Consume the shared complex arithmetic field contract - #45
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Purpose
Make the live whole-plane explorer an explicit application consumer of the canonical complex/projective corpus without moving app machinery into the compiler or reintroducing migrated Lacunary/lasso work.
Existing live model preserved
The native walk already represents
qas complex polynomial coefficients and evolves it with complex multiplication. The fragment already evaluatesby adding
Re(q)to log modulus andIm(q)to phase after the explicit zero/pole divisor. This PR anchors that existing implementation to the shared cross-backend contract rather than replacing it.Consumer acceptance
The unit-test workflow now checks out the exact canonical
math/complex-projective-semanticsbranch. The application fixture consumes the shared field model and the shared explicit zero/pole divisor.The application retains its own live
u=z/6coefficient normalization/budget, so it does not force its random-walk policy into the compiler or x86 backend and does not require pixel equality with the x86 headless renderer.Tests verify:
exp(q)values are finite and nonzero;holomorphic_qcontains polynomial complex arithmetic but no phase/log/magnitude/conjugation/derivative observation;direction_atremains polynomial complex arithmetic;A provenance receipt is uploaded with both the application head and canonical semantic target SHA.
Projective boundary
The finite interactive viewport does not currently require a runtime CP^1 point at infinity. This PR does not invent one just to advertise projective integration; that stage is recorded
SKIPuntil an actual meromorphic API/serialization operation requires it.No lasso, overlapping-disc, path, Riemann-surface, or lacunary machinery is reintroduced.