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ares/rust/ibig-rs/tests/modular.rs
Philip Monk 63361cb4a0 [ares] vendor ibig-rs with our changes
2023-02-23 20:50:46 -07:00

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use ibig::{ibig, modular::ModuloRing, ubig};
#[test]
fn test_modulus() {
let ring = ModuloRing::new(&ubig!(100));
assert_eq!(ring.modulus(), ubig!(100));
let ring = ModuloRing::new(&ubig!(10).pow(100));
assert_eq!(ring.modulus(), ubig!(10).pow(100));
}
#[test]
fn test_clone() {
let ring1 = ModuloRing::new(&ubig!(100));
let x = ring1.from(512);
let y = x.clone();
assert_eq!(x, y);
let mut z = ring1.from(513);
assert_ne!(x, z);
z.clone_from(&x);
assert_eq!(x, z);
let ring2 = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let x = ring2.from(512);
let y = x.clone();
assert_eq!(x, y);
let mut z = ring2.from(513);
assert_ne!(x, z);
z.clone_from(&x);
assert_eq!(x, z);
let mut x = ring1.from(512);
let y = ring2.from(1);
x.clone_from(&y);
assert_eq!(x, y);
let ring3 = ModuloRing::new(&ubig!(10).pow(100));
let x = ring2.from(1);
let mut y = ring3.from(2);
y.clone_from(&x);
assert_eq!(x, y);
}
#[test]
fn test_convert() {
let ring = ModuloRing::new(&ubig!(100));
let x = ring.from(6);
assert_eq!(x, ring.from(&ubig!(306)));
assert_ne!(x, ring.from(&ubig!(313)));
assert_eq!(x, ring.from(&ubig!(_18297381723918723981723981723906)));
assert_ne!(x, ring.from(&ubig!(_18297381723918723981723981723913)));
assert_eq!(x, ring.from(ubig!(_18297381723918723981723981723906)));
assert_eq!(x, ring.from(ibig!(_18297381723918723981723981723906)));
assert_eq!(x, ring.from(ibig!(-_18297381723918723981723981723994)));
assert_eq!(x, ring.from(&ibig!(-_18297381723918723981723981723994)));
assert_eq!(x, ring.from(106u8));
assert_eq!(x, ring.from(106u16));
assert_eq!(x, ring.from(1006u32));
assert_eq!(x, ring.from(10000000006u64));
assert_eq!(x, ring.from(1000000000000000000006u128));
assert_eq!(x, ring.from(106usize));
assert_eq!(x, ring.from(6i8));
assert_eq!(x, ring.from(-94i8));
assert_eq!(x, ring.from(-94i16));
assert_eq!(x, ring.from(-94i32));
assert_eq!(x, ring.from(-94i64));
assert_eq!(x, ring.from(-94i128));
assert_eq!(x, ring.from(-94isize));
assert_eq!(ring.from(0), ring.from(false));
assert_eq!(ring.from(1), ring.from(true));
let ring = ModuloRing::new(&ubig!(
_1000000000000000000000000000000000000000000000000000000000000
));
let x = ring.from(6);
let y = ring.from(ubig!(_333333333333333333333333333333));
assert_eq!(
x,
ring.from(ubig!(
_1000000000000000000000000000000000000000000000000000000000006
))
);
assert_eq!(
x,
ring.from(&ubig!(
_1000000000000000000000000000000000000000000000000000000000006
))
);
assert_ne!(
x,
ring.from(ubig!(
_1000000000000000000000000000000000000000000000000000000000007
))
);
assert_eq!(
y,
ring.from(ubig!(
_7000000000000000000000000000000333333333333333333333333333333
))
);
}
#[test]
fn test_negate() {
let ring = ModuloRing::new(&ubig!(100));
let x = ring.from(-1234);
let y = -&x;
assert_eq!(y.residue(), ubig!(34));
let y = -x;
assert_eq!(y.residue(), ubig!(34));
let ring = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let x = ring.from(ibig!(-_33333123456789012345678901234567890));
let y = -&x;
assert_eq!(y, ring.from(ubig!(_44444123456789012345678901234567890)));
assert_eq!(y.residue(), ubig!(_123456789012345678901234567890));
let y = -x;
assert_eq!(y, ring.from(ubig!(_44444123456789012345678901234567890)));
}
#[test]
#[allow(clippy::eq_op)]
fn test_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(100));
assert_eq!(ring1, ring1);
assert_ne!(ring1, ring2);
}
#[test]
#[should_panic]
fn test_cmp_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(200));
let x = ring1.from(5);
let y = ring2.from(5);
let _ = x == y;
}
#[test]
fn test_add_sub() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let test_cases = [
(ring1.from(1), ring1.from(2), ring1.from(3)),
(ring1.from(99), ring1.from(5), ring1.from(4)),
(ring1.from(99), ring1.from(99), ring1.from(98)),
(
ring2.from(ubig!(111111111111111111111111111111)),
ring2.from(ubig!(222222222222222223333333333333)),
ring2.from(ubig!(333333333333333334444444444444)),
),
(
ring2.from(ubig!(111111111111111111111111111111)),
ring2.from(ubig!(888888888888888888888888888889)),
ring2.from(ubig!(0)),
),
(
ring2.from(ubig!(999999999999999999999999999999)),
ring2.from(ubig!(999999999999999999999999999997)),
ring2.from(ubig!(999999999999999999999999999996)),
),
];
let all_test_cases = test_cases
.iter()
.map(|(a, b, c)| (a, b, c))
.chain(test_cases.iter().map(|(a, b, c)| (b, a, c)));
for (a, b, c) in all_test_cases {
assert_eq!(a + b, *c);
assert_eq!(a.clone() + b, *c);
assert_eq!(a + b.clone(), *c);
assert_eq!(a.clone() + b.clone(), *c);
let mut x = a.clone();
x += b;
assert_eq!(x, *c);
let mut x = a.clone();
x += b.clone();
assert_eq!(x, *c);
assert_eq!(c - a, *b);
assert_eq!(c.clone() - a, *b);
assert_eq!(c - a.clone(), *b);
assert_eq!(c.clone() - a.clone(), *b);
let mut x = c.clone();
x -= a;
assert_eq!(x, *b);
let mut x = c.clone();
x -= a.clone();
assert_eq!(x, *b);
}
}
#[test]
fn test_mul() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let big = ubig!(10).pow(10000);
let ring3 = ModuloRing::new(&big);
let test_cases = [
(ring1.from(23), ring1.from(96), ring1.from(8)),
(
ring2.from(ubig!(_46301564276035228370597101114)),
ring2.from(ubig!(_170100953649249045221461413048)),
ring2.from(ubig!(_399394418012748758198974935472)),
),
(
ring3.from(&big - ubig!(1)),
ring3.from(&big - ubig!(1)),
ring3.from(1),
),
];
let all_test_cases = test_cases
.iter()
.map(|(a, b, c)| (a, b, c))
.chain(test_cases.iter().map(|(a, b, c)| (b, a, c)));
for (a, b, c) in all_test_cases {
assert_eq!(a * b, *c);
assert_eq!(a.clone() * b, *c);
assert_eq!(a * b.clone(), *c);
assert_eq!(a.clone() * b.clone(), *c);
let mut x = a.clone();
x *= b;
assert_eq!(x, *c);
let mut x = a.clone();
x *= b.clone();
assert_eq!(x, *c);
}
}
#[test]
fn test_inverse() {
let ring = ModuloRing::new(&ubig!(1));
assert_eq!(ring.from(0).inverse(), Some(ring.from(0)));
let ring = ModuloRing::new(&ubig!(100));
let x = ring.from(9);
let y = x.inverse().unwrap();
assert_eq!(x * y, ring.from(1));
assert!(ring.from(10).inverse().is_none());
let ring = ModuloRing::new(&ubig!(103));
assert_eq!(ring.from(20).inverse(), Some(ring.from(67))); // inverse is unique for prime modulus
let ring = ModuloRing::new(&ubig!(1000000000000000000000000000000));
let x = ring.from(ibig!(3333312345678901234567890123456789));
let y = x.inverse().unwrap();
assert_eq!(x * y, ring.from(1));
assert!(ring.from(10).inverse().is_none());
let ring = ModuloRing::new(&ubig!(1000000000000000000000000000057)); // prime
assert_eq!(
ring.from(123456789).inverse(),
Some(ring.from(ubig!(951144331155413413514262063034)))
);
}
#[test]
fn test_div() {
let ring = ModuloRing::new(&ubig!(1));
assert_eq!(ring.from(0) / ring.from(0), ring.from(0));
let ring = ModuloRing::new(&ubig!(10));
// 2 / 3 == 4
let a = ring.from(2);
let b = ring.from(3);
let res = ring.from(4);
assert_eq!(a.clone() / b.clone(), res);
assert_eq!(a.clone() / &b, res);
assert_eq!(&a / b.clone(), res);
assert_eq!(&a / &b, res);
let mut a = ring.from(2);
a /= b.clone();
assert_eq!(a, res);
let mut a = ring.from(2);
a /= &b;
assert_eq!(a, res);
}
#[test]
#[should_panic]
fn test_add_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(200));
let x = ring1.from(5);
let y = ring2.from(5);
let _ = x + y;
}
#[test]
#[should_panic]
fn test_sub_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(200));
let x = ring1.from(5);
let y = ring2.from(5);
let _ = x - y;
}
#[test]
#[should_panic]
fn test_mul_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(200));
let x = ring1.from(5);
let y = ring2.from(5);
let _ = x * y;
}
#[test]
#[should_panic]
fn test_div_different_rings() {
let ring1 = ModuloRing::new(&ubig!(100));
let ring2 = ModuloRing::new(&ubig!(200));
let x = ring1.from(1);
let y = ring2.from(1);
let _ = x / y;
}
#[test]
#[should_panic]
fn test_div_by_noninvertible() {
let ring = ModuloRing::new(&ubig!(100));
let x = ring.from(10);
let y = ring.from(2);
let _ = x / y;
}
#[test]
fn test_pow() {
let ring = ModuloRing::new(&ubig!(100));
assert_eq!(ring.from(0).pow(&ubig!(0)), ring.from(1));
assert_eq!(ring.from(13).pow(&ubig!(0)), ring.from(1));
assert_eq!(ring.from(13).pow(&ubig!(1)), ring.from(13));
assert_eq!(ring.from(13).pow(&ubig!(2)), ring.from(69));
assert_eq!(ring.from(13).pow(&ubig!(12837918273)), ring.from(53));
assert_eq!(
ring.from(13)
.pow(&((ubig!(1) << 10000) * ubig!(40) + ubig!(3))),
ring.from(97)
);
let ring = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let x = ring.from(ubig!(_658571505947767552546868380533));
assert_eq!(x.pow(&ubig!(0)), ring.from(1));
assert_eq!(x.pow(&ubig!(1)), x);
assert_eq!(
x.pow(&ubig!(_794990856522773482558337459018)),
ring.from(ubig!(_660533815789733011052086421209))
);
// A Mersenne prime.
let prime = ubig!(2).pow(4423) - ubig!(1);
let ring = ModuloRing::new(&prime);
// Fermat theorem: a^(p-1) = 1
assert_eq!(ring.from(13).pow(&(prime - ubig!(1))), ring.from(1));
}
#[test]
fn test_pow_signed() {
let ring = ModuloRing::new(&ubig!(100));
assert_eq!(ring.from(2).pow_signed(&ibig!(10)), ring.from(24));
assert_eq!(ring.from(3).pow_signed(&ibig!(-3)), ring.from(63));
}
#[test]
#[should_panic]
fn test_pow_signed_noninvertible() {
let ring = ModuloRing::new(&ubig!(100));
let _ = ring.from(2).pow_signed(&ibig!(-2));
}
#[test]
fn test_format() {
let ring = ModuloRing::new(&ubig!(100));
let x = ring.from(105);
assert_eq!(format!("{}", ring), "mod 100");
assert_eq!(format!("{}", x), "5 (mod 100)");
assert_eq!(format!("{:?}", x), "5 (mod 100)");
assert_eq!(format!("{:=^5}", x), "==5== (mod =100=)");
assert_eq!(format!("{:b}", x), "101 (mod 1100100)");
assert_eq!(format!("{:o}", x), "5 (mod 144)");
assert_eq!(format!("{:#x}", x), "0x5 (mod 0x64)");
assert_eq!(format!("{:X}", x), "5 (mod 64)");
let ring = ModuloRing::new(&ubig!(_1000000000000000000000000000000));
let x = -ring.from(1);
assert_eq!(format!("{}", ring), "mod 1000000000000000000000000000000");
assert_eq!(
format!("{:?}", x),
"999999999999999999999999999999 (mod 1000000000000000000000000000000)"
);
assert_eq!(
format!("{:35}", x),
" 999999999999999999999999999999 (mod 1000000000000000000000000000000)"
);
assert_eq!(format!("{:b}", x),
"1100100111110010110010011100110100000100011001110100111011011110101000111111111111111111111111111111 (mod 1100100111110010110010011100110100000100011001110100111011011110101001000000000000000000000000000000)");
assert_eq!(
format!("{:#o}", x),
"0o1447626234640431647336507777777777 (mod 0o1447626234640431647336510000000000)"
);
assert_eq!(
format!("{:x}", x),
"c9f2c9cd04674edea3fffffff (mod c9f2c9cd04674edea40000000)"
);
assert_eq!(
format!("{:X}", x),
"C9F2C9CD04674EDEA3FFFFFFF (mod C9F2C9CD04674EDEA40000000)"
);
}
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