More fun with roman numbers

This commit is contained in:
Dan Buch 2023-10-20 10:38:20 -04:00
parent accf0d0c2b
commit 5b55118373
Signed by: meatballhat
GPG Key ID: A12F782281063434
3 changed files with 78 additions and 3 deletions

View File

@ -78,12 +78,12 @@ all = [
[tool.black]
target-version = ["py37"]
line-length = 120
line-length = 90
skip-string-normalization = true
[tool.ruff]
target-version = "py37"
line-length = 120
line-length = 90
select = [
"A",
"ARG",

View File

@ -36,7 +36,9 @@ def gen_sqrt_check(n: int) -> typing.Callable[[float], int]:
return check
def find_bisect(lower: float, upper: float, check: typing.Callable[[float], int]) -> float:
def find_bisect(
lower: float, upper: float, check: typing.Callable[[float], int]
) -> float:
mid: float = lower + ((upper - lower) / 2)
print(f"lower={lower} mid={mid} upper={upper}")
@ -72,3 +74,64 @@ def cartesian_path(p0: tuple[int, int], p1: tuple[int, int]) -> list[tuple[int,
def gen_matrix(width: int, height: int) -> list[list[int]]:
return [list(range(width)) for _ in range(height)]
class Roman:
SIMPLE = {
"I": 1,
"V": 5,
"X": 10,
"L": 50,
"C": 100,
"D": 500,
"M": 1000,
}
SIMPLE_REVERSE = {v: k for k, v in SIMPLE.items()}
COMPOUND = {
"IV": 4,
"IX": 9,
"XL": 40,
"XC": 90,
"CD": 400,
"CM": 900,
}
PREFIXES = {k[0] for k in COMPOUND.keys()}
COMPOUND_REVERSE = {v: k for k, v in COMPOUND.items()}
ALL = SIMPLE | COMPOUND
ALL_REVERSE = {v: k for k, v in ALL.items()}
@classmethod
def i2r(cls, i: int) -> str:
r: list[str] = []
for int_val, roman_val in sorted(cls.ALL_REVERSE.items(), reverse=True):
remainder = i % int_val
r += [roman_val] * int((i - remainder) / int_val)
i = remainder
return "".join(r)
@classmethod
def r2i(cls, r: str) -> int:
total = 0
offset = 0
for i in range(len(r)):
if i + offset > len(r) - 1:
break
c = r[i + offset]
if (
c in cls.PREFIXES
and (i + offset + 1) < len(r)
and c + r[i + offset + 1] in cls.ALL
):
total += cls.ALL[c + r[i + offset + 1]]
offset += 1
continue
total += cls.ALL[c]
return total

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@ -16,3 +16,15 @@ import stuff
)
def test_find_sqrt_ish(n: int, expected: int):
assert stuff.find_sqrt_ish(n) == expected
@pytest.mark.parametrize(
("n", "expected"),
[
(3, "III"),
(58, "LVIII"),
(1994, "MCMXCIV"),
],
)
def test_int_to_roman(n: int, expected: str):
assert stuff.Roman.i2r(n) == expected