Mathematical functions

Learn how to use and combine different mathematical functions in APL.

The table summarizes the mathematical functions available in APL.

Name	Description
abs	Calculates the absolute value of the input.
acos	Returns the angle whose cosine is the specified number (the inverse operation of cos()).
asin	Returns the angle whose sine is the specified number (the inverse operation of sin()).
atan	Returns the angle whose tangent is the specified number (the inverse operation of tan()).
atan2	Calculates the angle, in radians, between the positive x-axis and the ray from the origin to the point (y, x).
cos	Returns the cosine function.
cot	Returns the cotangent function.
degrees	Converts angle value in radians into value in degrees.
exp	The base-e exponential function of x: e^x.
exp10	The base-10 exponential function of x: 10^x.
exp2	The base-2 exponential function of x: 2^x.
gamma	Computes the gamma function.
isfinite	Returns whether input is a finite value (neither infinite nor NaN).
isinf	Returns whether input is an infinite (positive or negative) value.
isint	Returns whether input is an integer (positive or negative) value.
isnan	Returns whether input is a Not a Number (NaN) value.
log	Returns the natural logarithm function.
log10	Returns the common (base-10) logarithm function.
log2	Returns the base-2 logarithm function.
loggamma	Computes log of absolute value of the gamma function.
max_of	Returns the largest of the provided values.
min_of	Returns the smallest of the provided values.
not	Reverses the value of its bool argument.
pi	Returns the constant value of Pi (π).
pow	Returns a result of raising to power.
radians	Converts angle value in degrees into value in radians.
rand	Returns pseudo-random numbers.
range	Returns a dynamic array of evenly spaced values.
round	Returns the rounded source to the specified precision.
set_difference	Returns the difference between two arrays.
set_has_element	Determines if a set contains a specific value.
set_intersect	Returns the intersection of two arrays.
set_union	Returns the union of two arrays.
sign	Sign of a numeric expression.
sin	Returns the sine function.
sqrt	Returns the square root function.
tan	Returns the tangent function.