Add two numbers together

This commit is contained in:
Jeff 2024-02-11 20:47:02 -05:00
commit 56b8abaf6d
6 changed files with 225 additions and 0 deletions

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node_modules

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{
"name": "numeric-types",
"version": "1.0.0",
"lockfileVersion": 3,
"requires": true,
"packages": {
"": {
"name": "numeric-types",
"version": "1.0.0",
"license": "ISC",
"dependencies": {
"typescript": "^5.3.3"
}
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"version": "5.3.3",
"resolved": "https://registry.npmjs.org/typescript/-/typescript-5.3.3.tgz",
"integrity": "sha512-pXWcraxM0uxAS+tN0AG/BF2TyqmHO014Z070UsJ+pFvYuRSq8KH8DmWpnbXe0pEPDHXZV3FcAbJkijJ5oNEnWw==",
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"engines": {
"node": ">=14.17"
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}
}
}

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package.json Normal file
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{
"name": "numeric-types",
"version": "1.0.0",
"description": "",
"main": "index.js",
"scripts": {
"test": "echo \"Error: no test specified\" && exit 1"
},
"author": "Jeff Lieb",
"license": "ISC",
"dependencies": {
"typescript": "^5.3.3"
}
}

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src/Addition.ts Normal file
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import { DigitsToNumber, SplitDigits, Digit, TupleForDigit } from ".";
export type Add<A extends number, B extends number> = DigitsToNumber<AddDigitArrays<SplitDigits<A>, SplitDigits<B>>> & number
type AddDigitArrays<A extends Digit[], B extends Digit[], Carry extends boolean = false> =
[A, B] extends [[...infer HeadA extends Digit[], infer TailA extends Digit], [...infer HeadB extends Digit[], infer TailB extends Digit]]
? AddTails<HeadA, TailA, HeadB, TailB, Carry>
: [A, B] extends [[...infer HeadA extends Digit[], infer TailA extends Digit], []]
? AddTails<HeadA, TailA, [], 0, Carry>
: [A, B] extends [[], [...infer HeadB extends Digit[], infer TailB extends Digit]]
? AddTails<[], 0, HeadB, TailB, Carry>
: [A, B] extends [[], []]
? Carry extends true
? [1]
: []
: []
type AddTails<HeadA extends Digit[], TailA extends Digit, HeadB extends Digit[], TailB extends Digit, Carry extends boolean> =
SplitDigits<AddDigits<TailA, TailB, Carry>> extends [1, infer Result extends Digit]
? [...AddDigitArrays<HeadA, HeadB, true>, Result]
: [...AddDigitArrays<HeadA, HeadB>, SplitDigits<AddDigits<TailA, TailB, Carry>>[0]]
type AddDigits<A extends Digit, B extends Digit, Carry extends boolean = false> =
[...TupleForDigit<A>, ...TupleForDigit<B>, ...(Carry extends false ? [] : [0])]['length'] & number
export function add<A extends number, B extends number>(a: A, b: B) {
return a + b as Add<A, B>
}

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src/index.ts Normal file
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type NonZeroDigit = 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
export type Digit = 0 | NonZeroDigit
type Tuple0To9 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
export type TupleForDigit<Value extends Digit> =
Value extends 0 ? []
: Value extends 1 ? [0]
: Value extends 2 ? [0, 0]
: Value extends 3 ? [0, 0, 0]
: Value extends 4 ? [0, 0, 0, 0]
: Value extends 5 ? [0, 0, 0, 0, 0]
: Value extends 6 ? [0, 0, 0, 0, 0, 0]
: Value extends 7 ? [0, 0, 0, 0, 0, 0, 0]
: Value extends 8 ? [0, 0, 0, 0, 0, 0, 0, 0]
: Value extends 9 ? [0, 0, 0, 0, 0, 0, 0, 0, 0]
: never
export type SplitDigits<Value extends number> =
Value extends Digit
? [Value]
: TakeDigitFromString<`${Value}`>
type TakeDigitFromString<DigitString extends String> =
DigitString extends `${infer Head extends Digit}`
? [Head]
: DigitString extends `${infer Head extends Digit}${infer Tail extends string}`
? [Head, ...TakeDigitFromString<Tail>]
: never
type Zeros<Length extends number> = [] & {length: Length} extends [...infer Tuple] ? {[Property in keyof Tuple]: 0} & Array<0> & {length: Length} : never
type StringToNumber<NumericString extends string> = NumericString extends `${infer Number extends number}` ? Number : never
type Stringable = string | number | bigint | boolean | null | undefined
type Join<List extends Stringable[]> =
List extends [infer Value extends Stringable]
? `${Value}`
: List extends [infer Head extends Stringable, ...infer Tail extends Stringable[]]
? `${Head}${Join<Tail>}`
: never
export type DigitsToNumber<Digits extends Digit[]> = StringToNumber<Join<Digits>>

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