Mathematical functions

All mathematical functions have the following behaviors:

They return NULL if any of the input parameters is NULL.
They return NaN if any of the arguments is NaN.

ABS

ABS(X)

Description

Computes absolute value. Returns an error if the argument is an integer and the output value cannot be represented as the same type; this happens only for the largest negative input value, which has no positive representation.

X	ABS(X)
25	25
-25	25
`+inf`	`+inf`
`-inf`	`+inf`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE

SIGN

SIGN(X)

Description

Returns -1, 0, or +1 for negative, zero and positive arguments respectively. For floating point arguments, this function does not distinguish between positive and negative zero.

X	SIGN(X)
25	+1
0	0
-25	-1
NaN	NaN

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE

IS_INF

IS_INF(X)

Description

Returns TRUE if the value is positive or negative infinity.

X	IS_INF(X)
`+inf`	`TRUE`
`-inf`	`TRUE`
25	`FALSE`

IS_NAN

IS_NAN(X)

Description

Returns TRUE if the value is a NaN value.

X	IS_NAN(X)
`NaN`	`TRUE`
25	`FALSE`

IEEE_DIVIDE

IEEE_DIVIDE(X, Y)

Description

Divides X by Y; this function never fails. Returns DOUBLE unless both X and Y are FLOAT, in which case it returns FLOAT. Unlike the division operator (/), this function does not generate errors for division by zero or overflow.

X	Y	IEEE_DIVIDE(X, Y)
20.0	4.0	5.0
0.0	25.0	0.0
25.0	0.0	`+inf`
-25.0	0.0	`-inf`
0.0	0.0	`NaN`
0.0	`NaN`	`NaN`
`NaN`	0.0	`NaN`
`+inf`	`+inf`	`NaN`
`-inf`	`-inf`	`NaN`

RAND

RAND()

Description

Generates a pseudo-random value of type DOUBLE in the range of [0, 1), inclusive of 0 and exclusive of 1.

SQRT

SQRT(X)

Description

Computes the square root of X. Generates an error if X is less than 0.

X	SQRT(X)
`25.0`	`5.0`
`+inf`	`+inf`
`X < 0`	Error

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

POW

POW(X, Y)

Description

Returns the value of X raised to the power of Y. If the result underflows and is not representable, then the function returns a value of zero.

X	Y	POW(X, Y)
2.0	3.0	8.0
1.0	Any value including `NaN`	1.0
Any value including `NaN`	0	1.0
-1.0	`+inf`	1.0
-1.0	`-inf`	1.0
ABS(X) < 1	`-inf`	`+inf`
ABS(X) > 1	`-inf`	0.0
ABS(X) < 1	`+inf`	0.0
ABS(X) > 1	`+inf`	`+inf`
`-inf`	Y < 0	0.0
`-inf`	Y > 0	`-inf` if Y is an odd integer, `+inf` otherwise
`+inf`	Y < 0	0
`+inf`	Y > 0	`+inf`
Finite value < 0	Non-integer	Error
0	Finite value < 0	Error

Return Data Type

The return data type is determined by the argument types with the following table.

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

POWER

POWER(X, Y)

Description

Synonym of POW(X, Y).

EXP

EXP(X)

Description

Computes e to the power of X, also called the natural exponential function. If the result underflows, this function returns a zero. Generates an error if the result overflows.

X	EXP(X)
0.0	1.0
`+inf`	`+inf`
`-inf`	0.0

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

LN

LN(X)

Description

Computes the natural logarithm of X. Generates an error if X is less than or equal to zero.

X	LN(X)
1.0	0.0
`+inf`	`+inf`
`X < 0`	Error

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

LOG

LOG(X [, Y])

Description

If only X is present, LOG is a synonym of LN. If Y is also present, LOG computes the logarithm of X to base Y.

X	Y	LOG(X, Y)
100.0	10.0	2.0
`-inf`	Any value	`NaN`
Any value	`+inf`	`NaN`
`+inf`	0.0 < Y < 1.0	`-inf`
`+inf`	Y > 1.0	`+inf`
X <= 0	Any value	Error
Any value	Y <= 0	Error
Any value	1.0	Error

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

LOG10

LOG10(X)

Description

Similar to LOG, but computes logarithm to base 10.

X	LOG10(X)
100.0	2.0
`-inf`	`NaN`
`+inf`	`NaN`
X <= 0	Error

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

GREATEST

GREATEST(X1,...,XN)

Description

Returns the largest value among X1,...,XN according to the < comparison. If any parts of X1,...,XN are NULL, the return value is NULL.

X1,...,XN	GREATEST(X1,...,XN)
3,5,1	5

Return Data Types

Data type of the input values.

LEAST

LEAST(X1,...,XN)

Description

Returns the smallest value among X1,...,XN according to the > comparison. If any parts of X1,...,XN are NULL, the return value is NULL.

X1,...,XN	LEAST(X1,...,XN)
3,5,1	1

Return Data Types

Data type of the input values.

DIV

DIV(X, Y)

Description

Returns the result of integer division of X by Y. Division by zero returns an error. Division by -1 may overflow.

X	Y	DIV(X, Y)
20	4	5
0	20	0
20	0	Error

Return Data Type

The return data type is determined by the argument types with the following table.

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC
INT32	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC
INT64	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC
UINT32	INT64	INT64	UINT64	UINT64	NUMERIC	BIGNUMERIC
UINT64	ERROR	ERROR	UINT64	UINT64	NUMERIC	BIGNUMERIC
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC

SAFE_DIVIDE

SAFE_DIVIDE(X, Y)

Description

Equivalent to the division operator (X / Y), but returns NULL if an error occurs, such as a division by zero error.

X	Y	SAFE_DIVIDE(X, Y)
20	4	5
0	20	`0`
20	0	`NULL`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

SAFE_MULTIPLY

SAFE_MULTIPLY(X, Y)

Description

Equivalent to the multiplication operator (*), but returns NULL if overflow occurs.

X	Y	SAFE_MULTIPLY(X, Y)
20	4	80

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	INT64	INT64	UINT64	UINT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	ERROR	ERROR	UINT64	UINT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

SAFE_NEGATE

SAFE_NEGATE(X)

Description

Equivalent to the unary minus operator (-), but returns NULL if overflow occurs.

X	SAFE_NEGATE(X)
+1	-1
-1	+1
0	0

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	INT32	INT64	ERROR	ERROR	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE

SAFE_ADD

SAFE_ADD(X, Y)

Description

Equivalent to the addition operator (+), but returns NULL if overflow occurs.

X	Y	SAFE_ADD(X, Y)
5	4	9

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	INT64	INT64	UINT64	UINT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	ERROR	ERROR	UINT64	UINT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

SAFE_SUBTRACT

SAFE_SUBTRACT(X, Y)

Description

Returns the result of Y subtracted from X. Equivalent to the subtraction operator (-), but returns NULL if overflow occurs.

X	Y	SAFE_SUBTRACT(X, Y)
5	4	1

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
INT32	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
INT64	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT32	INT64	INT64	INT64	INT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
UINT64	ERROR	ERROR	INT64	INT64	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	DOUBLE	DOUBLE
FLOAT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE
DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE	DOUBLE

MOD

MOD(X, Y)

Description

Modulo function: returns the remainder of the division of X by Y. Returned value has the same sign as X. An error is generated if Y is 0.

X	Y	MOD(X, Y)
25	12	1
25	0	Error

Return Data Type

The return data type is determined by the argument types with the following table.

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC
INT32	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC
INT64	INT64	INT64	INT64	ERROR	NUMERIC	BIGNUMERIC
UINT32	INT64	INT64	UINT64	UINT64	NUMERIC	BIGNUMERIC
UINT64	ERROR	ERROR	UINT64	UINT64	NUMERIC	BIGNUMERIC
NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	NUMERIC	BIGNUMERIC
BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC	BIGNUMERIC

ROUND

ROUND(X [, N])

Description

If only X is present, ROUND rounds X to the nearest integer. If N is present, ROUND rounds X to N decimal places after the decimal point. If N is negative, ROUND will round off digits to the left of the decimal point. Rounds halfway cases away from zero. Generates an error if overflow occurs.

X	ROUND(X)
2.0	2.0
2.3	2.0
2.8	3.0
2.5	3.0
-2.3	-2.0
-2.8	-3.0
-2.5	-3.0
0	0
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

TRUNC

TRUNC(X [, N])

Description

If only X is present, TRUNC rounds X to the nearest integer whose absolute value is not greater than the absolute value of X. If N is also present, TRUNC behaves like ROUND(X, N), but always rounds towards zero and never overflows.

X	TRUNC(X)
2.0	2.0
2.3	2.0
2.8	2.0
2.5	2.0
-2.3	-2.0
-2.8	-2.0
-2.5	-2.0
0	0
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

CEIL

CEIL(X)

Description

Returns the smallest integral value that is not less than X.

X	CEIL(X)
2.0	2.0
2.3	3.0
2.8	3.0
2.5	3.0
-2.3	-2.0
-2.8	-2.0
-2.5	-2.0
0	0
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

CEILING

CEILING(X)

Description

Synonym of CEIL(X)

FLOOR

FLOOR(X)

Description

Returns the largest integral value that is not greater than X.

X	FLOOR(X)
2.0	2.0
2.3	2.0
2.8	2.0
2.5	2.0
-2.3	-3.0
-2.8	-3.0
-2.5	-3.0
0	0
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

Return Data Type

INPUT	INT32	INT64	UINT32	UINT64	NUMERIC	BIGNUMERIC	FLOAT	DOUBLE
OUTPUT	DOUBLE	DOUBLE	DOUBLE	DOUBLE	NUMERIC	BIGNUMERIC	DOUBLE	DOUBLE

COS

COS(X)

Description

Computes the cosine of X where X is specified in radians. Never fails.

X	COS(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`

COSH

COSH(X)

Description

Computes the hyperbolic cosine of X where X is specified in radians. Generates an error if overflow occurs.

X	COSH(X)
`+inf`	`+inf`
`-inf`	`+inf`
`NaN`	`NaN`

ACOS

ACOS(X)

Description

Computes the principal value of the inverse cosine of X. The return value is in the range [0,π]. Generates an error if X is a value outside of the range [-1, 1].

X	ACOS(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`
X < -1	Error
X > 1	Error

ACOSH

ACOSH(X)

Description

Computes the inverse hyperbolic cosine of X. Generates an error if X is a value less than 1.

X	ACOSH(X)
`+inf`	`+inf`
`-inf`	`NaN`
`NaN`	`NaN`
X < 1	Error

SIN

SIN(X)

Description

Computes the sine of X where X is specified in radians. Never fails.

X	SIN(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`

SINH

SINH(X)

Description

Computes the hyperbolic sine of X where X is specified in radians. Generates an error if overflow occurs.

X	SINH(X)
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

ASIN

ASIN(X)

Description

Computes the principal value of the inverse sine of X. The return value is in the range [-π/2,π/2]. Generates an error if X is outside of the range [-1, 1].

X	ASIN(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`
X < -1	Error
X > 1	Error

ASINH

ASINH(X)

Description

Computes the inverse hyperbolic sine of X. Does not fail.

X	ASINH(X)
`+inf`	`+inf`
`-inf`	`-inf`
`NaN`	`NaN`

TAN

TAN(X)

Description

Computes the tangent of X where X is specified in radians. Generates an error if overflow occurs.

X	TAN(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`

TANH

TANH(X)

Description

Computes the hyperbolic tangent of X where X is specified in radians. Does not fail.

X	TANH(X)
`+inf`	1.0
`-inf`	-1.0
`NaN`	`NaN`

ATAN

ATAN(X)

Description

Computes the principal value of the inverse tangent of X. The return value is in the range [-π/2,π/2]. Does not fail.

X	ATAN(X)
`+inf`	π/2
`-inf`	-π/2
`NaN`	`NaN`

ATANH

ATANH(X)

Description

Computes the inverse hyperbolic tangent of X. Generates an error if X is outside of the range [-1, 1].

X	ATANH(X)
`+inf`	`NaN`
`-inf`	`NaN`
`NaN`	`NaN`
X < -1	Error
X > 1	Error

ATAN2

ATAN2(X, Y)

Description

Calculates the principal value of the inverse tangent of X/Y using the signs of the two arguments to determine the quadrant. The return value is in the range [-π,π].

X	Y	ATAN2(X, Y)
`NaN`	Any value	`NaN`
Any value	`NaN`	`NaN`
0.0	0.0	0.0
Positive Finite value	`-inf`	π
Negative Finite value	`-inf`	-π
Finite value	`+inf`	0.0
`+inf`	Finite value	π/2
`-inf`	Finite value	-π/2
`+inf`	`-inf`	¾π
`-inf`	`-inf`	-¾π
`+inf`	`+inf`	π/4
`-inf`	`+inf`	-π/4

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Mathematical functions

ABS

SIGN

IS_INF

IS_NAN

IEEE_DIVIDE

RAND

SQRT

POW

POWER

EXP

LN

LOG

LOG10

GREATEST

LEAST

DIV

SAFE_DIVIDE

SAFE_MULTIPLY

SAFE_NEGATE

SAFE_ADD

SAFE_SUBTRACT

MOD

ROUND

TRUNC

CEIL

CEILING

FLOOR

COS

COSH

ACOS

ACOSH

SIN

SINH

ASIN

ASINH

TAN

TANH

ATAN

ATANH

ATAN2