SYMBOL INDEX (48 symbols across 5 files)

FILE: pyshamir/_utils.py
  function add (line 7) | def add(a: int, b: int) -> int:
  function inverse (line 15) | def inverse(a: int) -> int:
  function mul (line 29) | def mul(a: int, b: int) -> int:
  function div (line 45) | def div(a: int, b: int) -> int:
  class Polynomial (line 59) | class Polynomial:
    method __init__ (line 62) | def __init__(self, degree: int) -> None:
    method evaluate (line 65) | def evaluate(self, x: int) -> int:
  function make_polynomial (line 79) | def make_polynomial(intercept: int, degree: int) -> Polynomial:
  function interpolate_polynomial (line 97) | def interpolate_polynomial(x_samples: bytearray, y_samples: bytearray, x...
  function generate_x_coordinates (line 114) | def generate_x_coordinates(n: int) -> list[int]:

FILE: pyshamir/shamir.py
  function combine (line 6) | def combine(parts: list[bytearray]) -> bytearray:
  function split (line 59) | def split(secret: bytes, parts: int, threshold: int) -> list[bytearray]:

FILE: tests/test_shamir.py
  function test_split_returns_correct_part_count_and_length (line 14) | def test_split_returns_correct_part_count_and_length():
  function test_split_produces_distinct_parts (line 21) | def test_split_produces_distinct_parts():
  function test_split_invalid_arguments (line 35) | def test_split_invalid_arguments(parts, threshold, message):
  function test_split_invalid_secret (line 41) | def test_split_invalid_secret(secret):
  function test_combine_recovers_secret_from_any_threshold_subset (line 51) | def test_combine_recovers_secret_from_any_threshold_subset(indices):
  function test_combine_with_too_few_parts (line 58) | def test_combine_with_too_few_parts(parts):
  function test_combine_with_mismatched_part_lengths (line 63) | def test_combine_with_mismatched_part_lengths():
  function test_combine_with_too_short_parts (line 68) | def test_combine_with_too_short_parts():
  function test_combine_with_duplicate_samples (line 73) | def test_combine_with_duplicate_samples():

FILE: tests/test_utils.py
  function test_add_is_xor (line 30) | def test_add_is_xor(a, b):
  function test_add_zero_is_identity (line 34) | def test_add_zero_is_identity():
  function test_add_self_is_zero (line 40) | def test_add_self_is_zero():
  function test_mul_zero_annihilates (line 48) | def test_mul_zero_annihilates():
  function test_mul_one_is_identity (line 54) | def test_mul_one_is_identity():
  function test_mul_known_vectors (line 73) | def test_mul_known_vectors(a, b, expected):
  function test_mul_is_commutative (line 77) | def test_mul_is_commutative():
  function test_inverse_times_self_is_one (line 86) | def test_inverse_times_self_is_one():
  function test_inverse_of_zero_is_zero (line 91) | def test_inverse_of_zero_is_zero():
  function test_div_by_zero_raises (line 100) | def test_div_by_zero_raises():
  function test_div_zero_numerator_returns_zero (line 105) | def test_div_zero_numerator_returns_zero():
  function test_div_inverts_mul (line 110) | def test_div_inverts_mul():
  function test_polynomial_evaluate_at_zero_returns_intercept (line 119) | def test_polynomial_evaluate_at_zero_returns_intercept():
  function test_polynomial_evaluate_matches_manual_horner (line 129) | def test_polynomial_evaluate_matches_manual_horner(x):
  function test_make_polynomial_sets_intercept_and_size (line 148) | def test_make_polynomial_sets_intercept_and_size():
  function test_interpolate_recovers_intercept (line 158) | def test_interpolate_recovers_intercept(intercept):
  function test_generate_x_coordinates_returns_permutation (line 169) | def test_generate_x_coordinates_returns_permutation():
  function test_generate_x_coordinates_is_shuffled (line 176) | def test_generate_x_coordinates_is_shuffled():

FILE: tests/test_utils_properties.py
  function test_add_is_commutative (line 33) | def test_add_is_commutative(a: int, b: int) -> None:
  function test_add_is_associative (line 38) | def test_add_is_associative(a: int, b: int, c: int) -> None:
  function test_add_zero_is_identity (line 43) | def test_add_zero_is_identity(a: int) -> None:
  function test_mul_is_commutative (line 51) | def test_mul_is_commutative(a: int, b: int) -> None:
  function test_mul_distributes_over_add (line 56) | def test_mul_distributes_over_add(a: int, b: int, c: int) -> None:
  function test_mul_one_is_identity (line 61) | def test_mul_one_is_identity(a: int) -> None:
  function test_inverse_is_multiplicative_inverse (line 69) | def test_inverse_is_multiplicative_inverse(a: int) -> None:
  function test_div_inverts_mul (line 74) | def test_div_inverts_mul(a: int, b: int) -> None:
  function test_interpolate_recovers_intercept (line 83) | def test_interpolate_recovers_intercept(intercept: int, degree: int) -> ...