169 lines
12 KiB
Markdown
169 lines
12 KiB
Markdown
|
<!--
|
||
|
|
||
|
@license Apache-2.0
|
||
|
|
||
|
Copyright (c) 2020 The Stdlib Authors.
|
||
|
|
||
|
Licensed under the Apache License, Version 2.0 (the "License");
|
||
|
you may not use this file except in compliance with the License.
|
||
|
You may obtain a copy of the License at
|
||
|
|
||
|
http://www.apache.org/licenses/LICENSE-2.0
|
||
|
|
||
|
Unless required by applicable law or agreed to in writing, software
|
||
|
distributed under the License is distributed on an "AS IS" BASIS,
|
||
|
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||
|
See the License for the specific language governing permissions and
|
||
|
limitations under the License.
|
||
|
|
||
|
-->
|
||
|
|
||
|
# Sequences
|
||
|
|
||
|
> Standard library math iterators for generating sequences.
|
||
|
|
||
|
<section class="usage">
|
||
|
|
||
|
## Usage
|
||
|
|
||
|
```javascript
|
||
|
var ns = require( '@stdlib/math/iter/sequences' );
|
||
|
```
|
||
|
|
||
|
#### ns
|
||
|
|
||
|
Standard library math iterators for generating sequences.
|
||
|
|
||
|
```javascript
|
||
|
var iterators = ns;
|
||
|
// returns {...}
|
||
|
```
|
||
|
|
||
|
The namespace contains the following functions for creating iterator protocol-compliant iterators:
|
||
|
|
||
|
<!-- <toc pattern="*"> -->
|
||
|
|
||
|
<div class="namespace-toc">
|
||
|
|
||
|
- <span class="signature">[`iterCompositesSeq( [options] )`][@stdlib/math/iter/sequences/composites]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of composite numbers.</span>
|
||
|
- <span class="signature">[`iterCubesSeq( [options] )`][@stdlib/math/iter/sequences/cubes]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of cubes.</span>
|
||
|
- <span class="signature">[`iterEvenIntegersSeq( [options] )`][@stdlib/math/iter/sequences/even-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates an interleaved sequence of even integers.</span>
|
||
|
- <span class="signature">[`iterFactorialsSeq( [options] )`][@stdlib/math/iter/sequences/factorials]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of factorials.</span>
|
||
|
- <span class="signature">[`iterFibonacciSeq( [options] )`][@stdlib/math/iter/sequences/fibonacci]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a Fibonacci sequence.</span>
|
||
|
- <span class="signature">[`iterFifthPowersSeq( [options] )`][@stdlib/math/iter/sequences/fifth-powers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of fifth powers.</span>
|
||
|
- <span class="signature">[`iterFourthPowersSeq( [options] )`][@stdlib/math/iter/sequences/fourth-powers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of fourth powers.</span>
|
||
|
- <span class="signature">[`iterIntegersSeq( [options] )`][@stdlib/math/iter/sequences/integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates an interleaved integer sequence.</span>
|
||
|
- <span class="signature">[`iterLucasSeq( [options] )`][@stdlib/math/iter/sequences/lucas]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a Lucas sequence.</span>
|
||
|
- <span class="signature">[`iterNegaFibonacciSeq( [options] )`][@stdlib/math/iter/sequences/negafibonacci]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a negaFibonacci sequence.</span>
|
||
|
- <span class="signature">[`iterNegaLucasSeq( [options] )`][@stdlib/math/iter/sequences/negalucas]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a negaLucas sequence.</span>
|
||
|
- <span class="signature">[`iterNegativeEvenIntegersSeq( [options] )`][@stdlib/math/iter/sequences/negative-even-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of negative even integers.</span>
|
||
|
- <span class="signature">[`iterNegativeIntegersSeq( [options] )`][@stdlib/math/iter/sequences/negative-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a negative integer sequence.</span>
|
||
|
- <span class="signature">[`iterNegativeOddIntegersSeq( [options] )`][@stdlib/math/iter/sequences/negative-odd-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of negative odd integers.</span>
|
||
|
- <span class="signature">[`iterNonFibonacciSeq( [options] )`][@stdlib/math/iter/sequences/nonfibonacci]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a non-Fibonacci integer sequence.</span>
|
||
|
- <span class="signature">[`iterNonNegativeEvenIntegersSeq( [options] )`][@stdlib/math/iter/sequences/nonnegative-even-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of nonnegative even integers.</span>
|
||
|
- <span class="signature">[`iterNonNegativeIntegersSeq( [options] )`][@stdlib/math/iter/sequences/nonnegative-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a nonnegative integer sequence.</span>
|
||
|
- <span class="signature">[`iterNonPositiveEvenIntegersSeq( [options] )`][@stdlib/math/iter/sequences/nonpositive-even-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of nonpositive even integers.</span>
|
||
|
- <span class="signature">[`iterNonPositiveIntegersSeq( [options] )`][@stdlib/math/iter/sequences/nonpositive-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a nonpositive integer sequence.</span>
|
||
|
- <span class="signature">[`iterNonSquaresSeq( [options] )`][@stdlib/math/iter/sequences/nonsquares]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of nonsquares.</span>
|
||
|
- <span class="signature">[`iterOddIntegersSeq( [options] )`][@stdlib/math/iter/sequences/odd-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates an interleaved sequence of odd integers.</span>
|
||
|
- <span class="signature">[`iterPositiveEvenIntegersSeq( [options] )`][@stdlib/math/iter/sequences/positive-even-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of positive even integers.</span>
|
||
|
- <span class="signature">[`iterPositiveIntegersSeq( [options] )`][@stdlib/math/iter/sequences/positive-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a positive integer sequence.</span>
|
||
|
- <span class="signature">[`iterPositiveOddIntegersSeq( [options] )`][@stdlib/math/iter/sequences/positive-odd-integers]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of positive odd integers.</span>
|
||
|
- <span class="signature">[`iterPrimesSeq( [options] )`][@stdlib/math/iter/sequences/primes]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of prime numbers.</span>
|
||
|
- <span class="signature">[`iterSquaredTriangularSeq( [options] )`][@stdlib/math/iter/sequences/squared-triangular]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of squared triangular numbers.</span>
|
||
|
- <span class="signature">[`iterSquaresSeq( [options] )`][@stdlib/math/iter/sequences/squares]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of squares.</span>
|
||
|
- <span class="signature">[`iterTriangularSeq( [options] )`][@stdlib/math/iter/sequences/triangular]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a sequence of triangular numbers.</span>
|
||
|
|
||
|
</div>
|
||
|
|
||
|
<!-- </toc> -->
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.usage -->
|
||
|
|
||
|
<section class="examples">
|
||
|
|
||
|
## Examples
|
||
|
|
||
|
<!-- TODO: better examples -->
|
||
|
|
||
|
<!-- eslint no-undef: "error" -->
|
||
|
|
||
|
```javascript
|
||
|
var objectKeys = require( '@stdlib/utils/keys' );
|
||
|
var ns = require( '@stdlib/math/iter/sequences' );
|
||
|
|
||
|
console.log( objectKeys( ns ) );
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.examples -->
|
||
|
|
||
|
<section class="links">
|
||
|
|
||
|
<!-- <toc-links> -->
|
||
|
|
||
|
[@stdlib/math/iter/sequences/composites]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/composites
|
||
|
|
||
|
[@stdlib/math/iter/sequences/cubes]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/cubes
|
||
|
|
||
|
[@stdlib/math/iter/sequences/even-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/even-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/factorials]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/factorials
|
||
|
|
||
|
[@stdlib/math/iter/sequences/fibonacci]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/fibonacci
|
||
|
|
||
|
[@stdlib/math/iter/sequences/fifth-powers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/fifth-powers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/fourth-powers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/fourth-powers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/lucas]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/lucas
|
||
|
|
||
|
[@stdlib/math/iter/sequences/negafibonacci]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/negafibonacci
|
||
|
|
||
|
[@stdlib/math/iter/sequences/negalucas]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/negalucas
|
||
|
|
||
|
[@stdlib/math/iter/sequences/negative-even-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/negative-even-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/negative-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/negative-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/negative-odd-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/negative-odd-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonfibonacci]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonfibonacci
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonnegative-even-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonnegative-even-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonnegative-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonnegative-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonpositive-even-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonpositive-even-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonpositive-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonpositive-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/nonsquares]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/nonsquares
|
||
|
|
||
|
[@stdlib/math/iter/sequences/odd-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/odd-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/positive-even-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/positive-even-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/positive-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/positive-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/positive-odd-integers]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/positive-odd-integers
|
||
|
|
||
|
[@stdlib/math/iter/sequences/primes]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/primes
|
||
|
|
||
|
[@stdlib/math/iter/sequences/squared-triangular]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/squared-triangular
|
||
|
|
||
|
[@stdlib/math/iter/sequences/squares]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/squares
|
||
|
|
||
|
[@stdlib/math/iter/sequences/triangular]: https://www.npmjs.com/package/@stdlib/math/tree/main/iter/sequences/triangular
|
||
|
|
||
|
<!-- </toc-links> -->
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.links -->
|