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Calculate the cumulative sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
import dcusumkbn from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-ext-base-dcusumkbn@esm/index.mjs';Computes the cumulative sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
var y = new Float64Array( x.length );
dcusumkbn( x.length, 0.0, x, 1, y, 1 );
// y => <Float64Array>[ 1.0, -1.0, 1.0 ]
x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
y = new Float64Array( x.length );
dcusumkbn( x.length, 10.0, x, 1, y, 1 );
// y => <Float64Array>[ 11.0, 9.0, 11.0 ]The function has the following parameters:
- N: number of indexed elements.
- sum: initial sum.
- x: input
Float64Array. - strideX: stride length for
x. - y: output
Float64Array. - strideY: stride length for
y.
The N and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the cumulative sum of every other element:
import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
var x = new Float64Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
var y = new Float64Array( x.length );
var v = dcusumkbn( 4, 0.0, x, 2, y, 1 );
// y => <Float64Array>[ 1.0, 3.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0 ]Note that indexing is relative to the first index. To introduce an offset, use typed array views.
import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
// Initial arrays...
var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var y0 = new Float64Array( x0.length );
// 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
dcusumkbn( 4, 0.0, x1, -2, y1, 1 );
// y0 => <Float64Array>[ 0.0, 0.0, 0.0, 4.0, 6.0, 4.0, 5.0, 0.0 ]Computes the cumulative sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm and alternative indexing semantics.
import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
var y = new Float64Array( x.length );
dcusumkbn.ndarray( x.length, 0.0, x, 1, 0, y, 1, 0 );
// y => <Float64Array>[ 1.0, -1.0, 1.0 ]The function has the following additional parameters:
- offsetX: starting index for
x. - offsetY: starting index for
y.
While typed array views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to calculate the cumulative sum of every other value in the strided input array starting from the second value and to store in the last N elements of the strided output array starting from the last element:
import Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var y = new Float64Array( x.length );
dcusumkbn.ndarray( 4, 0.0, x, 2, 1, y, -1, y.length-1 );
// y => <Float64Array>[ 0.0, 0.0, 0.0, 0.0, 5.0, 1.0, -1.0, 1.0 ]- If
N <= 0, both functions returnyunchanged.
<!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 Float64Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float64@esm/index.mjs';
import dcusumkbn from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-ext-base-dcusumkbn@esm/index.mjs';
var x = discreteUniform( 10, -100, 100, {
'dtype': 'float64'
});
var y = new Float64Array( x.length );
console.log( x );
console.log( y );
dcusumkbn( x.length, 0.0, x, 1, y, -1 );
console.log( y );
</script>
</body>
</html>- Neumaier, Arnold. 1974. "Rounding Error Analysis of Some Methods for Summing Finite Sums." Zeitschrift Für Angewandte Mathematik Und Mechanik 54 (1): 39–51. doi:10.1002/zamm.19740540106.
@stdlib/blas-ext/base/dcusum: calculate the cumulative sum of double-precision floating-point strided array elements.@stdlib/blas-ext/base/gcusumkbn: calculate the cumulative sum of strided array elements using an improved Kahan–Babuška algorithm.@stdlib/blas-ext/base/scusumkbn: calculate the cumulative sum of single-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
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See LICENSE.
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