Expanded Math Functionality for Unity.

This package can be installed through the Unity Package Manager with Unity version 2019.3 or greater.

Open up the package manager Window/Package Manager and click on Add package from git URL....

Paste in this repository's url.

https://github.com/Jason-Skillman/Mathfs.git

Click Add and the package will be installed in your project.

NOTE: For Unity version 2019.2 or lower

If you are using Unity 2019.2 or lower than you will not be able to install the package with the above method. Here are a few other ways to install the package.

1. You can clone this git repository into your project's Packages folder.
2. Another alternative would be to download this package from GitHub as a zip file. Unzip and in the Package Manager click on Add package from disk... and select the package's root folder.

Alternatively you can also install this package as a git submodule.

$ git submodule add https://github.com/Jason-Skillman/Mathfs.git Packages/Singleton-Behavior

• Intersection tests
  • Ray/Ray
  • Ray/LineSegment
  • Ray/Line
  • Ray/Circle
  • LineSegment/LineSegment
  • LineSegment/Line
  • LineSegment/Circle
  • Line/Line
  • Line/Circle
  • Circle/Circle
• Trajectory math
  • GetDisplacement (point in trajectory), given gravity, angle, speed & time
  • GetLaunchSpeed, given gravity, angle & lateral distance
  • GetLaunchAngles, given gravity, speed & lateral distance
  • GetMaxRange, given gravity & speed
  • GetHeightPotential, given gravity, current height and speed
  • GetSpeedFromHeightPotential, given gravity, current height and height potential
• Triangle math
  • Area / SignedArea, given three points or base and height)
  • Contains check, given three triangle vertices and a point to test by)
  • Right-angle trig functions to calculate Opposite/Adjacent/Hypotenuse/Angle
  • Incenter / Centroid
  • Incircle / Circumcircle
  • SmallestAngle
• Polygon math
  • Area / SignedArea, given a list of points
  • IsClockwise, given a list of points
• Circle math
  • FromToPoints (get smallest circle passing through both points)
  • FromThreePoints (get unique circle passing through three points)
  • RadiusToArea / AreaToRadius
  • AreaToCircumference / CircumferenceToArea
  • RadiusToCircumference / CircumferenceToRadius
• 2D Angle helpers (AngToDir, DirToAng...)
• 2D Vector extension methods (Rotate90CCW/CW, Rotate, RotateAround...)
• Quadratic & Linear Root finders
• Remap functions
• Constants (Tau, Pi, Golden Ratio, e, sqrt2)
• Vector extension methods (WithMagnitude, ClampMagnitude(min,max)...)
• Expanded basic math operations to vectors (Clamp, Round, Abs...)
• Color extensions (WithAlpha, MultiplyRGB...)
• Smoothing functions (Smooth01, SmoothCos01...)
• Triangle Math helpers (SignedArea, Circumcenter, Incircle...)
• Circle Math helpers (Area, Circumference...)
• All functions use radians
• And more!

Mathfs.cs does not fully match Unity's Mathf.cs, I've made a few changes:

• All angles are in radians, no methods use degrees
• Lerp and InverseLerp:
  • Unclamped by default
  • LerpClamped/InverseLerpClamped are now the special case functions/exceptions
  • Uses the more numerically stable evaluation
• Smoothstep is removed in favor of the more explicit:
  • LerpSmooth (which is how it was implemented) and
  • InverseLerpSmooth (which is how it is implemented everywhere but Unity's Mathf.cs)
• Min/Max functions with arbitrary inputs/array input will throw on empty instead of returning 0