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Calculate the dot product of two double-precision floating-point vectors.

The dot product (or scalar product) is defined as

$$\mathbf{x}\cdot\mathbf{y} = \sum_{i=0}^{N-1} x_i y_i = x_0 y_0 + x_1 y_1 + \ldots + x_{N-1} y_{N-1}$$
import ddot from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-ddot@esm/index.mjs';

Calculates the dot product of two double-precision floating-point vectors x and y.

import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
import array from 'https://cdn.jsdelivr.net/gh/stdlib-js/ndarray-array@esm/index.mjs';

var x = array( new Float64Array( [ 4.0, 2.0, -3.0, 5.0, -1.0 ] ) );
var y = array( new Float64Array( [ 2.0, 6.0, -1.0, -4.0, 8.0 ] ) );

var z = ddot( x, y );
// returns <ndarray>

var v = z.get();
// returns -5.0

The function has the following parameters:

  • x: a non-zero-dimensional ndarray whose underlying data type is float64. Must be broadcast-compatible with y.
  • y: a non-zero-dimensional ndarray whose underlying data type is float64. Must be broadcast-compatible with x.
  • dim: dimension for which to compute the dot product. Must be a negative integer. Negative indices are resolved relative to the last array dimension, with the last dimension corresponding to -1. Default: -1.

If provided at least one input ndarray having more than one dimension, the input ndarrays are broadcasted to a common shape. For multi-dimensional input ndarrays, the function performs batched computation, such that the function computes the dot product for each pair of vectors in x and y according to the specified dimension index.

import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
import array from 'https://cdn.jsdelivr.net/gh/stdlib-js/ndarray-array@esm/index.mjs';

var opts = {
    'shape': [ 2, 3 ]
};
var x = array( new Float64Array( [ 4.0, 2.0, -3.0, 5.0, -1.0, 3.0 ] ), opts );
var y = array( new Float64Array( [ 2.0, 6.0, -1.0, -4.0, 8.0, 2.0 ] ), opts );

var z = ddot( x, y );
// returns <ndarray>

var v1 = z.get( 0 );
// returns 23.0

var v2 = z.get( 1 );
// returns -22.0
  • The size of the contracted dimension must be the same for both input ndarrays.
  • The function resolves the dimension index for which to compute the dot product before broadcasting.
  • Negative indices are resolved relative to the last ndarray dimension, with the last dimension corresponding to -1.
  • The output ndarray has the same data type as the input ndarrays and has a shape which is determined by broadcasting and excludes the contracted dimension.
  • If provided empty vectors, the dot product is 0.
  • ddot() provides a higher-level interface to the BLAS level 1 function ddot.
<!DOCTYPE html>
<html lang="en">
<body>
<script type="module">

import discreteUniform from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-array-discrete-uniform@esm/index.mjs';
import ndarray2array from 'https://cdn.jsdelivr.net/gh/stdlib-js/ndarray-to-array@esm/index.mjs';
import array from 'https://cdn.jsdelivr.net/gh/stdlib-js/ndarray-array@esm/index.mjs';
import ddot from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-ddot@esm/index.mjs';

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

var x = array( discreteUniform( 10, 0, 100, opts ), {
    'shape': [ 5, 2 ]
});
console.log( ndarray2array( x ) );

var y = array( discreteUniform( 10, 0, 10, opts ), {
    'shape': x.shape
});
console.log( ndarray2array( y ) );

var z = ddot( x, y, -1 );
console.log( ndarray2array( z ) );

</script>
</body>
</html>


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For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

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