Function

Description

Parameters

add

Adds two numbers together

firstNumber: The first addendsecondNumber: The second addend

subtract

Subtracts the second number from the first number

minuend: The number to subtract from (minuend)subtrahend: The number being subtracted (subtrahend)

multiply

Multiplies two numbers together

firstNumber: The first numbersecondNumber: The second number

division

Divides the first number by the second number

numerator: The number being divided (numerator)denominator: The number to divide by (denominator)

sum

Adds any number of numbers together

numbers: Array of numbers to sum

modulo

Divides two numbers and returns the remainder

numerator: The number being divided (numerator)denominator: The number to divide by (denominator)

floor

Rounds a number down to the nearest integer

number: The number to round down

ceiling

Rounds a number up to the nearest integer

number: The number to round up

round

Rounds a number to the nearest integer

number: The number to round

Function

Description

Parameters

mean

Calculates the arithmetic mean of a list of numbers

numbers: Array of numbers to find the mean of

median

Calculates the median of a list of numbers

numbers: Array of numbers to find the median of

mode

Finds the most common number in a list of numbers

numbers: Array of numbers to find the mode of

min

Finds the minimum value from a list of numbers

numbers: Array of numbers to find the minimum of

max

Finds the maximum value from a list of numbers

numbers: Array of numbers to find the maximum of

variance

Calculates population or sample variance

numbers: Valuessample: Optional; use true for n-1

standard_deviation

Calculates population or sample standard deviation

numbers: Valuessample: Optional; use true for n-1

percentile

Calculates an inclusive R-7/Excel-style percentile

numbers: Valuespercentile: 0 through 100

correlation

Calculates Pearson correlation for paired observations

firstValues: First seriessecondValues: Second series

linear_regression

Fits y = slope*x + intercept and returns R-squared

xValues: X seriesyValues: Y series

Function

Description

Parameters

greatest_common_divisor

Finds the GCD of two safe integers

first, second: Integers

least_common_multiple

Finds the exact LCM as a decimal string

first, second: Integers

is_prime

Tests a safe integer for primality

value: Non-negative integer

prime_factors

Finds prime factors up to 1,000,000,000,000

value: Integer

factorial

Calculates n! exactly through 1000!

value: Integer

combinations

Calculates n choose r exactly

total: nselected: r

permutations

Calculates nPr exactly

total: nselected: r

simplify_fraction

Reduces an arbitrary-size integer fraction exactly

numerator, denominator: Decimal integer strings

fraction_arithmetic

Adds, subtracts, multiplies, or divides fractions exactly

operation; two numerator/denominator pairs as strings

Function

Description

Parameters

percentage_of

Calculates a percentage of a value

valuepercentage: Use 15 for 15%

percentage_change

Calculates percent increase or decrease

originalValuenewValue

round_to

Rounds to a requested number of decimal places

valuedecimalPlaces: 0 through 15

compound_interest

Calculates compound growth and optional end-of-period contributions

principal, annualRatePercent, years, compoundsPerYear, optional contributionPerPeriod

loan_payment

Calculates fixed-rate payment, total paid, and total interest

principal, annualRatePercent, years, paymentsPerYear

Function

Description

Parameters

solve_quadratic

Solves a*x^2 + b*x + c = 0, including complex roots

a, b, c

solve_linear_system_2x2

Solves or classifies two linear equations

Coefficients a1, b1, c1, a2, b2, c2

Function

Description

quaternion_from_euler

Converts Euler radians and an explicit rotation order to a quaternion

compose_transform_4x4

Builds a translation * rotation * scale matrix

multiply_matrices_4x4

Multiplies two matrices as first * second

transform_point_3d

Applies a matrix to a 3D point with homogeneous w=1

bone_local_to_world

Combines one bone's local transform with its parent world matrix

bone_hierarchy_to_world

Resolves named parent/child local transforms into world-space bones

look_at_view_matrix

Creates a right- or left-handed world-to-view camera matrix

perspective_projection_matrix

Creates a projection matrix with selectable handedness and clip-depth range

world_to_view

Applies the view matrix to a world-space point

view_to_clip

Applies the projection matrix to produce a 4D clip-space point

clip_to_ndc

Performs perspective division: (x/w, y/w, z/w)

ndc_to_screen

Scales NDC to a requested pixel width and height

world_to_screen

Runs projection with a combined projection * view matrix and reports visibility

project_bone_points

Batch-projects named world-space bone positions to 2D screen coordinates

Function

Description

Parameters

bayes_theorem

Calculates `P(H

E) = P(E

bayes_update_hypotheses

Normalizes likelihood-weighted priors across hypotheses

Array of hypothesis labels, priors, and likelihoods

Function

Description

Parameters

sin

Calculates the sine of a number in radians

number: The number in radians to find the sine of

arcsin

Calculates the arcsine (in radians) of a number

number: The number to find the arcsine of

cos

Calculates the cosine of a number in radians

number: The number in radians to find the cosine of

arccos

Calculates the arccosine (in radians) of a number

number: The number to find the arccosine of

tan

Calculates the tangent of a number in radians

number: The number in radians to find the tangent of

arctan

Calculates the arctangent (in radians) of a number

number: The number to find the arctangent of

radiansToDegrees

Converts a radian value to its equivalent in degrees

number: The number in radians to convert to degrees

degreesToRadians

Converts a degree value to its equivalent in radians

number: The number in degrees to convert to radians