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try_matplotlib.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>try_matplotlib</title>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">matplotlib</span> notebook
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="k">import</span> <span class="n">pyplot</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pyplot</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">4</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
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var element = $('#1296db99-7c3b-459a-96e9-5452e00ff7df');
/* Put everything inside the global mpl namespace */
window.mpl = {};
mpl.get_websocket_type = function() {
if (typeof(WebSocket) !== 'undefined') {
return WebSocket;
} else if (typeof(MozWebSocket) !== 'undefined') {
return MozWebSocket;
} else {
alert('Your browser does not have WebSocket support.' +
'Please try Chrome, Safari or Firefox ≥ 6. ' +
'Firefox 4 and 5 are also supported but you ' +
'have to enable WebSockets in about:config.');
};
}
mpl.figure = function(figure_id, websocket, ondownload, parent_element) {
this.id = figure_id;
this.ws = websocket;
this.supports_binary = (this.ws.binaryType != undefined);
if (!this.supports_binary) {
var warnings = document.getElementById("mpl-warnings");
if (warnings) {
warnings.style.display = 'block';
warnings.textContent = (
"This browser does not support binary websocket messages. " +
"Performance may be slow.");
}
}
this.imageObj = new Image();
this.context = undefined;
this.message = undefined;
this.canvas = undefined;
this.rubberband_canvas = undefined;
this.rubberband_context = undefined;
this.format_dropdown = undefined;
this.image_mode = 'full';
this.root = $('<div/>');
this._root_extra_style(this.root)
this.root.attr('style', 'display: inline-block');
$(parent_element).append(this.root);
this._init_header(this);
this._init_canvas(this);
this._init_toolbar(this);
var fig = this;
this.waiting = false;
this.ws.onopen = function () {
fig.send_message("supports_binary", {value: fig.supports_binary});
fig.send_message("send_image_mode", {});
fig.send_message("refresh", {});
}
this.imageObj.onload = function() {
if (fig.image_mode == 'full') {
// Full images could contain transparency (where diff images
// almost always do), so we need to clear the canvas so that
// there is no ghosting.
fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);
}
fig.context.drawImage(fig.imageObj, 0, 0);
};
this.imageObj.onunload = function() {
this.ws.close();
}
this.ws.onmessage = this._make_on_message_function(this);
this.ondownload = ondownload;
}
mpl.figure.prototype._init_header = function() {
var titlebar = $(
'<div class="ui-dialog-titlebar ui-widget-header ui-corner-all ' +
'ui-helper-clearfix"/>');
var titletext = $(
'<div class="ui-dialog-title" style="width: 100%; ' +
'text-align: center; padding: 3px;"/>');
titlebar.append(titletext)
this.root.append(titlebar);
this.header = titletext[0];
}
mpl.figure.prototype._canvas_extra_style = function(canvas_div) {
}
mpl.figure.prototype._root_extra_style = function(canvas_div) {
}
mpl.figure.prototype._init_canvas = function() {
var fig = this;
var canvas_div = $('<div/>');
canvas_div.attr('style', 'position: relative; clear: both; outline: 0');
function canvas_keyboard_event(event) {
return fig.key_event(event, event['data']);
}
canvas_div.keydown('key_press', canvas_keyboard_event);
canvas_div.keyup('key_release', canvas_keyboard_event);
this.canvas_div = canvas_div
this._canvas_extra_style(canvas_div)
this.root.append(canvas_div);
var canvas = $('<canvas/>');
canvas.addClass('mpl-canvas');
canvas.attr('style', "left: 0; top: 0; z-index: 0; outline: 0")
this.canvas = canvas[0];
this.context = canvas[0].getContext("2d");
var rubberband = $('<canvas/>');
rubberband.attr('style', "position: absolute; left: 0; top: 0; z-index: 1;")
var pass_mouse_events = true;
canvas_div.resizable({
start: function(event, ui) {
pass_mouse_events = false;
},
resize: function(event, ui) {
fig.request_resize(ui.size.width, ui.size.height);
},
stop: function(event, ui) {
pass_mouse_events = true;
fig.request_resize(ui.size.width, ui.size.height);
},
});
function mouse_event_fn(event) {
if (pass_mouse_events)
return fig.mouse_event(event, event['data']);
}
rubberband.mousedown('button_press', mouse_event_fn);
rubberband.mouseup('button_release', mouse_event_fn);
// Throttle sequential mouse events to 1 every 20ms.
rubberband.mousemove('motion_notify', mouse_event_fn);
rubberband.mouseenter('figure_enter', mouse_event_fn);
rubberband.mouseleave('figure_leave', mouse_event_fn);
canvas_div.on("wheel", function (event) {
event = event.originalEvent;
event['data'] = 'scroll'
if (event.deltaY < 0) {
event.step = 1;
} else {
event.step = -1;
}
mouse_event_fn(event);
});
canvas_div.append(canvas);
canvas_div.append(rubberband);
this.rubberband = rubberband;
this.rubberband_canvas = rubberband[0];
this.rubberband_context = rubberband[0].getContext("2d");
this.rubberband_context.strokeStyle = "#000000";
this._resize_canvas = function(width, height) {
// Keep the size of the canvas, canvas container, and rubber band
// canvas in synch.
canvas_div.css('width', width)
canvas_div.css('height', height)
canvas.attr('width', width);
canvas.attr('height', height);
rubberband.attr('width', width);
rubberband.attr('height', height);
}
// Set the figure to an initial 600x600px, this will subsequently be updated
// upon first draw.
this._resize_canvas(600, 600);
// Disable right mouse context menu.
$(this.rubberband_canvas).bind("contextmenu",function(e){
return false;
});
function set_focus () {
canvas.focus();
canvas_div.focus();
}
window.setTimeout(set_focus, 100);
}
mpl.figure.prototype._init_toolbar = function() {
var fig = this;
var nav_element = $('<div/>')
nav_element.attr('style', 'width: 100%');
this.root.append(nav_element);
// Define a callback function for later on.
function toolbar_event(event) {
return fig.toolbar_button_onclick(event['data']);
}
function toolbar_mouse_event(event) {
return fig.toolbar_button_onmouseover(event['data']);
}
for(var toolbar_ind in mpl.toolbar_items) {
var name = mpl.toolbar_items[toolbar_ind][0];
var tooltip = mpl.toolbar_items[toolbar_ind][1];
var image = mpl.toolbar_items[toolbar_ind][2];
var method_name = mpl.toolbar_items[toolbar_ind][3];
if (!name) {
// put a spacer in here.
continue;
}
var button = $('<button/>');
button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +
'ui-button-icon-only');
button.attr('role', 'button');
button.attr('aria-disabled', 'false');
button.click(method_name, toolbar_event);
button.mouseover(tooltip, toolbar_mouse_event);
var icon_img = $('<span/>');
icon_img.addClass('ui-button-icon-primary ui-icon');
icon_img.addClass(image);
icon_img.addClass('ui-corner-all');
var tooltip_span = $('<span/>');
tooltip_span.addClass('ui-button-text');
tooltip_span.html(tooltip);
button.append(icon_img);
button.append(tooltip_span);
nav_element.append(button);
}
var fmt_picker_span = $('<span/>');
var fmt_picker = $('<select/>');
fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');
fmt_picker_span.append(fmt_picker);
nav_element.append(fmt_picker_span);
this.format_dropdown = fmt_picker[0];
for (var ind in mpl.extensions) {
var fmt = mpl.extensions[ind];
var option = $(
'<option/>', {selected: fmt === mpl.default_extension}).html(fmt);
fmt_picker.append(option)
}
// Add hover states to the ui-buttons
$( ".ui-button" ).hover(
function() { $(this).addClass("ui-state-hover");},
function() { $(this).removeClass("ui-state-hover");}
);
var status_bar = $('<span class="mpl-message"/>');
nav_element.append(status_bar);
this.message = status_bar[0];
}
mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {
// Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,
// which will in turn request a refresh of the image.
this.send_message('resize', {'width': x_pixels, 'height': y_pixels});
}
mpl.figure.prototype.send_message = function(type, properties) {
properties['type'] = type;
properties['figure_id'] = this.id;
this.ws.send(JSON.stringify(properties));
}
mpl.figure.prototype.send_draw_message = function() {
if (!this.waiting) {
this.waiting = true;
this.ws.send(JSON.stringify({type: "draw", figure_id: this.id}));
}
}
mpl.figure.prototype.handle_save = function(fig, msg) {
var format_dropdown = fig.format_dropdown;
var format = format_dropdown.options[format_dropdown.selectedIndex].value;
fig.ondownload(fig, format);
}
mpl.figure.prototype.handle_resize = function(fig, msg) {
var size = msg['size'];
if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {
fig._resize_canvas(size[0], size[1]);
fig.send_message("refresh", {});
};
}
mpl.figure.prototype.handle_rubberband = function(fig, msg) {
var x0 = msg['x0'];
var y0 = fig.canvas.height - msg['y0'];
var x1 = msg['x1'];
var y1 = fig.canvas.height - msg['y1'];
x0 = Math.floor(x0) + 0.5;
y0 = Math.floor(y0) + 0.5;
x1 = Math.floor(x1) + 0.5;
y1 = Math.floor(y1) + 0.5;
var min_x = Math.min(x0, x1);
var min_y = Math.min(y0, y1);
var width = Math.abs(x1 - x0);
var height = Math.abs(y1 - y0);
fig.rubberband_context.clearRect(
0, 0, fig.canvas.width, fig.canvas.height);
fig.rubberband_context.strokeRect(min_x, min_y, width, height);
}
mpl.figure.prototype.handle_figure_label = function(fig, msg) {
// Updates the figure title.
fig.header.textContent = msg['label'];
}
mpl.figure.prototype.handle_cursor = function(fig, msg) {
var cursor = msg['cursor'];
switch(cursor)
{
case 0:
cursor = 'pointer';
break;
case 1:
cursor = 'default';
break;
case 2:
cursor = 'crosshair';
break;
case 3:
cursor = 'move';
break;
}
fig.rubberband_canvas.style.cursor = cursor;
}
mpl.figure.prototype.handle_message = function(fig, msg) {
fig.message.textContent = msg['message'];
}
mpl.figure.prototype.handle_draw = function(fig, msg) {
// Request the server to send over a new figure.
fig.send_draw_message();
}
mpl.figure.prototype.handle_image_mode = function(fig, msg) {
fig.image_mode = msg['mode'];
}
mpl.figure.prototype.updated_canvas_event = function() {
// Called whenever the canvas gets updated.
this.send_message("ack", {});
}
// A function to construct a web socket function for onmessage handling.
// Called in the figure constructor.
mpl.figure.prototype._make_on_message_function = function(fig) {
return function socket_on_message(evt) {
if (evt.data instanceof Blob) {
/* FIXME: We get "Resource interpreted as Image but
* transferred with MIME type text/plain:" errors on
* Chrome. But how to set the MIME type? It doesn't seem
* to be part of the websocket stream */
evt.data.type = "image/png";
/* Free the memory for the previous frames */
if (fig.imageObj.src) {
(window.URL || window.webkitURL).revokeObjectURL(
fig.imageObj.src);
}
fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(
evt.data);
fig.updated_canvas_event();
fig.waiting = false;
return;
}
else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == "data:image/png;base64") {
fig.imageObj.src = evt.data;
fig.updated_canvas_event();
fig.waiting = false;
return;
}
var msg = JSON.parse(evt.data);
var msg_type = msg['type'];
// Call the "handle_{type}" callback, which takes
// the figure and JSON message as its only arguments.
try {
var callback = fig["handle_" + msg_type];
} catch (e) {
console.log("No handler for the '" + msg_type + "' message type: ", msg);
return;
}
if (callback) {
try {
// console.log("Handling '" + msg_type + "' message: ", msg);
callback(fig, msg);
} catch (e) {
console.log("Exception inside the 'handler_" + msg_type + "' callback:", e, e.stack, msg);
}
}
};
}
// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas
mpl.findpos = function(e) {
//this section is from http://www.quirksmode.org/js/events_properties.html
var targ;
if (!e)
e = window.event;
if (e.target)
targ = e.target;
else if (e.srcElement)
targ = e.srcElement;
if (targ.nodeType == 3) // defeat Safari bug
targ = targ.parentNode;
// jQuery normalizes the pageX and pageY
// pageX,Y are the mouse positions relative to the document
// offset() returns the position of the element relative to the document
var x = e.pageX - $(targ).offset().left;
var y = e.pageY - $(targ).offset().top;
return {"x": x, "y": y};
};
/*
* return a copy of an object with only non-object keys
* we need this to avoid circular references
* http://stackoverflow.com/a/24161582/3208463
*/
function simpleKeys (original) {
return Object.keys(original).reduce(function (obj, key) {
if (typeof original[key] !== 'object')
obj[key] = original[key]
return obj;
}, {});
}
mpl.figure.prototype.mouse_event = function(event, name) {
var canvas_pos = mpl.findpos(event)
if (name === 'button_press')
{
this.canvas.focus();
this.canvas_div.focus();
}
var x = canvas_pos.x;
var y = canvas_pos.y;
this.send_message(name, {x: x, y: y, button: event.button,
step: event.step,
guiEvent: simpleKeys(event)});
/* This prevents the web browser from automatically changing to
* the text insertion cursor when the button is pressed. We want
* to control all of the cursor setting manually through the
* 'cursor' event from matplotlib */
event.preventDefault();
return false;
}
mpl.figure.prototype._key_event_extra = function(event, name) {
// Handle any extra behaviour associated with a key event
}
mpl.figure.prototype.key_event = function(event, name) {
// Prevent repeat events
if (name == 'key_press')
{
if (event.which === this._key)
return;
else
this._key = event.which;
}
if (name == 'key_release')
this._key = null;
var value = '';
if (event.ctrlKey && event.which != 17)
value += "ctrl+";
if (event.altKey && event.which != 18)
value += "alt+";
if (event.shiftKey && event.which != 16)
value += "shift+";
value += 'k';
value += event.which.toString();
this._key_event_extra(event, name);
this.send_message(name, {key: value,
guiEvent: simpleKeys(event)});
return false;
}
mpl.figure.prototype.toolbar_button_onclick = function(name) {
if (name == 'download') {
this.handle_save(this, null);
} else {
this.send_message("toolbar_button", {name: name});
}
};
mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {
this.message.textContent = tooltip;
};
mpl.toolbar_items = [["Home", "Reset original view", "fa fa-home icon-home", "home"], ["Back", "Back to previous view", "fa fa-arrow-left icon-arrow-left", "back"], ["Forward", "Forward to next view", "fa fa-arrow-right icon-arrow-right", "forward"], ["", "", "", ""], ["Pan", "Pan axes with left mouse, zoom with right", "fa fa-arrows icon-move", "pan"], ["Zoom", "Zoom to rectangle", "fa fa-square-o icon-check-empty", "zoom"], ["", "", "", ""], ["Download", "Download plot", "fa fa-floppy-o icon-save", "download"]];
mpl.extensions = ["eps", "jpeg", "pdf", "png", "ps", "raw", "svg", "tif"];
mpl.default_extension = "png";var comm_websocket_adapter = function(comm) {
// Create a "websocket"-like object which calls the given IPython comm
// object with the appropriate methods. Currently this is a non binary
// socket, so there is still some room for performance tuning.
var ws = {};
ws.close = function() {
comm.close()
};
ws.send = function(m) {
//console.log('sending', m);
comm.send(m);
};
// Register the callback with on_msg.
comm.on_msg(function(msg) {
//console.log('receiving', msg['content']['data'], msg);
// Pass the mpl event to the overriden (by mpl) onmessage function.
ws.onmessage(msg['content']['data'])
});
return ws;
}
mpl.mpl_figure_comm = function(comm, msg) {
// This is the function which gets called when the mpl process
// starts-up an IPython Comm through the "matplotlib" channel.
var id = msg.content.data.id;
// Get hold of the div created by the display call when the Comm
// socket was opened in Python.
var element = $("#" + id);
var ws_proxy = comm_websocket_adapter(comm)
function ondownload(figure, format) {
window.open(figure.imageObj.src);
}
var fig = new mpl.figure(id, ws_proxy,
ondownload,
element.get(0));
// Call onopen now - mpl needs it, as it is assuming we've passed it a real
// web socket which is closed, not our websocket->open comm proxy.
ws_proxy.onopen();
fig.parent_element = element.get(0);
fig.cell_info = mpl.find_output_cell("<div id='" + id + "'></div>");
if (!fig.cell_info) {
console.error("Failed to find cell for figure", id, fig);
return;
}
var output_index = fig.cell_info[2]
var cell = fig.cell_info[0];
};
mpl.figure.prototype.handle_close = function(fig, msg) {
fig.root.unbind('remove')
// Update the output cell to use the data from the current canvas.
fig.push_to_output();
var dataURL = fig.canvas.toDataURL();
// Re-enable the keyboard manager in IPython - without this line, in FF,
// the notebook keyboard shortcuts fail.
IPython.keyboard_manager.enable()
$(fig.parent_element).html('<img src="' + dataURL + '">');
fig.close_ws(fig, msg);
}
mpl.figure.prototype.close_ws = function(fig, msg){
fig.send_message('closing', msg);
// fig.ws.close()
}
mpl.figure.prototype.push_to_output = function(remove_interactive) {
// Turn the data on the canvas into data in the output cell.
var dataURL = this.canvas.toDataURL();
this.cell_info[1]['text/html'] = '<img src="' + dataURL + '">';
}
mpl.figure.prototype.updated_canvas_event = function() {
// Tell IPython that the notebook contents must change.
IPython.notebook.set_dirty(true);
this.send_message("ack", {});
var fig = this;
// Wait a second, then push the new image to the DOM so
// that it is saved nicely (might be nice to debounce this).
setTimeout(function () { fig.push_to_output() }, 1000);
}
mpl.figure.prototype._init_toolbar = function() {
var fig = this;
var nav_element = $('<div/>')
nav_element.attr('style', 'width: 100%');
this.root.append(nav_element);
// Define a callback function for later on.
function toolbar_event(event) {
return fig.toolbar_button_onclick(event['data']);
}
function toolbar_mouse_event(event) {
return fig.toolbar_button_onmouseover(event['data']);
}
for(var toolbar_ind in mpl.toolbar_items){
var name = mpl.toolbar_items[toolbar_ind][0];
var tooltip = mpl.toolbar_items[toolbar_ind][1];
var image = mpl.toolbar_items[toolbar_ind][2];
var method_name = mpl.toolbar_items[toolbar_ind][3];
if (!name) { continue; };
var button = $('<button class="btn btn-default" href="#" title="' + name + '"><i class="fa ' + image + ' fa-lg"></i></button>');
button.click(method_name, toolbar_event);
button.mouseover(tooltip, toolbar_mouse_event);
nav_element.append(button);
}
// Add the status bar.
var status_bar = $('<span class="mpl-message" style="text-align:right; float: right;"/>');
nav_element.append(status_bar);
this.message = status_bar[0];
// Add the close button to the window.
var buttongrp = $('<div class="btn-group inline pull-right"></div>');
var button = $('<button class="btn btn-mini btn-primary" href="#" title="Stop Interaction"><i class="fa fa-power-off icon-remove icon-large"></i></button>');
button.click(function (evt) { fig.handle_close(fig, {}); } );
button.mouseover('Stop Interaction', toolbar_mouse_event);
buttongrp.append(button);
var titlebar = this.root.find($('.ui-dialog-titlebar'));
titlebar.prepend(buttongrp);
}
mpl.figure.prototype._root_extra_style = function(el){
var fig = this
el.on("remove", function(){
fig.close_ws(fig, {});
});
}
mpl.figure.prototype._canvas_extra_style = function(el){
// this is important to make the div 'focusable
el.attr('tabindex', 0)
// reach out to IPython and tell the keyboard manager to turn it's self
// off when our div gets focus
// location in version 3
if (IPython.notebook.keyboard_manager) {
IPython.notebook.keyboard_manager.register_events(el);
}
else {
// location in version 2
IPython.keyboard_manager.register_events(el);
}
}
mpl.figure.prototype._key_event_extra = function(event, name) {
var manager = IPython.notebook.keyboard_manager;
if (!manager)
manager = IPython.keyboard_manager;
// Check for shift+enter
if (event.shiftKey && event.which == 13) {
this.canvas_div.blur();
event.shiftKey = false;
// Send a "J" for go to next cell
event.which = 74;
event.keyCode = 74;
manager.command_mode();
manager.handle_keydown(event);
}
}
mpl.figure.prototype.handle_save = function(fig, msg) {
fig.ondownload(fig, null);
}
mpl.find_output_cell = function(html_output) {
// Return the cell and output element which can be found *uniquely* in the notebook.
// Note - this is a bit hacky, but it is done because the "notebook_saving.Notebook"
// IPython event is triggered only after the cells have been serialised, which for
// our purposes (turning an active figure into a static one), is too late.
var cells = IPython.notebook.get_cells();
var ncells = cells.length;
for (var i=0; i<ncells; i++) {
var cell = cells[i];
if (cell.cell_type === 'code'){
for (var j=0; j<cell.output_area.outputs.length; j++) {
var data = cell.output_area.outputs[j];
if (data.data) {
// IPython >= 3 moved mimebundle to data attribute of output
data = data.data;
}
if (data['text/html'] == html_output) {
return [cell, data, j];
}
}
}
}
}
// Register the function which deals with the matplotlib target/channel.
// The kernel may be null if the page has been refreshed.
if (IPython.notebook.kernel != null) {
IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);
}
</script>
</div>
</div>
<div class="output_area"><div class="prompt"></div>
<div class="output_html rendered_html output_subarea ">
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">
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<div class="output_area"><div class="prompt output_prompt">Out[12]:</div>
<div class="output_text output_subarea output_execute_result">
<pre>[<matplotlib.lines.Line2D at 0x10d8c5f28>]</pre>
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<div class="prompt input_prompt">In [22]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pyplot</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">27</span><span class="p">,</span> <span class="mi">64</span><span class="p">],</span> <span class="s1">'bo'</span><span class="p">)</span>
</pre></div>
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