jungrok5 / Mathfs

Expanded Math Functionality for Unity

Mathfs

Expanded Math Functionality for Unity

Features

• 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
  • IsClockwise
  • WindingNumber
  • Contains
• Circle math
  • FromTwoPoints (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!

Changes

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