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Calculate the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
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stdlib-js/blas-ext-base-dsumkbn
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Calculate the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
npm install @stdlib/blas-ext-base-dsumkbn
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vardsumkbn=require('@stdlib/blas-ext-base-dsumkbn');
Computes the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
varFloat64Array=require('@stdlib/array-float64');varx=newFloat64Array([1.0,-2.0,2.0]);varv=dsumkbn(x.length,x,1);// returns 1.0
The function has the following parameters:
- N: number of indexed elements.
- x: input
Float64Array. - strideX: stride length for
x.
TheN and stride parameters determine which elements in the strided array are accessed at runtime. For example, to compute the sum of every other element:
varFloat64Array=require('@stdlib/array-float64');varx=newFloat64Array([1.0,2.0,2.0,-7.0,-2.0,3.0,4.0,2.0]);varv=dsumkbn(4,x,2);// returns 5.0
Note that indexing is relative to the first index. To introduce an offset, usetyped array views.
varFloat64Array=require('@stdlib/array-float64');varx0=newFloat64Array([2.0,1.0,2.0,-2.0,-2.0,2.0,3.0,4.0]);varx1=newFloat64Array(x0.buffer,x0.BYTES_PER_ELEMENT*1);// start at 2nd elementvarv=dsumkbn(4,x1,2);// returns 5.0
Computes the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm and alternative indexing semantics.
varFloat64Array=require('@stdlib/array-float64');varx=newFloat64Array([1.0,-2.0,2.0]);varv=dsumkbn.ndarray(3,x,1,0);// returns 1.0
The function has the following additional parameters:
- offsetX: starting index for
x.
Whiletyped 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 sum of every other element starting from the second element:
varFloat64Array=require('@stdlib/array-float64');varx=newFloat64Array([2.0,1.0,2.0,-2.0,-2.0,2.0,3.0,4.0]);varv=dsumkbn.ndarray(4,x,2,1);// returns 5.0
- If
N <= 0, both functions return0.0.
vardiscreteUniform=require('@stdlib/random-array-discrete-uniform');vardsumkbn=require('@stdlib/blas-ext-base-dsumkbn');varx=discreteUniform(10,-100,100,{'dtype':'float64'});console.log(x);varv=dsumkbn(x.length,x,1);console.log(v);
#include"stdlib/blas/ext/base/dsumkbn.h"
Computes the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
constdoublex[]= {1.0,2.0,3.0,4.0 };doublev=stdlib_strided_dsumkbn(4,x,1 );// returns 10.0
The function accepts the following arguments:
- N:
[in] CBLAS_INTnumber of indexed elements. - X:
[in] double*input array. - strideX:
[in] CBLAS_INTstride length forX.
doublestdlib_strided_dsumkbn(constCBLAS_INTN,constdouble*X,constCBLAS_INTstrideX );
Computes the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm and alternative indexing semantics.
constdoublex[]= {1.0,2.0,3.0,4.0 };doublev=stdlib_strided_dsumkbn_ndarray(4,x,1,0 );// returns 10.0
The function accepts the following arguments:
- N:
[in] CBLAS_INTnumber of indexed elements. - X:
[in] double*input array. - strideX:
[in] CBLAS_INTstride length forX. - offsetX:
[in] CBLAS_INTstarting index forX.
doublestdlib_strided_dsumkbn_ndarray(constCBLAS_INTN,constdouble*X,constCBLAS_INTstrideX,constCBLAS_INToffsetX );
#include"stdlib/blas/ext/base/dsumkbn.h"#include<stdio.h>intmain(void ) {// Create a strided array:constdoublex[]= {1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0 };// Specify the number of elements:constintN=4;// Specify the stride length:constintstrideX=2;// Compute the sum:doublev=stdlib_strided_dsumkbn(N,x,strideX );// Print the result:printf("sum: %lf\n",v );}
- 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/dnansumkbn:calculate the sum of double-precision floating-point strided array elements, ignoring NaN values and using an improved Kahan–Babuška algorithm.@stdlib/blas-ext/base/dsum:calculate the sum of double-precision floating-point strided array elements.@stdlib/blas-ext/base/dsumkbn2:calculate the sum of double-precision floating-point strided array elements using a second-order iterative Kahan–Babuška algorithm.@stdlib/blas-ext/base/dsumors:calculate the sum of double-precision floating-point strided array elements using ordinary recursive summation.@stdlib/blas-ext/base/dsumpw:calculate the sum of double-precision floating-point strided array elements using pairwise summation.@stdlib/blas-ext/base/gsumkbn:calculate the sum of strided array elements using an improved Kahan–Babuška algorithm.@stdlib/blas-ext/base/ssumkbn:calculate the sum of single-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
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Calculate the sum of double-precision floating-point strided array elements using an improved Kahan–Babuška algorithm.
