Elamur Groupantsmath-poly-inequalities
The groupant beside math/src/poly.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.
Facts
Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.
Components
| component | label | where |
|---|---|---|
| approximant | partial | approximant |
| ast | partial | ../syntax.json |
| descriptant | present | descriptant |
| invariant | partial | invariant |
| tests | executed bounded checks | tests |
Obernants
The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.
| id | type | label | where |
|---|---|---|---|
behavior_complement | behavior_complement | partial source derived model | behavior_complement |
reverse_reconstruction | reverse_reconstruction | partial source derived model | reverse_reconstruction |
critical_merge | critical_merge | partial source derived model | critical_merge |
interior_choice | interior_choice | partial source derived model | interior_choice |
operator_mismatch | operator_mismatch | partial source derived model | operator_mismatch |
endpoint_join | endpoint_join | partial source derived model | endpoint_join |
Model text
descriptant
math-poly-inequalities
solve_ineq collects approximate critical points, samples intervals and merges through accepted endpoints. dens preserves canceled holes. Many functions share interval output. Nonfinite sort, close roots and Ne exact-check mismatch limit guarantees; count root work plus per-interval evaluations.
Epoch 2026-10-31: complete source read, parent AST reused; partial finite evidence only.
approximant
Scoped forward and cost
solve_ineq collects approximate critical points, samples intervals and merges through accepted endpoints. dens preserves canceled holes. Many functions share interval output. Nonfinite sort, close roots and Ne exact-check mismatch limit guarantees; count root work plus per-interval evaluations.
No executable percent surrogate claimed.
invariant
Scoped invariant
solve_ineq collects approximate critical points, samples intervals and merges through accepted endpoints. dens preserves canceled holes. Many functions share interval output. Nonfinite sort, close roots and Ne exact-check mismatch limit guarantees; count root work plus per-interval evaluations.
Source range[22090,25985) bound by manifest digest. Parent domain applies, not arbitrary public states.
models
Source-scoped typed relations
behavior_complement
A sample where reduced denominator or any retained dens evaluates zero excludes inclusion. An interval sample failing requested sign excludes the corresponding open interval from output; this is float-sample policy, not an exact theorem.
reverse_reconstruction
Output(-2,2) for Lt is compatible with x²-4 and positive multiples, among other rational functions. Interval text cannot recover coefficients, multiplicities or original canceled factors.
critical_merge
Gather real roots from numerator and product of all denominator factors; dedup within tolerance1e-12*max(|v|,1) only when numerator flag matches. Same coordinate from both sides can remain duplicated.
interior_choice
Unbounded intervals use boundary±1 or0; bounded intervals use midpoint. Convert sample f64 to simplest Q and check exact num/den sign, while actual inside also tests dens in f64.
operator_mismatch
holds supports Ne as v!=0. Exact interior check handles Lt/Le/Gt/Ge, otherwise v==0, so Ne diagnostics can disagree even when floating interval membership follows Ne.
endpoint_join
Merge neighboring inside intervals only if holds at shared endpoint is true; otherwise emit open/closed boundary or isolated point. Float rounding, collapsed roots and NaN sorting can invalidate exact endpoint claims.
tests
Evidence
See ../tests.md for actual checks and source mutant; this fragment adds no runtime test.
solve_ineq collects approximate critical points, samples intervals and merges through accepted endpoints. dens preserves canceled holes. Many functions share interval output. Nonfinite sort, close roots and Ne exact-check mismatch limit guarantees; count root work plus per-interval evaluations.
This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/math/src/poly.rs.groupant/inequalities.groupant/