comments added to declaration file

This commit is contained in:
Juanelas 2023-06-28 18:21:21 +02:00
parent 75b3dcf61b
commit b365f49816
4 changed files with 141 additions and 20 deletions

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@ -21,6 +21,7 @@ const tsConfig = parseJsonSourceFileConfigFileContent(configFile, sys, dirname(t
export const compile = (outDir) => {
const compilerOptions = {
...tsConfig.options,
removeComments: false,
declaration: true,
declarationMap: true,
emitDeclarationOnly: true,

120
dist/index.d.ts vendored
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@ -1,7 +1,32 @@
/**
* Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
*
* @param a
*
* @returns The absolute value of a
*/
declare function abs(a: number | bigint): number | bigint;
/**
* Returns the (minimum) length of a number expressed in bits.
*
* @param a
* @returns The bit length
*/
declare function bitLength(a: number | bigint): number;
/**
* Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1). Provided that n_i are pairwise coprime, and a_i any integers, this function returns a solution for the following system of equations:
x a_1 mod n_1
x a_2 mod n_2
x a_k mod n_k
*
* @param remainders the array of remainders a_i. For example [17n, 243n, 344n]
* @param modulos the array of modulos n_i. For example [769n, 2017n, 47701n]
* @param modulo the product of all modulos. Provided here just to save some operations if it is already known
* @returns x
*/
declare function crt(remainders: bigint[], modulos: bigint[], modulo?: bigint): bigint;
interface Egcd {
@ -9,29 +34,124 @@ interface Egcd {
x: bigint;
y: bigint;
}
/**
* An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
* Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
*
* @param a
* @param b
*
* @throws {@link RangeError} if a or b are <= 0
*
* @returns A triple (g, x, y), such that ax + by = g = gcd(a, b).
*/
declare function eGcd(a: number | bigint, b: number | bigint): Egcd;
/**
* Greatest common divisor of two integers based on the iterative binary algorithm.
*
* @param a
* @param b
*
* @returns The greatest common divisor of a and b
*/
declare function gcd(a: number | bigint, b: number | bigint): bigint;
/**
* The least common multiple computed as abs(a*b)/gcd(a,b)
* @param a
* @param b
*
* @returns The least common multiple of a and b
*/
declare function lcm(a: number | bigint, b: number | bigint): bigint;
/**
* Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<b
*
* @param a
* @param b
*
* @returns Maximum of numbers a and b
*/
declare function max(a: number | bigint, b: number | bigint): number | bigint;
/**
* Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<b
*
* @param a
* @param b
*
* @returns Minimum of numbers a and b
*/
declare function min(a: number | bigint, b: number | bigint): number | bigint;
/**
* Modular addition of (a_1 + ... + a_r) mod n
* @param addends an array of the numbers a_i to add. For example [3, 12353251235n, 1243, -12341232545990n]
* @param n the modulo
* @returns The smallest positive integer that is congruent with (a_1 + ... + a_r) mod n
*/
declare function modAdd(addends: Array<number | bigint>, n: number | bigint): bigint;
/**
* Modular inverse.
*
* @param a The number to find an inverse for
* @param n The modulo
*
* @throws {@link RangeError} if a does not have inverse modulo n
*
* @returns The inverse modulo n
*/
declare function modInv(a: number | bigint, n: number | bigint): bigint;
/**
* Modular addition of (a_1 * ... * a_r) mod n
* @param factors an array of the numbers a_i to multiply. For example [3, 12353251235n, 1243, -12341232545990n]
* @param n the modulo
* @returns The smallest positive integer that is congruent with (a_1 * ... * a_r) mod n
*/
declare function modMultiply(factors: Array<number | bigint>, n: number | bigint): bigint;
type PrimePower = [number | bigint, number | bigint];
type PrimeFactor = number | bigint | PrimePower;
/**
* Modular exponentiation b**e mod n. Currently using the right-to-left binary method if the prime factorization is not provided, or the chinese remainder theorem otherwise.
*
* @param b base
* @param e exponent
* @param n modulo
* @param primeFactorization an array of the prime factors, for example [5n, 5n, 13n, 27n], or prime powers as [p, k], for instance [[5, 2], [13, 1], [27, 1]]. If the prime factorization is provided the chinese remainder theorem is used to greatly speed up the exponentiation.
*
* @throws {@link RangeError} if n <= 0
*
* @returns b**e mod n
*/
declare function modPow(b: number | bigint, e: number | bigint, n: number | bigint, primeFactorization?: PrimeFactor[]): bigint;
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 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))
*/
declare function phi(primeFactorization: PrimeFactorization): bigint;
/**
* Finds the smallest positive element that is congruent to a in modulo n
*
* @remarks
* a and b must be the same type, either number or bigint
*
* @param a - An integer
* @param n - The modulo
*
* @throws {@link RangeError} if n <= 0
*
* @returns A bigint with the smallest positive representation of a modulo n
*/
declare function toZn(a: number | bigint, n: number | bigint): bigint;
export { Egcd, PrimeFactor, PrimeFactorization, PrimePower, abs, bitLength, crt, eGcd, gcd, lcm, max, min, modAdd, modInv, modMultiply, modPow, phi, toZn };

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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/06b32a3/src/ts/modPow.ts#L8)
[modPow.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/modPow.ts#L8)
___
@ -49,7 +49,7 @@ ___
#### Defined in
[phi.ts:1](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/phi.ts#L1)
[phi.ts:1](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/phi.ts#L1)
___
@ -59,7 +59,7 @@ ___
#### Defined in
[modPow.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/modPow.ts#L7)
[modPow.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/abs.ts#L8)
[abs.ts:8](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/bitLength.ts#L7)
[bitLength.ts:7](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/bitLength.ts#L7)
___
@ -137,7 +137,7 @@ x
#### Defined in
[crt.ts:16](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/crt.ts#L16)
[crt.ts:16](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/egcd.ts#L17)
[egcd.ts:17](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/gcd.ts#L11)
[gcd.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/lcm.ts#L11)
[lcm.ts:11](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/max.ts#L9)
[max.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/min.ts#L9)
[min.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/modAdd.ts#L9)
[modAdd.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/modInv.ts#L14)
[modInv.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/modMultiply.ts#L9)
[modMultiply.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/modPow.ts#L22)
[modPow.ts:22](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/modPow.ts#L22)
___
@ -402,7 +402,7 @@ phi((p1**k1)*(p2**k2)*...*(pr**kr))
#### Defined in
[phi.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/phi.ts#L9)
[phi.ts:9](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/toZn.ts#L14)
[toZn.ts:14](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/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/06b32a3/src/ts/egcd.ts#L2)
[egcd.ts:2](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/egcd.ts#L2)
___
@ -26,7 +26,7 @@ ___
#### Defined in
[egcd.ts:3](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/egcd.ts#L3)
[egcd.ts:3](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/egcd.ts#L3)
___
@ -36,4 +36,4 @@ ___
#### Defined in
[egcd.ts:4](https://github.com/juanelas/bigint-mod-arith/blob/06b32a3/src/ts/egcd.ts#L4)
[egcd.ts:4](https://github.com/juanelas/bigint-mod-arith/blob/75b3dcf/src/ts/egcd.ts#L4)