TSMathLib

A math library developed by Typescript.

Getting Started

npm i tsmathlib

Method

Data Type

• N-dimensions Vector
• M * N Matrix
• Sparse Matrix
• Quaternion

Data Structure

• HashSet

Algorithm

• Solve a linear equation Ax = b
  • Conjugate Gradient Method
  • Gaussian Elimination
  • Cramer’s Rule
• Gram Schmidt Process Method

Demo

• SPH Kernel
• Simple SPH Online Version

  Application

• Poisson Image Editing(SIGGRAPH 2003)

Commands for Typescript

• develop: yarn run watch
• build: yarn run build
• check code: yarn run check
• fix tslint: yarn run tslint-fix
• delete node_modules: rimraf node_modules
• npm update check: ncu -> ncu -u -> npm install

  Reference

• Pérez, Patrick, Michel Gangnet, and Andrew Blake. “Poisson image editing.” ACM Transactions on graphics (TOG) 22.3 (2003): 313-318.
• M. Becker and M. Teschner, Weakly Compressible SPH for Free Furface Flows, In Proc. SCA2007, pp.209-217, 2007.
• M. Desbrun and M.-P. Cani, Smoothed Particles: A New Paradigm for Animating Highly Deformable Bodies, Eurographics Workshop on Computer Animation and Simulation (EGCAS), pp.61-76. 1996.
• Dan Koschier, Jan Bender. Smoothed Particle Hydrodynamics Techniques for the Physics Based Simulation of Fluids and Solids, Eurographics Tutorial 2019.
• Muller M, Charypar D, Gross M. Particle-based fluid simulation for interactive applications, Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation. Eurographics Association, 2003: 154-159.