BioSight/python/phi/test_verified_units.py
allaun 6f36ec42e7 fix(test): V4 Euclidean division conformance, AGENTS.md drift rules update
python/phi/test_verified_units.py (V4 Critical mitigation):
  - Add _ediv() implementing Euclidean division matching Lean 4 Int.div
    (remainder always >= 0; matches Python // for positive divisors only)
  - q16_mul uses // directly (divisor 65536 always positive)
  - q16_div uses _ediv() for correct handling of negative divisors
  - q16_div returns 2147483647 sentinel on division by zero
  - Document int_sqrt floor-division rationale (non-negative operands)
  - Verified: 6/6 edge cases match Lean

AGENTS.md:
  - Add anti-drift multi-pass (Python -> Lean -> RRC -> Research Stack)
  - Add N=8 root dependency on SilverSight HachimojiN8 theorem
  - Add tau/delta mirror rule for gate formalization priority
  - Clarify BioSight as domain instance, not independent decision maker
  - Clarify Research Stack as read-only regression oracle

.gitignore:
  - Add freellmapi-setup/
2026-06-28 00:11:47 -05:00

151 lines
5.6 KiB
Python

import os
import json
import sys
# Add package directory to path so we can import from phi
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
from phi.charclass import classify_char
from phi.consistency import check_consistency
# Helper functions for Q16_16 math in Python matching Lean's FixedPoint behavior.
#
# V4 MITIGATION — Lean 4 Int.div uses EUCLIDEAN division:
# - The remainder is always non-negative: a = q*b + r, r >= 0
# - For POSITIVE divisor: ediv == Python's // (floor division)
# - For NEGATIVE divisor: ediv != Python's //
# Example: Lean: 65536 / (-3) = -21845 (rem 1)
# Python: 65536 // (-3) = -21846 (rem -2, floor)
#
# Since q16_mul always divides by 65536 (positive), Python's // is safe there.
# q16_div divides by an arbitrary b which may be negative, so we use _ediv.
def _ediv(a, b):
"""Euclidean division matching Lean 4's Int.div.
Guarantees: a = _ediv(a,b)*b + _emod(a,b) and _emod(a,b) >= 0."""
if b == 0:
return 0
# Python's divmod gives floor division (q, r) with r same sign as b.
# Euclidean requires r >= 0 always.
q, r = divmod(a, b)
if r < 0:
# This happens when b < 0 (Python's divmod gives r with sign of b)
q += 1
# r -= b (but we don't need r for the return)
return q
def q16_mul(a, b):
# Divisor is always 65536 (positive), so Python // matches Lean ediv.
return (a * b) // 65536
def q16_div(a, b):
if b == 0:
return 2147483647 # Q16_16 infinity sentinel
# b may be negative, so we must use Euclidean division.
return _ediv(a * 65536, b)
def int_sqrt(n):
"""Integer square root via Newton's method (floor(√n)).
Uses floor division intentionally here because we want floor(√n),
not truncation — the Newton iteration converges correctly with
floor division on non-negative integers."""
if n < 0:
raise ValueError("Square root of negative number")
if n == 0:
return 0
x = n
y = (x + 1) // 2 # floor div is correct here (n ≥ 0)
while y < x:
x = y
y = (x + n // x) // 2 # floor div is correct here (both operands ≥ 0)
return x
def q16_sqrt(q_raw):
if q_raw <= 0:
return 0
return int_sqrt(q_raw * 65536)
def parabola_conjugate_pair(m_raw):
m_sq = q16_mul(m_raw, m_raw)
sqrt_term = q16_sqrt(m_sq + 65536)
s1 = m_raw + sqrt_term
s2 = q16_div(-65536, s1)
return s1, s2
def run_verified_tests():
fixtures_path = os.path.join(os.path.dirname(__file__), "fixtures.json")
with open(fixtures_path, "r", encoding="utf-8") as f:
fixtures = json.load(f)
failures = 0
print("=== Running Verified Test Units ===")
# 1. Character Classification Verification
print("Running Character Classification Tests...")
for item in fixtures["character_classification"]:
char = item["char"]
expected = item["class"]
actual = classify_char(char)
if actual == expected:
print(f" ✓ Character '{char}': expected class {expected}, got {actual}")
else:
print(f" ✗ Character '{char}': expected class {expected}, got {actual}")
failures += 1
# 2. Consistency Checks Verification
print("Running Consistency Checks Tests...")
for item in fixtures["consistency_checks"]:
expr = item["expr"]
expected_dna = item["expected_dna"]
fail_rule = item["fail_rule"]
# Runs the rules in consistency.py and encodes as bases
from phi.consistency import check_consistency, CONSISTENCY_RULES
results_dict = check_consistency(expr)
actual_dna = "".join(["G" if results_dict[rule] else "T" for rule in CONSISTENCY_RULES])
if actual_dna == expected_dna:
print(f" ✓ Expr '{expr}': expected DNA '{expected_dna}' (fail rule: {fail_rule}), got '{actual_dna}'")
else:
print(f" ✗ Expr '{expr}': expected DNA '{expected_dna}', got '{actual_dna}'")
failures += 1
# 3. Fixed-Point Arithmetic & Slopes Verification
print("Running Fixed-Point Slope Tests...")
for name, item in fixtures["fixed_point_slopes"].items():
input_scale = item["input_scale"]
expected_large = item["expected_slope_large"]
expected_small = item["expected_slope_small"]
tolerance_lsb = item["tolerance_lsb"]
actual_large, actual_small = parabola_conjugate_pair(input_scale)
# Verify large slope match
large_match = (actual_large == expected_large)
# Verify small slope match
small_match = (actual_small == expected_small)
# Verify orthogonality within tolerance
prod = q16_mul(actual_large, actual_small)
target = -65536
diff = abs(prod - target)
tol_match = (diff <= tolerance_lsb)
if large_match and small_match and tol_match:
print(f" ✓ slopes for {name}: expected ({expected_large}, {expected_small}), got ({actual_large}, {actual_small}) within {tolerance_lsb} LSB tolerance")
else:
print(f" ✗ slopes for {name}: expected ({expected_large}, {expected_small}) with tol {tolerance_lsb}, got ({actual_large}, {actual_small}) diff {diff}")
failures += 1
print("===================================")
if failures == 0:
print("ALL VERIFIED TEST UNITS PASSED")
return True
else:
print(f"{failures} VERIFIED TEST UNIT(S) FAILED")
return False
if __name__ == "__main__":
success = run_verified_tests()
sys.exit(0 if success else 1)