### BIG NUM MATH
Library for computations on large numbers.
- development notes:
1. upcomming functions: greatest common divisor
2. planned optimizations (memory consumption [half memory requirement])
- functions only:
- addition +substraction,
- multiplication +division (with remainder)
- relation and decimal relation operators
- order of magnitude
- power +nth root
- integer square root
- primality check
- prime number generator (primitive number types only)
### Usage Samples
##### power
```rust
let row = PlacesRow::new_from_u128(u128::MAX);
let pow = pow(&row, 500);
let number = pow.to_number();
assert!(number.starts_with("8312324609993336522"));
assert_eq!(19266, number.len());
```
##### division with remainder
```rust
let dividend = PlacesRow::new_from_str("3402823669209384634633746074317682114565556668744123").unwrap();
let divisor = PlacesRow::new_from_str( "14034568236692093846346337460345176821145655563453").unwrap();
let ratio = "242";
let remainder = "6458155929897923817932408914149323848308022388497";
let ratrem = divrem(÷nd, &divisor).unwrap();
assert_eq!(ratio, ratrem.0.to_number());
assert_eq!(remainder, ratrem.1.to_number());
```
```rust
let dividend = Row::new_from_str("99999340282366920938463463374607431768211455").unwrap();
let divisor = Row::new_from_usize(249);
let ratio = Row::new_from_str("401603776234405304973748848894005750073138").unwrap();
let remainder = Row::new_from_usize(93);
let ratrem = divrem(÷nd, &divisor).unwrap();
assert_eq!(ratio, ratrem.0);
assert_eq!(remainder, ratrem.1);
```
##### decimal places relation
```rust
let number = Row::new_from_str("1489754132134687989463132131").unwrap();
let comparand = Row::new_from_str( "48645698946456531371").unwrap();
let decrel = rel_dec(&number, &comparand);
assert_eq!(RelDec::Greater((28, 20, 8)), decrel);
```
##### order of magnitude
```rust
let number_1 = PlacesRow::new_from_u128(3162277660168379331998893544432);
let number_2 = PlacesRow::new_from_u128(3162277660168379331998893544433);
assert_eq!(Oom::Precise(30), ord_of_mag(&number_1, OomClass::Strict));
assert_eq!(Oom::Precise(31), ord_of_mag(&number_2, OomClass::Strict));
assert_eq!(Oom::Precise(30), ord_of_mag(&number_2, OomClass::Loose));
```
##### square root
```rust
let radicand = Row::new_from_str("9754610577924096936222542295378750190521").unwrap();
let test = Row::new_from_u128(98_765_432_100_123_456_789);
assert_eq!(test, heron_sqrt(&radicand));
```
##### primality check
```rust
let num = Row::new_from_str("340282366920938463463374607431768211479").unwrap();
let limit = Duration::from_secs(3);
assert_eq!(Some(false), prime_ck(&num, Some(limit)));
```
##### prime number generation
```rust
let limit = Duration::from_secs(60);
```
##### nth root
```rust
let test = PlacesRow::new_from_usize(99_999_999);
let radicand = PlacesRow::new_from_str(
"999999910000003599999916000001259999987400000083999999640000000899999999",
)
.unwrap();
assert_eq!(Some(test), root(&radicand, 9));
```