time-to-botec/squiggle/node_modules/@stdlib/stats/base/dmeankbn
NunoSempere b6addc7f05 feat: add the node modules
Necessary in order to clearly see the squiggle hotwiring.
2022-12-03 12:44:49 +00:00
..
docs feat: add the node modules 2022-12-03 12:44:49 +00:00
include/stdlib/stats/base feat: add the node modules 2022-12-03 12:44:49 +00:00
lib feat: add the node modules 2022-12-03 12:44:49 +00:00
src feat: add the node modules 2022-12-03 12:44:49 +00:00
binding.gyp feat: add the node modules 2022-12-03 12:44:49 +00:00
include.gypi feat: add the node modules 2022-12-03 12:44:49 +00:00
manifest.json feat: add the node modules 2022-12-03 12:44:49 +00:00
package.json feat: add the node modules 2022-12-03 12:44:49 +00:00
README.md feat: add the node modules 2022-12-03 12:44:49 +00:00

dmeankbn

Calculate the arithmetic mean of a double-precision floating-point strided array using an improved KahanBabuška algorithm.

The arithmetic mean is defined as

Equation for the arithmetic mean.

Usage

var dmeankbn = require( '@stdlib/stats/base/dmeankbn' );

dmeankbn( N, x, stride )

Computes the arithmetic mean of a double-precision floating-point strided array x using an improved KahanBabuška algorithm.

var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
var N = x.length;

var v = dmeankbn( N, x, 1 );
// returns ~0.3333

The function has the following parameters:

  • N: number of indexed elements.
  • x: input Float64Array.
  • stride: index increment for x.

The N and stride parameters determine which elements in x are accessed at runtime. For example, to compute the arithmetic mean of every other element in x,

var Float64Array = require( '@stdlib/array/float64' );
var floor = require( '@stdlib/math/base/special/floor' );

var x = new Float64Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
var N = floor( x.length / 2 );

var v = dmeankbn( N, x, 2 );
// returns 1.25

Note that indexing is relative to the first index. To introduce an offset, use typed array views.

var Float64Array = require( '@stdlib/array/float64' );
var floor = require( '@stdlib/math/base/special/floor' );

var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var N = floor( x0.length / 2 );

var v = dmeankbn( N, x1, 2 );
// returns 1.25

dmeankbn.ndarray( N, x, stride, offset )

Computes the arithmetic mean of a double-precision floating-point strided array using an improved KahanBabuška algorithm and alternative indexing semantics.

var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
var N = x.length;

var v = dmeankbn.ndarray( N, x, 1, 0 );
// returns ~0.33333

The function has the following additional parameters:

  • offset: starting index for x.

While typed array views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to calculate the arithmetic mean for every other value in x starting from the second value

var Float64Array = require( '@stdlib/array/float64' );
var floor = require( '@stdlib/math/base/special/floor' );

var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var N = floor( x.length / 2 );

var v = dmeankbn.ndarray( N, x, 2, 1 );
// returns 1.25

Notes

  • If N <= 0, both functions return NaN.

Examples

var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var Float64Array = require( '@stdlib/array/float64' );
var dmeankbn = require( '@stdlib/stats/base/dmeankbn' );

var x;
var i;

x = new Float64Array( 10 );
for ( i = 0; i < x.length; i++ ) {
    x[ i ] = round( (randu()*100.0) - 50.0 );
}
console.log( x );

var v = dmeankbn( x.length, x, 1 );
console.log( v );

References

  • Neumaier, Arnold. 1974. "Rounding Error Analysis of Some Methods for Summing Finite Sums." Zeitschrift Für Angewandte Mathematik Und Mechanik 54 (1): 3951. doi:10.1002/zamm.19740540106.