jasmine-math

jasmine-math

This is a rust math library containing classes for vectors, matrices, quaternions, and elements of projective geometric algebra. The specific classes are the following: |--------|--------| |name|description| |--------|--------| |vector2| A 2D vector (x, y) that extends to four dimensions as (x, y, 0, 0). | |vector3| A 3D vector (x, y, z) that extends to four dimensions as (x, y, z, 0). | |vector4| A 4D vector (x, y, z, w).| |point2| A 2D point (x, y) that extends to four dimensions as (x, y, 0, 1).| |point3| A 3D point (x, y, z) that extends to four dimensions as (x, y, z, 1).| |matrix2| A 2×2 matrix.| |matrix3| A 3×3 matrix.| |matrix4| A 4×4 matrix.| |transform4| A 4×4 matrix with fourth row always (0, 0, 0, 1).| |quaternion| A convention quaternion xi + yj + zk + w.| |bivector3| A 3D bivector x e₂₃ + y e₃₁ + z e₁₂.| |bivector4| A 4D bivector (line) v_x e₄₁ + v_y e₄₂ + v_z e₄₃ + m_x e₂₃ + m_y e₃₁ + m_z e₁₂.| |trivector4| A 4D trivector (plane) x e₂₃₄ + y e₃₁₄ + z e₁₂₄ + w e₃₂₁.| |motor| A 4D motion operator r_x e₄₁ + r_y e₄₂ + r_z e₄₃ + r_w 𝟙 + u_x e₂₃ + u_y e₃₁ + u_z e₁₂ + u_w.| |Flector4D | A 4D s_x e₁ + s_y e₂ + s_z e₃ + s_w e₄ + h_x e₂₃₄ + h_y e₃₁₄ + h_z e₁₂₄ + h_w e₃₂₁.|

references

https://github.com/EricLengyel/Terathon-Math-Library

http://terathon.com/gdc14_lengyel.pdf

http://projectivegeometricalgebra.org

https://medium.com/@Razican/learning-simd-with-rust-by-finding-planets-b85ccfb724c3

this: https://github.com/rustgd/cgmath.git simd https://medium.com/@Razican/learning-simd-with-rust-by-finding-planets-b85ccfb724c3

https://doc.rust-lang.org/edition-guide/rust-2018/simd-for-faster-computing.html

https://www.youtube.com/watch?v=tX4H_ctggYo

https://enkimute.github.io/ganja.js/examples/coffeeshop.html#pga2d_points_and_lines

http://terathon.com/blog/

http://mathfor3dgameprogramming.com/

gpa https://github.com/enkimute/ganja.js

http://terathon.com/blog/projective-geometric-algebra-done-right/

http://terathon.com/blog/symmetries-in-projective-geometric-algebra/

todolist

• 基础内容或功能
• test
• 文档
• sample
• 性能优化