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".. _LinearThermoelasticity:"
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"# Linear thermoelasticity (weak coupling)\n",
"\n",
"## Introduction\n",
"\n",
"In this tour, we will solve a linear thermoelastic problem. In permanent regime, the temperature field is uncoupled from the mechanical fields whereas the latter depend on the temperature due to presence of thermal strains in the thermoelastic constitutive relation. This situation can be described as *weak* thermomechanical coupling. \n",
"*Full* thermomechanical coupling for a transient evolution problem is treated [in this tour](thermoelasticity_transient.ipynb).\n",
"\n",
"In the present setting, the temperature field can be either given as a `Constant` or an `Expression` throughout the domain or obtained as the solution of a steady-state heat (Poisson) equation. This last case will be implemented in this tour.\n",
"\n",
"## Problem position\n",
"\n",
"We consider the case of a rectangular 2D domain of dimensions $L\\times H$ fully clamped on both lateral sides and subjected to a self-weight loading. The bottom side is subjected to a uniform temperature increase of $\\Delta T = +50^{\\circ}C$ while the top and lateral boundaries remain at the initial temperature $T_0$. The geometry and boundary regions are first defined."
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"from dolfin import *\n",
"from mshr import *\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib notebook\n",
"\n",
"L, H = 5, 0.3\n",
"mesh = RectangleMesh(Point(0., 0.), Point(L, H), 100, 10, \"crossed\")\n",
"\n",
"def lateral_sides(x, on_boundary):\n",
" return (near(x[0], 0) or near(x[0], L)) and on_boundary\n",
"def bottom(x, on_boundary):\n",
" return near(x[1], 0) and on_boundary\n",
"def top(x, on_boundary):\n",
" return near(x[1], H) and on_boundary"
]
},
{
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"Because of the weak coupling discussed before, the thermal and mechanical problem can be solved separately. As a result, we don't need to resort to Mixed FunctionSpaces but can just define separately both problems.\n",
"\n",
"## Resolution of the thermal problem\n",
"\n",
"The temperature is solution to the following equation $\\text{div}(k\\nabla T) = 0$ where $k$ is the thermal conductivity (here we have no heat source). Since $k$ is assumed to be homogeneous, it will not influence the solution. We therefore obtain a standard Poisson equation without forcing terms. Its formulation and resolution in FEniCS is quite standard with the temperature variation $\\Delta T$ as the main unknown.\n",
"\n",
"> **Note**: We needed to define the linear form `LT` in order to use the standard `solve(aT == LT, T, bcT)` syntax for linear problems. We could also have equivalently defined the residual `res = dot(grad(T), grad(T_))*dx` and used the nonlinear-like syntax `solve(res == 0, T, bcT)`."
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{
"name": "stdout",
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"text": [
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
]
},
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"\n",
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"\n",
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"\n",
" value += 'k';\n",
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"\n",
" this._key_event_extra(event, name);\n",
"\n",
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" return false;\n",
"}\n",
"\n",
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" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"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\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('![](\"')
');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('');\n",
" var button = $('');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
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""
]
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\")
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"VT = FunctionSpace(mesh, \"CG\", 1)\n",
"T_, dT = TestFunction(VT), TrialFunction(VT)\n",
"Delta_T = Function(VT, name=\"Temperature increase\")\n",
"aT = dot(grad(dT), grad(T_))*dx\n",
"LT = Constant(0)*T_*dx\n",
"\n",
"bcT = [DirichletBC(VT, Constant(50.), bottom), \n",
" DirichletBC(VT, Constant(0.), top),\n",
" DirichletBC(VT, Constant(0.), lateral_sides)]\n",
"solve(aT == LT, Delta_T, bcT)\n",
"plt.figure()\n",
"p = plot(Delta_T, mode=\"contour\")\n",
"plt.colorbar(p)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mecanical problem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The linearized thermoelastic constitutive equation is given by:\n",
"\n",
"$$\\begin{equation}\n",
"\\boldsymbol{\\sigma} = \\mathbb{C}:(\\boldsymbol{\\varepsilon}-\\alpha(T-T_0)\\boldsymbol{1}) = \\lambda\\text{tr}(\\boldsymbol{\\varepsilon})\\boldsymbol{1}+2\\mu\\boldsymbol{\\varepsilon} -\\alpha(3\\lambda+2\\mu)(T-T_0)\\boldsymbol{1} \n",
"\\end{equation}$$\n",
"\n",
"where $\\lambda,\\mu$ are the Lamé parameters and $\\alpha$ is the thermal expansion coefficient. As regards the current problem, the last term corresponding to the thermal strains is completely known. The following formulation can thus be generalized to any kind of known initial stress or eigenstrain state such as pre-stress or phase changes."
]
},
{
"cell_type": "raw",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
"The weak formulation for the mechanical problem builds upon the presentation of the :ref:`LinearElasticity2D` tour. \n",
"The main difference lies in the presence of the temperature term in the constitutive relation which introduces a linear term with respect to the TestFunction ``u_`` when writing the work of internal forces ``inner(sigma(du, Delta_T), eps(u_))*dx``. As a result, the bilinear form is extracted using the left-hand side ``lhs`` function whereas the thermal strain term, acting as a loading term, is extracted using the right-hand side ``rhs`` function and added to the work of external forces when defining the linear form ``LM``."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"E = Constant(50e3)\n",
"nu = Constant(0.2)\n",
"mu = E/2/(1+nu)\n",
"lmbda = E*nu/(1+nu)/(1-2*nu)\n",
"alpha = Constant(1e-5)\n",
"\n",
"f = Constant((0, 0))\n",
"\n",
"def eps(v):\n",
" return sym(grad(v))\n",
"def sigma(v, dT):\n",
" return (lmbda*tr(eps(v))- alpha*(3*lmbda+2*mu)*dT)*Identity(2) + 2.0*mu*eps(v)\n",
"\n",
"Vu = VectorFunctionSpace(mesh, 'CG', 2)\n",
"du = TrialFunction(Vu)\n",
"u_ = TestFunction(Vu)\n",
"Wint = inner(sigma(du, Delta_T), eps(u_))*dx\n",
"aM = lhs(Wint)\n",
"LM = rhs(Wint) + inner(f, u_)*dx\n",
"\n",
"bcu = DirichletBC(Vu, Constant((0., 0.)), lateral_sides)\n",
"\n",
"u = Function(Vu, name=\"Displacement\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, the self-weight loading is deactivated, only thermal stresses are computed."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
]
},
{
"data": {
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" 'Firefox 4 and 5 are also supported but you ' +\n",
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" \"This browser does not support binary websocket messages. \" +\n",
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"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
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" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
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"\n",
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"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
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" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('');\n",
"\n",
" var fmt_picker = $('');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"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\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('');\n",
" var button = $('');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
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\")
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
]
},
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"window.mpl = {};\n",
"\n",
"\n",
"mpl.get_websocket_type = function() {\n",
" if (typeof(WebSocket) !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert('Your browser does not have WebSocket support.' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.');\n",
" };\n",
"}\n",
"\n",
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = (this.ws.binaryType != undefined);\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById(\"mpl-warnings\");\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent = (\n",
" \"This browser does not support binary websocket messages. \" +\n",
" \"Performance may be slow.\");\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = $('');\n",
" this._root_extra_style(this.root)\n",
" this.root.attr('style', 'display: inline-block');\n",
"\n",
" $(parent_element).append(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
" fig.send_message(\"send_image_mode\", {});\n",
" if (mpl.ratio != 1) {\n",
" fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
" }\n",
" fig.send_message(\"refresh\", {});\n",
" }\n",
"\n",
" this.imageObj.onload = function() {\n",
" if (fig.image_mode == 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function() {\n",
" fig.ws.close();\n",
" }\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"}\n",
"\n",
"mpl.figure.prototype._init_header = function() {\n",
" var titlebar = $(\n",
" '');\n",
" var titletext = $(\n",
" '');\n",
" titlebar.append(titletext)\n",
" this.root.append(titlebar);\n",
" this.header = titletext[0];\n",
"}\n",
"\n",
"\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._init_canvas = function() {\n",
" var fig = this;\n",
"\n",
" var canvas_div = $('');\n",
"\n",
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
"\n",
" function canvas_keyboard_event(event) {\n",
" return fig.key_event(event, event['data']);\n",
" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
" this.canvas_div = canvas_div\n",
" this._canvas_extra_style(canvas_div)\n",
" this.root.append(canvas_div);\n",
"\n",
" var canvas = $('');\n",
" canvas.addClass('mpl-canvas');\n",
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
"\n",
" this.canvas = canvas[0];\n",
" this.context = canvas[0].getContext(\"2d\");\n",
"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
"\tthis.context.oBackingStorePixelRatio ||\n",
"\tthis.context.backingStorePixelRatio || 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband = $('');\n",
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
"\n",
" var pass_mouse_events = true;\n",
"\n",
" canvas_div.resizable({\n",
" start: function(event, ui) {\n",
" pass_mouse_events = false;\n",
" },\n",
" resize: function(event, ui) {\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" stop: function(event, ui) {\n",
" pass_mouse_events = true;\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" });\n",
"\n",
" function mouse_event_fn(event) {\n",
" if (pass_mouse_events)\n",
" return fig.mouse_event(event, event['data']);\n",
" }\n",
"\n",
" rubberband.mousedown('button_press', mouse_event_fn);\n",
" rubberband.mouseup('button_release', mouse_event_fn);\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
"\n",
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('');\n",
"\n",
" var fmt_picker = $('');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"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\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('');\n",
" var button = $('');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\")
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
]
}
],
"source": [
"solve(aM == LM, u, bcu)\n",
"\n",
"plt.figure()\n",
"p = plot(1e3*u[1],title=\"Vertical displacement [mm]\")\n",
"plt.colorbar(p)\n",
"plt.show()\n",
"plt.figure()\n",
"p = plot(sigma(u, Delta_T)[0, 0],title=\"Horizontal stress [MPa]\")\n",
"plt.colorbar(p)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now take into account the self-weight."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"window.mpl = {};\n",
"\n",
"\n",
"mpl.get_websocket_type = function() {\n",
" if (typeof(WebSocket) !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert('Your browser does not have WebSocket support.' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.');\n",
" };\n",
"}\n",
"\n",
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = (this.ws.binaryType != undefined);\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById(\"mpl-warnings\");\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent = (\n",
" \"This browser does not support binary websocket messages. \" +\n",
" \"Performance may be slow.\");\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = $('');\n",
" this._root_extra_style(this.root)\n",
" this.root.attr('style', 'display: inline-block');\n",
"\n",
" $(parent_element).append(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
" fig.send_message(\"send_image_mode\", {});\n",
" if (mpl.ratio != 1) {\n",
" fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
" }\n",
" fig.send_message(\"refresh\", {});\n",
" }\n",
"\n",
" this.imageObj.onload = function() {\n",
" if (fig.image_mode == 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function() {\n",
" fig.ws.close();\n",
" }\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"}\n",
"\n",
"mpl.figure.prototype._init_header = function() {\n",
" var titlebar = $(\n",
" '');\n",
" var titletext = $(\n",
" '');\n",
" titlebar.append(titletext)\n",
" this.root.append(titlebar);\n",
" this.header = titletext[0];\n",
"}\n",
"\n",
"\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._init_canvas = function() {\n",
" var fig = this;\n",
"\n",
" var canvas_div = $('');\n",
"\n",
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
"\n",
" function canvas_keyboard_event(event) {\n",
" return fig.key_event(event, event['data']);\n",
" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
" this.canvas_div = canvas_div\n",
" this._canvas_extra_style(canvas_div)\n",
" this.root.append(canvas_div);\n",
"\n",
" var canvas = $('');\n",
" canvas.addClass('mpl-canvas');\n",
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
"\n",
" this.canvas = canvas[0];\n",
" this.context = canvas[0].getContext(\"2d\");\n",
"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
"\tthis.context.oBackingStorePixelRatio ||\n",
"\tthis.context.backingStorePixelRatio || 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband = $('');\n",
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
"\n",
" var pass_mouse_events = true;\n",
"\n",
" canvas_div.resizable({\n",
" start: function(event, ui) {\n",
" pass_mouse_events = false;\n",
" },\n",
" resize: function(event, ui) {\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" stop: function(event, ui) {\n",
" pass_mouse_events = true;\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" });\n",
"\n",
" function mouse_event_fn(event) {\n",
" if (pass_mouse_events)\n",
" return fig.mouse_event(event, event['data']);\n",
" }\n",
"\n",
" rubberband.mousedown('button_press', mouse_event_fn);\n",
" rubberband.mouseup('button_release', mouse_event_fn);\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
"\n",
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('');\n",
"\n",
" var fmt_picker = $('');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"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\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('');\n",
" var button = $('');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
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\")
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"window.mpl = {};\n",
"\n",
"\n",
"mpl.get_websocket_type = function() {\n",
" if (typeof(WebSocket) !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert('Your browser does not have WebSocket support.' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.');\n",
" };\n",
"}\n",
"\n",
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = (this.ws.binaryType != undefined);\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById(\"mpl-warnings\");\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent = (\n",
" \"This browser does not support binary websocket messages. \" +\n",
" \"Performance may be slow.\");\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = $('');\n",
" this._root_extra_style(this.root)\n",
" this.root.attr('style', 'display: inline-block');\n",
"\n",
" $(parent_element).append(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
" fig.send_message(\"send_image_mode\", {});\n",
" if (mpl.ratio != 1) {\n",
" fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
" }\n",
" fig.send_message(\"refresh\", {});\n",
" }\n",
"\n",
" this.imageObj.onload = function() {\n",
" if (fig.image_mode == 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function() {\n",
" fig.ws.close();\n",
" }\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"}\n",
"\n",
"mpl.figure.prototype._init_header = function() {\n",
" var titlebar = $(\n",
" '');\n",
" var titletext = $(\n",
" '');\n",
" titlebar.append(titletext)\n",
" this.root.append(titlebar);\n",
" this.header = titletext[0];\n",
"}\n",
"\n",
"\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._init_canvas = function() {\n",
" var fig = this;\n",
"\n",
" var canvas_div = $('');\n",
"\n",
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
"\n",
" function canvas_keyboard_event(event) {\n",
" return fig.key_event(event, event['data']);\n",
" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
" this.canvas_div = canvas_div\n",
" this._canvas_extra_style(canvas_div)\n",
" this.root.append(canvas_div);\n",
"\n",
" var canvas = $('');\n",
" canvas.addClass('mpl-canvas');\n",
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
"\n",
" this.canvas = canvas[0];\n",
" this.context = canvas[0].getContext(\"2d\");\n",
"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
"\tthis.context.oBackingStorePixelRatio ||\n",
"\tthis.context.backingStorePixelRatio || 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband = $('');\n",
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
"\n",
" var pass_mouse_events = true;\n",
"\n",
" canvas_div.resizable({\n",
" start: function(event, ui) {\n",
" pass_mouse_events = false;\n",
" },\n",
" resize: function(event, ui) {\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" stop: function(event, ui) {\n",
" pass_mouse_events = true;\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" });\n",
"\n",
" function mouse_event_fn(event) {\n",
" if (pass_mouse_events)\n",
" return fig.mouse_event(event, event['data']);\n",
" }\n",
"\n",
" rubberband.mousedown('button_press', mouse_event_fn);\n",
" rubberband.mouseup('button_release', mouse_event_fn);\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
"\n",
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('');\n",
"\n",
" var fmt_picker = $('');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"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\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('');\n",
" var button = $('');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
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\")
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rho_g = 2400*9.81e-6\n",
"f.assign(Constant((0., -rho_g)))\n",
"solve(aM == LM, u, bcu)\n",
"\n",
"plt.figure()\n",
"p = plot(1e3*u[1],title=\"Vertical displacement [mm]\")\n",
"plt.colorbar(p)\n",
"plt.show()\n",
"plt.figure()\n",
"p = plot(sigma(u, Delta_T)[0, 0],title=\"Horizontal stress [MPa]\")\n",
"plt.colorbar(p)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}