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/* |
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* Copyright (c) 2019 Rafael da Silva Rocha. |
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* Copyright 2012 Spencer Cohen |
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* |
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* Permission is hereby granted, free of charge, to any person obtaining |
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* a copy of this software and associated documentation files (the |
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* "Software"), to deal in the Software without restriction, including |
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* without limitation the rights to use, copy, modify, merge, publish, |
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* distribute, sublicense, and/or sell copies of the Software, and to |
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* permit persons to whom the Software is furnished to do so, subject to |
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* the following conditions: |
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* |
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* The above copyright notice and this permission notice shall be |
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* included in all copies or substantial portions of the Software. |
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* |
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE |
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* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION |
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* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION |
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* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
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* |
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*/ |
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/** |
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* @fileoverview The Interpolator class. Based on Smooth.js by Spencer Cohen. |
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* @see https://github.com/rochars/wavefile |
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* @see https://github.com/osuushi/Smooth.js |
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*/ |
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/** |
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* A class to get scaled values out of arrays. |
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* @extends WaveFileReader |
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*/ |
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export class Interpolator { |
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/** |
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* @param {number} scaleFrom the length of the original array. |
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* @param {number} scaleTo The length of the new array. |
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* @param {!Object} details The extra configuration, if needed. |
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*/ |
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constructor(scaleFrom, scaleTo, details) { |
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/** |
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* The length of the original array. |
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* @type {number} |
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*/ |
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this.length_ = scaleFrom; |
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/** |
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* The scaling factor. |
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* @type {number} |
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*/ |
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this.scaleFactor_ = (scaleFrom - 1) / scaleTo; |
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/** |
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* The interpolation function. |
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* @type {Function} |
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*/ |
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this.interpolate = this.sinc; |
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if (details.method === 'point') { |
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this.interpolate = this.point; |
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} else if(details.method === 'linear') { |
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this.interpolate = this.linear; |
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} else if(details.method === 'cubic') { |
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this.interpolate = this.cubic; |
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} |
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/** |
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* The tanget factor for cubic interpolation. |
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* @type {number} |
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*/ |
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this.tangentFactor_ = 1 - Math.max(0, Math.min(1, details.tension || 0)); |
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// Configure the kernel for sinc |
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/** |
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* The sinc filter size. |
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* @type {number} |
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*/ |
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this.sincFilterSize_ = details.sincFilterSize || 1; |
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/** |
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* The sinc kernel. |
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* @type {Function} |
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*/ |
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this.kernel_ = sincKernel_(details.sincWindow || window_); |
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} |
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/** |
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* @param {number} t The index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The interpolated value. |
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*/ |
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point(t, samples) { |
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return this.getClippedInput_(Math.round(this.scaleFactor_ * t), samples); |
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} |
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/** |
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* @param {number} t The index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The interpolated value. |
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*/ |
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linear(t, samples) { |
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t = this.scaleFactor_ * t; |
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/** @type {number} */ |
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let k = Math.floor(t); |
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t -= k; |
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return (1 - t) * |
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this.getClippedInput_(k, samples) + t * |
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this.getClippedInput_(k + 1, samples); |
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} |
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/** |
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* @param {number} t The index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The interpolated value. |
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*/ |
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cubic(t, samples) { |
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t = this.scaleFactor_ * t; |
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/** @type {number} */ |
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let k = Math.floor(t); |
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/** @type {Array<number>} */ |
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let m = [this.getTangent_(k, samples), this.getTangent_(k + 1, samples)]; |
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/** @type {Array<number>} */ |
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let p = [this.getClippedInput_(k, samples), |
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this.getClippedInput_(k + 1, samples)]; |
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t -= k; |
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/** @type {number} */ |
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let t2 = t * t; |
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/** @type {number} */ |
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let t3 = t * t2; |
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return (2 * t3 - 3 * t2 + 1) * |
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p[0] + (t3 - 2 * t2 + t) * |
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m[0] + (-2 * t3 + 3 * t2) * |
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p[1] + (t3 - t2) * m[1]; |
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} |
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/** |
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* @param {number} t The index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The interpolated value. |
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*/ |
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sinc(t, samples) { |
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t = this.scaleFactor_ * t; |
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/** @type {number} */ |
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let k = Math.floor(t); |
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/** @type {number} */ |
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let ref = k - this.sincFilterSize_ + 1; |
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/** @type {number} */ |
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let ref1 = k + this.sincFilterSize_; |
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/** @type {number} */ |
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let sum = 0; |
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for (let n = ref; n <= ref1; n++) { |
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sum += this.kernel_(t - n) * this.getClippedInput_(n, samples); |
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} |
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return sum; |
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} |
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/** |
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* @param {number} k The scaled index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The tangent. |
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* @private |
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*/ |
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getTangent_(k, samples) { |
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return this.tangentFactor_ * |
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(this.getClippedInput_(k + 1, samples) - |
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this.getClippedInput_(k - 1, samples)) / 2; |
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} |
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/** |
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* @param {number} t The scaled index to interpolate. |
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* @param {Array<number>|TypedArray} samples the original array. |
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* @return {number} The interpolated value. |
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* @private |
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*/ |
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getClippedInput_(t, samples) { |
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if ((0 <= t && t < this.length_)) { |
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return samples[t]; |
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} |
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return 0; |
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} |
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} |
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/** |
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* The default window function. |
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* @param {number} x The sinc signal. |
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* @return {number} |
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* @private |
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*/ |
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function window_(x) { |
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return Math.exp(-x / 2 * x / 2); |
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} |
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/** |
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* @param {Function} window The window function. |
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* @return {Function} |
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* @private |
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*/ |
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function sincKernel_(window) { |
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return function(x) { return sinc_(x) * window(x); }; |
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} |
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/** |
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* @param {number} x The sinc signal. |
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* @return {number} |
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* @private |
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*/ |
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function sinc_(x) { |
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if (x === 0) { |
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return 1; |
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} |
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return Math.sin(Math.PI * x) / (Math.PI * x); |
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} |
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