Basic uniform random floating-point values

Micropost on uniform float generation on $\left(0,1\right]$, $\left[-1,1\right)$ and $\left[-1,1\right)$.

Solve power-of-two LCG for constants

A quick derivation of solving for LCG constants (power-of-two modulus) given three sequential outputs of the generator.

Generating the log of a uniform random float

Sketches out some possible implementations of taking the logarithm of a uniform floating point value.

Computing floating point additive recurrence

Computing Weyl (additive recurrence) sequences in float-point has some gotchas.

FMA: solve quadratic equation

Micro-post on title.

FMA: extended precision addition and multiplication by constant

Brushstrokes using FMAs to compute: K+x and Kx with K in higher than native precision.

Tau and the art of Windmill jousting

TLDR: Use tau if you want, but you need a good argument to say pi was a historic mistake.

Got Gamma?

A breakdown on my joke approximation of $x^{2.2}$

A slerp by half

Some notes computing the rotation half away between two inputs

Can an involution be a competitive bit finalizer?

A feasibility study to determine if an involution can be competitive (quality and cost) bit mixer.

Comments on the Avalanche Effect

A quick overview of what "Avalanche Effect" properties are, why they can be used to test and search for PRNGs and overview of how to convert the property into a comparision measurement.

Some comments on approximately equal FP comparisons

In which I point to some other peoples blog posts and make some minor comments.

Measuring ULP distance

Some code for measuring the ULP distance between floats with comments.

Floating point division with known divisor

A small note on division removal

posit: thin triangle other tricks (REVEALED!)

First post in breaking down why the posits presentations are egregiously disingenuous.

An empirical testing point set on sphere and caps

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

Solving for quaternion rotation from a vector viewpoint

A short description of solving a quaternion rotation using vectors

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

Find the expression of a volume element of rotations.