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#
# 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);
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);

#
# 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 #10083 (round doesn't increase decimals)
#
select round(150, 2);

#
# 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 (i int);
insert into t1 values (1);
--error 1210
select rand(i) from t1;
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;