error bars test

[dygraphs.git] / dygraph.js

// Copyright 2006 Dan Vanderkam (danvdk@gmail.com)
// All Rights Reserved.

/**
 * @fileoverview Creates an interactive, zoomable graph based on a CSV file or
 * string. Dygraph can handle multiple series with or without error bars. The
 * date/value ranges will be automatically set. Dygraph uses the
 * <canvas> tag, so it only works in FF1.5+.
 * @author danvdk@gmail.com (Dan Vanderkam)

  Usage:
   <div id="graphdiv" style="width:800px; height:500px;"></div>
   <script type="text/javascript">
     new Dygraph(document.getElementById("graphdiv"),
                 "datafile.csv",  // CSV file with headers
                 { }); // options
   </script>

 The CSV file is of the form

   Date,SeriesA,SeriesB,SeriesC
   YYYYMMDD,A1,B1,C1
   YYYYMMDD,A2,B2,C2

 If the 'errorBars' option is set in the constructor, the input should be of
 the form
   Date,SeriesA,SeriesB,...
   YYYYMMDD,A1,sigmaA1,B1,sigmaB1,...
   YYYYMMDD,A2,sigmaA2,B2,sigmaB2,...

 If the 'fractions' option is set, the input should be of the form:

   Date,SeriesA,SeriesB,...
   YYYYMMDD,A1/B1,A2/B2,...
   YYYYMMDD,A1/B1,A2/B2,...

 And error bars will be calculated automatically using a binomial distribution.

 For further documentation and examples, see http://dygraphs.com/

 */

/**
 * Creates an interactive, zoomable chart.
 *
 * @constructor
 * @param {div | String} div A div or the id of a div into which to construct
 * the chart.
 * @param {String | Function} file A file containing CSV data or a function
 * that returns this data. The most basic expected format for each line is
 * "YYYY/MM/DD,val1,val2,...". For more information, see
 * http://dygraphs.com/data.html.
 * @param {Object} attrs Various other attributes, e.g. errorBars determines
 * whether the input data contains error ranges. For a complete list of
 * options, see http://dygraphs.com/options.html.
 */
Dygraph = function(div, data, opts) {
  if (arguments.length > 0) {
    if (arguments.length == 4) {
      // Old versions of dygraphs took in the series labels as a constructor
      // parameter. This doesn't make sense anymore, but it's easy to continue
      // to support this usage.
      this.warn("Using deprecated four-argument dygraph constructor");
      this.__old_init__(div, data, arguments[2], arguments[3]);
    } else {
      this.__init__(div, data, opts);
    }
  }
};

Dygraph.NAME = "Dygraph";
Dygraph.VERSION = "1.2";
Dygraph.__repr__ = function() {
  return "[" + this.NAME + " " + this.VERSION + "]";
};

/**
 * Returns information about the Dygraph class.
 */
Dygraph.toString = function() {
  return this.__repr__();
};

// Various default values
Dygraph.DEFAULT_ROLL_PERIOD = 1;
Dygraph.DEFAULT_WIDTH = 480;
Dygraph.DEFAULT_HEIGHT = 320;

// Default attribute values.
Dygraph.DEFAULT_ATTRS = {
  highlightCircleSize: 3,
  pixelsPerXLabel: 60,
  pixelsPerYLabel: 30,

  labelsDivWidth: 250,
  labelsDivStyles: {
    // TODO(danvk): move defaults from createStatusMessage_ here.
  },
  labelsSeparateLines: false,
  labelsShowZeroValues: true,
  labelsKMB: false,
  labelsKMG2: false,
  showLabelsOnHighlight: true,

  yValueFormatter: function(a,b) { return Dygraph.numberFormatter(a,b); },
  digitsAfterDecimal: 2,
  maxNumberWidth: 6,
  sigFigs: null,

  strokeWidth: 1.0,

  axisTickSize: 3,
  axisLabelFontSize: 14,
  xAxisLabelWidth: 50,
  yAxisLabelWidth: 50,
  xAxisLabelFormatter: Dygraph.dateAxisFormatter,
  rightGap: 5,

  showRoller: false,
  xValueFormatter: Dygraph.dateString_,
  xValueParser: Dygraph.dateParser,
  xTicker: Dygraph.dateTicker,

  delimiter: ',',

  sigma: 2.0,
  errorBars: false,
  fractions: false,
  wilsonInterval: true,  // only relevant if fractions is true
  customBars: false,
  fillGraph: false,
  fillAlpha: 0.15,
  connectSeparatedPoints: false,

  stackedGraph: false,
  hideOverlayOnMouseOut: true,

  // TODO(danvk): support 'onmouseover' and 'never', and remove synonyms.
  legend: 'onmouseover',  // the only relevant value at the moment is 'always'.

  stepPlot: false,
  avoidMinZero: false,

  // Sizes of the various chart labels.
  titleHeight: 28,
  xLabelHeight: 18,
  yLabelWidth: 18,

  drawXAxis: true,
  drawYAxis: true,
  axisLineColor: "black",
  axisLineWidth: 0.3,
  gridLineWidth: 0.3,
  axisLabelColor: "black",
  axisLabelFont: "Arial",  // TODO(danvk): is this implemented?
  axisLabelWidth: 50,
  drawYGrid: true,
  drawXGrid: true,
  gridLineColor: "rgb(128,128,128)",

  interactionModel: null  // will be set to Dygraph.Interaction.defaultModel
};

// Directions for panning and zooming. Use bit operations when combined
// values are possible.
Dygraph.HORIZONTAL = 1;
Dygraph.VERTICAL = 2;

// Used for initializing annotation CSS rules only once.
Dygraph.addedAnnotationCSS = false;

Dygraph.prototype.__old_init__ = function(div, file, labels, attrs) {
  // Labels is no longer a constructor parameter, since it's typically set
  // directly from the data source. It also conains a name for the x-axis,
  // which the previous constructor form did not.
  if (labels != null) {
    var new_labels = ["Date"];
    for (var i = 0; i < labels.length; i++) new_labels.push(labels[i]);
    Dygraph.update(attrs, { 'labels': new_labels });
  }
  this.__init__(div, file, attrs);
};

/**
 * Initializes the Dygraph. This creates a new DIV and constructs the PlotKit
 * and context &lt;canvas&gt; inside of it. See the constructor for details.
 * on the parameters.
 * @param {Element} div the Element to render the graph into.
 * @param {String | Function} file Source data
 * @param {Object} attrs Miscellaneous other options
 * @private
 */
Dygraph.prototype.__init__ = function(div, file, attrs) {
  // Hack for IE: if we're using excanvas and the document hasn't finished
  // loading yet (and hence may not have initialized whatever it needs to
  // initialize), then keep calling this routine periodically until it has.
  if (/MSIE/.test(navigator.userAgent) && !window.opera &&
      typeof(G_vmlCanvasManager) != 'undefined' &&
      document.readyState != 'complete') {
    var self = this;
    setTimeout(function() { self.__init__(div, file, attrs) }, 100);
  }

  // Support two-argument constructor
  if (attrs == null) { attrs = {}; }

  // Copy the important bits into the object
  // TODO(danvk): most of these should just stay in the attrs_ dictionary.
  this.maindiv_ = div;
  this.file_ = file;
  this.rollPeriod_ = attrs.rollPeriod || Dygraph.DEFAULT_ROLL_PERIOD;
  this.previousVerticalX_ = -1;
  this.fractions_ = attrs.fractions || false;
  this.dateWindow_ = attrs.dateWindow || null;

  this.wilsonInterval_ = attrs.wilsonInterval || true;
  this.is_initial_draw_ = true;
  this.annotations_ = [];

  // Zoomed indicators - These indicate when the graph has been zoomed and on what axis.
  this.zoomed_x_ = false;
  this.zoomed_y_ = false;

  // Clear the div. This ensure that, if multiple dygraphs are passed the same
  // div, then only one will be drawn.
  div.innerHTML = "";

  // For historical reasons, the 'width' and 'height' options trump all CSS
  // rules _except_ for an explicit 'width' or 'height' on the div.
  // As an added convenience, if the div has zero height (like <div></div> does
  // without any styles), then we use a default height/width.
  if (div.style.width == '' && attrs.width) {
    div.style.width = attrs.width + "px";
  }
  if (div.style.height == '' && attrs.height) {
    div.style.height = attrs.height + "px";
  }
  if (div.style.height == '' && div.offsetHeight == 0) {
    div.style.height = Dygraph.DEFAULT_HEIGHT + "px";
    if (div.style.width == '') {
      div.style.width = Dygraph.DEFAULT_WIDTH + "px";
    }
  }
  // these will be zero if the dygraph's div is hidden.
  this.width_ = div.offsetWidth;
  this.height_ = div.offsetHeight;

  // TODO(danvk): set fillGraph to be part of attrs_ here, not user_attrs_.
  if (attrs['stackedGraph']) {
    attrs['fillGraph'] = true;
    // TODO(nikhilk): Add any other stackedGraph checks here.
  }

  // Dygraphs has many options, some of which interact with one another.
  // To keep track of everything, we maintain two sets of options:
  //
  //  this.user_attrs_   only options explicitly set by the user.
  //  this.attrs_        defaults, options derived from user_attrs_, data.
  //
  // Options are then accessed this.attr_('attr'), which first looks at
  // user_attrs_ and then computed attrs_. This way Dygraphs can set intelligent
  // defaults without overriding behavior that the user specifically asks for.
  this.user_attrs_ = {};
  Dygraph.update(this.user_attrs_, attrs);

  this.attrs_ = {};
  Dygraph.update(this.attrs_, Dygraph.DEFAULT_ATTRS);

  this.boundaryIds_ = [];

  // Create the containing DIV and other interactive elements
  this.createInterface_();

  this.start_();
};

/**
 * Returns the zoomed status of the chart for one or both axes.
 *
 * Axis is an optional parameter. Can be set to 'x' or 'y'.
 *
 * The zoomed status for an axis is set whenever a user zooms using the mouse
 * or when the dateWindow or valueRange are updated (unless the isZoomedIgnoreProgrammaticZoom
 * option is also specified).
 */
Dygraph.prototype.isZoomed = function(axis) {
  if (axis == null) return this.zoomed_x_ || this.zoomed_y_;
  if (axis == 'x') return this.zoomed_x_;
  if (axis == 'y') return this.zoomed_y_;
  throw "axis parameter to Dygraph.isZoomed must be missing, 'x' or 'y'.";
};

/**
 * Returns information about the Dygraph object, including its containing ID.
 */
Dygraph.prototype.toString = function() {
  var maindiv = this.maindiv_;
  var id = (maindiv && maindiv.id) ? maindiv.id : maindiv
  return "[Dygraph " + id + "]";
}

/**
 * @private
 * Returns the value of an option. This may be set by the user (either in the
 * constructor or by calling updateOptions) or by dygraphs, and may be set to a
 * per-series value.
 * @param { String } name The name of the option, e.g. 'rollPeriod'.
 * @param { String } [seriesName] The name of the series to which the option
 * will be applied. If no per-series value of this option is available, then
 * the global value is returned. This is optional.
 * @return { ... } The value of the option.
 */
Dygraph.prototype.attr_ = function(name, seriesName) {
// <REMOVE_FOR_COMBINED>
  if (typeof(Dygraph.OPTIONS_REFERENCE) === 'undefined') {
    this.error('Must include options reference JS for testing');
  } else if (!Dygraph.OPTIONS_REFERENCE.hasOwnProperty(name)) {
    this.error('Dygraphs is using property ' + name + ', which has no entry ' +
               'in the Dygraphs.OPTIONS_REFERENCE listing.');
    // Only log this error once.
    Dygraph.OPTIONS_REFERENCE[name] = true;
  }
// </REMOVE_FOR_COMBINED>
  if (seriesName &&
      typeof(this.user_attrs_[seriesName]) != 'undefined' &&
      this.user_attrs_[seriesName] != null &&
      typeof(this.user_attrs_[seriesName][name]) != 'undefined') {
    return this.user_attrs_[seriesName][name];
  } else if (typeof(this.user_attrs_[name]) != 'undefined') {
    return this.user_attrs_[name];
  } else if (typeof(this.attrs_[name]) != 'undefined') {
    return this.attrs_[name];
  } else {
    return null;
  }
};

/**
 * Returns the current rolling period, as set by the user or an option.
 * @return {Number} The number of points in the rolling window
 */
Dygraph.prototype.rollPeriod = function() {
  return this.rollPeriod_;
};

/**
 * Returns the currently-visible x-range. This can be affected by zooming,
 * panning or a call to updateOptions.
 * Returns a two-element array: [left, right].
 * If the Dygraph has dates on the x-axis, these will be millis since epoch.
 */
Dygraph.prototype.xAxisRange = function() {
  return this.dateWindow_ ? this.dateWindow_ : this.xAxisExtremes();
};

/**
 * Returns the lower- and upper-bound x-axis values of the
 * data set.
 */
Dygraph.prototype.xAxisExtremes = function() {
  var left = this.rawData_[0][0];
  var right = this.rawData_[this.rawData_.length - 1][0];
  return [left, right];
};

/**
 * Returns the currently-visible y-range for an axis. This can be affected by
 * zooming, panning or a call to updateOptions. Axis indices are zero-based. If
 * called with no arguments, returns the range of the first axis.
 * Returns a two-element array: [bottom, top].
 */
Dygraph.prototype.yAxisRange = function(idx) {
  if (typeof(idx) == "undefined") idx = 0;
  if (idx < 0 || idx >= this.axes_.length) {
    return null;
  }
  var axis = this.axes_[idx];
  return [ axis.computedValueRange[0], axis.computedValueRange[1] ];
};

/**
 * Returns the currently-visible y-ranges for each axis. This can be affected by
 * zooming, panning, calls to updateOptions, etc.
 * Returns an array of [bottom, top] pairs, one for each y-axis.
 */
Dygraph.prototype.yAxisRanges = function() {
  var ret = [];
  for (var i = 0; i < this.axes_.length; i++) {
    ret.push(this.yAxisRange(i));
  }
  return ret;
};

// TODO(danvk): use these functions throughout dygraphs.
/**
 * Convert from data coordinates to canvas/div X/Y coordinates.
 * If specified, do this conversion for the coordinate system of a particular
 * axis. Uses the first axis by default.
 * Returns a two-element array: [X, Y]
 *
 * Note: use toDomXCoord instead of toDomCoords(x, null) and use toDomYCoord
 * instead of toDomCoords(null, y, axis).
 */
Dygraph.prototype.toDomCoords = function(x, y, axis) {
  return [ this.toDomXCoord(x), this.toDomYCoord(y, axis) ];
};

/**
 * Convert from data x coordinates to canvas/div X coordinate.
 * If specified, do this conversion for the coordinate system of a particular
 * axis.
 * Returns a single value or null if x is null.
 */
Dygraph.prototype.toDomXCoord = function(x) {
  if (x == null) {
    return null;
  };

  var area = this.plotter_.area;
  var xRange = this.xAxisRange();
  return area.x + (x - xRange[0]) / (xRange[1] - xRange[0]) * area.w;
}

/**
 * Convert from data x coordinates to canvas/div Y coordinate and optional
 * axis. Uses the first axis by default.
 *
 * returns a single value or null if y is null.
 */
Dygraph.prototype.toDomYCoord = function(y, axis) {
  var pct = this.toPercentYCoord(y, axis);

  if (pct == null) {
    return null;
  }
  var area = this.plotter_.area;
  return area.y + pct * area.h;
}

/**
 * Convert from canvas/div coords to data coordinates.
 * If specified, do this conversion for the coordinate system of a particular
 * axis. Uses the first axis by default.
 * Returns a two-element array: [X, Y].
 *
 * Note: use toDataXCoord instead of toDataCoords(x, null) and use toDataYCoord
 * instead of toDataCoords(null, y, axis).
 */
Dygraph.prototype.toDataCoords = function(x, y, axis) {
  return [ this.toDataXCoord(x), this.toDataYCoord(y, axis) ];
};

/**
 * Convert from canvas/div x coordinate to data coordinate.
 *
 * If x is null, this returns null.
 */
Dygraph.prototype.toDataXCoord = function(x) {
  if (x == null) {
    return null;
  }

  var area = this.plotter_.area;
  var xRange = this.xAxisRange();
  return xRange[0] + (x - area.x) / area.w * (xRange[1] - xRange[0]);
};

/**
 * Convert from canvas/div y coord to value.
 *
 * If y is null, this returns null.
 * if axis is null, this uses the first axis.
 */
Dygraph.prototype.toDataYCoord = function(y, axis) {
  if (y == null) {
    return null;
  }

  var area = this.plotter_.area;
  var yRange = this.yAxisRange(axis);

  if (typeof(axis) == "undefined") axis = 0;
  if (!this.axes_[axis].logscale) {
    return yRange[0] + (area.y + area.h - y) / area.h * (yRange[1] - yRange[0]);
  } else {
    // Computing the inverse of toDomCoord.
    var pct = (y - area.y) / area.h

    // Computing the inverse of toPercentYCoord. The function was arrived at with
    // the following steps:
    //
    // Original calcuation:
    // pct = (logr1 - Dygraph.log10(y)) / (logr1 - Dygraph.log10(yRange[0]));
    //
    // Move denominator to both sides:
    // pct * (logr1 - Dygraph.log10(yRange[0])) = logr1 - Dygraph.log10(y);
    //
    // subtract logr1, and take the negative value.
    // logr1 - (pct * (logr1 - Dygraph.log10(yRange[0]))) = Dygraph.log10(y);
    //
    // Swap both sides of the equation, and we can compute the log of the
    // return value. Which means we just need to use that as the exponent in
    // e^exponent.
    // Dygraph.log10(y) = logr1 - (pct * (logr1 - Dygraph.log10(yRange[0])));

    var logr1 = Dygraph.log10(yRange[1]);
    var exponent = logr1 - (pct * (logr1 - Dygraph.log10(yRange[0])));
    var value = Math.pow(Dygraph.LOG_SCALE, exponent);
    return value;
  }
};

/**
 * Converts a y for an axis to a percentage from the top to the
 * bottom of the drawing area.
 *
 * If the coordinate represents a value visible on the canvas, then
 * the value will be between 0 and 1, where 0 is the top of the canvas.
 * However, this method will return values outside the range, as
 * values can fall outside the canvas.
 *
 * If y is null, this returns null.
 * if axis is null, this uses the first axis.
 *
 * @param { Number } y The data y-coordinate.
 * @param { Number } [axis] The axis number on which the data coordinate lives.
 * @return { Number } A fraction in [0, 1] where 0 = the top edge.
 */
Dygraph.prototype.toPercentYCoord = function(y, axis) {
  if (y == null) {
    return null;
  }
  if (typeof(axis) == "undefined") axis = 0;

  var area = this.plotter_.area;
  var yRange = this.yAxisRange(axis);

  var pct;
  if (!this.axes_[axis].logscale) {
    // yRange[1] - y is unit distance from the bottom.
    // yRange[1] - yRange[0] is the scale of the range.
    // (yRange[1] - y) / (yRange[1] - yRange[0]) is the % from the bottom.
    pct = (yRange[1] - y) / (yRange[1] - yRange[0]);
  } else {
    var logr1 = Dygraph.log10(yRange[1]);
    pct = (logr1 - Dygraph.log10(y)) / (logr1 - Dygraph.log10(yRange[0]));
  }
  return pct;
}

/**
 * Converts an x value to a percentage from the left to the right of
 * the drawing area.
 *
 * If the coordinate represents a value visible on the canvas, then
 * the value will be between 0 and 1, where 0 is the left of the canvas.
 * However, this method will return values outside the range, as
 * values can fall outside the canvas.
 *
 * If x is null, this returns null.
 * @param { Number } x The data x-coordinate.
 * @return { Number } A fraction in [0, 1] where 0 = the left edge.
 */
Dygraph.prototype.toPercentXCoord = function(x) {
  if (x == null) {
    return null;
  }

  var xRange = this.xAxisRange();
  return (x - xRange[0]) / (xRange[1] - xRange[0]);
};

/**
 * Returns the number of columns (including the independent variable).
 * @return { Integer } The number of columns.
 */
Dygraph.prototype.numColumns = function() {
  return this.rawData_[0].length;
};

/**
 * Returns the number of rows (excluding any header/label row).
 * @return { Integer } The number of rows, less any header.
 */
Dygraph.prototype.numRows = function() {
  return this.rawData_.length;
};

/**
 * Returns the value in the given row and column. If the row and column exceed
 * the bounds on the data, returns null. Also returns null if the value is
 * missing.
 * @param { Number} row The row number of the data (0-based). Row 0 is the
 * first row of data, not a header row.
 * @param { Number} col The column number of the data (0-based)
 * @return { Number } The value in the specified cell or null if the row/col
 * were out of range.
 */
Dygraph.prototype.getValue = function(row, col) {
  if (row < 0 || row > this.rawData_.length) return null;
  if (col < 0 || col > this.rawData_[row].length) return null;

  return this.rawData_[row][col];
};

/**
 * Generates interface elements for the Dygraph: a containing div, a div to
 * display the current point, and a textbox to adjust the rolling average
 * period. Also creates the Renderer/Layout elements.
 * @private
 */
Dygraph.prototype.createInterface_ = function() {
  // Create the all-enclosing graph div
  var enclosing = this.maindiv_;

  this.graphDiv = document.createElement("div");
  this.graphDiv.style.width = this.width_ + "px";
  this.graphDiv.style.height = this.height_ + "px";
  enclosing.appendChild(this.graphDiv);

  // Create the canvas for interactive parts of the chart.
  this.canvas_ = Dygraph.createCanvas();
  this.canvas_.style.position = "absolute";
  this.canvas_.width = this.width_;
  this.canvas_.height = this.height_;
  this.canvas_.style.width = this.width_ + "px";    // for IE
  this.canvas_.style.height = this.height_ + "px";  // for IE

  this.canvas_ctx_ = Dygraph.getContext(this.canvas_);

  // ... and for static parts of the chart.
  this.hidden_ = this.createPlotKitCanvas_(this.canvas_);
  this.hidden_ctx_ = Dygraph.getContext(this.hidden_);

  // The interactive parts of the graph are drawn on top of the chart.
  this.graphDiv.appendChild(this.hidden_);
  this.graphDiv.appendChild(this.canvas_);
  this.mouseEventElement_ = this.canvas_;

  var dygraph = this;
  Dygraph.addEvent(this.mouseEventElement_, 'mousemove', function(e) {
    dygraph.mouseMove_(e);
  });
  Dygraph.addEvent(this.mouseEventElement_, 'mouseout', function(e) {
    dygraph.mouseOut_(e);
  });

  // Create the grapher
  this.layout_ = new DygraphLayout(this);

  this.createStatusMessage_();
  this.createDragInterface_();

  // Update when the window is resized.
  // TODO(danvk): drop frames depending on complexity of the chart.
  Dygraph.addEvent(window, 'resize', function(e) {
    dygraph.resize();
  });
};

/**
 * Detach DOM elements in the dygraph and null out all data references.
 * Calling this when you're done with a dygraph can dramatically reduce memory
 * usage. See, e.g., the tests/perf.html example.
 */
Dygraph.prototype.destroy = function() {
  var removeRecursive = function(node) {
    while (node.hasChildNodes()) {
      removeRecursive(node.firstChild);
      node.removeChild(node.firstChild);
    }
  };
  removeRecursive(this.maindiv_);

  var nullOut = function(obj) {
    for (var n in obj) {
      if (typeof(obj[n]) === 'object') {
        obj[n] = null;
      }
    }
  };

  // These may not all be necessary, but it can't hurt...
  nullOut(this.layout_);
  nullOut(this.plotter_);
  nullOut(this);
};

/**
 * Creates the canvas on which the chart will be drawn. Only the Renderer ever
 * draws on this particular canvas. All Dygraph work (i.e. drawing hover dots
 * or the zoom rectangles) is done on this.canvas_.
 * @param {Object} canvas The Dygraph canvas over which to overlay the plot
 * @return {Object} The newly-created canvas
 * @private
 */
Dygraph.prototype.createPlotKitCanvas_ = function(canvas) {
  var h = Dygraph.createCanvas();
  h.style.position = "absolute";
  // TODO(danvk): h should be offset from canvas. canvas needs to include
  // some extra area to make it easier to zoom in on the far left and far
  // right. h needs to be precisely the plot area, so that clipping occurs.
  h.style.top = canvas.style.top;
  h.style.left = canvas.style.left;
  h.width = this.width_;
  h.height = this.height_;
  h.style.width = this.width_ + "px";    // for IE
  h.style.height = this.height_ + "px";  // for IE
  return h;
};

/**
 * Generate a set of distinct colors for the data series. This is done with a
 * color wheel. Saturation/Value are customizable, and the hue is
 * equally-spaced around the color wheel. If a custom set of colors is
 * specified, that is used instead.
 * @private
 */
Dygraph.prototype.setColors_ = function() {
  var num = this.attr_("labels").length - 1;
  this.colors_ = [];
  var colors = this.attr_('colors');
  if (!colors) {
    var sat = this.attr_('colorSaturation') || 1.0;
    var val = this.attr_('colorValue') || 0.5;
    var half = Math.ceil(num / 2);
    for (var i = 1; i <= num; i++) {
      if (!this.visibility()[i-1]) continue;
      // alternate colors for high contrast.
      var idx = i % 2 ? Math.ceil(i / 2) : (half + i / 2);
      var hue = (1.0 * idx/ (1 + num));
      this.colors_.push(Dygraph.hsvToRGB(hue, sat, val));
    }
  } else {
    for (var i = 0; i < num; i++) {
      if (!this.visibility()[i]) continue;
      var colorStr = colors[i % colors.length];
      this.colors_.push(colorStr);
    }
  }

  this.plotter_.setColors(this.colors_);
};

/**
 * Return the list of colors. This is either the list of colors passed in the
 * attributes or the autogenerated list of rgb(r,g,b) strings.
 * @return {Array<string>} The list of colors.
 */
Dygraph.prototype.getColors = function() {
  return this.colors_;
};

/**
 * Create the div that contains information on the selected point(s)
 * This goes in the top right of the canvas, unless an external div has already
 * been specified.
 * @private
 */
Dygraph.prototype.createStatusMessage_ = function() {
  var userLabelsDiv = this.user_attrs_["labelsDiv"];
  if (userLabelsDiv && null != userLabelsDiv
    && (typeof(userLabelsDiv) == "string" || userLabelsDiv instanceof String)) {
    this.user_attrs_["labelsDiv"] = document.getElementById(userLabelsDiv);
  }
  if (!this.attr_("labelsDiv")) {
    var divWidth = this.attr_('labelsDivWidth');
    var messagestyle = {
      "position": "absolute",
      "fontSize": "14px",
      "zIndex": 10,
      "width": divWidth + "px",
      "top": "0px",
      "left": (this.width_ - divWidth - 2) + "px",
      "background": "white",
      "textAlign": "left",
      "overflow": "hidden"};
    Dygraph.update(messagestyle, this.attr_('labelsDivStyles'));
    var div = document.createElement("div");
    div.className = "dygraph-legend";
    for (var name in messagestyle) {
      if (messagestyle.hasOwnProperty(name)) {
        div.style[name] = messagestyle[name];
      }
    }
    this.graphDiv.appendChild(div);
    this.attrs_.labelsDiv = div;
  }
};

/**
 * Position the labels div so that:
 * - its right edge is flush with the right edge of the charting area
 * - its top edge is flush with the top edge of the charting area
 * @private
 */
Dygraph.prototype.positionLabelsDiv_ = function() {
  // Don't touch a user-specified labelsDiv.
  if (this.user_attrs_.hasOwnProperty("labelsDiv")) return;

  var area = this.plotter_.area;
  var div = this.attr_("labelsDiv");
  div.style.left = area.x + area.w - this.attr_("labelsDivWidth") - 1 + "px";
  div.style.top = area.y + "px";
};

/**
 * Create the text box to adjust the averaging period
 * @private
 */
Dygraph.prototype.createRollInterface_ = function() {
  // Create a roller if one doesn't exist already.
  if (!this.roller_) {
    this.roller_ = document.createElement("input");
    this.roller_.type = "text";
    this.roller_.style.display = "none";
    this.graphDiv.appendChild(this.roller_);
  }

  var display = this.attr_('showRoller') ? 'block' : 'none';

  var area = this.plotter_.area;
  var textAttr = { "position": "absolute",
                   "zIndex": 10,
                   "top": (area.y + area.h - 25) + "px",
                   "left": (area.x + 1) + "px",
                   "display": display
                  };
  this.roller_.size = "2";
  this.roller_.value = this.rollPeriod_;
  for (var name in textAttr) {
    if (textAttr.hasOwnProperty(name)) {
      this.roller_.style[name] = textAttr[name];
    }
  }

  var dygraph = this;
  this.roller_.onchange = function() { dygraph.adjustRoll(dygraph.roller_.value); };
};

/**
 * @private
 * Converts page the x-coordinate of the event to pixel x-coordinates on the
 * canvas (i.e. DOM Coords).
 */
Dygraph.prototype.dragGetX_ = function(e, context) {
  return Dygraph.pageX(e) - context.px
};

/**
 * @private
 * Converts page the y-coordinate of the event to pixel y-coordinates on the
 * canvas (i.e. DOM Coords).
 */
Dygraph.prototype.dragGetY_ = function(e, context) {
  return Dygraph.pageY(e) - context.py
};

/**
 * Set up all the mouse handlers needed to capture dragging behavior for zoom
 * events.
 * @private
 */
Dygraph.prototype.createDragInterface_ = function() {
  var context = {
    // Tracks whether the mouse is down right now
    isZooming: false,
    isPanning: false,  // is this drag part of a pan?
    is2DPan: false,    // if so, is that pan 1- or 2-dimensional?
    dragStartX: null, // pixel coordinates
    dragStartY: null, // pixel coordinates
    dragEndX: null, // pixel coordinates
    dragEndY: null, // pixel coordinates
    dragDirection: null,
    prevEndX: null, // pixel coordinates
    prevEndY: null, // pixel coordinates
    prevDragDirection: null,

    // The value on the left side of the graph when a pan operation starts.
    initialLeftmostDate: null,

    // The number of units each pixel spans. (This won't be valid for log
    // scales)
    xUnitsPerPixel: null,

    // TODO(danvk): update this comment
    // The range in second/value units that the viewport encompasses during a
    // panning operation.
    dateRange: null,

    // Top-left corner of the canvas, in DOM coords
    // TODO(konigsberg): Rename topLeftCanvasX, topLeftCanvasY.
    px: 0,
    py: 0,

    // Values for use with panEdgeFraction, which limit how far outside the
    // graph's data boundaries it can be panned.
    boundedDates: null, // [minDate, maxDate]
    boundedValues: null, // [[minValue, maxValue] ...]

    initializeMouseDown: function(event, g, context) {
      // prevents mouse drags from selecting page text.
      if (event.preventDefault) {
        event.preventDefault();  // Firefox, Chrome, etc.
      } else {
        event.returnValue = false;  // IE
        event.cancelBubble = true;
      }

      context.px = Dygraph.findPosX(g.canvas_);
      context.py = Dygraph.findPosY(g.canvas_);
      context.dragStartX = g.dragGetX_(event, context);
      context.dragStartY = g.dragGetY_(event, context);
    }
  };

  var interactionModel = this.attr_("interactionModel");

  // Self is the graph.
  var self = this;

  // Function that binds the graph and context to the handler.
  var bindHandler = function(handler) {
    return function(event) {
      handler(event, self, context);
    };
  };

  for (var eventName in interactionModel) {
    if (!interactionModel.hasOwnProperty(eventName)) continue;
    Dygraph.addEvent(this.mouseEventElement_, eventName,
        bindHandler(interactionModel[eventName]));
  }

  // If the user releases the mouse button during a drag, but not over the
  // canvas, then it doesn't count as a zooming action.
  Dygraph.addEvent(document, 'mouseup', function(event) {
    if (context.isZooming || context.isPanning) {
      context.isZooming = false;
      context.dragStartX = null;
      context.dragStartY = null;
    }

    if (context.isPanning) {
      context.isPanning = false;
      context.draggingDate = null;
      context.dateRange = null;
      for (var i = 0; i < self.axes_.length; i++) {
        delete self.axes_[i].draggingValue;
        delete self.axes_[i].dragValueRange;
      }
    }
  });
};


/**
 * Draw a gray zoom rectangle over the desired area of the canvas. Also clears
 * up any previous zoom rectangles that were drawn. This could be optimized to
 * avoid extra redrawing, but it's tricky to avoid interactions with the status
 * dots.
 * 
 * @param {Number} direction the direction of the zoom rectangle. Acceptable
 * values are Dygraph.HORIZONTAL and Dygraph.VERTICAL.
 * @param {Number} startX The X position where the drag started, in canvas
 * coordinates.
 * @param {Number} endX The current X position of the drag, in canvas coords.
 * @param {Number} startY The Y position where the drag started, in canvas
 * coordinates.
 * @param {Number} endY The current Y position of the drag, in canvas coords.
 * @param {Number} prevDirection the value of direction on the previous call to
 * this function. Used to avoid excess redrawing
 * @param {Number} prevEndX The value of endX on the previous call to this
 * function. Used to avoid excess redrawing
 * @param {Number} prevEndY The value of endY on the previous call to this
 * function. Used to avoid excess redrawing
 * @private
 */
Dygraph.prototype.drawZoomRect_ = function(direction, startX, endX, startY,
                                           endY, prevDirection, prevEndX,
                                           prevEndY) {
  var ctx = this.canvas_ctx_;

  // Clean up from the previous rect if necessary
  if (prevDirection == Dygraph.HORIZONTAL) {
    ctx.clearRect(Math.min(startX, prevEndX), 0,
                  Math.abs(startX - prevEndX), this.height_);
  } else if (prevDirection == Dygraph.VERTICAL){
    ctx.clearRect(0, Math.min(startY, prevEndY),
                  this.width_, Math.abs(startY - prevEndY));
  }

  // Draw a light-grey rectangle to show the new viewing area
  if (direction == Dygraph.HORIZONTAL) {
    if (endX && startX) {
      ctx.fillStyle = "rgba(128,128,128,0.33)";
      ctx.fillRect(Math.min(startX, endX), 0,
                   Math.abs(endX - startX), this.height_);
    }
  }
  if (direction == Dygraph.VERTICAL) {
    if (endY && startY) {
      ctx.fillStyle = "rgba(128,128,128,0.33)";
      ctx.fillRect(0, Math.min(startY, endY),
                   this.width_, Math.abs(endY - startY));
    }
  }
};

/**
 * Zoom to something containing [lowX, highX]. These are pixel coordinates in
 * the canvas. The exact zoom window may be slightly larger if there are no data
 * points near lowX or highX. Don't confuse this function with doZoomXDates,
 * which accepts dates that match the raw data. This function redraws the graph.
 *
 * @param {Number} lowX The leftmost pixel value that should be visible.
 * @param {Number} highX The rightmost pixel value that should be visible.
 * @private
 */
Dygraph.prototype.doZoomX_ = function(lowX, highX) {
  // Find the earliest and latest dates contained in this canvasx range.
  // Convert the call to date ranges of the raw data.
  var minDate = this.toDataXCoord(lowX);
  var maxDate = this.toDataXCoord(highX);
  this.doZoomXDates_(minDate, maxDate);
};

/**
 * Zoom to something containing [minDate, maxDate] values. Don't confuse this
 * method with doZoomX which accepts pixel coordinates. This function redraws
 * the graph.
 *
 * @param {Number} minDate The minimum date that should be visible.
 * @param {Number} maxDate The maximum date that should be visible.
 * @private
 */
Dygraph.prototype.doZoomXDates_ = function(minDate, maxDate) {
  this.dateWindow_ = [minDate, maxDate];
  this.zoomed_x_ = true;
  this.drawGraph_();
  if (this.attr_("zoomCallback")) {
    this.attr_("zoomCallback")(minDate, maxDate, this.yAxisRanges());
  }
};

/**
 * Zoom to something containing [lowY, highY]. These are pixel coordinates in
 * the canvas. This function redraws the graph.
 *
 * @param {Number} lowY The topmost pixel value that should be visible.
 * @param {Number} highY The lowest pixel value that should be visible.
 * @private
 */
Dygraph.prototype.doZoomY_ = function(lowY, highY) {
  // Find the highest and lowest values in pixel range for each axis.
  // Note that lowY (in pixels) corresponds to the max Value (in data coords).
  // This is because pixels increase as you go down on the screen, whereas data
  // coordinates increase as you go up the screen.
  var valueRanges = [];
  for (var i = 0; i < this.axes_.length; i++) {
    var hi = this.toDataYCoord(lowY, i);
    var low = this.toDataYCoord(highY, i);
    this.axes_[i].valueWindow = [low, hi];
    valueRanges.push([low, hi]);
  }

  this.zoomed_y_ = true;
  this.drawGraph_();
  if (this.attr_("zoomCallback")) {
    var xRange = this.xAxisRange();
    var yRange = this.yAxisRange();
    this.attr_("zoomCallback")(xRange[0], xRange[1], this.yAxisRanges());
  }
};

/**
 * Reset the zoom to the original view coordinates. This is the same as
 * double-clicking on the graph.
 *
 * @private
 */
Dygraph.prototype.doUnzoom_ = function() {
  var dirty = false;
  if (this.dateWindow_ != null) {
    dirty = true;
    this.dateWindow_ = null;
  }

  for (var i = 0; i < this.axes_.length; i++) {
    if (this.axes_[i].valueWindow != null) {
      dirty = true;
      delete this.axes_[i].valueWindow;
    }
  }

  // Clear any selection, since it's likely to be drawn in the wrong place.
  this.clearSelection();

  if (dirty) {
    // Putting the drawing operation before the callback because it resets
    // yAxisRange.
    this.zoomed_x_ = false;
    this.zoomed_y_ = false;
    this.drawGraph_();
    if (this.attr_("zoomCallback")) {
      var minDate = this.rawData_[0][0];
      var maxDate = this.rawData_[this.rawData_.length - 1][0];
      this.attr_("zoomCallback")(minDate, maxDate, this.yAxisRanges());
    }
  }
};

/**
 * When the mouse moves in the canvas, display information about a nearby data
 * point and draw dots over those points in the data series. This function
 * takes care of cleanup of previously-drawn dots.
 * @param {Object} event The mousemove event from the browser.
 * @private
 */
Dygraph.prototype.mouseMove_ = function(event) {
  // This prevents JS errors when mousing over the canvas before data loads.
  var points = this.layout_.points;
  if (points === undefined) return;

  var canvasx = Dygraph.pageX(event) - Dygraph.findPosX(this.mouseEventElement_);

  var lastx = -1;
  var lasty = -1;

  // Loop through all the points and find the date nearest to our current
  // location.
  var minDist = 1e+100;
  var idx = -1;
  for (var i = 0; i < points.length; i++) {
    var point = points[i];
    if (point == null) continue;
    var dist = Math.abs(point.canvasx - canvasx);
    if (dist > minDist) continue;
    minDist = dist;
    idx = i;
  }
  if (idx >= 0) lastx = points[idx].xval;

  // Extract the points we've selected
  this.selPoints_ = [];
  var l = points.length;
  if (!this.attr_("stackedGraph")) {
    for (var i = 0; i < l; i++) {
      if (points[i].xval == lastx) {
        this.selPoints_.push(points[i]);
      }
    }
  } else {
    // Need to 'unstack' points starting from the bottom
    var cumulative_sum = 0;
    for (var i = l - 1; i >= 0; i--) {
      if (points[i].xval == lastx) {
        var p = {};  // Clone the point since we modify it
        for (var k in points[i]) {
          p[k] = points[i][k];
        }
        p.yval -= cumulative_sum;
        cumulative_sum += p.yval;
        this.selPoints_.push(p);
      }
    }
    this.selPoints_.reverse();
  }

  if (this.attr_("highlightCallback")) {
    var px = this.lastx_;
    if (px !== null && lastx != px) {
      // only fire if the selected point has changed.
      this.attr_("highlightCallback")(event, lastx, this.selPoints_, this.idxToRow_(idx));
    }
  }

  // Save last x position for callbacks.
  this.lastx_ = lastx;

  this.updateSelection_();
};

/**
 * Transforms layout_.points index into data row number.
 * @param int layout_.points index
 * @return int row number, or -1 if none could be found.
 * @private
 */
Dygraph.prototype.idxToRow_ = function(idx) {
  if (idx < 0) return -1;

  for (var i in this.layout_.datasets) {
    if (idx < this.layout_.datasets[i].length) {
      return this.boundaryIds_[0][0]+idx;
    }
    idx -= this.layout_.datasets[i].length;
  }
  return -1;
};

/**
 * @private
 * Generates HTML for the legend which is displayed when hovering over the
 * chart. If no selected points are specified, a default legend is returned
 * (this may just be the empty string).
 * @param { Number } [x] The x-value of the selected points.
 * @param { [Object] } [sel_points] List of selected points for the given
 * x-value. Should have properties like 'name', 'yval' and 'canvasy'.
 */
Dygraph.prototype.generateLegendHTML_ = function(x, sel_points) {
  // If no points are selected, we display a default legend. Traditionally,
  // this has been blank. But a better default would be a conventional legend,
  // which provides essential information for a non-interactive chart.
  if (typeof(x) === 'undefined') {
    if (this.attr_('legend') != 'always') return '';

    var sepLines = this.attr_('labelsSeparateLines');
    var labels = this.attr_('labels');
    var html = '';
    for (var i = 1; i < labels.length; i++) {
      if (!this.visibility()[i - 1]) continue;
      var c = this.plotter_.colors[labels[i]];
      if (html != '') html += (sepLines ? '<br/>' : ' ');
      html += "<b><span style='color: " + c + ";'>&mdash;" + labels[i] +
        "</span></b>";
    }
    return html;
  }

  var html = this.attr_('xValueFormatter')(x) + ":";

  var fmtFunc = this.attr_('yValueFormatter');
  var showZeros = this.attr_("labelsShowZeroValues");
  var sepLines = this.attr_("labelsSeparateLines");
  for (var i = 0; i < this.selPoints_.length; i++) {
    var pt = this.selPoints_[i];
    if (pt.yval == 0 && !showZeros) continue;
    if (!Dygraph.isOK(pt.canvasy)) continue;
    if (sepLines) html += "<br/>";

    var c = this.plotter_.colors[pt.name];
    var yval = fmtFunc(pt.yval, this);
    // TODO(danvk): use a template string here and make it an attribute.
    html += " <b><span style='color: " + c + ";'>"
      + pt.name + "</span></b>:"
      + yval;
  }
  return html;
};

/**
 * @private
 * Displays information about the selected points in the legend. If there is no
 * selection, the legend will be cleared.
 * @param { Number } [x] The x-value of the selected points.
 * @param { [Object] } [sel_points] List of selected points for the given
 * x-value. Should have properties like 'name', 'yval' and 'canvasy'.
 */
Dygraph.prototype.setLegendHTML_ = function(x, sel_points) {
  var html = this.generateLegendHTML_(x, sel_points);
  var labelsDiv = this.attr_("labelsDiv");
  if (labelsDiv !== null) {
    labelsDiv.innerHTML = html;
  } else {
    if (typeof(this.shown_legend_error_) == 'undefined') {
      this.error('labelsDiv is set to something nonexistent; legend will not be shown.');
      this.shown_legend_error_ = true;
    }
  }
};

/**
 * Draw dots over the selectied points in the data series. This function
 * takes care of cleanup of previously-drawn dots.
 * @private
 */
Dygraph.prototype.updateSelection_ = function() {
  // Clear the previously drawn vertical, if there is one
  var ctx = this.canvas_ctx_;
  if (this.previousVerticalX_ >= 0) {
    // Determine the maximum highlight circle size.
    var maxCircleSize = 0;
    var labels = this.attr_('labels');
    for (var i = 1; i < labels.length; i++) {
      var r = this.attr_('highlightCircleSize', labels[i]);
      if (r > maxCircleSize) maxCircleSize = r;
    }
    var px = this.previousVerticalX_;
    ctx.clearRect(px - maxCircleSize - 1, 0,
                  2 * maxCircleSize + 2, this.height_);
  }

  if (this.selPoints_.length > 0) {
    // Set the status message to indicate the selected point(s)
    if (this.attr_('showLabelsOnHighlight')) {
      this.setLegendHTML_(this.lastx_, this.selPoints_);
    }

    // Draw colored circles over the center of each selected point
    var canvasx = this.selPoints_[0].canvasx;
    ctx.save();
    for (var i = 0; i < this.selPoints_.length; i++) {
      var pt = this.selPoints_[i];
      if (!Dygraph.isOK(pt.canvasy)) continue;

      var circleSize = this.attr_('highlightCircleSize', pt.name);
      ctx.beginPath();
      ctx.fillStyle = this.plotter_.colors[pt.name];
      ctx.arc(canvasx, pt.canvasy, circleSize, 0, 2 * Math.PI, false);
      ctx.fill();
    }
    ctx.restore();

    this.previousVerticalX_ = canvasx;
  }
};

/**
 * Manually set the selected points and display information about them in the
 * legend. The selection can be cleared using clearSelection() and queried
 * using getSelection().
 * @param { Integer } row number that should be highlighted (i.e. appear with
 * hover dots on the chart). Set to false to clear any selection.
 */
Dygraph.prototype.setSelection = function(row) {
  // Extract the points we've selected
  this.selPoints_ = [];
  var pos = 0;

  if (row !== false) {
    row = row-this.boundaryIds_[0][0];
  }

  if (row !== false && row >= 0) {
    for (var i in this.layout_.datasets) {
      if (row < this.layout_.datasets[i].length) {
        var point = this.layout_.points[pos+row];
        
        if (this.attr_("stackedGraph")) {
          point = this.layout_.unstackPointAtIndex(pos+row);
        }
        
        this.selPoints_.push(point);
      }
      pos += this.layout_.datasets[i].length;
    }
  }

  if (this.selPoints_.length) {
    this.lastx_ = this.selPoints_[0].xval;
    this.updateSelection_();
  } else {
    this.clearSelection();
  }

};

/**
 * The mouse has left the canvas. Clear out whatever artifacts remain
 * @param {Object} event the mouseout event from the browser.
 * @private
 */
Dygraph.prototype.mouseOut_ = function(event) {
  if (this.attr_("unhighlightCallback")) {
    this.attr_("unhighlightCallback")(event);
  }

  if (this.attr_("hideOverlayOnMouseOut")) {
    this.clearSelection();
  }
};

/**
 * Clears the current selection (i.e. points that were highlighted by moving
 * the mouse over the chart).
 */
Dygraph.prototype.clearSelection = function() {
  // Get rid of the overlay data
  this.canvas_ctx_.clearRect(0, 0, this.width_, this.height_);
  this.setLegendHTML_();
  this.selPoints_ = [];
  this.lastx_ = -1;
}

/**
 * Returns the number of the currently selected row. To get data for this row,
 * you can use the getValue method.
 * @return { Integer } row number, or -1 if nothing is selected
 */
Dygraph.prototype.getSelection = function() {
  if (!this.selPoints_ || this.selPoints_.length < 1) {
    return -1;
  }

  for (var row=0; row<this.layout_.points.length; row++ ) {
    if (this.layout_.points[row].x == this.selPoints_[0].x) {
      return row + this.boundaryIds_[0][0];
    }
  }
  return -1;
};

/**
 * @private
 * Return a string version of a number. This respects the digitsAfterDecimal
 * and maxNumberWidth options.
 * @param {Number} x The number to be formatted
 * @param {Dygraph} g The dygraph object
 */
Dygraph.numberFormatter = function(x, g) {
  var sigFigs = g.attr_('sigFigs');

  if (sigFigs !== null) {
    // User has opted for a fixed number of significant figures.
    return Dygraph.floatFormat(x, sigFigs);
  }

  var digits = g.attr_('digitsAfterDecimal');
  var maxNumberWidth = g.attr_('maxNumberWidth');

  // switch to scientific notation if we underflow or overflow fixed display.
  if (x !== 0.0 &&
      (Math.abs(x) >= Math.pow(10, maxNumberWidth) ||
       Math.abs(x) < Math.pow(10, -digits))) {
    return x.toExponential(digits);
  } else {
    return '' + Dygraph.round_(x, digits);
  }
};

/**
 * Convert a JS date to a string appropriate to display on an axis that
 * is displaying values at the stated granularity.
 * @param {Date} date The date to format
 * @param {Number} granularity One of the Dygraph granularity constants
 * @return {String} The formatted date
 * @private
 */
Dygraph.dateAxisFormatter = function(date, granularity) {
  if (granularity >= Dygraph.DECADAL) {
    return date.strftime('%Y');
  } else if (granularity >= Dygraph.MONTHLY) {
    return date.strftime('%b %y');
  } else {
    var frac = date.getHours() * 3600 + date.getMinutes() * 60 + date.getSeconds() + date.getMilliseconds();
    if (frac == 0 || granularity >= Dygraph.DAILY) {
      return new Date(date.getTime() + 3600*1000).strftime('%d%b');
    } else {
      return Dygraph.hmsString_(date.getTime());
    }
  }
};

/**
 * Fires when there's data available to be graphed.
 * @param {String} data Raw CSV data to be plotted
 * @private
 */
Dygraph.prototype.loadedEvent_ = function(data) {
  this.rawData_ = this.parseCSV_(data);
  this.predraw_();
};

Dygraph.prototype.months =  ["Jan", "Feb", "Mar", "Apr", "May", "Jun",
                             "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"];
Dygraph.prototype.quarters = ["Jan", "Apr", "Jul", "Oct"];

/**
 * Add ticks on the x-axis representing years, months, quarters, weeks, or days
 * @private
 */
Dygraph.prototype.addXTicks_ = function() {
  // Determine the correct ticks scale on the x-axis: quarterly, monthly, ...
  var range;
  if (this.dateWindow_) {
    range = [this.dateWindow_[0], this.dateWindow_[1]];
  } else {
    range = [this.rawData_[0][0], this.rawData_[this.rawData_.length - 1][0]];
  }

  var xTicks = this.attr_('xTicker')(range[0], range[1], this);
  this.layout_.setXTicks(xTicks);
};

// Time granularity enumeration
Dygraph.SECONDLY = 0;
Dygraph.TWO_SECONDLY = 1;
Dygraph.FIVE_SECONDLY = 2;
Dygraph.TEN_SECONDLY = 3;
Dygraph.THIRTY_SECONDLY  = 4;
Dygraph.MINUTELY = 5;
Dygraph.TWO_MINUTELY = 6;
Dygraph.FIVE_MINUTELY = 7;
Dygraph.TEN_MINUTELY = 8;
Dygraph.THIRTY_MINUTELY = 9;
Dygraph.HOURLY = 10;
Dygraph.TWO_HOURLY = 11;
Dygraph.SIX_HOURLY = 12;
Dygraph.DAILY = 13;
Dygraph.WEEKLY = 14;
Dygraph.MONTHLY = 15;
Dygraph.QUARTERLY = 16;
Dygraph.BIANNUAL = 17;
Dygraph.ANNUAL = 18;
Dygraph.DECADAL = 19;
Dygraph.CENTENNIAL = 20;
Dygraph.NUM_GRANULARITIES = 21;

Dygraph.SHORT_SPACINGS = [];
Dygraph.SHORT_SPACINGS[Dygraph.SECONDLY]        = 1000 * 1;
Dygraph.SHORT_SPACINGS[Dygraph.TWO_SECONDLY]    = 1000 * 2;
Dygraph.SHORT_SPACINGS[Dygraph.FIVE_SECONDLY]   = 1000 * 5;
Dygraph.SHORT_SPACINGS[Dygraph.TEN_SECONDLY]    = 1000 * 10;
Dygraph.SHORT_SPACINGS[Dygraph.THIRTY_SECONDLY] = 1000 * 30;
Dygraph.SHORT_SPACINGS[Dygraph.MINUTELY]        = 1000 * 60;
Dygraph.SHORT_SPACINGS[Dygraph.TWO_MINUTELY]    = 1000 * 60 * 2;
Dygraph.SHORT_SPACINGS[Dygraph.FIVE_MINUTELY]   = 1000 * 60 * 5;
Dygraph.SHORT_SPACINGS[Dygraph.TEN_MINUTELY]    = 1000 * 60 * 10;
Dygraph.SHORT_SPACINGS[Dygraph.THIRTY_MINUTELY] = 1000 * 60 * 30;
Dygraph.SHORT_SPACINGS[Dygraph.HOURLY]          = 1000 * 3600;
Dygraph.SHORT_SPACINGS[Dygraph.TWO_HOURLY]      = 1000 * 3600 * 2;
Dygraph.SHORT_SPACINGS[Dygraph.SIX_HOURLY]      = 1000 * 3600 * 6;
Dygraph.SHORT_SPACINGS[Dygraph.DAILY]           = 1000 * 86400;
Dygraph.SHORT_SPACINGS[Dygraph.WEEKLY]          = 1000 * 604800;

/**
 * @private
 * If we used this time granularity, how many ticks would there be?
 * This is only an approximation, but it's generally good enough.
 */
Dygraph.prototype.NumXTicks = function(start_time, end_time, granularity) {
  if (granularity < Dygraph.MONTHLY) {
    // Generate one tick mark for every fixed interval of time.
    var spacing = Dygraph.SHORT_SPACINGS[granularity];
    return Math.floor(0.5 + 1.0 * (end_time - start_time) / spacing);
  } else {
    var year_mod = 1;  // e.g. to only print one point every 10 years.
    var num_months = 12;
    if (granularity == Dygraph.QUARTERLY) num_months = 3;
    if (granularity == Dygraph.BIANNUAL) num_months = 2;
    if (granularity == Dygraph.ANNUAL) num_months = 1;
    if (granularity == Dygraph.DECADAL) { num_months = 1; year_mod = 10; }
    if (granularity == Dygraph.CENTENNIAL) { num_months = 1; year_mod = 100; }

    var msInYear = 365.2524 * 24 * 3600 * 1000;
    var num_years = 1.0 * (end_time - start_time) / msInYear;
    return Math.floor(0.5 + 1.0 * num_years * num_months / year_mod);
  }
};

/**
 * @private
 *
 * Construct an x-axis of nicely-formatted times on meaningful boundaries
 * (e.g. 'Jan 09' rather than 'Jan 22, 2009').
 *
 * Returns an array containing {v: millis, label: label} dictionaries.
 */
Dygraph.prototype.GetXAxis = function(start_time, end_time, granularity) {
  var formatter = this.attr_("xAxisLabelFormatter");
  var ticks = [];
  if (granularity < Dygraph.MONTHLY) {
    // Generate one tick mark for every fixed interval of time.
    var spacing = Dygraph.SHORT_SPACINGS[granularity];
    var format = '%d%b';  // e.g. "1Jan"

    // Find a time less than start_time which occurs on a "nice" time boundary
    // for this granularity.
    var g = spacing / 1000;
    var d = new Date(start_time);
    if (g <= 60) {  // seconds
      var x = d.getSeconds(); d.setSeconds(x - x % g);
    } else {
      d.setSeconds(0);
      g /= 60;
      if (g <= 60) {  // minutes
        var x = d.getMinutes(); d.setMinutes(x - x % g);
      } else {
        d.setMinutes(0);
        g /= 60;

        if (g <= 24) {  // days
          var x = d.getHours(); d.setHours(x - x % g);
        } else {
          d.setHours(0);
          g /= 24;

          if (g == 7) {  // one week
            d.setDate(d.getDate() - d.getDay());
          }
        }
      }
    }
    start_time = d.getTime();

    for (var t = start_time; t <= end_time; t += spacing) {
      ticks.push({ v:t, label: formatter(new Date(t), granularity) });
    }
  } else {
    // Display a tick mark on the first of a set of months of each year.
    // Years get a tick mark iff y % year_mod == 0. This is useful for
    // displaying a tick mark once every 10 years, say, on long time scales.
    var months;
    var year_mod = 1;  // e.g. to only print one point every 10 years.

    if (granularity == Dygraph.MONTHLY) {
      months = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ];
    } else if (granularity == Dygraph.QUARTERLY) {
      months = [ 0, 3, 6, 9 ];
    } else if (granularity == Dygraph.BIANNUAL) {
      months = [ 0, 6 ];
    } else if (granularity == Dygraph.ANNUAL) {
      months = [ 0 ];
    } else if (granularity == Dygraph.DECADAL) {
      months = [ 0 ];
      year_mod = 10;
    } else if (granularity == Dygraph.CENTENNIAL) {
      months = [ 0 ];
      year_mod = 100;
    } else {
      this.warn("Span of dates is too long");
    }

    var start_year = new Date(start_time).getFullYear();
    var end_year   = new Date(end_time).getFullYear();
    var zeropad = Dygraph.zeropad;
    for (var i = start_year; i <= end_year; i++) {
      if (i % year_mod != 0) continue;
      for (var j = 0; j < months.length; j++) {
        var date_str = i + "/" + zeropad(1 + months[j]) + "/01";
        var t = Dygraph.dateStrToMillis(date_str);
        if (t < start_time || t > end_time) continue;
        ticks.push({ v:t, label: formatter(new Date(t), granularity) });
      }
    }
  }

  return ticks;
};


/**
 * Add ticks to the x-axis based on a date range.
 * @param {Number} startDate Start of the date window (millis since epoch)
 * @param {Number} endDate End of the date window (millis since epoch)
 * @param {Dygraph} self The dygraph object
 * @return { [Object] } Array of {label, value} tuples.
 * @public
 */
Dygraph.dateTicker = function(startDate, endDate, self) {
  // TODO(danvk): why does this take 'self' as a param?
  var chosen = -1;
  for (var i = 0; i < Dygraph.NUM_GRANULARITIES; i++) {
    var num_ticks = self.NumXTicks(startDate, endDate, i);
    if (self.width_ / num_ticks >= self.attr_('pixelsPerXLabel')) {
      chosen = i;
      break;
    }
  }

  if (chosen >= 0) {
    return self.GetXAxis(startDate, endDate, chosen);
  } else {
    // this can happen if self.width_ is zero.
    return [];
  }
};

/**
 * @private
 * This is a list of human-friendly values at which to show tick marks on a log
 * scale. It is k * 10^n, where k=1..9 and n=-39..+39, so:
 * ..., 1, 2, 3, 4, 5, ..., 9, 10, 20, 30, ..., 90, 100, 200, 300, ...
 * NOTE: this assumes that Dygraph.LOG_SCALE = 10.
 */
Dygraph.PREFERRED_LOG_TICK_VALUES = function() {
  var vals = [];
  for (var power = -39; power <= 39; power++) {
    var range = Math.pow(10, power);
    for (var mult = 1; mult <= 9; mult++) {
      var val = range * mult;
      vals.push(val);
    }
  }
  return vals;
}();

// TODO(konigsberg): Update comment.
/**
 * Add ticks when the x axis has numbers on it (instead of dates)
 *
 * @param {Number} minV minimum value
 * @param {Number} maxV maximum value
 * @param self
 * @param {function} attribute accessor function.
 * @return {[Object]} Array of {label, value} tuples.
 */
Dygraph.numericTicks = function(minV, maxV, self, axis_props, vals) {
  var attr = function(k) {
    if (axis_props && axis_props.hasOwnProperty(k)) return axis_props[k];
    return self.attr_(k);
  };

  var ticks = [];
  if (vals) {
    for (var i = 0; i < vals.length; i++) {
      ticks.push({v: vals[i]});
    }
  } else {
    if (axis_props && attr("logscale")) {
      var pixelsPerTick = attr('pixelsPerYLabel');
      // NOTE(konigsberg): Dan, should self.height_ be self.plotter_.area.h?
      var nTicks  = Math.floor(self.height_ / pixelsPerTick);
      var minIdx = Dygraph.binarySearch(minV, Dygraph.PREFERRED_LOG_TICK_VALUES, 1);
      var maxIdx = Dygraph.binarySearch(maxV, Dygraph.PREFERRED_LOG_TICK_VALUES, -1);
      if (minIdx == -1) {
        minIdx = 0;
      }
      if (maxIdx == -1) {
        maxIdx = Dygraph.PREFERRED_LOG_TICK_VALUES.length - 1;
      }
      // Count the number of tick values would appear, if we can get at least
      // nTicks / 4 accept them.
      var lastDisplayed = null;
      if (maxIdx - minIdx >= nTicks / 4) {
        var axisId = axis_props.yAxisId;
        for (var idx = maxIdx; idx >= minIdx; idx--) {
          var tickValue = Dygraph.PREFERRED_LOG_TICK_VALUES[idx];
          var domCoord = axis_props.g.toDomYCoord(tickValue, axisId);
          var tick = { v: tickValue };
          if (lastDisplayed == null) {
            lastDisplayed = {
              tickValue : tickValue,
              domCoord : domCoord
            };
          } else {
            if (domCoord - lastDisplayed.domCoord >= pixelsPerTick) {
              lastDisplayed = {
                tickValue : tickValue,
                domCoord : domCoord
              };
            } else {
              tick.label = "";
            }
          }
          ticks.push(tick);
        }
        // Since we went in backwards order.
        ticks.reverse();
      }
    }

    // ticks.length won't be 0 if the log scale function finds values to insert.
    if (ticks.length == 0) {
      // Basic idea:
      // Try labels every 1, 2, 5, 10, 20, 50, 100, etc.
      // Calculate the resulting tick spacing (i.e. this.height_ / nTicks).
      // The first spacing greater than pixelsPerYLabel is what we use.
      // TODO(danvk): version that works on a log scale.
      if (attr("labelsKMG2")) {
        var mults = [1, 2, 4, 8];
      } else {
        var mults = [1, 2, 5];
      }
      var scale, low_val, high_val, nTicks;
      // TODO(danvk): make it possible to set this for x- and y-axes independently.
      var pixelsPerTick = attr('pixelsPerYLabel');
      for (var i = -10; i < 50; i++) {
        if (attr("labelsKMG2")) {
          var base_scale = Math.pow(16, i);
        } else {
          var base_scale = Math.pow(10, i);
        }
        for (var j = 0; j < mults.length; j++) {
          scale = base_scale * mults[j];
          low_val = Math.floor(minV / scale) * scale;
          high_val = Math.ceil(maxV / scale) * scale;
          nTicks = Math.abs(high_val - low_val) / scale;
          var spacing = self.height_ / nTicks;
          // wish I could break out of both loops at once...
          if (spacing > pixelsPerTick) break;
        }
        if (spacing > pixelsPerTick) break;
      }

      // Construct the set of ticks.
      // Allow reverse y-axis if it's explicitly requested.
      if (low_val > high_val) scale *= -1;
      for (var i = 0; i < nTicks; i++) {
        var tickV = low_val + i * scale;
        ticks.push( {v: tickV} );
      }
    }
  }

  // Add formatted labels to the ticks.
  var k;
  var k_labels = [];
  if (attr("labelsKMB")) {
    k = 1000;
    k_labels = [ "K", "M", "B", "T" ];
  }
  if (attr("labelsKMG2")) {
    if (k) self.warn("Setting both labelsKMB and labelsKMG2. Pick one!");
    k = 1024;
    k_labels = [ "k", "M", "G", "T" ];
  }
  var formatter = attr('yAxisLabelFormatter') ?
      attr('yAxisLabelFormatter') : attr('yValueFormatter');

  // Add labels to the ticks.
  for (var i = 0; i < ticks.length; i++) {
    if (ticks[i].label !== undefined) continue;  // Use current label.
    var tickV = ticks[i].v;
    var absTickV = Math.abs(tickV);
    var label = formatter(tickV, self);
    if (k_labels.length > 0) {
      // Round up to an appropriate unit.
      var n = k*k*k*k;
      for (var j = 3; j >= 0; j--, n /= k) {
        if (absTickV >= n) {
          label = Dygraph.round_(tickV / n, attr('digitsAfterDecimal')) + k_labels[j];
          break;
        }
      }
    }
    ticks[i].label = label;
  }

  return ticks;
};

/**
 * @private
 * Computes the range of the data series (including confidence intervals).
 * @param { [Array] } series either [ [x1, y1], [x2, y2], ... ] or
 * [ [x1, [y1, dev_low, dev_high]], [x2, [y2, dev_low, dev_high]], ...
 * @return [low, high]
 */
Dygraph.prototype.extremeValues_ = function(series) {
  var minY = null, maxY = null;

  var bars = this.attr_("errorBars") || this.attr_("customBars");
  if (bars) {
    // With custom bars, maxY is the max of the high values.
    for (var j = 0; j < series.length; j++) {
      var y = series[j][1][0];
      if (!y) continue;
      var low = y - series[j][1][1];
      var high = y + series[j][1][2];
      if (low > y) low = y;    // this can happen with custom bars,
      if (high < y) high = y;  // e.g. in tests/custom-bars.html
      if (maxY == null || high > maxY) {
        maxY = high;
      }
      if (minY == null || low < minY) {
        minY = low;
      }
    }
  } else {
    for (var j = 0; j < series.length; j++) {
      var y = series[j][1];
      if (y === null || isNaN(y)) continue;
      if (maxY == null || y > maxY) {
        maxY = y;
      }
      if (minY == null || y < minY) {
        minY = y;
      }
    }
  }

  return [minY, maxY];
};

/**
 * @private
 * This function is called once when the chart's data is changed or the options
 * dictionary is updated. It is _not_ called when the user pans or zooms. The
 * idea is that values derived from the chart's data can be computed here,
 * rather than every time the chart is drawn. This includes things like the
 * number of axes, rolling averages, etc.
 */
Dygraph.prototype.predraw_ = function() {
  var start = new Date();

  // TODO(danvk): move more computations out of drawGraph_ and into here.
  this.computeYAxes_();

  // Create a new plotter.
  if (this.plotter_) this.plotter_.clear();
  this.plotter_ = new DygraphCanvasRenderer(this,
                                            this.hidden_,
                                            this.hidden_ctx_,
                                            this.layout_);

  // The roller sits in the bottom left corner of the chart. We don't know where
  // this will be until the options are available, so it's positioned here.
  this.createRollInterface_();

  // Same thing applies for the labelsDiv. It's right edge should be flush with
  // the right edge of the charting area (which may not be the same as the right
  // edge of the div, if we have two y-axes.
  this.positionLabelsDiv_();

  // If the data or options have changed, then we'd better redraw.
  this.drawGraph_();

  // This is used to determine whether to do various animations.
  var end = new Date();
  this.drawingTimeMs_ = (end - start);
};

/**
 * Update the graph with new data. This method is called when the viewing area
 * has changed. If the underlying data or options have changed, predraw_ will
 * be called before drawGraph_ is called.
 *
 * clearSelection, when undefined or true, causes this.clearSelection to be
 * called at the end of the draw operation. This should rarely be defined,
 * and never true (that is it should be undefined most of the time, and
 * rarely false.)
 *
 * @private
 */
Dygraph.prototype.drawGraph_ = function(clearSelection) {
  var start = new Date();

  if (typeof(clearSelection) === 'undefined') {
    clearSelection = true;
  }

  var data = this.rawData_;

  // This is used to set the second parameter to drawCallback, below.
  var is_initial_draw = this.is_initial_draw_;
  this.is_initial_draw_ = false;

  var minY = null, maxY = null;
  this.layout_.removeAllDatasets();
  this.setColors_();
  this.attrs_['pointSize'] = 0.5 * this.attr_('highlightCircleSize');

  // Loop over the fields (series).  Go from the last to the first,
  // because if they're stacked that's how we accumulate the values.

  var cumulative_y = [];  // For stacked series.
  var datasets = [];

  var extremes = {};  // series name -> [low, high]

  // Loop over all fields and create datasets
  for (var i = data[0].length - 1; i >= 1; i--) {
    if (!this.visibility()[i - 1]) continue;

    var seriesName = this.attr_("labels")[i];
    var connectSeparatedPoints = this.attr_('connectSeparatedPoints', i);
    var logScale = this.attr_('logscale', i);

    var series = [];
    for (var j = 0; j < data.length; j++) {
      var date = data[j][0];
      var point = data[j][i];
      if (logScale) {
        // On the log scale, points less than zero do not exist.
        // This will create a gap in the chart. Note that this ignores
        // connectSeparatedPoints.
        if (point <= 0) {
          point = null;
        }
        series.push([date, point]);
      } else {
        if (point != null || !connectSeparatedPoints) {
          series.push([date, point]);
        }
      }
    }

    // TODO(danvk): move this into predraw_. It's insane to do it here.
    series = this.rollingAverage(series, this.rollPeriod_);

    // Prune down to the desired range, if necessary (for zooming)
    // Because there can be lines going to points outside of the visible area,
    // we actually prune to visible points, plus one on either side.
    var bars = this.attr_("errorBars") || this.attr_("customBars");
    if (this.dateWindow_) {
      var low = this.dateWindow_[0];
      var high= this.dateWindow_[1];
      var pruned = [];
      // TODO(danvk): do binary search instead of linear search.
      // TODO(danvk): pass firstIdx and lastIdx directly to the renderer.
      var firstIdx = null, lastIdx = null;
      for (var k = 0; k < series.length; k++) {
        if (series[k][0] >= low && firstIdx === null) {
          firstIdx = k;
        }
        if (series[k][0] <= high) {
          lastIdx = k;
        }
      }
      if (firstIdx === null) firstIdx = 0;
      if (firstIdx > 0) firstIdx--;
      if (lastIdx === null) lastIdx = series.length - 1;
      if (lastIdx < series.length - 1) lastIdx++;
      this.boundaryIds_[i-1] = [firstIdx, lastIdx];
      for (var k = firstIdx; k <= lastIdx; k++) {
        pruned.push(series[k]);
      }
      series = pruned;
    } else {
      this.boundaryIds_[i-1] = [0, series.length-1];
    }

    var seriesExtremes = this.extremeValues_(series);

    if (bars) {
      for (var j=0; j<series.length; j++) {
        val = [series[j][0], series[j][1][0], series[j][1][1], series[j][1][2]];
        series[j] = val;
      }
    } else if (this.attr_("stackedGraph")) {
      var l = series.length;
      var actual_y;
      for (var j = 0; j < l; j++) {
        // If one data set has a NaN, let all subsequent stacked
        // sets inherit the NaN -- only start at 0 for the first set.
        var x = series[j][0];
        if (cumulative_y[x] === undefined) {
          cumulative_y[x] = 0;
        }

        actual_y = series[j][1];
        cumulative_y[x] += actual_y;

        series[j] = [x, cumulative_y[x]]

        if (cumulative_y[x] > seriesExtremes[1]) {
          seriesExtremes[1] = cumulative_y[x];
        }
        if (cumulative_y[x] < seriesExtremes[0]) {
          seriesExtremes[0] = cumulative_y[x];
        }
      }
    }
    extremes[seriesName] = seriesExtremes;

    datasets[i] = series;
  }

  for (var i = 1; i < datasets.length; i++) {
    if (!this.visibility()[i - 1]) continue;
    this.layout_.addDataset(this.attr_("labels")[i], datasets[i]);
  }

  this.computeYAxisRanges_(extremes);
  this.layout_.setYAxes(this.axes_);

  this.addXTicks_();

  // Save the X axis zoomed status as the updateOptions call will tend to set it erroneously
  var tmp_zoomed_x = this.zoomed_x_;
  // Tell PlotKit to use this new data and render itself
  this.layout_.setDateWindow(this.dateWindow_);
  this.zoomed_x_ = tmp_zoomed_x;
  this.layout_.evaluateWithError();
  this.renderGraph_(is_initial_draw, false);

  if (this.attr_("timingName")) {
    var end = new Date();
    if (console) {
      console.log(this.attr_("timingName") + " - drawGraph: " + (end - start) + "ms")
    }
  }
};

Dygraph.prototype.renderGraph_ = function(is_initial_draw, clearSelection) {
  this.plotter_.clear();
  this.plotter_.render();
  this.canvas_.getContext('2d').clearRect(0, 0, this.canvas_.width,
                                          this.canvas_.height);

  if (is_initial_draw) {
    // Generate a static legend before any particular point is selected.
    this.setLegendHTML_();
  } else {
    if (clearSelection) {
      if (typeof(this.selPoints_) !== 'undefined' && this.selPoints_.length) {
        // We should select the point nearest the page x/y here, but it's easier
        // to just clear the selection. This prevents erroneous hover dots from
        // being displayed.
        this.clearSelection();
      } else {
        this.clearSelection();
      }
    }
  }

  if (this.attr_("drawCallback") !== null) {
    this.attr_("drawCallback")(this, is_initial_draw);
  }
};

/**
 * @private
 * Determine properties of the y-axes which are independent of the data
 * currently being displayed. This includes things like the number of axes and
 * the style of the axes. It does not include the range of each axis and its
 * tick marks.
 * This fills in this.axes_ and this.seriesToAxisMap_.
 * axes_ = [ { options } ]
 * seriesToAxisMap_ = { seriesName: 0, seriesName2: 1, ... }
 *   indices are into the axes_ array.
 */
Dygraph.prototype.computeYAxes_ = function() {
  // Preserve valueWindow settings if they exist, and if the user hasn't
  // specified a new valueRange.
  var valueWindows;
  if (this.axes_ != undefined && this.user_attrs_.hasOwnProperty("valueRange") == false) {
    valueWindows = [];
    for (var index = 0; index < this.axes_.length; index++) {
      valueWindows.push(this.axes_[index].valueWindow);
    }
  }


  this.axes_ = [{ yAxisId : 0, g : this }];  // always have at least one y-axis.
  this.seriesToAxisMap_ = {};

  // Get a list of series names.
  var labels = this.attr_("labels");
  var series = {};
  for (var i = 1; i < labels.length; i++) series[labels[i]] = (i - 1);

  // all options which could be applied per-axis:
  var axisOptions = [
    'includeZero',
    'valueRange',
    'labelsKMB',
    'labelsKMG2',
    'pixelsPerYLabel',
    'yAxisLabelWidth',
    'axisLabelFontSize',
    'axisTickSize',
    'logscale'
  ];

  // Copy global axis options over to the first axis.
  for (var i = 0; i < axisOptions.length; i++) {
    var k = axisOptions[i];
    var v = this.attr_(k);
    if (v) this.axes_[0][k] = v;
  }

  // Go through once and add all the axes.
  for (var seriesName in series) {
    if (!series.hasOwnProperty(seriesName)) continue;
    var axis = this.attr_("axis", seriesName);
    if (axis == null) {
      this.seriesToAxisMap_[seriesName] = 0;
      continue;
    }
    if (typeof(axis) == 'object') {
      // Add a new axis, making a copy of its per-axis options.
      var opts = {};
      Dygraph.update(opts, this.axes_[0]);
      Dygraph.update(opts, { valueRange: null });  // shouldn't inherit this.
      var yAxisId = this.axes_.length;
      opts.yAxisId = yAxisId;
      opts.g = this;
      Dygraph.update(opts, axis);
      this.axes_.push(opts);
      this.seriesToAxisMap_[seriesName] = yAxisId;
    }
  }

  // Go through one more time and assign series to an axis defined by another
  // series, e.g. { 'Y1: { axis: {} }, 'Y2': { axis: 'Y1' } }
  for (var seriesName in series) {
    if (!series.hasOwnProperty(seriesName)) continue;
    var axis = this.attr_("axis", seriesName);
    if (typeof(axis) == 'string') {
      if (!this.seriesToAxisMap_.hasOwnProperty(axis)) {
        this.error("Series " + seriesName + " wants to share a y-axis with " +
                   "series " + axis + ", which does not define its own axis.");
        return null;
      }
      var idx = this.seriesToAxisMap_[axis];
      this.seriesToAxisMap_[seriesName] = idx;
    }
  }

  // Now we remove series from seriesToAxisMap_ which are not visible. We do
  // this last so that hiding the first series doesn't destroy the axis
  // properties of the primary axis.
  var seriesToAxisFiltered = {};
  var vis = this.visibility();
  for (var i = 1; i < labels.length; i++) {
    var s = labels[i];
    if (vis[i - 1]) seriesToAxisFiltered[s] = this.seriesToAxisMap_[s];
  }
  this.seriesToAxisMap_ = seriesToAxisFiltered;

  if (valueWindows != undefined) {
    // Restore valueWindow settings.
    for (var index = 0; index < valueWindows.length; index++) {
      this.axes_[index].valueWindow = valueWindows[index];
    }
  }
};

/**
 * Returns the number of y-axes on the chart.
 * @return {Number} the number of axes.
 */
Dygraph.prototype.numAxes = function() {
  var last_axis = 0;
  for (var series in this.seriesToAxisMap_) {
    if (!this.seriesToAxisMap_.hasOwnProperty(series)) continue;
    var idx = this.seriesToAxisMap_[series];
    if (idx > last_axis) last_axis = idx;
  }
  return 1 + last_axis;
};

/**
 * @private
 * Returns axis properties for the given series.
 * @param { String } setName The name of the series for which to get axis
 * properties, e.g. 'Y1'.
 * @return { Object } The axis properties.
 */
Dygraph.prototype.axisPropertiesForSeries = function(series) {
  // TODO(danvk): handle errors.
  return this.axes_[this.seriesToAxisMap_[series]];
};

/**
 * @private
 * Determine the value range and tick marks for each axis.
 * @param {Object} extremes A mapping from seriesName -> [low, high]
 * This fills in the valueRange and ticks fields in each entry of this.axes_.
 */
Dygraph.prototype.computeYAxisRanges_ = function(extremes) {
  // Build a map from axis number -> [list of series names]
  var seriesForAxis = [];
  for (var series in this.seriesToAxisMap_) {
    if (!this.seriesToAxisMap_.hasOwnProperty(series)) continue;
    var idx = this.seriesToAxisMap_[series];
    while (seriesForAxis.length <= idx) seriesForAxis.push([]);
    seriesForAxis[idx].push(series);
  }

  // Compute extreme values, a span and tick marks for each axis.
  for (var i = 0; i < this.axes_.length; i++) {
    var axis = this.axes_[i];

    if (!seriesForAxis[i]) {
      // If no series are defined or visible then use a reasonable default
      axis.extremeRange = [0, 1];
    } else {
      // Calculate the extremes of extremes.
      var series = seriesForAxis[i];
      var minY = Infinity;  // extremes[series[0]][0];
      var maxY = -Infinity;  // extremes[series[0]][1];
      var extremeMinY, extremeMaxY;
      for (var j = 0; j < series.length; j++) {
        // Only use valid extremes to stop null data series' from corrupting the scale.
        extremeMinY = extremes[series[j]][0];
        if (extremeMinY != null) {
          minY = Math.min(extremeMinY, minY);
        }
        extremeMaxY = extremes[series[j]][1];
        if (extremeMaxY != null) {
          maxY = Math.max(extremeMaxY, maxY);
        }
      }
      if (axis.includeZero && minY > 0) minY = 0;

      // Ensure we have a valid scale, otherwise defualt to zero for safety.
      if (minY == Infinity) minY = 0;
      if (maxY == -Infinity) maxY = 0;

      // Add some padding and round up to an integer to be human-friendly.
      var span = maxY - minY;
      // special case: if we have no sense of scale, use +/-10% of the sole value.
      if (span == 0) { span = maxY; }

      var maxAxisY;
      var minAxisY;
      if (axis.logscale) {
        var maxAxisY = maxY + 0.1 * span;
        var minAxisY = minY;
      } else {
        var maxAxisY = maxY + 0.1 * span;
        var minAxisY = minY - 0.1 * span;

        // Try to include zero and make it minAxisY (or maxAxisY) if it makes sense.
        if (!this.attr_("avoidMinZero")) {
          if (minAxisY < 0 && minY >= 0) minAxisY = 0;
          if (maxAxisY > 0 && maxY <= 0) maxAxisY = 0;
        }

        if (this.attr_("includeZero")) {
          if (maxY < 0) maxAxisY = 0;
          if (minY > 0) minAxisY = 0;
        }
      }
      axis.extremeRange = [minAxisY, maxAxisY];
    }
    if (axis.valueWindow) {
      // This is only set if the user has zoomed on the y-axis. It is never set
      // by a user. It takes precedence over axis.valueRange because, if you set
      // valueRange, you'd still expect to be able to pan.
      axis.computedValueRange = [axis.valueWindow[0], axis.valueWindow[1]];
    } else if (axis.valueRange) {
      // This is a user-set value range for this axis.
      axis.computedValueRange = [axis.valueRange[0], axis.valueRange[1]];
    } else {
      axis.computedValueRange = axis.extremeRange;
    }

    // Add ticks. By default, all axes inherit the tick positions of the
    // primary axis. However, if an axis is specifically marked as having
    // independent ticks, then that is permissible as well.
    if (i == 0 || axis.independentTicks) {
      axis.ticks =
        Dygraph.numericTicks(axis.computedValueRange[0],
                             axis.computedValueRange[1],
                             this,
                             axis);
    } else {
      var p_axis = this.axes_[0];
      var p_ticks = p_axis.ticks;
      var p_scale = p_axis.computedValueRange[1] - p_axis.computedValueRange[0];
      var scale = axis.computedValueRange[1] - axis.computedValueRange[0];
      var tick_values = [];
      for (var k = 0; k < p_ticks.length; k++) {
        var y_frac = (p_ticks[k].v - p_axis.computedValueRange[0]) / p_scale;
        var y_val = axis.computedValueRange[0] + y_frac * scale;
        tick_values.push(y_val);
      }

      axis.ticks =
        Dygraph.numericTicks(axis.computedValueRange[0],
                             axis.computedValueRange[1],
                             this, axis, tick_values);
    }
  }
};

/**
 * @private
 * Calculates the rolling average of a data set.
 * If originalData is [label, val], rolls the average of those.
 * If originalData is [label, [, it's interpreted as [value, stddev]
 *   and the roll is returned in the same form, with appropriately reduced
 *   stddev for each value.
 * Note that this is where fractional input (i.e. '5/10') is converted into
 *   decimal values.
 * @param {Array} originalData The data in the appropriate format (see above)
 * @param {Number} rollPeriod The number of points over which to average the
 *                            data
 */
Dygraph.prototype.rollingAverage = function(originalData, rollPeriod) {
  if (originalData.length < 2)
    return originalData;
  var rollPeriod = Math.min(rollPeriod, originalData.length);
  var rollingData = [];
  var sigma = this.attr_("sigma");

  if (this.fractions_) {
    var num = 0;
    var den = 0;  // numerator/denominator
    var mult = 100.0;
    for (var i = 0; i < originalData.length; i++) {
      num += originalData[i][1][0];
      den += originalData[i][1][1];
      if (i - rollPeriod >= 0) {
        num -= originalData[i - rollPeriod][1][0];
        den -= originalData[i - rollPeriod][1][1];
      }

      var date = originalData[i][0];
      var value = den ? num / den : 0.0;
      if (this.attr_("errorBars")) {
        if (this.wilsonInterval_) {
          // For more details on this confidence interval, see:
          // http://en.wikipedia.org/wiki/Binomial_confidence_interval
          if (den) {
            var p = value < 0 ? 0 : value, n = den;
            var pm = sigma * Math.sqrt(p*(1-p)/n + sigma*sigma/(4*n*n));
            var denom = 1 + sigma * sigma / den;
            var low  = (p + sigma * sigma / (2 * den) - pm) / denom;
            var high = (p + sigma * sigma / (2 * den) + pm) / denom;
            rollingData[i] = [date,
                              [p * mult, (p - low) * mult, (high - p) * mult]];
          } else {
            rollingData[i] = [date, [0, 0, 0]];
          }
        } else {
          var stddev = den ? sigma * Math.sqrt(value * (1 - value) / den) : 1.0;
          rollingData[i] = [date, [mult * value, mult * stddev, mult * stddev]];
        }
      } else {
        rollingData[i] = [date, mult * value];
      }
    }
  } else if (this.attr_("customBars")) {
    var low = 0;
    var mid = 0;
    var high = 0;
    var count = 0;
    for (var i = 0; i < originalData.length; i++) {
      var data = originalData[i][1];
      var y = data[1];
      rollingData[i] = [originalData[i][0], [y, y - data[0], data[2] - y]];

      if (y != null && !isNaN(y)) {
        low += data[0];
        mid += y;
        high += data[2];
        count += 1;
      }
      if (i - rollPeriod >= 0) {
        var prev = originalData[i - rollPeriod];
        if (prev[1][1] != null && !isNaN(prev[1][1])) {
          low -= prev[1][0];
          mid -= prev[1][1];
          high -= prev[1][2];
          count -= 1;
        }
      }
      if (count) {
        rollingData[i] = [originalData[i][0], [ 1.0 * mid / count,
                                                1.0 * (mid - low) / count,
                                                1.0 * (high - mid) / count ]];
      } else {
        rollingData[i] = [originalData[i][0], [null, null, null]];
      }
    }
  } else {
    // Calculate the rolling average for the first rollPeriod - 1 points where
    // there is not enough data to roll over the full number of points
    var num_init_points = Math.min(rollPeriod - 1, originalData.length - 2);
    if (!this.attr_("errorBars")){
      if (rollPeriod == 1) {
        return originalData;
      }

      for (var i = 0; i < originalData.length; i++) {
        var sum = 0;
        var num_ok = 0;
        for (var j = Math.max(0, i - rollPeriod + 1); j < i + 1; j++) {
          var y = originalData[j][1];
          if (y == null || isNaN(y)) continue;
          num_ok++;
          sum += originalData[j][1];
        }
        if (num_ok) {
          rollingData[i] = [originalData[i][0], sum / num_ok];
        } else {
          rollingData[i] = [originalData[i][0], null];
        }
      }

    } else {
      for (var i = 0; i < originalData.length; i++) {
        var sum = 0;
        var variance = 0;
        var num_ok = 0;
        for (var j = Math.max(0, i - rollPeriod + 1); j < i + 1; j++) {
          var y = originalData[j][1][0];
          if (y == null || isNaN(y)) continue;
          num_ok++;
          sum += originalData[j][1][0];
          variance += Math.pow(originalData[j][1][1], 2);
        }
        if (num_ok) {
          var stddev = Math.sqrt(variance) / num_ok;
          rollingData[i] = [originalData[i][0],
                            [sum / num_ok, sigma * stddev, sigma * stddev]];
        } else {
          rollingData[i] = [originalData[i][0], [null, null, null]];
        }
      }
    }
  }

  return rollingData;
};

/**
 * Detects the type of the str (date or numeric) and sets the various
 * formatting attributes in this.attrs_ based on this type.
 * @param {String} str An x value.
 * @private
 */
Dygraph.prototype.detectTypeFromString_ = function(str) {
  var isDate = false;
  if (str.indexOf('-') > 0 ||
      str.indexOf('/') >= 0 ||
      isNaN(parseFloat(str))) {
    isDate = true;
  } else if (str.length == 8 && str > '19700101' && str < '20371231') {
    // TODO(danvk): remove support for this format.
    isDate = true;
  }

  if (isDate) {
    this.attrs_.xValueFormatter = Dygraph.dateString_;
    this.attrs_.xValueParser = Dygraph.dateParser;
    this.attrs_.xTicker = Dygraph.dateTicker;
    this.attrs_.xAxisLabelFormatter = Dygraph.dateAxisFormatter;
  } else {
    // TODO(danvk): use Dygraph.numberFormatter here?
    /** @private (shut up, jsdoc!) */
    this.attrs_.xValueFormatter = function(x) { return x; };
    /** @private (shut up, jsdoc!) */
    this.attrs_.xValueParser = function(x) { return parseFloat(x); };
    this.attrs_.xTicker = Dygraph.numericTicks;
    this.attrs_.xAxisLabelFormatter = this.attrs_.xValueFormatter;
  }
};

/**
 * Parses the value as a floating point number. This is like the parseFloat()
 * built-in, but with a few differences:
 * - the empty string is parsed as null, rather than NaN.
 * - if the string cannot be parsed at all, an error is logged.
 * If the string can't be parsed, this method returns null.
 * @param {String} x The string to be parsed
 * @param {Number} opt_line_no The line number from which the string comes.
 * @param {String} opt_line The text of the line from which the string comes.
 * @private
 */

// Parse the x as a float or return null if it's not a number.
Dygraph.prototype.parseFloat_ = function(x, opt_line_no, opt_line) {
  var val = parseFloat(x);
  if (!isNaN(val)) return val;

  // Try to figure out what happeend.
  // If the value is the empty string, parse it as null.
  if (/^ *$/.test(x)) return null;

  // If it was actually "NaN", return it as NaN.
  if (/^ *nan *$/i.test(x)) return NaN;

  // Looks like a parsing error.
  var msg = "Unable to parse '" + x + "' as a number";
  if (opt_line !== null && opt_line_no !== null) {
    msg += " on line " + (1+opt_line_no) + " ('" + opt_line + "') of CSV.";
  }
  this.error(msg);

  return null;
};

/**
 * @private
 * Parses a string in a special csv format.  We expect a csv file where each
 * line is a date point, and the first field in each line is the date string.
 * We also expect that all remaining fields represent series.
 * if the errorBars attribute is set, then interpret the fields as:
 * date, series1, stddev1, series2, stddev2, ...
 * @param {[Object]} data See above.
 *
 * @return [Object] An array with one entry for each row. These entries
 * are an array of cells in that row. The first entry is the parsed x-value for
 * the row. The second, third, etc. are the y-values. These can take on one of
 * three forms, depending on the CSV and constructor parameters:
 * 1. numeric value
 * 2. [ value, stddev ]
 * 3. [ low value, center value, high value ]
 */
Dygraph.prototype.parseCSV_ = function(data) {
  var ret = [];
  var lines = data.split("\n");

  // Use the default delimiter or fall back to a tab if that makes sense.
  var delim = this.attr_('delimiter');
  if (lines[0].indexOf(delim) == -1 && lines[0].indexOf('\t') >= 0) {
    delim = '\t';
  }

  var start = 0;
  if (!('labels' in this.user_attrs_)) {
    // User hasn't explicitly set labels, so they're (presumably) in the CSV.
    start = 1;
    this.attrs_.labels = lines[0].split(delim);  // NOTE: _not_ user_attrs_.
  }
  var line_no = 0;

  var xParser;
  var defaultParserSet = false;  // attempt to auto-detect x value type
  var expectedCols = this.attr_("labels").length;
  var outOfOrder = false;
  for (var i = start; i < lines.length; i++) {
    var line = lines[i];
    line_no = i;
    if (line.length == 0) continue;  // skip blank lines
    if (line[0] == '#') continue;    // skip comment lines
    var inFields = line.split(delim);
    if (inFields.length < 2) continue;

    var fields = [];
    if (!defaultParserSet) {
      this.detectTypeFromString_(inFields[0]);
      xParser = this.attr_("xValueParser");
      defaultParserSet = true;
    }
    fields[0] = xParser(inFields[0], this);

    // If fractions are expected, parse the numbers as "A/B"
    if (this.fractions_) {
      for (var j = 1; j < inFields.length; j++) {
        // TODO(danvk): figure out an appropriate way to flag parse errors.
        var vals = inFields[j].split("/");
        if (vals.length != 2) {
          this.error('Expected fractional "num/den" values in CSV data ' +
                     "but found a value '" + inFields[j] + "' on line " +
                     (1 + i) + " ('" + line + "') which is not of this form.");
          fields[j] = [0, 0];
        } else {
          fields[j] = [this.parseFloat_(vals[0], i, line),
                       this.parseFloat_(vals[1], i, line)];
        }
      }
    } else if (this.attr_("errorBars")) {
      // If there are error bars, values are (value, stddev) pairs
      if (inFields.length % 2 != 1) {
        this.error('Expected alternating (value, stdev.) pairs in CSV data ' +
                   'but line ' + (1 + i) + ' has an odd number of values (' +
                   (inFields.length - 1) + "): '" + line + "'");
      }
      for (var j = 1; j < inFields.length; j += 2) {
        fields[(j + 1) / 2] = [this.parseFloat_(inFields[j], i, line),
                               this.parseFloat_(inFields[j + 1], i, line)];
      }
    } else if (this.attr_("customBars")) {
      // Bars are a low;center;high tuple
      for (var j = 1; j < inFields.length; j++) {
        var val = inFields[j];
        if (/^ *$/.test(val)) {
          fields[j] = [null, null, null];
        } else {
          var vals = val.split(";");
          if (vals.length == 3) {
            fields[j] = [ this.parseFloat_(vals[0], i, line),
                          this.parseFloat_(vals[1], i, line),
                          this.parseFloat_(vals[2], i, line) ];
          } else {
            this.warning('When using customBars, values must be either blank ' +
                         'or "low;center;high" tuples (got "' + val +
                         '" on line ' + (1+i));
          }
        }
      }
    } else {
      // Values are just numbers
      for (var j = 1; j < inFields.length; j++) {
        fields[j] = this.parseFloat_(inFields[j], i, line);
      }
    }
    if (ret.length > 0 && fields[0] < ret[ret.length - 1][0]) {
      outOfOrder = true;
    }

    if (fields.length != expectedCols) {
      this.error("Number of columns in line " + i + " (" + fields.length +
                 ") does not agree with number of labels (" + expectedCols +
                 ") " + line);
    }

    // If the user specified the 'labels' option and none of the cells of the
    // first row parsed correctly, then they probably double-specified the
    // labels. We go with the values set in the option, discard this row and
    // log a warning to the JS console.
    if (i == 0 && this.attr_('labels')) {
      var all_null = true;
      for (var j = 0; all_null && j < fields.length; j++) {
        if (fields[j]) all_null = false;
      }
      if (all_null) {
        this.warn("The dygraphs 'labels' option is set, but the first row of " +
                  "CSV data ('" + line + "') appears to also contain labels. " +
                  "Will drop the CSV labels and use the option labels.");
        continue;
      }
    }
    ret.push(fields);
  }

  if (outOfOrder) {
    this.warn("CSV is out of order; order it correctly to speed loading.");
    ret.sort(function(a,b) { return a[0] - b[0] });
  }

  return ret;
};

/**
 * @private
 * The user has provided their data as a pre-packaged JS array. If the x values
 * are numeric, this is the same as dygraphs' internal format. If the x values
 * are dates, we need to convert them from Date objects to ms since epoch.
 * @param {[Object]} data
 * @return {[Object]} data with numeric x values.
 */
Dygraph.prototype.parseArray_ = function(data) {
  // Peek at the first x value to see if it's numeric.
  if (data.length == 0) {
    this.error("Can't plot empty data set");
    return null;
  }
  if (data[0].length == 0) {
    this.error("Data set cannot contain an empty row");
    return null;
  }

  if (this.attr_("labels") == null) {
    this.warn("Using default labels. Set labels explicitly via 'labels' " +
              "in the options parameter");
    this.attrs_.labels = [ "X" ];
    for (var i = 1; i < data[0].length; i++) {
      this.attrs_.labels.push("Y" + i);
    }
  }

  if (Dygraph.isDateLike(data[0][0])) {
    // Some intelligent defaults for a date x-axis.
    this.attrs_.xValueFormatter = Dygraph.dateString_;
    this.attrs_.xAxisLabelFormatter = Dygraph.dateAxisFormatter;
    this.attrs_.xTicker = Dygraph.dateTicker;

    // Assume they're all dates.
    var parsedData = Dygraph.clone(data);
    for (var i = 0; i < data.length; i++) {
      if (parsedData[i].length == 0) {
        this.error("Row " + (1 + i) + " of data is empty");
        return null;
      }
      if (parsedData[i][0] == null
          || typeof(parsedData[i][0].getTime) != 'function'
          || isNaN(parsedData[i][0].getTime())) {
        this.error("x value in row " + (1 + i) + " is not a Date");
        return null;
      }
      parsedData[i][0] = parsedData[i][0].getTime();
    }
    return parsedData;
  } else {
    // Some intelligent defaults for a numeric x-axis.
    /** @private (shut up, jsdoc!) */
    this.attrs_.xValueFormatter = function(x) { return x; };
    this.attrs_.xTicker = Dygraph.numericTicks;
    return data;
  }
};

/**
 * Parses a DataTable object from gviz.
 * The data is expected to have a first column that is either a date or a
 * number. All subsequent columns must be numbers. If there is a clear mismatch
 * between this.xValueParser_ and the type of the first column, it will be
 * fixed. Fills out rawData_.
 * @param {[Object]} data See above.
 * @private
 */
Dygraph.prototype.parseDataTable_ = function(data) {
  var cols = data.getNumberOfColumns();
  var rows = data.getNumberOfRows();

  var indepType = data.getColumnType(0);
  if (indepType == 'date' || indepType == 'datetime') {
    this.attrs_.xValueFormatter = Dygraph.dateString_;
    this.attrs_.xValueParser = Dygraph.dateParser;
    this.attrs_.xTicker = Dygraph.dateTicker;
    this.attrs_.xAxisLabelFormatter = Dygraph.dateAxisFormatter;
  } else if (indepType == 'number') {
    this.attrs_.xValueFormatter = function(x) { return x; };
    this.attrs_.xValueParser = function(x) { return parseFloat(x); };
    this.attrs_.xTicker = Dygraph.numericTicks;
    this.attrs_.xAxisLabelFormatter = this.attrs_.xValueFormatter;
  } else {
    this.error("only 'date', 'datetime' and 'number' types are supported for " +
               "column 1 of DataTable input (Got '" + indepType + "')");
    return null;
  }

  // Array of the column indices which contain data (and not annotations).
  var colIdx = [];
  var annotationCols = {};  // data index -> [annotation cols]
  var hasAnnotations = false;
  for (var i = 1; i < cols; i++) {
    var type = data.getColumnType(i);
    if (type == 'number') {
      colIdx.push(i);
    } else if (type == 'string' && this.attr_('displayAnnotations')) {
      // This is OK -- it's an annotation column.
      var dataIdx = colIdx[colIdx.length - 1];
      if (!annotationCols.hasOwnProperty(dataIdx)) {
        annotationCols[dataIdx] = [i];
      } else {
        annotationCols[dataIdx].push(i);
      }
      hasAnnotations = true;
    } else {
      this.error("Only 'number' is supported as a dependent type with Gviz." +
                 " 'string' is only supported if displayAnnotations is true");
    }
  }

  // Read column labels
  // TODO(danvk): add support back for errorBars
  var labels = [data.getColumnLabel(0)];
  for (var i = 0; i < colIdx.length; i++) {
    labels.push(data.getColumnLabel(colIdx[i]));
    if (this.attr_("errorBars")) i += 1;
  }
  this.attrs_.labels = labels;
  cols = labels.length;

  var ret = [];
  var outOfOrder = false;
  var annotations = [];
  for (var i = 0; i < rows; i++) {
    var row = [];
    if (typeof(data.getValue(i, 0)) === 'undefined' ||
        data.getValue(i, 0) === null) {
      this.warn("Ignoring row " + i +
                " of DataTable because of undefined or null first column.");
      continue;
    }

    if (indepType == 'date' || indepType == 'datetime') {
      row.push(data.getValue(i, 0).getTime());
    } else {
      row.push(data.getValue(i, 0));
    }
    if (!this.attr_("errorBars")) {
      for (var j = 0; j < colIdx.length; j++) {
        var col = colIdx[j];
        row.push(data.getValue(i, col));
        if (hasAnnotations &&
            annotationCols.hasOwnProperty(col) &&
            data.getValue(i, annotationCols[col][0]) != null) {
          var ann = {};
          ann.series = data.getColumnLabel(col);
          ann.xval = row[0];
          ann.shortText = String.fromCharCode(65 /* A */ + annotations.length)
          ann.text = '';
          for (var k = 0; k < annotationCols[col].length; k++) {
            if (k) ann.text += "\n";
            ann.text += data.getValue(i, annotationCols[col][k]);
          }
          annotations.push(ann);
        }
      }

      // Strip out infinities, which give dygraphs problems later on.
      for (var j = 0; j < row.length; j++) {
        if (!isFinite(row[j])) row[j] = null;
      }
    } else {
      for (var j = 0; j < cols - 1; j++) {
        row.push([ data.getValue(i, 1 + 2 * j), data.getValue(i, 2 + 2 * j) ]);
      }
    }
    if (ret.length > 0 && row[0] < ret[ret.length - 1][0]) {
      outOfOrder = true;
    }
    ret.push(row);
  }

  if (outOfOrder) {
    this.warn("DataTable is out of order; order it correctly to speed loading.");
    ret.sort(function(a,b) { return a[0] - b[0] });
  }
  this.rawData_ = ret;

  if (annotations.length > 0) {
    this.setAnnotations(annotations, true);
  }
}

/**
 * Get the CSV data. If it's in a function, call that function. If it's in a
 * file, do an XMLHttpRequest to get it.
 * @private
 */
Dygraph.prototype.start_ = function() {
  if (typeof this.file_ == 'function') {
    // CSV string. Pretend we got it via XHR.
    this.loadedEvent_(this.file_());
  } else if (Dygraph.isArrayLike(this.file_)) {
    this.rawData_ = this.parseArray_(this.file_);
    this.predraw_();
  } else if (typeof this.file_ == 'object' &&
             typeof this.file_.getColumnRange == 'function') {
    // must be a DataTable from gviz.
    this.parseDataTable_(this.file_);
    this.predraw_();
  } else if (typeof this.file_ == 'string') {
    // Heuristic: a newline means it's CSV data. Otherwise it's an URL.
    if (this.file_.indexOf('\n') >= 0) {
      this.loadedEvent_(this.file_);
    } else {
      var req = new XMLHttpRequest();
      var caller = this;
      req.onreadystatechange = function () {
        if (req.readyState == 4) {
          if (req.status == 200 ||  // Normal http
              req.status == 0) {    // Chrome w/ --allow-file-access-from-files
            caller.loadedEvent_(req.responseText);
          }
        }
      };

      req.open("GET", this.file_, true);
      req.send(null);
    }
  } else {
    this.error("Unknown data format: " + (typeof this.file_));
  }
};

/**
 * Changes various properties of the graph. These can include:
 * <ul>
 * <li>file: changes the source data for the graph</li>
 * <li>errorBars: changes whether the data contains stddev</li>
 * </ul>
 *
 * There's a huge variety of options that can be passed to this method. For a
 * full list, see http://dygraphs.com/options.html.
 *
 * @param {Object} attrs The new properties and values
 * @param {Boolean} [block_redraw] Usually the chart is redrawn after every
 * call to updateOptions(). If you know better, you can pass true to explicitly
 * block the redraw. This can be useful for chaining updateOptions() calls,
 * avoiding the occasional infinite loop and preventing redraws when it's not
 * necessary (e.g. when updating a callback).
 */
Dygraph.prototype.updateOptions = function(attrs, block_redraw) {
  if (typeof(block_redraw) == 'undefined') block_redraw = false;

  // TODO(danvk): this is a mess. Move these options into attr_.
  if ('rollPeriod' in attrs) {
    this.rollPeriod_ = attrs.rollPeriod;
  }
  if ('dateWindow' in attrs) {
    this.dateWindow_ = attrs.dateWindow;
    if (!('isZoomedIgnoreProgrammaticZoom' in attrs)) {
      this.zoomed_x_ = attrs.dateWindow != null;
    }
  }
  if ('valueRange' in attrs && !('isZoomedIgnoreProgrammaticZoom' in attrs)) {
    this.zoomed_y_ = attrs.valueRange != null;
  }

  // TODO(danvk): validate per-series options.
  // Supported:
  // strokeWidth
  // pointSize
  // drawPoints
  // highlightCircleSize

  // Check if this set options will require new points.
  var requiresNewPoints = Dygraph.isPixelChangingOptionList(this.attr_("labels"), attrs);

  Dygraph.update(this.user_attrs_, attrs);

  if (attrs['file']) {
    this.file_ = attrs['file'];
    if (!block_redraw) this.start_();
  } else {
    if (!block_redraw) {
      if (requiresNewPoints) {
        this.predraw_(); 
      } else {
        this.renderGraph_(false, false);
      }
    }
  }
};

/**
 * Resizes the dygraph. If no parameters are specified, resizes to fill the
 * containing div (which has presumably changed size since the dygraph was
 * instantiated. If the width/height are specified, the div will be resized.
 *
 * This is far more efficient than destroying and re-instantiating a
 * Dygraph, since it doesn't have to reparse the underlying data.
 *
 * @param {Number} [width] Width (in pixels)
 * @param {Number} [height] Height (in pixels)
 */
Dygraph.prototype.resize = function(width, height) {
  if (this.resize_lock) {
    return;
  }
  this.resize_lock = true;

  if ((width === null) != (height === null)) {
    this.warn("Dygraph.resize() should be called with zero parameters or " +
              "two non-NULL parameters. Pretending it was zero.");
    width = height = null;
  }

  var old_width = this.width_;
  var old_height = this.height_;

  if (width) {
    this.maindiv_.style.width = width + "px";
    this.maindiv_.style.height = height + "px";
    this.width_ = width;
    this.height_ = height;
  } else {
    this.width_ = this.maindiv_.offsetWidth;
    this.height_ = this.maindiv_.offsetHeight;
  }

  if (old_width != this.width_ || old_height != this.height_) {
    // TODO(danvk): there should be a clear() method.
    this.maindiv_.innerHTML = "";
    this.roller_ = null;
    this.attrs_.labelsDiv = null;
    this.createInterface_();
    this.predraw_();
  }

  this.resize_lock = false;
};

/**
 * Adjusts the number of points in the rolling average. Updates the graph to
 * reflect the new averaging period.
 * @param {Number} length Number of points over which to average the data.
 */
Dygraph.prototype.adjustRoll = function(length) {
  this.rollPeriod_ = length;
  this.predraw_();
};

/**
 * Returns a boolean array of visibility statuses.
 */
Dygraph.prototype.visibility = function() {
  // Do lazy-initialization, so that this happens after we know the number of
  // data series.
  if (!this.attr_("visibility")) {
    this.attrs_["visibility"] = [];
  }
  while (this.attr_("visibility").length < this.rawData_[0].length - 1) {
    this.attr_("visibility").push(true);
  }
  return this.attr_("visibility");
};

/**
 * Changes the visiblity of a series.
 */
Dygraph.prototype.setVisibility = function(num, value) {
  var x = this.visibility();
  if (num < 0 || num >= x.length) {
    this.warn("invalid series number in setVisibility: " + num);
  } else {
    x[num] = value;
    this.predraw_();
  }
};

/**
 * How large of an area will the dygraph render itself in?
 * This is used for testing.
 * @return A {width: w, height: h} object.
 * @private
 */
Dygraph.prototype.size = function() {
  return { width: this.width_, height: this.height_ };
};

/**
 * Update the list of annotations and redraw the chart.
 */
Dygraph.prototype.setAnnotations = function(ann, suppressDraw) {
  // Only add the annotation CSS rule once we know it will be used.
  Dygraph.addAnnotationRule();
  this.annotations_ = ann;
  this.layout_.setAnnotations(this.annotations_);
  if (!suppressDraw) {
    this.predraw_();
  }
};

/**
 * Return the list of annotations.
 */
Dygraph.prototype.annotations = function() {
  return this.annotations_;
};

/**
 * Get the index of a series (column) given its name. The first column is the
 * x-axis, so the data series start with index 1.
 */
Dygraph.prototype.indexFromSetName = function(name) {
  var labels = this.attr_("labels");
  for (var i = 0; i < labels.length; i++) {
    if (labels[i] == name) return i;
  }
  return null;
};

/**
 * @private
 * Adds a default style for the annotation CSS classes to the document. This is
 * only executed when annotations are actually used. It is designed to only be
 * called once -- all calls after the first will return immediately.
 */
Dygraph.addAnnotationRule = function() {
  if (Dygraph.addedAnnotationCSS) return;

  var rule = "border: 1px solid black; " +
             "background-color: white; " +
             "text-align: center;";

  var styleSheetElement = document.createElement("style");
  styleSheetElement.type = "text/css";
  document.getElementsByTagName("head")[0].appendChild(styleSheetElement);

  // Find the first style sheet that we can access.
  // We may not add a rule to a style sheet from another domain for security
  // reasons. This sometimes comes up when using gviz, since the Google gviz JS
  // adds its own style sheets from google.com.
  for (var i = 0; i < document.styleSheets.length; i++) {
    if (document.styleSheets[i].disabled) continue;
    var mysheet = document.styleSheets[i];
    try {
      if (mysheet.insertRule) {  // Firefox
        var idx = mysheet.cssRules ? mysheet.cssRules.length : 0;
        mysheet.insertRule(".dygraphDefaultAnnotation { " + rule + " }", idx);
      } else if (mysheet.addRule) {  // IE
        mysheet.addRule(".dygraphDefaultAnnotation", rule);
      }
      Dygraph.addedAnnotationCSS = true;
      return;
    } catch(err) {
      // Was likely a security exception.
    }
  }

  this.warn("Unable to add default annotation CSS rule; display may be off.");
}

// Older pages may still use this name.
DateGraph = Dygraph;