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Ran 19 Jul 2026 12:53AM UTC

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Committed 19 Jul 2026 12:11AM UTC coverage: 84.697% (-0.008%) from 84.705%

Job # 29666532566.1

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push

github

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web-flow

Commit Message

feat(efloat): Wilkinson polynomial root-finding demonstration (#1100) (#1149)

Adds applications/precision/adaptive/polynomial_roots.cpp: finds the roots of
Wilkinson's polynomial W(x) = (x-1)...(x-20) (roots 1..20) with the SAME Newton
kernel on double vs efloat<16> (512-bit).

The expanded coefficients reach ~1.4e19 and several exceed 2^53, so storing them
as double perturbs them -- and Wilkinson's roots are famously hypersensitive to
coefficient perturbation. The program expands W exactly in efloat, rounds the
coefficients to double, and asks from each true root i whether i is still a root:
efloat's exact coefficients keep every root at its integer (error 0), while the
double coefficients move the roots off the integers by up to ~1.3e-2 (worst for
the middle roots 13..17). The largest single coefficient rounding error is ~512
(in the x^3 term).

clang-format conformant; no CMake change (the adaptive glob builds
adaptive_polynomial_roots). README updated with the demo row and an explanatory
section (numerical sensitivity + result interpretation) per the acceptance
criteria. Builds and runs on gcc 13.3.0 and clang 18.1.3.

Resolves #1100

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