# gdot
> Calculate the dot product of two vectors.
The [dot product][dot-product] (or scalar product) is defined as
## Usage
```javascript
var gdot = require( '@stdlib/blas/base/gdot' );
```
#### gdot( N, x, strideX, y, strideY )
Calculates the dot product of vectors `x` and `y`.
```javascript
var x = [ 4.0, 2.0, -3.0, 5.0, -1.0 ];
var y = [ 2.0, 6.0, -1.0, -4.0, 8.0 ];
var z = gdot( x.length, x, 1, y, 1 );
// returns -5.0
```
The function has the following parameters:
- **N**: number of indexed elements.
- **x**: first input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
- **strideX**: index increment for `x`.
- **y**: second input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
- **strideY**: index increment for `y`.
The `N` and `stride` parameters determine which elements in `x` and `y` are accessed at runtime. For example, to calculate the dot product of every other value in `x` and the first `N` elements of `y` in reverse order,
```javascript
var floor = require( '@stdlib/math/base/special/floor' );
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
var y = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
var N = floor( x.length / 2 );
var z = gdot( N, x, 2, y, -1 );
// returns 9.0
```
Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
```javascript
var Float64Array = require( '@stdlib/array/float64' );
var floor = require( '@stdlib/math/base/special/floor' );
// Initial arrays...
var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y0 = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
// 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*3 ); // start at 4th element
var N = floor( x0.length / 2 );
var z = gdot( N, x1, -2, y1, 1 );
// returns 128.0
```
#### gdot.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )
Calculates the dot product of `x` and `y` using alternative indexing semantics.
```javascript
var x = [ 4.0, 2.0, -3.0, 5.0, -1.0 ];
var y = [ 2.0, 6.0, -1.0, -4.0, 8.0 ];
var z = gdot.ndarray( x.length, x, 1, 0, y, 1, 0 );
// returns -5.0
```
The function has the following additional parameters:
- **offsetX**: starting index for `x`.
- **offsetY**: starting index for `y`.
While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the `offsetX` and `offsetY` parameters support indexing semantics based on starting indices. For example, to calculate the dot product of every other value in `x` starting from the second value with the last 3 elements in `y` in reverse order
```javascript
var floor = require( '@stdlib/math/base/special/floor' );
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
var N = floor( x.length / 2 );
var z = gdot.ndarray( N, x, 2, 1, y, -1, y.length-1 );
// returns 128.0
```
## Notes
- If `N <= 0` both functions return `0.0`.
- `gdot()` corresponds to the [BLAS][blas] level 1 function [`ddot`][ddot] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`ddot`][@stdlib/blas/base/ddot], [`sdot`][@stdlib/blas/base/sdot], etc.) are likely to be significantly more performant.
## Examples
```javascript
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var Float64Array = require( '@stdlib/array/float64' );
var Uint8ClampedArray = require( '@stdlib/array/uint8c' );
var gdot = require( '@stdlib/blas/base/gdot' );
var x;
var y;
var i;
x = new Float64Array( 10 );
y = new Uint8ClampedArray( 10 );
for ( i = 0; i < x.length; i++ ) {
x[ i ] = round( randu()*500.0 );
y[ i ] = round( randu()*255.0 );
}
console.log( x );
console.log( y );
// Compute the dot product:
var dot = gdot.ndarray( x.length, x, 1, 0, y, -1, y.length-1 );
console.log( dot );
```
[dot-product]: https://en.wikipedia.org/wiki/Dot_product
[blas]: http://www.netlib.org/blas
[ddot]: http://www.netlib.org/lapack/explore-html/de/da4/group__double__blas__level1.html
[mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array
[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
[@stdlib/blas/base/ddot]: https://www.npmjs.com/package/@stdlib/blas/tree/main/base/ddot
[@stdlib/blas/base/sdot]: https://www.npmjs.com/package/@stdlib/blas/tree/main/base/sdot
