#
# Test of math functions
#

--disable_warnings                                                              
drop table if exists t1;                                                        
--enable_warnings                                                               

select floor(5.5),floor(-5.5);
explain extended select floor(5.5),floor(-5.5);
select ceiling(5.5),ceiling(-5.5);
explain extended select ceiling(5.5),ceiling(-5.5);
select truncate(52.64,1),truncate(52.64,2),truncate(52.64,-1),truncate(52.64,-2), truncate(-52.64,1),truncate(-52.64,-1);
explain extended select truncate(52.64,1),truncate(52.64,2),truncate(52.64,-1),truncate(52.64,-2), truncate(-52.64,1),truncate(-52.64,-1);
select round(5.5),round(-5.5);
explain extended select round(5.5),round(-5.5);
select round(5.64,1),round(5.64,2),round(5.64,-1),round(5.64,-2);
select abs(-10), sign(-5), sign(5), sign(0);
explain extended select abs(-10), sign(-5), sign(5), sign(0);
--replace_result  2.0000000000000004 2
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);
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);
select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
explain extended select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
explain extended select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
explain extended select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
select pow(10,log10(10)),power(2,4);
explain extended select pow(10,log10(10)),power(2,4);
set @@rand_seed1=10000000,@@rand_seed2=1000000;
select rand(999999),rand();
explain extended select rand(999999),rand();
select pi(),format(sin(pi()/2),6),format(cos(pi()/2),6),format(abs(tan(pi())),6),format(cot(1),6),format(asin(1),6),format(acos(0),6),format(atan(1),6);
explain extended select pi(),format(sin(pi()/2),6),format(cos(pi()/2),6),format(abs(tan(pi())),6),format(cot(1),6),format(asin(1),6),format(acos(0),6),format(atan(1),6);
select degrees(pi()),radians(360);

select format(atan(-2, 2), 6);
select format(atan(pi(), 0), 6);
select format(atan2(-2, 2), 6);
select format(atan2(pi(), 0), 6);

#
# Bug #2338 Trignometric arithmatic problems 
#

SELECT ACOS(1.0);
SELECT ASIN(1.0);
SELECT ACOS(0.2*5.0);
SELECT ACOS(0.5*2.0);
SELECT ASIN(0.8+0.2);
SELECT ASIN(1.2-0.2);

#
# Bug #3051 FLOOR returns invalid 
#

# This can't be tested as it's not portable
#select floor(log(4)/log(2));
#select floor(log(8)/log(2));
#select floor(log(16)/log(2));

#
# Bug #9060 (format returns incorrect result)
#
select format(4.55, 1), format(4.551, 1);

explain extended select degrees(pi()),radians(360);

#
# Bug #7281: problem with rand()
#

--error 1054
select rand(rand);

# End of 4.1 tests

#
# Bug #8459 (FORMAT returns incorrect result)
#
create table t1 (col1 int, col2 decimal(60,30));
insert into t1 values(1,1234567890.12345);
select format(col2,7) from t1;
select format(col2,8) from t1;
insert into t1 values(7,1234567890123456.12345);
select format(col2,6) from t1 where col1=7;
drop table t1;


#
# Bug @10632 (Ceiling function returns wrong answer)
#
select ceil(0.09);
select ceil(0.000000000000000009);

#
# Bug #9837: problem with round()
#

create table t1 select round(1, 6);
show create table t1;
select * from t1;
drop table t1;

#
# Bug #11402: abs() forces rest of calculation to unsigned
#
select abs(-2) * -2;

#
# Bug #6172 RAND(a) should only accept constant values as arguments
#
CREATE TABLE t1 (a INT);

INSERT INTO t1 VALUES (1),(1),(1),(2);
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED) 
  FROM t1;
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED) 
  FROM t1 WHERE a = 1;
INSERT INTO t1 VALUES (3);
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED) 
  FROM t1;
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED) 
  FROM t1 WHERE a = 1;
PREPARE stmt FROM 
  "SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(?) * 1000 AS UNSIGNED)
    FROM t1 WHERE a = 1";
set @var=2;
EXECUTE stmt USING @var;

DROP TABLE t1;  

#
# Bug #14009: use of abs() on null value causes problems with filesort
#
# InnoDB is required to reproduce the fault, but it is okay if we default to
# MyISAM when testing.
--disable_warnings
create table t1 (a varchar(90), ts datetime not null, index (a)) engine=innodb default charset=utf8;
--enable_warnings
insert into t1 values ('http://www.foo.com/', now());
select a from t1 where a='http://www.foo.com/' order by abs(timediff(ts, 0));
drop table t1;

# End of 4.1 tests

#
# Bug #13820 (No warning on log(negative)
#
set sql_mode='traditional';
select ln(-1);
select log10(-1);
select log2(-1);
select log(2,-1);
select log(-2,1);
set sql_mode='';

#
# Bug #8461 truncate() and round() return false results 2nd argument negative.
# 
# round(a,-b) log_10(b) > a
select round(111,-10);
# round on bigint 
select round(-5000111000111000155,-1);
# round on unsigned bigint
select round(15000111000111000155,-1);
# truncate on bigint 
select truncate(-5000111000111000155,-1);
# truncate on unsigned bigint
select truncate(15000111000111000155,-1);

#
# Bug#16678 FORMAT gives wrong result if client run with default-character-set=utf8
#
set names utf8;
create table t1
(f1 varchar(32) not null,
 f2 smallint(5) unsigned not null,
 f3 int(10) unsigned not null default '0')
engine=myisam default charset=utf8;
insert into t1 values ('zombie',0,0),('gold',1,10000),('silver',2,10000);

create table t2
(f1 int(10) unsigned not null,
 f2 int(10) unsigned not null,
 f3 smallint(5) unsigned not null)
engine=myisam default charset=utf8;
insert into t2 values (16777216,16787215,1),(33554432,33564431,2);

select format(t2.f2-t2.f1+1,0) from t1,t2
where t1.f2 = t2.f3 order by t1.f1;
drop table t1, t2;
set names default;

# Bug 24912 -- misc functions have trouble with unsigned

select cast(-2 as unsigned), 18446744073709551614, -2;
select abs(cast(-2 as unsigned)), abs(18446744073709551614), abs(-2);
select ceiling(cast(-2 as unsigned)), ceiling(18446744073709551614), ceiling(-2);
select floor(cast(-2 as unsigned)), floor(18446744073709551614), floor(-2);
select format(cast(-2 as unsigned), 2), format(18446744073709551614, 2), format(-2, 2);
select sqrt(cast(-2 as unsigned)), sqrt(18446744073709551614), sqrt(-2);
select round(cast(-2 as unsigned), 1), round(18446744073709551614, 1), round(-2, 1);
select round(4, cast(-2 as unsigned)), round(4, 18446744073709551614), round(4, -2);
select truncate(cast(-2 as unsigned), 1), truncate(18446744073709551614, 1), truncate(-2, 1);
select truncate(4, cast(-2 as unsigned)), truncate(4, 18446744073709551614), truncate(4, -2);
select round(10000000000000000000, -19), truncate(10000000000000000000, -19);
select round(1e0, -309), truncate(1e0, -309);
select round(1e1,308), truncate(1e1, 308);
select round(1e1, 2147483648), truncate(1e1, 2147483648);
select round(1.1e1, 4294967295), truncate(1.1e1, 4294967295);
select round(1.12e1, 4294967296), truncate(1.12e1, 4294967296);
select round(1.5, 2147483640), truncate(1.5, 2147483640);
select round(1.5, -2147483649), round(1.5, 2147483648);
select truncate(1.5, -2147483649), truncate(1.5, 2147483648);
select round(1.5, -4294967296), round(1.5, 4294967296);
select truncate(1.5, -4294967296), truncate(1.5, 4294967296);
select round(1.5, -9223372036854775808), round(1.5, 9223372036854775808);
select truncate(1.5, -9223372036854775808), truncate(1.5, 9223372036854775808);
select round(1.5, 18446744073709551615), truncate(1.5, 18446744073709551615);
select round(18446744073709551614, -1), truncate(18446744073709551614, -1);
select round(4, -4294967200), truncate(4, -4294967200);
select mod(cast(-2 as unsigned), 3), mod(18446744073709551614, 3), mod(-2, 3);
select mod(5, cast(-2 as unsigned)), mod(5, 18446744073709551614), mod(5, -2);
select pow(cast(-2 as unsigned), 5), pow(18446744073709551614, 5), pow(-2, 5);

#
# Bug #30587: mysql crashes when trying to group by TIME div NUMBER
#

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;
SELECT DISTINCT a DIV 900 y FROM t1;
SELECT b DIV 900 y FROM t1 GROUP BY y;
SELECT c DIV 900 y FROM t1 GROUP BY y;
DROP TABLE t1;

CREATE TABLE t1(a LONGBLOB);
INSERT INTO t1 VALUES('1'),('2'),('3');
SELECT DISTINCT (a DIV 254576881) FROM t1;
SELECT (a DIV 254576881) FROM t1 UNION ALL 
  SELECT (a DIV 254576881) FROM t1;
DROP TABLE t1;

CREATE TABLE t1(a SET('a','b','c'));
INSERT INTO t1 VALUES ('a');
SELECT a DIV 2 FROM t1 UNION SELECT a DIV 2 FROM t1;
DROP TABLE t1;

#
# Bug #15936: "round" differs on Windows to Unix
#

CREATE TABLE t1 (a DOUBLE);

INSERT INTO t1 VALUES (-1.1), (1.1),
                      (-1.5), (1.5),
                      (-1.9), (1.9),
                      (-2.1), (2.1),
                      (-2.5), (2.5),
                      (-2.9), (2.9),
# Check numbers with absolute values > 2^53 - 1 
# (see comments for MAX_EXACT_INTEGER)
                      (-1e16 - 0.5), (1e16 + 0.5),
                      (-1e16 - 1.5), (1e16 + 1.5);

SELECT a, ROUND(a) FROM t1;

DROP TABLE t1;

#
# Bug#45152 crash with round() function on longtext column in a derived table
#
CREATE TABLE t1(f1 LONGTEXT) engine=myisam;
INSERT INTO t1 VALUES ('a');
SELECT 1 FROM (SELECT ROUND(f1) AS a FROM t1) AS s WHERE a LIKE 'a';
SELECT 1 FROM (SELECT ROUND(f1, f1) AS a FROM t1) AS s WHERE a LIKE 'a';
DROP TABLE t1;

--echo End of 5.0 tests

#
# Bug #31236: Inconsistent division by zero behavior for floating point numbers
#
# After the fix for bug #8433 we throw an error in the below test cases
# rather than just return a NULL value.

--error ER_DATA_OUT_OF_RANGE
SELECT 1e308 + 1e308;
--error ER_DATA_OUT_OF_RANGE
SELECT -1e308 - 1e308;
--error ER_DATA_OUT_OF_RANGE
SELECT 1e300 * 1e300;
--error ER_DATA_OUT_OF_RANGE
SELECT 1e300 / 1e-300;
--error ER_DATA_OUT_OF_RANGE
SELECT EXP(750);
--error ER_DATA_OUT_OF_RANGE
SELECT POW(10, 309);

--echo #
--echo # Bug #44768: SIGFPE crash when selecting rand from a view
--echo #             containing null
--echo #

CREATE OR REPLACE VIEW v1 AS SELECT NULL AS a;
SELECT RAND(a) FROM v1;
DROP VIEW v1;

SELECT RAND(a) FROM (SELECT NULL AS a) b;

CREATE TABLE t1 (i INT);
INSERT INTO t1 VALUES (NULL);
SELECT RAND(i) FROM t1;
DROP TABLE t1;

--echo #
--echo # Bug#57477 SIGFPE when dividing a huge number a negative number
--echo #
--error ER_DATA_OUT_OF_RANGE
SELECT -9999999999999999991 DIV -1;
--error ER_DATA_OUT_OF_RANGE
SELECT -9223372036854775808 DIV -1;
SELECT -9223372036854775808 MOD -1;
SELECT -9223372036854775808999 MOD -1;

#
# Bug #8457: Precision math:
#            DIV returns incorrect result with large decimal value
# Bug #46606:Casting error for large numbers in 5.4 when 'div' is used

--error ER_DATA_OUT_OF_RANGE
select 123456789012345678901234567890.123456789012345678901234567890 div 1 as x;
--error ER_DATA_OUT_OF_RANGE
select "123456789012345678901234567890.123456789012345678901234567890" div 1 as x; 
SHOW WARNINGS;

--echo #
--echo # Bug#57810 case/when/then : Assertion failed: length || !scale
--echo #

SELECT CASE(('')) WHEN (CONVERT(1, CHAR(1))) THEN (('' / 1)) END;
CREATE TABLE t1 SELECT CAST((CASE(('')) WHEN (CONVERT(1, CHAR(1))) THEN (('' / 1)) END) AS CHAR) as C;
SHOW CREATE TABLE t1;
DROP TABLE t1;

--echo #
--echo # Bug#11764994  57900: CREATE TABLE .. SELECT ASSERTS SCALE >= 0 && PRECISION > 0 && SCALE <= PR
--echo #

CREATE TABLE t1 SELECT CEIL(LINESTRINGFROMWKB(1) DIV NULL);
DROP TABLE t1;
CREATE TABLE t1 SELECT FLOOR(LINESTRINGFROMWKB(1) DIV NULL);
DROP TABLE t1;

--echo #
--echo # Bug#11765923  58937: MANY VALGRIND ERRORS AFTER GROUPING BY RESULT OF DECIMAL COLUMN FUNCTION
--echo #

CREATE TABLE t1(f1 DECIMAL(22,1));
INSERT INTO t1 VALUES (0),(1);
SELECT ROUND(f1, f1) FROM t1;
SELECT ROUND(f1, f1) FROM t1 GROUP BY 1;
DROP TABLE t1;

--echo #
--echo # Bug#11764671  57533: UNINITIALISED VALUES IN COPY_AND_CONVERT (SQL_STRING.CC) WITH CERTAIN CHA
--echo #

SELECT ROUND(LEAST(15, -4939092, 0.2704), STDDEV('a'));

--echo #
--echo # Bug#12392636  ASSERTION FAILED: SCALE >= 0 && PRECISION > 0 && SCALE <= PRECISION
--echo #

SELECT SUM(DISTINCT (TRUNCATE((.1), NULL)));

--echo End of 5.1 tests

--echo #
--echo # Bug #8433: Overflow must be an error
--echo #

# Floating point overflows
# ========================
--error ER_DATA_OUT_OF_RANGE
SELECT 1e308 + 1e308;
--error ER_DATA_OUT_OF_RANGE
SELECT -1e308 - 1e308;
--error ER_DATA_OUT_OF_RANGE
SELECT 1e300 * 1e300;
--error ER_DATA_OUT_OF_RANGE
SELECT 1e300 / 1e-300;
--error ER_DATA_OUT_OF_RANGE
SELECT EXP(750);
--error ER_DATA_OUT_OF_RANGE
SELECT POW(10, 309);
--error ER_DATA_OUT_OF_RANGE
SELECT COT(0);
--error ER_DATA_OUT_OF_RANGE
SELECT DEGREES(1e307);

# Integer overflows
# =================

--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775808 + 9223372036854775808;
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551615 + 1;
--error ER_DATA_OUT_OF_RANGE
SELECT 1 + 18446744073709551615;
--error ER_DATA_OUT_OF_RANGE
SELECT -2 + CAST(1 AS UNSIGNED);
--error ER_DATA_OUT_OF_RANGE
SELECT CAST(1 AS UNSIGNED) + -2;
--error ER_DATA_OUT_OF_RANGE
SELECT -9223372036854775808 + -9223372036854775808;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775807 + 9223372036854775807;

--error ER_DATA_OUT_OF_RANGE
SELECT CAST(0 AS UNSIGNED) - 9223372036854775809;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775808 - 9223372036854775809;
--error ER_DATA_OUT_OF_RANGE
SELECT CAST(1 AS UNSIGNED) - 2;
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551615 - (-1);
--error ER_DATA_OUT_OF_RANGE
SELECT -1 - 9223372036854775808;
--error ER_DATA_OUT_OF_RANGE
SELECT -1 - CAST(1 AS UNSIGNED);
--error ER_DATA_OUT_OF_RANGE
SELECT -9223372036854775808 - 1;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775807 - -9223372036854775808;

# To test SIGNED overflow when subtraction arguments are both UNSIGNED
set SQL_MODE='NO_UNSIGNED_SUBTRACTION';
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551615 - 1;
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551615 - CAST(1 AS UNSIGNED);
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551614 - (-1);
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775807 - -1;
set SQL_MODE=default;

--error ER_DATA_OUT_OF_RANGE
SELECT 4294967296 * 4294967296;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775808 * 2;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775808 * 2;
# The following one triggers condition #3 from the comments in
# Item_func_mul::int_op()
--error ER_DATA_OUT_OF_RANGE
SELECT 7158278827 * 3221225472;
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775807 * (-2);
--error ER_DATA_OUT_OF_RANGE
SELECT CAST(1 as UNSIGNED) * (-1);
--error ER_DATA_OUT_OF_RANGE
SELECT 9223372036854775807 * 2;

--error ER_DATA_OUT_OF_RANGE
SELECT ABS(-9223372036854775808);

--error ER_DATA_OUT_OF_RANGE
SELECT -9223372036854775808 DIV -1;
--error ER_DATA_OUT_OF_RANGE
SELECT 18446744073709551615 DIV -1;


# Have to create a table because the negation op may convert literals to DECIMAL
CREATE TABLE t1(a BIGINT, b BIGINT UNSIGNED);
INSERT INTO t1 VALUES(-9223372036854775808, 9223372036854775809);

--error ER_DATA_OUT_OF_RANGE
SELECT -a FROM t1;
--error ER_DATA_OUT_OF_RANGE
SELECT -b FROM t1;

DROP TABLE t1;

# Decimal overflows
# =================

SET @a:=999999999999999999999999999999999999999999999999999999999999999999999999999999999;
--error ER_DATA_OUT_OF_RANGE
SELECT @a + @a;
--error ER_DATA_OUT_OF_RANGE
SELECT @a * @a;
--error ER_DATA_OUT_OF_RANGE
SELECT -@a - @a;
--error ER_DATA_OUT_OF_RANGE
SELECT @a / 0.5;

# Non-overflow tests to improve code coverage
# ===========================================
SELECT COT(1/0);
SELECT -1 + 9223372036854775808;
SELECT 2 DIV -2;
SELECT -(1 DIV 0);
# Crashed the server with SIGFPE before the bugfix
SELECT -9223372036854775808 MOD -1;

--echo #
--echo # Bug #57209 valgrind + Assertion failed: dst > buf 
--echo #
SELECT floor(log10(format(concat_ws(5445796E25, 5306463, 30837), -358821)))
as foo;

--echo #
--echo # Bug #58137 char(0) column cause:
--echo #            my_gcvt: Assertion `width > 0 && to != ((void *)0)' failed
--echo #
CREATE TABLE t1(a char(0));
INSERT INTO t1 (SELECT -pi());
DROP TABLE t1;

--echo #
--echo # Bug #59241 invalid memory read
--echo #            in do_div_mod with doubly assigned variables
--echo #
SELECT ((@a:=@b:=1.0) div (@b:=@a:=get_format(datetime, 'usa')));

--echo #
--echo # Bug #59498 div function broken in mysql-trunk
--echo #
SELECT 1 div null;

--echo #
--echo # Bug #11792200 - DIVIDING LARGE NUMBERS CAUSES STACK CORRUPTIONS
--echo #
select (1.175494351E-37 div 1.7976931348623157E+308);

--echo #
--echo # Bug#12537160 ASSERTION FAILED:
--echo # STOP0 <= &TO->BUF[TO->LEN] WITH LARGE NUMBER.
--echo #

let $nine_81=
999999999999999999999999999999999999999999999999999999999999999999999999999999999;

eval select $nine_81 % 0.1 as foo;
eval select $nine_81 % 0.0 as foo;

--echo #
--echo # Bug#12711164 - 61676:
--echo # RESULT OF DIV WITH DECIMAL AND INTEGER DOES NOT MAKE SENSE 
--echo #

select 5 div 2;
select 5.0 div 2.0;
select 5.0 div 2;
select 5 div 2.0;
select 5.9 div 2, 1.23456789e3 DIV 2, 1.23456789e9 DIV 2, 1.23456789e19 DIV 2;