Module malachite_base::num::arithmetic::sqrt

Traits for taking the square root of a number.

The traits are FloorSqrt, FloorSqrtAssign, CeilingSqrt, CeilingSqrtAssign, CheckedSqrt, SqrtRem, SqrtAssignRem, and SqrtAssign.

floor_sqrt

use malachite_base::num::arithmetic::traits::FloorSqrt;

assert_eq!(99u8.floor_sqrt(), 9);
assert_eq!(100u8.floor_sqrt(), 10);
assert_eq!(101u8.floor_sqrt(), 10);
assert_eq!(1000000000i32.floor_sqrt(), 31622);
assert_eq!(10000000000i64.floor_sqrt(), 100000);

floor_sqrt_assign

use malachite_base::num::arithmetic::traits::FloorSqrtAssign;

let mut x = 99u8;
x.floor_sqrt_assign();
assert_eq!(x, 9);

let mut x = 100u8;
x.floor_sqrt_assign();
assert_eq!(x, 10);

let mut x = 101u8;
x.floor_sqrt_assign();
assert_eq!(x, 10);

let mut x = 1000000000i32;
x.floor_sqrt_assign();
assert_eq!(x, 31622);

let mut x = 10000000000i64;
x.floor_sqrt_assign();
assert_eq!(x, 100000);

ceiling_sqrt

use malachite_base::num::arithmetic::traits::CeilingSqrt;

assert_eq!(99u8.ceiling_sqrt(), 10);
assert_eq!(100u8.ceiling_sqrt(), 10);
assert_eq!(101u8.ceiling_sqrt(), 11);
assert_eq!(1000000000u32.ceiling_sqrt(), 31623);
assert_eq!(10000000000u64.ceiling_sqrt(), 100000);

ceiling_sqrt_assign

use malachite_base::num::arithmetic::traits::CeilingSqrtAssign;

let mut x = 99u8;
x.ceiling_sqrt_assign();
assert_eq!(x, 10);

let mut x = 100u8;
x.ceiling_sqrt_assign();
assert_eq!(x, 10);

let mut x = 101u8;
x.ceiling_sqrt_assign();
assert_eq!(x, 11);

let mut x = 1000000000i32;
x.ceiling_sqrt_assign();
assert_eq!(x, 31623);

let mut x = 10000000000i64;
x.ceiling_sqrt_assign();
assert_eq!(x, 100000);

checked_sqrt

use malachite_base::num::arithmetic::traits::CheckedSqrt;

assert_eq!(99u8.checked_sqrt(), None);
assert_eq!(100u8.checked_sqrt(), Some(10));
assert_eq!(101u8.checked_sqrt(), None);
assert_eq!(1000000000i32.checked_sqrt(), None);
assert_eq!(10000000000i64.checked_sqrt(), Some(100000));

sqrt_rem

use malachite_base::num::arithmetic::traits::SqrtRem;

assert_eq!(99u8.sqrt_rem(), (9, 18));
assert_eq!(100u8.sqrt_rem(), (10, 0));
assert_eq!(101u8.sqrt_rem(), (10, 1));
assert_eq!(1000000000u32.sqrt_rem(), (31622, 49116));
assert_eq!(10000000000u64.sqrt_rem(), (100000, 0));

sqrt_assign_rem

use malachite_base::num::arithmetic::traits::SqrtAssignRem;

let mut x = 99u8;
assert_eq!(x.sqrt_assign_rem(), 18);
assert_eq!(x, 9);

let mut x = 100u8;
assert_eq!(x.sqrt_assign_rem(), 0);
assert_eq!(x, 10);

let mut x = 101u8;
assert_eq!(x.sqrt_assign_rem(), 1);
assert_eq!(x, 10);

let mut x = 1000000000u32;
assert_eq!(x.sqrt_assign_rem(), 49116);
assert_eq!(x, 31622);

let mut x = 10000000000u64;
assert_eq!(x.sqrt_assign_rem(), 0);
assert_eq!(x, 100000);

sqrt_assign

use malachite_base::num::arithmetic::traits::SqrtAssign;
use malachite_base::num::float::NiceFloat;

let mut x = 4.0f64;
x.sqrt_assign();
assert_eq!(NiceFloat(x), NiceFloat(2.0));

let mut x = 2.0f64;
x.sqrt_assign();
assert_eq!(NiceFloat(x), NiceFloat(1.4142135623730951));