An empirical testing point set on sphere and caps

Code for incrementally generating a spherical Fibonacci point set on a spherical cap


20180621 testing

Solving for quaternion rotation from a vector viewpoint

A short description of solving a quaternion rotation using vectors


20180612 rotations graphics

Volume element of SO(3) and average uniform random rotation angle

Find the expression of a volume element of rotations.


20171110 rotation quantization distribution sampling map

Basic XOR-rotates and their inverse

Simplified description of bijections formed only from XORs and shifts.


20171013 integer

Table of basic reversible integer operations

A table and some comments on integer bijections.


20171013 integer

PRNS with 32 bits of state

A multistream low complexity random access PRNG/permutation generator.


20170927 random sequence permutation Weyl

Integer multiplicative inverse via Newton's method

A short note on computing the modular multiplicative inverse of an odd integer.


20170918 integer

Linear Congruential Sequences

A small list of properties of full-period sequences for reference.


20170912 random sequence permutation

On quaternion/rotation matrix conversions and errors

Skims the math of quaternions to rotations matrices and back with empirical errors including small angle special case.


20170808 rotations conversion

Hopf coordinate conversion and torque minimal factorization

Gives a mile-high overview of the Hopf map from geometry perspective.


20170512 hopf rotations