Compiles output = scale*input + offset (Tier-1: scale > 0) into a quadratic-well
constraint Hamiltonian, reusing the ratified compile_quadratic_well +
HamiltonianCompileError contracts.
Anti-hollow (spike §4.1): the compiler never evaluates scale*input+offset in
Python — it embeds the input (P1) and applies the relation's structure as
versor operators (dilator for scale, translator for offset), so the substrate's
geometric product performs the arithmetic. The returned well is a bare
projector carrying no answer and no coefficients (metadata = {curvature,
target_digest} only); relaxation + projective readback recover the output.
Verified end-to-end: multiply/add/subtract/divide/negative-input all decode
exactly; ablation confirms the start decodes to the input and only the relaxed
state to the answer.
Fail-closed on non-positive scale (outside positive-dilation Tier-1) and
non-finite coefficients. Golden-bytes canary pins the compiled matrix.
Serve-quarantined (A-04). Single-relation primitive; state-chaining is P4.
21/21 pins green.
[Verification]: uv run python -m pytest tests/test_adr_0249_relation_compiler.py -q
3098971fd2