Class Rat

Name

Rat

Hierarchy

Rat

Index

Constructors

Properties

d n

Accessors

Constructors

constructor

new Rat(numerator?: number | bigint, denominator?: number | bigint): Rat
Initialize a rational number.
Parameters
- numerator: number | bigint = ...
- denominator: number | bigint = ...
Returns Rat
- Defined in src/Rat.ts:16

Properties

d

d: bigint

n

n: bigint

Accessors

profile

get profile(): string
Returns a text profile of the number in various formats and it's value after common transformations.

Returns string
- Defined in src/Rat.ts:42

Methods

abs

abs(): Rat
Absolute value of this.

Returns Rat
- Defined in src/Rat.ts:208

add

add(that: Rat): Rat
Add this to that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:99

approximates

approximates(n: number): boolean
Returns true if this approximates the number.
Parameters
- n: number
Returns boolean
- Defined in src/Rat.ts:187

babylonianFraction

babylonianFraction(): string[]
A dictionary with the exponents of 60 and their coefficents, which add up to this number.

Returns string[]
- Defined in src/Rat.ts:440

babylonianFractionString

babylonianFractionString(): string
Babylonian fraction as a calc string.

Returns string
- Defined in src/Rat.ts:470

ceil

ceil(): bigint
Returns the smallest integer equal to or greater than.

Returns bigint
- Defined in src/Rat.ts:285

clone

clone(): Rat
Clone this.

Returns Rat
- Defined in src/Rat.ts:58

continuedFraction

continuedFraction(): Generator<number, any, unknown>
Returns the integers representing the continued fraction.

Returns Generator<number, any, unknown>
- Defined in src/Rat.ts:334

continuedFractionString

continuedFractionString(): string
Continued fraction as a string.

Returns string
- Defined in src/Rat.ts:347

div

div(that: Rat): Rat
Divide this by that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:124

dot

dot(that: Rat): bigint
Returns the dot product of this and that.
Parameters
- that: Rat
Returns bigint
- Defined in src/Rat.ts:173

egyptianFraction

egyptianFraction(): Rat[]
A list of unit fractions which add up to this number.

Returns Rat[]
- Defined in src/Rat.ts:398

egyptianFractionString

egyptianFractionString(): string
Egyptian fraction as a calc string.

Returns string
- Defined in src/Rat.ts:433

equals

equals(that: Rat): boolean
Returns true if this equals that.
Parameters
- that: Rat
Returns boolean
- Defined in src/Rat.ts:180

floor

floor(): bigint
Returns the largest integer equal to or smaller than.

Returns bigint
- Defined in src/Rat.ts:278

inv

inv(): Rat
The reciprocal, or multiplicative inverse, of this.

Returns Rat
- Defined in src/Rat.ts:240

isFinite

isFinite(): boolean
Returns true if this is a finite number.

Returns boolean
- Defined in src/Rat.ts:233

isGreaterThan

isGreaterThan(that: Rat): boolean
Returns true if this is greater than that.
Parameters
- that: Rat
Returns boolean
- Defined in src/Rat.ts:194

isLessThan

isLessThan(that: Rat): boolean
Returns true if this is less than that.
Parameters
- that: Rat
Returns boolean
- Defined in src/Rat.ts:201

isNegative

isNegative(): boolean
Returns true if this is less than zero.

Returns boolean
- Defined in src/Rat.ts:226

max

max(that: Rat): Rat
Maximum of this and that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:149

mediant

mediant(that: Rat): Rat
Mediant of this and that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:133

min

min(that: Rat): Rat
Minimum of this and that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:142

mixedFractionString

mixedFractionString(): string
Mixed fraction as a string.

Returns string
- Defined in src/Rat.ts:325

mul

mul(that: Rat): Rat
Multiply that by this.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:115

neg

neg(): Rat
Opposite (negative) of this.

Returns Rat
- Defined in src/Rat.ts:217

normalize

normalize(): void
Normalize the numerator and denominator by factoring out the common denominators.

Returns void
- Defined in src/Rat.ts:65

pcos

pcos(): Rat
Parametric cosine: (1 - t²) / (1 + t²)

Returns Rat
- Defined in src/Rat.ts:305

pow

pow(that: Rat): Rat
Raise this to the power of that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:156

primeFactorization

primeFactorization(): [bigint, bigint][]
Returns an array of the prime factors with their exponents.

Returns [bigint, bigint][]
- Defined in src/Rat.ts:366

primeFactorizationString

primeFactorizationString(): string
Prime factorization as a calc string.

Returns string
- Defined in src/Rat.ts:387

psin

psin(): Rat
Parametric sine: 2t / (1 + t²)

See
https://youtu.be/Ui8OvmzDn7o?t=245

Returns Rat
- Defined in src/Rat.ts:293

ptan

ptan(): Rat
Parametric tangent: psin() / pcos()

Returns Rat
- Defined in src/Rat.ts:318

root

root(n: number): Rat
Returns the nth root, a number which approximates this when multiplied by itself n times.
Parameters
- n: number
Returns Rat
- Defined in src/Rat.ts:254

round

round(): bigint
Return the closest integer approximation.

Returns bigint
- Defined in src/Rat.ts:271

sqrt

sqrt(): Rat
Square root of this.

Returns Rat
- Defined in src/Rat.ts:247

sub

sub(that: Rat): Rat
Subtract this from that.
Parameters
- that: Rat
Returns Rat
- Defined in src/Rat.ts:108

toString

toString(): string
The text representation.

Returns string
- Defined in src/Rat.ts:35

valueOf

valueOf(): number
The decimal approximation.

Returns number
- Defined in src/Rat.ts:28

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