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" 

1 files changed, 17 insertions, 17 deletions

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;