mzMath - a collection of TypeScript-based math helpers 🚀

This project is a collection of TypeScript math helpers and utilities for the browser and Node.js. The modular approach allows to select only the required functions. It works well with all modern bundlers and supports tree shaking 🌲. The library is built using immutable/pure functions.

Documentation 🔖

Main

• Typescript Usage
• Browser Usage
• Node.js Usage

Vectors

• Vectors
• Vectors Sum
• Vectors Subtraction
• Multiply by Scalar
• Divide by Scalar
• Vector Length
• Normalized (Unit) Vector
• Dot Product
• Cross Product
• Distance Between Vectors
• Vector Initialization
• Vectors Equality
• Get Normal

Matrix

• Matrix
• Matrix Sum
• Matrix Subtraction
• Multiply By Scalar
• Divide By Scalar
• Matrix Transposition
• Matrix Multiplication
• Multiply Matrix By Vector
• Matrix Determinant
• Inverse Matrix
• Matrix Singularity
• Adjugate Matrix
• Get Matrix Minor

Matrix Manipulation

• Matrix Initialization
• Matrix Equality
• Matrix Deep Copy
• Append Or Prepend Row
• Append Or Prepend Column
• Remove Row Or Column
• Get Column
• Reset Matrix

Transformation Matrices

• Translation Matrix
• Rotation Matrix
• Rotate Around Point
• Scale And Stretch Matrix
• Scale Around Point
• Reflection Matrix
• Shearing Matrix
• Matrix To Css Transform

Angles

• Vector Angle
• Angle Between Vectors
• Degrees And Radians
• Angles Distance
• Is Angle Between
• Is Clockwise
• Percent To Angle

Random

• Get Random Number In Range
• Get Random Integer
• Get Random Boolean
• Get Random Item From Array
• Random Id Or Guid

Bezier Curve

• Get Point On Quadratic Bezier Curve
• Get Point On Cubic Bezier Curve
• Tangent
• Normal
• Extrema
• Bounding Box

Equations

• Linear Equation
• System Of Linear Equations
• Quadratic Equation
• Get Linear Equation By 2 Points

Path Movement

• Circle Movement
• Ellipse Movement
• Sine Wave Movement
• Lissajous Curve

Color

• Color
• Random Color
• Convert Colors
• Shift Colors
• Similar Colors

Linear Interpolation

• Lerp
• General Case

Derivatives

• Polynomial
• Trigonometric Functions
• Bezier Curves

Collision Detection

• Rectangles Collision
• Circles Collision
• Convex Polygons Collision

Animation

• Animation
• Get Animation Data

Circle And Ellipse

• Circumference
• Is Angle In Circle Arc

Sequence

• Natural Numbers Sequence Sum
• Arithmetic Sequence Sum

Combinatorics

• Factorial
• Combinatorics

Other

• Set Decimal Places
• Convert String To Number
• Square In Circle
• Modulo
• Convert Range
• Check If Ranges Overlap
• Check If Value Is Number
• Polar To Cartesian
• Temperature Conversion
• Series

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