. If the field is too
+ short to contain even a rounded decimal representation, my_gcvt()
+ indicates overflow and truncates the output string to the specified width.
+ - float-type arguments are handled differently than double ones. For a
+ float input number (i.e. when the 'type' argument is MY_GCVT_ARG_FLOAT)
+ we deliberately limit the precision of conversion by FLT_DIG digits to
+ avoid garbage past the significant digits.
+ - unlike sprintf(), in cases where the 'e' format is preferred, we don't
+ zero-pad the exponent to save space for significant digits. The '+' sign
+ for a positive exponent does not appear for the same reason.
+
+ @param x the input floating point number.
+ @param type is either MY_GCVT_ARG_FLOAT or MY_GCVT_ARG_DOUBLE.
+ Specifies the type of the input number (see notes above).
+ @param width field width in characters. The minimal field width to
+ hold any number representation (albeit rounded) is 7
+ characters ("-Ne-NNN").
+ @param to pointer to the output buffer. The result is always
+ zero-terminated, and the longest returned string is thus
+ 'width + 1' bytes.
+ @param error if not NULL, points to a location where the status of
+ conversion is stored upon return.
+ FALSE successful conversion
+ TRUE the input number is [-,+]infinity or nan.
+ The output string in this case is always '0'.
+ @return number of written characters (excluding terminating '\0')
+
+ @todo
+ Check if it is possible and makes sense to do our own rounding on top of
+ dtoa() instead of calling dtoa() twice in (rare) cases when the resulting
+ string representation does not fit in the specified field width and we want
+ to re-round the input number with fewer significant digits. Examples:
+
+ my_gcvt(-9e-3, ..., 4, ...);
+ my_gcvt(-9e-3, ..., 2, ...);
+ my_gcvt(1.87e-3, ..., 4, ...);
+ my_gcvt(55, ..., 1, ...);
+
+ We do our best to minimize such cases by:
+
+ - passing to dtoa() the field width as the number of significant digits
+
+ - removing the sign of the number early (and decreasing the width before
+ passing it to dtoa())
+
+ - choosing the proper format to preserve the most number of significant
+ digits.
+*/
+
+size_t my_gcvt(double x, my_gcvt_arg_type type, int width, char *to,
+ my_bool *error)
+{
+ int decpt, sign, len, exp_len;
+ char *res, *src, *end, *dst= to, *dend= dst + width;
+ char buf[DTOA_BUFF_SIZE];
+ my_bool have_space, force_e_format;
+ DBUG_ASSERT(width > 0 && to != NULL);
+
+ /* We want to remove '-' from equations early */
+ if (x < 0.)
+ width--;
+
+ res= dtoa(x, 4, type == MY_GCVT_ARG_DOUBLE ? width : min(width, FLT_DIG),
+ &decpt, &sign, &end, buf, sizeof(buf));
+ if (decpt == DTOA_OVERFLOW)
+ {
+ dtoa_free(res, buf, sizeof(buf));
+ *to++= '0';
+ *to= '\0';
+ if (error != NULL)
+ *error= TRUE;
+ return 1;
+ }
+
+ if (error != NULL)
+ *error= FALSE;
+
+ src= res;
+ len= end - res;
+
+ /*
+ Number of digits in the exponent from the 'e' conversion.
+ The sign of the exponent is taken into account separetely, we don't need
+ to count it here.
+ */
+ exp_len= 1 + (decpt >= 101 || decpt <= -99) + (decpt >= 11 || decpt <= -9);
+
+ /*
+ Do we have enough space for all digits in the 'f' format?
+ Let 'len' be the number of significant digits returned by dtoa,
+ and F be the length of the resulting decimal representation.
+ Consider the following cases:
+ 1. decpt <= 0, i.e. we have "0.NNN" => F = len - decpt + 2
+ 2. 0 < decpt < len, i.e. we have "NNN.NNN" => F = len + 1
+ 3. len <= decpt, i.e. we have "NNN00" => F = decpt
+ */
+ have_space= (decpt <= 0 ? len - decpt + 2 :
+ decpt > 0 && decpt < len ? len + 1 :
+ decpt) <= width;
+ /*
+ The following is true when no significant digits can be placed with the
+ specified field width using the 'f' format, and the 'e' format
+ will not be truncated.
+ */
+ force_e_format= (decpt <= 0 && width <= 2 - decpt && width >= 3 + exp_len);
+ /*
+ Assume that we don't have enough space to place all significant digits in
+ the 'f' format. We have to choose between the 'e' format and the 'f' one
+ to keep as many significant digits as possible.
+ Let E and F be the lengths of decimal representaion in the 'e' and 'f'
+ formats, respectively. We want to use the 'f' format if, and only if F <= E.
+ Consider the following cases:
+ 1. decpt <= 0.
+ F = len - decpt + 2 (see above)
+ E = len + (len > 1) + 1 + 1 (decpt <= -99) + (decpt <= -9) + 1
+ ("N.NNe-MMM")
+ (F <= E) <=> (len == 1 && decpt >= -1) || (len > 1 && decpt >= -2)
+ We also need to ensure that if the 'f' format is chosen,
+ the field width allows us to place at least one significant digit
+ (i.e. width > 2 - decpt). If not, we prefer the 'e' format.
+ 2. 0 < decpt < len
+ F = len + 1 (see above)
+ E = len + 1 + 1 + ... ("N.NNeMMM")
+ F is always less than E.
+ 3. len <= decpt <= width
+ In this case we have enough space to represent the number in the 'f'
+ format, so we prefer it with some exceptions.
+ 4. width < decpt
+ The number cannot be represented in the 'f' format at all, always use
+ the 'e' 'one.
+ */
+ if ((have_space ||
+ /*
+ Not enough space, let's see if the 'f' format provides the most number
+ of significant digits.
+ */
+ ((decpt <= width && (decpt >= -1 || (decpt == -2 &&
+ (len > 1 || !force_e_format)))) &&
+ !force_e_format)) &&
+
+ /*
+ Use the 'e' format in some cases even if we have enough space for the
+ 'f' one. See comment for MAX_DECPT_FOR_F_FORMAT.
+ */
+ (!have_space || (decpt >= -MAX_DECPT_FOR_F_FORMAT + 1 &&
+ (decpt <= MAX_DECPT_FOR_F_FORMAT || len > decpt))))
+ {
+ /* 'f' format */
+ int i;
+
+ width-= (decpt < len) + (decpt <= 0 ? 1 - decpt : 0);
+
+ /* Do we have to truncate any digits? */
+ if (width < len)
+ {
+ if (width < decpt)
+ {
+ if (error != NULL)
+ *error= TRUE;
+ width= decpt;
+ }
+
+ /*
+ We want to truncate (len - width) least significant digits after the
+ decimal point. For this we are calling dtoa with mode=5, passing the
+ number of significant digits = (len-decpt) - (len-width) = width-decpt
+ */
+ dtoa_free(res, buf, sizeof(buf));
+ res= dtoa(x, 5, width - decpt, &decpt, &sign, &end, buf, sizeof(buf));
+ src= res;
+ len= end - res;
+ }
+
+ if (len == 0)
+ {
+ /* Underflow. Just print '0' and exit */
+ *dst++= '0';
+ goto end;
+ }
+
+ /*
+ At this point we are sure we have enough space to put all digits
+ returned by dtoa
+ */
+ if (sign && dst < dend)
+ *dst++= '-';
+ if (decpt <= 0)
+ {
+ if (dst < dend)
+ *dst++= '0';
+ if (len > 0 && dst < dend)
+ *dst++= '.';
+ for (; decpt < 0 && dst < dend; decpt++)
+ *dst++= '0';
+ }
+
+ for (i= 1; i <= len && dst < dend; i++)
+ {
+ *dst++= *src++;
+ if (i == decpt && i < len && dst < dend)
+ *dst++= '.';
+ }
+ while (i++ <= decpt && dst < dend)
+ *dst++= '0';
+ }
+ else
+ {
+ /* 'e' format */
+ int decpt_sign= 0;
+
+ if (--decpt < 0)
+ {
+ decpt= -decpt;
+ width--;
+ decpt_sign= 1;
+ }
+ width-= 1 + exp_len; /* eNNN */
+
+ if (len > 1)
+ width--;
+
+ if (width <= 0)
+ {
+ /* Overflow */
+ if (error != NULL)
+ *error= TRUE;
+ width= 0;
+ }
+
+ /* Do we have to truncate any digits? */
+ if (width < len)
+ {
+ /* Yes, re-convert with a smaller width */
+ dtoa_free(res, buf, sizeof(buf));
+ res= dtoa(x, 4, width, &decpt, &sign, &end, buf, sizeof(buf));
+ src= res;
+ len= end - res;
+ if (--decpt < 0)
+ decpt= -decpt;
+ }
+ /*
+ At this point we are sure we have enough space to put all digits
+ returned by dtoa
+ */
+ if (sign && dst < dend)
+ *dst++= '-';
+ if (dst < dend)
+ *dst++= *src++;
+ if (len > 1 && dst < dend)
+ {
+ *dst++= '.';
+ while (src < end && dst < dend)
+ *dst++= *src++;
+ }
+ if (dst < dend)
+ *dst++= 'e';
+ if (decpt_sign && dst < dend)
+ *dst++= '-';
+
+ if (decpt >= 100 && dst < dend)
+ {
+ *dst++= decpt / 100 + '0';
+ decpt%= 100;
+ if (dst < dend)
+ *dst++= decpt / 10 + '0';
+ }
+ else if (decpt >= 10 && dst < dend)
+ *dst++= decpt / 10 + '0';
+ if (dst < dend)
+ *dst++= decpt % 10 + '0';
+
+ }
+
+end:
+ dtoa_free(res, buf, sizeof(buf));
+ *dst= '\0';
+
+ return dst - to;
+}
+
+/**
+ @brief
+ Converts string to double (string does not have to be zero-terminated)
+
+ @details
+ This is a wrapper around dtoa's version of strtod().
+
+ @param str input string
+ @param end address of a pointer to the first character after the input
+ string. Upon return the pointer is set to point to the first
+ rejected character.
+ @param error Upon return is set to EOVERFLOW in case of underflow or
+ overflow.
+
+ @return The resulting double value. In case of underflow, 0.0 is
+ returned. In case overflow, signed DBL_MAX is returned.
+*/
+
+double my_strtod(const char *str, char **end, int *error)
+{
+ char buf[DTOA_BUFF_SIZE];
+ double res;
+ DBUG_ASSERT(str != NULL && end != NULL && *end != NULL && error != NULL);
+
+ res= my_strtod_int(str, end, error, buf, sizeof(buf));
+ return (*error == 0) ? res : (res < 0 ? -DBL_MAX : DBL_MAX);
+}
+
+
+double my_atof(const char *nptr)
+{
+ int error;
+ const char *end= nptr+65535; /* Should be enough */
+ return (my_strtod(nptr, (char**) &end, &error));
+}
+
+
+/****************************************************************
+ *
+ * The author of this software is David M. Gay.
+ *
+ * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose without fee is hereby granted, provided that this entire notice
+ * is included in all copies of any software which is or includes a copy
+ * or modification of this software and in all copies of the supporting
+ * documentation for such software.
+ *
+ * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
+ * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
+ * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
+ * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+ *
+ ***************************************************************/
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+/*
+ Original copy of the software is located at http://www.netlib.org/fp/dtoa.c
+ It was adjusted to serve MySQL server needs:
+ * strtod() was modified to not expect a zero-terminated string.
+ It now honors 'se' (end of string) argument as the input parameter,
+ not just as the output one.
+ * in dtoa(), in case of overflow/underflow/NaN result string now contains "0";
+ decpt is set to DTOA_OVERFLOW to indicate overflow.
+ * support for VAX, IBM mainframe and 16-bit hardware removed
+ * we always assume that 64-bit integer type is available
+ * support for Kernigan-Ritchie style headers (pre-ANSI compilers)
+ removed
+ * all gcc warnings ironed out
+ * we always assume multithreaded environment, so we had to change
+ memory allocation procedures to use stack in most cases;
+ malloc is used as the last resort.
+ * pow5mult rewritten to use pre-calculated pow5 list instead of
+ the one generated on the fly.
+*/
+
+
+/*
+ On a machine with IEEE extended-precision registers, it is
+ necessary to specify double-precision (53-bit) rounding precision
+ before invoking strtod or dtoa. If the machine uses (the equivalent
+ of) Intel 80x87 arithmetic, the call
+ _control87(PC_53, MCW_PC);
+ does this with many compilers. Whether this or another call is
+ appropriate depends on the compiler; for this to work, it may be
+ necessary to #include "float.h" or another system-dependent header
+ file.
+*/
+
+/*
+ #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ and dtoa should round accordingly.
+ #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ and Honor_FLT_ROUNDS is not #defined.
+
+ TODO: check if we can get rid of the above two
+*/
+
+typedef int32 Long;
+typedef uint32 ULong;
+typedef int64 LLong;
+typedef uint64 ULLong;
+
+typedef union { double d; ULong L[2]; } U;
+
+#if defined(WORDS_BIGENDIAN) || (defined(__FLOAT_WORD_ORDER) && \
+ (__FLOAT_WORD_ORDER == __BIG_ENDIAN))
+#define word0(x) ((U*)&x)->L[0]
+#define word1(x) ((U*)&x)->L[1]
+#else
+#define word0(x) ((U*)&x)->L[1]
+#define word1(x) ((U*)&x)->L[0]
+#endif
+
+#define dval(x) ((U*)&x)->d
+
+/* #define P DBL_MANT_DIG */
+/* Ten_pmax= floor(P*log(2)/log(5)) */
+/* Bletch= (highest power of 2 < DBL_MAX_10_EXP) / 16 */
+/* Quick_max= floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
+/* Int_max= floor(P*log(FLT_RADIX)/log(10) - 1) */
+
+#define Exp_shift 20
+#define Exp_shift1 20
+#define Exp_msk1 0x100000
+#define Exp_mask 0x7ff00000
+#define P 53
+#define Bias 1023
+#define Emin (-1022)
+#define Exp_1 0x3ff00000
+#define Exp_11 0x3ff00000
+#define Ebits 11
+#define Frac_mask 0xfffff
+#define Frac_mask1 0xfffff
+#define Ten_pmax 22
+#define Bletch 0x10
+#define Bndry_mask 0xfffff
+#define Bndry_mask1 0xfffff
+#define LSB 1
+#define Sign_bit 0x80000000
+#define Log2P 1
+#define Tiny1 1
+#define Quick_max 14
+#define Int_max 14
+
+#ifndef Flt_Rounds
+#ifdef FLT_ROUNDS
+#define Flt_Rounds FLT_ROUNDS
+#else
+#define Flt_Rounds 1
+#endif
+#endif /*Flt_Rounds*/
+
+#ifdef Honor_FLT_ROUNDS
+#define Rounding rounding
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
+#else
+#define Rounding Flt_Rounds
+#endif
+
+#define rounded_product(a,b) a*= b
+#define rounded_quotient(a,b) a/= b
+
+#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
+#define Big1 0xffffffff
+#define FFFFFFFF 0xffffffffUL
+
+/* This is tested to be enough for dtoa */
+
+#define Kmax 15
+
+#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
+ 2*sizeof(int) + y->wds*sizeof(ULong))
+
+/* Arbitrary-length integer */
+
+typedef struct Bigint
+{
+ union {
+ ULong *x; /* points right after this Bigint object */
+ struct Bigint *next; /* to maintain free lists */
+ } p;
+ int k; /* 2^k = maxwds */
+ int maxwds; /* maximum length in 32-bit words */
+ int sign; /* not zero if number is negative */
+ int wds; /* current length in 32-bit words */
+} Bigint;
+
+
+/* A simple stack-memory based allocator for Bigints */
+
+typedef struct Stack_alloc
+{
+ char *begin;
+ char *free;
+ char *end;
+ /*
+ Having list of free blocks lets us reduce maximum required amount
+ of memory from ~4000 bytes to < 1680 (tested on x86).
+ */
+ Bigint *freelist[Kmax+1];
+} Stack_alloc;
+
+
+/*
+ Try to allocate object on stack, and resort to malloc if all
+ stack memory is used. Ensure allocated objects to be aligned by the pointer
+ size in order to not break the alignment rules when storing a pointer to a
+ Bigint.
+*/
+
+static Bigint *Balloc(int k, Stack_alloc *alloc)
+{
+ Bigint *rv;
+ if (k <= Kmax && alloc->freelist[k])
+ {
+ rv= alloc->freelist[k];
+ alloc->freelist[k]= rv->p.next;
+ }
+ else
+ {
+ int x, len;
+
+ x= 1 << k;
+ len= MY_ALIGN(sizeof(Bigint) + x * sizeof(ULong), SIZEOF_CHARP);
+
+ if (alloc->free + len <= alloc->end)
+ {
+ rv= (Bigint*) alloc->free;
+ alloc->free+= len;
+ }
+ else
+ rv= (Bigint*) malloc(len);
+
+ rv->k= k;
+ rv->maxwds= x;
+ }
+ rv->sign= rv->wds= 0;
+ rv->p.x= (ULong*) (rv + 1);
+ return rv;
+}
+
+
+/*
+ If object was allocated on stack, try putting it to the free
+ list. Otherwise call free().
+*/
+
+static void Bfree(Bigint *v, Stack_alloc *alloc)
+{
+ char *gptr= (char*) v; /* generic pointer */
+ if (gptr < alloc->begin || gptr >= alloc->end)
+ free(gptr);
+ else if (v->k <= Kmax)
+ {
+ /*
+ Maintain free lists only for stack objects: this way we don't
+ have to bother with freeing lists in the end of dtoa;
+ heap should not be used normally anyway.
+ */
+ v->p.next= alloc->freelist[v->k];
+ alloc->freelist[v->k]= v;
+ }
+}
+
+
+/*
+ This is to place return value of dtoa in: tries to use stack
+ as well, but passes by free lists management and just aligns len by
+ the pointer size in order to not break the alignment rules when storing a
+ pointer to a Bigint.
+*/
+
+static char *dtoa_alloc(int i, Stack_alloc *alloc)
+{
+ char *rv;
+ int aligned_size= MY_ALIGN(i, SIZEOF_CHARP);
+ if (alloc->free + aligned_size <= alloc->end)
+ {
+ rv= alloc->free;
+ alloc->free+= aligned_size;
+ }
+ else
+ rv= malloc(i);
+ return rv;
+}
+
+
+/*
+ dtoa_free() must be used to free values s returned by dtoa()
+ This is the counterpart of dtoa_alloc()
+*/
+
+static void dtoa_free(char *gptr, char *buf, size_t buf_size)
+{
+ if (gptr < buf || gptr >= buf + buf_size)
+ free(gptr);
+}
+
+
+/* Bigint arithmetic functions */
+
+/* Multiply by m and add a */
+
+static Bigint *multadd(Bigint *b, int m, int a, Stack_alloc *alloc)
+{
+ int i, wds;
+ ULong *x;
+ ULLong carry, y;
+ Bigint *b1;
+
+ wds= b->wds;
+ x= b->p.x;
+ i= 0;
+ carry= a;
+ do
+ {
+ y= *x * (ULLong)m + carry;
+ carry= y >> 32;
+ *x++= (ULong)(y & FFFFFFFF);
+ }
+ while (++i < wds);
+ if (carry)
+ {
+ if (wds >= b->maxwds)
+ {
+ b1= Balloc(b->k+1, alloc);
+ Bcopy(b1, b);
+ Bfree(b, alloc);
+ b= b1;
+ }
+ b->p.x[wds++]= (ULong) carry;
+ b->wds= wds;
+ }
+ return b;
+}
+
+
+static Bigint *s2b(const char *s, int nd0, int nd, ULong y9, Stack_alloc *alloc)
+{
+ Bigint *b;
+ int i, k;
+ Long x, y;
+
+ x= (nd + 8) / 9;
+ for (k= 0, y= 1; x > y; y <<= 1, k++) ;
+ b= Balloc(k, alloc);
+ b->p.x[0]= y9;
+ b->wds= 1;
+
+ i= 9;
+ if (9 < nd0)
+ {
+ s+= 9;
+ do
+ b= multadd(b, 10, *s++ - '0', alloc);
+ while (++i < nd0);
+ s++;
+ }
+ else
+ s+= 10;
+ for(; i < nd; i++)
+ b= multadd(b, 10, *s++ - '0', alloc);
+ return b;
+}
+
+
+static int hi0bits(register ULong x)
+{
+ register int k= 0;
+
+ if (!(x & 0xffff0000))
+ {
+ k= 16;
+ x<<= 16;
+ }
+ if (!(x & 0xff000000))
+ {
+ k+= 8;
+ x<<= 8;
+ }
+ if (!(x & 0xf0000000))
+ {
+ k+= 4;
+ x<<= 4;
+ }
+ if (!(x & 0xc0000000))
+ {
+ k+= 2;
+ x<<= 2;
+ }
+ if (!(x & 0x80000000))
+ {
+ k++;
+ if (!(x & 0x40000000))
+ return 32;
+ }
+ return k;
+}
+
+
+static int lo0bits(ULong *y)
+{
+ register int k;
+ register ULong x= *y;
+
+ if (x & 7)
+ {
+ if (x & 1)
+ return 0;
+ if (x & 2)
+ {
+ *y= x >> 1;
+ return 1;
+ }
+ *y= x >> 2;
+ return 2;
+ }
+ k= 0;
+ if (!(x & 0xffff))
+ {
+ k= 16;
+ x>>= 16;
+ }
+ if (!(x & 0xff))
+ {
+ k+= 8;
+ x>>= 8;
+ }
+ if (!(x & 0xf))
+ {
+ k+= 4;
+ x>>= 4;
+ }
+ if (!(x & 0x3))
+ {
+ k+= 2;
+ x>>= 2;
+ }
+ if (!(x & 1))
+ {
+ k++;
+ x>>= 1;
+ if (!x)
+ return 32;
+ }
+ *y= x;
+ return k;
+}
+
+
+/* Convert integer to Bigint number */
+
+static Bigint *i2b(int i, Stack_alloc *alloc)
+{
+ Bigint *b;
+
+ b= Balloc(1, alloc);
+ b->p.x[0]= i;
+ b->wds= 1;
+ return b;
+}
+
+
+/* Multiply two Bigint numbers */
+
+static Bigint *mult(Bigint *a, Bigint *b, Stack_alloc *alloc)
+{
+ Bigint *c;
+ int k, wa, wb, wc;
+ ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
+ ULong y;
+ ULLong carry, z;
+
+ if (a->wds < b->wds)
+ {
+ c= a;
+ a= b;
+ b= c;
+ }
+ k= a->k;
+ wa= a->wds;
+ wb= b->wds;
+ wc= wa + wb;
+ if (wc > a->maxwds)
+ k++;
+ c= Balloc(k, alloc);
+ for (x= c->p.x, xa= x + wc; x < xa; x++)
+ *x= 0;
+ xa= a->p.x;
+ xae= xa + wa;
+ xb= b->p.x;
+ xbe= xb + wb;
+ xc0= c->p.x;
+ for (; xb < xbe; xc0++)
+ {
+ if ((y= *xb++))
+ {
+ x= xa;
+ xc= xc0;
+ carry= 0;
+ do
+ {
+ z= *x++ * (ULLong)y + *xc + carry;
+ carry= z >> 32;
+ *xc++= (ULong) (z & FFFFFFFF);
+ }
+ while (x < xae);
+ *xc= (ULong) carry;
+ }
+ }
+ for (xc0= c->p.x, xc= xc0 + wc; wc > 0 && !*--xc; --wc) ;
+ c->wds= wc;
+ return c;
+}
+
+
+/*
+ Precalculated array of powers of 5: tested to be enough for
+ vasting majority of dtoa_r cases.
+*/
+
+static ULong powers5[]=
+{
+ 625UL,
+
+ 390625UL,
+
+ 2264035265UL, 35UL,
+
+ 2242703233UL, 762134875UL, 1262UL,
+
+ 3211403009UL, 1849224548UL, 3668416493UL, 3913284084UL, 1593091UL,
+
+ 781532673UL, 64985353UL, 253049085UL, 594863151UL, 3553621484UL,
+ 3288652808UL, 3167596762UL, 2788392729UL, 3911132675UL, 590UL,
+
+ 2553183233UL, 3201533787UL, 3638140786UL, 303378311UL, 1809731782UL,
+ 3477761648UL, 3583367183UL, 649228654UL, 2915460784UL, 487929380UL,
+ 1011012442UL, 1677677582UL, 3428152256UL, 1710878487UL, 1438394610UL,
+ 2161952759UL, 4100910556UL, 1608314830UL, 349175UL
+};
+
+
+static Bigint p5_a[]=
+{
+ /* { x } - k - maxwds - sign - wds */
+ { { powers5 }, 1, 1, 0, 1 },
+ { { powers5 + 1 }, 1, 1, 0, 1 },
+ { { powers5 + 2 }, 1, 2, 0, 2 },
+ { { powers5 + 4 }, 2, 3, 0, 3 },
+ { { powers5 + 7 }, 3, 5, 0, 5 },
+ { { powers5 + 12 }, 4, 10, 0, 10 },
+ { { powers5 + 22 }, 5, 19, 0, 19 }
+};
+
+#define P5A_MAX (sizeof(p5_a)/sizeof(*p5_a) - 1)
+
+static Bigint *pow5mult(Bigint *b, int k, Stack_alloc *alloc)
+{
+ Bigint *b1, *p5, *p51;
+ int i;
+ static int p05[3]= { 5, 25, 125 };
+
+ if ((i= k & 3))
+ b= multadd(b, p05[i-1], 0, alloc);
+
+ if (!(k>>= 2))
+ return b;
+ p5= p5_a;
+ for (;;)
+ {
+ if (k & 1)
+ {
+ b1= mult(b, p5, alloc);
+ Bfree(b, alloc);
+ b= b1;
+ }
+ if (!(k>>= 1))
+ break;
+ /* Calculate next power of 5 */
+ if (p5 < p5_a + P5A_MAX)
+ ++p5;
+ else if (p5 == p5_a + P5A_MAX)
+ p5= mult(p5, p5, alloc);
+ else
+ {
+ p51= mult(p5, p5, alloc);
+ Bfree(p5, alloc);
+ p5= p51;
+ }
+ }
+ return b;
+}
+
+
+static Bigint *lshift(Bigint *b, int k, Stack_alloc *alloc)
+{
+ int i, k1, n, n1;
+ Bigint *b1;
+ ULong *x, *x1, *xe, z;
+
+ n= k >> 5;
+ k1= b->k;
+ n1= n + b->wds + 1;
+ for (i= b->maxwds; n1 > i; i<<= 1)
+ k1++;
+ b1= Balloc(k1, alloc);
+ x1= b1->p.x;
+ for (i= 0; i < n; i++)
+ *x1++= 0;
+ x= b->p.x;
+ xe= x + b->wds;
+ if (k&= 0x1f)
+ {
+ k1= 32 - k;
+ z= 0;
+ do
+ {
+ *x1++= *x << k | z;
+ z= *x++ >> k1;
+ }
+ while (x < xe);
+ if ((*x1= z))
+ ++n1;
+ }
+ else
+ do
+ *x1++= *x++;
+ while (x < xe);
+ b1->wds= n1 - 1;
+ Bfree(b, alloc);
+ return b1;
+}
+
+
+static int cmp(Bigint *a, Bigint *b)
+{
+ ULong *xa, *xa0, *xb, *xb0;
+ int i, j;
+
+ i= a->wds;
+ j= b->wds;
+ if (i-= j)
+ return i;
+ xa0= a->p.x;
+ xa= xa0 + j;
+ xb0= b->p.x;
+ xb= xb0 + j;
+ for (;;)
+ {
+ if (*--xa != *--xb)
+ return *xa < *xb ? -1 : 1;
+ if (xa <= xa0)
+ break;
+ }
+ return 0;
+}
+
+
+static Bigint *diff(Bigint *a, Bigint *b, Stack_alloc *alloc)
+{
+ Bigint *c;
+ int i, wa, wb;
+ ULong *xa, *xae, *xb, *xbe, *xc;
+ ULLong borrow, y;
+
+ i= cmp(a,b);
+ if (!i)
+ {
+ c= Balloc(0, alloc);
+ c->wds= 1;
+ c->p.x[0]= 0;
+ return c;
+ }
+ if (i < 0)
+ {
+ c= a;
+ a= b;
+ b= c;
+ i= 1;
+ }
+ else
+ i= 0;
+ c= Balloc(a->k, alloc);
+ c->sign= i;
+ wa= a->wds;
+ xa= a->p.x;
+ xae= xa + wa;
+ wb= b->wds;
+ xb= b->p.x;
+ xbe= xb + wb;
+ xc= c->p.x;
+ borrow= 0;
+ do
+ {
+ y= (ULLong)*xa++ - *xb++ - borrow;
+ borrow= y >> 32 & (ULong)1;
+ *xc++= (ULong) (y & FFFFFFFF);
+ }
+ while (xb < xbe);
+ while (xa < xae)
+ {
+ y= *xa++ - borrow;
+ borrow= y >> 32 & (ULong)1;
+ *xc++= (ULong) (y & FFFFFFFF);
+ }
+ while (!*--xc)
+ wa--;
+ c->wds= wa;
+ return c;
+}
+
+
+static double ulp(double x)
+{
+ register Long L;
+ double a;
+
+ L= (word0(x) & Exp_mask) - (P - 1)*Exp_msk1;
+ word0(a) = L;
+ word1(a) = 0;
+ return dval(a);
+}
+
+
+static double b2d(Bigint *a, int *e)
+{
+ ULong *xa, *xa0, w, y, z;
+ int k;
+ double d;
+#define d0 word0(d)
+#define d1 word1(d)
+
+ xa0= a->p.x;
+ xa= xa0 + a->wds;
+ y= *--xa;
+ k= hi0bits(y);
+ *e= 32 - k;
+ if (k < Ebits)
+ {
+ d0= Exp_1 | y >> (Ebits - k);
+ w= xa > xa0 ? *--xa : 0;
+ d1= y << ((32-Ebits) + k) | w >> (Ebits - k);
+ goto ret_d;
+ }
+ z= xa > xa0 ? *--xa : 0;
+ if (k-= Ebits)
+ {
+ d0= Exp_1 | y << k | z >> (32 - k);
+ y= xa > xa0 ? *--xa : 0;
+ d1= z << k | y >> (32 - k);
+ }
+ else
+ {
+ d0= Exp_1 | y;
+ d1= z;
+ }
+ ret_d:
+#undef d0
+#undef d1
+ return dval(d);
+}
+
+
+static Bigint *d2b(double d, int *e, int *bits, Stack_alloc *alloc)
+{
+ Bigint *b;
+ int de, k;
+ ULong *x, y, z;
+ int i;
+#define d0 word0(d)
+#define d1 word1(d)
+
+ b= Balloc(1, alloc);
+ x= b->p.x;
+
+ z= d0 & Frac_mask;
+ d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
+ if ((de= (int)(d0 >> Exp_shift)))
+ z|= Exp_msk1;
+ if ((y= d1))
+ {
+ if ((k= lo0bits(&y)))
+ {
+ x[0]= y | z << (32 - k);
+ z>>= k;
+ }
+ else
+ x[0]= y;
+ i= b->wds= (x[1]= z) ? 2 : 1;
+ }
+ else
+ {
+ k= lo0bits(&z);
+ x[0]= z;
+ i= b->wds= 1;
+ k+= 32;
+ }
+ if (de)
+ {
+ *e= de - Bias - (P-1) + k;
+ *bits= P - k;
+ }
+ else
+ {
+ *e= de - Bias - (P-1) + 1 + k;
+ *bits= 32*i - hi0bits(x[i-1]);
+ }
+ return b;
+#undef d0
+#undef d1
+}
+
+
+static double ratio(Bigint *a, Bigint *b)
+{
+ double da, db;
+ int k, ka, kb;
+
+ dval(da)= b2d(a, &ka);
+ dval(db)= b2d(b, &kb);
+ k= ka - kb + 32*(a->wds - b->wds);
+ if (k > 0)
+ word0(da)+= k*Exp_msk1;
+ else
+ {
+ k= -k;
+ word0(db)+= k*Exp_msk1;
+ }
+ return dval(da) / dval(db);
+}
+
+static const double tens[] =
+{
+ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
+ 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
+ 1e20, 1e21, 1e22
+};
+
+static const double bigtens[]= { 1e16, 1e32, 1e64, 1e128, 1e256 };
+static const double tinytens[]=
+{ 1e-16, 1e-32, 1e-64, 1e-128,
+ 9007199254740992.*9007199254740992.e-256 /* = 2^106 * 1e-53 */
+};
+/*
+ The factor of 2^53 in tinytens[4] helps us avoid setting the underflow
+ flag unnecessarily. It leads to a song and dance at the end of strtod.
+*/
+#define Scale_Bit 0x10
+#define n_bigtens 5
+
+/*
+ strtod for IEEE--arithmetic machines.
+
+ This strtod returns a nearest machine number to the input decimal
+ string (or sets errno to EOVERFLOW). Ties are broken by the IEEE round-even
+ rule.
+
+ Inspired loosely by William D. Clinger's paper "How to Read Floating
+ Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
+
+ Modifications:
+
+ 1. We only require IEEE (not IEEE double-extended).
+ 2. We get by with floating-point arithmetic in a case that
+ Clinger missed -- when we're computing d * 10^n
+ for a small integer d and the integer n is not too
+ much larger than 22 (the maximum integer k for which
+ we can represent 10^k exactly), we may be able to
+ compute (d*10^k) * 10^(e-k) with just one roundoff.
+ 3. Rather than a bit-at-a-time adjustment of the binary
+ result in the hard case, we use floating-point
+ arithmetic to determine the adjustment to within
+ one bit; only in really hard cases do we need to
+ compute a second residual.
+ 4. Because of 3., we don't need a large table of powers of 10
+ for ten-to-e (just some small tables, e.g. of 10^k
+ for 0 <= k <= 22).
+*/
+
+static double my_strtod_int(const char *s00, char **se, int *error, char *buf, size_t buf_size)
+{
+ int scale;
+ int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
+ e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
+ const char *s, *s0, *s1, *end = *se;
+ double aadj, aadj1, adj, rv, rv0;
+ Long L;
+ ULong y, z;
+ Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+ Stack_alloc alloc;
+ LINT_INIT(c);
+
+ *error= 0;
+
+ alloc.begin= alloc.free= buf;
+ alloc.end= buf + buf_size;
+ memset(alloc.freelist, 0, sizeof(alloc.freelist));
+
+ sign= nz0= nz= 0;
+ dval(rv)= 0.;
+ for (s= s00; s < end; s++)
+ switch (*s) {
+ case '-':
+ sign= 1;
+ /* no break */
+ case '+':
+ s++;
+ goto break2;
+ case '\t':
+ case '\n':
+ case '\v':
+ case '\f':
+ case '\r':
+ case ' ':
+ continue;
+ default:
+ goto break2;
+ }
+ break2:
+ if (s >= end)
+ goto ret0;
+
+ if (*s == '0')
+ {
+ nz0= 1;
+ while (++s < end && *s == '0') ;
+ if (s >= end)
+ goto ret;
+ }
+ s0= s;
+ y= z= 0;
+ for (nd= nf= 0; s < end && (c= *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 9)
+ y= 10*y + c - '0';
+ else if (nd < 16)
+ z= 10*z + c - '0';
+ nd0= nd;
+ if (s < end - 1 && c == '.')
+ {
+ c= *++s;
+ if (!nd)
+ {
+ for (; s < end && c == '0'; c= *++s)
+ nz++;
+ if (s < end && c > '0' && c <= '9')
+ {
+ s0= s;
+ nf+= nz;
+ nz= 0;
+ goto have_dig;
+ }
+ goto dig_done;
+ }
+ for (; s < end && c >= '0' && c <= '9'; c = *++s)
+ {
+ have_dig:
+ nz++;
+ if (c-= '0')
+ {
+ nf+= nz;
+ for (i= 1; i < nz; i++)
+ if (nd++ < 9)
+ y*= 10;
+ else if (nd <= DBL_DIG + 1)
+ z*= 10;
+ if (nd++ < 9)
+ y= 10*y + c;
+ else if (nd <= DBL_DIG + 1)
+ z= 10*z + c;
+ nz= 0;
+ }
+ }
+ }
+ dig_done:
+ e= 0;
+ if (s < end && (c == 'e' || c == 'E'))
+ {
+ if (!nd && !nz && !nz0)
+ goto ret0;
+ s00= s;
+ esign= 0;
+ if (++s < end)
+ switch (c= *s) {
+ case '-':
+ esign= 1;
+ case '+':
+ c= *++s;
+ }
+ if (s < end && c >= '0' && c <= '9')
+ {
+ while (s < end && c == '0')
+ c= *++s;
+ if (s < end && c > '0' && c <= '9') {
+ L= c - '0';
+ s1= s;
+ while (++s < end && (c= *s) >= '0' && c <= '9')
+ L= 10*L + c - '0';
+ if (s - s1 > 8 || L > 19999)
+ /* Avoid confusion from exponents
+ * so large that e might overflow.
+ */
+ e= 19999; /* safe for 16 bit ints */
+ else
+ e= (int)L;
+ if (esign)
+ e= -e;
+ }
+ else
+ e= 0;
+ }
+ else
+ s= s00;
+ }
+ if (!nd)
+ {
+ if (!nz && !nz0)
+ {
+ ret0:
+ s= s00;
+ sign= 0;
+ }
+ goto ret;
+ }
+ e1= e -= nf;
+
+ /*
+ Now we have nd0 digits, starting at s0, followed by a
+ decimal point, followed by nd-nd0 digits. The number we're
+ after is the integer represented by those digits times
+ 10**e
+ */
+
+ if (!nd0)
+ nd0= nd;
+ k= nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
+ dval(rv)= y;
+ if (k > 9)
+ {
+#ifdef SET_INEXACT
+ if (k > DBL_DIG)
+ oldinexact = get_inexact();
+#endif
+ dval(rv)= tens[k - 9] * dval(rv) + z;
+ }
+ bd0= 0;
+ if (nd <= DBL_DIG
+#ifndef Honor_FLT_ROUNDS
+ && Flt_Rounds == 1
+#endif
+ )
+ {
+ if (!e)
+ goto ret;
+ if (e > 0)
+ {
+ if (e <= Ten_pmax)
+ {
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign)
+ {
+ rv= -rv;
+ sign= 0;
+ }
+#endif
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ goto ret;
+ }
+ i= DBL_DIG - nd;
+ if (e <= Ten_pmax + i)
+ {
+ /*
+ A fancier test would sometimes let us do
+ this for larger i values.
+ */
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign)
+ {
+ rv= -rv;
+ sign= 0;
+ }
+#endif
+ e-= i;
+ dval(rv)*= tens[i];
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ goto ret;
+ }
+ }
+#ifndef Inaccurate_Divide
+ else if (e >= -Ten_pmax)
+ {
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign)
+ {
+ rv= -rv;
+ sign= 0;
+ }
+#endif
+ /* rv = */ rounded_quotient(dval(rv), tens[-e]);
+ goto ret;
+ }
+#endif
+ }
+ e1+= nd - k;
+
+#ifdef SET_INEXACT
+ inexact= 1;
+ if (k <= DBL_DIG)
+ oldinexact= get_inexact();
+#endif
+ scale= 0;
+#ifdef Honor_FLT_ROUNDS
+ if ((rounding= Flt_Rounds) >= 2)
+ {
+ if (sign)
+ rounding= rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding= 0;
+ }
+#endif
+
+ /* 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:
+ *error= EOVERFLOW;
+ /* Can't trust HUGE_VAL */
+#ifdef Honor_FLT_ROUNDS
+ switch (rounding)
+ {
+ case 0: /* toward 0 */
+ case 3: /* toward -infinity */
+ word0(rv)= Big0;
+ word1(rv)= Big1;
+ break;
+ default:
+ word0(rv)= Exp_mask;
+ word1(rv)= 0;
+ }
+#else /*Honor_FLT_ROUNDS*/
+ word0(rv)= Exp_mask;
+ word1(rv)= 0;
+#endif /*Honor_FLT_ROUNDS*/
+#ifdef SET_INEXACT
+ /* set overflow bit */
+ dval(rv0)= 1e300;
+ dval(rv0)*= dval(rv0);
+#endif
+ if (bd0)
+ goto retfree;
+ goto ret;
+ }
+ e1>>= 4;
+ for(j= 0; e1 > 1; j++, e1>>= 1)
+ if (e1 & 1)
+ dval(rv)*= bigtens[j];
+ /* The last multiplication could overflow. */
+ word0(rv)-= P*Exp_msk1;
+ dval(rv)*= bigtens[j];
+ if ((z= word0(rv) & Exp_mask) > Exp_msk1 * (DBL_MAX_EXP + Bias - P))
+ goto ovfl;
+ if (z > Exp_msk1 * (DBL_MAX_EXP + Bias - 1 - P))
+ {
+ /* set to largest number (Can't trust DBL_MAX) */
+ word0(rv)= Big0;
+ word1(rv)= Big1;
+ }
+ else
+ word0(rv)+= P*Exp_msk1;
+ }
+ }
+ else if (e1 < 0)
+ {
+ e1= -e1;
+ if ((i= e1 & 15))
+ dval(rv)/= tens[i];
+ if ((e1>>= 4))
+ {
+ if (e1 >= 1 << n_bigtens)
+ goto undfl;
+ if (e1 & Scale_Bit)
+ scale= 2 * P;
+ for(j= 0; e1 > 0; j++, e1>>= 1)
+ if (e1 & 1)
+ dval(rv)*= tinytens[j];
+ if (scale && (j = 2 * P + 1 - ((word0(rv) & Exp_mask) >> Exp_shift)) > 0)
+ {
+ /* scaled rv is denormal; zap j low bits */
+ if (j >= 32)
+ {
+ word1(rv)= 0;
+ if (j >= 53)
+ word0(rv)= (P + 2) * Exp_msk1;
+ else
+ word0(rv)&= 0xffffffff << (j - 32);
+ }
+ else
+ word1(rv)&= 0xffffffff << j;
+ }
+ if (!dval(rv))
+ {
+ undfl:
+ dval(rv)= 0.;
+ if (bd0)
+ goto retfree;
+ goto ret;
+ }
+ }
+ }
+
+ /* Now the hard part -- adjusting rv to the correct value.*/
+
+ /* Put digits into bd: true value = bd * 10^e */
+
+ bd0= s2b(s0, nd0, nd, y, &alloc);
+
+ for(;;)
+ {
+ bd= Balloc(bd0->k, &alloc);
+ Bcopy(bd, bd0);
+ bb= d2b(dval(rv), &bbe, &bbbits, &alloc); /* rv = bb * 2^bbe */
+ bs= i2b(1, &alloc);
+
+ if (e >= 0)
+ {
+ bb2= bb5= 0;
+ bd2= bd5= e;
+ }
+ else
+ {
+ bb2= bb5= -e;
+ bd2= bd5= 0;
+ }
+ if (bbe >= 0)
+ bb2+= bbe;
+ else
+ bd2-= bbe;
+ bs2= bb2;
+#ifdef Honor_FLT_ROUNDS
+ if (rounding != 1)
+ bs2++;
+#endif
+ j= bbe - scale;
+ i= j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) /* denormal */
+ j+= P - Emin;
+ else
+ j= P + 1 - bbbits;
+ bb2+= j;
+ bd2+= j;
+ bd2+= scale;
+ i= bb2 < bd2 ? bb2 : bd2;
+ if (i > bs2)
+ i= bs2;
+ if (i > 0)
+ {
+ bb2-= i;
+ bd2-= i;
+ bs2-= i;
+ }
+ if (bb5 > 0)
+ {
+ bs= pow5mult(bs, bb5, &alloc);
+ bb1= mult(bs, bb, &alloc);
+ Bfree(bb, &alloc);
+ bb= bb1;
+ }
+ if (bb2 > 0)
+ bb= lshift(bb, bb2, &alloc);
+ if (bd5 > 0)
+ bd= pow5mult(bd, bd5, &alloc);
+ if (bd2 > 0)
+ bd= lshift(bd, bd2, &alloc);
+ if (bs2 > 0)
+ bs= lshift(bs, bs2, &alloc);
+ delta= diff(bb, bd, &alloc);
+ dsign= delta->sign;
+ delta->sign= 0;
+ i= cmp(delta, bs);
+#ifdef Honor_FLT_ROUNDS
+ if (rounding != 1)
+ {
+ if (i < 0)
+ {
+ /* Error is less than an ulp */
+ if (!delta->x[0] && delta->wds <= 1)
+ {
+ /* exact */
+#ifdef SET_INEXACT
+ inexact= 0;
+#endif
+ break;
+ }
+ if (rounding)
+ {
+ if (dsign)
+ {
+ adj= 1.;
+ goto apply_adj;
+ }
+ }
+ else if (!dsign)
+ {
+ adj= -1.;
+ if (!word1(rv) && !(word0(rv) & Frac_mask))
+ {
+ y= word0(rv) & Exp_mask;
+ if (!scale || y > 2*P*Exp_msk1)
+ {
+ delta= lshift(delta,Log2P);
+ if (cmp(delta, bs) <= 0)
+ adj= -0.5;
+ }
+ }
+ apply_adj:
+ if (scale && (y= word0(rv) & Exp_mask) <= 2 * P * Exp_msk1)
+ word0(adj)+= (2 * P + 1) * Exp_msk1 - y;
+ dval(rv)+= adj * ulp(dval(rv));
+ }
+ break;
+ }
+ adj= ratio(delta, bs);
+ if (adj < 1.)
+ adj= 1.;
+ if (adj <= 0x7ffffffe)
+ {
+ /* adj = rounding ? ceil(adj) : floor(adj); */
+ y= adj;
+ if (y != adj)
+ {
+ if (!((rounding >> 1) ^ dsign))
+ y++;
+ adj= y;
+ }
+ }
+ if (scale && (y= word0(rv) & Exp_mask) <= 2 * P * Exp_msk1)
+ word0(adj)+= (2 * P + 1) * Exp_msk1 - y;
+ adj*= ulp(dval(rv));
+ if (dsign)
+ dval(rv)+= adj;
+ else
+ dval(rv)-= adj;
+ goto cont;
+ }
+#endif /*Honor_FLT_ROUNDS*/
+
+ if (i < 0)
+ {
+ /*
+ Error is less than half an ulp -- check for special case of mantissa
+ a power of two.
+ */
+ if (dsign || word1(rv) || word0(rv) & Bndry_mask ||
+ (word0(rv) & Exp_mask) <= (2 * P + 1) * Exp_msk1)
+ {
+#ifdef SET_INEXACT
+ if (!delta->x[0] && delta->wds <= 1)
+ inexact= 0;
+#endif
+ break;
+ }
+ if (!delta->p.x[0] && delta->wds <= 1)
+ {
+ /* exact result */
+#ifdef SET_INEXACT
+ inexact= 0;
+#endif
+ break;
+ }
+ delta= lshift(delta, Log2P, &alloc);
+ if (cmp(delta, bs) > 0)
+ goto drop_down;
+ break;
+ }
+ if (i == 0)
+ {
+ /* exactly half-way between */
+ if (dsign)
+ {
+ if ((word0(rv) & Bndry_mask1) == Bndry_mask1 &&
+ word1(rv) ==
+ ((scale && (y = word0(rv) & Exp_mask) <= 2 * P * Exp_msk1) ?
+ (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
+ 0xffffffff))
+ {
+ /*boundary case -- increment exponent*/
+ word0(rv)= (word0(rv) & Exp_mask) + Exp_msk1;
+ word1(rv) = 0;
+ dsign = 0;
+ break;
+ }
+ }
+ else if (!(word0(rv) & Bndry_mask) && !word1(rv))
+ {
+ drop_down:
+ /* boundary case -- decrement exponent */
+ if (scale)
+ {
+ L= word0(rv) & Exp_mask;
+ if (L <= (2 *P + 1) * Exp_msk1)
+ {
+ if (L > (P + 2) * Exp_msk1)
+ /* round even ==> accept rv */
+ break;
+ /* rv = smallest denormal */
+ goto undfl;
+ }
+ }
+ L= (word0(rv) & Exp_mask) - Exp_msk1;
+ word0(rv)= L | Bndry_mask1;
+ word1(rv)= 0xffffffff;
+ break;
+ }
+ if (!(word1(rv) & LSB))
+ break;
+ if (dsign)
+ dval(rv)+= ulp(dval(rv));
+ else
+ {
+ dval(rv)-= ulp(dval(rv));
+ if (!dval(rv))
+ goto undfl;
+ }
+ dsign= 1 - dsign;
+ break;
+ }
+ if ((aadj= ratio(delta, bs)) <= 2.)
+ {
+ if (dsign)
+ aadj= aadj1= 1.;
+ else if (word1(rv) || word0(rv) & Bndry_mask)
+ {
+ if (word1(rv) == Tiny1 && !word0(rv))
+ goto undfl;
+ aadj= 1.;
+ aadj1= -1.;
+ }
+ else
+ {
+ /* special case -- power of FLT_RADIX to be rounded down... */
+ if (aadj < 2. / FLT_RADIX)
+ aadj= 1. / FLT_RADIX;
+ else
+ aadj*= 0.5;
+ aadj1= -aadj;
+ }
+ }
+ else
+ {
+ aadj*= 0.5;
+ aadj1= dsign ? aadj : -aadj;
+#ifdef Check_FLT_ROUNDS
+ switch (Rounding)
+ {
+ case 2: /* towards +infinity */
+ aadj1-= 0.5;
+ break;
+ case 0: /* towards 0 */
+ case 3: /* towards -infinity */
+ aadj1+= 0.5;
+ }
+#else
+ if (Flt_Rounds == 0)
+ aadj1+= 0.5;
+#endif /*Check_FLT_ROUNDS*/
+ }
+ y= word0(rv) & Exp_mask;
+
+ /* Check for overflow */
+
+ if (y == Exp_msk1 * (DBL_MAX_EXP + Bias - 1))
+ {
+ dval(rv0)= dval(rv);
+ word0(rv)-= P * Exp_msk1;
+ adj= aadj1 * ulp(dval(rv));
+ dval(rv)+= adj;
+ if ((word0(rv) & Exp_mask) >= Exp_msk1 * (DBL_MAX_EXP + Bias - P))
+ {
+ if (word0(rv0) == Big0 && word1(rv0) == Big1)
+ goto ovfl;
+ word0(rv)= Big0;
+ word1(rv)= Big1;
+ goto cont;
+ }
+ else
+ word0(rv)+= P * Exp_msk1;
+ }
+ else
+ {
+ if (scale && y <= 2 * P * Exp_msk1)
+ {
+ if (aadj <= 0x7fffffff)
+ {
+ if ((z= (ULong) aadj) <= 0)
+ z= 1;
+ aadj= z;
+ aadj1= dsign ? aadj : -aadj;
+ }
+ word0(aadj1)+= (2 * P + 1) * Exp_msk1 - y;
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+ }
+ z= word0(rv) & Exp_mask;
+#ifndef SET_INEXACT
+ if (!scale)
+ if (y == z)
+ {
+ /* Can we stop now? */
+ L= (Long)aadj;
+ aadj-= L;
+ /* The tolerances below are conservative. */
+ if (dsign || word1(rv) || word0(rv) & Bndry_mask)
+ {
+ if (aadj < .4999999 || aadj > .5000001)
+ break;
+ }
+ else if (aadj < .4999999 / FLT_RADIX)
+ break;
+ }
+#endif
+ cont:
+ Bfree(bb, &alloc);
+ Bfree(bd, &alloc);
+ Bfree(bs, &alloc);
+ Bfree(delta, &alloc);
+ }
+#ifdef SET_INEXACT
+ if (inexact)
+ {
+ if (!oldinexact)
+ {
+ word0(rv0)= Exp_1 + (70 << Exp_shift);
+ word1(rv0)= 0;
+ dval(rv0)+= 1.;
+ }
+ }
+ else if (!oldinexact)
+ clear_inexact();
+#endif
+ if (scale)
+ {
+ word0(rv0)= Exp_1 - 2 * P * Exp_msk1;
+ word1(rv0)= 0;
+ dval(rv)*= dval(rv0);
+ }
+#ifdef SET_INEXACT
+ if (inexact && !(word0(rv) & Exp_mask))
+ {
+ /* set underflow bit */
+ dval(rv0)= 1e-300;
+ dval(rv0)*= dval(rv0);
+ }
+#endif
+ retfree:
+ Bfree(bb, &alloc);
+ Bfree(bd, &alloc);
+ Bfree(bs, &alloc);
+ Bfree(bd0, &alloc);
+ Bfree(delta, &alloc);
+ ret:
+ *se= (char *)s;
+ return sign ? -dval(rv) : dval(rv);
+}
+
+
+static int quorem(Bigint *b, Bigint *S)
+{
+ int n;
+ ULong *bx, *bxe, q, *sx, *sxe;
+ ULLong borrow, carry, y, ys;
+
+ n= S->wds;
+ if (b->wds < n)
+ return 0;
+ sx= S->p.x;
+ sxe= sx + --n;
+ bx= b->p.x;
+ bxe= bx + n;
+ q= *bxe / (*sxe + 1); /* ensure q <= true quotient */
+ if (q)
+ {
+ borrow= 0;
+ carry= 0;
+ do
+ {
+ ys= *sx++ * (ULLong)q + carry;
+ carry= ys >> 32;
+ y= *bx - (ys & FFFFFFFF) - borrow;
+ borrow= y >> 32 & (ULong)1;
+ *bx++= (ULong) (y & FFFFFFFF);
+ }
+ while (sx <= sxe);
+ if (!*bxe)
+ {
+ bx= b->p.x;
+ while (--bxe > bx && !*bxe)
+ --n;
+ b->wds= n;
+ }
+ }
+ if (cmp(b, S) >= 0)
+ {
+ q++;
+ borrow= 0;
+ carry= 0;
+ bx= b->p.x;
+ sx= S->p.x;
+ do
+ {
+ ys= *sx++ + carry;
+ carry= ys >> 32;
+ y= *bx - (ys & FFFFFFFF) - borrow;
+ borrow= y >> 32 & (ULong)1;
+ *bx++= (ULong) (y & FFFFFFFF);
+ }
+ while (sx <= sxe);
+ bx= b->p.x;
+ bxe= bx + n;
+ if (!*bxe)
+ {
+ while (--bxe > bx && !*bxe)
+ --n;
+ b->wds= n;
+ }
+ }
+ return q;
+}
+
+
+/*
+ dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
+
+ Inspired by "How to Print Floating-Point Numbers Accurately" by
+ Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
+
+ Modifications:
+ 1. Rather than iterating, we use a simple numeric overestimate
+ to determine k= floor(log10(d)). We scale relevant
+ quantities using O(log2(k)) rather than O(k) multiplications.
+ 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
+ try to generate digits strictly left to right. Instead, we
+ compute with fewer bits and propagate the carry if necessary
+ when rounding the final digit up. This is often faster.
+ 3. Under the assumption that input will be rounded nearest,
+ mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
+ That is, we allow equality in stopping tests when the
+ round-nearest rule will give the same floating-point value
+ as would satisfaction of the stopping test with strict
+ inequality.
+ 4. We remove common factors of powers of 2 from relevant
+ quantities.
+ 5. When converting floating-point integers less than 1e16,
+ we use floating-point arithmetic rather than resorting
+ to multiple-precision integers.
+ 6. When asked to produce fewer than 15 digits, we first try
+ to get by with floating-point arithmetic; we resort to
+ multiple-precision integer arithmetic only if we cannot
+ guarantee that the floating-point calculation has given
+ the correctly rounded result. For k requested digits and
+ "uniformly" distributed input, the probability is
+ something like 10^(k-15) that we must resort to the Long
+ calculation.
+ */
+
+static char *dtoa(double d, int mode, int ndigits, int *decpt, int *sign,
+ char **rve, char *buf, size_t buf_size)
+{
+ /*
+ Arguments ndigits, decpt, sign are similar to those
+ of ecvt and fcvt; trailing zeros are suppressed from
+ the returned string. If not null, *rve is set to point
+ to the end of the return value. If d is +-Infinity or NaN,
+ then *decpt is set to DTOA_OVERFLOW.
+
+ mode:
+ 0 ==> shortest string that yields d when read in
+ and rounded to nearest.
+ 1 ==> like 0, but with Steele & White stopping rule;
+ e.g. with IEEE P754 arithmetic , mode 0 gives
+ 1e23 whereas mode 1 gives 9.999999999999999e22.
+ 2 ==> max(1,ndigits) significant digits. This gives a
+ return value similar to that of ecvt, except
+ that trailing zeros are suppressed.
+ 3 ==> through ndigits past the decimal point. This
+ gives a return value similar to that from fcvt,
+ except that trailing zeros are suppressed, and
+ ndigits can be negative.
+ 4,5 ==> similar to 2 and 3, respectively, but (in
+ round-nearest mode) with the tests of mode 0 to
+ possibly return a shorter string that rounds to d.
+ With IEEE arithmetic and compilation with
+ -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
+ as modes 2 and 3 when FLT_ROUNDS != 1.
+ 6-9 ==> Debugging modes similar to mode - 4: don't try
+ fast floating-point estimate (if applicable).
+
+ Values of mode other than 0-9 are treated as mode 0.
+
+ Sufficient space is allocated to the return value
+ to hold the suppressed trailing zeros.
+ */
+
+ int bbits, b2, b5, be, dig, i, ieps, UNINIT_VAR(ilim), ilim0,
+ UNINIT_VAR(ilim1), j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
+ spec_case, try_quick;
+ Long L;
+ int denorm;
+ ULong x;
+ Bigint *b, *b1, *delta, *mlo, *mhi, *S;
+ double d2, ds, eps;
+ char *s, *s0;
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+ Stack_alloc alloc;
+
+ alloc.begin= alloc.free= buf;
+ alloc.end= buf + buf_size;
+ memset(alloc.freelist, 0, sizeof(alloc.freelist));
+
+ if (word0(d) & Sign_bit)
+ {
+ /* set sign for everything, including 0's and NaNs */
+ *sign= 1;
+ word0(d) &= ~Sign_bit; /* clear sign bit */
+ }
+ else
+ *sign= 0;
+
+ /* If infinity, set decpt to DTOA_OVERFLOW, if 0 set it to 1 */
+ if (((word0(d) & Exp_mask) == Exp_mask && (*decpt= DTOA_OVERFLOW)) ||
+ (!dval(d) && (*decpt= 1)))
+ {
+ /* Infinity, NaN, 0 */
+ char *res= (char*) dtoa_alloc(2, &alloc);
+ res[0]= '0';
+ res[1]= '\0';
+ if (rve)
+ *rve= res + 1;
+ return res;
+ }
+
+#ifdef Honor_FLT_ROUNDS
+ if ((rounding= Flt_Rounds) >= 2)
+ {
+ if (*sign)
+ rounding= rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding= 0;
+ }
+#endif
+
+ b= d2b(dval(d), &be, &bbits, &alloc);
+ if ((i= (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))))
+ {
+ dval(d2)= dval(d);
+ word0(d2) &= Frac_mask1;
+ word0(d2) |= Exp_11;
+
+ /*
+ log(x) ~=~ log(1.5) + (x-1.5)/1.5
+ log10(x) = log(x) / log(10)
+ ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
+ log10(d)= (i-Bias)*log(2)/log(10) + log10(d2)
+
+ This suggests computing an approximation k to log10(d) by
+
+ k= (i - Bias)*0.301029995663981
+ + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
+
+ We want k to be too large rather than too small.
+ The error in the first-order Taylor series approximation
+ is in our favor, so we just round up the constant enough
+ to compensate for any error in the multiplication of
+ (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
+ and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
+ adding 1e-13 to the constant term more than suffices.
+ Hence we adjust the constant term to 0.1760912590558.
+ (We could get a more accurate k by invoking log10,
+ but this is probably not worthwhile.)
+ */
+
+ i-= Bias;
+ denorm= 0;
+ }
+ else
+ {
+ /* d is denormalized */
+
+ i= bbits + be + (Bias + (P-1) - 1);
+ x= i > 32 ? word0(d) << (64 - i) | word1(d) >> (i - 32)
+ : word1(d) << (32 - i);
+ dval(d2)= x;
+ word0(d2)-= 31*Exp_msk1; /* adjust exponent */
+ i-= (Bias + (P-1) - 1) + 1;
+ denorm= 1;
+ }
+ ds= (dval(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
+ k= (int)ds;
+ if (ds < 0. && ds != k)
+ k--; /* want k= floor(ds) */
+ k_check= 1;
+ if (k >= 0 && k <= Ten_pmax)
+ {
+ if (dval(d) < tens[k])
+ k--;
+ k_check= 0;
+ }
+ j= bbits - i - 1;
+ if (j >= 0)
+ {
+ b2= 0;
+ s2= j;
+ }
+ else
+ {
+ b2= -j;
+ s2= 0;
+ }
+ if (k >= 0)
+ {
+ b5= 0;
+ s5= k;
+ s2+= k;
+ }
+ else
+ {
+ b2-= k;
+ b5= -k;
+ s5= 0;
+ }
+ if (mode < 0 || mode > 9)
+ mode= 0;
+
+#ifdef Check_FLT_ROUNDS
+ try_quick= Rounding == 1;
+#else
+ try_quick= 1;
+#endif
+
+ if (mode > 5)
+ {
+ mode-= 4;
+ try_quick= 0;
+ }
+ leftright= 1;
+ switch (mode) {
+ case 0:
+ case 1:
+ ilim= ilim1= -1;
+ i= 18;
+ ndigits= 0;
+ break;
+ case 2:
+ leftright= 0;
+ /* no break */
+ case 4:
+ if (ndigits <= 0)
+ ndigits= 1;
+ ilim= ilim1= i= ndigits;
+ break;
+ case 3:
+ leftright= 0;
+ /* no break */
+ case 5:
+ i= ndigits + k + 1;
+ ilim= i;
+ ilim1= i - 1;
+ if (i <= 0)
+ i= 1;
+ }
+ s= s0= dtoa_alloc(i, &alloc);
+
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1 && rounding != 1)
+ leftright= 0;
+#endif
+
+ if (ilim >= 0 && ilim <= Quick_max && try_quick)
+ {
+ /* Try to get by with floating-point arithmetic. */
+ i= 0;
+ dval(d2)= dval(d);
+ k0= k;
+ ilim0= ilim;
+ ieps= 2; /* conservative */
+ if (k > 0)
+ {
+ ds= tens[k&0xf];
+ j= k >> 4;
+ if (j & Bletch)
+ {
+ /* prevent overflows */
+ j&= Bletch - 1;
+ dval(d)/= bigtens[n_bigtens-1];
+ ieps++;
+ }
+ for (; j; j>>= 1, i++)
+ {
+ if (j & 1)
+ {
+ ieps++;
+ ds*= bigtens[i];
+ }
+ }
+ dval(d)/= ds;
+ }
+ else if ((j1= -k))
+ {
+ dval(d)*= tens[j1 & 0xf];
+ for (j= j1 >> 4; j; j>>= 1, i++)
+ {
+ if (j & 1)
+ {
+ ieps++;
+ dval(d)*= bigtens[i];
+ }
+ }
+ }
+ if (k_check && dval(d) < 1. && ilim > 0)
+ {
+ if (ilim1 <= 0)
+ goto fast_failed;
+ ilim= ilim1;
+ k--;
+ dval(d)*= 10.;
+ ieps++;
+ }
+ dval(eps)= ieps*dval(d) + 7.;
+ word0(eps)-= (P-1)*Exp_msk1;
+ if (ilim == 0)
+ {
+ S= mhi= 0;
+ dval(d)-= 5.;
+ if (dval(d) > dval(eps))
+ goto one_digit;
+ if (dval(d) < -dval(eps))
+ goto no_digits;
+ goto fast_failed;
+ }
+ if (leftright)
+ {
+ /* Use Steele & White method of only generating digits needed. */
+ dval(eps)= 0.5/tens[ilim-1] - dval(eps);
+ for (i= 0;;)
+ {
+ L= (Long) dval(d);
+ dval(d)-= L;
+ *s++= '0' + (int)L;
+ if (dval(d) < dval(eps))
+ goto ret1;
+ if (1. - dval(d) < dval(eps))
+ goto bump_up;
+ if (++i >= ilim)
+ break;
+ dval(eps)*= 10.;
+ dval(d)*= 10.;
+ }
+ }
+ else
+ {
+ /* Generate ilim digits, then fix them up. */
+ dval(eps)*= tens[ilim-1];
+ for (i= 1;; i++, dval(d)*= 10.)
+ {
+ L= (Long)(dval(d));
+ if (!(dval(d)-= L))
+ ilim= i;
+ *s++= '0' + (int)L;
+ if (i == ilim)
+ {
+ if (dval(d) > 0.5 + dval(eps))
+ goto bump_up;
+ else if (dval(d) < 0.5 - dval(eps))
+ {
+ while (*--s == '0');
+ s++;
+ goto ret1;
+ }
+ break;
+ }
+ }
+ }
+ fast_failed:
+ s= s0;
+ dval(d)= dval(d2);
+ k= k0;
+ ilim= ilim0;
+ }
+
+ /* Do we have a "small" integer? */
+
+ if (be >= 0 && k <= Int_max)
+ {
+ /* Yes. */
+ ds= tens[k];
+ if (ndigits < 0 && ilim <= 0)
+ {
+ S= mhi= 0;
+ if (ilim < 0 || dval(d) <= 5*ds)
+ goto no_digits;
+ goto one_digit;
+ }
+ for (i= 1;; i++, dval(d)*= 10.)
+ {
+ L= (Long)(dval(d) / ds);
+ dval(d)-= L*ds;
+#ifdef Check_FLT_ROUNDS
+ /* If FLT_ROUNDS == 2, L will usually be high by 1 */
+ if (dval(d) < 0)
+ {
+ L--;
+ dval(d)+= ds;
+ }
+#endif
+ *s++= '0' + (int)L;
+ if (!dval(d))
+ {
+ break;
+ }
+ if (i == ilim)
+ {
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1)
+ {
+ switch (rounding) {
+ case 0: goto ret1;
+ case 2: goto bump_up;
+ }
+ }
+#endif
+ dval(d)+= dval(d);
+ if (dval(d) > ds || (dval(d) == ds && L & 1))
+ {
+bump_up:
+ while (*--s == '9')
+ if (s == s0)
+ {
+ k++;
+ *s= '0';
+ break;
+ }
+ ++*s++;
+ }
+ break;
+ }
+ }
+ goto ret1;
+ }
+
+ m2= b2;
+ m5= b5;
+ mhi= mlo= 0;
+ if (leftright)
+ {
+ i = denorm ? be + (Bias + (P-1) - 1 + 1) : 1 + P - bbits;
+ b2+= i;
+ s2+= i;
+ mhi= i2b(1, &alloc);
+ }
+ if (m2 > 0 && s2 > 0)
+ {
+ i= m2 < s2 ? m2 : s2;
+ b2-= i;
+ m2-= i;
+ s2-= i;
+ }
+ if (b5 > 0)
+ {
+ if (leftright)
+ {
+ if (m5 > 0)
+ {
+ mhi= pow5mult(mhi, m5, &alloc);
+ b1= mult(mhi, b, &alloc);
+ Bfree(b, &alloc);
+ b= b1;
+ }
+ if ((j= b5 - m5))
+ b= pow5mult(b, j, &alloc);
+ }
+ else
+ b= pow5mult(b, b5, &alloc);
+ }
+ S= i2b(1, &alloc);
+ if (s5 > 0)
+ S= pow5mult(S, s5, &alloc);
+
+ /* Check for special case that d is a normalized power of 2. */
+
+ spec_case= 0;
+ if ((mode < 2 || leftright)
+#ifdef Honor_FLT_ROUNDS
+ && rounding == 1
+#endif
+ )
+ {
+ if (!word1(d) && !(word0(d) & Bndry_mask) &&
+ word0(d) & (Exp_mask & ~Exp_msk1)
+ )
+ {
+ /* The special case */
+ b2+= Log2P;
+ s2+= Log2P;
+ spec_case= 1;
+ }
+ }
+
+ /*
+ Arrange for convenient computation of quotients:
+ shift left if necessary so divisor has 4 leading 0 bits.
+
+ Perhaps we should just compute leading 28 bits of S once
+ a nd for all and pass them and a shift to quorem, so it
+ can do shifts and ors to compute the numerator for q.
+ */
+ if ((i= ((s5 ? 32 - hi0bits(S->p.x[S->wds-1]) : 1) + s2) & 0x1f))
+ i= 32 - i;
+ if (i > 4)
+ {
+ i-= 4;
+ b2+= i;
+ m2+= i;
+ s2+= i;
+ }
+ else if (i < 4)
+ {
+ i+= 28;
+ b2+= i;
+ m2+= i;
+ s2+= i;
+ }
+ if (b2 > 0)
+ b= lshift(b, b2, &alloc);
+ if (s2 > 0)
+ S= lshift(S, s2, &alloc);
+ if (k_check)
+ {
+ if (cmp(b,S) < 0)
+ {
+ k--;
+ /* we botched the k estimate */
+ b= multadd(b, 10, 0, &alloc);
+ if (leftright)
+ mhi= multadd(mhi, 10, 0, &alloc);
+ ilim= ilim1;
+ }
+ }
+ if (ilim <= 0 && (mode == 3 || mode == 5))
+ {
+ if (ilim < 0 || cmp(b,S= multadd(S,5,0, &alloc)) <= 0)
+ {
+ /* no digits, fcvt style */
+no_digits:
+ k= -1 - ndigits;
+ goto ret;
+ }
+one_digit:
+ *s++= '1';
+ k++;
+ goto ret;
+ }
+ if (leftright)
+ {
+ if (m2 > 0)
+ mhi= lshift(mhi, m2, &alloc);
+
+ /*
+ Compute mlo -- check for special case that d is a normalized power of 2.
+ */
+
+ mlo= mhi;
+ if (spec_case)
+ {
+ mhi= Balloc(mhi->k, &alloc);
+ Bcopy(mhi, mlo);
+ mhi= lshift(mhi, Log2P, &alloc);
+ }
+
+ for (i= 1;;i++)
+ {
+ dig= quorem(b,S) + '0';
+ /* Do we yet have the shortest decimal string that will round to d? */
+ j= cmp(b, mlo);
+ delta= diff(S, mhi, &alloc);
+ j1= delta->sign ? 1 : cmp(b, delta);
+ Bfree(delta, &alloc);
+ if (j1 == 0 && mode != 1 && !(word1(d) & 1)
+#ifdef Honor_FLT_ROUNDS
+ && rounding >= 1
+#endif
+ )
+ {
+ if (dig == '9')
+ goto round_9_up;
+ if (j > 0)
+ dig++;
+ *s++= dig;
+ goto ret;
+ }
+ if (j < 0 || (j == 0 && mode != 1 && !(word1(d) & 1)))
+ {
+ if (!b->p.x[0] && b->wds <= 1)
+ {
+ goto accept_dig;
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1)
+ switch (rounding) {
+ case 0: goto accept_dig;
+ case 2: goto keep_dig;
+ }
+#endif /*Honor_FLT_ROUNDS*/
+ if (j1 > 0)
+ {
+ b= lshift(b, 1, &alloc);
+ j1= cmp(b, S);
+ if ((j1 > 0 || (j1 == 0 && dig & 1))
+ && dig++ == '9')
+ goto round_9_up;
+ }
+accept_dig:
+ *s++= dig;
+ goto ret;
+ }
+ if (j1 > 0)
+ {
+#ifdef Honor_FLT_ROUNDS
+ if (!rounding)
+ goto accept_dig;
+#endif
+ if (dig == '9')
+ { /* possible if i == 1 */
+round_9_up:
+ *s++= '9';
+ goto roundoff;
+ }
+ *s++= dig + 1;
+ goto ret;
+ }
+#ifdef Honor_FLT_ROUNDS
+keep_dig:
+#endif
+ *s++= dig;
+ if (i == ilim)
+ break;
+ b= multadd(b, 10, 0, &alloc);
+ if (mlo == mhi)
+ mlo= mhi= multadd(mhi, 10, 0, &alloc);
+ else
+ {
+ mlo= multadd(mlo, 10, 0, &alloc);
+ mhi= multadd(mhi, 10, 0, &alloc);
+ }
+ }
+ }
+ else
+ for (i= 1;; i++)
+ {
+ *s++= dig= quorem(b,S) + '0';
+ if (!b->p.x[0] && b->wds <= 1)
+ {
+ goto ret;
+ }
+ if (i >= ilim)
+ break;
+ b= multadd(b, 10, 0, &alloc);
+ }
+
+ /* Round off last digit */
+
+#ifdef Honor_FLT_ROUNDS
+ switch (rounding) {
+ case 0: goto trimzeros;
+ case 2: goto roundoff;
+ }
+#endif
+ b= lshift(b, 1, &alloc);
+ j= cmp(b, S);
+ if (j > 0 || (j == 0 && dig & 1))
+ {
+roundoff:
+ while (*--s == '9')
+ if (s == s0)
+ {
+ k++;
+ *s++= '1';
+ goto ret;
+ }
+ ++*s++;
+ }
+ else
+ {
+#ifdef Honor_FLT_ROUNDS
+trimzeros:
+#endif
+ while (*--s == '0');
+ s++;
+ }
+ret:
+ Bfree(S, &alloc);
+ if (mhi)
+ {
+ if (mlo && mlo != mhi)
+ Bfree(mlo, &alloc);
+ Bfree(mhi, &alloc);
+ }
+ret1:
+ Bfree(b, &alloc);
+ *s= 0;
+ *decpt= k + 1;
+ if (rve)
+ *rve= s;
+ return s0;
+}
diff --git a/strings/strtod.c b/strings/strtod.c
deleted file mode 100644
index 4c9cf931cb3..00000000000
--- a/strings/strtod.c
+++ /dev/null
@@ -1,236 +0,0 @@
-/*
- An alternative implementation of "strtod()" that is both
- simplier, and thread-safe.
-
- Original code from mit-threads as bundled with MySQL 3.23
-
- SQL:2003 specifies a number as
-
-<signed numeric literal> ::= [ <sign> ] <unsigned numeric literal>
-
-<unsigned numeric literal> ::=
- <exact numeric literal>
- | <approximate numeric literal>
-
-<exact numeric literal> ::=
- <unsigned integer> [ <period> [ <unsigned integer> ] ]
- | <period> <unsigned integer>
-
-<approximate numeric literal> ::= <mantissa> E <exponent>
-
-<mantissa> ::= <exact numeric literal>
-
-<exponent> ::= <signed integer>
-
- So do we.
-
- */
-
-#include "my_base.h" /* Includes errno.h + EOVERFLOW */
-#include "m_ctype.h"
-#ifdef HAVE_IEEEFP_H
-#include <ieeefp.h>
-#endif
-
-#define MAX_DBL_EXP 308
-#define MAX_RESULT_FOR_MAX_EXP 1.7976931348623157
-
-const double log_10[] = {
- 1e000, 1e001, 1e002, 1e003, 1e004, 1e005, 1e006, 1e007, 1e008, 1e009,
- 1e010, 1e011, 1e012, 1e013, 1e014, 1e015, 1e016, 1e017, 1e018, 1e019,
- 1e020, 1e021, 1e022, 1e023, 1e024, 1e025, 1e026, 1e027, 1e028, 1e029,
- 1e030, 1e031, 1e032, 1e033, 1e034, 1e035, 1e036, 1e037, 1e038, 1e039,
- 1e040, 1e041, 1e042, 1e043, 1e044, 1e045, 1e046, 1e047, 1e048, 1e049,
- 1e050, 1e051, 1e052, 1e053, 1e054, 1e055, 1e056, 1e057, 1e058, 1e059,
- 1e060, 1e061, 1e062, 1e063, 1e064, 1e065, 1e066, 1e067, 1e068, 1e069,
- 1e070, 1e071, 1e072, 1e073, 1e074, 1e075, 1e076, 1e077, 1e078, 1e079,
- 1e080, 1e081, 1e082, 1e083, 1e084, 1e085, 1e086, 1e087, 1e088, 1e089,
- 1e090, 1e091, 1e092, 1e093, 1e094, 1e095, 1e096, 1e097, 1e098, 1e099,
- 1e100, 1e101, 1e102, 1e103, 1e104, 1e105, 1e106, 1e107, 1e108, 1e109,
- 1e110, 1e111, 1e112, 1e113, 1e114, 1e115, 1e116, 1e117, 1e118, 1e119,
- 1e120, 1e121, 1e122, 1e123, 1e124, 1e125, 1e126, 1e127, 1e128, 1e129,
- 1e130, 1e131, 1e132, 1e133, 1e134, 1e135, 1e136, 1e137, 1e138, 1e139,
- 1e140, 1e141, 1e142, 1e143, 1e144, 1e145, 1e146, 1e147, 1e148, 1e149,
- 1e150, 1e151, 1e152, 1e153, 1e154, 1e155, 1e156, 1e157, 1e158, 1e159,
- 1e160, 1e161, 1e162, 1e163, 1e164, 1e165, 1e166, 1e167, 1e168, 1e169,
- 1e170, 1e171, 1e172, 1e173, 1e174, 1e175, 1e176, 1e177, 1e178, 1e179,
- 1e180, 1e181, 1e182, 1e183, 1e184, 1e185, 1e186, 1e187, 1e188, 1e189,
- 1e190, 1e191, 1e192, 1e193, 1e194, 1e195, 1e196, 1e197, 1e198, 1e199,
- 1e200, 1e201, 1e202, 1e203, 1e204, 1e205, 1e206, 1e207, 1e208, 1e209,
- 1e210, 1e211, 1e212, 1e213, 1e214, 1e215, 1e216, 1e217, 1e218, 1e219,
- 1e220, 1e221, 1e222, 1e223, 1e224, 1e225, 1e226, 1e227, 1e228, 1e229,
- 1e230, 1e231, 1e232, 1e233, 1e234, 1e235, 1e236, 1e237, 1e238, 1e239,
- 1e240, 1e241, 1e242, 1e243, 1e244, 1e245, 1e246, 1e247, 1e248, 1e249,
- 1e250, 1e251, 1e252, 1e253, 1e254, 1e255, 1e256, 1e257, 1e258, 1e259,
- 1e260, 1e261, 1e262, 1e263, 1e264, 1e265, 1e266, 1e267, 1e268, 1e269,
- 1e270, 1e271, 1e272, 1e273, 1e274, 1e275, 1e276, 1e277, 1e278, 1e279,
- 1e280, 1e281, 1e282, 1e283, 1e284, 1e285, 1e286, 1e287, 1e288, 1e289,
- 1e290, 1e291, 1e292, 1e293, 1e294, 1e295, 1e296, 1e297, 1e298, 1e299,
- 1e300, 1e301, 1e302, 1e303, 1e304, 1e305, 1e306, 1e307, 1e308
-};
-
-/*
- Convert string to double (string doesn't have to be null terminated)
-
- SYNOPSIS
- my_strtod()
- str String to convert
- end_ptr Pointer to pointer that points to end of string
- Will be updated to point to end of double.
- error Will contain error number in case of error (else 0)
-
- RETURN
- value of str as double
-*/
-
-double my_strtod(const char *str, char **end_ptr, int *error)
-{
- double result= 0.0;
- uint negative= 0, neg_exp= 0;
- size_t ndigits, dec_digits= 0;
- int exponent= 0, digits_after_dec_point= 0, tmp_exp, step;
- const char *old_str, *end= *end_ptr, *start_of_number;
- char next_char;
- my_bool overflow=0;
- double scaler= 1.0;
-
- *error= 0;
- if (str >= end)
- goto done;
-
- while (my_isspace(&my_charset_latin1, *str))
- {
- if (++str == end)
- goto done;
- }
-
- start_of_number= str;
- if ((negative= (*str == '-')) || *str=='+')
- {
- if (++str == end)
- goto done; /* Could be changed to error */
- }
-
- /* Skip pre-zero for easier calculation of overflows */
- while (*str == '0')
- {
- if (++str == end)
- goto done;
- start_of_number= 0; /* Found digit */
- }
-
- old_str= str;
- while ((next_char= *str) >= '0' && next_char <= '9')
- {
- result= result*10.0 + (next_char - '0');
- scaler= scaler*10.0;
- if (++str == end)
- {
- next_char= 0; /* Found end of string */
- break;
- }
- start_of_number= 0; /* Found digit */
- }
- ndigits= (size_t) (str-old_str);
-
- if (next_char == '.' && str < end-1)
- {
- /*
- Continue to add numbers after decimal point to the result, as if there
- was no decimal point. We will later (in the exponent handling) shift
- the number down with the required number of fractions. We do it this
- way to be able to get maximum precision for numbers like 123.45E+02,
- which are normal for some ODBC applications.
- */
- old_str= ++str;
- while (my_isdigit(&my_charset_latin1, (next_char= *str)))
- {
- result= result*10.0 + (next_char - '0');
- digits_after_dec_point++;
- scaler= scaler*10.0;
- if (++str == end)
- {
- next_char= 0;
- break;
- }
- }
- /* If we found just '+.' or '.' then point at first character */
- if (!(dec_digits= (size_t) (str-old_str)) && start_of_number)
- str= start_of_number; /* Point at '+' or '.' */
- }
- if ((next_char == 'e' || next_char == 'E') &&
- dec_digits + ndigits != 0 && str < end-1)
- {
- const char *old_str2= str++;
-
- if ((neg_exp= (*str == '-')) || *str == '+')
- str++;
-
- if (str == end || !my_isdigit(&my_charset_latin1, *str))
- str= old_str2;
- else
- {
- do
- {
- if (exponent < 9999) /* prot. against exp overfl. */
- exponent= exponent*10 + (*str - '0');
- str++;
- } while (str < end && my_isdigit(&my_charset_latin1, *str));
- }
- }
- tmp_exp= (neg_exp ? exponent + digits_after_dec_point :
- exponent - digits_after_dec_point);
- if (tmp_exp)
- {
- int order;
- /*
- Check for underflow/overflow.
- order is such an integer number that f = C * 10 ^ order,
- where f is the resulting floating point number and 1 <= C < 10.
- Here we compute the modulus
- */
- order= exponent + (neg_exp ? -1 : 1) * (ndigits - 1);
- if (order < 0)
- order= -order;
- if (order >= MAX_DBL_EXP && !neg_exp && result)
- {
- double c;
- /* Compute modulus of C (see comment above) */
- c= result / scaler * 10.0;
- if (order > MAX_DBL_EXP || c > MAX_RESULT_FOR_MAX_EXP)
- {
- overflow= 1;
- goto done;
- }
- }
-
- exponent= tmp_exp;
- if (exponent < 0)
- {
- exponent= -exponent;
- neg_exp= 1; /* neg_exp was 0 before */
- }
- step= array_elements(log_10) - 1;
- for (; exponent > step; exponent-= step)
- result= neg_exp ? result / log_10[step] : result * log_10[step];
- result= neg_exp ? result / log_10[exponent] : result * log_10[exponent];
- }
-
-done:
- *end_ptr= (char*) str; /* end of number */
-
- if (overflow || my_isinf(result))
- {
- result= DBL_MAX;
- *error= EOVERFLOW;
- }
-
- return negative ? -result : result;
-}
-
-double my_atof(const char *nptr)
-{
- int error;
- const char *end= nptr+65535; /* Should be enough */
- return (my_strtod(nptr, (char**) &end, &error));
-}