Class Rat

"God gave us the integers, all else is the work of man" - Kronecker.

Hierarchy (view full)

JsAtom
- Rat

Index

Constructors

Properties

a b end? name pos? type

Accessors

iscons isnil sign

Constructors

constructor

new Rat(a, b, pos?, end?): Rat
Parameters
- a: BigInteger
  The numerator.
- b: BigInteger
  The denominator.
- Optional pos: number
- Optional end: number
Returns Rat
Overrides JsAtom.constructor
- Defined in packages/atoms/src/rat/Rat.ts:103

Properties

a

The numerator.

b

The denominator.

`Optional` `Readonly` end

end?: number

`Readonly` name

name: string

`Optional` `Readonly` pos

pos?: number

`Readonly` type

type: "rational" = "rational"

Accessors

iscons

get iscons(): boolean
Returns boolean
Inherited from JsAtom.iscons
- Defined in packages/atoms/src/atom/JsAtom.ts:26

isnil

get isnil(): boolean
Returns boolean
Inherited from JsAtom.isnil
- Defined in packages/atoms/src/atom/JsAtom.ts:29

sign

get sign(): -1 | 1
Returns -1 | 1
- Defined in packages/atoms/src/rat/Rat.ts:269

Methods

abs

abs(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:117

add

add(rhs): Rat
Parameters
- rhs: Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:120

addRef

addRef(): void
Returns void
Inherited from JsAtom.addRef
- Defined in packages/atoms/src/atom/JsAtom.ts:14

ceiling

ceiling(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:132

compare

compare(rhs): -1 | 0 | 1
Parameters
- rhs: Rat
Returns -1 | 0 | 1
- Defined in packages/atoms/src/rat/Rat.ts:143

contains

contains(needle): boolean
Parameters
- needle: U
Returns boolean
Inherited from JsAtom.contains
- Defined in packages/atoms/src/atom/JsAtom.ts:16

denom

denom(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:148

div

div(rhs): Rat
Parameters
- rhs: Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:151

equals

equals(other): boolean
Parameters
- other: U
Returns boolean
Overrides JsAtom.equals
- Defined in packages/atoms/src/rat/Rat.ts:164

equalsRat

equalsRat(other): boolean
Parameters
- other: Rat
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:170

gcd

gcd(other): Rat
Parameters
- other: Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:176

inv

inv(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:181

isDenom

isDenom(n): boolean
Parameters
- n: number
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:188

isEven

isEven(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:191

isFraction

isFraction(): boolean
Convenience method for !Rat.isInteger()

Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:197

isHalf

isHalf(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:200

isInteger

isInteger(): boolean
Convenience method for Rat.isDenom(1)

Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:206

isIntegerNumber

isIntegerNumber(x): boolean
Parameters
- x: number
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:209

isMinusOne

isMinusOne(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:226

isNegative

isNegative(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:212

isNonNegativeInteger

isNonNegativeInteger(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:215

isNumer

isNumer(n): boolean
Parameters
- n: number
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:223

isOdd

isOdd(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:229

isOne

isOne(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:232

isPositive

isPositive(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:235

isPositiveInteger

isPositiveInteger(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:238

isTwo

isTwo(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:241

isZero

isZero(): boolean
Returns boolean
- Defined in packages/atoms/src/rat/Rat.ts:244

mul

mul(rhs): Rat
Parameters
- rhs: Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:247

neg

neg(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:260

numer

numer(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:263

pred

pred(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:266

release

release(): void
Returns void
Inherited from JsAtom.release
- Defined in packages/atoms/src/atom/JsAtom.ts:15

sub

sub(rhs): Rat
Parameters
- rhs: Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:272

succ

succ(): Rat
Returns Rat
- Defined in packages/atoms/src/rat/Rat.ts:275

toInfixString

toInfixString(): string
Returns string
- Defined in packages/atoms/src/rat/Rat.ts:278

toListString

toListString(): string
Returns string
- Defined in packages/atoms/src/rat/Rat.ts:281

toNumber

toNumber(): number
Returns number
- Defined in packages/atoms/src/rat/Rat.ts:284

toString

toString(): string
Returns string
Overrides JsAtom.toString
- Defined in packages/atoms/src/rat/Rat.ts:288