# name: test/sql/function/numeric/test_trigo.test
# description: Test trigonometric function
# group: [numeric]

statement ok
SET default_null_order='nulls_first';

statement ok
CREATE TABLE numbers(n DOUBLE)

statement ok
INSERT INTO numbers VALUES (-42),(-1),(0), (1), (42), (NULL)

query I
SELECT cast(SIN(n::tinyint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(SIN(n::smallint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(SIN(n::integer)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(SIN(n::bigint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(SIN(n::float)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(SIN(n::double)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
917
-841
0
841
-917

query I
SELECT cast(COS(n::tinyint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(COS(n::smallint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(COS(n::integer)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(COS(n::bigint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(COS(n::float)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(COS(n::double)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-400
540
1000
540
-400

query I
SELECT cast(TAN(n::tinyint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(TAN(n::smallint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(TAN(n::integer)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(TAN(n::bigint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(TAN(n::float)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(TAN(n::double)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-2291
-1557
0
1557
2291

query I
SELECT cast(ATAN(n::tinyint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ATAN(n::smallint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ATAN(n::integer)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ATAN(n::bigint)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ATAN(n::float)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ATAN(n::double)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-1547
-785
0
785
1547

query I
SELECT cast(ASIN(n::tinyint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ASIN(n::smallint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ASIN(n::integer)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ASIN(n::bigint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ASIN(n::float)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ASIN(n::double)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
-1571
0
1571

query I
SELECT cast(ACOS(n::tinyint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

query I
SELECT cast(ACOS(n::smallint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

query I
SELECT cast(ACOS(n::integer)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

query I
SELECT cast(ACOS(n::bigint)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

query I
SELECT cast(ACOS(n::float)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

query I
SELECT cast(ACOS(n::double)*1000 as bigint) FROM numbers  WHERE n between -1 and 1 ORDER BY n
----
3142
1571
0

statement error
SELECT cast(ASIN(n)*1000 as bigint) FROM numbers ORDER BY n
----

query I
SELECT cast(COT(n::tinyint)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(COT(n::smallint)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(COT(n::integer)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(COT(n::bigint)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(COT(n::float)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(COT(n::double)*1000 as bigint) FROM numbers  WHERE n > 0.1 OR N < -0.1 ORDER BY n
----
-436
-642
642
436

query I
SELECT cast(ATAN2(n::tinyint, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

query I
SELECT cast(ATAN2(n::smallint, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

query I
SELECT cast(ATAN2(n::integer, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

query I
SELECT cast(ATAN2(n::bigint, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

query I
SELECT cast(ATAN2(n::float, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

query I
SELECT cast(ATAN2(n::double, 42)*1000 as bigint) FROM numbers ORDER BY n
----
NULL
-785
-24
0
24
785

statement error
select asin(-2);
----
Invalid Input Error: ASIN is undefined outside [-1,1]

statement error
select acos(-2);
----
Invalid Input Error: ACOS is undefined outside [-1,1]


# Hyperbolic trigo functions

# ATANH
foreach value 1.1 -1.1

statement error
select atanh(${value});
----
Invalid Input Error: ATANH is undefined outside [-1,1]

endloop

query II
select atanh(1), atanh(-1);
----
inf	inf

query III
select atanh(-0.5), atanh(0), atanh(0.5);
----
-0.5493061443340549	0.0	0.5493061443340549

# ACOSH
query IIII
select acosh(-1), acosh(0), acosh(1), acosh(2);
----
NaN	NaN	0.0	1.3169578969248166

# ASINH
query III
select asinh(-1), asinh(0), asinh(2);
----
-0.881373587019543	0.0	1.4436354751788103

# TANH
query IIII
select tanh(-0.5), tanh(0), tanh(0.5), tanh(1000);
----
-0.46211715726000974	0.0	0.46211715726000974	1.0

# COSH
query IIII
select cosh(-1), cosh(0), cosh(1), cosh(1000);
----
1.5430806348152437	1.0	1.5430806348152437	inf

# SINH
query IIII
select sinh(-1), sinh(0), sinh(1), sinh(1000);
----
-1.1752011936438014	0.0	1.1752011936438014	inf