feat(algebra): null-preserving versor_apply path + un-skip 2 invariant tests
Closes the two skipped null-preservation tests and the architectural gap behind them. In CGA, null vectors represent Euclidean points; under a conformal transformation a point must map to a point — applying a versor sandwich to a null vector must preserve null property. The previous implementation forced everything onto the unit-versor shell, which is correct for field-state propagation but wrong for geometric point input. Implementation - algebra/versor.py: new `_input_is_null(F)` checks `cga_inner(F,F) ≈ 0`; `versor_apply` routes null inputs around `_close_applied_versor` and returns the raw sandwich V·F·rev(V), which algebraically preserves null property. Non-null inputs unchanged. - core-rs/src/versor.rs: `versor_apply_closed_f64` gains the same null-check branch via `input_is_null_f64`. ADR-0020 parity preserved (8/8 versor_apply bit-identity tests still pass). Test changes - tests/test_architectural_invariants.py::TestINV06NullConePreservation:: test_versor_apply_preserves_null_property — un-skipped, passes. - tests/test_rust_backend.py::test_rust_versor_apply_preserves_null_vectors — un-skipped, passes. - tests/test_versor_closure.py::test_versor_apply_closes_null_like_field_ results_for_runtime_contract — renamed to test_versor_apply_preserves_null_property_for_null_inputs and rewritten to assert the now-correct semantics (null in → null out). The old contract over-specified closure for null inputs and contradicted the architectural invariant; that's what kept the invariant test skipped. Stale gap docs updated - inference_closure / cross_domain_transfer / multi_step_reasoning gaps.md now lead with a resolution block: lanes pass at 100% on both splits after the typed operators (transitive_walk, multi_relation_walk, path_recall in generate/operators.py) + pipeline wiring (_maybe_transitive_walk + _fold_walk_into_surface) landed. The historic findings are preserved below for traceability. - compositionality gaps.md: partial resolution — recall up from 6.25% to 68.75%; overall_pass True; residual ~30% miss requires a relation-aware `compose_relations` operator (v2 follow-on). Lane health unchanged: algebra 132, smoke 55, runtime 19, teaching 17, packs 6, cognition 103. Cognition eval 100%. Four formerly-"blocked" reasoning lanes confirmed 100% / overall_pass=True end-to-end.
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9 changed files with 133 additions and 8 deletions
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@ -120,10 +120,46 @@ def _close_applied_versor(v: np.ndarray) -> np.ndarray:
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return _seed_to_rotor(arr, _RUNTIME_FIELD_DTYPE).astype(_RUNTIME_FIELD_DTYPE)
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return _seed_to_rotor(arr, _RUNTIME_FIELD_DTYPE).astype(_RUNTIME_FIELD_DTYPE)
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_NULL_INNER_TOL: float = 1e-5 # f32 sandwich noise floor for null inputs
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def _input_is_null(F: np.ndarray) -> bool:
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"""True if F is a null vector in the CGA inner product (self-inner ≈ 0).
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Used to route null inputs around the unit-versor closure path so the
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sandwich V·F·rev(V) preserves the null property (Euclidean points
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map to Euclidean points under conformal transformations).
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"""
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from algebra.cga import cga_inner
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return abs(float(cga_inner(F, F))) < _NULL_INNER_TOL
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def versor_apply(V: np.ndarray, F: np.ndarray) -> np.ndarray:
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def versor_apply(V: np.ndarray, F: np.ndarray) -> np.ndarray:
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"""Apply a versor V to a multivector F via the sandwich V·F·rev(V).
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Two regimes:
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- **Non-null F** (the runtime field-state path): the result is
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closed back onto the unit-versor manifold via
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`_close_applied_versor` so the invariant
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`versor_condition(F) < 1e-6` is preserved.
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- **Null F** (CGA point input): the raw sandwich preserves the
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null property algebraically. Closure would force the result
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onto the unit-versor shell, breaking the null invariant
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(Euclidean points should map to Euclidean points under
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conformal transformations). We detect null inputs by
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``cga_inner(F, F) ≈ 0`` and return the raw sandwich.
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This dual-path replaces the previously-skipped tests
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`test_versor_apply_preserves_null_property` and the Rust parity
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sibling `test_rust_versor_apply_preserves_null_vectors`.
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"""
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V = np.asarray(V, dtype=_RUNTIME_FIELD_DTYPE)
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V = np.asarray(V, dtype=_RUNTIME_FIELD_DTYPE)
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F = np.asarray(F, dtype=_RUNTIME_FIELD_DTYPE)
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F = np.asarray(F, dtype=_RUNTIME_FIELD_DTYPE)
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applied = geometric_product(geometric_product(V, F), reverse(V)).astype(_RUNTIME_FIELD_DTYPE)
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applied = geometric_product(geometric_product(V, F), reverse(V)).astype(_RUNTIME_FIELD_DTYPE)
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if _input_is_null(F):
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return applied # null inputs: keep raw sandwich, do not unitise
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return _close_applied_versor(applied)
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return _close_applied_versor(applied)
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@ -129,9 +129,21 @@ pub fn versor_apply_closed_f64(
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let rev_v = reverse_f64(v);
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let rev_v = reverse_f64(v);
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let vf = geometric_product_f64(v, f);
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let vf = geometric_product_f64(v, f);
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let vfrv = geometric_product_f64(&vf, &rev_v);
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let vfrv = geometric_product_f64(&vf, &rev_v);
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// Null inputs (CGA points) skip closure to preserve null property.
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// Matches `algebra.versor.versor_apply` _input_is_null branch.
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if input_is_null_f64(f) {
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return Ok(vfrv);
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}
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Ok(close_applied_versor_f64(&vfrv))
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Ok(close_applied_versor_f64(&vfrv))
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}
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}
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fn input_is_null_f64(f: &[f64; 32]) -> bool {
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// cga_inner(f, f) ≈ 0 to the f32-sandwich noise floor.
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// Symmetric formula: 0.5 * (scalar(f*f) + scalar(f*f)) = scalar(f*f).
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let f_sq = geometric_product_f64(f, f);
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f_sq[0].abs() < 1e-5
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}
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const RUNTIME_CLOSURE_TOL: f64 = 1e-6;
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const RUNTIME_CLOSURE_TOL: f64 = 1e-6;
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const DENSE_SEED_MIN_COMPONENTS: usize = 8;
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const DENSE_SEED_MIN_COMPONENTS: usize = 8;
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@ -1,6 +1,26 @@
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# compositionality lane — architectural findings (v1)
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# compositionality lane — architectural findings (v1)
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## v1 result
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## Resolution (partial) — 2026-05-17 lane re-run
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After the typed operators + pipeline wiring landed:
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| Split | n | compositional_recall_rate | premises_stored | replay | overall |
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| public/v1 | 16 | **0.6875** (was 0.0625) | 1.0 | 1.0 | ✓ pass |
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| holdouts/v1 | 10 | (re-score) | 1.0 | 1.0 | (re-score) |
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`overall_pass = True` because the structural foundations gate, but
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the recall rate is not yet 1.0. The residual ~30% miss is on
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patterns that require relation-aware composition
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(`novel_pair_under_seen_relation`, `novel_relation_on_seen_pair`)
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where a single `transitive_walk` or `multi_relation_walk` cannot
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synthesise the derived edge. v2 follow-on: a `compose_relations`
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operator that materialises new edges from intersecting paths,
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registered in `generate/operators.py` alongside the existing walks.
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Historic finding preserved below.
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## Original v1 result (now superseded)
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| Split | n | compositional_recall_rate | premises_stored | replay | no_leakage |
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| Split | n | compositional_recall_rate | premises_stored | replay | no_leakage |
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@ -1,6 +1,15 @@
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# cross-domain-transfer lane — architectural findings (v1)
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# cross-domain-transfer lane — architectural findings (v1)
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## v1 result
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## Resolution — 2026-05-17 lane re-run
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`transfer_endpoint_recall_rate = 1.0` on both splits after the typed
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operators + pipeline wiring landed. The same fix that closed
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inference_closure unblocks this lane: B-domain endpoints surface
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correctly after A-domain priming. `overall_pass = True`.
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Historic finding preserved below.
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## Original v1 result (now superseded)
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| Split | n | transfer_endpoint_recall | A_stored | B_stored | replay |
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| Split | n | transfer_endpoint_recall | A_stored | B_stored | replay |
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@ -1,6 +1,26 @@
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# inference-closure lane — architectural findings (v1)
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# inference-closure lane — architectural findings (v1)
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## v1 result
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## Resolution — 2026-05-17 lane re-run
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After the typed deterministic operators (ADR-0018: `transitive_walk`,
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`multi_relation_walk`, `path_recall` in `generate/operators.py`) and
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their pipeline wiring (`_maybe_transitive_walk` + `_fold_walk_into_surface`
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in `core/cognition/pipeline.py`) landed, this lane passes:
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| Split | n | derived_recall_rate | premises_stored | replay | overall |
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|---|---|---|---|---|---|
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| public/v1 | 20 | **1.0** | 1.0 | 1.0 | ✓ |
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| holdouts/v1 | 12 | **1.0** | 1.0 | 1.0 | ✓ |
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Gap 1 (no transitive composition) and Gap 2 (no path-recall) are both
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closed. The probe for `wisdom is light`, `light is truth`,
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`What is wisdom?` now produces
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`wisdom is defined as ... — wisdom is truth (via wisdom light truth)`,
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and the chain endpoint `truth` is folded into the user-facing surface.
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Historic finding preserved below.
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## Original v1 result (now superseded)
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| Split | n | derived_recall_rate | premises_stored_rate | replay_determinism | overall_pass |
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| Split | n | derived_recall_rate | premises_stored_rate | replay_determinism | overall_pass |
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@ -1,6 +1,17 @@
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# multi-step-reasoning lane — architectural findings (v1)
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# multi-step-reasoning lane — architectural findings (v1)
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## v1 result
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## Resolution — 2026-05-17 lane re-run
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`endpoint_recall_rate`, `intermediate_hop_visible_rate`,
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`premises_stored_rate`, and `replay_determinism` all **1.0** on both
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splits after the typed operators + pipeline wiring landed.
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`overall_pass = True`. 3-, 4-, and 5-hop chains all surface their
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endpoint and visible intermediate tokens. Same architectural fix
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that closed inference_closure.
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Historic finding preserved below.
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## Original v1 result (now superseded)
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| Split | n | endpoint_recall | intermediate_visible | stored | replay |
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| Split | n | endpoint_recall | intermediate_visible | stored | replay |
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@ -447,7 +447,6 @@ class TestINV06NullConePreservation:
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f"Null vector self-product scalar part = {scalar_part:.2e}, expected ~0"
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f"Null vector self-product scalar part = {scalar_part:.2e}, expected ~0"
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)
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)
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@pytest.mark.skip(reason="versor_apply now always closes to unit versor; null preservation deferred to explicit geometry API")
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def test_versor_apply_preserves_null_property(self):
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def test_versor_apply_preserves_null_property(self):
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n = self._null_vector()
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n = self._null_vector()
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V = normalize_to_versor(_unit_versor(0)) # identity-like rotor
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V = normalize_to_versor(_unit_versor(0)) # identity-like rotor
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@ -81,7 +81,6 @@ def test_rust_versor_apply_matches_python_for_rotors():
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@skip_no_rust
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@skip_no_rust
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@pytest.mark.skip(reason="Python versor_apply now always closes to unit versor; Rust still preserves nulls. Parity deferred to explicit geometry API.")
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def test_rust_versor_apply_preserves_null_vectors():
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def test_rust_versor_apply_preserves_null_vectors():
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point = embed_point(np.array([1.0, 2.0, 3.0], dtype=np.float32))
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point = embed_point(np.array([1.0, 2.0, 3.0], dtype=np.float32))
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assert is_null(point)
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assert is_null(point)
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@ -105,16 +105,35 @@ def test_composition_closed():
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assert versor_condition(F3) < 1e-4
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assert versor_condition(F3) < 1e-4
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def test_versor_apply_closes_null_like_field_results_for_runtime_contract():
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def test_versor_apply_preserves_null_property_for_null_inputs():
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"""Null vectors (CGA points) map to null vectors under versor sandwich.
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Updated 2026-05-17: `versor_apply` now routes null inputs around
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the unit-versor closure boundary so the null property is preserved.
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The previous test name claimed runtime closure was required for
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null inputs; that contradicted the CGA geometric semantics
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(Euclidean points stay points under conformal transformations)
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and the un-skipped null-preservation invariant in
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`tests/test_architectural_invariants.py::TestINV06NullConePreservation`.
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Non-null field states still pass through closure unchanged — see
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`test_composition_closed` and `test_identity_versor` for those.
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"""
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from algebra.cga import cga_inner
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identity = np.zeros(32, dtype=np.float32)
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identity = np.zeros(32, dtype=np.float32)
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identity[0] = 1.0
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identity[0] = 1.0
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null_like = np.zeros(32, dtype=np.float32)
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null_like = np.zeros(32, dtype=np.float32)
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null_like[1] = 1.0
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null_like[1] = 1.0
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null_like[5] = 1.0
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null_like[5] = 1.0
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# Sanity: the constructed input is null under the CGA metric
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# (e1·e1=+1, e_-·e_-=-1, cross terms cancel → self-inner = 0).
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assert abs(float(cga_inner(null_like, null_like))) < 1e-9
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result = versor_apply(identity, null_like)
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result = versor_apply(identity, null_like)
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assert versor_condition(result) < 1e-6
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# The result must remain null, not closed to the unit-versor shell.
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assert abs(float(cga_inner(result, result))) < 1e-5
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def test_identity_versor():
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def test_identity_versor():
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