JSTests/ChakraCore/test/benchmarks/Kraken/audio-beat-detection.js

/*
 Copyright (C) 2007 Apple Inc.  All rights reserved.

 Redistribution and use in source and binary forms, with or without
 modification, are permitted provided that the following conditions
 are met:
 1. Redistributions of source code must retain the above copyright
    notice, this list of conditions and the following disclaimer.
 2. Redistributions in binary form must reproduce the above copyright
    notice, this list of conditions and the following disclaimer in the
    documentation and/or other materials provided with the distribution.

 THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
 EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL APPLE COMPUTER, INC. OR
 CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
 PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
*/

if(typeof(WScript) === "undefined")
{
    var WScript = {
        Echo: print
    }
}

function record(time) {
    document.getElementById("console").innerHTML = time + "ms";
    if (window.parent) {
        parent.recordResult(time);
    }
}

var console = undefined;
// Audio sample data.
var channels          = 2,
    rate              = 44100,
    frameBufferLength = 2048,
    getFramebuffer    = (function(f) {
      var frames  = f,
          current = 0,
          max     = frames.length - 1;

      return function() {
        if (current == max) {
          current = 0;
        }
        return frames[current++];
      };
    })([
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]);

function runTest(test, iterations) {
 for (var i = 0; i < iterations; i++) {
   test();
 }
}

/*  
 *  DSP.js - a comprehensive digital signal processing  library for javascript 
 *  
 *  Created by Corban Brook <corbanbrook@gmail.com> on 2010-01-01.
 *  Copyright 2010 Corban Brook. All rights reserved.
 *
 */

////////////////////////////////////////////////////////////////////////////////
//                                  CONSTANTS                                 //
////////////////////////////////////////////////////////////////////////////////

/**
 * DSP is an object which contains general purpose utility functions and constants
 */
DSP = {
  // Channels
  LEFT:           0,
  RIGHT:          1,
  MIX:            2,

  // Waveforms
  SINE:           1,
  TRIANGLE:       2,
  SAW:            3,
  SQUARE:         4,

  // Filters 
  LOWPASS:        0,
  HIGHPASS:       1,
  BANDPASS:       2,
  NOTCH:          3,

  // Window functions
  BARTLETT:       1,
  BARTLETTHANN:   2,
  BLACKMAN:       3,
  COSINE:         4,
  GAUSS:          5,
  HAMMING:        6,
  HANN:           7,
  LANCZOS:        8,
  RECTANGULAR:    9,
  TRIANGULAR:     10,

  // Loop modes
  OFF:            0,
  FW:             1,
  BW:             2,
  FWBW:           3,

  // Math
  TWO_PI:         2*Math.PI
};

////////////////////////////////////////////////////////////////////////////////
//                            DSP UTILITY FUNCTIONS                           //
////////////////////////////////////////////////////////////////////////////////

/**
 * Inverts the phase of a signal
 *
 * @param {Array} buffer A sample buffer
 *
 * @returns The inverted sample buffer
 */
DSP.invert = function(buffer) {
  for ( var i = 0, len = buffer.length; i < len; i++ ) {
    buffer[i] *= -1;
  }

  return buffer;
};

/**
 * Converts split-stereo (dual mono) sample buffers into a stereo interleaved sample buffer
 *
 * @param {Array} left  A sample buffer
 * @param {Array} right A sample buffer
 *
 * @returns The stereo interleaved buffer
 */
DSP.interleave = function(left, right) {
  if ( left.length !== right.length ) {
    throw "Can not interleave. Channel lengths differ.";
  }
  
  var stereoInterleaved = new Array(left.length * 2);
  
  for (var i = 0, len = left.length; i < len; i++ ) {
    stereoInterleaved[2*i]   = left[i];
    stereoInterleaved[2*i+1] = right[i];
  }
  
  return stereoInterleaved;
};

/**
 * Converts a stereo-interleaved sample buffer into split-stereo (dual mono) sample buffers
 *
 * @param {Array} buffer A stereo-interleaved sample buffer
 *
 * @returns an Array containing left and right channels
 */
DSP.deinterleave = function(buffer) {
  var left  = new Array(buffer.length/2);
  var right = new Array(buffer.length/2);
  var mix   = new Array(buffer.length/2);
  
  for (var i = 0, len = buffer.length/2; i < len; i ++ ) {
    left[i]  = buffer[2*i];
    right[i] = buffer[2*i+1];
    mix[i]   = (left[i] + right[i]) / 2;
  }
  
  return [left, right, mix];
};

/**
 * Separates a channel from a stereo-interleaved sample buffer
 *
 * @param {Array}  buffer A stereo-interleaved sample buffer
 * @param {Number} channel A channel constant (LEFT, RIGHT, MIX)
 *
 * @returns an Array containing a signal mono sample buffer
 */
DSP.getChannel = function(channel, buffer) {
  return DSP.deinterleave(buffer)[channel];
};

// Biquad filter types
DSP.LPF = 0;       // H(s) = 1 / (s^2 + s/Q + 1)
DSP.HPF = 1;       // H(s) = s^2 / (s^2 + s/Q + 1)
DSP.BPF_CONSTANT_SKIRT = 2;       // H(s) = s / (s^2 + s/Q + 1)  (constant skirt gain, peak gain = Q)
DSP.BPF_CONSTANT_PEAK = 3;       // H(s) = (s/Q) / (s^2 + s/Q + 1)      (constant 0 dB peak gain)
DSP.NOTCH = 4;     // H(s) = (s^2 + 1) / (s^2 + s/Q + 1)
DSP.APF = 5;       // H(s) = (s^2 - s/Q + 1) / (s^2 + s/Q + 1)
DSP.PEAKING_EQ = 6;  // H(s) = (s^2 + s*(A/Q) + 1) / (s^2 + s/(A*Q) + 1)
DSP.LOW_SHELF = 7;   // H(s) = A * (s^2 + (sqrt(A)/Q)*s + A)/(A*s^2 + (sqrt(A)/Q)*s + 1)
DSP.HIGH_SHELF = 8;   // H(s) = A * (A*s^2 + (sqrt(A)/Q)*s + 1)/(s^2 + (sqrt(A)/Q)*s + A)

// Biquad filter parameter types
DSP.Q = 1;
DSP.BW = 2; // SHARED with BACKWARDS LOOP MODE
DSP.S = 3;


/** 
 * DFT is a class for calculating the Discrete Fourier Transform of a signal.
 *
 * @param {Number} bufferSize The size of the sample buffer to be computed
 * @param {Number} sampleRate The sampleRate of the buffer (eg. 44100)
 *
 * @constructor
 */
DFT = function(bufferSize, sampleRate) {
  this.bufferSize = bufferSize;
  this.sampleRate = sampleRate;

  var N = bufferSize/2 * bufferSize;
      
  this.sinTable = new Array(N);
  this.cosTable = new Array(N);
  
  for ( var i = 0; i < N; i++ ) {
    this.sinTable[i] = Math.sin(i * DSP.TWO_PI / bufferSize);
    this.cosTable[i] = Math.cos(i * DSP.TWO_PI / bufferSize);
  }
  
  this.spectrum = new Array(bufferSize/2);
  this.complexValues = new Array(bufferSize/2);
};

/**
 * Performs a forward tranform on the sample buffer. 
 * Converts a time domain signal to frequency domain spectra.
 *
 * @param {Array} buffer The sample buffer
 *
 * @returns The frequency spectrum array
 */
DFT.prototype.forward = function(buffer) {
  var real, imag;

  for ( var k = 0; k < this.bufferSize/2; k++ ) {
    real = 0.0;
    imag = 0.0;

    for ( var n = 0; n < buffer.length; n++ ) {
      real += this.cosTable[k*n] * buffer[n];
      imag += this.sinTable[k*n] * buffer[n];
    }

    this.complexValues[k] = {real: real, imag: imag};
  }
  
  for ( var i = 0; i < this.bufferSize/2; i++ ) {
    this.spectrum[i] = 2 * Math.sqrt(Math.pow(this.complexValues[i].real, 2) + Math.pow(this.complexValues[i].imag, 2)) / this.bufferSize;
  }

  return this.spectrum;
};


/** 
 * FFT is a class for calculating the Discrete Fourier Transform of a signal 
 * with the Fast Fourier Transform algorithm.
 *
 * @param {Number} bufferSize The size of the sample buffer to be computed. Must be power of 2
 * @param {Number} sampleRate The sampleRate of the buffer (eg. 44100)
 *
 * @constructor
 */
FFT = function(bufferSize, sampleRate) {
  this.bufferSize = bufferSize;
  this.sampleRate = sampleRate;
  this.spectrum         = new Array(bufferSize/2);
  this.real             = new Array(bufferSize);
  this.imag             = new Array(bufferSize);
    
  this.reverseTable     = new Array(bufferSize);
  for (var i = 0; i < this.reverseTable.length; i++) {
    this.reverseTable[i] = 0;
  }

  var limit = 1;
  var bit = bufferSize >> 1;

  while ( limit < bufferSize ) {
    for ( var i = 0; i < limit; i++ ) {
      this.reverseTable[i + limit] = this.reverseTable[i] + bit;
    }

    limit = limit << 1;
    bit = bit >> 1;
  }

  this.sinTable = new Array(bufferSize);
  this.cosTable = new Array(bufferSize);

  for ( var i = 0; i < bufferSize; i++ ) {
    this.sinTable[i] = Math.sin(-Math.PI/i);
    this.cosTable[i] = Math.cos(-Math.PI/i);
  }
};

/**
 * Performs a forward tranform on the sample buffer. 
 * Converts a time domain signal to frequency domain spectra.
 *
 * @param {Array} buffer The sample buffer. Buffer Length must be power of 2
 *
 * @returns The frequency spectrum array
 */
FFT.prototype.forward = function(buffer) {
  // Locally scope variables for speed up
  var bufferSize      = this.bufferSize,
      cosTable        = this.cosTable,
      sinTable        = this.sinTable,
      reverseTable    = this.reverseTable,
      real            = this.real,
      imag            = this.imag,
      spectrum        = this.spectrum;

  var k = Math.floor(Math.log(bufferSize) / Math.LN2);
  if ( Math.pow(2, k) !== bufferSize ) { throw "Invalid buffer size, must be a power of 2."; }
  if ( bufferSize !== buffer.length ) { throw "Supplied buffer is not the same size as defined FFT. FFT Size: " + bufferSize + " Buffer Size: " + buffer.length; }

  for ( var i = 0; i < bufferSize; i++ ) {
    real[i] = buffer[reverseTable[i]];
    imag[i] = 0;
  }

  var halfSize = 1, 
      phaseShiftStepReal, 
      phaseShiftStepImag, 
      currentPhaseShiftReal, 
      currentPhaseShiftImag, 
      off, 
      tr, 
      ti, 
      tmpReal, 
      i;

  while ( halfSize < bufferSize ) {
    phaseShiftStepReal = cosTable[halfSize];
    phaseShiftStepImag = sinTable[halfSize];
    currentPhaseShiftReal = 1;
    currentPhaseShiftImag = 0;

    for ( var fftStep = 0; fftStep < halfSize; fftStep++ ) {
      i = fftStep;

      while ( i < bufferSize ) {
        off = i + halfSize;
        tr = (currentPhaseShiftReal * real[off]) - (currentPhaseShiftImag * imag[off]);
        ti = (currentPhaseShiftReal * imag[off]) + (currentPhaseShiftImag * real[off]);

        real[off] = real[i] - tr;
        imag[off] = imag[i] - ti;
        real[i] += tr;
        imag[i] += ti;

        i += halfSize << 1;
      }

      tmpReal = currentPhaseShiftReal;
      currentPhaseShiftReal = (tmpReal * phaseShiftStepReal) - (currentPhaseShiftImag * phaseShiftStepImag);
      currentPhaseShiftImag = (tmpReal * phaseShiftStepImag) + (currentPhaseShiftImag * phaseShiftStepReal);
    }

    halfSize = halfSize << 1;
  }

  i = bufferSize/2;
  while(i--) {
    spectrum[i] = 2 * Math.sqrt(real[i] * real[i] + imag[i] * imag[i]) / bufferSize;
  }

  return spectrum;
};

FFT.prototype.inverse = function(real, imag) {
  // Locally scope variables for speed up
  var bufferSize      = this.bufferSize,
      cosTable        = this.cosTable,
      sinTable        = this.sinTable,
      reverseTable    = this.reverseTable,
      spectrum        = this.spectrum;
      
      real = real || this.real;
      imag = imag || this.imag;

  for (var i = 0; i < bufferSize; i++) {
    imag[i] *= -1;
  }

  var revReal = new Array(bufferSize);
  var revImag = new Array(bufferSize);
  
  for (var i = 0; i < real.length; i++) {
    revReal[i] = real[reverseTable[i]];
    revImag[i] = imag[reverseTable[i]];
  }
  
  real = revReal;
  imag = revImag;

  var halfSize = 1, 
      phaseShiftStepReal, 
      phaseShiftStepImag, 
      currentPhaseShiftReal, 
      currentPhaseShiftImag, 
      off, 
      tr, 
      ti, 
      tmpReal, 
      i;

  while ( halfSize < bufferSize ) {
    phaseShiftStepReal = cosTable[halfSize];
    phaseShiftStepImag = sinTable[halfSize];
    currentPhaseShiftReal = 1;
    currentPhaseShiftImag = 0;

    for ( var fftStep = 0; fftStep < halfSize; fftStep++ ) {
      i = fftStep;

      while ( i < bufferSize ) {
        off = i + halfSize;
        tr = (currentPhaseShiftReal * real[off]) - (currentPhaseShiftImag * imag[off]);
        ti = (currentPhaseShiftReal * imag[off]) + (currentPhaseShiftImag * real[off]);

        real[off] = real[i] - tr;
        imag[off] = imag[i] - ti;
        real[i] += tr;
        imag[i] += ti;

        i += halfSize << 1;
      }

      tmpReal = currentPhaseShiftReal;
      currentPhaseShiftReal = (tmpReal * phaseShiftStepReal) - (currentPhaseShiftImag * phaseShiftStepImag);
      currentPhaseShiftImag = (tmpReal * phaseShiftStepImag) + (currentPhaseShiftImag * phaseShiftStepReal);
    }

    halfSize = halfSize << 1;
  }

  var buffer = new Array(bufferSize);
  for (var i = 0; i < bufferSize; i++) {
    buffer[i] = real[i] / bufferSize;
  }

  return buffer;
};

Sampler = function Sampler(file, bufferSize, sampleRate, playStart, playEnd, loopStart, loopEnd, loopMode) {
  this.file = file;
  this.bufferSize = bufferSize;
  this.sampleRate = sampleRate;
  this.playStart  = playStart || 0; // 0%
  this.playEnd    = playEnd   || 1; // 100%
  this.loopStart  = loopStart || 0;
  this.loopEnd    = loopEnd   || 1;
  this.loopMode   = loopMode  || DSP.OFF;
  this.loaded     = false;
  this.samples    = [];
  this.signal     = new Array(bufferSize);
  this.frameCount = 0;
  this.envelope   = null;
  this.amplitude  = 1;
  this.rootFrequency = 110; // A2 110
  this.frequency  = 550;
  this.step       = this.frequency / this.rootFrequency;
  this.duration   = 0;
  this.samplesProcessed = 0;
  this.playhead   = 0;
  
  var audio = /* new Audio();*/ document.createElement("AUDIO");
  var self = this;
  
  this.loadSamples = function(event) {
    var buffer = DSP.getChannel(DSP.MIX, event.frameBuffer);
    for ( var i = 0; i < buffer.length; i++) {
      self.samples.push(buffer[i]);
    }
  };
  
  this.loadComplete = function() {
    // convert flexible js array into a fast typed array
    self.samples = new Array(self.samples);
    self.loaded = true;
  };
  
  this.loadMetaData = function() {
    self.duration = audio.duration;
  };
  
  audio.addEventListener("MozAudioAvailable", this.loadSamples, false);
  audio.addEventListener("loadedmetadata", this.loadMetaData, false)
  audio.addEventListener("ended", this.loadComplete, false);
  audio.muted = true;
  audio.src = file;
  audio.play();
};

Sampler.prototype.applyEnvelope = function() {
  this.envelope.process(this.signal);
  return this.signal;
};

Sampler.prototype.generate = function() {
  var frameOffset = this.frameCount * this.bufferSize;
  
  var loopWidth = this.playEnd * this.samples.length - this.playStart * this.samples.length;
  var playStartSamples = this.playStart * this.samples.length; // ie 0.5 -> 50% of the length
  var playEndSamples = this.playEnd * this.samples.length; // ie 0.5 -> 50% of the length
  var offset;

  for ( var i = 0; i < this.bufferSize; i++ ) {
    switch (this.loopMode) {
      case DSP.OFF:
        this.playhead = Math.round(this.samplesProcessed * this.step + playStartSamples);
        if (this.playhead < (this.playEnd * this.samples.length) ) {
          this.signal[i] = this.samples[this.playhead] * this.amplitude;
        } else {
          this.signal[i] = 0;
        }
        break;
      
      case DSP.FW:
        this.playhead = Math.round((this.samplesProcessed * this.step) % loopWidth + playStartSamples);
        if (this.playhead < (this.playEnd * this.samples.length) ) {
          this.signal[i] = this.samples[this.playhead] * this.amplitude;
        }
        break;
        
      case DSP.BW:
        this.playhead = playEndSamples - Math.round((this.samplesProcessed * this.step) % loopWidth);
        if (this.playhead < (this.playEnd * this.samples.length) ) {
          this.signal[i] = this.samples[this.playhead] * this.amplitude;
        }
        break;
        
      case DSP.FWBW:
        if ( Math.floor(this.samplesProcessed * this.step / loopWidth) % 2 == 0 ) {
          this.playhead = Math.round((this.samplesProcessed * this.step) % loopWidth + playStartSamples);
        } else {
          this.playhead = playEndSamples - Math.round((this.samplesProcessed * this.step) % loopWidth);
        }   
        if (this.playhead < (this.playEnd * this.samples.length) ) {
          this.signal[i] = this.samples[this.playhead] * this.amplitude;
        }
        break;
    }
    this.samplesProcessed++;
  }

  this.frameCount++;

  return this.signal;
};

Sampler.prototype.setFreq = function(frequency) {
  this.frequency = frequency;
  this.step = this.frequency / this.rootFrequency;
};

Sampler.prototype.reset = function() {
  this.samplesProcessed = 0;
  this.playhead = 0;
};

/**
 * Oscillator class for generating and modifying signals
 *
 * @param {Number} type       A waveform constant (eg. DSP.SINE)
 * @param {Number} frequency  Initial frequency of the signal
 * @param {Number} amplitude  Initial amplitude of the signal
 * @param {Number} bufferSize Size of the sample buffer to generate
 * @param {Number} sampleRate The sample rate of the signal
 *
 * @contructor
 */
Oscillator = function Oscillator(type, frequency, amplitude, bufferSize, sampleRate) {
  this.frequency  = frequency;
  this.amplitude  = amplitude;
  this.bufferSize = bufferSize;
  this.sampleRate = sampleRate;
  //this.pulseWidth = pulseWidth;
  this.frameCount = 0;
  
  this.waveTableLength = 2048;

  this.cyclesPerSample = frequency / sampleRate;

  this.signal = new Array(bufferSize);
  this.envelope = null;

  switch(parseInt(type)) {
    case DSP.TRIANGLE:
      this.func = Oscillator.Triangle;
      break;

    case DSP.SAW:
      this.func = Oscillator.Saw;
      break;

    case DSP.SQUARE:
      this.func = Oscillator.Square;
      break;

    case DSP.SINE:
    default:
      this.func = Oscillator.Sine;
      break;
  }

  this.generateWaveTable = function() {
    Oscillator.waveTable[this.func] = new Array(2048);
    var waveTableTime = this.waveTableLength / this.sampleRate;
    var waveTableHz = 1 / waveTableTime;

    for (var i = 0; i < this.waveTableLength; i++) {
      Oscillator.waveTable[this.func][i] = this.func(i * waveTableHz/this.sampleRate);
    }
  };

  if ( typeof Oscillator.waveTable === 'undefined' ) {
    Oscillator.waveTable = {};
  }

  if ( typeof Oscillator.waveTable[this.func] === 'undefined' ) { 
    this.generateWaveTable();
  }
  
  this.waveTable = Oscillator.waveTable[this.func];
}; 

/**
 * Set the amplitude of the signal
 *
 * @param {Number} amplitude The amplitude of the signal (between 0 and 1)
 */
Oscillator.prototype.setAmp = function(amplitude) {
  if (amplitude >= 0 && amplitude <= 1) {
    this.amplitude = amplitude;
  } else {
    throw "Amplitude out of range (0..1).";
  }
};
   
/**
 * Set the frequency of the signal
 * 
 * @param {Number} frequency The frequency of the signal
 */   
Oscillator.prototype.setFreq = function(frequency) {
  this.frequency = frequency;
  this.cyclesPerSample = frequency / this.sampleRate;
};
      
// Add an oscillator
Oscillator.prototype.add = function(oscillator) {
  for ( var i = 0; i < this.bufferSize; i++ ) {
    //this.signal[i] += oscillator.valueAt(i);
    this.signal[i] += oscillator.signal[i];
  }
  
  return this.signal;
};
      
// Add a signal to the current generated osc signal
Oscillator.prototype.addSignal = function(signal) {
  for ( var i = 0; i < signal.length; i++ ) {
    if ( i >= this.bufferSize ) {
      break;
    }
    this.signal[i] += signal[i];
    
    /*
    // Constrain amplitude
    if ( this.signal[i] > 1 ) {
      this.signal[i] = 1;
    } else if ( this.signal[i] < -1 ) {
      this.signal[i] = -1;
    }
    */
  }
  return this.signal;
};
      
// Add an envelope to the oscillator
Oscillator.prototype.addEnvelope = function(envelope) {
  this.envelope = envelope;
};

Oscillator.prototype.applyEnvelope = function() {
  this.envelope.process(this.signal);
};
      
Oscillator.prototype.valueAt = function(offset) {
  return this.waveTable[offset % this.waveTableLength];
};
      
Oscillator.prototype.generate = function() {
  var frameOffset = this.frameCount * this.bufferSize;
  var step = this.waveTableLength * this.frequency / this.sampleRate;
  var offset;

  for ( var i = 0; i < this.bufferSize; i++ ) {
    //var step = (frameOffset + i) * this.cyclesPerSample % 1;
    //this.signal[i] = this.func(step) * this.amplitude;
    //this.signal[i] = this.valueAt(Math.round((frameOffset + i) * step)) * this.amplitude; 
    offset = Math.round((frameOffset + i) * step);
    this.signal[i] = this.waveTable[offset % this.waveTableLength] * this.amplitude;
  }

  this.frameCount++;

  return this.signal;
};

Oscillator.Sine = function(step) {
  return Math.sin(DSP.TWO_PI * step);
};

Oscillator.Square = function(step) {
  return step < 0.5 ? 1 : -1;
};

Oscillator.Saw = function(step) {
  return 2 * (step - Math.round(step));
};

Oscillator.Triangle = function(step) {
  return 1 - 4 * Math.abs(Math.round(step) - step);
};

Oscillator.Pulse = function(step) {
  // stub
};
  
ADSR = function(attackLength, decayLength, sustainLevel, sustainLength, releaseLength, sampleRate) {
  this.sampleRate = sampleRate;
  // Length in seconds
  this.attackLength  = attackLength;
  this.decayLength   = decayLength;
  this.sustainLevel  = sustainLevel;
  this.sustainLength = sustainLength;
  this.releaseLength = releaseLength;
  this.sampleRate    = sampleRate;
  
  // Length in samples
  this.attackSamples  = attackLength  * sampleRate;
  this.decaySamples   = decayLength   * sampleRate;
  this.sustainSamples = sustainLength * sampleRate;
  this.releaseSamples = releaseLength * sampleRate;
  
  // Updates the envelope sample positions
  this.update = function() {
    this.attack         =                this.attackSamples;
    this.decay          = this.attack  + this.decaySamples;
    this.sustain        = this.decay   + this.sustainSamples;
    this.release        = this.sustain + this.releaseSamples;
  };
  
  this.update();
  
  this.samplesProcessed = 0;
};


ADSR.prototype.noteOn = function() {
  this.samplesProcessed = 0;
  this.sustainSamples = this.sustainLength * this.sampleRate;
  this.update();
};

// Send a note off when using a sustain of infinity to let the envelope enter the release phase
ADSR.prototype.noteOff = function() {
  this.sustainSamples = this.samplesProcessed - this.decaySamples;
  this.update();
};

ADSR.prototype.processSample = function(sample) {
  var amplitude = 0;

  if ( this.samplesProcessed <= this.attack ) {
    amplitude = 0 + (1 - 0) * ((this.samplesProcessed - 0) / (this.attack - 0));
  } else if ( this.samplesProcessed > this.attack && this.samplesProcessed <= this.decay ) {
    amplitude = 1 + (this.sustainLevel - 1) * ((this.samplesProcessed - this.attack) / (this.decay - this.attack));
  } else if ( this.samplesProcessed > this.decay && this.samplesProcessed <= this.sustain ) {
    amplitude = this.sustainLevel;
  } else if ( this.samplesProcessed > this.sustain && this.samplesProcessed <= this.release ) {
    amplitude = this.sustainLevel + (0 - this.sustainLevel) * ((this.samplesProcessed - this.sustain) / (this.release - this.sustain));
  }
  
  return sample * amplitude;
};

ADSR.prototype.value = function() {
  var amplitude = 0;

  if ( this.samplesProcessed <= this.attack ) {
    amplitude = 0 + (1 - 0) * ((this.samplesProcessed - 0) / (this.attack - 0));
  } else if ( this.samplesProcessed > this.attack && this.samplesProcessed <= this.decay ) {
    amplitude = 1 + (this.sustainLevel - 1) * ((this.samplesProcessed - this.attack) / (this.decay - this.attack));
  } else if ( this.samplesProcessed > this.decay && this.samplesProcessed <= this.sustain ) {
    amplitude = this.sustainLevel;
  } else if ( this.samplesProcessed > this.sustain && this.samplesProcessed <= this.release ) {
    amplitude = this.sustainLevel + (0 - this.sustainLevel) * ((this.samplesProcessed - this.sustain) / (this.release - this.sustain));
  }
  
  return amplitude;
};
      
ADSR.prototype.process = function(buffer) {
  for ( var i = 0; i < buffer.length; i++ ) {
    buffer[i] *= this.value();

    this.samplesProcessed++;
  }
  
  return buffer;
};
      
      
ADSR.prototype.isActive = function() {
  if ( this.samplesProcessed > this.release || this.samplesProcessed === -1 ) {
    return false;
  } else {
    return true;
  }
};

ADSR.prototype.disable = function() {
  this.samplesProcessed = -1;
};
  
IIRFilter = function(type, cutoff, resonance, sampleRate) {
  this.sampleRate = sampleRate;
  this.cutoff     = cutoff;
  this.resonance  = resonance;

  switch(type) {
    case DSP.LOWPASS:
    case DSP.LP12:
      this.func = new IIRFilter.LP12(cutoff, resonance, sampleRate);
      break;
  }
}

IIRFilter.prototype.set = function(cutoff, resonance) {
  this.func.calcCoeff(cutoff, resonance);
}

IIRFilter.prototype.process = function(buffer) {
  this.func.process(buffer);
}

// Add an envelope to the filter
IIRFilter.prototype.addEnvelope = function(envelope) {
  if ( envelope instanceof ADSR ) {
    this.func.addEnvelope(envelope);
  } else {
    throw "Not an envelope.";
  }
};

IIRFilter.LP12 = function(cutoff, resonance, sampleRate) {
  this.sampleRate = sampleRate;
  this.vibraPos   = 0; 
  this.vibraSpeed = 0;
  this.envelope = false;
  
  this.calcCoeff = function(cutoff, resonance) {
    this.w = 2.0 * Math.PI * cutoff / this.sampleRate;
    this.q = 1.0 - this.w / (2.0 * (resonance + 0.5 / (1.0 + this.w)) + this.w - 2.0);
    this.r = this.q * this.q;
    this.c = this.r + 1.0 - 2.0 * Math.cos(this.w) * this.q;
    
    this.cutoff = cutoff;
    this.resonance = resonance;
  };

  this.calcCoeff(cutoff, resonance);

  this.process = function(buffer) {
    for ( var i = 0; i < buffer.length; i++ ) {
      this.vibraSpeed += (buffer[i] - this.vibraPos) * this.c;
      this.vibraPos   += this.vibraSpeed;
      this.vibraSpeed *= this.r;
    
      /* 
      var temp = this.vibraPos;
      
      if ( temp > 1.0 ) {
        temp = 1.0;
      } else if ( temp < -1.0 ) {
        temp = -1.0;
      } else if ( temp != temp ) {
        temp = 1;
      }
      
      buffer[i] = temp;
      */ 

      if (this.envelope) {
        buffer[i] = (buffer[i] * (1 - this.envelope.value())) + (this.vibraPos * this.envelope.value());
        this.envelope.samplesProcessed++;
      } else {
        buffer[i] = this.vibraPos;
      }
    }
  }
};  

IIRFilter.LP12.prototype.addEnvelope = function(envelope) {
  this.envelope = envelope;
};



IIRFilter2 = function(type, cutoff, resonance, sampleRate) {
  this.type = type; 
  this.cutoff = cutoff;
  this.resonance = resonance;
  this.sampleRate = sampleRate;

  this.f = Array(4);
  this.f[0] = 0.0; // lp
  this.f[1] = 0.0; // hp
  this.f[2] = 0.0; // bp
  this.f[3] = 0.0; // br  
  
  this.calcCoeff = function(cutoff, resonance) {
    this.freq = 2 * Math.sin(Math.PI * Math.min(0.25, cutoff/(this.sampleRate*2)));   
    this.damp = Math.min(2 * (1 - Math.pow(resonance, 0.25)), Math.min(2, 2/this.freq - this.freq * 0.5));
  };

  this.calcCoeff(cutoff, resonance);
};

IIRFilter2.prototype.process = function(buffer) {
  var input, output;
  var f = this.f;

  for ( var i = 0; i < buffer.length; i++ ) {
    input = buffer[i]; 

    // first pass
    f[3] = input - this.damp * f[2];
    f[0] = f[0] + this.freq * f[2];
    f[1] = f[3] - f[0];
    f[2] = this.freq * f[1] + f[2];
    output = 0.5 * f[this.type];

    // second pass
    f[3] = input - this.damp * f[2];
    f[0] = f[0] + this.freq * f[2];
    f[1] = f[3] - f[0];
    f[2] = this.freq * f[1] + f[2];
    output += 0.5 * f[this.type];

    if (this.envelope) {
      buffer[i] = (buffer[i] * (1 - this.envelope.value())) + (output * this.envelope.value());
      this.envelope.samplesProcessed++;
    } else {
      buffer[i] = output;
    }
  }
};

IIRFilter2.prototype.addEnvelope = function(envelope) {
  if ( envelope instanceof ADSR ) {
    this.envelope = envelope;
  } else {
    throw "This is not an envelope.";
  }
};

IIRFilter2.prototype.set = function(cutoff, resonance) {
  this.calcCoeff(cutoff, resonance); 
};



WindowFunction = function(type, alpha) {
  this.alpha = alpha;
  
  switch(type) {
    case DSP.BARTLETT:
      this.func = WindowFunction.Bartlett;
      break;
      
    case DSP.BARTLETTHANN:
      this.func = WindowFunction.BartlettHann;
      break;
      
    case DSP.BLACKMAN:
      this.func = WindowFunction.Blackman;
      this.alpha = this.alpha || 0.16;
      break;
    
    case DSP.COSINE:
      this.func = WindowFunction.Cosine;
      break;
      
    case DSP.GAUSS:
      this.func = WindowFunction.Gauss;
      this.alpha = this.alpha || 0.25;
      break;
      
    case DSP.HAMMING:
      this.func = WindowFunction.Hamming;
      break;
      
    case DSP.HANN:
      this.func = WindowFunction.Hann;
      break;
    
    case DSP.LANCZOS:
      this.func = WindowFunction.Lanczoz;
      break;
      
    case DSP.RECTANGULAR:
      this.func = WindowFunction.Rectangular;
      break;
      
    case DSP.TRIANGULAR:
      this.func = WindowFunction.Triangular;
      break;
  }
};

WindowFunction.prototype.process = function(buffer) {
  var length = buffer.length;
  for ( var i = 0; i < length; i++ ) {
    buffer[i] *= this.func(length, i, this.alpha);
  }
  return buffer;
};

WindowFunction.Bartlett = function(length, index) {
  return 2 / (length - 1) * ((length - 1) / 2 - Math.abs(index - (length - 1) / 2));
};

WindowFunction.BartlettHann = function(length, index) {
  return 0.62 - 0.48 * Math.abs(index / (length - 1) - 0.5) - 0.38 * Math.cos(DSP.TWO_PI * index / (length - 1));
};

WindowFunction.Blackman = function(length, index, alpha) {
  var a0 = (1 - alpha) / 2;
  var a1 = 0.5;
  var a2 = alpha / 2;

  return a0 - a1 * Math.cos(DSP.TWO_PI * index / (length - 1)) + a2 * Math.cos(4 * Math.PI * index / (length - 1));
};

WindowFunction.Cosine = function(length, index) {
  return Math.cos(Math.PI * index / (length - 1) - Math.PI / 2);
};

WindowFunction.Gauss = function(length, index, alpha) {
  return Math.pow(Math.E, -0.5 * Math.pow((index - (length - 1) / 2) / (alpha * (length - 1) / 2), 2));
};

WindowFunction.Hamming = function(length, index) {
  return 0.54 - 0.46 * Math.cos(DSP.TWO_PI * index / (length - 1));
};

WindowFunction.Hann = function(length, index) {
  return 0.5 * (1 - Math.cos(DSP.TWO_PI * index / (length - 1)));
};

WindowFunction.Lanczos = function(length, index) {
  var x = 2 * index / (length - 1) - 1;
  return Math.sin(Math.PI * x) / (Math.PI * x);
};

WindowFunction.Rectangular = function(length, index) {
  return 1;
};

WindowFunction.Triangular = function(length, index) {
  return 2 / length * (length / 2 - Math.abs(index - (length - 1) / 2));
};

function sinh (arg) {
    // Returns the hyperbolic sine of the number, defined as (exp(number) - exp(-number))/2  
    // 
    // version: 1004.2314
    // discuss at: http://phpjs.org/functions/sinh    // +   original by: Onno Marsman
    // *     example 1: sinh(-0.9834330348825909);
    // *     returns 1: -1.1497971402636502
    return (Math.exp(arg) - Math.exp(-arg))/2;
}


/*  
 *  Biquad filter
 *  
 *  Created by Ricard Marxer <email@ricardmarxer.com> on 2010-05-23.
 *  Copyright 2010 Ricard Marxer. All rights reserved.
 *
 */
// Implementation based on:
// http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt
Biquad = function(type, sampleRate) {
  this.Fs = sampleRate;
  this.type = type;  // type of the filter
  this.parameterType = DSP.Q; // type of the parameter

  this.x_1_l = 0;
  this.x_2_l = 0;
  this.y_1_l = 0;
  this.y_2_l = 0;

  this.x_1_r = 0;
  this.x_2_r = 0;
  this.y_1_r = 0;
  this.y_2_r = 0;

  this.b0 = 1;
  this.a0 = 1;

  this.b1 = 0;
  this.a1 = 0;

  this.b2 = 0;
  this.a2 = 0;

  this.b0a0 = this.b0 / this.a0;
  this.b1a0 = this.b1 / this.a0;
  this.b2a0 = this.b2 / this.a0;
  this.a1a0 = this.a1 / this.a0;
  this.a2a0 = this.a2 / this.a0;

  this.f0 = 3000; // "wherever it's happenin', man."  Center Frequency or
        // Corner Frequency, or shelf midpoint frequency, depending
        // on which filter type.  The "significant frequency".

  this.dBgain = 12; // used only for peaking and shelving filters

  this.Q = 1;  // the EE kind of definition, except for peakingEQ in which A*Q is
           // the classic EE Q.  That adjustment in definition was made so that
           // a boost of N dB followed by a cut of N dB for identical Q and
               // f0/Fs results in a precisely flat unity gain filter or "wire".

  this.BW = -3; // the bandwidth in octaves (between -3 dB frequencies for BPF
           // and notch or between midpoint (dBgain/2) gain frequencies for
           // peaking EQ

  this.S = 1;  // a "shelf slope" parameter (for shelving EQ only).  When S = 1,
           // the shelf slope is as steep as it can be and remain monotonically
           // increasing or decreasing gain with frequency.  The shelf slope, in
           // dB/octave, remains proportional to S for all other values for a
           // fixed f0/Fs and dBgain.

  this.coefficients = function() {
    var b = [this.b0, this.b1, this.b2];
    var a = [this.a0, this.a1, this.a2];
    return {b: b, a:a};
  }

  this.setFilterType = function(type) {
    this.type = type;
    this.recalculateCoefficients();
  }

  this.setSampleRate = function(rate) {
    this.Fs = rate;
    this.recalculateCoefficients();
  }

  this.setQ = function(q) {
    this.parameterType = DSP.Q;
    this.Q = Math.max(Math.min(q, 115.0), 0.001);
    this.recalculateCoefficients();
  }

  this.setBW = function(bw) {
    this.parameterType = DSP.BW;
    this.BW = bw;
    this.recalculateCoefficients();
  } 

  this.setS = function(s) {
    this.parameterType = DSP.S;
    this.S = Math.max(Math.min(s, 5.0), 0.0001);
    this.recalculateCoefficients();
  }  

  this.setF0 = function(freq) {
    this.f0 = freq;
    this.recalculateCoefficients();
  }  
  
  this.setDbGain = function(g) {
    this.dBgain = g;
    this.recalculateCoefficients();
  }

  this.recalculateCoefficients = function() {
    var A;
    if (type == DSP.PEAKING_EQ || type == DSP.LOW_SHELF || type == DSP.HIGH_SHELF ) {
      A = Math.pow(10, (this.dBgain/40));  // for peaking and shelving EQ filters only
    } else {
      A  = Math.sqrt( Math.pow(10, (this.dBgain/20)) );    
    }

    var w0 = DSP.TWO_PI * this.f0 / this.Fs;

    var cosw0 = Math.cos(w0);
    var sinw0 = Math.sin(w0);

    var alpha = 0;
    
    switch (this.parameterType) {
      case DSP.Q:
    alpha = sinw0/(2*this.Q);
    break;
      
      case DSP.BW:
        alpha = sinw0 * sinh( Math.LN2/2 * this.BW * w0/sinw0 );
    break;

      case DSP.S:
        alpha = sinw0/2 * Math.sqrt( (A + 1/A)*(1/this.S - 1) + 2 );
    break;
    }

    /**
        FYI: The relationship between bandwidth and Q is
             1/Q = 2*sinh(ln(2)/2*BW*w0/sin(w0))     (digital filter w BLT)
        or   1/Q = 2*sinh(ln(2)/2*BW)             (analog filter prototype)

        The relationship between shelf slope and Q is
             1/Q = sqrt((A + 1/A)*(1/S - 1) + 2)
    */

    switch (this.type) {
      case DSP.LPF:       // H(s) = 1 / (s^2 + s/Q + 1)
        this.b0 =  (1 - cosw0)/2;
        this.b1 =   1 - cosw0;
        this.b2 =  (1 - cosw0)/2;
        this.a0 =   1 + alpha;
        this.a1 =  -2 * cosw0;
        this.a2 =   1 - alpha;
        break;

      case DSP.HPF:       // H(s) = s^2 / (s^2 + s/Q + 1)
        this.b0 =  (1 + cosw0)/2;
        this.b1 = -(1 + cosw0);
        this.b2 =  (1 + cosw0)/2;
        this.a0 =   1 + alpha;
        this.a1 =  -2 * cosw0;
        this.a2 =   1 - alpha;
        break;

      case DSP.BPF_CONSTANT_SKIRT:       // H(s) = s / (s^2 + s/Q + 1)  (constant skirt gain, peak gain = Q)
        this.b0 =   sinw0/2;
        this.b1 =   0;
        this.b2 =  -sinw0/2;
        this.a0 =   1 + alpha;
        this.a1 =  -2*cosw0;
        this.a2 =   1 - alpha;
          break;

      case DSP.BPF_CONSTANT_PEAK:       // H(s) = (s/Q) / (s^2 + s/Q + 1)      (constant 0 dB peak gain)
        this.b0 =   alpha;
        this.b1 =   0;
        this.b2 =  -alpha;
        this.a0 =   1 + alpha;
        this.a1 =  -2*cosw0;
        this.a2 =   1 - alpha;
          break;

      case DSP.NOTCH:     // H(s) = (s^2 + 1) / (s^2 + s/Q + 1)
        this.b0 =   1;
        this.b1 =  -2*cosw0;
        this.b2 =   1;
        this.a0 =   1 + alpha;
        this.a1 =  -2*cosw0;
        this.a2 =   1 - alpha;
          break;

      case DSP.APF:       // H(s) = (s^2 - s/Q + 1) / (s^2 + s/Q + 1)
        this.b0 =   1 - alpha;
        this.b1 =  -2*cosw0;
        this.b2 =   1 + alpha;
        this.a0 =   1 + alpha;
        this.a1 =  -2*cosw0;
        this.a2 =   1 - alpha;
          break;

      case DSP.PEAKING_EQ:  // H(s) = (s^2 + s*(A/Q) + 1) / (s^2 + s/(A*Q) + 1)
        this.b0 =   1 + alpha*A;
        this.b1 =  -2*cosw0;
        this.b2 =   1 - alpha*A;
        this.a0 =   1 + alpha/A;
        this.a1 =  -2*cosw0;
        this.a2 =   1 - alpha/A;
          break;

      case DSP.LOW_SHELF:   // H(s) = A * (s^2 + (sqrt(A)/Q)*s + A)/(A*s^2 + (sqrt(A)/Q)*s + 1)
          var coeff = sinw0 * Math.sqrt( (A^2 + 1)*(1/this.S - 1) + 2*A );
        this.b0 =    A*( (A+1) - (A-1)*cosw0 + coeff );
        this.b1 =  2*A*( (A-1) - (A+1)*cosw0                   );
        this.b2 =    A*( (A+1) - (A-1)*cosw0 - coeff );
        this.a0 =        (A+1) + (A-1)*cosw0 + coeff;
        this.a1 =   -2*( (A-1) + (A+1)*cosw0                   );
        this.a2 =        (A+1) + (A-1)*cosw0 - coeff;
          break;

      case DSP.HIGH_SHELF:   // H(s) = A * (A*s^2 + (sqrt(A)/Q)*s + 1)/(s^2 + (sqrt(A)/Q)*s + A)
          var coeff = sinw0 * Math.sqrt( (A^2 + 1)*(1/this.S - 1) + 2*A );
        this.b0 =    A*( (A+1) + (A-1)*cosw0 + coeff );
        this.b1 = -2*A*( (A-1) + (A+1)*cosw0                   );
        this.b2 =    A*( (A+1) + (A-1)*cosw0 - coeff );
        this.a0 =        (A+1) - (A-1)*cosw0 + coeff;
        this.a1 =    2*( (A-1) - (A+1)*cosw0                   );
        this.a2 =        (A+1) - (A-1)*cosw0 - coeff;
          break;
    }
    
    this.b0a0 = this.b0/this.a0;
    this.b1a0 = this.b1/this.a0;
    this.b2a0 = this.b2/this.a0;
    this.a1a0 = this.a1/this.a0;
    this.a2a0 = this.a2/this.a0;
  }

  this.process = function(buffer) {
      //y[n] = (b0/a0)*x[n] + (b1/a0)*x[n-1] + (b2/a0)*x[n-2]
      //       - (a1/a0)*y[n-1] - (a2/a0)*y[n-2]

      var len = buffer.length;
      var output = new Array(len);

      for ( var i=0; i<buffer.length; i++ ) {
          output[i] = this.b0a0*buffer[i] + this.b1a0*this.x_1_l + this.b2a0*this.x_2_l - this.a1a0*this.y_1_l - this.a2a0*this.y_2_l;
          this.y_2_l = this.y_1_l;
          this.y_1_l = output[i];
          this.x_2_l = this.x_1_l;
          this.x_1_l = buffer[i];
      }

      return output;
  }

  this.processStereo = function(buffer) {
      //y[n] = (b0/a0)*x[n] + (b1/a0)*x[n-1] + (b2/a0)*x[n-2]
      //       - (a1/a0)*y[n-1] - (a2/a0)*y[n-2]

      var len = buffer.length;
      var output = new Array(len);
      
      for ( var i=0; i<len/2; i++ ) {
        output[2*i] = this.b0a0*buffer[2*i] + this.b1a0*this.x_1_l + this.b2a0*this.x_2_l - this.a1a0*this.y_1_l - this.a2a0*this.y_2_l;
          this.y_2_l = this.y_1_l;
          this.y_1_l = output[2*i];
          this.x_2_l = this.x_1_l;
          this.x_1_l = buffer[2*i];

          output[2*i+1] = this.b0a0*buffer[2*i+1] + this.b1a0*this.x_1_r + this.b2a0*this.x_2_r - this.a1a0*this.y_1_r - this.a2a0*this.y_2_r;
          this.y_2_r = this.y_1_r;
          this.y_1_r = output[2*i+1];
          this.x_2_r = this.x_1_r;
          this.x_1_r = buffer[2*i+1];
      }

      return output;
  }
};


/*  
 *  Magnitude to decibels
 *  
 *  Created by Ricard Marxer <email@ricardmarxer.com> on 2010-05-23.
 *  Copyright 2010 Ricard Marxer. All rights reserved.
 *
 *  @buffer array of magnitudes to convert to decibels
 * 
 *  @returns the array in decibels
 *
 */
DSP.mag2db = function(buffer) {
  var minDb = -120;
  var minMag = Math.pow(10.0, minDb / 20.0);

  var log = Math.log;
  var max = Math.max;
  
  var result = Array(buffer.length);
  for (var i=0; i<buffer.length; i++) {
    result[i] = 20.0*log(max(buffer[i], minMag));
  }

  return result;
};

/*  
 *  Frequency response
 *  
 *  Created by Ricard Marxer <email@ricardmarxer.com> on 2010-05-23.
 *  Copyright 2010 Ricard Marxer. All rights reserved.
 *
 *  Calculates the frequency response at the given points.
 *
 *  @b b coefficients of the filter
 *  @a a coefficients of the filter
 *  @w w points (normally between -PI and PI) where to calculate the frequency response
 * 
 *  @returns the frequency response in magnitude
 *
 */
DSP.freqz = function(b, a, w) {
  if (!w) {
    w = Array(200);
    for (var i=0;i<w.length; i++) {
      w[i] = DSP.TWO_PI/w.length * i - Math.PI;
    }
  }

  var result = Array(w.length);
  
  var sqrt = Math.sqrt;
  var cos = Math.cos;
  var sin = Math.sin;
  
  for (var i=0; i<w.length; i++) {
    var numerator = {real:0.0, imag:0.0};
    for (var j=0; j<b.length; j++) {
      numerator.real += b[j] * cos(-j*w[i]);
      numerator.imag += b[j] * sin(-j*w[i]);
    }

    var denominator = {real:0.0, imag:0.0};
    for (var j=0; j<a.length; j++) {
      denominator.real += a[j] * cos(-j*w[i]);
      denominator.imag += a[j] * sin(-j*w[i]);
    }
  
    result[i] =  sqrt(numerator.real*numerator.real + numerator.imag*numerator.imag) / sqrt(denominator.real*denominator.real + denominator.imag*denominator.imag);
  }

  return result;
};

/*  
 *  Graphical Equalizer
 *  
 *  Created by Ricard Marxer <email@ricardmarxer.com> on 2010-05-23.
 *  Copyright 2010 Ricard Marxer. All rights reserved.
 *
 */
// Implementation of a graphic equalizer with a configurable bands-per-octave
// and minimum and maximum frequencies
GraphicalEq = function(sampleRate) {
  this.FS = sampleRate;
  this.minFreq = 40.0;
  this.maxFreq = 16000.0;

  this.bandsPerOctave = 1.0;

  this.filters = []
  this.freqzs = []

  this.calculateFreqzs = true;

  this.recalculateFilters = function() {
    var bandCount = Math.round(Math.log(this.maxFreq/this.minFreq) * this.bandsPerOctave/ Math.LN2);

    this.filters = [];
    for (var i=0; i<bandCount; i++) {
      var freq = this.minFreq*(Math.pow(2, i/this.bandsPerOctave));
      var newFilter = new Biquad(DSP.PEAKING_EQ, this.FS);
      newFilter.setDbGain(0);
      newFilter.setBW(1/this.bandsPerOctave);
      newFilter.setF0(freq);
      this.filters[i] = newFilter;
      this.recalculateFreqz(i);
    }
  }

  this.setMinimumFrequency = function(freq) {
    this.minFreq = freq;
    this.recalculateFilters();
  }

  this.setMaximumFrequency = function(freq) {
    this.maxFreq = freq;
    this.recalculateFilters();
  }

  this.setBandsPerOctave = function(bands) {
    this.bandsPerOctave = bands;
    this.recalculateFilters();
  }

  this.setBandGain = function(bandIndex, gain) {
    if (bandIndex < 0 || bandIndex > (this.filters.length-1)) {
      throw "The band index of the graphical equalizer is out of bounds.";
      return;
    }

    if (!gain) {
      throw "A gain must be passed."
      return;
    }
    
    
    this.filters[bandIndex].setDbGain(gain);
    this.recalculateFreqz(bandIndex);
  }
  
  this.recalculateFreqz = function(bandIndex) {
    if (!this.calculateFreqzs) {
      return;
    }

    
    if (bandIndex < 0 || bandIndex > (this.filters.length-1)) {
      throw "The band index of the graphical equalizer is out of bounds. " + bandIndex + " is out of [" + 0 + ", " + this.filters.length-1 + "]"
      return;
    }
        
    if (!this.w) {
      this.w = Array(400);
      for (var i=0; i<this.w.length; i++) {
         this.w[i] = Math.PI/this.w.length * i;
      }
    }
    
    var b = [this.filters[bandIndex].b0, this.filters[bandIndex].b1, this.filters[bandIndex].b2];
    var a = [this.filters[bandIndex].a0, this.filters[bandIndex].a1, this.filters[bandIndex].a2];

    this.freqzs[bandIndex] = DSP.mag2db(DSP.freqz(b, a, this.w));
  }

  this.process = function(buffer) {
      var output = buffer;
      
      for ( var i=0; i<this.filters.length; i++ ) {
    output = this.filters[i].process(output);
      }

      return output;
  }

  this.processStereo = function(buffer) {
      var output = buffer;
      
      for ( var i=0; i<this.filters.length; i++ ) {
    output = this.filters[i].processStereo(output);
      }

      return output;
  }

}



/**
 * MultiDelay effect by Almer Thie (http://code.almeros.com).
 * Copyright 2010 Almer Thie. All rights reserved.
 * Example: http://code.almeros.com/code-examples/delay-firefox-audio-api/
 * 
 * This is a delay that feeds it's own delayed signal back into its circular 
 * buffer. Also known as a CombFilter.
 *
 * Compatible with interleaved stereo (or more channel) buffers and 
 * non-interleaved mono buffers.
 * 
 * @param {Number} maxDelayInSamplesSize Maximum possible delay in samples (size of circular buffer)
 * @param {Number} delayInSamples Initial delay in samples
 * @param {Number} masterVolume Initial master volume. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * @param {Number} delayVolume Initial feedback delay volume. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * 
 * @constructor
 */
MultiDelay = function(maxDelayInSamplesSize, delayInSamples, masterVolume, delayVolume){
    this.delayBufferSamples     = new Array(maxDelayInSamplesSize); // The maximum size of delay
    this.delayInputPointer      = delayInSamples; 
    this.delayOutputPointer     = 0;
    
    this.delayInSamples     = delayInSamples;
    this.masterVolume       = masterVolume;
    this.delayVolume        = delayVolume;
}

/**
 * Change the delay time in samples.
 *
 * @param {Number} delayInSamples Delay in samples
 */
MultiDelay.prototype.setDelayInSamples = function (delayInSamples){
    this.delayInSamples = delayInSamples;
    
    this.delayInputPointer = this.delayOutputPointer + delayInSamples;
    if(this.delayInputPointer >= this.delayBufferSamples.length-1)
        this.delayInputPointer = this.delayInputPointer - this.delayBufferSamples.length;   
}

/**
 * Change the master volume.
 *
 * @param {Number} masterVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
MultiDelay.prototype.setMasterVolume = function (masterVolume){
    this.masterVolume = masterVolume;
}

/**
 * Change the delay feedback volume.
 *
 * @param {Number} delayVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
MultiDelay.prototype.setDelayVolume = function (delayVolume){
    this.delayVolume = delayVolume;
}

/**
 * Process a given interleaved or mono non-interleaved float value Array and adds the delayed audio.
 *
 * @param {Array} samples Array containing Float values or a Float32Array
 * 
 * @returns A new Float32Array interleaved or mono non-interleaved as was fed to this function.
 */
MultiDelay.prototype.process = function (samples){
    // NB. Make a copy to put in the output samples to return. 
    var outputSamples = new Array(samples.length);

    for(var i=0; i<samples.length; i++){
    
        // delayBufferSamples could contain initial NULL's, return silence in that case
        var delaySample = (this.delayBufferSamples[this.delayOutputPointer]==null ? 0.0 : this.delayBufferSamples[this.delayOutputPointer]);
        
        // Mix normal audio data with delayed audio
        var sample = (delaySample * this.delayVolume) + samples[i]; 
        
        // Add audio data with the delay in the delay buffer
        this.delayBufferSamples[this.delayInputPointer] = sample;
        
        // Return the audio with delay mix
        outputSamples[i] = sample * this.masterVolume;
        
        // Manage circulair delay buffer pointers
        this.delayInputPointer++;
        if(this.delayInputPointer >= this.delayBufferSamples.length-1)
            this.delayInputPointer = 0;
            
        this.delayOutputPointer++;
        if(this.delayOutputPointer >= this.delayBufferSamples.length-1)
            this.delayOutputPointer = 0;    
            
    }
    
    return outputSamples;
}




/**
 * SingleDelay effect by Almer Thie (http://code.almeros.com).
 * Copyright 2010 Almer Thie. All rights reserved.
 * Example: See usage in Reverb class
 * 
 * This is a delay that does NOT feeds it's own delayed signal back into its  
 * circular buffer, neither does it return the original signal. Also known as 
 * an AllPassFilter(?).
 *
 * Compatible with interleaved stereo (or more channel) buffers and 
 * non-interleaved mono buffers.
 * 
 * @param {Number} maxDelayInSamplesSize Maximum possible delay in samples (size of circular buffer)
 * @param {Number} delayInSamples Initial delay in samples
 * @param {Number} delayVolume Initial feedback delay volume. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * 
 * @constructor
 */
SingleDelay = function(maxDelayInSamplesSize, delayInSamples, delayVolume){
    this.delayBufferSamples     = new Array(maxDelayInSamplesSize); // The maximum size of delay
    this.delayInputPointer      = delayInSamples; 
    this.delayOutputPointer     = 0;
    
    this.delayInSamples     = delayInSamples;
    this.delayVolume        = delayVolume;
}

/**
 * Change the delay time in samples.
 *
 * @param {Number} delayInSamples Delay in samples
 */
SingleDelay.prototype.setDelayInSamples = function (delayInSamples){
    this.delayInSamples = delayInSamples;
    
    this.delayInputPointer = this.delayOutputPointer + delayInSamples;
    if(this.delayInputPointer >= this.delayBufferSamples.length-1)
        this.delayInputPointer = this.delayInputPointer - this.delayBufferSamples.length;   
}

/**
 * Change the return signal volume.
 *
 * @param {Number} delayVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
SingleDelay.prototype.setDelayVolume = function (delayVolume){
    this.delayVolume = delayVolume;
}

/**
 * Process a given interleaved or mono non-interleaved float value Array and 
 * returns the delayed audio.
 *
 * @param {Array} samples Array containing Float values or a Float32Array
 * 
 * @returns A new Float32Array interleaved or mono non-interleaved as was fed to this function.
 */
SingleDelay.prototype.process = function (samples){
    // NB. Make a copy to put in the output samples to return. 
    var outputSamples = new Array(samples.length);

    for(var i=0; i<samples.length; i++){

        // Add audio data with the delay in the delay buffer
        this.delayBufferSamples[this.delayInputPointer] = samples[i];
        
        // delayBufferSamples could contain initial NULL's, return silence in that case
        var delaySample = this.delayBufferSamples[this.delayOutputPointer];

        // Return the audio with delay mix
        outputSamples[i] = delaySample * this.delayVolume;

        
        // Manage circulair delay buffer pointers
        this.delayInputPointer++;
        if(this.delayInputPointer >= this.delayBufferSamples.length-1)
            this.delayInputPointer = 0;
            
        this.delayOutputPointer++;
        if(this.delayOutputPointer >= this.delayBufferSamples.length-1)
            this.delayOutputPointer = 0;    
            
    }
    
    return outputSamples;
}





/**
 * Reverb effect by Almer Thie (http://code.almeros.com).
 * Copyright 2010 Almer Thie. All rights reserved.
 * Example: http://code.almeros.com/code-examples/reverb-firefox-audio-api/
 * 
 * This reverb consists of 6 SingleDelays, 6 MultiDelays and an IIRFilter2 
 * for each of the two stereo channels.
 *
 * Compatible with interleaved stereo buffers only!
 * 
 * @param {Number} maxDelayInSamplesSize Maximum possible delay in samples (size of circular buffers)
 * @param {Number} delayInSamples Initial delay in samples for internal (Single/Multi)delays
 * @param {Number} masterVolume Initial master volume. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * @param {Number} mixVolume Initial reverb signal mix volume. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * @param {Number} delayVolume Initial feedback delay volume for internal (Single/Multi)delays. Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 * @param {Number} dampFrequency Initial low pass filter frequency. 0 to 44100 (depending on your maximum sampling frequency)
 * 
 * @constructor
 */
Reverb = function(maxDelayInSamplesSize, delayInSamples, masterVolume, mixVolume, delayVolume, dampFrequency){
    this.delayInSamples     = delayInSamples;
    this.masterVolume       = masterVolume;
    this.mixVolume          = mixVolume;
    this.delayVolume        = delayVolume;
    this.dampFrequency      = dampFrequency;
    
    this.NR_OF_MULTIDELAYS = 6;
    this.NR_OF_SINGLEDELAYS = 6;
    
    this.LOWPASSL = new IIRFilter2(DSP.LOWPASS, dampFrequency, 0, 44100);
    this.LOWPASSR = new IIRFilter2(DSP.LOWPASS, dampFrequency, 0, 44100);
    
    this.singleDelays = [];
    for(var i = 0; i<this.NR_OF_SINGLEDELAYS; i++){
        var delayMultiply = 1.0 + (i/7.0); // 1.0, 1.1, 1.2... 
        this.singleDelays[i] = new SingleDelay(maxDelayInSamplesSize, Math.round(this.delayInSamples * delayMultiply), this.delayVolume);
    }
    
    this.multiDelays = [];
    for(var i = 0; i<this.NR_OF_MULTIDELAYS; i++){
        var delayMultiply = 1.0 + (i/10.0); // 1.0, 1.1, 1.2...  
        this.multiDelays[i] = new MultiDelay(maxDelayInSamplesSize, Math.round(this.delayInSamples * delayMultiply), this.masterVolume, this.delayVolume);
    }
}

/**
 * Change the delay time in samples as a base for all delays.
 *
 * @param {Number} delayInSamples Delay in samples
 */
Reverb.prototype.setDelayInSamples = function (delayInSamples){
    this.delayInSamples = delayInSamples;
    
    for(var i = 0; i<this.NR_OF_SINGLEDELAYS; i++){
        var delayMultiply = 1.0 + (i/7.0); // 1.0, 1.1, 1.2...
        this.singleDelays[i].setDelayInSamples( Math.round(this.delayInSamples * delayMultiply) );
    }
        
    for(var i = 0; i<this.NR_OF_MULTIDELAYS; i++){
        var delayMultiply = 1.0 + (i/10.0); // 1.0, 1.1, 1.2...
        this.multiDelays[i].setDelayInSamples( Math.round(this.delayInSamples * delayMultiply) );
    }
}

/**
 * Change the master volume.
 *
 * @param {Number} masterVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
Reverb.prototype.setMasterVolume = function (masterVolume){
    this.masterVolume = masterVolume;
}

/**
 * Change the reverb signal mix level.
 *
 * @param {Number} mixVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
Reverb.prototype.setMixVolume = function (mixVolume){
    this.mixVolume = mixVolume;
}

/**
 * Change all delays feedback volume.
 *
 * @param {Number} delayVolume Float value: 0.0 (silence), 1.0 (normal), >1.0 (amplify)
 */
Reverb.prototype.setDelayVolume = function (delayVolume){
    this.delayVolume = delayVolume;
    
    for(var i = 0; i<this.NR_OF_SINGLEDELAYS; i++){
        this.singleDelays[i].setDelayVolume(this.delayVolume);
    }   
    
    for(var i = 0; i<this.NR_OF_MULTIDELAYS; i++){
        this.multiDelays[i].setDelayVolume(this.delayVolume);
    }   
}

/**
 * Change the Low Pass filter frequency.
 *
 * @param {Number} dampFrequency low pass filter frequency. 0 to 44100 (depending on your maximum sampling frequency)
 */
Reverb.prototype.setDampFrequency = function (dampFrequency){
    this.dampFrequency = dampFrequency;
    
    this.LOWPASSL.set(dampFrequency, 0);
    this.LOWPASSR.set(dampFrequency, 0);    
}

/**
 * Process a given interleaved float value Array and copies and adds the reverb signal.
 *
 * @param {Array} samples Array containing Float values or a Float32Array
 * 
 * @returns A new Float32Array interleaved buffer.
 */
Reverb.prototype.process = function (interleavedSamples){   
    // NB. Make a copy to put in the output samples to return. 
    var outputSamples = new Array(interleavedSamples.length);
    
    // Perform low pass on the input samples to mimick damp
    var leftRightMix = DSP.deinterleave(interleavedSamples);
    this.LOWPASSL.process( leftRightMix[DSP.LEFT] );
    this.LOWPASSR.process( leftRightMix[DSP.RIGHT] );   
    var filteredSamples = DSP.interleave(leftRightMix[DSP.LEFT], leftRightMix[DSP.RIGHT]);

    // Process MultiDelays in parallel
    for(var i = 0; i<this.NR_OF_MULTIDELAYS; i++){
        // Invert the signal of every even multiDelay
        outputSamples = mixSampleBuffers(outputSamples, this.multiDelays[i].process(filteredSamples), 2%i==0, this.NR_OF_MULTIDELAYS);
    }
    
    // Process SingleDelays in series
    var singleDelaySamples = new Array(outputSamples.length);
    for(var i = 0; i<this.NR_OF_SINGLEDELAYS; i++){
        // Invert the signal of every even singleDelay
        singleDelaySamples = mixSampleBuffers(singleDelaySamples, this.singleDelays[i].process(outputSamples), 2%i==0, 1); 
    }

    // Apply the volume of the reverb signal
    for(var i = 0; i<singleDelaySamples.length; i++){
        singleDelaySamples[i] *= this.mixVolume;
    }
    
    // Mix the original signal with the reverb signal
    outputSamples = mixSampleBuffers(singleDelaySamples, interleavedSamples, 0, 1); 

    // Apply the master volume to the complete signal
    for(var i = 0; i<outputSamples.length; i++){
        outputSamples[i] *= this.masterVolume;
    }
        
    return outputSamples;
}

/**
 * Helper method (for Reverb) to mix two (interleaved) samplebuffers. It's possible 
 * to negate the second buffer while mixing and to perform a volume correction 
 * on the final signal.
 * 
 * @param {Array} sampleBuffer1 Array containing Float values or a Float32Array
 * @param {Array} sampleBuffer2 Array containing Float values or a Float32Array
 * @param {Boolean} negate When true inverts/flips the audio signal
 * @param {Number} volumeCorrection When you add multiple sample buffers, use this to tame your signal ;)
 * 
 * @returns A new Float32Array interleaved buffer.
 */
function mixSampleBuffers(sampleBuffer1, sampleBuffer2, negate, volumeCorrection){
    var outputSamples = new Array(sampleBuffer1);

    for(var i = 0; i<sampleBuffer1.length; i++){
        outputSamples[i] += (negate ? -sampleBuffer2[i] : sampleBuffer2[i]) / volumeCorrection;
    }
    
    return outputSamples;
}   

/*
 *  BeatDetektor.js
 *
 *  BeatDetektor - CubicFX Visualizer Beat Detection & Analysis Algorithm
 *  Javascript port by Charles J. Cliffe and Corban Brook
 *
 *  Created by Charles J. Cliffe on 09-11-30.
 *  Copyright 2009 Charles J. Cliffe. All rights reserved.
 *
 *  BeatDetektor is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Lesser General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  Please note that only the Javascript version of BeatDetektor is licensed
 *  under the terms of LGPL version 3; ports of BeatDetektor or derivatives
 *  in other languages are licensed under the terms of GPL version 3.
 *
 *  BeatDetektor is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public License
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 *  Please contact cj@cubicproductions.com if you seek alternate
 *  licensing terms for your project.
 *
 */


/* 
 BeatDetektor class


 Theory:

 Trigger detection is performed using a trail of moving averages, 
 
 The FFT input is broken up into 128 ranges and averaged, each range has two moving 
 averages that tail each other at a rate of (1.0 / BD_DETECTION_RATE) seconds.  

 Each time the moving average for a range exceeds it's own tailing average by:

 (moving_average[range] * BD_DETECTION_FACTOR >= moving_average[range])

 if this is true there's a rising edge and a detection is flagged for that range. 
 Next a trigger gap test is performed between rising edges and timestamp recorded. 

 If the gap is larger than our BPM window (in seconds) then we can discard it and
 reset the timestamp for a new detection -- but only after checking to see if it's a 
 reasonable match for 2* the current detection in case it's only triggered every
 other beat. Gaps that are lower than the BPM window are ignored and the last 
 timestamp will not be reset.  

 Gaps that are within a reasonable window are run through a quality stage to determine 
 how 'close' they are to that channel's current prediction and are incremented or 
 decremented by a weighted value depending on accuracy. Repeated hits of low accuracy 
 will still move a value towards erroneous detection but it's quality will be lowered 
 and will not be eligible for the gap time quality draft.
 
 Once quality has been assigned ranges are reviewed for good match candidates and if 
 BD_MINIMUM_CONTRIBUTIONS or more ranges achieve a decent ratio (with a factor of 
 BD_QUALITY_TOLERANCE) of contribution to the overall quality we take them into the 
 contest round.  Note that the contest round  won't run on a given process() call if 
 the total quality achieved does not meet or exceed BD_QUALITY_TOLERANCE.
  
 Each time through if a select draft of BPM ranges has achieved a reasonable quality 
 above others it's awarded a value in the BPM contest.  The BPM contest is a hash 
 array indexed by an integer BPM value, each draft winner is awarded BD_QUALITY_REWARD.

 Finally the BPM contest is examined to determine a leader and all contest entries 
 are normalized to a total value of BD_FINISH_LINE, whichever range is closest to 
 BD_FINISH_LINE at any given point is considered to be the best guess however waiting 
 until a minimum contest winning value of about 20.0-25.0 will provide more accurate 
 results.  Note that the 20-25 rule may vary with lower and higher input ranges. 
 A winning value that exceeds 40 or hovers around 60 (the finish line) is pretty much
 a guaranteed match.


 Configuration Kernel Notes:

 The majority of the ratios and values have been reverse-engineered from my own  
 observation and visualization of information from various aspects of the detection 
 triggers; so not all parameters have a perfect definition nor perhaps the best value yet.
 However despite this it performs very well; I had expected several more layers 
 before a reasonable detection would be achieved. Comments for these parameters will be 
 updated as analysis of their direct effect is explored.


 Input Restrictions:

 bpm_maximum must be within the range of (bpm_minimum*2)-1
 i.e. minimum of 50 must have a maximum of 99 because 50*2 = 100


 Changelog: 
 
 01/17/2010 - Charles J. Cliffe 
  - Tested and tweaked default kernel values for tighter detection
  - Added BeatDetektor.config_48_95, BeatDetektor.config_90_179 and BeatDetektor.config_150_280 for more refined detection ranges
  - Updated unit test to include new range config example

02/21/2010 - Charles J. Cliffe 
 - Fixed numerous bugs and divide by 0 on 1% match causing poor accuracy
 - Re-worked the quality calulations, accuracy improved 8-10x
 - Primary value is now a fractional reading (*10, just divide by 10), added win_bpm_int_lo for integral readings
 - Added feedback loop for current_bpm to help back-up low quality channels
 - Unified range configs, now single default should be fine
 - Extended quality reward 'funnel'

*/
BeatDetektor = function(bpm_minimum, bpm_maximum, alt_config)
{
    if (typeof(bpm_minimum)=='undefined') bpm_minimum = 85.0;
    if (typeof(bpm_maximum)=='undefined') bpm_maximum = 169.0
    
    this.config = (typeof(alt_config)!='undefined')?alt_config:BeatDetektor.config;
    
    this.BPM_MIN = bpm_minimum;
    this.BPM_MAX = bpm_maximum;

    this.beat_counter = 0;
    this.half_counter = 0;
    this.quarter_counter = 0;

    // current average (this sample) for range n
    this.a_freq_range = new Array(this.config.BD_DETECTION_RANGES);
    // moving average of frequency range n
    this.ma_freq_range = new Array(this.config.BD_DETECTION_RANGES);
    // moving average of moving average of frequency range n
    this.maa_freq_range = new Array(this.config.BD_DETECTION_RANGES);
    // timestamp of last detection for frequecy range n
    this.last_detection = new Array(this.config.BD_DETECTION_RANGES);

    // moving average of gap lengths
    this.ma_bpm_range = new Array(this.config.BD_DETECTION_RANGES);
    // moving average of moving average of gap lengths
    this.maa_bpm_range = new Array(this.config.BD_DETECTION_RANGES);

    // range n quality attribute, good match  = quality+, bad match  = quality-, min  = 0
    this.detection_quality = new Array(this.config.BD_DETECTION_RANGES);

    // current trigger state for range n
    this.detection = new Array(this.config.BD_DETECTION_RANGES); 
    
    this.reset();
    

}

BeatDetektor.prototype.reset = function()
{
//  var bpm_avg = 60.0/((this.BPM_MIN+this.BPM_MAX)/2.0);

    for (var i = 0; i < this.config.BD_DETECTION_RANGES; i++)
    {
        this.a_freq_range[i] = 0.0;
        this.ma_freq_range[i] = 0.0;
        this.maa_freq_range[i] = 0.0;
        this.last_detection[i] = 0.0;
        
        this.ma_bpm_range[i] = 
        this.maa_bpm_range[i] = 60.0/this.BPM_MIN + ((60.0/this.BPM_MAX-60.0/this.BPM_MIN) * (i/this.config.BD_DETECTION_RANGES));      
        
        this.detection_quality[i] = 0.0;
        this.detection[i] = false;
    }
    
    this.ma_quality_avg = 0;
    this.ma_quality_total = 0;
    
    this.bpm_contest = new Array();
    this.bpm_contest_lo = new Array();
    
    this.quality_total = 0.0;
    this.quality_avg = 0.0;

    this.current_bpm = 0.0; 
    this.current_bpm_lo = 0.0; 

    this.winning_bpm = 0.0; 
    this.win_val = 0.0;
    this.winning_bpm_lo = 0.0; 
    this.win_val_lo = 0.0;

    this.win_bpm_int = 0;
    this.win_bpm_int_lo = 0;

    this.bpm_predict = 0;

    this.is_erratic = false;
    this.bpm_offset = 0.0;
    this.last_timer = 0.0;
    this.last_update = 0.0;

    this.bpm_timer = 0.0;
    this.beat_counter = 0;
    this.half_counter = 0;
    this.quarter_counter = 0;
}


BeatDetektor.config_default = {
    BD_DETECTION_RANGES : 128,  // How many ranges to quantize the FFT into
    BD_DETECTION_RATE : 12.0,   // Rate in 1.0 / BD_DETECTION_RATE seconds
    BD_DETECTION_FACTOR : 0.915, // Trigger ratio
    BD_QUALITY_DECAY : 0.6,     // range and contest decay
    BD_QUALITY_TOLERANCE : 0.96,// Use the top x % of contest results
    BD_QUALITY_REWARD : 10.0,    // Award weight
    BD_QUALITY_STEP : 0.1,     // Award step (roaming speed)
    BD_MINIMUM_CONTRIBUTIONS : 6,   // At least x ranges must agree to process a result
    BD_FINISH_LINE : 60.0,          // Contest values wil be normalized to this finish line
    // this is the 'funnel' that pulls ranges in / out of alignment based on trigger detection
    BD_REWARD_TOLERANCES : [ 0.001, 0.005, 0.01, 0.02, 0.04, 0.08, 0.10, 0.15, 0.30 ],  // .1%, .5%, 1%, 2%, 4%, 8%, 10%, 15%
    BD_REWARD_MULTIPLIERS : [ 20.0, 10.0, 8.0, 1.0, 1.0/2.0, 1.0/4.0, 1.0/8.0, 1/16.0, 1/32.0 ]
};


// Default configuration kernel
BeatDetektor.config = BeatDetektor.config_default;


BeatDetektor.prototype.process = function(timer_seconds, fft_data)
{
    if (!this.last_timer) { this.last_timer = timer_seconds; return; }  // ignore 0 start time
    if (this.last_timer > timer_seconds) { this.reset(); return; }
    
    var timestamp = timer_seconds;
    
    this.last_update = timer_seconds - this.last_timer;
    this.last_timer = timer_seconds;

    if (this.last_update > 1.0) { this.reset(); return; }

    var i,x;
    var v;
    
    var bpm_floor = 60.0/this.BPM_MAX;
    var bpm_ceil = 60.0/this.BPM_MIN;
    
    var range_step = (fft_data.length / this.config.BD_DETECTION_RANGES);
    var range = 0;
    
        
    for (x=0; x<fft_data.length; x+=range_step)
    {
        this.a_freq_range[range] = 0;
        
        // accumulate frequency values for this range
        for (i = x; i<x+range_step; i++)
        {
            v = Math.abs(fft_data[i]);
            this.a_freq_range[range] += v;
        }
        
        // average for range
        this.a_freq_range[range] /= range_step;
        
        // two sets of averages chase this one at a 
        
        // moving average, increment closer to a_freq_range at a rate of 1.0 / BD_DETECTION_RATE seconds
        this.ma_freq_range[range] -= (this.ma_freq_range[range]-this.a_freq_range[range])*this.last_update*this.config.BD_DETECTION_RATE;
        // moving average of moving average, increment closer to this.ma_freq_range at a rate of 1.0 / BD_DETECTION_RATE seconds
        this.maa_freq_range[range] -= (this.maa_freq_range[range]-this.ma_freq_range[range])*this.last_update*this.config.BD_DETECTION_RATE;
        
        // if closest moving average peaks above trailing (with a tolerance of BD_DETECTION_FACTOR) then trigger a detection for this range 
        var det = (this.ma_freq_range[range]*this.config.BD_DETECTION_FACTOR >= this.maa_freq_range[range]);
        
        // compute bpm clamps for comparison to gap lengths
        
        // clamp detection averages to input ranges
        if (this.ma_bpm_range[range] > bpm_ceil) this.ma_bpm_range[range] = bpm_ceil;
        if (this.ma_bpm_range[range] < bpm_floor) this.ma_bpm_range[range] = bpm_floor;
        if (this.maa_bpm_range[range] > bpm_ceil) this.maa_bpm_range[range] = bpm_ceil;
        if (this.maa_bpm_range[range] < bpm_floor) this.maa_bpm_range[range] = bpm_floor;
            
        var rewarded = false;
        
        // new detection since last, test it's quality
        if (!this.detection[range] && det)
        {
            // calculate length of gap (since start of last trigger)
            var trigger_gap = timestamp-this.last_detection[range];
            
            // trigger falls within acceptable range, 
            if (trigger_gap < bpm_ceil && trigger_gap > (bpm_floor))
            {       
                // compute gap and award quality
                
                // use our tolerances as a funnel to edge detection towards the most likely value
                for (i = 0; i < this.config.BD_REWARD_TOLERANCES.length; i++)
                {
                    if (Math.abs(this.ma_bpm_range[range]-trigger_gap) < this.ma_bpm_range[range]*this.config.BD_REWARD_TOLERANCES[i])
                    {
                        this.detection_quality[range] += this.config.BD_QUALITY_REWARD * this.config.BD_REWARD_MULTIPLIERS[i]; 
                        rewarded = true;
                    }
                }               
                
                if (rewarded) 
                {
                    this.last_detection[range] = timestamp;
                }
            }
            else if (trigger_gap >= bpm_ceil) // low quality, gap exceeds maximum time
            {
                // start a new gap test, next gap is guaranteed to be longer
                
                // test for 1/2 beat
                trigger_gap /= 2.0;

                if (trigger_gap < bpm_ceil && trigger_gap > (bpm_floor)) for (i = 0; i < this.config.BD_REWARD_TOLERANCES.length; i++)
                {
                    if (Math.abs(this.ma_bpm_range[range]-trigger_gap) < this.ma_bpm_range[range]*this.config.BD_REWARD_TOLERANCES[i])
                    {
                        this.detection_quality[range] += this.config.BD_QUALITY_REWARD * this.config.BD_REWARD_MULTIPLIERS[i]; 
                        rewarded = true;
                    }
                }
                
                
                // decrement quality if no 1/2 beat reward
                if (!rewarded) 
                {
                    trigger_gap *= 2.0;
                }
                this.last_detection[range] = timestamp; 
            }
            
            if (rewarded)
            {
                var qmp = (this.detection_quality[range]/this.quality_avg)*this.config.BD_QUALITY_STEP;
                if (qmp > 1.0)
                {
                    qmp = 1.0;
                }

                this.ma_bpm_range[range] -= (this.ma_bpm_range[range]-trigger_gap) * qmp;               
                this.maa_bpm_range[range] -= (this.maa_bpm_range[range]-this.ma_bpm_range[range]) * qmp;
            }
            else if (trigger_gap >= bpm_floor && trigger_gap <= bpm_ceil)
            {
                if (this.detection_quality[range] < this.quality_avg*this.config.BD_QUALITY_TOLERANCE && this.current_bpm)
                {
                    this.ma_bpm_range[range] -= (this.ma_bpm_range[range]-trigger_gap) * this.config.BD_QUALITY_STEP;
                    this.maa_bpm_range[range] -= (this.maa_bpm_range[range]-this.ma_bpm_range[range]) * this.config.BD_QUALITY_STEP;
                }
                this.detection_quality[range] -= this.config.BD_QUALITY_STEP;
            }
            else if (trigger_gap >= bpm_ceil)
            {
                if ((this.detection_quality[range] < this.quality_avg*this.config.BD_QUALITY_TOLERANCE) && this.current_bpm)
                {
                    this.ma_bpm_range[range] -= (this.ma_bpm_range[range]-this.current_bpm) * 0.5;
                    this.maa_bpm_range[range] -= (this.maa_bpm_range[range]-this.ma_bpm_range[range]) * 0.5 ;
                }
                this.detection_quality[range]-= this.config.BD_QUALITY_STEP;
            }
            
        }
                
        if ((!rewarded && timestamp-this.last_detection[range] > bpm_ceil) || (det && Math.abs(this.ma_bpm_range[range]-this.current_bpm) > this.bpm_offset)) 
            this.detection_quality[range] -= this.detection_quality[range]*this.config.BD_QUALITY_STEP*this.config.BD_QUALITY_DECAY*this.last_update;
        
        // quality bottomed out, set to 0
        if (this.detection_quality[range] < 0.001) this.detection_quality[range]=0.001;
                
        this.detection[range] = det;        
        
        range++;
    }
        
    // total contribution weight
    this.quality_total = 0;
    
    // total of bpm values
    var bpm_total = 0;
    // number of bpm ranges that contributed to this test
    var bpm_contributions = 0;
    
    
    // accumulate quality weight total
    for (var x=0; x<this.config.BD_DETECTION_RANGES; x++)
    {
        this.quality_total += this.detection_quality[x];
    }
    
    
    this.quality_avg = this.quality_total / this.config.BD_DETECTION_RANGES;
    
    
    if (this.quality_total)
    {
        // determine the average weight of each quality range
        this.ma_quality_avg += (this.quality_avg - this.ma_quality_avg) * this.last_update * this.config.BD_DETECTION_RATE/2.0;

        this.maa_quality_avg += (this.ma_quality_avg - this.maa_quality_avg) * this.last_update;
        this.ma_quality_total += (this.quality_total - this.ma_quality_total) * this.last_update * this.config.BD_DETECTION_RATE/2.0;

        this.ma_quality_avg -= 0.98*this.ma_quality_avg*this.last_update*3.0;
    }
    else
    {
        this.quality_avg = 0.001;
    }

    if (this.ma_quality_total <= 0) this.ma_quality_total = 0.001;
    if (this.ma_quality_avg <= 0) this.ma_quality_avg = 0.001;
    
    var avg_bpm_offset = 0.0;
    var offset_test_bpm = this.current_bpm;
    var draft = new Array();
    
    if (this.quality_avg) for (x=0; x<this.config.BD_DETECTION_RANGES; x++)
    {
        // if this detection range weight*tolerance is higher than the average weight then add it's moving average contribution 
        if (this.detection_quality[x]*this.config.BD_QUALITY_TOLERANCE >= this.ma_quality_avg)
        {
            if (this.ma_bpm_range[x] < bpm_ceil && this.ma_bpm_range[x] > bpm_floor)
            {
                bpm_total += this.maa_bpm_range[x];

                var draft_float = Math.round((60.0/this.maa_bpm_range[x])*1000.0);
                
                draft_float = (Math.abs(Math.ceil(draft_float)-(60.0/this.current_bpm)*1000.0)<(Math.abs(Math.floor(draft_float)-(60.0/this.current_bpm)*1000.0)))?Math.ceil(draft_float/10.0):Math.floor(draft_float/10.0);
                var draft_int = parseInt(draft_float/10.0);
            //  if (draft_int) console.log(draft_int);
                if (typeof(draft[draft_int]=='undefined')) draft[draft_int] = 0;
                
                draft[draft_int]+=this.detection_quality[x]/this.quality_avg;
                bpm_contributions++;
                if (offset_test_bpm == 0.0) offset_test_bpm = this.maa_bpm_range[x];
                else 
                {
                    avg_bpm_offset += Math.abs(offset_test_bpm-this.maa_bpm_range[x]);
                }
                
                
            }
        }
    }
        
    // if we have one or more contributions that pass criteria then attempt to display a guess
    var has_prediction = (bpm_contributions>=this.config.BD_MINIMUM_CONTRIBUTIONS)?true:false;

    var draft_winner=0;
    var win_val = 0;
    
    if (has_prediction) 
    {
        for (var draft_i in draft)
        {
            if (draft[draft_i] > win_val)
            {
                win_val = draft[draft_i];
                draft_winner = draft_i;
            }
        }
        
        this.bpm_predict = 60.0/(draft_winner/10.0);
        
        avg_bpm_offset /= bpm_contributions;
        this.bpm_offset = avg_bpm_offset;
        
        if (!this.current_bpm)  
        {
            this.current_bpm = this.bpm_predict; 
        }
    }
        
    if (this.current_bpm && this.bpm_predict) this.current_bpm -= (this.current_bpm-this.bpm_predict)*this.last_update; 
    
    // hold a contest for bpm to find the current mode
    var contest_max=0;
    
    for (var contest_i in this.bpm_contest)
    {
        if (contest_max < this.bpm_contest[contest_i]) contest_max = this.bpm_contest[contest_i]; 
        if (this.bpm_contest[contest_i] > this.config.BD_FINISH_LINE/2.0)
        {
            var draft_int_lo = parseInt(Math.round((contest_i)/10.0));
            if (this.bpm_contest_lo[draft_int_lo] != this.bpm_contest_lo[draft_int_lo]) this.bpm_contest_lo[draft_int_lo] = 0;
            this.bpm_contest_lo[draft_int_lo]+= (this.bpm_contest[contest_i]/6.0)*this.last_update;
        }
    }
        
    // normalize to a finish line
    if (contest_max > this.config.BD_FINISH_LINE) 
    {
        for (var contest_i in this.bpm_contest)
        {
            this.bpm_contest[contest_i]=(this.bpm_contest[contest_i]/contest_max)*this.config.BD_FINISH_LINE;
        }
    }

    contest_max = 0;
    for (var contest_i in this.bpm_contest_lo)
    {
        if (contest_max < this.bpm_contest_lo[contest_i]) contest_max = this.bpm_contest_lo[contest_i]; 
    }

    // normalize to a finish line
    if (contest_max > this.config.BD_FINISH_LINE) 
    {
        for (var contest_i in this.bpm_contest_lo)
        {
            this.bpm_contest_lo[contest_i]=(this.bpm_contest_lo[contest_i]/contest_max)*this.config.BD_FINISH_LINE;
        }
    }

    
    // decay contest values from last loop
    for (contest_i in this.bpm_contest)
    {
        this.bpm_contest[contest_i]-=this.bpm_contest[contest_i]*(this.last_update/this.config.BD_DETECTION_RATE);
    }
    
    // decay contest values from last loop
    for (contest_i in this.bpm_contest_lo)
    {
        this.bpm_contest_lo[contest_i]-=this.bpm_contest_lo[contest_i]*(this.last_update/this.config.BD_DETECTION_RATE);
    }
    
    this.bpm_timer+=this.last_update;
    
    var winner = 0;
    var winner_lo = 0;
    
    // attempt to display the beat at the beat interval ;)
    if (this.bpm_timer > this.winning_bpm/4.0 && this.current_bpm)
    {       
        this.win_val = 0;
        this.win_val_lo = 0;

        if (this.winning_bpm) while (this.bpm_timer > this.winning_bpm/4.0) this.bpm_timer -= this.winning_bpm/4.0;
        
        // increment beat counter
        
        this.quarter_counter++;     
        this.half_counter= parseInt(this.quarter_counter/2);
        this.beat_counter = parseInt(this.quarter_counter/4);
        
        // award the winner of this iteration
        var idx = parseInt(Math.round((60.0/this.current_bpm)*10.0));
        if (typeof(this.bpm_contest[idx])=='undefined') this.bpm_contest[idx] = 0;
        this.bpm_contest[idx]+=this.config.BD_QUALITY_REWARD;
        
        
        // find the overall winner so far
        for (var contest_i in this.bpm_contest)
        {
            if (this.win_val < this.bpm_contest[contest_i])
            {
                winner = contest_i;
                this.win_val = this.bpm_contest[contest_i];
            }
        }
        
        if (winner)
        {
            this.win_bpm_int = parseInt(winner);
            this.winning_bpm = (60.0/(winner/10.0));
        }
        
        // find the overall winner so far
        for (var contest_i in this.bpm_contest_lo)
        {
            if (this.win_val_lo < this.bpm_contest_lo[contest_i])
            {
                winner_lo = contest_i;
                this.win_val_lo = this.bpm_contest_lo[contest_i];
            }
        }
        
        if (winner_lo)
        {
            this.win_bpm_int_lo = parseInt(winner_lo);
            this.winning_bpm_lo = 60.0/winner_lo;
        }
        
        
        //if (typeof(console)!='undefined' && (this.beat_counter % 4) == 0) console.log("BeatDetektor("+this.BPM_MIN+","+this.BPM_MAX+"): [ Current Estimate: "+winner+" BPM ] [ Time: "+(parseInt(timer_seconds*1000.0)/1000.0)+"s, Quality: "+(parseInt(this.quality_total*1000.0)/1000.0)+", Rank: "+(parseInt(this.win_val*1000.0)/1000.0)+", Jitter: "+(parseInt(this.bpm_offset*1000000.0)/1000000.0)+" ]");
    }

}

// Sample Modules
BeatDetektor.modules = new Object(); 
BeatDetektor.modules.vis = new Object();

// simple bass kick visualizer assistant module
BeatDetektor.modules.vis.BassKick = function()
{
    this.is_kick = false;
}

BeatDetektor.modules.vis.BassKick.prototype.process = function(det)
{
    this.is_kick = ((det.detection[0] && det.detection[1]) || (det.ma_freq_range[0]/det.maa_freq_range[0])>1.4);
}

BeatDetektor.modules.vis.BassKick.prototype.isKick = function()
{
    return this.is_kick;
}


// simple vu spectrum visualizer assistant module
BeatDetektor.modules.vis.VU = function()
{
    this.vu_levels = new Array();   
}

BeatDetektor.modules.vis.VU.prototype.process = function(det,lus)
{
        var i,det_val,det_max = 0.0;
        if (typeof(lus)=='undefined') lus = det.last_update;

        for (i = 0; i < det.config.BD_DETECTION_RANGES; i++)
        {
            det_val = (det.ma_freq_range[i]/det.maa_freq_range[i]); 
            if (det_val > det_max) det_max = det_val;
        }       

        if (det_max <= 0) det_max = 1.0;

        for (i = 0; i < det.config.BD_DETECTION_RANGES; i++)
        {
            det_val = (det.ma_freq_range[i]/det.maa_freq_range[i]); //fabs(fftData[i*2]/2.0);

            if (det_val != det_val) det_val = 0;

            //&& (det_val > this.vu_levels[i])
            if (det_val>1.0)
            {
                det_val -= 1.0;
                if (det_val>1.0) det_val = 1.0;

                if (det_val > this.vu_levels[i]) 
                    this.vu_levels[i] = det_val;
                else if (det.current_bpm) this.vu_levels[i] -= (this.vu_levels[i]-det_val)*lus*(1.0/det.current_bpm)*3.0;
            }
            else 
            {
                if (det.current_bpm) this.vu_levels[i] -= (lus/det.current_bpm)*2.0;
            }

            if (this.vu_levels[i] < 0 || this.vu_levels[i] != this.vu_levels[i]) this.vu_levels[i] = 0;
        }
}


// returns vu level for BD_DETECTION_RANGES range[x]
BeatDetektor.modules.vis.VU.prototype.getLevel = function(x)
{
    return this.vu_levels[x];
}


var _sunSpiderStartDate = new Date();

var iterations = 1000;

var fft = fft = new FFT(frameBufferLength / channels, rate);
var bd = new BeatDetektor();
var kick_det = new BeatDetektor.modules.vis.BassKick();
var vu = new BeatDetektor.modules.vis.VU();

var calcBeat = function() {
  var fb     = getFramebuffer(), signal = DSP.getChannel(DSP.MIX, fb);

  fft.forward(signal);

  var timestamp = (new Date()).getTime();
  bd.process(timestamp, fft.spectrum);
  kick_det.process(bd);
  vu.process(bd);
};

runTest(calcBeat, iterations);

var _sunSpiderInterval = new Date() - _sunSpiderStartDate;

WScript.Echo("### TIME:", _sunSpiderInterval, "ms");