https://www.pistack.xyz/tags/interval-arithmetic/ Recent content in Interval-Arithmetic on Pi Stack Hugo en-us Mon, 22 Jun 2026 00:00:00 +0000 https://www.pistack.xyz/posts/2026-06-22-cpp-interval-arithmetic-libraries-boost-interval-gaol-filibpp/ Mon, 22 Jun 2026 00:00:00 +0000 https://www.pistack.xyz/posts/2026-06-22-cpp-interval-arithmetic-libraries-boost-interval-gaol-filibpp/ <h2 id="introduction">Introduction</h2> <p>In numerical computing, floating-point rounding errors are an unavoidable reality. A calculation that should return exactly 0.1 might return 0.09999999999999999 due to IEEE 754 representation limits. For safety-critical applications — aerospace control systems, financial risk analysis, scientific instrument calibration — these errors compound and can produce dangerously wrong results. <strong>Interval arithmetic</strong> solves this by representing each value not as a single floating-point number, but as an interval <code>[lower, upper]</code> guaranteed to contain the true mathematical result.</p>