153 lines
5.9 KiB
Python
153 lines
5.9 KiB
Python
"""Tests for the alignment graph and HolonomyAlignmentCase formal proof."""
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from __future__ import annotations
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import numpy as np
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import pytest
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from alignment.graph import load_alignment
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from language_packs.schema import AlignmentEdge, HolonomyAlignmentCase
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from algebra.holonomy import holonomy_encode, holonomy_similarity
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from language_packs import load_pack
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# ---------------------------------------------------------------------------
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# Alignment graph loading
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# ---------------------------------------------------------------------------
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def test_load_he_alignment_returns_depth_and_english_anchor_edges():
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graph = load_alignment("he_logos_micro_v1")
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assert len(graph) == 11
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for edge in graph.edges:
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assert isinstance(edge, AlignmentEdge)
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assert 0.0 <= edge.weight <= 1.0
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assert edge.relation.startswith("cross_lang.")
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def test_load_grc_alignment_returns_depth_and_english_anchor_edges():
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graph = load_alignment("grc_logos_micro_v1")
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assert len(graph) == 9
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def test_load_en_alignment_returns_empty_graph():
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"""Operational base packs carry no cross-language edges yet."""
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graph = load_alignment("en_minimal_v1")
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assert len(graph) == 0
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def test_davar_logos_edge_weight_above_threshold():
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"""דבר ↔ λόγος edge weight must be >= 0.9 (logos.utterance canonical pair)."""
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graph = load_alignment("he_logos_micro_v1")
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edge = graph.get_edge("he-001", "grc-001")
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assert edge is not None, "he-001 → grc-001 edge missing"
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assert edge.weight >= 0.9
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assert edge.relation == "cross_lang.logos.utterance"
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def test_aligned_pairs_by_relation_prefix():
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"""aligned_pairs() should filter by relation prefix correctly."""
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graph = load_alignment("he_logos_micro_v1")
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all_cross = graph.aligned_pairs("cross_lang.logos")
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assert len(all_cross) == 11
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logos_only = graph.aligned_pairs("cross_lang.logos.utterance")
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assert {edge.target_id for edge in logos_only} == {"grc-001", "en-024"}
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assert all(edge.source_id == "he-001" for edge in logos_only)
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def test_edges_from_source():
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graph = load_alignment("grc_logos_micro_v1")
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edges = graph.edges_from("grc-001")
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assert {edge.target_id for edge in edges} == {"he-001", "en-024"}
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# ---------------------------------------------------------------------------
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# HolonomyAlignmentCase formal proof
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# ---------------------------------------------------------------------------
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def _encode(manifold, tokens: list[str]) -> np.ndarray:
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return holonomy_encode([manifold.get_versor(t) for t in tokens])
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def test_holonomy_alignment_case_positive_closer_than_negative():
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"""
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Crown proof case: positive aligned triple must be geometrically closer
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than the negative (misaligned) triple.
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This wraps the geometry proven in test_holonomy_resonance.py into the
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formal HolonomyAlignmentCase schema type, so the proof is both
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machine-checkable and linked to the schema's contract.
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"""
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case = HolonomyAlignmentCase(
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case_id="HAC-001",
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description=(
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"Aligned Logos clause (word/דבר/λόγος + beginning/ראשית/ἀρχή + truth/אמת/ἀλήθεια) "
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"produces closer holonomies across three languages than a misaligned clause "
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"substituting ζωή (vitality) for ἀλήθεια (truth)."
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),
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source_refs=("Gen1:1", "John1:1", "John14:6"),
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pack_ids=("en_minimal_v1", "he_logos_micro_v1", "grc_logos_micro_v1"),
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expected_relation="cross_lang.closer_than_negative",
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negative_source_refs=("John1:4",),
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tolerance=0.0,
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)
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# Validate the case schema itself
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assert case.case_id == "HAC-001"
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assert len(case.pack_ids) == 3
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assert len(case.source_refs) >= 2
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# Load packs
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_, en = load_pack("en_minimal_v1")
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_, he = load_pack("he_logos_micro_v1")
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_, grc = load_pack("grc_logos_micro_v1")
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# Positive triple: aligned canonical clause across all three languages
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en_h = _encode(en, ["word", "beginning", "truth"])
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he_h = _encode(he, ["\u05d3\u05d1\u05e8", "\u05e8\u05d0\u05e9\u05d9\u05ea", "\u05d0\u05de\u05ea"])
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grc_h = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u1f00\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1"])
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# Negative: replace ἀλήθεια with ζωή — different semantic domain
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grc_neg_h = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u03b6\u03c9\u03ae"])
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# Positive score: mean distance of aligned cross-language pair
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positive_dist = (
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np.linalg.norm(en_h - he_h) +
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np.linalg.norm(en_h - grc_h) +
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np.linalg.norm(he_h - grc_h)
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) / 3.0
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# Negative score: distance when Greek clause uses misaligned token
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negative_dist = (
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np.linalg.norm(en_h - he_h) +
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np.linalg.norm(en_h - grc_neg_h) +
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np.linalg.norm(he_h - grc_neg_h)
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) / 3.0
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# The formal case assertion: aligned closer than misaligned
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assert positive_dist < negative_dist, (
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f"HolonomyAlignmentCase {case.case_id} failed: "
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f"positive_dist={positive_dist:.6f} >= negative_dist={negative_dist:.6f}. "
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f"Case: {case.description}"
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)
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def test_holonomy_alignment_case_schema_validation():
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"""HolonomyAlignmentCase must reject under-specified instances."""
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with pytest.raises(ValueError, match="at least two source_refs"):
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HolonomyAlignmentCase(
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case_id="BAD-001",
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description="missing refs",
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source_refs=("Gen1:1",), # only one
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pack_ids=("en_minimal_v1", "he_logos_micro_v1"),
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expected_relation="cross_lang.closer_than_negative",
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)
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with pytest.raises(ValueError, match="at least two pack_ids"):
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HolonomyAlignmentCase(
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case_id="BAD-002",
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description="missing packs",
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source_refs=("Gen1:1", "John1:1"),
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pack_ids=("en_minimal_v1",), # only one
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expected_relation="cross_lang.closer_than_negative",
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)
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