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Juanelas 2023-06-28 16:47:52 +02:00
parent fbe007f359
commit bd073bc48b
3 changed files with 22 additions and 22 deletions

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@ -39,7 +39,7 @@ Some common functions for modular arithmetic using native JS implementation of B
#### Defined in
[modPow.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/modPow.ts#L8)
[modPow.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modPow.ts#L8)
___
@ -49,7 +49,7 @@ ___
#### Defined in
phi.ts:1
[phi.ts:1](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/phi.ts#L1)
___
@ -59,7 +59,7 @@ ___
#### Defined in
[modPow.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/modPow.ts#L7)
[modPow.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modPow.ts#L7)
## Functions
@ -83,7 +83,7 @@ The absolute value of a
#### Defined in
[abs.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/abs.ts#L8)
[abs.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/abs.ts#L8)
___
@ -107,7 +107,7 @@ The bit length
#### Defined in
[bitLength.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/bitLength.ts#L7)
[bitLength.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/bitLength.ts#L7)
___
@ -137,7 +137,7 @@ x
#### Defined in
crt.ts:16
[crt.ts:16](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/crt.ts#L16)
___
@ -167,7 +167,7 @@ A triple (g, x, y), such that ax + by = g = gcd(a, b).
#### Defined in
[egcd.ts:17](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/egcd.ts#L17)
[egcd.ts:17](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/egcd.ts#L17)
___
@ -192,7 +192,7 @@ The greatest common divisor of a and b
#### Defined in
[gcd.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/gcd.ts#L11)
[gcd.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/gcd.ts#L11)
___
@ -217,7 +217,7 @@ The least common multiple of a and b
#### Defined in
[lcm.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/lcm.ts#L11)
[lcm.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/lcm.ts#L11)
___
@ -242,7 +242,7 @@ Maximum of numbers a and b
#### Defined in
[max.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/max.ts#L9)
[max.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/max.ts#L9)
___
@ -267,7 +267,7 @@ Minimum of numbers a and b
#### Defined in
[min.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/min.ts#L9)
[min.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/min.ts#L9)
___
@ -292,7 +292,7 @@ The smallest positive integer that is congruent with (a_1 + ... + a_r) mod n
#### Defined in
modAdd.ts:9
[modAdd.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modAdd.ts#L9)
___
@ -321,7 +321,7 @@ The inverse modulo n
#### Defined in
[modInv.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/modInv.ts#L14)
[modInv.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modInv.ts#L14)
___
@ -347,7 +347,7 @@ The smallest positive integer that is congruent with (a_1 * ... * a_r) mod n
#### Defined in
modMultiply.ts:9
[modMultiply.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modMultiply.ts#L9)
___
@ -378,7 +378,7 @@ b**e mod n
#### Defined in
[modPow.ts:22](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/modPow.ts#L22)
[modPow.ts:22](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/modPow.ts#L22)
___
@ -392,7 +392,7 @@ A function that computes the Euler's totien function of a number n, whose prime
| Name | Type | Description |
| :------ | :------ | :------ |
| `primeFactorization` | [`PrimeFactorization`](API.md#primefactorization) | an array of arrays containing the prime power factorization, i.e. for n = (p1**k1)*(p2**k2)*...*(pr**kr), one should provide [[p1, k1], [p2, k2], ... , [pr, kr]] |
| `primeFactorization` | [`PrimeFactorization`](API.md#primefactorization) | an array of arrays containing the prime power factorization of a number n. For example, for n = (p1**k1)*(p2**k2)*...*(pr**kr), one should provide [[p1, k1], [p2, k2], ... , [pr, kr]] |
#### Returns
@ -402,7 +402,7 @@ phi((p1**k1)*(p2**k2)*...*(pr**kr))
#### Defined in
phi.ts:9
[phi.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/phi.ts#L9)
___
@ -435,4 +435,4 @@ A bigint with the smallest positive representation of a modulo n
#### Defined in
[toZn.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/toZn.ts#L14)
[toZn.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/toZn.ts#L14)

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@ -16,7 +16,7 @@
#### Defined in
[egcd.ts:2](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/egcd.ts#L2)
[egcd.ts:2](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/egcd.ts#L2)
___
@ -26,7 +26,7 @@ ___
#### Defined in
[egcd.ts:3](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/egcd.ts#L3)
[egcd.ts:3](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/egcd.ts#L3)
___
@ -36,4 +36,4 @@ ___
#### Defined in
[egcd.ts:4](https://github.com/juanelas/bigint-mod-arith/blob/80793b3/src/ts/egcd.ts#L4)
[egcd.ts:4](https://github.com/juanelas/bigint-mod-arith/blob/fbe007f/src/ts/egcd.ts#L4)

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@ -3,7 +3,7 @@ export type PrimeFactorization = Array<[bigint, bigint]>
/**
* A function that computes the Euler's totien function of a number n, whose prime power factorization is known
*
* @param primeFactorization an array of arrays containing the prime power factorization, i.e. for n = (p1**k1)*(p2**k2)*...*(pr**kr), one should provide [[p1, k1], [p2, k2], ... , [pr, kr]]
* @param primeFactorization an array of arrays containing the prime power factorization of a number n. For example, for n = (p1**k1)*(p2**k2)*...*(pr**kr), one should provide [[p1, k1], [p2, k2], ... , [pr, kr]]
* @returns phi((p1**k1)*(p2**k2)*...*(pr**kr))
*/
export function phi (primeFactorization: PrimeFactorization): bigint {