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261 changes: 261 additions & 0 deletions lib/node_modules/@stdlib/lapack/base/dlaruv/README.md
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<!--

@license Apache-2.0

Copyright (c) 2026 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.

-->

# dlaruv

> Return a vector of `N` random real numbers drawn from a uniform (0,1) distribution.

<section class="usage">

## Usage

```javascript
var dlaruv = require( '@stdlib/lapack/base/dlaruv' );
```

#### dlaruv( seed, N, x )

Returns a vector of `N` random real numbers drawn from a uniform (0,1) distribution.

```javascript
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );

var seed = new Int32Array( [ 0, 1, 2, 3 ] );
var x = new Float64Array( 3 );

dlaruv( seed, 3, x );
// x => <Float64Array>[ ~0.1319, ~0.2338, ~0.3216 ]
```

The function has the following parameters:

- **seed**: [`Int32Array`][@stdlib/array/int32] seed array of four integers. Each element must be between `0` and `4095`, and `seed[3]` must be odd. On exit, the seed is updated.

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I think it is likely fine to have this be an Int32Array, especially given the range of desired seed values. There is some mild concern that this should be the same as CBLAS_INT (which could be either int64 or int32 depending). We can revisit once we add the C implementation.

- **N**: number of random numbers to generate. Must be at most `128`.
- **x**: output [`Float64Array`][@stdlib/array/float64].

Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.

<!-- eslint-disable stdlib/capitalized-comments -->

```javascript
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );

// Initial arrays...
var seed0 = new Int32Array( [ 0, 0, 1, 2, 3 ] );
var x0 = new Float64Array( [ 0.0, 0.0, 0.0, 0.0 ] );

// Create offset views...
var seed1 = new Int32Array( seed0.buffer, seed0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

dlaruv( seed1, 3, x1 );
// x0 => <Float64Array>[ 0.0, ~0.1319, ~0.2338, ~0.3216 ]
```

#### dlaruv.ndarray( N, seed, strideS, offsetS, x, strideX, offsetX )

Returns a vector of `N` random real numbers drawn from a uniform (0,1) distribution using alternative indexing semantics.

```javascript
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );

var seed = new Int32Array( [ 0, 1, 2, 3 ] );
var x = new Float64Array( 3 );

dlaruv.ndarray( 3, seed, 1, 0, x, 1, 0 );
// x => <Float64Array>[ ~0.1319, ~0.2338, ~0.3216 ]
```

The function has the following additional parameters:

- **strideS**: stride length for `seed`.
- **offsetS**: starting index for `seed`.
- **strideX**: stride length for `x`.
- **offsetX**: starting index for `x`.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,

<!-- eslint-disable max-len -->

```javascript
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );

var seed = new Int32Array( [ 0, 0, 1, 2, 3 ] );
var x = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] );

dlaruv.ndarray( 3, seed, 1, 1, x, 1, 2 );
// x => <Float64Array>[ 0.0, 0.0, ~0.1319, ~0.2338, ~0.3216 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- `seed` is updated in-place and should be reused across invocations in order to generate a continuous stream of random numbers.
- At most `128` random numbers are generated per invocation. If `N > 128`, only the first `128` indexed elements of `x` are updated.
- If `N <= 0`, the functions return `x` unchanged and do not update `seed`.
- Generated values are always on the open interval `(0,1)`, as the largest representable output is `1 - 2^-48`.
- `dlaruv()` corresponds to the [LAPACK][LAPACK] function [`dlaruv`][lapack-dlaruv].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );
var dlaruv = require( '@stdlib/lapack/base/dlaruv' );

var seed = new Int32Array( [ 1, 23, 456, 3795 ] );
var x = new Float64Array( 10 );

dlaruv( seed, x.length, x );

console.log( x );
console.log( seed );
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
TODO
```

#### TODO

TODO.

```c
TODO
```

TODO

```c
TODO
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
TODO
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

* * *

<section class="references">

## References

- Fishman, George S. 1990. "Multiplicative Congruential Random Number Generators with Modulus 2^β: An Exhaustive Analysis for β = 32 and a Partial Analysis for β = 48." _Mathematics of Computation_ 54 (189). American Mathematical Society: 331–44. doi:[10.2307/2008698][@fishman1990a].

</section>

<!-- /.references -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[lapack]: https://www.netlib.org/lapack/explore-html/

[lapack-dlaruv]: https://netlib.org/lapack/explore-html/d9/d0f/group__laruv.html

[@stdlib/array/int32]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/int32

[@stdlib/array/float64]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float64

[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray

[@fishman1990a]: https://doi.org/10.2307/2008698

</section>

<!-- /.links -->
97 changes: 97 additions & 0 deletions lib/node_modules/@stdlib/lapack/base/dlaruv/benchmark/benchmark.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2026 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.
*/

'use strict';

// MODULES //

var bench = require( '@stdlib/bench' );
var Int32Array = require( '@stdlib/array/int32' );
var Float64Array = require( '@stdlib/array/float64' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var format = require( '@stdlib/string/format' );
var pkg = require( './../package.json' ).name;
var dlaruv = require( './../lib/dlaruv.js' );


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var seed = new Int32Array( [ 1619, 1381, 1011, 2459 ] );
var x = new Float64Array( len );
return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
dlaruv( seed, len, x );
if ( isnan( x[ 0 ] ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( x[ 0 ] ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var len;
var max;
var min;
var f;
var i;

min = 0; // 2^min
max = 7; // 2^max (capped at 128)

for ( i = min; i <= max; i++ ) {
len = pow( 2, i );
f = createBenchmark( len );
bench( format( '%s:len=%d', pkg, len ), f );
}
}

main();
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