lisyarus blog https://lisyarus.github.io/blog I write stuff about math, simulation, graphics, gamedev, and programming en-us Making your own programming language is easier than you think (but also harder) 06 May 2026 18:00:00 GMT https://lisyarus.github.io/blog/posts/making-your-own-programming-language.html https://lisyarus.github.io/blog/posts/making-your-own-programming-language.html It's OK to compare floating-points for equality 14 Apr 2026 18:00:00 GMT https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html A silly diffuse shading model 31 Dec 2025 18:00:00 GMT https://lisyarus.github.io/blog/posts/a-silly-diffuse-shading-model.html https://lisyarus.github.io/blog/posts/a-silly-diffuse-shading-model.html Particle Life simulation in browser using WebGPU 25 May 2025 12:00:00 GMT https://lisyarus.github.io/blog/posts/particle-life-simulation-in-browser-using-webgpu.html https://lisyarus.github.io/blog/posts/particle-life-simulation-in-browser-using-webgpu.html Estimating variance reduction in importance sampling 16 Mar 2025 12:00:00 GMT https://lisyarus.github.io/blog/posts/estimating-variance-reduction-in-importance-sampling.html https://lisyarus.github.io/blog/posts/estimating-variance-reduction-in-importance-sampling.html Simulating water over terrain 04 Feb 2025 18:00:00 GMT https://lisyarus.github.io/blog/posts/simulating-water-over-terrain.html https://lisyarus.github.io/blog/posts/simulating-water-over-terrain.html Exploring ways to mipmap alpha-tested textures 05 Jan 2025 18:00:00 GMT https://lisyarus.github.io/blog/posts/exploring-ways-to-mipmap-alpha-tested-textures.html https://lisyarus.github.io/blog/posts/exploring-ways-to-mipmap-alpha-tested-textures.html Implementing a tiny CPU rasterizer | Part 6: Adding some depth 11 Nov 2024 11:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-6.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-6.html Implementing a tiny CPU rasterizer | Part 5: Fixing issues with 3D 08 Nov 2024 11:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-5.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-5.html Implementing a tiny CPU rasterizer | Part 4: Changing perspective 08 Nov 2024 11:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-4.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-4.html Implementing a tiny CPU rasterizer | Part 3: Interpolating colors 01 Nov 2024 11:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-3.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-3.html Implementing a tiny CPU rasterizer | Part 2: Drawing a triangle 31 Oct 2024 18:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-2.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-2.html Implementing a tiny CPU rasterizer | Part 1: Clearing the screen 30 Oct 2024 18:00:00 GMT https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-1.html https://lisyarus.github.io/blog/posts/implementing-a-tiny-cpu-rasterizer-part-1.html (Yet another) Introduction to quaternions 26 Oct 2024 18:00:00 GMT https://lisyarus.github.io/blog/posts/introduction-to-quaternions.html https://lisyarus.github.io/blog/posts/introduction-to-quaternions.html Transforming colors with matrices 10 Oct 2024 12:00:00 GMT https://lisyarus.github.io/blog/posts/transforming-colors-with-matrices.html https://lisyarus.github.io/blog/posts/transforming-colors-with-matrices.html Demystifying multiple importance sampling 25 Apr 2024 18:00:00 GMT https://lisyarus.github.io/blog/posts/multiple-importance-sampling.html https://lisyarus.github.io/blog/posts/multiple-importance-sampling.html 3D shape matching with quaternions 26 Dec 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/3d-shape-matching-with-quaternions.html https://lisyarus.github.io/blog/posts/3d-shape-matching-with-quaternions.html Computing forces in a system of beams, properly 29 Oct 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/structural-mechanics-2.html https://lisyarus.github.io/blog/posts/structural-mechanics-2.html Computing forces in a system of beams 15 Oct 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/structural-mechanics.html https://lisyarus.github.io/blog/posts/structural-mechanics.html So, you want to make a game engine 15 Sep 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/so-you-want-to-make-a-game-engine.html https://lisyarus.github.io/blog/posts/so-you-want-to-make-a-game-engine.html Quaternion derivatives 13 Sep 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/quaternion-derivatives.html https://lisyarus.github.io/blog/posts/quaternion-derivatives.html Complex numbers, Wirtinger derivatives and 2D inverse kinematics 03 Aug 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/complex-derivatives.html https://lisyarus.github.io/blog/posts/complex-derivatives.html Porting my C++ game engine to Android 19 Jul 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/porting-for-android.html https://lisyarus.github.io/blog/posts/porting-for-android.html Skeletal animation in glTF 03 Jul 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/gltf-animation.html https://lisyarus.github.io/blog/posts/gltf-animation.html Uniqueness of matrix inverses 21 Jun 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/matrix-inverses.html https://lisyarus.github.io/blog/posts/matrix-inverses.html Making a 2D soft-body physics engine 10 May 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/soft-body-physics.html https://lisyarus.github.io/blog/posts/soft-body-physics.html How not to design a UI library 11 Mar 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/how-not-to-ui.html https://lisyarus.github.io/blog/posts/how-not-to-ui.html Two-pass Gaussian blur coeffifients generator 24 Feb 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/blur-coefficients-generator.html https://lisyarus.github.io/blog/posts/blur-coefficients-generator.html My favourite animation trick: exponential smoothing 21 Feb 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/exponential-smoothing.html https://lisyarus.github.io/blog/posts/exponential-smoothing.html Super simple generic animation controller in C++ 17 Feb 2023 18:00:00 GMT https://lisyarus.github.io/blog/posts/animation-controller.html https://lisyarus.github.io/blog/posts/animation-controller.html Building a quadtree in 22 lines of code 21 Dec 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/building-a-quadtree.html https://lisyarus.github.io/blog/posts/building-a-quadtree.html The quest for perfect collisions 25 Oct 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/perfect-collisions.html https://lisyarus.github.io/blog/posts/perfect-collisions.html C++ audio mixing library design 15 Oct 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/audio-mixing.html https://lisyarus.github.io/blog/posts/audio-mixing.html C++ behavior trees library design 22 Aug 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/behavior-trees.html https://lisyarus.github.io/blog/posts/behavior-trees.html A stupidly simple spatial data structure 16 Aug 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/expanding-nd-array.html https://lisyarus.github.io/blog/posts/expanding-nd-array.html A simple texture atlas packing algorithm 06 Aug 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/texture-packing.html https://lisyarus.github.io/blog/posts/texture-packing.html A better point light attenuation function 30 Jul 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/point-light-attenuation.html https://lisyarus.github.io/blog/posts/point-light-attenuation.html Compute shaders in graphics: Gaussian blur 21 Apr 2022 18:00:00 GMT https://lisyarus.github.io/blog/posts/compute-blur.html https://lisyarus.github.io/blog/posts/compute-blur.html