Adds two numbers together

Subtracts the second number from the first number

Multiplies two numbers together

Divides the first number by the second number

Adds any number of numbers together

Divides two numbers and returns the remainder

Calculates the arithmetic mean of a list of numbers

Calculates the median of a list of numbers

Finds the most common number in a list of numbers

Finds the minimum value from a list of numbers

Finds the maximum value from a list of numbers

Rounds a number down to the nearest integer

Rounds a number up to the nearest integer

Rounds a number to the nearest integer

Calculates the sine of a number in radians

Calculates the arcsine (in radians) of a number

Calculates the cosine of a number in radians

Calculates the arccosine (in radians) of a number

Calculates the tangent of a number in radians

Calculates the arctangent (in radians) of a number

Converts a radian value to its equivalent in degrees

Converts a degree value to its equivalent in radians

Calculates a percentage of a value, such as 15% of 240

Calculates the percentage increase or decrease from an original value to a new value

Rounds a number to a specified count of decimal places

Calculates compound growth with optional equal contributions made at the end of every compounding period

Calculates the payment and total interest for a standard fixed-rate amortizing loan

Finds the greatest common divisor (GCD) of two safe integers

Finds the exact least common multiple (LCM) of two safe integers; returns a decimal string

Determines whether a non-negative safe integer is prime

Returns the prime factorization of an integer from 2 through 1,000,000,000,000

Calculates n! exactly for an integer from 0 through 1000; returns a decimal string

Calculates n choose r exactly when order does not matter; returns a decimal string

Calculates ordered selections nPr exactly; returns a decimal string

Reduces a fraction exactly using integer strings, preserving values larger than JSON's safe integer range

Adds, subtracts, multiplies, or divides two fractions exactly and returns the reduced result

Calculates population or sample variance with a numerically stable algorithm

Calculates population or sample standard deviation with a numerically stable algorithm

Calculates a percentile using sorted linear interpolation (R-7 / Excel PERCENTILE.INC method)

Calculates the Pearson correlation coefficient for paired numeric observations

Fits the least-squares line y = slope*x + intercept and returns slope, intercept, and R-squared

Solves ax^2 + bx + c = 0 and returns real or complex roots

Solves a1x + b1y = c1 and a2x + b2y = c2, including no-solution and infinite-solution cases

Converts Euler rotations in radians to a normalized quaternion; order states the rotations applied first-to-last

Builds a row-major 4x4 TRS transform from position, quaternion rotation, and scale for column vectors

Multiplies two row-major 4x4 matrices and returns first * second, for column-vector transforms

Transforms a 3D position by a row-major 4x4 matrix using homogeneous w=1 and returns x,y,z,w

Combines a parent bone world matrix with a child local position, quaternion rotation, and scale

Resolves a complete bone hierarchy from local transforms to world matrices and world positions; detects missing parents and cycles

Creates a row-major look-at world-to-view matrix for a right- or left-handed coordinate system

Creates a perspective view-to-clip matrix with explicit handedness and NDC depth range

Transforms one world-space 3D position into view space with a supplied row-major view matrix

Transforms one homogeneous view-space position into 4D clip space with a supplied projection matrix

Performs the 4D clip-space perspective divide x/w, y/w, z/w to normalized device coordinates

Scales normalized device coordinates to a 2D screen resolution

Projects one world-space 3D point through a combined projection*view matrix to 2D pixels with visibility and behind-camera flags

Batch-projects named bone or joint world positions to 2D pixels using a combined projection*view matrix

Calculates P(hypothesis|evidence) = P(evidence|hypothesis) * P(hypothesis) / P(evidence)

Normalizes priors and evidence likelihoods into posterior probabilities for mutually exclusive, exhaustive hypotheses