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* @license Apache-2.0
*
* Copyright (c) 2026 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var stride2offset = require( '@stdlib/strided/base/stride2offset' );
var ndarray = require( './ndarray.js' );
// MAIN //
/**
* Computes the integral of a double-precision floating-point strided array using the trapezoidal rule.
*
* ## Notes
*
* - If `N <= 1`, the function returns `0.0`.
* - The function computes an approximation of the integral using the trapezoidal rule whose accuracy depends on the sample point spacing and the smoothness of the underlying function.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {Float64Array} x - first input array
* @param {integer} strideX - stride length for `x`
* @param {Float64Array} y - second input array
* @param {integer} strideY - stride length for `y`
* @returns {number} integral approximation
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var x = new Float64Array( [ 0.0, 1.0, 2.0, 3.0 ] );
* var y = new Float64Array( [ 0.0, 1.0, 4.0, 9.0 ] );
*
* var out = dtrapezoid( x.length, x, 1, y, 1 );
* // returns 9.5
*/
function dtrapezoid( N, x, strideX, y, strideY ) {
var ix;
var iy;
if ( N <= 1 ) {
return 0.0;
}
ix = stride2offset( N, strideX );
iy = stride2offset( N, strideY );
return ndarray( N, x, strideX, ix, y, strideY, iy );
}
// EXPORTS //
module.exports = dtrapezoid;
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