Module Algebra

Algebraic manipulations.

preferred

Index

Functions

Functions

factor

factor(n: number): Generator<number, void, unknown>

- Defined in src/algebra.ts:202
Returns a generator with a number's factors. Uses a pre-computed sieve up to 16K, then Brent's algorithm, which has a small chance of failing

Parameters
- n: number
  
  The number to be factored.
Returns Generator<number, void, unknown>

gcd

gcd(a: number, b: number): number
gcd(a: bigint, b: bigint): bigint

- Defined in src/algebra.ts:102
GCD, for either two numbers or two BigInts.

Parameters
- a: number
- b: number
Returns number
- Defined in src/algebra.ts:103
Parameters
- a: bigint
- b: bigint
Returns bigint

Const isComposite

isComposite(n: number): boolean

- Defined in src/algebra.ts:53
The Miller Rabin algorithm. The opposite of [isPrime].

For the moment, due to lack of universal BigInt support and unlikeliness of need, we accept that it will be inaccurate on platforms w/o BigInt (e.g. Safari) above 94906265 (Math.floor(Math.sqrt(Number.MAX_SAFE_INTEGER)).

arg

n the number to be tested for primality.

Parameters
- n: number
Returns boolean

true if n is prime, else returns false

Const isPrime

isPrime(n: number): boolean

- Defined in src/algebra.ts:24
The Miller Rabin algorithm.

For the moment, due to lack of universal BigInt support and unlikeliness of need, we accept that it will be inaccurate on platforms w/o BigInt (e.g. Safari) above 94906265 (Math.floor(Math.sqrt(Number.MAX_SAFE_INTEGER)).

arg

n the number to be tested for primality.

Parameters
- n: number
Returns boolean

true if n is prime, else returns false

sieve

sieve(lim: number): Generator<number, void, unknown>

- Defined in src/algebra.ts:173
Parameters
- lim: number
Returns Generator<number, void, unknown>

xgcd

xgcd(a: number, b: number): [number, number, number]
xgcd(a: bigint, b: bigint): [bigint, bigint, bigint]

- Defined in src/algebra.ts:126
Extended GCD

Parameters
- a: number
- b: number
Returns [number, number, number]

such that gcdfactor_a = a, gcdfactor_b = b.
- Defined in src/algebra.ts:127
Parameters
- a: bigint
- b: bigint
Returns [bigint, bigint, bigint]

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