The article probes floor/ceil behavior for denormal numbers across CPU and GPU, reveals platform-dependent results, cites a DirectX spec demanding denormal flushing, and offers a deterministic HLSL workaround plus notes on MXCSR controls and performance implications.
Floats cause non-deterministic results across architectures; exact-poly uses i128 integer cross products and a fixed scale to achieve bit-for-bit reproducible 2D convex decomposition across WASM, x86_64, ARM, and on-chain runtimes.
An in-depth, hands-on account of building floating-point arithmetic from scratch for bfloat16/minifloats, covering hardware design trade-offs, verification, tapeouts, and standardization quirks in IEEE 754 and C++.
Reverse-engineering the Intel 8087 reveals an eight-entry, 80-bit stack with push/pop rules, a carry-lookahead adder and toggle-based increment/decrement, plus a dense, multi-layer RAM-like register file and a semi-analog microcode ROM; the design produced stack overflow/underflow pitfalls that affected compiler and OS support, and was eventually superseded by SSE/AVX.
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