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**dsga** is a single header-only **c++20 library** that implements the **vectors** and **matrices** from the OpenGL Shading Language 4.6 specification ([pdf](https://www.khronos.org/registry/OpenGL/specs/gl/GLSLangSpec.4.60.pdf) | [html](https://registry.khronos.org/OpenGL/specs/gl/GLSLangSpec.4.60.html)). It is inspired by the spec, but does deviate in some small ways, mostly to make it work well in c++20. It is not intended to be used for rendering, just for sharing the fundamental data structures and associated functions. Our requirements in general are for things like 3D CAD/CAM applications and other geometric and algebraic things. See [motivation](docs/MOTIVATION.md) for more details. This library does not use SIMD instructions or types under the hood, beyond whatever the compiler provides through optimization.
Not in GLSL. It compares the Euclidean distance between two vectors to see if they are within the tolerance. The tolerance is a strictly less-than comparison. Tolerances need to be non-negative.
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