Skip to content
Merged
Show file tree
Hide file tree
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
131 changes: 131 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/dtril/README.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,131 @@
<!--

@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.

-->

# dtril

> Copy the lower triangular part of a double-precision floating-point matrix `A` to another matrix `B`.

<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var dtril = require( '@stdlib/blas/ext/base/ndarray/dtril' );
```

#### dtril( arrays )

Copies the lower triangular part of a double-precision floating-point matrix `A` to another matrix `B`.

```javascript
var Float64Matrix = require( '@stdlib/ndarray/matrix/float64' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );

var A = new Float64Matrix( [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] );
var B = new Float64Matrix( [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] );

var k = scalar2ndarray( 0, {
'dtype': 'generic'
});

var out = dtril( [ A, B, k ] );
// returns <ndarray>[ [ 1.0, 0.0 ], [ 3.0, 4.0 ] ]

var bool = ( out === B );
// returns true
```

The function has the following parameters:

- **arrays**: array-like object containing the following ndarrays:

- a two-dimensional input ndarray corresponding to `A`.
- a two-dimensional output ndarray corresponding to `B`.
- a zero-dimensional ndarray specifying the diagonal above which to ignore. A value equal to zero refers to the main diagonal, greater than zero refers to a diagonal above the main diagonal, and less than zero refers to a diagonal below the main diagonal.

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- Elements outside of the copied region are left unchanged.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/discrete-uniform' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var dtril = require( '@stdlib/blas/ext/base/ndarray/dtril' );

var opts = {
'dtype': 'float64'
};

var A = discreteUniform( [ 5, 5 ], -50, 50, opts );
console.log( ndarray2array( A ) );

var B = discreteUniform( [ 5, 5 ], -50, 50, opts );
console.log( ndarray2array( B ) );

var k = scalar2ndarray( 0, {
'dtype': 'generic'
});

var out = dtril( [ A, B, k ] );
console.log( ndarray2array( out ) );
```

</section>

<!-- /.examples -->

<!-- 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">

</section>

<!-- /.links -->
Original file line number Diff line number Diff line change
@@ -0,0 +1,110 @@
/**
* @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 uniform = require( '@stdlib/random/uniform' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var format = require( '@stdlib/string/format' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var pkg = require( './../package.json' ).name;
var dtril = require( './../lib' );


// VARIABLES //

var options = {
'dtype': 'float64'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var A = uniform( [ len, len ], -100.0, 100.0, options );
var B = uniform( [ len, len ], -100.0, 100.0, options );

var k = scalar2ndarray( 0, {
'dtype': 'generic'
});

return benchmark;

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

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
out = dtril( [ A, B, k ] );
if ( typeof out !== 'object' ) {
b.fail( 'should return an ndarray' );
}
}
b.toc();
if ( isnan( out.get( i%len, i%len ) ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

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

min = 1; // 10^min
max = 3; // 10^max

for ( i = min; i <= max; i++ ) {
len = pow( 10, i );
f = createBenchmark( len );
bench( format( '%s:len=%d', pkg, len ), f );
}
}

main();
42 changes: 42 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/dtril/docs/repl.txt
Original file line number Diff line number Diff line change
@@ -0,0 +1,42 @@

{{alias}}( arrays )
Copies the lower triangular part of a double-precision floating-point matrix
`A` to another matrix `B`.

The diagonal parameter `k` specifies the diagonal above which to ignore. A
value of `k = 0` refers to the main diagonal, `k > 0` refers to a diagonal
above the main diagonal, and `k < 0` refers to a diagonal below the main
diagonal.

Parameters
----------
arrays: ArrayLikeObject<ndarray>
Array-like object containing the following ndarrays:

- a two-dimensional input ndarray corresponding to `A`.
- a two-dimensional output ndarray corresponding to `B`.
- a zero-dimensional ndarray specifying the diagonal above which to
ignore.

Returns
-------
out: ndarray
Output ndarray.

Examples
--------
> var abuf = [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ];
> var A = new {{alias:@stdlib/ndarray/matrix/float64}}( abuf );

> var bbuf = [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ];
> var B = new {{alias:@stdlib/ndarray/matrix/float64}}( bbuf );

> var k = {{alias:@stdlib/ndarray/from-scalar}}( 0, { 'dtype': 'generic' } );

> {{alias}}( [ A, B, k ] );
> B
<ndarray>[ [ 1.0, 0.0 ], [ 3.0, 4.0 ] ]

See Also
--------

Original file line number Diff line number Diff line change
@@ -0,0 +1,61 @@
/*
* @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.
*/

// TypeScript Version: 4.1

/// <reference types="@stdlib/types"/>

import { float64ndarray, typedndarray } from '@stdlib/types/ndarray';

/**
* Copies the lower triangular part of a double-precision floating-point matrix `A` to another matrix `B`.
*
* ## Notes
*
* - The function expects the following ndarrays:
*
* - a two-dimensional input ndarray corresponding to `A`.
* - a two-dimensional output ndarray corresponding to `B`.
* - a zero-dimensional ndarray specifying the diagonal above which to ignore.
*
* @param arrays - array-like object containing ndarrays
* @returns output ndarray
*
* @example
* var Float64Matrix = require( '@stdlib/ndarray/matrix/float64' );
* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
*
* var A = new Float64Matrix( [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] );
* var B = new Float64Matrix( [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] );
*
* var k = scalar2ndarray( 0, {
* 'dtype': 'generic'
* });
*
* var out = dtril( [ A, B, k ] );
* // returns <ndarray>[ [ 1.0, 0.0 ], [ 3.0, 4.0 ] ]
*
* var bool = ( out === B );
* // returns true
*/
declare function dtril( arrays: [ float64ndarray, float64ndarray, typedndarray<number> ] ): float64ndarray;


// EXPORTS //

export = dtril;
Loading