Create an iterator which computes `sqrt(1+x) - 1` for each iterated value.
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> Create an [iterator][mdn-iterator-protocol] which computes [sqrt(1+x) - 1][@stdlib/math/base/special/sqrt1pm1] for each iterated value.
``bash`
npm install @stdlib/math-iter-special-sqrt1pm1
`javascript`
var iterSqrt1pm1 = require( '@stdlib/math-iter-special-sqrt1pm1' );
#### iterSqrt1pm1( iterator )
Returns an [iterator][mdn-iterator-protocol] which iteratively computes [sqrt(1+x) - 1][@stdlib/math/base/special/sqrt1pm1] more accurately for small x.
`javascript
var array2iterator = require( '@stdlib/array-to-iterator' );
var it = iterSqrt1pm1( array2iterator( [ 3.0, 0.5 ] ) );
// returns
var v = it.next().value;
// returns 1.0
v = it.next().value;
// returns ~0.225
// ...
`
The returned [iterator][mdn-iterator-protocol] protocol-compliant object has the following properties:
- next: function which returns an [iterator][mdn-iterator-protocol] protocol-compliant object containing the next iterated value (if one exists) assigned to a value property and a done property having a boolean value indicating whether the iterator is finished.
- return: function which closes an [iterator][mdn-iterator-protocol] and returns a single (optional) argument in an [iterator][mdn-iterator-protocol] protocol-compliant object.
- If an iterated value is non-numeric (including NaN), the returned [iterator][mdn-iterator-protocol] returns NaN. If non-numeric iterated values are possible, you are advised to provide an [iterator][mdn-iterator-protocol] which type checks and handles non-numeric values accordingly.Symbol.iterator
- If an environment supports and a provided [iterator][mdn-iterator-protocol] is iterable, the returned [iterator][mdn-iterator-protocol] is iterable.
`javascript
var uniform = require( '@stdlib/random-iter-uniform' );
var iterSqrt1pm1 = require( '@stdlib/math-iter-special-sqrt1pm1' );
// Create a seeded iterator for generating pseudorandom numbers:
var rand = uniform( 0.0, 100.0, {
'seed': 1234,
'iter': 10
});
// Create an iterator which consumes the pseudorandom number iterator:
var it = iterSqrt1pm1( rand );
// Perform manual iteration...
var v;
while ( true ) {
v = it.next();
if ( v.done ) {
break;
}
console.log( v.value );
}
`
*
- [@stdlib/math-base/special/sqrt1pm1][@stdlib/math/base/special/sqrt1pm1]: compute sqrt(1 + x) - 1.
- [@stdlib/math-iter/special/sqrt][@stdlib/math/iter/special/sqrt]: create an iterator which computes the principal square root of each iterated value.
*
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
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---
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[@stdlib/math/base/special/sqrt1pm1]: https://www.npmjs.com/package/@stdlib/math-base-special-sqrt1pm1
[@stdlib/math/iter/special/sqrt]: https://www.npmjs.com/package/@stdlib/math-iter-special-sqrt