### Error growth of composing rotations

Some quick-n-dirty empirical results to spitball the error growth on composing rotations

### Basic uniform random floating-point values

Micropost on unbiased uniform float generation on $\left(0,1\right]$, $\left[-1,1\right)$ and $\left[-1,1\right)$. The latter two have twice the number of samples as the standard method.

### 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.

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### 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.

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.

### Uniform points in sphere and capped cone

micro post on title

### 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