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@stdlib/stats-strided-smskmidrange

v0.1.1

Published

Calculate the mid-range of a single-precision floating-point strided array according to a mask.

Readme

smskmidrange

NPM version Build Status Coverage Status

Calculate the mid-range of a single-precision floating-point strided array according to a mask.

The mid-range, or mid-extreme, is the arithmetic mean of the maximum and minimum values in a data set. The measure is the midpoint of the range and a measure of central tendency.

Installation

npm install @stdlib/stats-strided-smskmidrange

Usage

var smskmidrange = require( '@stdlib/stats-strided-smskmidrange' );

smskmidrange( N, x, strideX, mask, strideMask )

Computes the mid-range of a single-precision floating-point strided array according to a mask.

var Float32Array = require( '@stdlib/array-float32' );
var Uint8Array = require( '@stdlib/array-uint8' );

var x = new Float32Array( [ 1.0, -2.0, 4.0, 2.0 ] );
var mask = new Uint8Array( [ 0, 0, 1, 0 ] );

var v = smskmidrange( x.length, x, 1, mask, 1 );
// returns 0.0

The function has the following parameters:

  • N: number of indexed elements.
  • x: input Float32Array.
  • strideX: stride length for x.
  • mask: mask Uint8Array. If a mask array element is 0, the corresponding element in x is considered valid and included in computation. If a mask array element is 1, the corresponding element in x is considered invalid/missing and excluded from computation.
  • strideMask: stride length for mask.

The N and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the mid-range of every other element in x,

var Float32Array = require( '@stdlib/array-float32' );
var Uint8Array = require( '@stdlib/array-uint8' );

var x = new Float32Array( [ 1.0, 2.0, -7.0, -2.0, 4.0, 3.0, 5.0, 6.0 ] );
var mask = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );

var v = smskmidrange( 4, x, 2, mask, 2 );
// returns -1.5

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

var Float32Array = require( '@stdlib/array-float32' );
var Uint8Array = require( '@stdlib/array-uint8' );

var x0 = new Float32Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] );
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var mask0 = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );
var mask1 = new Uint8Array( mask0.buffer, mask0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var v = smskmidrange( 4, x1, 2, mask1, 2 );
// returns 1.0

smskmidrange.ndarray( N, x, strideX, offsetX, mask, strideMask, offsetMask )

Computes the mid-range of a single-precision floating-point strided array according to a mask and using alternative indexing semantics.

var Float32Array = require( '@stdlib/array-float32' );
var Uint8Array = require( '@stdlib/array-uint8' );

var x = new Float32Array( [ 1.0, -2.0, 4.0, 2.0 ] );
var mask = new Uint8Array( [ 0, 0, 1, 0 ] );

var v = smskmidrange.ndarray( x.length, x, 1, 0, mask, 1, 0 );
// returns 0.0

The function has the following additional parameters:

  • offsetX: starting index for x.
  • offsetMask: starting index for mask.

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 mid-range for every other element in x starting from the second element

var Float32Array = require( '@stdlib/array-float32' );
var Uint8Array = require( '@stdlib/array-uint8' );

var x = new Float32Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] );
var mask = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );

var v = smskmidrange.ndarray( 4, x, 2, 1, mask, 2, 1 );
// returns 1.0

Notes

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

Examples

var uniform = require( '@stdlib/random-array-uniform' );
var bernoulli = require( '@stdlib/random-array-bernoulli' );
var smskmidrange = require( '@stdlib/stats-strided-smskmidrange' );

var x = uniform( 10, -50.0, 50.0, {
    'dtype': 'float32'
});
console.log( x );

var mask = bernoulli( x.length, 0.2, {
    'dtype': 'uint8'
});
console.log( mask );

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

C APIs

Usage

#include "stdlib/stats/strided/smskmidrange.h"

stdlib_strided_smskmidrange( N, *X, strideX, *Mask, strideMask )

Computes the mid-range of a single-precision floating-point strided array according to a mask.

#include <stdint.h>

const float x[] = { 1.0f, -2.0f, 2.0f };
const uint8_t mask[] = { 0, 1, 0 };

float v = stdlib_strided_smskmidrange( 3, x, 1, mask, 1 );
// returns 1.5f

The function accepts the following arguments:

  • N: [in] CBLAS_INT number of indexed elements.
  • X: [in] float* input array.
  • strideX: [in] CBLAS_INT stride length for X.
  • Mask: [in] uint8_t* mask array. If a Mask array element is 0, the corresponding element in X is considered valid and included in computation. If a Mask array element is 1, the corresponding element in X is considered invalid/missing and excluded from computation.
  • strideMask: [in] CBLAS_INT stride length for Mask.
float stdlib_strided_smskmidrange( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const uint8_t *Mask, const CBLAS_INT strideMask );

stdlib_strided_smskmidrange_ndarray( N, *X, strideX, offsetX, *Mask, strideMask, offsetMask )

Computes the mid-range of a single-precision floating-point strided array according to a mask and using alternative indexing semantics.

#include <stdint.h>

const float x[] = { 1.0f, -2.0f, 2.0f };
const uint8_t mask[] = { 0, 1, 0 };

float v = stdlib_strided_smskmidrange_ndarray( 3, x, 1, 0, mask, 1, 0 );
// returns 1.5f

The function accepts the following arguments:

  • N: [in] CBLAS_INT number of indexed elements.
  • X: [in] float* input array.
  • strideX: [in] CBLAS_INT stride length for X.
  • offsetX: [in] CBLAS_INT starting index for X.
  • Mask: [in] uint8_t* mask array. If a Mask array element is 0, the corresponding element in X is considered valid and included in computation. If a Mask array element is 1, the corresponding element in X is considered invalid/missing and excluded from computation.
  • strideMask: [in] CBLAS_INT stride length for Mask.
  • offsetMask: [in] CBLAS_INT starting index for Mask.
float stdlib_strided_smskmidrange_ndarray( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const uint8_t *Mask, const CBLAS_INT strideMask, const CBLAS_INT offsetMask );

Examples

#include "stdlib/stats/strided/smskmidrange.h"
#include <stdint.h>
#include <stdio.h>

int main( void ) {
    // Create a strided array:
    const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f };

    // Create a mask array:
    const uint8_t mask[] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 };

    // Specify the number of elements:
    const int N = 5;

    // Specify the stride lengths:
    const int strideX = 2;
    const int strideMask = 2;

    // Compute the mid-range:
    float v = stdlib_strided_smskmidrange( N, x, strideX, mask, strideMask );

    // Print the result:
    printf( "mid-range: %f\n", v );
}

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

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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License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.