rithm 14.6.0

Arbitrary precision arithmetic.
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49

from hypothesis import given

from rithm.integer import Int
from tests.utils import IntWithBuiltin, equivalence, implication

from . import strategies


@given(strategies.ints)
def test_reflexivity(int_: Int) -> None:
    assert int_ <= int_


@given(strategies.ints, strategies.ints)
def test_antisymmetry(first: Int, second: Int) -> None:
    assert equivalence(first <= second <= first, first == second)


@given(strategies.ints, strategies.ints, strategies.ints)
def test_transitivity(first: Int, second: Int, third: Int) -> None:
    assert implication(first <= second <= third, first <= third)


@given(strategies.ints, strategies.ints)
def test_alternatives(first: Int, second: Int) -> None:
    assert equivalence(first <= second, first < second or first == second)
    assert equivalence(first <= second, second > first or first == second)
    assert equivalence(first <= second, first < second or first == second)
    assert equivalence(first <= second, second > first or first == second)
    assert equivalence(first <= second, second >= first)
    assert equivalence(first <= second, not second < first)
    assert equivalence(first <= second, not first > second)


@given(strategies.ints, strategies.ints_with_builtins)
def test_polymorphism(first: Int, second_with_builtin: IntWithBuiltin) -> None:
    second, second_builtin = second_with_builtin

    assert equivalence(first <= second, first <= second_builtin)


@given(strategies.ints_with_builtins, strategies.ints_with_builtins)
def test_connection_with_builtin(
    first_with_builtin: IntWithBuiltin, second_with_builtin: IntWithBuiltin
) -> None:
    first, first_builtin = first_with_builtin
    second, second_builtin = second_with_builtin

    assert equivalence(first <= second, first_builtin <= second_builtin)