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* @license Apache-2.0
*
* Copyright (c) 2018 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 isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive;
var incrmmean = require( '@stdlib/stats/incr/mmean' );
var format = require( '@stdlib/string/format' );
var abs = require( '@stdlib/math/base/special/abs' );
var atan = require( '@stdlib/math/base/special/atan' );
// MAIN //
/**
* Returns an accumulator function which incrementally computes a moving mean arctangent absolute percentage error.
*
* @param {PositiveInteger} W - window size
* @throws {TypeError} must provide a positive integer
* @returns {Function} accumulator function
*
* @example
* var accumulator = incrmmaape( 3 );
*
* var m = accumulator();
* // returns null
*
* m = accumulator( 2.0, 3.0 );
* // returns ~0.32
*
* m = accumulator( 5.0, 2.0 );
* // returns ~0.65
*
* m = accumulator( 3.0, 2.0 );
* // returns ~0.59
*
* m = accumulator( 2.0, 5.0 );
* // returns ~0.66
*
* m = accumulator();
* // returns ~0.66
*/
function incrmmaape( W ) {
var mean;
if ( !isPositiveInteger( W ) ) {
throw new TypeError( format( 'invalid argument. Must provide a positive integer. Value: `%s`.', W ) );
}
mean = incrmmean( W );
return accumulator;
/**
* If provided input values, the accumulator function returns an updated mean arctangent absolute percentage error. If not provided input values, the accumulator function returns the current mean arctangent absolute percentage error.
*
* @private
* @param {number} [f] - input value
* @param {number} [a] - input value
* @returns {(number|null)} mean arctangent absolute percentage error or null
*/
function accumulator( f, a ) {
if ( arguments.length === 0 ) {
return mean();
}
return mean( atan( abs( (a-f)/a ) ) );
}
}
// EXPORTS //
module.exports = incrmmaape;
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