🍅 tomato - math::geometry 3D library

tomato math::geometry is an geometry 3D library with basics functions for working in 3D space... This Tcl package is inspired , copied (as best I could) from this great library written in .Net Math.NET Spatial. Some features for this class Quaternion are inspired by this python library pyquaternion.

Currently geometries supported are :

Class	Description
Vector	A Class representing a Vector in 3D space
Ray	A Class representing a Ray in 3D space
Point	A Class representing a Point in 3D space
Plane	A Class representing a Plane in 3D space
Matrix3d	Helper class for working with 3D matrixes
Basic Matrix	Defines the base class for Matrix classes (basic matrixes for CoordinateSystem, Matrix3d and Vector)
Line	A Class representing a Line in 3D space
Coordinate System	A Class representing a Coordinate System
Quaternion	A Class representing a Quaternion
Triangle	A Class representing a Triangle in 3D space

License :

tomato math::geometry is covered under the terms of the MIT license.

Examples :

See Start page Documentation

Release :

• 26-Feb-2021 : 1.0
  • Initial release.
• 21-Mar-2021 : 1.1
  • Add Quaternion Class.
• 26-Sep-2021 : 1.2
  • Add Triangle Class.
• 16-Oct-2021 : 1.2.1
  • Bug fixes.
  • Tolerance geom and equal by default.
  • Generate a machine-readable error with throw command.
  • Helper.tcl : Add tcl::mathfunc : Pi() + Inv().
  • Helper.tcl : Add L2Norm command.
  • Matrix.tcl : Add == and != operators.
  • Matrix.tcl : Add IsOrthogonal command.
  • Matrix.tcl : Check if matrix is singular.
  • Ray3d.tcl : Add IntersectionRayWithPlane command.
  • Triangle3d.tcl : Add GetType command.
• 26-Feb-2022 : 1.2.2
  • Vector3d.tcl : Correction 'lerp' command + cosmetic changes.
  • CoordinateSystem.tcl : Cosmetic changes.
  • Line3d.tcl : Cosmetic changes.
  • Matrix.tcl : Cosmetic changes.
  • Plane.tcl : IntersectionWithRay + IntersectionWithLine calculation without projection + cosmetic changes.
  • Point3d.tcl : Cosmetic changes + tolerance documentation for 'IsCollinearPoints' command.
  • Quaternion.tcl : Cosmetic changes.
  • Triangle3d.tcl : Cosmetic changes.
• 01-Oct-2022 : 1.2.3
  • Cosmetic changes.
  • Updated Ruff! package to version 2.3 (documentation).
• 30-Mar-2024 : 1.2.4
  • CoordinateSystem.tcl : Fixes order of YPR (yaw-pitch-roll) transformation.
  • Plane.tcl : Fixes FromPoints procedure which is independent of point order.
  • Cosmetic changes.