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@alexsr
alexsr / svd_glsl.glsl
Last active May 17, 2025 12:31
SVD and other matrix decompositions on 3x3 matrices written in GLSL
// This is a GLSL implementation of
// "Computing the Singular Value Decomposition of 3 x 3 matrices with
// minimal branching and elementary floating point operations"
// by Aleka McAdams et.al.
// http://pages.cs.wisc.edu/~sifakis/papers/SVD_TR1690.pdf
// This should also work on the CPU using glm
// Then you probably should use glm::quat instead of vec4
// and mat3_cast to convert to mat3.
/*
This software is released under the MIT license:
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software is furnished to do so,
subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
@gocarlos
gocarlos / Eigen Cheat sheet
Last active June 25, 2026 19:12
Cheat sheet for the linear algebra library Eigen: http://eigen.tuxfamily.org/
// A simple quickref for Eigen. Add anything that's missing.
// Main author: Keir Mierle
#include <Eigen/Dense>
Matrix<double, 3, 3> A; // Fixed rows and cols. Same as Matrix3d.
Matrix<double, 3, Dynamic> B; // Fixed rows, dynamic cols.
Matrix<double, Dynamic, Dynamic> C; // Full dynamic. Same as MatrixXd.
Matrix<double, 3, 3, RowMajor> E; // Row major; default is column-major.
Matrix3f P, Q, R; // 3x3 float matrix.
@bkaradzic
bkaradzic / orthodoxc++.md
Last active July 21, 2026 07:07
Orthodox C++

Orthodox C++

This article has been updated and is available here.