Mathematics Package for Unity.

Provides multiple common 3D transformations and geometry.

Demo here : https://github.com/StephanieRct/Ni.Math.Demo/tree/main

Ni.Math Transforms:

• Translation1 : 1D translation
• Translation3 : 3D translation
• Rotation3Q : 3D rotation as quaternion
• Rotation3E : 3D rotation as Euler X, Y, Z angles
• ShearXY3 : 3D shear on axes Y.x, Z.x, Z.y components
• Scale1 : 1D scale, 3D uniform scale
• Scale3 : 3D non-uniform scale
• RigidTransform3 : 3D translation * 3D rotation
• UniformTransform3 : 3D translation * 3D rotation * 3D uniform scale
• NonUniformTransform3 : 3D translation * 3D rotation * 3D non-uniform scale
• Matrix3x3Transform3 : 3D rotation * 3D shear * 3D non-uniform scale
• Matrix4x4Transform3 : 3D translation * 3D rotation * 3D shear * 3D non-uniform scale
• Aabb3M : 3D translation * 3D non-uniform scale : 3D Axis-Aligned Bounding Box (min, max)
• Aabb3S : 3D translation * 3D non-uniform scale : 3D Axis-Aligned Bounding Box (min, size)
• Aabb3C : 3D translation * 3D non-uniform scale : 3D Axis-Aligned Bounding Box (center, extent)
• Obb3T : 3D translation * 3D rotation * 3D non-uniform scale : 3D Oriented Bounding Box (NonUniformTransform3)
• Obb3M : 3D translation * 3D rotation * 3D shear * 3D non-uniform scale : 3D Oriented Bounding Box (Matrix4x4Transform3)
• ProjectionAxis3x1 : 3D projection from 1D : Project a 1D scalar value onto a 3D axis vector.
• ProjectionAxis1x3 : 1D projection from 3D : Project a 3D vector onto an axis vector 1D scalar value.
• Direction3 : Unit 3D vector
• Ray3 : 3D translation * 3D projection from 1D : 3D ray (origin, direction)
• RayI3 : 1D projection from 3D * 3D translation : 3D inverse ray.
• LineSegment3: 3D translation * 3D projection from 1D : 2 3D points connected as a line segment

Ni.Math Static classes:

• NiMath : Contains all variations of:
  • NearEqual(a, b, margin) : Return if a and b are equal within a margin of error
  • GetTranslation(a) : Get the translation component of the transform a
  • GetRotation(a) : Get the rotation component of the transform a
  • GetShear(a) : Get the shear component of the transform a
  • GetScale(a) : Get the scale component of the transform a
  • ReTranslate(a, b) : return a with its translation component set to b.
  • ReRotate(a, b) : return a with its rotation component set to b.
  • ReShear(a, b) : return a with its shear component set to b.
  • ReScale(a, b) : return a with its scale component set to b.
  • Translate(a, b) : Translate b by a
  • Rotate(a, b) : Rotate b by a
  • Shear(a, b) : Shear b by a
  • Scale(a, b) : Scale b by a
  • Inverse(a) : return the inverse of transform a
  • Transform(a, b) : Transform b by a
  • Untransform(a, b) : Transform b by Inverse(a)
  • Mul(a, b) : Multiply b by a (combine transforms. Right to left transformation order)
  • Div(a, b) : Divide b by a (combine inverse transform. Right to left transformation order)
  • Contains(a, b) : If b is contained within a
  • Raycast1(ray, b, maxDistance, out float t) : Ray cast on b. return true if ray hits b. Hit 3d point is ray[t]
  • Decompose(o, ...) : Decompose a transform into its primary transformations.
• Cube3 : Contains metrics for a 3D cube such as vertices, edges, indices, etc.

Ni.Math.Editor:

• PropertySerialization : Utility function for serialization of math transforms with the SerializedProperty API
• NiMathDrawer : Base drawer class. Each transform has its own drawer class
• NiMathHandles : Utility functions for drawing transforms with the Handles API
• NiMathGizmos : Utility functions for drawing transforms with the Gizmos API
• NiMathEditorGUI : Utility functions for editor GUI.