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			411 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
			
		
		
	
	
			411 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
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/*
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Smooth.js version 0.1.5
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Turn arrays into smooth functions.
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Copyright 2012 Spencer Cohen
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Licensed under MIT license (see "Smooth.js MIT license.txt")
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*/
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/*Constants (these are accessible by Smooth.WHATEVER in user space)
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*/
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(function() {
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  var AbstractInterpolator, CubicInterpolator, Enum, LinearInterpolator, NearestInterpolator, PI, SincFilterInterpolator, Smooth, clipClamp, clipMirror, clipPeriodic, defaultConfig, getColumn, getType, isValidNumber, k, makeLanczosWindow, makeScaledFunction, makeSincKernel, normalizeScaleTo, root, shallowCopy, sin, sinc, v, validateNumber, validateVector,
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    __hasProp = Object.prototype.hasOwnProperty,
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    __extends = function(child, parent) { for (var key in parent) { if (__hasProp.call(parent, key)) child[key] = parent[key]; } function ctor() { this.constructor = child; } ctor.prototype = parent.prototype; child.prototype = new ctor; child.__super__ = parent.prototype; return child; };
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  Enum = {
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    /*Interpolation methods
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    */
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    METHOD_NEAREST: 'nearest',
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    METHOD_LINEAR: 'linear',
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    METHOD_CUBIC: 'cubic',
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    METHOD_LANCZOS: 'lanczos',
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    METHOD_SINC: 'sinc',
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    /*Input clipping modes
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    */
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    CLIP_CLAMP: 'clamp',
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    CLIP_ZERO: 'zero',
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    CLIP_PERIODIC: 'periodic',
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    CLIP_MIRROR: 'mirror',
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    /* Constants for control over the cubic interpolation tension
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    */
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    CUBIC_TENSION_DEFAULT: 0,
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    CUBIC_TENSION_CATMULL_ROM: 0
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  };
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  defaultConfig = {
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    method: Enum.METHOD_CUBIC,
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    cubicTension: Enum.CUBIC_TENSION_DEFAULT,
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    clip: Enum.CLIP_CLAMP,
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    scaleTo: 0,
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    sincFilterSize: 2,
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    sincWindow: void 0
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  };
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  /*Index clipping functions
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  */
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  clipClamp = function(i, n) {
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    return Math.max(0, Math.min(i, n - 1));
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  };
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  clipPeriodic = function(i, n) {
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    i = i % n;
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    if (i < 0) i += n;
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    return i;
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  };
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  clipMirror = function(i, n) {
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    var period;
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    period = 2 * (n - 1);
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    i = clipPeriodic(i, period);
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    if (i > n - 1) i = period - i;
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    return i;
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  };
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  /*
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  Abstract scalar interpolation class which provides common functionality for all interpolators
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  Subclasses must override interpolate().
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  */
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  AbstractInterpolator = (function() {
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    function AbstractInterpolator(array, config) {
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      var clipHelpers;
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      this.array = array.slice(0);
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      this.length = this.array.length;
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      clipHelpers = {
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        clamp: this.clipHelperClamp,
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        zero: this.clipHelperZero,
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        periodic: this.clipHelperPeriodic,
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        mirror: this.clipHelperMirror
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      };
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      this.clipHelper = clipHelpers[config.clip];
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      if (this.clipHelper == null) throw "Invalid clip: " + config.clip;
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    }
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    AbstractInterpolator.prototype.getClippedInput = function(i) {
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      if ((0 <= i && i < this.length)) {
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        return this.array[i];
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      } else {
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        return this.clipHelper(i);
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      }
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    };
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    AbstractInterpolator.prototype.clipHelperClamp = function(i) {
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      return this.array[clipClamp(i, this.length)];
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    };
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    AbstractInterpolator.prototype.clipHelperZero = function(i) {
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      return 0;
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    };
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    AbstractInterpolator.prototype.clipHelperPeriodic = function(i) {
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      return this.array[clipPeriodic(i, this.length)];
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    };
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    AbstractInterpolator.prototype.clipHelperMirror = function(i) {
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      return this.array[clipMirror(i, this.length)];
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    };
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    AbstractInterpolator.prototype.interpolate = function(t) {
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      throw 'Subclasses of AbstractInterpolator must override the interpolate() method.';
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    };
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    return AbstractInterpolator;
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  })();
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  NearestInterpolator = (function(_super) {
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    __extends(NearestInterpolator, _super);
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    function NearestInterpolator() {
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      NearestInterpolator.__super__.constructor.apply(this, arguments);
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    }
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    NearestInterpolator.prototype.interpolate = function(t) {
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      return this.getClippedInput(Math.round(t));
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    };
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    return NearestInterpolator;
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  })(AbstractInterpolator);
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  LinearInterpolator = (function(_super) {
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    __extends(LinearInterpolator, _super);
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    function LinearInterpolator() {
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      LinearInterpolator.__super__.constructor.apply(this, arguments);
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    }
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    LinearInterpolator.prototype.interpolate = function(t) {
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      var a, b, k;
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      k = Math.floor(t);
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      a = this.getClippedInput(k);
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      b = this.getClippedInput(k + 1);
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      t -= k;
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      return (1 - t) * a + t * b;
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    };
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    return LinearInterpolator;
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  })(AbstractInterpolator);
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  CubicInterpolator = (function(_super) {
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    __extends(CubicInterpolator, _super);
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    function CubicInterpolator(array, config) {
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      this.tangentFactor = 1 - Math.max(0, Math.min(1, config.cubicTension));
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      CubicInterpolator.__super__.constructor.apply(this, arguments);
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    }
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    CubicInterpolator.prototype.getTangent = function(k) {
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      return this.tangentFactor * (this.getClippedInput(k + 1) - this.getClippedInput(k - 1)) / 2;
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    };
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    CubicInterpolator.prototype.interpolate = function(t) {
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      var k, m, p, t2, t3;
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      k = Math.floor(t);
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      m = [this.getTangent(k), this.getTangent(k + 1)];
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      p = [this.getClippedInput(k), this.getClippedInput(k + 1)];
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      t -= k;
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      t2 = t * t;
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      t3 = t * t2;
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      return (2 * t3 - 3 * t2 + 1) * p[0] + (t3 - 2 * t2 + t) * m[0] + (-2 * t3 + 3 * t2) * p[1] + (t3 - t2) * m[1];
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    };
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    return CubicInterpolator;
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  })(AbstractInterpolator);
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  sin = Math.sin, PI = Math.PI;
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  sinc = function(x) {
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    if (x === 0) {
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      return 1;
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    } else {
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      return sin(PI * x) / (PI * x);
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    }
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  };
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  makeLanczosWindow = function(a) {
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    return function(x) {
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      return sinc(x / a);
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    };
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  };
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  makeSincKernel = function(window) {
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    return function(x) {
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      return sinc(x) * window(x);
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    };
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  };
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  SincFilterInterpolator = (function(_super) {
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    __extends(SincFilterInterpolator, _super);
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    function SincFilterInterpolator(array, config) {
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      var window;
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      SincFilterInterpolator.__super__.constructor.apply(this, arguments);
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      this.a = config.sincFilterSize;
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      window = config.sincWindow;
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      if (window == null) throw 'No sincWindow provided';
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      this.kernel = makeSincKernel(window);
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    }
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    SincFilterInterpolator.prototype.interpolate = function(t) {
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      var k, n, sum, _ref, _ref2;
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      k = Math.floor(t);
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      sum = 0;
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      for (n = _ref = k - this.a + 1, _ref2 = k + this.a; _ref <= _ref2 ? n <= _ref2 : n >= _ref2; _ref <= _ref2 ? n++ : n--) {
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        sum += this.kernel(t - n) * this.getClippedInput(n);
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      }
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      return sum;
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    };
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    return SincFilterInterpolator;
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  })(AbstractInterpolator);
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  getColumn = function(arr, i) {
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    var row, _i, _len, _results;
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    _results = [];
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    for (_i = 0, _len = arr.length; _i < _len; _i++) {
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      row = arr[_i];
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      _results.push(row[i]);
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    }
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    return _results;
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  };
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  makeScaledFunction = function(f, baseScale, scaleRange) {
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    var scaleFactor, translation;
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    if (scaleRange.join === '0,1') {
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      return f;
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    } else {
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      scaleFactor = baseScale / (scaleRange[1] - scaleRange[0]);
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      translation = scaleRange[0];
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      return function(t) {
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        return f(scaleFactor * (t - translation));
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      };
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    }
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  };
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  getType = function(x) {
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    return Object.prototype.toString.call(x).slice('[object '.length, -1);
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  };
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  validateNumber = function(n) {
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    if (isNaN(n)) throw 'NaN in Smooth() input';
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    if (getType(n) !== 'Number') throw 'Non-number in Smooth() input';
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    if (!isFinite(n)) throw 'Infinity in Smooth() input';
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  };
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  validateVector = function(v, dimension) {
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    var n, _i, _len, _results;
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    if (getType(v) !== 'Array') throw 'Non-vector in Smooth() input';
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    if (v.length !== dimension) throw 'Inconsistent dimension in Smooth() input';
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    _results = [];
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    for (_i = 0, _len = v.length; _i < _len; _i++) {
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      n = v[_i];
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      _results.push(validateNumber(n));
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    }
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    return _results;
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  };
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  isValidNumber = function(n) {
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    return (getType(n) === 'Number') && isFinite(n) && !isNaN(n);
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  };
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  normalizeScaleTo = function(s) {
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    var invalidErr;
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    invalidErr = "scaleTo param must be number or array of two numbers";
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    switch (getType(s)) {
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      case 'Number':
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        if (!isValidNumber(s)) throw invalidErr;
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        s = [0, s];
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        break;
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      case 'Array':
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        if (s.length !== 2) throw invalidErr;
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        if (!(isValidNumber(s[0]) && isValidNumber(s[1]))) throw invalidErr;
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        break;
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      default:
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        throw invalidErr;
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    }
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    return s;
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  };
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  shallowCopy = function(obj) {
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    var copy, k, v;
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    copy = {};
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    for (k in obj) {
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      if (!__hasProp.call(obj, k)) continue;
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      v = obj[k];
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      copy[k] = v;
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    }
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    return copy;
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  };
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  Smooth = function(arr, config) {
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    var baseScale, dataType, dimension, i, interpolator, interpolatorClass, interpolatorClasses, interpolators, k, n, scaleRange, smoothFunc, v;
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    if (config == null) config = {};
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    config = shallowCopy(config);
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    if (config.scaleTo == null) config.scaleTo = config.period;
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    if (config.sincFilterSize == null) {
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      config.sincFilterSize = config.lanczosFilterSize;
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    }
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    for (k in defaultConfig) {
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      if (!__hasProp.call(defaultConfig, k)) continue;
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      v = defaultConfig[k];
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      if (config[k] == null) config[k] = v;
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    }
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    interpolatorClasses = {
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      nearest: NearestInterpolator,
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      linear: LinearInterpolator,
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      cubic: CubicInterpolator,
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      lanczos: SincFilterInterpolator,
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      sinc: SincFilterInterpolator
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    };
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    interpolatorClass = interpolatorClasses[config.method];
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    if (interpolatorClass == null) throw "Invalid method: " + config.method;
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    if (config.method === 'lanczos') {
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      config.sincWindow = makeLanczosWindow(config.sincFilterSize);
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    }
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    if (arr.length < 2) throw 'Array must have at least two elements';
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    dataType = getType(arr[0]);
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    smoothFunc = (function() {
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      var _i, _j, _len, _len2;
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      switch (dataType) {
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        case 'Number':
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          if (Smooth.deepValidation) {
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            for (_i = 0, _len = arr.length; _i < _len; _i++) {
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              n = arr[_i];
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              validateNumber(n);
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            }
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          }
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          interpolator = new interpolatorClass(arr, config);
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          return function(t) {
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            return interpolator.interpolate(t);
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          };
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        case 'Array':
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          dimension = arr[0].length;
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          if (!dimension) throw 'Vectors must be non-empty';
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          if (Smooth.deepValidation) {
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            for (_j = 0, _len2 = arr.length; _j < _len2; _j++) {
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              v = arr[_j];
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              validateVector(v, dimension);
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            }
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          }
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          interpolators = (function() {
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            var _results;
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            _results = [];
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            for (i = 0; 0 <= dimension ? i < dimension : i > dimension; 0 <= dimension ? i++ : i--) {
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              _results.push(new interpolatorClass(getColumn(arr, i), config));
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            }
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            return _results;
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          })();
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          return function(t) {
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            var interpolator, _k, _len3, _results;
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            _results = [];
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            for (_k = 0, _len3 = interpolators.length; _k < _len3; _k++) {
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              interpolator = interpolators[_k];
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              _results.push(interpolator.interpolate(t));
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            }
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            return _results;
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          };
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        default:
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          throw "Invalid element type: " + dataType;
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      }
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    })();
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    if (config.scaleTo) {
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      scaleRange = normalizeScaleTo(config.scaleTo);
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      if (config.clip === Smooth.CLIP_PERIODIC) {
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        baseScale = arr.length;
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      } else {
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        baseScale = arr.length - 1;
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      }
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      smoothFunc = makeScaledFunction(smoothFunc, baseScale, scaleRange);
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    }
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    return smoothFunc;
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  };
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  for (k in Enum) {
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    if (!__hasProp.call(Enum, k)) continue;
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    v = Enum[k];
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    Smooth[k] = v;
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  }
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  Smooth.deepValidation = true;
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  root = typeof exports !== "undefined" && exports !== null ? exports : window;
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  root.Smooth = Smooth;
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}).call(this);
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