fix: add javascript implementation for /blas/base/dger

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---

Author: ShabiShett07

lib/node_modules/@stdlib/blas/base/dger/README.md

@@ -20,33 +20,112 @@ limitations under the License.
 
 # dger
 
-> TODO.
+> Perform the rank 1 operation `A = α*x*y^T + A`.
 
-<section class="intro">
+<section class = "usage">
 
-TODO
+## Usage
 
-</section>
+```javascript
+var dger = require( '@stdlib/blas/base/dger' );
+```
 
-<!-- /.intro -->
+#### dger( ord, M, N, α, x, sx, y, sy, A, lda )
 
-<section class="usage">
+Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector and `A` is an `M` by `N` matrix.
 
-## Usage
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var x = new Float64Array( [ 1.0, 1.0 ] );
+var y = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+
+dger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 );
+// A => <Float64Array>[ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ]
+```
+
+The function has the following parameters:
+
+-   **ord**: storage layout.
+-   **M**: number of rows in the matrix `A`.
+-   **N**: number of columns in the matrix `A`.
+-   **α**: scalar constant.
+-   **x**: input [`Float64Array`][mdn-float64array].
+-   **sx**: index increment for `x`.
+-   **y**: output [`Float64Array`][mdn-float64array].
+-   **sy**: index increment for `y`.
+-   **A**: input matrix stored in linear memory as a [`Float64Array`][mdn-float64array].
+-   **lda**: stride of the first dimension of `A` (leading dimension of `A`).
+
+The stride parameters determine how operations are performed. For example, to iterate over every other element in `x` and `y`,
 
 ```javascript
-var dger = require( '@stdlib/blas/base/dger' );
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+var x = new Float64Array( [ 1.0, 0.0, 1.0, 0.0 ] );
+var y = new Float64Array( [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ] );
+
+dger( 'column-major', 2, 3, 1.0, x, 2, y, 2, A, 2 );
+// A => <Float64Array>[ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
 ```
 
-#### TODO
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
 
-TODO
+<!-- eslint-disable stdlib/capitalized-comments -->
 
 ```javascript
-/* to-do */
+var Float64Array = require( '@stdlib/array/float64' );
+
+// Initial arrays...
+var x0 = new Float64Array( [ 0.0, 1.0, 1.0 ] );
+var y0 = new Float64Array( [ 0.0, 1.0, 1.0, 1.0 ] );
+var A = new Float64Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+
+// Create offset views...
+var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dger( 'column-major', 2, 3, 1.0, x1, -1, y1, -1, A, 2 );
+// A => <Float64Array>[ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
 ```
 
-TODO
+#### dger.ndarray( M, N, α, x, sx, ox, y, sy, oy, A, sa1, sa2, oa )
+
+Performs the rank 1 operation `A = α*x*y^T + A`, using alternative indexing semantics and where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector and `A` is an `M` by `N` matrix.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var x = new Float64Array( [ 1.0, 1.0 ] );
+var y = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+
+dger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 );
+// A => <Float64Array>[ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ]
+```
+
+The function has the following additional parameters:
+
+-   **sa1**: stride of the first dimension of `A`.
+-   **sa2**: stride of the second dimension of `A`.
+-   **oa**: starting index for `A`.
+-   **ox**: starting index for `x`.
+-   **oy**: starting index for `y`.
+
+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,
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+var x = new Float64Array( [ 1.0, 0.0, 1.0, 0.0 ] );
+var y = new Float64Array( [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ] );
+
+dger.ndarray( 2, 3, 1.0, x, 2, 0, y, 2, 0, A, 1, 2, 0 );
+// A => <Float64Array>[ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
+```
 
 </section>
 
@@ -56,7 +135,7 @@ TODO
 
 ## Notes
 
--   `dger()` corresponds to the [BLAS][blas] level 2 function [`dger`][dger].
+-   `dger()` corresponds to the [BLAS][blas] level 2 function [`dger`][blas-dger].
 
 </section>
 
@@ -69,7 +148,26 @@ TODO
 <!-- eslint no-undef: "error" -->
 
 ```javascript
-/* to-do */
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var dger = require( '@stdlib/blas/base/dger' );
+
+var opts = {
+    'dtype': 'float64'
+};
+
+var M = 3;
+var N = 5;
+
+var A = discreteUniform( M*N, 0, 255, opts );
+var x = discreteUniform( M, 0, 255, opts );
+var y = discreteUniform( N, 0, 255, opts );
+
+dger( 'row-major', M, N, 1.0, x, 1, y, 1, A, N );
+console.log( A );
+
+dger.ndarray( M, N, 1.0, x, 1, 0, y, 1, 0, A, 1, M, 0 );
+console.log(A);
+
 ```
 
 </section>
@@ -160,7 +258,11 @@ TODO
 
 [blas]: http://www.netlib.org/blas
 
-[dger]: https://www.netlib.org/lapack/explore-html/dc/da8/dger_8f_source.html
+[blas-dger]: https://www.netlib.org/lapack/explore-html-3.6.1/d7/d15/group__double__blas__level2_ga458222e01b4d348e9b52b9343d52f828.html
+
+[mdn-float64array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
 
 </section>
 

lib/node_modules/@stdlib/blas/base/dger/benchmark/benchmark.js

@@ -0,0 +1,105 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var dger = require( './../lib/dger.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array dimension size
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var x = uniform( N, -10.0, 10.0, options );
+	var y = uniform( N, -10.0, 10.0, options );
+	var A = uniform( N*N, -10.0, 10.0, options );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = dger( 'row-major', N, N, 1.0, x, 1, y, 1, A, N );
+			if ( isnan( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( z[ i%z.length ] ) ) {
+			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 = 6; // 10^max
+
+	for ( i = min; i <= max; i++ ) {
+		len = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+		f = createBenchmark( len );
+		bench( pkg+':size='+(len*len), f );
+	}
+}
+
+main();

lib/node_modules/@stdlib/blas/base/dger/benchmark/benchmark.ndarray.js

@@ -0,0 +1,105 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var dger = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array dimension size
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var x = uniform( N, -10.0, 10.0, options );
+	var y = uniform( N, -10.0, 10.0, options );
+	var A = uniform( N*N, -10.0, 10.0, options );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = dger( N, N, 1.0, x, 1, 0, y, 1, 0, A, N, 1, 0 );
+			if ( isnan( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( z[ i%z.length ] ) ) {
+			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 = 6; // 10^max
+
+	for ( i = min; i <= max; i++ ) {
+		len = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+		f = createBenchmark( len );
+		bench( pkg+':ndarray:size='+(len*len), f );
+	}
+}
+
+main();