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Class Rotation<C>

Type parameters

Hierarchy

  • Rotationish<C>
    • Rotation

Implements

Index

Constructors

constructor

  • new Rotation<C>(unit: C, i?: number, j?: number, k?: number, w?: number): Rotation<C>

Properties

0

0: number

1

1: number

2

2: number

3

3: number

Readonly BYTES_PER_ELEMENT

BYTES_PER_ELEMENT: number

The size in bytes of each element in the array.

Readonly BYTES_PER_ELEMENT

BYTES_PER_ELEMENT: number

The size in bytes of each element in the array.

Readonly [Symbol.toStringTag]

[Symbol.toStringTag]: "Float64Array"

Readonly buffer

buffer: ArrayBufferLike

The ArrayBuffer instance referenced by the array.

Readonly byteLength

byteLength: number

The length in bytes of the array.

Readonly byteOffset

byteOffset: number

The offset in bytes of the array.

Optional f_

f_: undefined | IPCompiled<BaseValue, C, 0, IPFunctionCalculus<number, C, 0, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>> | IPFunctionBase<Point, C, 0> | IPFunctionBase<Orientation, C, 0> | IPFunctionCalculus<Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>>, C, 0, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>> | IPFunctionCalculus<Rotation<Unit<CompleteTerms<{ angle: 1 }>>>, C, 0, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>>>

Readonly length

length: number

The length of the array.

Optional style_

style_: undefined | Style

Optional tex_

tex_: undefined | string

Cached LaTeX string

Readonly unit

unit: C

Accessors

f

html

  • get html(): ViewOf<this> & Element
  • Produce HTML from the LaTeX representation. Produces a new HTML element on each reference, equivalent to:

    pFun.toHtml();
    

    Returns ViewOf<this> & Element

i

  • get i(): number
  • set i(v: number): void

j

  • get j(): number
  • set j(v: number): void

k

  • get k(): number
  • set k(v: number): void

quat

  • get quat(): vec4

tex

  • get tex(): string
  • Get the LaTeX representation of this function. The value is cached.

    Returns string

type

value

  • get value(): this

w

  • get w(): number
  • set w(v: number): void

Methods

[Symbol.iterator]

  • [Symbol.iterator](): IterableIterator<number>

add

  • Addition here is the group operator on the rotation group, i.e. addition of spherical (great-circle) on the versor surface. This corresponds to multiplication of the underlying quaternions.

    Parameters

    • a: Rotationish<C>

    Returns Rotation<C>

addf

assign

  • assign(): Rotation<C>
  • assign(other: ArrayBase<C>): Rotation<C>
  • assign(a: number, b: number, c: number): Rotation<C>
  • assign(a: number, b: number, c: number, d: number): Rotation<C>

clone

compile

Protected compileFn

conjugate

  • conjugate(): Rotationish<C>

copyWithin

  • copyWithin(target: number, start: number, end?: number): Rotation<C>
  • Returns the this object after copying a section of the array identified by start and end to the same array starting at position target

    Parameters

    • target: number

      If target is negative, it is treated as length+target where length is the length of the array.

    • start: number

      If start is negative, it is treated as length+start. If end is negative, it is treated as length+end.

    • Optional end: number

      If not specified, length of the this object is used as its default value.

    Returns Rotation<C>

create

entries

  • entries(): IterableIterator<[number, number]>

equiv

every

  • every(predicate: (value: number, index: number, array: Float64Array) => unknown, thisArg?: any): boolean
  • Determines whether all the members of an array satisfy the specified test.

    Parameters

    • predicate: (value: number, index: number, array: Float64Array) => unknown

      A function that accepts up to three arguments. The every method calls the predicate function for each element in the array until the predicate returns a value which is coercible to the Boolean value false, or until the end of the array.

        • (value: number, index: number, array: Float64Array): unknown
        • Parameters

          • value: number
          • index: number
          • array: Float64Array

          Returns unknown

    • Optional thisArg: any

      An object to which the this keyword can refer in the predicate function. If thisArg is omitted, undefined is used as the this value.

    Returns boolean

fill

  • fill(value: number, start?: number, end?: number): Rotation<C>
  • Returns the this object after filling the section identified by start and end with value

    Parameters

    • value: number

      value to fill array section with

    • Optional start: number

      index to start filling the array at. If start is negative, it is treated as length+start where length is the length of the array.

    • Optional end: number

      index to stop filling the array at. If end is negative, it is treated as length+end.

    Returns Rotation<C>

filter

  • filter(predicate: (value: number, index: number, array: Float64Array) => any, thisArg?: any): Float64Array
  • Returns the elements of an array that meet the condition specified in a callback function.

    Parameters

    • predicate: (value: number, index: number, array: Float64Array) => any

      A function that accepts up to three arguments. The filter method calls the predicate function one time for each element in the array.

        • (value: number, index: number, array: Float64Array): any
        • Parameters

          • value: number
          • index: number
          • array: Float64Array

          Returns any

    • Optional thisArg: any

      An object to which the this keyword can refer in the predicate function. If thisArg is omitted, undefined is used as the this value.

    Returns Float64Array

find

  • find(predicate: (value: number, index: number, obj: Float64Array) => boolean, thisArg?: any): undefined | number
  • Returns the value of the first element in the array where predicate is true, and undefined otherwise.

    Parameters

    • predicate: (value: number, index: number, obj: Float64Array) => boolean

      find calls predicate once for each element of the array, in ascending order, until it finds one where predicate returns true. If such an element is found, find immediately returns that element value. Otherwise, find returns undefined.

        • (value: number, index: number, obj: Float64Array): boolean
        • Parameters

          • value: number
          • index: number
          • obj: Float64Array

          Returns boolean

    • Optional thisArg: any

      If provided, it will be used as the this value for each invocation of predicate. If it is not provided, undefined is used instead.

    Returns undefined | number

findIndex

  • findIndex(predicate: (value: number, index: number, obj: Float64Array) => boolean, thisArg?: any): number
  • Returns the index of the first element in the array where predicate is true, and -1 otherwise.

    Parameters

    • predicate: (value: number, index: number, obj: Float64Array) => boolean

      find calls predicate once for each element of the array, in ascending order, until it finds one where predicate returns true. If such an element is found, findIndex immediately returns that element index. Otherwise, findIndex returns -1.

        • (value: number, index: number, obj: Float64Array): boolean
        • Parameters

          • value: number
          • index: number
          • obj: Float64Array

          Returns boolean

    • Optional thisArg: any

      If provided, it will be used as the this value for each invocation of predicate. If it is not provided, undefined is used instead.

    Returns number

forEach

  • forEach(callbackfn: (value: number, index: number, array: Float64Array) => void, thisArg?: any): void
  • Performs the specified action for each element in an array.

    Parameters

    • callbackfn: (value: number, index: number, array: Float64Array) => void

      A function that accepts up to three arguments. forEach calls the callbackfn function one time for each element in the array.

        • (value: number, index: number, array: Float64Array): void
        • Parameters

          • value: number
          • index: number
          • array: Float64Array

          Returns void

    • Optional thisArg: any

      An object to which the this keyword can refer in the callbackfn function. If thisArg is omitted, undefined is used as the this value.

    Returns void

from

  • from(arrayLike: ArrayLike<number>): Float64Array
  • from<T>(arrayLike: ArrayLike<T>, mapfn: (v: T, k: number) => number, thisArg?: any): Float64Array
  • from(arrayLike: Iterable<number>, mapfn?: (v: number, k: number) => number, thisArg?: any): Float64Array
  • Creates an array from an array-like or iterable object.

    Parameters

    • arrayLike: ArrayLike<number>

      An array-like or iterable object to convert to an array.

    Returns Float64Array

  • Creates an array from an array-like or iterable object.

    Type parameters

    • T

    Parameters

    • arrayLike: ArrayLike<T>

      An array-like or iterable object to convert to an array.

    • mapfn: (v: T, k: number) => number

      A mapping function to call on every element of the array.

        • (v: T, k: number): number
        • Parameters

          • v: T
          • k: number

          Returns number

    • Optional thisArg: any

      Value of 'this' used to invoke the mapfn.

    Returns Float64Array

  • Creates an array from an array-like or iterable object.

    Parameters

    • arrayLike: Iterable<number>

      An array-like or iterable object to convert to an array.

    • Optional mapfn: (v: number, k: number) => number

      A mapping function to call on every element of the array.

        • (v: number, k: number): number
        • Parameters

          • v: number
          • k: number

          Returns number

    • Optional thisArg: any

      Value of 'this' used to invoke the mapfn.

    Returns Float64Array

includes

  • includes(searchElement: number, fromIndex?: number): boolean
  • Determines whether an array includes a certain element, returning true or false as appropriate.

    Parameters

    • searchElement: number

      The element to search for.

    • Optional fromIndex: number

      The position in this array at which to begin searching for searchElement.

    Returns boolean

indexOf

  • indexOf(searchElement: number, fromIndex?: number): number
  • Returns the index of the first occurrence of a value in an array.

    Parameters

    • searchElement: number

      The value to locate in the array.

    • Optional fromIndex: number

      The array index at which to begin the search. If fromIndex is omitted, the search starts at index 0.

    Returns number

join

  • join(separator?: string): string
  • Adds all the elements of an array separated by the specified separator string.

    Parameters

    • Optional separator: string

      A string used to separate one element of an array from the next in the resulting String. If omitted, the array elements are separated with a comma.

    Returns string

keys

  • keys(): IterableIterator<number>

lastIndexOf

  • lastIndexOf(searchElement: number, fromIndex?: number): number
  • Returns the index of the last occurrence of a value in an array.

    Parameters

    • searchElement: number

      The value to locate in the array.

    • Optional fromIndex: number

      The array index at which to begin the search. If fromIndex is omitted, the search starts at index 0.

    Returns number

magnitude

  • magnitude(): number

magnitudeSqr

  • magnitudeSqr(): number

map

  • map(callbackfn: (value: number, index: number, array: Float64Array) => number, thisArg?: any): Float64Array
  • Calls a defined callback function on each element of an array, and returns an array that contains the results.

    Parameters

    • callbackfn: (value: number, index: number, array: Float64Array) => number

      A function that accepts up to three arguments. The map method calls the callbackfn function one time for each element in the array.

        • (value: number, index: number, array: Float64Array): number
        • Parameters

          • value: number
          • index: number
          • array: Float64Array

          Returns number

    • Optional thisArg: any

      An object to which the this keyword can refer in the callbackfn function. If thisArg is omitted, undefined is used as the this value.

    Returns Float64Array

mult

  • Because multiplication of quaternions is equal to addition of spherical vectors on the 3D unit sphere, multiplication of those vectors by a real is the same as exponentiation of their quaternions by a real.

    Parameters

    • n: number

    Returns Rotation<C>

multf

  • Because multiplication of quaternions is equal to addition of spherical vectors on the 3D unit sphere, multiplication of those vectors by a real is the same as exponentiation of their quaternions by a real.

    Parameters

    • n: number

    Returns Rotation<C>

normalize

of

  • of(...items: number[]): Float64Array

reduce

  • reduce(callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number): number
  • reduce(callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number, initialValue: number): number
  • reduce<U>(callbackfn: (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array) => U, initialValue: U): U
  • Calls the specified callback function for all the elements in an array. The return value of the callback function is the accumulated result, and is provided as an argument in the next call to the callback function.

    Parameters

    • callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number

      A function that accepts up to four arguments. The reduce method calls the callbackfn function one time for each element in the array.

        • (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array): number
        • Parameters

          • previousValue: number
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns number

    Returns number

  • Parameters

    • callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number
        • (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array): number
        • Parameters

          • previousValue: number
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns number

    • initialValue: number

    Returns number

  • Calls the specified callback function for all the elements in an array. The return value of the callback function is the accumulated result, and is provided as an argument in the next call to the callback function.

    Type parameters

    • U

    Parameters

    • callbackfn: (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array) => U

      A function that accepts up to four arguments. The reduce method calls the callbackfn function one time for each element in the array.

        • (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array): U
        • Parameters

          • previousValue: U
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns U

    • initialValue: U

      If initialValue is specified, it is used as the initial value to start the accumulation. The first call to the callbackfn function provides this value as an argument instead of an array value.

    Returns U

reduceRight

  • reduceRight(callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number): number
  • reduceRight(callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number, initialValue: number): number
  • reduceRight<U>(callbackfn: (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array) => U, initialValue: U): U
  • Calls the specified callback function for all the elements in an array, in descending order. The return value of the callback function is the accumulated result, and is provided as an argument in the next call to the callback function.

    Parameters

    • callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number

      A function that accepts up to four arguments. The reduceRight method calls the callbackfn function one time for each element in the array.

        • (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array): number
        • Parameters

          • previousValue: number
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns number

    Returns number

  • Parameters

    • callbackfn: (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array) => number
        • (previousValue: number, currentValue: number, currentIndex: number, array: Float64Array): number
        • Parameters

          • previousValue: number
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns number

    • initialValue: number

    Returns number

  • Calls the specified callback function for all the elements in an array, in descending order. The return value of the callback function is the accumulated result, and is provided as an argument in the next call to the callback function.

    Type parameters

    • U

    Parameters

    • callbackfn: (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array) => U

      A function that accepts up to four arguments. The reduceRight method calls the callbackfn function one time for each element in the array.

        • (previousValue: U, currentValue: number, currentIndex: number, array: Float64Array): U
        • Parameters

          • previousValue: U
          • currentValue: number
          • currentIndex: number
          • array: Float64Array

          Returns U

    • initialValue: U

      If initialValue is specified, it is used as the initial value to start the accumulation. The first call to the callbackfn function provides this value as an argument instead of an array value.

    Returns U

reverse

  • reverse(): Float64Array

rotate

  • rotate<T>(b: T): T

set

  • set(array: ArrayLike<number>, offset?: number): void
  • Sets a value or an array of values.

    Parameters

    • array: ArrayLike<number>

      A typed or untyped array of values to set.

    • Optional offset: number

      The index in the current array at which the values are to be written.

    Returns void

slice

  • slice(start?: number, end?: number): Float64Array
  • Returns a section of an array.

    Parameters

    • Optional start: number

      The beginning of the specified portion of the array.

    • Optional end: number

      The end of the specified portion of the array. This is exclusive of the element at the index 'end'.

    Returns Float64Array

some

  • some(predicate: (value: number, index: number, array: Float64Array) => unknown, thisArg?: any): boolean
  • Determines whether the specified callback function returns true for any element of an array.

    Parameters

    • predicate: (value: number, index: number, array: Float64Array) => unknown

      A function that accepts up to three arguments. The some method calls the predicate function for each element in the array until the predicate returns a value which is coercible to the Boolean value true, or until the end of the array.

        • (value: number, index: number, array: Float64Array): unknown
        • Parameters

          • value: number
          • index: number
          • array: Float64Array

          Returns unknown

    • Optional thisArg: any

      An object to which the this keyword can refer in the predicate function. If thisArg is omitted, undefined is used as the this value.

    Returns boolean

sort

  • sort(compareFn?: (a: number, b: number) => number): Rotation<C>
  • Sorts an array.

    Parameters

    • Optional compareFn: (a: number, b: number) => number

      Function used to determine the order of the elements. It is expected to return a negative value if first argument is less than second argument, zero if they're equal and a positive value otherwise. If omitted, the elements are sorted in ascending, ASCII character order.

      [11,2,22,1].sort((a, b) => a - b)
      
        • (a: number, b: number): number
        • Parameters

          • a: number
          • b: number

          Returns number

    Returns Rotation<C>

sub

subarray

  • subarray(begin?: number, end?: number): Float64Array
  • at begin, inclusive, up to end, exclusive.

    Parameters

    • Optional begin: number

      The index of the beginning of the array.

    • Optional end: number

      The index of the end of the array.

    Returns Float64Array

subf

toHtml

  • Produce HTML from the LaTeX representation. Produces a new HTML element on each call

    Parameters

    • Optional varName: string
    • Optional block: boolean
    • Optional ctx: StyleContext

    Returns ViewOf<Rotation<C>> & Element

toString

  • toString(): string

toTex

toTexWithUnits

  • toTexWithUnits(varName?: string, ctx?: StyleContext): string

valueOf

  • valueOf(): Float64Array

values

  • values(): IterableIterator<number>

Static fromEuler

  • fromEuler<U>(unit: U, x: number, y: number, z: number): Rotation<U>

Static fromEulerX

  • fromEulerX<U, T>(f: (i: number, j: number, k: number, w: number) => T, x: number, y: number, z: number): T
  • Type parameters

    Parameters

    • f: (i: number, j: number, k: number, w: number) => T
        • (i: number, j: number, k: number, w: number): T
        • Parameters

          • i: number
          • j: number
          • k: number
          • w: number

          Returns T

    • x: number
    • y: number
    • z: number

    Returns T

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