diff --git a/Demos/.gitignore b/Demos/.gitignore
new file mode 100644
index 0000000000000000000000000000000000000000..dedbf0ca59ce466768af1cef7c14616f3d0b275e
--- /dev/null
+++ b/Demos/.gitignore
@@ -0,0 +1,2 @@
+.ipynb_checkpoints
+dtumathtools/
\ No newline at end of file
diff --git a/Demos/Demo-E-Uge-10-LilleDag.ipynb b/Demos/Demo-E-Uge-10-LilleDag.ipynb
index 59434ba3875b1a41a83d5ed2406ed86fa447fdd7..8a2349e757ee016d962860674fcb2a20557e9497 100644
--- a/Demos/Demo-E-Uge-10-LilleDag.ipynb
+++ b/Demos/Demo-E-Uge-10-LilleDag.ipynb
@@ -850,7 +850,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-11-LilleDag.ipynb b/Demos/Demo-E-Uge-11-LilleDag.ipynb
index 85d2267fff483b4211484e4d210670df68227a43..e630884459cd680203dadeb1245bdd70b6a154f6 100644
--- a/Demos/Demo-E-Uge-11-LilleDag.ipynb
+++ b/Demos/Demo-E-Uge-11-LilleDag.ipynb
@@ -327,7 +327,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-11-Linear-Transformation-Symmetrisk-Matrix.ipynb b/Demos/Demo-E-Uge-11-Linear-Transformation-Symmetrisk-Matrix.ipynb
index 46f9aa87e2763943fa701c748bc5690c774b1c76..d3e8fca75204df5e336155d2eedd1967e08c180d 100644
--- a/Demos/Demo-E-Uge-11-Linear-Transformation-Symmetrisk-Matrix.ipynb
+++ b/Demos/Demo-E-Uge-11-Linear-Transformation-Symmetrisk-Matrix.ipynb
@@ -289,7 +289,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-11-StoreDag.ipynb b/Demos/Demo-E-Uge-11-StoreDag.ipynb
index aeefe886c1041fc5dfdb5489ae59631659f46a96..12b42c12b59e1ef649affa571453a2878e9bd8b8 100644
--- a/Demos/Demo-E-Uge-11-StoreDag.ipynb
+++ b/Demos/Demo-E-Uge-11-StoreDag.ipynb
@@ -544,9 +544,9 @@
],
"metadata": {
"kernelspec": {
- "display_name": "mat1-pilot",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
- "name": "mat1-pilot"
+ "name": "python3"
},
"language_info": {
"codemirror_mode": {
diff --git a/Demos/Demo-E-Uge-13-Hookes-lov.ipynb b/Demos/Demo-E-Uge-13-Hookes-lov.ipynb
index 0c8c9e994e2b9f70564647f87a9a97ee60966d10..727e80e810a50bccdec7d05e82ad9127bb106263 100644
--- a/Demos/Demo-E-Uge-13-Hookes-lov.ipynb
+++ b/Demos/Demo-E-Uge-13-Hookes-lov.ipynb
@@ -297,7 +297,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-13-StoreDag.ipynb b/Demos/Demo-E-Uge-13-StoreDag.ipynb
index 3353e3d6391d17ae3952b70f8db242f2a5f2f133..313ec855055d41c7f215af292911c7c6e7137f5e 100644
--- a/Demos/Demo-E-Uge-13-StoreDag.ipynb
+++ b/Demos/Demo-E-Uge-13-StoreDag.ipynb
@@ -211,7 +211,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-7-StoreDag.ipynb b/Demos/Demo-E-Uge-7-StoreDag.ipynb
index 8e7d2f7e73d3641be9f7f089e3b4e5a5154f4435..ec47d8d4146f27e66e77e7d32104f9f957d74844 100644
--- a/Demos/Demo-E-Uge-7-StoreDag.ipynb
+++ b/Demos/Demo-E-Uge-7-StoreDag.ipynb
@@ -314,9 +314,9 @@
],
"metadata": {
"kernelspec": {
- "display_name": "mat1-pilot",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
- "name": "mat1-pilot"
+ "name": "python3"
},
"language_info": {
"codemirror_mode": {
diff --git a/Demos/Demo-E-Uge-8-LilleDag.ipynb b/Demos/Demo-E-Uge-8-LilleDag.ipynb
index 27eaa4e8c141e54bf3b4f6923b455d4447e9d87a..2dcb30298cd13ded71a99f22c8d5d18e28a396c5 100644
--- a/Demos/Demo-E-Uge-8-LilleDag.ipynb
+++ b/Demos/Demo-E-Uge-8-LilleDag.ipynb
@@ -356,7 +356,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-E-Uge-8-StoreDag.ipynb b/Demos/Demo-E-Uge-8-StoreDag.ipynb
index 9a570cd31d176bb3b28df0091214191054eda545..acf944b5f99a2f17ef7be9c74a769f9b0de440d1 100644
--- a/Demos/Demo-E-Uge-8-StoreDag.ipynb
+++ b/Demos/Demo-E-Uge-8-StoreDag.ipynb
@@ -598,9 +598,9 @@
],
"metadata": {
"kernelspec": {
- "display_name": "mat1-pilot",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
- "name": "mat1-pilot"
+ "name": "python3"
},
"language_info": {
"codemirror_mode": {
diff --git a/Demos/Demo-E-Uge-9-StoreDag.ipynb b/Demos/Demo-E-Uge-9-StoreDag.ipynb
index 41a992250105031f0d24d72dd445dba1e4974c02..d7d848fafe531968faf68026ab86ec7c7f40d78b 100644
--- a/Demos/Demo-E-Uge-9-StoreDag.ipynb
+++ b/Demos/Demo-E-Uge-9-StoreDag.ipynb
@@ -199,7 +199,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3.10.6 ('mat1-pilot': venv)",
+ "display_name": "Python 3.10.4 64-bit",
"language": "python",
"name": "python3"
},
diff --git a/Demos/Demo-F-Uge-1-LilleDag.ipynb b/Demos/Demo-F-Uge-1-LilleDag.ipynb
index 4c15b2a0cf40781c55e18acbc9efafb3034f489d..9b0ad5f21ee64840c3adc30879201c913f9c8efe 100644
--- a/Demos/Demo-F-Uge-1-LilleDag.ipynb
+++ b/Demos/Demo-F-Uge-1-LilleDag.ipynb
@@ -690,11 +690,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -707,7 +702,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-1-StoreDag.ipynb b/Demos/Demo-F-Uge-1-StoreDag.ipynb
index 7fb91deb4abe4a37c90b7bee04dd5443864a7574..48135589ce48ae64051dcf5d362a075946f2cd04 100644
--- a/Demos/Demo-F-Uge-1-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-1-StoreDag.ipynb
@@ -516,11 +516,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -533,7 +528,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-1-StoreDag_minversion.ipynb b/Demos/Demo-F-Uge-1-StoreDag_minversion.ipynb
index 6c6d93a149fac362cb67eae61086da4356f0593b..24ffbf7b3939ba0311891714e174c1bf1c46dd51 100644
--- a/Demos/Demo-F-Uge-1-StoreDag_minversion.ipynb
+++ b/Demos/Demo-F-Uge-1-StoreDag_minversion.ipynb
@@ -210,7 +210,962 @@
"outputs": [
{
"data": {
- "application/javascript": "/* Put everything inside the global mpl namespace */\n/* global mpl */\nwindow.mpl = {};\n\nmpl.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(\n '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\nmpl.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 = document.createElement('div');\n this.root.setAttribute('style', 'display: inline-block');\n this._root_extra_style(this.root);\n\n parent_element.appendChild(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 (fig.ratio !== 1) {\n fig.send_message('set_device_pixel_ratio', {\n device_pixel_ratio: fig.ratio,\n });\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\nmpl.figure.prototype._init_header = function () {\n var titlebar = document.createElement('div');\n titlebar.classList =\n 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n var titletext = document.createElement('div');\n titletext.classList = 'ui-dialog-title';\n titletext.setAttribute(\n 'style',\n 'width: 100%; text-align: center; padding: 3px;'\n );\n titlebar.appendChild(titletext);\n this.root.appendChild(titlebar);\n this.header = titletext;\n};\n\nmpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n\nmpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n\nmpl.figure.prototype._init_canvas = function () {\n var fig = this;\n\n var canvas_div = (this.canvas_div = document.createElement('div'));\n canvas_div.setAttribute(\n 'style',\n 'border: 1px solid #ddd;' +\n 'box-sizing: content-box;' +\n 'clear: both;' +\n 'min-height: 1px;' +\n 'min-width: 1px;' +\n 'outline: 0;' +\n 'overflow: hidden;' +\n 'position: relative;' +\n 'resize: both;'\n );\n\n function on_keyboard_event_closure(name) {\n return function (event) {\n return fig.key_event(event, name);\n };\n }\n\n canvas_div.addEventListener(\n 'keydown',\n on_keyboard_event_closure('key_press')\n );\n canvas_div.addEventListener(\n 'keyup',\n on_keyboard_event_closure('key_release')\n );\n\n this._canvas_extra_style(canvas_div);\n this.root.appendChild(canvas_div);\n\n var canvas = (this.canvas = document.createElement('canvas'));\n canvas.classList.add('mpl-canvas');\n canvas.setAttribute('style', 'box-sizing: content-box;');\n\n this.context = canvas.getContext('2d');\n\n var backingStore =\n this.context.backingStorePixelRatio ||\n this.context.webkitBackingStorePixelRatio ||\n this.context.mozBackingStorePixelRatio ||\n this.context.msBackingStorePixelRatio ||\n this.context.oBackingStorePixelRatio ||\n this.context.backingStorePixelRatio ||\n 1;\n\n this.ratio = (window.devicePixelRatio || 1) / backingStore;\n\n var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n 'canvas'\n ));\n rubberband_canvas.setAttribute(\n 'style',\n 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n );\n\n // Apply a ponyfill if ResizeObserver is not implemented by browser.\n if (this.ResizeObserver === undefined) {\n if (window.ResizeObserver !== undefined) {\n this.ResizeObserver = window.ResizeObserver;\n } else {\n var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n this.ResizeObserver = obs.ResizeObserver;\n }\n }\n\n this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n var nentries = entries.length;\n for (var i = 0; i < nentries; i++) {\n var entry = entries[i];\n var width, height;\n if (entry.contentBoxSize) {\n if (entry.contentBoxSize instanceof Array) {\n // Chrome 84 implements new version of spec.\n width = entry.contentBoxSize[0].inlineSize;\n height = entry.contentBoxSize[0].blockSize;\n } else {\n // Firefox implements old version of spec.\n width = entry.contentBoxSize.inlineSize;\n height = entry.contentBoxSize.blockSize;\n }\n } else {\n // Chrome <84 implements even older version of spec.\n width = entry.contentRect.width;\n height = entry.contentRect.height;\n }\n\n // Keep the size of the canvas and rubber band canvas in sync with\n // the canvas container.\n if (entry.devicePixelContentBoxSize) {\n // Chrome 84 implements new version of spec.\n canvas.setAttribute(\n 'width',\n entry.devicePixelContentBoxSize[0].inlineSize\n );\n canvas.setAttribute(\n 'height',\n entry.devicePixelContentBoxSize[0].blockSize\n );\n } else {\n canvas.setAttribute('width', width * fig.ratio);\n canvas.setAttribute('height', height * fig.ratio);\n }\n canvas.setAttribute(\n 'style',\n 'width: ' + width + 'px; height: ' + height + 'px;'\n );\n\n rubberband_canvas.setAttribute('width', width);\n rubberband_canvas.setAttribute('height', height);\n\n // And update the size in Python. We ignore the initial 0/0 size\n // that occurs as the element is placed into the DOM, which should\n // otherwise not happen due to the minimum size styling.\n if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n fig.request_resize(width, height);\n }\n }\n });\n this.resizeObserverInstance.observe(canvas_div);\n\n function on_mouse_event_closure(name) {\n return function (event) {\n return fig.mouse_event(event, name);\n };\n }\n\n rubberband_canvas.addEventListener(\n 'mousedown',\n on_mouse_event_closure('button_press')\n );\n rubberband_canvas.addEventListener(\n 'mouseup',\n on_mouse_event_closure('button_release')\n );\n rubberband_canvas.addEventListener(\n 'dblclick',\n on_mouse_event_closure('dblclick')\n );\n // Throttle sequential mouse events to 1 every 20ms.\n rubberband_canvas.addEventListener(\n 'mousemove',\n on_mouse_event_closure('motion_notify')\n );\n\n rubberband_canvas.addEventListener(\n 'mouseenter',\n on_mouse_event_closure('figure_enter')\n );\n rubberband_canvas.addEventListener(\n 'mouseleave',\n on_mouse_event_closure('figure_leave')\n );\n\n canvas_div.addEventListener('wheel', function (event) {\n if (event.deltaY < 0) {\n event.step = 1;\n } else {\n event.step = -1;\n }\n on_mouse_event_closure('scroll')(event);\n });\n\n canvas_div.appendChild(canvas);\n canvas_div.appendChild(rubberband_canvas);\n\n this.rubberband_context = rubberband_canvas.getContext('2d');\n this.rubberband_context.strokeStyle = '#000000';\n\n this._resize_canvas = function (width, height, forward) {\n if (forward) {\n canvas_div.style.width = width + 'px';\n canvas_div.style.height = height + 'px';\n }\n };\n\n // Disable right mouse context menu.\n this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n event.preventDefault();\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\nmpl.figure.prototype._init_toolbar = function () {\n var fig = this;\n\n var toolbar = document.createElement('div');\n toolbar.classList = 'mpl-toolbar';\n this.root.appendChild(toolbar);\n\n function on_click_closure(name) {\n return function (_event) {\n return fig.toolbar_button_onclick(name);\n };\n }\n\n function on_mouseover_closure(tooltip) {\n return function (event) {\n if (!event.currentTarget.disabled) {\n return fig.toolbar_button_onmouseover(tooltip);\n }\n };\n }\n\n fig.buttons = {};\n var buttonGroup = document.createElement('div');\n buttonGroup.classList = 'mpl-button-group';\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 /* Instead of a spacer, we start a new button group. */\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n buttonGroup = document.createElement('div');\n buttonGroup.classList = 'mpl-button-group';\n continue;\n }\n\n var button = (fig.buttons[name] = document.createElement('button'));\n button.classList = 'mpl-widget';\n button.setAttribute('role', 'button');\n button.setAttribute('aria-disabled', 'false');\n button.addEventListener('click', on_click_closure(method_name));\n button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n\n var icon_img = document.createElement('img');\n icon_img.src = '_images/' + image + '.png';\n icon_img.srcset = '_images/' + image + '_large.png 2x';\n icon_img.alt = tooltip;\n button.appendChild(icon_img);\n\n buttonGroup.appendChild(button);\n }\n\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n\n var fmt_picker = document.createElement('select');\n fmt_picker.classList = 'mpl-widget';\n toolbar.appendChild(fmt_picker);\n this.format_dropdown = fmt_picker;\n\n for (var ind in mpl.extensions) {\n var fmt = mpl.extensions[ind];\n var option = document.createElement('option');\n option.selected = fmt === mpl.default_extension;\n option.innerHTML = fmt;\n fmt_picker.appendChild(option);\n }\n\n var status_bar = document.createElement('span');\n status_bar.classList = 'mpl-message';\n toolbar.appendChild(status_bar);\n this.message = status_bar;\n};\n\nmpl.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\nmpl.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\nmpl.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\nmpl.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\nmpl.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], msg['forward']);\n fig.send_message('refresh', {});\n }\n};\n\nmpl.figure.prototype.handle_rubberband = function (fig, msg) {\n var x0 = msg['x0'] / fig.ratio;\n var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n var x1 = msg['x1'] / fig.ratio;\n var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n 0,\n fig.canvas.width / fig.ratio,\n fig.canvas.height / fig.ratio\n );\n\n fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n};\n\nmpl.figure.prototype.handle_figure_label = function (fig, msg) {\n // Updates the figure title.\n fig.header.textContent = msg['label'];\n};\n\nmpl.figure.prototype.handle_cursor = function (fig, msg) {\n fig.rubberband_canvas.style.cursor = msg['cursor'];\n};\n\nmpl.figure.prototype.handle_message = function (fig, msg) {\n fig.message.textContent = msg['message'];\n};\n\nmpl.figure.prototype.handle_draw = function (fig, _msg) {\n // Request the server to send over a new figure.\n fig.send_draw_message();\n};\n\nmpl.figure.prototype.handle_image_mode = function (fig, msg) {\n fig.image_mode = msg['mode'];\n};\n\nmpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n for (var key in msg) {\n if (!(key in fig.buttons)) {\n continue;\n }\n fig.buttons[key].disabled = !msg[key];\n fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n }\n};\n\nmpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n if (msg['mode'] === 'PAN') {\n fig.buttons['Pan'].classList.add('active');\n fig.buttons['Zoom'].classList.remove('active');\n } else if (msg['mode'] === 'ZOOM') {\n fig.buttons['Pan'].classList.remove('active');\n fig.buttons['Zoom'].classList.add('active');\n } else {\n fig.buttons['Pan'].classList.remove('active');\n fig.buttons['Zoom'].classList.remove('active');\n }\n};\n\nmpl.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.\nmpl.figure.prototype._make_on_message_function = function (fig) {\n return function socket_on_message(evt) {\n if (evt.data instanceof Blob) {\n var img = evt.data;\n if (img.type !== 'image/png') {\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 img.type = 'image/png';\n }\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\n fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n img\n );\n fig.updated_canvas_event();\n fig.waiting = false;\n return;\n } else if (\n typeof evt.data === 'string' &&\n evt.data.slice(0, 21) === 'data:image/png;base64'\n ) {\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(\n \"No handler for the '\" + msg_type + \"' message type: \",\n msg\n );\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(\n \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n e,\n e.stack,\n msg\n );\n }\n }\n };\n};\n\n// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\nmpl.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 }\n if (e.target) {\n targ = e.target;\n } else if (e.srcElement) {\n targ = e.srcElement;\n }\n if (targ.nodeType === 3) {\n // defeat Safari bug\n targ = targ.parentNode;\n }\n\n // pageX,Y are the mouse positions relative to the document\n var boundingRect = targ.getBoundingClientRect();\n var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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 * https://stackoverflow.com/a/24161582/3208463\n */\nfunction simpleKeys(original) {\n return Object.keys(original).reduce(function (obj, key) {\n if (typeof original[key] !== 'object') {\n obj[key] = original[key];\n }\n return obj;\n }, {});\n}\n\nmpl.figure.prototype.mouse_event = function (event, name) {\n var canvas_pos = mpl.findpos(event);\n\n if (name === 'button_press') {\n this.canvas.focus();\n this.canvas_div.focus();\n }\n\n var x = canvas_pos.x * this.ratio;\n var y = canvas_pos.y * this.ratio;\n\n this.send_message(name, {\n x: x,\n y: y,\n button: event.button,\n step: event.step,\n guiEvent: simpleKeys(event),\n });\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\nmpl.figure.prototype._key_event_extra = function (_event, _name) {\n // Handle any extra behaviour associated with a key event\n};\n\nmpl.figure.prototype.key_event = function (event, name) {\n // Prevent repeat events\n if (name === 'key_press') {\n if (event.key === this._key) {\n return;\n } else {\n this._key = event.key;\n }\n }\n if (name === 'key_release') {\n this._key = null;\n }\n\n var value = '';\n if (event.ctrlKey && event.key !== 'Control') {\n value += 'ctrl+';\n }\n else if (event.altKey && event.key !== 'Alt') {\n value += 'alt+';\n }\n else if (event.shiftKey && event.key !== 'Shift') {\n value += 'shift+';\n }\n\n value += 'k' + event.key;\n\n this._key_event_extra(event, name);\n\n this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n return false;\n};\n\nmpl.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\nmpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n this.message.textContent = tooltip;\n};\n\n///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n// prettier-ignore\nvar _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\nmpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n\nmpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n\nmpl.default_extension = \"png\";/* global mpl */\n\nvar 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.binaryType = comm.kernel.ws.binaryType;\n ws.readyState = comm.kernel.ws.readyState;\n function updateReadyState(_event) {\n if (comm.kernel.ws) {\n ws.readyState = comm.kernel.ws.readyState;\n } else {\n ws.readyState = 3; // Closed state.\n }\n }\n comm.kernel.ws.addEventListener('open', updateReadyState);\n comm.kernel.ws.addEventListener('close', updateReadyState);\n comm.kernel.ws.addEventListener('error', updateReadyState);\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 var data = msg['content']['data'];\n if (data['blob'] !== undefined) {\n data = {\n data: new Blob(msg['buffers'], { type: data['blob'] }),\n };\n }\n // Pass the mpl event to the overridden (by mpl) onmessage function.\n ws.onmessage(data);\n });\n return ws;\n};\n\nmpl.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 = document.getElementById(id);\n var ws_proxy = comm_websocket_adapter(comm);\n\n function ondownload(figure, _format) {\n window.open(figure.canvas.toDataURL());\n }\n\n var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\n fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n if (!fig.cell_info) {\n console.error('Failed to find cell for figure', id, fig);\n return;\n }\n fig.cell_info[0].output_area.element.on(\n 'cleared',\n { fig: fig },\n fig._remove_fig_handler\n );\n};\n\nmpl.figure.prototype.handle_close = function (fig, msg) {\n var width = fig.canvas.width / fig.ratio;\n fig.cell_info[0].output_area.element.off(\n 'cleared',\n fig._remove_fig_handler\n );\n fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n fig.close_ws(fig, msg);\n};\n\nmpl.figure.prototype.close_ws = function (fig, msg) {\n fig.send_message('closing', msg);\n // fig.ws.close()\n};\n\nmpl.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 / this.ratio;\n var dataURL = this.canvas.toDataURL();\n this.cell_info[1]['text/html'] =\n '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n};\n\nmpl.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 () {\n fig.push_to_output();\n }, 1000);\n};\n\nmpl.figure.prototype._init_toolbar = function () {\n var fig = this;\n\n var toolbar = document.createElement('div');\n toolbar.classList = 'btn-toolbar';\n this.root.appendChild(toolbar);\n\n function on_click_closure(name) {\n return function (_event) {\n return fig.toolbar_button_onclick(name);\n };\n }\n\n function on_mouseover_closure(tooltip) {\n return function (event) {\n if (!event.currentTarget.disabled) {\n return fig.toolbar_button_onmouseover(tooltip);\n }\n };\n }\n\n fig.buttons = {};\n var buttonGroup = document.createElement('div');\n buttonGroup.classList = 'btn-group';\n var button;\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 /* Instead of a spacer, we start a new button group. */\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n buttonGroup = document.createElement('div');\n buttonGroup.classList = 'btn-group';\n continue;\n }\n\n button = fig.buttons[name] = document.createElement('button');\n button.classList = 'btn btn-default';\n button.href = '#';\n button.title = name;\n button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n button.addEventListener('click', on_click_closure(method_name));\n button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n buttonGroup.appendChild(button);\n }\n\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n\n // Add the status bar.\n var status_bar = document.createElement('span');\n status_bar.classList = 'mpl-message pull-right';\n toolbar.appendChild(status_bar);\n this.message = status_bar;\n\n // Add the close button to the window.\n var buttongrp = document.createElement('div');\n buttongrp.classList = 'btn-group inline pull-right';\n button = document.createElement('button');\n button.classList = 'btn btn-mini btn-primary';\n button.href = '#';\n button.title = 'Stop Interaction';\n button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n button.addEventListener('click', function (_evt) {\n fig.handle_close(fig, {});\n });\n button.addEventListener(\n 'mouseover',\n on_mouseover_closure('Stop Interaction')\n );\n buttongrp.appendChild(button);\n var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n titlebar.insertBefore(buttongrp, titlebar.firstChild);\n};\n\nmpl.figure.prototype._remove_fig_handler = function (event) {\n var fig = event.data.fig;\n if (event.target !== this) {\n // Ignore bubbled events from children.\n return;\n }\n fig.close_ws(fig, {});\n};\n\nmpl.figure.prototype._root_extra_style = function (el) {\n el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n};\n\nmpl.figure.prototype._canvas_extra_style = function (el) {\n // this is important to make the div 'focusable\n el.setAttribute('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 } else {\n // location in version 2\n IPython.keyboard_manager.register_events(el);\n }\n};\n\nmpl.figure.prototype._key_event_extra = function (event, _name) {\n // Check for shift+enter\n if (event.shiftKey && event.which === 13) {\n this.canvas_div.blur();\n // select the cell after this one\n var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n IPython.notebook.select(index + 1);\n }\n};\n\nmpl.figure.prototype.handle_save = function (fig, _msg) {\n fig.ondownload(fig, null);\n};\n\nmpl.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 < ncells; i++) {\n var cell = cells[i];\n if (cell.cell_type === 'code') {\n for (var j = 0; j < cell.output_area.outputs.length; j++) {\n var data = cell.output_area.outputs[j];\n if (data.data) {\n // IPython >= 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.\nif (IPython.notebook.kernel !== null) {\n IPython.notebook.kernel.comm_manager.register_target(\n 'matplotlib',\n mpl.mpl_figure_comm\n );\n}\n",
+ "application/javascript": [
+ "/* Put everything inside the global mpl namespace */\n",
+ "/* global mpl */\n",
+ "window.mpl = {};\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(\n",
+ " '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",
+ "\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 = document.createElement('div');\n",
+ " this.root.setAttribute('style', 'display: inline-block');\n",
+ " this._root_extra_style(this.root);\n",
+ "\n",
+ " parent_element.appendChild(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 (fig.ratio !== 1) {\n",
+ " fig.send_message('set_device_pixel_ratio', {\n",
+ " device_pixel_ratio: fig.ratio,\n",
+ " });\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 = document.createElement('div');\n",
+ " titlebar.classList =\n",
+ " 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
+ " var titletext = document.createElement('div');\n",
+ " titletext.classList = 'ui-dialog-title';\n",
+ " titletext.setAttribute(\n",
+ " 'style',\n",
+ " 'width: 100%; text-align: center; padding: 3px;'\n",
+ " );\n",
+ " titlebar.appendChild(titletext);\n",
+ " this.root.appendChild(titlebar);\n",
+ " this.header = titletext;\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
+ "\n",
+ "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
+ "\n",
+ "mpl.figure.prototype._init_canvas = function () {\n",
+ " var fig = this;\n",
+ "\n",
+ " var canvas_div = (this.canvas_div = document.createElement('div'));\n",
+ " canvas_div.setAttribute(\n",
+ " 'style',\n",
+ " 'border: 1px solid #ddd;' +\n",
+ " 'box-sizing: content-box;' +\n",
+ " 'clear: both;' +\n",
+ " 'min-height: 1px;' +\n",
+ " 'min-width: 1px;' +\n",
+ " 'outline: 0;' +\n",
+ " 'overflow: hidden;' +\n",
+ " 'position: relative;' +\n",
+ " 'resize: both;'\n",
+ " );\n",
+ "\n",
+ " function on_keyboard_event_closure(name) {\n",
+ " return function (event) {\n",
+ " return fig.key_event(event, name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " canvas_div.addEventListener(\n",
+ " 'keydown',\n",
+ " on_keyboard_event_closure('key_press')\n",
+ " );\n",
+ " canvas_div.addEventListener(\n",
+ " 'keyup',\n",
+ " on_keyboard_event_closure('key_release')\n",
+ " );\n",
+ "\n",
+ " this._canvas_extra_style(canvas_div);\n",
+ " this.root.appendChild(canvas_div);\n",
+ "\n",
+ " var canvas = (this.canvas = document.createElement('canvas'));\n",
+ " canvas.classList.add('mpl-canvas');\n",
+ " canvas.setAttribute('style', 'box-sizing: content-box;');\n",
+ "\n",
+ " this.context = canvas.getContext('2d');\n",
+ "\n",
+ " var backingStore =\n",
+ " this.context.backingStorePixelRatio ||\n",
+ " this.context.webkitBackingStorePixelRatio ||\n",
+ " this.context.mozBackingStorePixelRatio ||\n",
+ " this.context.msBackingStorePixelRatio ||\n",
+ " this.context.oBackingStorePixelRatio ||\n",
+ " this.context.backingStorePixelRatio ||\n",
+ " 1;\n",
+ "\n",
+ " this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
+ "\n",
+ " var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
+ " 'canvas'\n",
+ " ));\n",
+ " rubberband_canvas.setAttribute(\n",
+ " 'style',\n",
+ " 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
+ " );\n",
+ "\n",
+ " // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
+ " if (this.ResizeObserver === undefined) {\n",
+ " if (window.ResizeObserver !== undefined) {\n",
+ " this.ResizeObserver = window.ResizeObserver;\n",
+ " } else {\n",
+ " var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
+ " this.ResizeObserver = obs.ResizeObserver;\n",
+ " }\n",
+ " }\n",
+ "\n",
+ " this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
+ " var nentries = entries.length;\n",
+ " for (var i = 0; i < nentries; i++) {\n",
+ " var entry = entries[i];\n",
+ " var width, height;\n",
+ " if (entry.contentBoxSize) {\n",
+ " if (entry.contentBoxSize instanceof Array) {\n",
+ " // Chrome 84 implements new version of spec.\n",
+ " width = entry.contentBoxSize[0].inlineSize;\n",
+ " height = entry.contentBoxSize[0].blockSize;\n",
+ " } else {\n",
+ " // Firefox implements old version of spec.\n",
+ " width = entry.contentBoxSize.inlineSize;\n",
+ " height = entry.contentBoxSize.blockSize;\n",
+ " }\n",
+ " } else {\n",
+ " // Chrome <84 implements even older version of spec.\n",
+ " width = entry.contentRect.width;\n",
+ " height = entry.contentRect.height;\n",
+ " }\n",
+ "\n",
+ " // Keep the size of the canvas and rubber band canvas in sync with\n",
+ " // the canvas container.\n",
+ " if (entry.devicePixelContentBoxSize) {\n",
+ " // Chrome 84 implements new version of spec.\n",
+ " canvas.setAttribute(\n",
+ " 'width',\n",
+ " entry.devicePixelContentBoxSize[0].inlineSize\n",
+ " );\n",
+ " canvas.setAttribute(\n",
+ " 'height',\n",
+ " entry.devicePixelContentBoxSize[0].blockSize\n",
+ " );\n",
+ " } else {\n",
+ " canvas.setAttribute('width', width * fig.ratio);\n",
+ " canvas.setAttribute('height', height * fig.ratio);\n",
+ " }\n",
+ " canvas.setAttribute(\n",
+ " 'style',\n",
+ " 'width: ' + width + 'px; height: ' + height + 'px;'\n",
+ " );\n",
+ "\n",
+ " rubberband_canvas.setAttribute('width', width);\n",
+ " rubberband_canvas.setAttribute('height', height);\n",
+ "\n",
+ " // And update the size in Python. We ignore the initial 0/0 size\n",
+ " // that occurs as the element is placed into the DOM, which should\n",
+ " // otherwise not happen due to the minimum size styling.\n",
+ " if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
+ " fig.request_resize(width, height);\n",
+ " }\n",
+ " }\n",
+ " });\n",
+ " this.resizeObserverInstance.observe(canvas_div);\n",
+ "\n",
+ " function on_mouse_event_closure(name) {\n",
+ " return function (event) {\n",
+ " return fig.mouse_event(event, name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mousedown',\n",
+ " on_mouse_event_closure('button_press')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseup',\n",
+ " on_mouse_event_closure('button_release')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'dblclick',\n",
+ " on_mouse_event_closure('dblclick')\n",
+ " );\n",
+ " // Throttle sequential mouse events to 1 every 20ms.\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mousemove',\n",
+ " on_mouse_event_closure('motion_notify')\n",
+ " );\n",
+ "\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseenter',\n",
+ " on_mouse_event_closure('figure_enter')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseleave',\n",
+ " on_mouse_event_closure('figure_leave')\n",
+ " );\n",
+ "\n",
+ " canvas_div.addEventListener('wheel', function (event) {\n",
+ " if (event.deltaY < 0) {\n",
+ " event.step = 1;\n",
+ " } else {\n",
+ " event.step = -1;\n",
+ " }\n",
+ " on_mouse_event_closure('scroll')(event);\n",
+ " });\n",
+ "\n",
+ " canvas_div.appendChild(canvas);\n",
+ " canvas_div.appendChild(rubberband_canvas);\n",
+ "\n",
+ " this.rubberband_context = rubberband_canvas.getContext('2d');\n",
+ " this.rubberband_context.strokeStyle = '#000000';\n",
+ "\n",
+ " this._resize_canvas = function (width, height, forward) {\n",
+ " if (forward) {\n",
+ " canvas_div.style.width = width + 'px';\n",
+ " canvas_div.style.height = height + 'px';\n",
+ " }\n",
+ " };\n",
+ "\n",
+ " // Disable right mouse context menu.\n",
+ " this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
+ " event.preventDefault();\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 toolbar = document.createElement('div');\n",
+ " toolbar.classList = 'mpl-toolbar';\n",
+ " this.root.appendChild(toolbar);\n",
+ "\n",
+ " function on_click_closure(name) {\n",
+ " return function (_event) {\n",
+ " return fig.toolbar_button_onclick(name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " function on_mouseover_closure(tooltip) {\n",
+ " return function (event) {\n",
+ " if (!event.currentTarget.disabled) {\n",
+ " return fig.toolbar_button_onmouseover(tooltip);\n",
+ " }\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " fig.buttons = {};\n",
+ " var buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'mpl-button-group';\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",
+ " /* Instead of a spacer, we start a new button group. */\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ " buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'mpl-button-group';\n",
+ " continue;\n",
+ " }\n",
+ "\n",
+ " var button = (fig.buttons[name] = document.createElement('button'));\n",
+ " button.classList = 'mpl-widget';\n",
+ " button.setAttribute('role', 'button');\n",
+ " button.setAttribute('aria-disabled', 'false');\n",
+ " button.addEventListener('click', on_click_closure(method_name));\n",
+ " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
+ "\n",
+ " var icon_img = document.createElement('img');\n",
+ " icon_img.src = '_images/' + image + '.png';\n",
+ " icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
+ " icon_img.alt = tooltip;\n",
+ " button.appendChild(icon_img);\n",
+ "\n",
+ " buttonGroup.appendChild(button);\n",
+ " }\n",
+ "\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ "\n",
+ " var fmt_picker = document.createElement('select');\n",
+ " fmt_picker.classList = 'mpl-widget';\n",
+ " toolbar.appendChild(fmt_picker);\n",
+ " this.format_dropdown = fmt_picker;\n",
+ "\n",
+ " for (var ind in mpl.extensions) {\n",
+ " var fmt = mpl.extensions[ind];\n",
+ " var option = document.createElement('option');\n",
+ " option.selected = fmt === mpl.default_extension;\n",
+ " option.innerHTML = fmt;\n",
+ " fmt_picker.appendChild(option);\n",
+ " }\n",
+ "\n",
+ " var status_bar = document.createElement('span');\n",
+ " status_bar.classList = 'mpl-message';\n",
+ " toolbar.appendChild(status_bar);\n",
+ " this.message = status_bar;\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",
+ "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",
+ "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], msg['forward']);\n",
+ " fig.send_message('refresh', {});\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
+ " var x0 = msg['x0'] / fig.ratio;\n",
+ " var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
+ " var x1 = msg['x1'] / fig.ratio;\n",
+ " var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
+ " 0,\n",
+ " fig.canvas.width / fig.ratio,\n",
+ " fig.canvas.height / fig.ratio\n",
+ " );\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",
+ " fig.rubberband_canvas.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
+ " for (var key in msg) {\n",
+ " if (!(key in fig.buttons)) {\n",
+ " continue;\n",
+ " }\n",
+ " fig.buttons[key].disabled = !msg[key];\n",
+ " fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
+ " if (msg['mode'] === 'PAN') {\n",
+ " fig.buttons['Pan'].classList.add('active');\n",
+ " fig.buttons['Zoom'].classList.remove('active');\n",
+ " } else if (msg['mode'] === 'ZOOM') {\n",
+ " fig.buttons['Pan'].classList.remove('active');\n",
+ " fig.buttons['Zoom'].classList.add('active');\n",
+ " } else {\n",
+ " fig.buttons['Pan'].classList.remove('active');\n",
+ " fig.buttons['Zoom'].classList.remove('active');\n",
+ " }\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",
+ " var img = evt.data;\n",
+ " if (img.type !== 'image/png') {\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",
+ " img.type = 'image/png';\n",
+ " }\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",
+ "\n",
+ " fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
+ " img\n",
+ " );\n",
+ " fig.updated_canvas_event();\n",
+ " fig.waiting = false;\n",
+ " return;\n",
+ " } else if (\n",
+ " typeof evt.data === 'string' &&\n",
+ " evt.data.slice(0, 21) === 'data:image/png;base64'\n",
+ " ) {\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(\n",
+ " \"No handler for the '\" + msg_type + \"' message type: \",\n",
+ " msg\n",
+ " );\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(\n",
+ " \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
+ " e,\n",
+ " e.stack,\n",
+ " msg\n",
+ " );\n",
+ " }\n",
+ " }\n",
+ " };\n",
+ "};\n",
+ "\n",
+ "// from https://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",
+ " }\n",
+ " if (e.target) {\n",
+ " targ = e.target;\n",
+ " } else if (e.srcElement) {\n",
+ " targ = e.srcElement;\n",
+ " }\n",
+ " if (targ.nodeType === 3) {\n",
+ " // defeat Safari bug\n",
+ " targ = targ.parentNode;\n",
+ " }\n",
+ "\n",
+ " // pageX,Y are the mouse positions relative to the document\n",
+ " var boundingRect = targ.getBoundingClientRect();\n",
+ " var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
+ " var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
+ " * https://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",
+ " }\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",
+ " this.canvas.focus();\n",
+ " this.canvas_div.focus();\n",
+ " }\n",
+ "\n",
+ " var x = canvas_pos.x * this.ratio;\n",
+ " var y = canvas_pos.y * this.ratio;\n",
+ "\n",
+ " this.send_message(name, {\n",
+ " x: x,\n",
+ " y: y,\n",
+ " button: event.button,\n",
+ " step: event.step,\n",
+ " guiEvent: simpleKeys(event),\n",
+ " });\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",
+ " // Prevent repeat events\n",
+ " if (name === 'key_press') {\n",
+ " if (event.key === this._key) {\n",
+ " return;\n",
+ " } else {\n",
+ " this._key = event.key;\n",
+ " }\n",
+ " }\n",
+ " if (name === 'key_release') {\n",
+ " this._key = null;\n",
+ " }\n",
+ "\n",
+ " var value = '';\n",
+ " if (event.ctrlKey && event.key !== 'Control') {\n",
+ " value += 'ctrl+';\n",
+ " }\n",
+ " else if (event.altKey && event.key !== 'Alt') {\n",
+ " value += 'alt+';\n",
+ " }\n",
+ " else if (event.shiftKey && event.key !== 'Shift') {\n",
+ " value += 'shift+';\n",
+ " }\n",
+ "\n",
+ " value += 'k' + event.key;\n",
+ "\n",
+ " this._key_event_extra(event, name);\n",
+ "\n",
+ " this.send_message(name, { key: value, 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",
+ "\n",
+ "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
+ "// prettier-ignore\n",
+ "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
+ "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
+ "\n",
+ "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
+ "\n",
+ "mpl.default_extension = \"png\";/* global mpl */\n",
+ "\n",
+ "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.binaryType = comm.kernel.ws.binaryType;\n",
+ " ws.readyState = comm.kernel.ws.readyState;\n",
+ " function updateReadyState(_event) {\n",
+ " if (comm.kernel.ws) {\n",
+ " ws.readyState = comm.kernel.ws.readyState;\n",
+ " } else {\n",
+ " ws.readyState = 3; // Closed state.\n",
+ " }\n",
+ " }\n",
+ " comm.kernel.ws.addEventListener('open', updateReadyState);\n",
+ " comm.kernel.ws.addEventListener('close', updateReadyState);\n",
+ " comm.kernel.ws.addEventListener('error', updateReadyState);\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",
+ " var data = msg['content']['data'];\n",
+ " if (data['blob'] !== undefined) {\n",
+ " data = {\n",
+ " data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
+ " };\n",
+ " }\n",
+ " // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
+ " ws.onmessage(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 = document.getElementById(id);\n",
+ " var ws_proxy = comm_websocket_adapter(comm);\n",
+ "\n",
+ " function ondownload(figure, _format) {\n",
+ " window.open(figure.canvas.toDataURL());\n",
+ " }\n",
+ "\n",
+ " var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\n",
+ " fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
+ " if (!fig.cell_info) {\n",
+ " console.error('Failed to find cell for figure', id, fig);\n",
+ " return;\n",
+ " }\n",
+ " fig.cell_info[0].output_area.element.on(\n",
+ " 'cleared',\n",
+ " { fig: fig },\n",
+ " fig._remove_fig_handler\n",
+ " );\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
+ " var width = fig.canvas.width / fig.ratio;\n",
+ " fig.cell_info[0].output_area.element.off(\n",
+ " 'cleared',\n",
+ " fig._remove_fig_handler\n",
+ " );\n",
+ " fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
+ " '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\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 / this.ratio;\n",
+ " var dataURL = this.canvas.toDataURL();\n",
+ " this.cell_info[1]['text/html'] =\n",
+ " '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\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 () {\n",
+ " fig.push_to_output();\n",
+ " }, 1000);\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._init_toolbar = function () {\n",
+ " var fig = this;\n",
+ "\n",
+ " var toolbar = document.createElement('div');\n",
+ " toolbar.classList = 'btn-toolbar';\n",
+ " this.root.appendChild(toolbar);\n",
+ "\n",
+ " function on_click_closure(name) {\n",
+ " return function (_event) {\n",
+ " return fig.toolbar_button_onclick(name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " function on_mouseover_closure(tooltip) {\n",
+ " return function (event) {\n",
+ " if (!event.currentTarget.disabled) {\n",
+ " return fig.toolbar_button_onmouseover(tooltip);\n",
+ " }\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " fig.buttons = {};\n",
+ " var buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'btn-group';\n",
+ " var button;\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",
+ " /* Instead of a spacer, we start a new button group. */\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ " buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'btn-group';\n",
+ " continue;\n",
+ " }\n",
+ "\n",
+ " button = fig.buttons[name] = document.createElement('button');\n",
+ " button.classList = 'btn btn-default';\n",
+ " button.href = '#';\n",
+ " button.title = name;\n",
+ " button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
+ " button.addEventListener('click', on_click_closure(method_name));\n",
+ " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
+ " buttonGroup.appendChild(button);\n",
+ " }\n",
+ "\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ "\n",
+ " // Add the status bar.\n",
+ " var status_bar = document.createElement('span');\n",
+ " status_bar.classList = 'mpl-message pull-right';\n",
+ " toolbar.appendChild(status_bar);\n",
+ " this.message = status_bar;\n",
+ "\n",
+ " // Add the close button to the window.\n",
+ " var buttongrp = document.createElement('div');\n",
+ " buttongrp.classList = 'btn-group inline pull-right';\n",
+ " button = document.createElement('button');\n",
+ " button.classList = 'btn btn-mini btn-primary';\n",
+ " button.href = '#';\n",
+ " button.title = 'Stop Interaction';\n",
+ " button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
+ " button.addEventListener('click', function (_evt) {\n",
+ " fig.handle_close(fig, {});\n",
+ " });\n",
+ " button.addEventListener(\n",
+ " 'mouseover',\n",
+ " on_mouseover_closure('Stop Interaction')\n",
+ " );\n",
+ " buttongrp.appendChild(button);\n",
+ " var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
+ " titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
+ " var fig = event.data.fig;\n",
+ " if (event.target !== this) {\n",
+ " // Ignore bubbled events from children.\n",
+ " return;\n",
+ " }\n",
+ " fig.close_ws(fig, {});\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._root_extra_style = function (el) {\n",
+ " el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
+ " // this is important to make the div 'focusable\n",
+ " el.setAttribute('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",
+ " } else {\n",
+ " // location in version 2\n",
+ " IPython.keyboard_manager.register_events(el);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
+ " // Check for shift+enter\n",
+ " if (event.shiftKey && event.which === 13) {\n",
+ " this.canvas_div.blur();\n",
+ " // select the cell after this one\n",
+ " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
+ " IPython.notebook.select(index + 1);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
+ " fig.ondownload(fig, null);\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 < ncells; i++) {\n",
+ " var cell = cells[i];\n",
+ " if (cell.cell_type === 'code') {\n",
+ " for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
+ " var data = cell.output_area.outputs[j];\n",
+ " if (data.data) {\n",
+ " // IPython >= 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(\n",
+ " 'matplotlib',\n",
+ " mpl.mpl_figure_comm\n",
+ " );\n",
+ "}\n"
+ ],
"text/plain": [
"<IPython.core.display.Javascript object>"
]
@@ -262,7 +1217,962 @@
"outputs": [
{
"data": {
- "application/javascript": "/* Put everything inside the global mpl namespace */\n/* global mpl */\nwindow.mpl = {};\n\nmpl.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(\n '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\nmpl.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 = document.createElement('div');\n this.root.setAttribute('style', 'display: inline-block');\n this._root_extra_style(this.root);\n\n parent_element.appendChild(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 (fig.ratio !== 1) {\n fig.send_message('set_device_pixel_ratio', {\n device_pixel_ratio: fig.ratio,\n });\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\nmpl.figure.prototype._init_header = function () {\n var titlebar = document.createElement('div');\n titlebar.classList =\n 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n var titletext = document.createElement('div');\n titletext.classList = 'ui-dialog-title';\n titletext.setAttribute(\n 'style',\n 'width: 100%; text-align: center; padding: 3px;'\n );\n titlebar.appendChild(titletext);\n this.root.appendChild(titlebar);\n this.header = titletext;\n};\n\nmpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n\nmpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n\nmpl.figure.prototype._init_canvas = function () {\n var fig = this;\n\n var canvas_div = (this.canvas_div = document.createElement('div'));\n canvas_div.setAttribute(\n 'style',\n 'border: 1px solid #ddd;' +\n 'box-sizing: content-box;' +\n 'clear: both;' +\n 'min-height: 1px;' +\n 'min-width: 1px;' +\n 'outline: 0;' +\n 'overflow: hidden;' +\n 'position: relative;' +\n 'resize: both;'\n );\n\n function on_keyboard_event_closure(name) {\n return function (event) {\n return fig.key_event(event, name);\n };\n }\n\n canvas_div.addEventListener(\n 'keydown',\n on_keyboard_event_closure('key_press')\n );\n canvas_div.addEventListener(\n 'keyup',\n on_keyboard_event_closure('key_release')\n );\n\n this._canvas_extra_style(canvas_div);\n this.root.appendChild(canvas_div);\n\n var canvas = (this.canvas = document.createElement('canvas'));\n canvas.classList.add('mpl-canvas');\n canvas.setAttribute('style', 'box-sizing: content-box;');\n\n this.context = canvas.getContext('2d');\n\n var backingStore =\n this.context.backingStorePixelRatio ||\n this.context.webkitBackingStorePixelRatio ||\n this.context.mozBackingStorePixelRatio ||\n this.context.msBackingStorePixelRatio ||\n this.context.oBackingStorePixelRatio ||\n this.context.backingStorePixelRatio ||\n 1;\n\n this.ratio = (window.devicePixelRatio || 1) / backingStore;\n\n var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n 'canvas'\n ));\n rubberband_canvas.setAttribute(\n 'style',\n 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n );\n\n // Apply a ponyfill if ResizeObserver is not implemented by browser.\n if (this.ResizeObserver === undefined) {\n if (window.ResizeObserver !== undefined) {\n this.ResizeObserver = window.ResizeObserver;\n } else {\n var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n this.ResizeObserver = obs.ResizeObserver;\n }\n }\n\n this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n var nentries = entries.length;\n for (var i = 0; i < nentries; i++) {\n var entry = entries[i];\n var width, height;\n if (entry.contentBoxSize) {\n if (entry.contentBoxSize instanceof Array) {\n // Chrome 84 implements new version of spec.\n width = entry.contentBoxSize[0].inlineSize;\n height = entry.contentBoxSize[0].blockSize;\n } else {\n // Firefox implements old version of spec.\n width = entry.contentBoxSize.inlineSize;\n height = entry.contentBoxSize.blockSize;\n }\n } else {\n // Chrome <84 implements even older version of spec.\n width = entry.contentRect.width;\n height = entry.contentRect.height;\n }\n\n // Keep the size of the canvas and rubber band canvas in sync with\n // the canvas container.\n if (entry.devicePixelContentBoxSize) {\n // Chrome 84 implements new version of spec.\n canvas.setAttribute(\n 'width',\n entry.devicePixelContentBoxSize[0].inlineSize\n );\n canvas.setAttribute(\n 'height',\n entry.devicePixelContentBoxSize[0].blockSize\n );\n } else {\n canvas.setAttribute('width', width * fig.ratio);\n canvas.setAttribute('height', height * fig.ratio);\n }\n canvas.setAttribute(\n 'style',\n 'width: ' + width + 'px; height: ' + height + 'px;'\n );\n\n rubberband_canvas.setAttribute('width', width);\n rubberband_canvas.setAttribute('height', height);\n\n // And update the size in Python. We ignore the initial 0/0 size\n // that occurs as the element is placed into the DOM, which should\n // otherwise not happen due to the minimum size styling.\n if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n fig.request_resize(width, height);\n }\n }\n });\n this.resizeObserverInstance.observe(canvas_div);\n\n function on_mouse_event_closure(name) {\n return function (event) {\n return fig.mouse_event(event, name);\n };\n }\n\n rubberband_canvas.addEventListener(\n 'mousedown',\n on_mouse_event_closure('button_press')\n );\n rubberband_canvas.addEventListener(\n 'mouseup',\n on_mouse_event_closure('button_release')\n );\n rubberband_canvas.addEventListener(\n 'dblclick',\n on_mouse_event_closure('dblclick')\n );\n // Throttle sequential mouse events to 1 every 20ms.\n rubberband_canvas.addEventListener(\n 'mousemove',\n on_mouse_event_closure('motion_notify')\n );\n\n rubberband_canvas.addEventListener(\n 'mouseenter',\n on_mouse_event_closure('figure_enter')\n );\n rubberband_canvas.addEventListener(\n 'mouseleave',\n on_mouse_event_closure('figure_leave')\n );\n\n canvas_div.addEventListener('wheel', function (event) {\n if (event.deltaY < 0) {\n event.step = 1;\n } else {\n event.step = -1;\n }\n on_mouse_event_closure('scroll')(event);\n });\n\n canvas_div.appendChild(canvas);\n canvas_div.appendChild(rubberband_canvas);\n\n this.rubberband_context = rubberband_canvas.getContext('2d');\n this.rubberband_context.strokeStyle = '#000000';\n\n this._resize_canvas = function (width, height, forward) {\n if (forward) {\n canvas_div.style.width = width + 'px';\n canvas_div.style.height = height + 'px';\n }\n };\n\n // Disable right mouse context menu.\n this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n event.preventDefault();\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\nmpl.figure.prototype._init_toolbar = function () {\n var fig = this;\n\n var toolbar = document.createElement('div');\n toolbar.classList = 'mpl-toolbar';\n this.root.appendChild(toolbar);\n\n function on_click_closure(name) {\n return function (_event) {\n return fig.toolbar_button_onclick(name);\n };\n }\n\n function on_mouseover_closure(tooltip) {\n return function (event) {\n if (!event.currentTarget.disabled) {\n return fig.toolbar_button_onmouseover(tooltip);\n }\n };\n }\n\n fig.buttons = {};\n var buttonGroup = document.createElement('div');\n buttonGroup.classList = 'mpl-button-group';\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 /* Instead of a spacer, we start a new button group. */\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n buttonGroup = document.createElement('div');\n buttonGroup.classList = 'mpl-button-group';\n continue;\n }\n\n var button = (fig.buttons[name] = document.createElement('button'));\n button.classList = 'mpl-widget';\n button.setAttribute('role', 'button');\n button.setAttribute('aria-disabled', 'false');\n button.addEventListener('click', on_click_closure(method_name));\n button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n\n var icon_img = document.createElement('img');\n icon_img.src = '_images/' + image + '.png';\n icon_img.srcset = '_images/' + image + '_large.png 2x';\n icon_img.alt = tooltip;\n button.appendChild(icon_img);\n\n buttonGroup.appendChild(button);\n }\n\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n\n var fmt_picker = document.createElement('select');\n fmt_picker.classList = 'mpl-widget';\n toolbar.appendChild(fmt_picker);\n this.format_dropdown = fmt_picker;\n\n for (var ind in mpl.extensions) {\n var fmt = mpl.extensions[ind];\n var option = document.createElement('option');\n option.selected = fmt === mpl.default_extension;\n option.innerHTML = fmt;\n fmt_picker.appendChild(option);\n }\n\n var status_bar = document.createElement('span');\n status_bar.classList = 'mpl-message';\n toolbar.appendChild(status_bar);\n this.message = status_bar;\n};\n\nmpl.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\nmpl.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\nmpl.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\nmpl.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\nmpl.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], msg['forward']);\n fig.send_message('refresh', {});\n }\n};\n\nmpl.figure.prototype.handle_rubberband = function (fig, msg) {\n var x0 = msg['x0'] / fig.ratio;\n var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n var x1 = msg['x1'] / fig.ratio;\n var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n 0,\n fig.canvas.width / fig.ratio,\n fig.canvas.height / fig.ratio\n );\n\n fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n};\n\nmpl.figure.prototype.handle_figure_label = function (fig, msg) {\n // Updates the figure title.\n fig.header.textContent = msg['label'];\n};\n\nmpl.figure.prototype.handle_cursor = function (fig, msg) {\n fig.rubberband_canvas.style.cursor = msg['cursor'];\n};\n\nmpl.figure.prototype.handle_message = function (fig, msg) {\n fig.message.textContent = msg['message'];\n};\n\nmpl.figure.prototype.handle_draw = function (fig, _msg) {\n // Request the server to send over a new figure.\n fig.send_draw_message();\n};\n\nmpl.figure.prototype.handle_image_mode = function (fig, msg) {\n fig.image_mode = msg['mode'];\n};\n\nmpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n for (var key in msg) {\n if (!(key in fig.buttons)) {\n continue;\n }\n fig.buttons[key].disabled = !msg[key];\n fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n }\n};\n\nmpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n if (msg['mode'] === 'PAN') {\n fig.buttons['Pan'].classList.add('active');\n fig.buttons['Zoom'].classList.remove('active');\n } else if (msg['mode'] === 'ZOOM') {\n fig.buttons['Pan'].classList.remove('active');\n fig.buttons['Zoom'].classList.add('active');\n } else {\n fig.buttons['Pan'].classList.remove('active');\n fig.buttons['Zoom'].classList.remove('active');\n }\n};\n\nmpl.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.\nmpl.figure.prototype._make_on_message_function = function (fig) {\n return function socket_on_message(evt) {\n if (evt.data instanceof Blob) {\n var img = evt.data;\n if (img.type !== 'image/png') {\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 img.type = 'image/png';\n }\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\n fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n img\n );\n fig.updated_canvas_event();\n fig.waiting = false;\n return;\n } else if (\n typeof evt.data === 'string' &&\n evt.data.slice(0, 21) === 'data:image/png;base64'\n ) {\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(\n \"No handler for the '\" + msg_type + \"' message type: \",\n msg\n );\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(\n \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n e,\n e.stack,\n msg\n );\n }\n }\n };\n};\n\n// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\nmpl.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 }\n if (e.target) {\n targ = e.target;\n } else if (e.srcElement) {\n targ = e.srcElement;\n }\n if (targ.nodeType === 3) {\n // defeat Safari bug\n targ = targ.parentNode;\n }\n\n // pageX,Y are the mouse positions relative to the document\n var boundingRect = targ.getBoundingClientRect();\n var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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 * https://stackoverflow.com/a/24161582/3208463\n */\nfunction simpleKeys(original) {\n return Object.keys(original).reduce(function (obj, key) {\n if (typeof original[key] !== 'object') {\n obj[key] = original[key];\n }\n return obj;\n }, {});\n}\n\nmpl.figure.prototype.mouse_event = function (event, name) {\n var canvas_pos = mpl.findpos(event);\n\n if (name === 'button_press') {\n this.canvas.focus();\n this.canvas_div.focus();\n }\n\n var x = canvas_pos.x * this.ratio;\n var y = canvas_pos.y * this.ratio;\n\n this.send_message(name, {\n x: x,\n y: y,\n button: event.button,\n step: event.step,\n guiEvent: simpleKeys(event),\n });\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\nmpl.figure.prototype._key_event_extra = function (_event, _name) {\n // Handle any extra behaviour associated with a key event\n};\n\nmpl.figure.prototype.key_event = function (event, name) {\n // Prevent repeat events\n if (name === 'key_press') {\n if (event.key === this._key) {\n return;\n } else {\n this._key = event.key;\n }\n }\n if (name === 'key_release') {\n this._key = null;\n }\n\n var value = '';\n if (event.ctrlKey && event.key !== 'Control') {\n value += 'ctrl+';\n }\n else if (event.altKey && event.key !== 'Alt') {\n value += 'alt+';\n }\n else if (event.shiftKey && event.key !== 'Shift') {\n value += 'shift+';\n }\n\n value += 'k' + event.key;\n\n this._key_event_extra(event, name);\n\n this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n return false;\n};\n\nmpl.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\nmpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n this.message.textContent = tooltip;\n};\n\n///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n// prettier-ignore\nvar _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\nmpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n\nmpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n\nmpl.default_extension = \"png\";/* global mpl */\n\nvar 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.binaryType = comm.kernel.ws.binaryType;\n ws.readyState = comm.kernel.ws.readyState;\n function updateReadyState(_event) {\n if (comm.kernel.ws) {\n ws.readyState = comm.kernel.ws.readyState;\n } else {\n ws.readyState = 3; // Closed state.\n }\n }\n comm.kernel.ws.addEventListener('open', updateReadyState);\n comm.kernel.ws.addEventListener('close', updateReadyState);\n comm.kernel.ws.addEventListener('error', updateReadyState);\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 var data = msg['content']['data'];\n if (data['blob'] !== undefined) {\n data = {\n data: new Blob(msg['buffers'], { type: data['blob'] }),\n };\n }\n // Pass the mpl event to the overridden (by mpl) onmessage function.\n ws.onmessage(data);\n });\n return ws;\n};\n\nmpl.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 = document.getElementById(id);\n var ws_proxy = comm_websocket_adapter(comm);\n\n function ondownload(figure, _format) {\n window.open(figure.canvas.toDataURL());\n }\n\n var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\n fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n if (!fig.cell_info) {\n console.error('Failed to find cell for figure', id, fig);\n return;\n }\n fig.cell_info[0].output_area.element.on(\n 'cleared',\n { fig: fig },\n fig._remove_fig_handler\n );\n};\n\nmpl.figure.prototype.handle_close = function (fig, msg) {\n var width = fig.canvas.width / fig.ratio;\n fig.cell_info[0].output_area.element.off(\n 'cleared',\n fig._remove_fig_handler\n );\n fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n fig.close_ws(fig, msg);\n};\n\nmpl.figure.prototype.close_ws = function (fig, msg) {\n fig.send_message('closing', msg);\n // fig.ws.close()\n};\n\nmpl.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 / this.ratio;\n var dataURL = this.canvas.toDataURL();\n this.cell_info[1]['text/html'] =\n '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n};\n\nmpl.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 () {\n fig.push_to_output();\n }, 1000);\n};\n\nmpl.figure.prototype._init_toolbar = function () {\n var fig = this;\n\n var toolbar = document.createElement('div');\n toolbar.classList = 'btn-toolbar';\n this.root.appendChild(toolbar);\n\n function on_click_closure(name) {\n return function (_event) {\n return fig.toolbar_button_onclick(name);\n };\n }\n\n function on_mouseover_closure(tooltip) {\n return function (event) {\n if (!event.currentTarget.disabled) {\n return fig.toolbar_button_onmouseover(tooltip);\n }\n };\n }\n\n fig.buttons = {};\n var buttonGroup = document.createElement('div');\n buttonGroup.classList = 'btn-group';\n var button;\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 /* Instead of a spacer, we start a new button group. */\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n buttonGroup = document.createElement('div');\n buttonGroup.classList = 'btn-group';\n continue;\n }\n\n button = fig.buttons[name] = document.createElement('button');\n button.classList = 'btn btn-default';\n button.href = '#';\n button.title = name;\n button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n button.addEventListener('click', on_click_closure(method_name));\n button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n buttonGroup.appendChild(button);\n }\n\n if (buttonGroup.hasChildNodes()) {\n toolbar.appendChild(buttonGroup);\n }\n\n // Add the status bar.\n var status_bar = document.createElement('span');\n status_bar.classList = 'mpl-message pull-right';\n toolbar.appendChild(status_bar);\n this.message = status_bar;\n\n // Add the close button to the window.\n var buttongrp = document.createElement('div');\n buttongrp.classList = 'btn-group inline pull-right';\n button = document.createElement('button');\n button.classList = 'btn btn-mini btn-primary';\n button.href = '#';\n button.title = 'Stop Interaction';\n button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n button.addEventListener('click', function (_evt) {\n fig.handle_close(fig, {});\n });\n button.addEventListener(\n 'mouseover',\n on_mouseover_closure('Stop Interaction')\n );\n buttongrp.appendChild(button);\n var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n titlebar.insertBefore(buttongrp, titlebar.firstChild);\n};\n\nmpl.figure.prototype._remove_fig_handler = function (event) {\n var fig = event.data.fig;\n if (event.target !== this) {\n // Ignore bubbled events from children.\n return;\n }\n fig.close_ws(fig, {});\n};\n\nmpl.figure.prototype._root_extra_style = function (el) {\n el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n};\n\nmpl.figure.prototype._canvas_extra_style = function (el) {\n // this is important to make the div 'focusable\n el.setAttribute('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 } else {\n // location in version 2\n IPython.keyboard_manager.register_events(el);\n }\n};\n\nmpl.figure.prototype._key_event_extra = function (event, _name) {\n // Check for shift+enter\n if (event.shiftKey && event.which === 13) {\n this.canvas_div.blur();\n // select the cell after this one\n var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n IPython.notebook.select(index + 1);\n }\n};\n\nmpl.figure.prototype.handle_save = function (fig, _msg) {\n fig.ondownload(fig, null);\n};\n\nmpl.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 < ncells; i++) {\n var cell = cells[i];\n if (cell.cell_type === 'code') {\n for (var j = 0; j < cell.output_area.outputs.length; j++) {\n var data = cell.output_area.outputs[j];\n if (data.data) {\n // IPython >= 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.\nif (IPython.notebook.kernel !== null) {\n IPython.notebook.kernel.comm_manager.register_target(\n 'matplotlib',\n mpl.mpl_figure_comm\n );\n}\n",
+ "application/javascript": [
+ "/* Put everything inside the global mpl namespace */\n",
+ "/* global mpl */\n",
+ "window.mpl = {};\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(\n",
+ " '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",
+ "\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 = document.createElement('div');\n",
+ " this.root.setAttribute('style', 'display: inline-block');\n",
+ " this._root_extra_style(this.root);\n",
+ "\n",
+ " parent_element.appendChild(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 (fig.ratio !== 1) {\n",
+ " fig.send_message('set_device_pixel_ratio', {\n",
+ " device_pixel_ratio: fig.ratio,\n",
+ " });\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 = document.createElement('div');\n",
+ " titlebar.classList =\n",
+ " 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
+ " var titletext = document.createElement('div');\n",
+ " titletext.classList = 'ui-dialog-title';\n",
+ " titletext.setAttribute(\n",
+ " 'style',\n",
+ " 'width: 100%; text-align: center; padding: 3px;'\n",
+ " );\n",
+ " titlebar.appendChild(titletext);\n",
+ " this.root.appendChild(titlebar);\n",
+ " this.header = titletext;\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
+ "\n",
+ "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
+ "\n",
+ "mpl.figure.prototype._init_canvas = function () {\n",
+ " var fig = this;\n",
+ "\n",
+ " var canvas_div = (this.canvas_div = document.createElement('div'));\n",
+ " canvas_div.setAttribute(\n",
+ " 'style',\n",
+ " 'border: 1px solid #ddd;' +\n",
+ " 'box-sizing: content-box;' +\n",
+ " 'clear: both;' +\n",
+ " 'min-height: 1px;' +\n",
+ " 'min-width: 1px;' +\n",
+ " 'outline: 0;' +\n",
+ " 'overflow: hidden;' +\n",
+ " 'position: relative;' +\n",
+ " 'resize: both;'\n",
+ " );\n",
+ "\n",
+ " function on_keyboard_event_closure(name) {\n",
+ " return function (event) {\n",
+ " return fig.key_event(event, name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " canvas_div.addEventListener(\n",
+ " 'keydown',\n",
+ " on_keyboard_event_closure('key_press')\n",
+ " );\n",
+ " canvas_div.addEventListener(\n",
+ " 'keyup',\n",
+ " on_keyboard_event_closure('key_release')\n",
+ " );\n",
+ "\n",
+ " this._canvas_extra_style(canvas_div);\n",
+ " this.root.appendChild(canvas_div);\n",
+ "\n",
+ " var canvas = (this.canvas = document.createElement('canvas'));\n",
+ " canvas.classList.add('mpl-canvas');\n",
+ " canvas.setAttribute('style', 'box-sizing: content-box;');\n",
+ "\n",
+ " this.context = canvas.getContext('2d');\n",
+ "\n",
+ " var backingStore =\n",
+ " this.context.backingStorePixelRatio ||\n",
+ " this.context.webkitBackingStorePixelRatio ||\n",
+ " this.context.mozBackingStorePixelRatio ||\n",
+ " this.context.msBackingStorePixelRatio ||\n",
+ " this.context.oBackingStorePixelRatio ||\n",
+ " this.context.backingStorePixelRatio ||\n",
+ " 1;\n",
+ "\n",
+ " this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
+ "\n",
+ " var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
+ " 'canvas'\n",
+ " ));\n",
+ " rubberband_canvas.setAttribute(\n",
+ " 'style',\n",
+ " 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
+ " );\n",
+ "\n",
+ " // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
+ " if (this.ResizeObserver === undefined) {\n",
+ " if (window.ResizeObserver !== undefined) {\n",
+ " this.ResizeObserver = window.ResizeObserver;\n",
+ " } else {\n",
+ " var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
+ " this.ResizeObserver = obs.ResizeObserver;\n",
+ " }\n",
+ " }\n",
+ "\n",
+ " this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
+ " var nentries = entries.length;\n",
+ " for (var i = 0; i < nentries; i++) {\n",
+ " var entry = entries[i];\n",
+ " var width, height;\n",
+ " if (entry.contentBoxSize) {\n",
+ " if (entry.contentBoxSize instanceof Array) {\n",
+ " // Chrome 84 implements new version of spec.\n",
+ " width = entry.contentBoxSize[0].inlineSize;\n",
+ " height = entry.contentBoxSize[0].blockSize;\n",
+ " } else {\n",
+ " // Firefox implements old version of spec.\n",
+ " width = entry.contentBoxSize.inlineSize;\n",
+ " height = entry.contentBoxSize.blockSize;\n",
+ " }\n",
+ " } else {\n",
+ " // Chrome <84 implements even older version of spec.\n",
+ " width = entry.contentRect.width;\n",
+ " height = entry.contentRect.height;\n",
+ " }\n",
+ "\n",
+ " // Keep the size of the canvas and rubber band canvas in sync with\n",
+ " // the canvas container.\n",
+ " if (entry.devicePixelContentBoxSize) {\n",
+ " // Chrome 84 implements new version of spec.\n",
+ " canvas.setAttribute(\n",
+ " 'width',\n",
+ " entry.devicePixelContentBoxSize[0].inlineSize\n",
+ " );\n",
+ " canvas.setAttribute(\n",
+ " 'height',\n",
+ " entry.devicePixelContentBoxSize[0].blockSize\n",
+ " );\n",
+ " } else {\n",
+ " canvas.setAttribute('width', width * fig.ratio);\n",
+ " canvas.setAttribute('height', height * fig.ratio);\n",
+ " }\n",
+ " canvas.setAttribute(\n",
+ " 'style',\n",
+ " 'width: ' + width + 'px; height: ' + height + 'px;'\n",
+ " );\n",
+ "\n",
+ " rubberband_canvas.setAttribute('width', width);\n",
+ " rubberband_canvas.setAttribute('height', height);\n",
+ "\n",
+ " // And update the size in Python. We ignore the initial 0/0 size\n",
+ " // that occurs as the element is placed into the DOM, which should\n",
+ " // otherwise not happen due to the minimum size styling.\n",
+ " if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
+ " fig.request_resize(width, height);\n",
+ " }\n",
+ " }\n",
+ " });\n",
+ " this.resizeObserverInstance.observe(canvas_div);\n",
+ "\n",
+ " function on_mouse_event_closure(name) {\n",
+ " return function (event) {\n",
+ " return fig.mouse_event(event, name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mousedown',\n",
+ " on_mouse_event_closure('button_press')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseup',\n",
+ " on_mouse_event_closure('button_release')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'dblclick',\n",
+ " on_mouse_event_closure('dblclick')\n",
+ " );\n",
+ " // Throttle sequential mouse events to 1 every 20ms.\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mousemove',\n",
+ " on_mouse_event_closure('motion_notify')\n",
+ " );\n",
+ "\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseenter',\n",
+ " on_mouse_event_closure('figure_enter')\n",
+ " );\n",
+ " rubberband_canvas.addEventListener(\n",
+ " 'mouseleave',\n",
+ " on_mouse_event_closure('figure_leave')\n",
+ " );\n",
+ "\n",
+ " canvas_div.addEventListener('wheel', function (event) {\n",
+ " if (event.deltaY < 0) {\n",
+ " event.step = 1;\n",
+ " } else {\n",
+ " event.step = -1;\n",
+ " }\n",
+ " on_mouse_event_closure('scroll')(event);\n",
+ " });\n",
+ "\n",
+ " canvas_div.appendChild(canvas);\n",
+ " canvas_div.appendChild(rubberband_canvas);\n",
+ "\n",
+ " this.rubberband_context = rubberband_canvas.getContext('2d');\n",
+ " this.rubberband_context.strokeStyle = '#000000';\n",
+ "\n",
+ " this._resize_canvas = function (width, height, forward) {\n",
+ " if (forward) {\n",
+ " canvas_div.style.width = width + 'px';\n",
+ " canvas_div.style.height = height + 'px';\n",
+ " }\n",
+ " };\n",
+ "\n",
+ " // Disable right mouse context menu.\n",
+ " this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
+ " event.preventDefault();\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 toolbar = document.createElement('div');\n",
+ " toolbar.classList = 'mpl-toolbar';\n",
+ " this.root.appendChild(toolbar);\n",
+ "\n",
+ " function on_click_closure(name) {\n",
+ " return function (_event) {\n",
+ " return fig.toolbar_button_onclick(name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " function on_mouseover_closure(tooltip) {\n",
+ " return function (event) {\n",
+ " if (!event.currentTarget.disabled) {\n",
+ " return fig.toolbar_button_onmouseover(tooltip);\n",
+ " }\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " fig.buttons = {};\n",
+ " var buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'mpl-button-group';\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",
+ " /* Instead of a spacer, we start a new button group. */\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ " buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'mpl-button-group';\n",
+ " continue;\n",
+ " }\n",
+ "\n",
+ " var button = (fig.buttons[name] = document.createElement('button'));\n",
+ " button.classList = 'mpl-widget';\n",
+ " button.setAttribute('role', 'button');\n",
+ " button.setAttribute('aria-disabled', 'false');\n",
+ " button.addEventListener('click', on_click_closure(method_name));\n",
+ " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
+ "\n",
+ " var icon_img = document.createElement('img');\n",
+ " icon_img.src = '_images/' + image + '.png';\n",
+ " icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
+ " icon_img.alt = tooltip;\n",
+ " button.appendChild(icon_img);\n",
+ "\n",
+ " buttonGroup.appendChild(button);\n",
+ " }\n",
+ "\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ "\n",
+ " var fmt_picker = document.createElement('select');\n",
+ " fmt_picker.classList = 'mpl-widget';\n",
+ " toolbar.appendChild(fmt_picker);\n",
+ " this.format_dropdown = fmt_picker;\n",
+ "\n",
+ " for (var ind in mpl.extensions) {\n",
+ " var fmt = mpl.extensions[ind];\n",
+ " var option = document.createElement('option');\n",
+ " option.selected = fmt === mpl.default_extension;\n",
+ " option.innerHTML = fmt;\n",
+ " fmt_picker.appendChild(option);\n",
+ " }\n",
+ "\n",
+ " var status_bar = document.createElement('span');\n",
+ " status_bar.classList = 'mpl-message';\n",
+ " toolbar.appendChild(status_bar);\n",
+ " this.message = status_bar;\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",
+ "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",
+ "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], msg['forward']);\n",
+ " fig.send_message('refresh', {});\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
+ " var x0 = msg['x0'] / fig.ratio;\n",
+ " var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
+ " var x1 = msg['x1'] / fig.ratio;\n",
+ " var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
+ " 0,\n",
+ " fig.canvas.width / fig.ratio,\n",
+ " fig.canvas.height / fig.ratio\n",
+ " );\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",
+ " fig.rubberband_canvas.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
+ " for (var key in msg) {\n",
+ " if (!(key in fig.buttons)) {\n",
+ " continue;\n",
+ " }\n",
+ " fig.buttons[key].disabled = !msg[key];\n",
+ " fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
+ " if (msg['mode'] === 'PAN') {\n",
+ " fig.buttons['Pan'].classList.add('active');\n",
+ " fig.buttons['Zoom'].classList.remove('active');\n",
+ " } else if (msg['mode'] === 'ZOOM') {\n",
+ " fig.buttons['Pan'].classList.remove('active');\n",
+ " fig.buttons['Zoom'].classList.add('active');\n",
+ " } else {\n",
+ " fig.buttons['Pan'].classList.remove('active');\n",
+ " fig.buttons['Zoom'].classList.remove('active');\n",
+ " }\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",
+ " var img = evt.data;\n",
+ " if (img.type !== 'image/png') {\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",
+ " img.type = 'image/png';\n",
+ " }\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",
+ "\n",
+ " fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
+ " img\n",
+ " );\n",
+ " fig.updated_canvas_event();\n",
+ " fig.waiting = false;\n",
+ " return;\n",
+ " } else if (\n",
+ " typeof evt.data === 'string' &&\n",
+ " evt.data.slice(0, 21) === 'data:image/png;base64'\n",
+ " ) {\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(\n",
+ " \"No handler for the '\" + msg_type + \"' message type: \",\n",
+ " msg\n",
+ " );\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(\n",
+ " \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
+ " e,\n",
+ " e.stack,\n",
+ " msg\n",
+ " );\n",
+ " }\n",
+ " }\n",
+ " };\n",
+ "};\n",
+ "\n",
+ "// from https://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",
+ " }\n",
+ " if (e.target) {\n",
+ " targ = e.target;\n",
+ " } else if (e.srcElement) {\n",
+ " targ = e.srcElement;\n",
+ " }\n",
+ " if (targ.nodeType === 3) {\n",
+ " // defeat Safari bug\n",
+ " targ = targ.parentNode;\n",
+ " }\n",
+ "\n",
+ " // pageX,Y are the mouse positions relative to the document\n",
+ " var boundingRect = targ.getBoundingClientRect();\n",
+ " var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
+ " var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
+ " * https://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",
+ " }\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",
+ " this.canvas.focus();\n",
+ " this.canvas_div.focus();\n",
+ " }\n",
+ "\n",
+ " var x = canvas_pos.x * this.ratio;\n",
+ " var y = canvas_pos.y * this.ratio;\n",
+ "\n",
+ " this.send_message(name, {\n",
+ " x: x,\n",
+ " y: y,\n",
+ " button: event.button,\n",
+ " step: event.step,\n",
+ " guiEvent: simpleKeys(event),\n",
+ " });\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",
+ " // Prevent repeat events\n",
+ " if (name === 'key_press') {\n",
+ " if (event.key === this._key) {\n",
+ " return;\n",
+ " } else {\n",
+ " this._key = event.key;\n",
+ " }\n",
+ " }\n",
+ " if (name === 'key_release') {\n",
+ " this._key = null;\n",
+ " }\n",
+ "\n",
+ " var value = '';\n",
+ " if (event.ctrlKey && event.key !== 'Control') {\n",
+ " value += 'ctrl+';\n",
+ " }\n",
+ " else if (event.altKey && event.key !== 'Alt') {\n",
+ " value += 'alt+';\n",
+ " }\n",
+ " else if (event.shiftKey && event.key !== 'Shift') {\n",
+ " value += 'shift+';\n",
+ " }\n",
+ "\n",
+ " value += 'k' + event.key;\n",
+ "\n",
+ " this._key_event_extra(event, name);\n",
+ "\n",
+ " this.send_message(name, { key: value, 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",
+ "\n",
+ "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
+ "// prettier-ignore\n",
+ "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
+ "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
+ "\n",
+ "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
+ "\n",
+ "mpl.default_extension = \"png\";/* global mpl */\n",
+ "\n",
+ "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.binaryType = comm.kernel.ws.binaryType;\n",
+ " ws.readyState = comm.kernel.ws.readyState;\n",
+ " function updateReadyState(_event) {\n",
+ " if (comm.kernel.ws) {\n",
+ " ws.readyState = comm.kernel.ws.readyState;\n",
+ " } else {\n",
+ " ws.readyState = 3; // Closed state.\n",
+ " }\n",
+ " }\n",
+ " comm.kernel.ws.addEventListener('open', updateReadyState);\n",
+ " comm.kernel.ws.addEventListener('close', updateReadyState);\n",
+ " comm.kernel.ws.addEventListener('error', updateReadyState);\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",
+ " var data = msg['content']['data'];\n",
+ " if (data['blob'] !== undefined) {\n",
+ " data = {\n",
+ " data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
+ " };\n",
+ " }\n",
+ " // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
+ " ws.onmessage(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 = document.getElementById(id);\n",
+ " var ws_proxy = comm_websocket_adapter(comm);\n",
+ "\n",
+ " function ondownload(figure, _format) {\n",
+ " window.open(figure.canvas.toDataURL());\n",
+ " }\n",
+ "\n",
+ " var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\n",
+ " fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
+ " if (!fig.cell_info) {\n",
+ " console.error('Failed to find cell for figure', id, fig);\n",
+ " return;\n",
+ " }\n",
+ " fig.cell_info[0].output_area.element.on(\n",
+ " 'cleared',\n",
+ " { fig: fig },\n",
+ " fig._remove_fig_handler\n",
+ " );\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
+ " var width = fig.canvas.width / fig.ratio;\n",
+ " fig.cell_info[0].output_area.element.off(\n",
+ " 'cleared',\n",
+ " fig._remove_fig_handler\n",
+ " );\n",
+ " fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
+ " '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\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 / this.ratio;\n",
+ " var dataURL = this.canvas.toDataURL();\n",
+ " this.cell_info[1]['text/html'] =\n",
+ " '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\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 () {\n",
+ " fig.push_to_output();\n",
+ " }, 1000);\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._init_toolbar = function () {\n",
+ " var fig = this;\n",
+ "\n",
+ " var toolbar = document.createElement('div');\n",
+ " toolbar.classList = 'btn-toolbar';\n",
+ " this.root.appendChild(toolbar);\n",
+ "\n",
+ " function on_click_closure(name) {\n",
+ " return function (_event) {\n",
+ " return fig.toolbar_button_onclick(name);\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " function on_mouseover_closure(tooltip) {\n",
+ " return function (event) {\n",
+ " if (!event.currentTarget.disabled) {\n",
+ " return fig.toolbar_button_onmouseover(tooltip);\n",
+ " }\n",
+ " };\n",
+ " }\n",
+ "\n",
+ " fig.buttons = {};\n",
+ " var buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'btn-group';\n",
+ " var button;\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",
+ " /* Instead of a spacer, we start a new button group. */\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ " buttonGroup = document.createElement('div');\n",
+ " buttonGroup.classList = 'btn-group';\n",
+ " continue;\n",
+ " }\n",
+ "\n",
+ " button = fig.buttons[name] = document.createElement('button');\n",
+ " button.classList = 'btn btn-default';\n",
+ " button.href = '#';\n",
+ " button.title = name;\n",
+ " button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
+ " button.addEventListener('click', on_click_closure(method_name));\n",
+ " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
+ " buttonGroup.appendChild(button);\n",
+ " }\n",
+ "\n",
+ " if (buttonGroup.hasChildNodes()) {\n",
+ " toolbar.appendChild(buttonGroup);\n",
+ " }\n",
+ "\n",
+ " // Add the status bar.\n",
+ " var status_bar = document.createElement('span');\n",
+ " status_bar.classList = 'mpl-message pull-right';\n",
+ " toolbar.appendChild(status_bar);\n",
+ " this.message = status_bar;\n",
+ "\n",
+ " // Add the close button to the window.\n",
+ " var buttongrp = document.createElement('div');\n",
+ " buttongrp.classList = 'btn-group inline pull-right';\n",
+ " button = document.createElement('button');\n",
+ " button.classList = 'btn btn-mini btn-primary';\n",
+ " button.href = '#';\n",
+ " button.title = 'Stop Interaction';\n",
+ " button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
+ " button.addEventListener('click', function (_evt) {\n",
+ " fig.handle_close(fig, {});\n",
+ " });\n",
+ " button.addEventListener(\n",
+ " 'mouseover',\n",
+ " on_mouseover_closure('Stop Interaction')\n",
+ " );\n",
+ " buttongrp.appendChild(button);\n",
+ " var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
+ " titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
+ " var fig = event.data.fig;\n",
+ " if (event.target !== this) {\n",
+ " // Ignore bubbled events from children.\n",
+ " return;\n",
+ " }\n",
+ " fig.close_ws(fig, {});\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._root_extra_style = function (el) {\n",
+ " el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
+ " // this is important to make the div 'focusable\n",
+ " el.setAttribute('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",
+ " } else {\n",
+ " // location in version 2\n",
+ " IPython.keyboard_manager.register_events(el);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
+ " // Check for shift+enter\n",
+ " if (event.shiftKey && event.which === 13) {\n",
+ " this.canvas_div.blur();\n",
+ " // select the cell after this one\n",
+ " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
+ " IPython.notebook.select(index + 1);\n",
+ " }\n",
+ "};\n",
+ "\n",
+ "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
+ " fig.ondownload(fig, null);\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 < ncells; i++) {\n",
+ " var cell = cells[i];\n",
+ " if (cell.cell_type === 'code') {\n",
+ " for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
+ " var data = cell.output_area.outputs[j];\n",
+ " if (data.data) {\n",
+ " // IPython >= 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(\n",
+ " 'matplotlib',\n",
+ " mpl.mpl_figure_comm\n",
+ " );\n",
+ "}\n"
+ ],
"text/plain": [
"<IPython.core.display.Javascript object>"
]
@@ -981,11 +2891,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -998,7 +2903,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-2-LilleDag.ipynb b/Demos/Demo-F-Uge-2-LilleDag.ipynb
index 2424269230fc1bcf7f0a7e63a4c5cffcd3b35194..263e4d1bbbca4f60a3f6a1a13b2b26f1c51d4308 100644
--- a/Demos/Demo-F-Uge-2-LilleDag.ipynb
+++ b/Demos/Demo-F-Uge-2-LilleDag.ipynb
@@ -1,308 +1,302 @@
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Intro til Keglesnit\n",
- "\n",
- "Demo af Christian Mikkelstrup og Hans Henrik Hermansen"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "from sympy import *\n",
- "init_printing()\n",
- "from dtumathtools import *"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Identifikation af et keglesnit\n",
- "\n",
- "Vi betragter en mængde $M$ af punkter i planen, der beskrives af ligningen\n",
- "\n",
- "$$\n",
- "11x^2 - 24 x y + 4 y^2 - 20 x + 40 y - 60 = 0\n",
- "$$\n",
- "\n",
- "Dette er en andengradsligning i to varaible. Den fremstiller et keglesnit, og vi er interesseret i, hvilket keglesnit det er. Det burde jo være lige til, da vi har en masse ligninger, der beskriver formen af de forskellige keglesnit, så vi burde bare kunne tjekke, hvilken der passer til vores ligning. Det er der bare ingen af dem, der gør, da vores ligning indeholder blandede led. Derfor er vi nødt til at lave et basisskifte.\n",
- "\n",
- "Vi opskriver ligningen på matrixform"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "x,y = symbols(\"x y\")\n",
- "var_vec = Matrix([x,y])\n",
- "lignM = Eq(11*x**2 - 24*x*y + 4*y**2 - 20*x + 40*y - 60,0)\n",
- "H = dtutools.hessian(lignM.lhs)\n",
- "A = S(1)/2 * H\n",
- "k = (var_vec.T * S(1)/2 * H * var_vec)[0].expand()\n",
- "l = (Matrix([-20,40]).T * var_vec)[0].expand()\n",
- "\n",
- "A,k,l, k + l - 60"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Det hele ser ud som forventet. Nu vil vi fjerne de blandede led. Dette gør vi ved at diagonalisere $A$. Først finder vi egenvektorerne:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "A.eigenvects()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Da $A$ er symmetrisk vil de to tilhørende egenvektor være ortogonale på hinanden.\n",
- "Vi finder en enhedsvektor i både $E_{20}$ og $E_{-5}$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "q1 = Matrix([S(3)/4,1])\n",
- "q2 = Matrix([-S(4)/3,1])\n",
- "q1 = q1.normalized() # Eller q1 = q1 / sqrt((q1.T * q1)[0])\n",
- "q2 = q2.normalized() # q2 = q2 / sqrt((q2.T * q2)[0])\n",
- "\n",
- "q1, q2"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Vi ved nu at matricen $[ q1 \\mid q2 ]$ er ortogonal. Det eneste vi skal sikre os er, at den er positiv ortogonal."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "Q = Matrix.hstack(q1,q2)\n",
- "Q.det()"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Det var den. Hvis ikke den var, kunne vi bare have byttet om på søjlerne, så vi havde fået $Q = [ q2 \\mid q1 ]$.\n",
- "\n",
- "Vi har et nyt koordinat system $(O,q1,q2)$, som svarer til en drejning af det givne koordinat system. Sammenhængen mellem de gamle koordinater $(x,y)=({}_e x,{}_e y)$ og de nye $({}_q x ,{}_q y)$ er\n",
- "$$\n",
- "\\begin{bmatrix} {}_e x \\\\ {}_e y \\end{bmatrix} = Q \\begin{bmatrix} {}_q x \\\\ {}_q y \\end{bmatrix}.\n",
- "$$\n",
- "da $Q = {}_e M_q$.\n",
- "\n",
- "Vi sætter $\\Lambda = \\begin{bmatrix} -5 & 0 \\\\ 0 & 20 \\end{bmatrix}$, og der skal så nu gælde\n",
- "$$\n",
- "Q ^ T A Q = \\Lambda.\n",
- "$$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "Lambda = Matrix([[-5,0],[0,20]])\n",
- "Eq(Lambda,Q.T * A * Q)"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Nu kan vi opstille vores ligning i det drejede koordinatsystem, hvor vi for nemhedsskyld omdøber $({}_q x ,{}_q y)$ til $(x_1 ,y_1)$."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "x1,y1 = symbols(\"x1 y1\")\n",
- "var_vec_1 = Matrix([x1,y1])\n",
- "lignM_1 = (var_vec_1.T * Q.T * A * Q * var_vec_1)[0] + (Matrix([-20,40]).T * Q * var_vec_1)[0] - 60\n",
- "Eq(lignM_1,0)\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Her bruger vi **kvadratkomplettering** til at omskrive ligningen til det følgende"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "-5*(x1-2)**2,expand(-5*(x1-2)**2), 20*(y1+1)**2,expand(20*(y1+1)**2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Vi kan her se, at de to konstanter, der opstår går ud med hinanden, så vi kan bare skrive de nye led direkte in i ligningen."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "lign = Eq((-5 * (x1 - 2) ** 2 + 20 * (y1 + 1) ** 2 - 60),0)\n",
- "lign"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "lign = Eq((lign.lhs + 60) / 60, (lign.rhs + 60) / 60)\n",
- "lign"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Dette er en hyperbel med halvakserne $\\sqrt{3}$ og $\\sqrt{12}$. Vi kan finde centrum i det givne koordinatsystem vha. basisskifte. Koordinaterne $(x_1,y_1)$ er = $(2,-1)$\n",
- "Vi finder dem for $(x,y)$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "Q * Matrix([2,-1])"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Nu er 1. aksen er linjen gennem hyperblens centrum med $e1$ som retningsvektor, og 2. aksen er linjen, der går gennem hyperblens centrum med $e2$ som retningsvektor.\n",
- "Asymptoterne er givet ved $y_1 + 1= \\pm \\frac{\\sqrt{3}}{\\sqrt{12}}(x_1 - 2) = \\pm \\frac{1}{2}(x_1-2)$\n",
- "\n",
- "Nu oversætter vi asymptoterne til det koordinatsystem."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "((Q * Matrix([S(1)/2,1])).T * var_vec)[0], ((Q * Matrix([-S(1)/2,1])).T * var_vec)[0] + 2"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "t = symbols(\"t\")\n",
- "M = dtuplot.plot_implicit(lignM,(x,-4,8),(y,-6,6),show=False,aspect=\"equal\",size=(6,6))\n",
- "sym1 = dtuplot.plot_parametric(2 + q1[0]*t,1 + q1[1]*t,(t,-20,20),show=False)\n",
- "sym2 = dtuplot.plot_parametric(2 + q2[0]*t,1 + q2[1]*t,(t,-20,20),show=False)\n",
- "asymp1 = dtuplot.plot_implicit(Eq(-x/S(2)+y,0),(x,-4,8),(y,-6,6),show=False)\n",
- "asymp2 = dtuplot.plot_implicit(Eq(-S(11)*x/10+y/S(5)+2,0),(x,-4,8),(y,-6,6),show=False)\n",
- "q1p = dtuplot.quiver(Matrix([2,1]),q1 * 2, rendering_kw={\"color\":\"black\"},show=False)\n",
- "q2p = dtuplot.quiver(Matrix([2,1]),q2 * 2, rendering_kw={\"color\":\"black\"},show=False)\n",
- "\n",
- "M.extend(sym1)\n",
- "M.extend(sym2)\n",
- "M.extend(asymp1)\n",
- "M.extend(asymp2)\n",
- "M.extend(q1p)\n",
- "M.extend(q2p)\n",
- "\n",
- "#fjern legend\n",
- "M.legend = False\n",
- "\n",
- "M.show()\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.10.6"
- },
- "orig_nbformat": 4,
- "vscode": {
- "interpreter": {
- "hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
- }
- }
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Intro til Keglesnit\n",
+ "\n",
+ "Demo af Christian Mikkelstrup og Hans Henrik Hermansen"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sympy import *\n",
+ "init_printing()\n",
+ "from dtumathtools import *"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Identifikation af et keglesnit\n",
+ "\n",
+ "Vi betragter en mængde $M$ af punkter i planen, der beskrives af ligningen\n",
+ "\n",
+ "$$\n",
+ "11x^2 - 24 x y + 4 y^2 - 20 x + 40 y - 60 = 0\n",
+ "$$\n",
+ "\n",
+ "Dette er en andengradsligning i to varaible. Den fremstiller et keglesnit, og vi er interesseret i, hvilket keglesnit det er. Det burde jo være lige til, da vi har en masse ligninger, der beskriver formen af de forskellige keglesnit, så vi burde bare kunne tjekke, hvilken der passer til vores ligning. Det er der bare ingen af dem, der gør, da vores ligning indeholder blandede led. Derfor er vi nødt til at lave et basisskifte.\n",
+ "\n",
+ "Vi opskriver ligningen på matrixform"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x,y = symbols(\"x y\")\n",
+ "var_vec = Matrix([x,y])\n",
+ "lignM = Eq(11*x**2 - 24*x*y + 4*y**2 - 20*x + 40*y - 60,0)\n",
+ "H = dtutools.hessian(lignM.lhs)\n",
+ "A = S(1)/2 * H\n",
+ "k = (var_vec.T * S(1)/2 * H * var_vec)[0].expand()\n",
+ "l = (Matrix([-20,40]).T * var_vec)[0].expand()\n",
+ "\n",
+ "A,k,l, k + l - 60"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Det hele ser ud som forventet. Nu vil vi fjerne de blandede led. Dette gør vi ved at diagonalisere $A$. Først finder vi egenvektorerne:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "A.eigenvects()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Da $A$ er symmetrisk vil de to tilhørende egenvektor være ortogonale på hinanden.\n",
+ "Vi finder en enhedsvektor i både $E_{20}$ og $E_{-5}$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "q1 = Matrix([S(3)/4,1])\n",
+ "q2 = Matrix([-S(4)/3,1])\n",
+ "q1 = q1.normalized() # Eller q1 = q1 / sqrt((q1.T * q1)[0])\n",
+ "q2 = q2.normalized() # q2 = q2 / sqrt((q2.T * q2)[0])\n",
+ "\n",
+ "q1, q2"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Vi ved nu at matricen $[ q1 \\mid q2 ]$ er ortogonal. Det eneste vi skal sikre os er, at den er positiv ortogonal."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "Q = Matrix.hstack(q1,q2)\n",
+ "Q.det()"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Det var den. Hvis ikke den var, kunne vi bare have byttet om på søjlerne, så vi havde fået $Q = [ q2 \\mid q1 ]$.\n",
+ "\n",
+ "Vi har et nyt koordinat system $(O,q1,q2)$, som svarer til en drejning af det givne koordinat system. Sammenhængen mellem de gamle koordinater $(x,y)=({}_e x,{}_e y)$ og de nye $({}_q x ,{}_q y)$ er\n",
+ "$$\n",
+ "\\begin{bmatrix} {}_e x \\\\ {}_e y \\end{bmatrix} = Q \\begin{bmatrix} {}_q x \\\\ {}_q y \\end{bmatrix}.\n",
+ "$$\n",
+ "da $Q = {}_e M_q$.\n",
+ "\n",
+ "Vi sætter $\\Lambda = \\begin{bmatrix} -5 & 0 \\\\ 0 & 20 \\end{bmatrix}$, og der skal så nu gælde\n",
+ "$$\n",
+ "Q ^ T A Q = \\Lambda.\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "Lambda = Matrix([[-5,0],[0,20]])\n",
+ "Eq(Lambda,Q.T * A * Q)"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Nu kan vi opstille vores ligning i det drejede koordinatsystem, hvor vi for nemhedsskyld omdøber $({}_q x ,{}_q y)$ til $(x_1 ,y_1)$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x1,y1 = symbols(\"x1 y1\")\n",
+ "var_vec_1 = Matrix([x1,y1])\n",
+ "lignM_1 = (var_vec_1.T * Q.T * A * Q * var_vec_1)[0] + (Matrix([-20,40]).T * Q * var_vec_1)[0] - 60\n",
+ "Eq(lignM_1,0)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Her bruger vi **kvadratkomplettering** til at omskrive ligningen til det følgende"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "-5*(x1-2)**2,expand(-5*(x1-2)**2), 20*(y1+1)**2,expand(20*(y1+1)**2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Vi kan her se, at de to konstanter, der opstår går ud med hinanden, så vi kan bare skrive de nye led direkte in i ligningen."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "lign = Eq((-5 * (x1 - 2) ** 2 + 20 * (y1 + 1) ** 2 - 60),0)\n",
+ "lign"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "lign = Eq((lign.lhs + 60) / 60, (lign.rhs + 60) / 60)\n",
+ "lign"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Dette er en hyperbel med halvakserne $\\sqrt{3}$ og $\\sqrt{12}$. Vi kan finde centrum i det givne koordinatsystem vha. basisskifte. Koordinaterne $(x_1,y_1)$ er = $(2,-1)$\n",
+ "Vi finder dem for $(x,y)$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "Q * Matrix([2,-1])"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Nu er 1. aksen er linjen gennem hyperblens centrum med $e1$ som retningsvektor, og 2. aksen er linjen, der går gennem hyperblens centrum med $e2$ som retningsvektor.\n",
+ "Asymptoterne er givet ved $y_1 + 1= \\pm \\frac{\\sqrt{3}}{\\sqrt{12}}(x_1 - 2) = \\pm \\frac{1}{2}(x_1-2)$\n",
+ "\n",
+ "Nu oversætter vi asymptoterne til det koordinatsystem."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "((Q * Matrix([S(1)/2,1])).T * var_vec)[0], ((Q * Matrix([-S(1)/2,1])).T * var_vec)[0] + 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "t = symbols(\"t\")\n",
+ "M = dtuplot.plot_implicit(lignM,(x,-4,8),(y,-6,6),show=False,aspect=\"equal\",size=(6,6))\n",
+ "sym1 = dtuplot.plot_parametric(2 + q1[0]*t,1 + q1[1]*t,(t,-20,20),show=False)\n",
+ "sym2 = dtuplot.plot_parametric(2 + q2[0]*t,1 + q2[1]*t,(t,-20,20),show=False)\n",
+ "asymp1 = dtuplot.plot_implicit(Eq(-x/S(2)+y,0),(x,-4,8),(y,-6,6),show=False)\n",
+ "asymp2 = dtuplot.plot_implicit(Eq(-S(11)*x/10+y/S(5)+2,0),(x,-4,8),(y,-6,6),show=False)\n",
+ "q1p = dtuplot.quiver(Matrix([2,1]),q1 * 2, rendering_kw={\"color\":\"black\"},show=False)\n",
+ "q2p = dtuplot.quiver(Matrix([2,1]),q2 * 2, rendering_kw={\"color\":\"black\"},show=False)\n",
+ "\n",
+ "M.extend(sym1)\n",
+ "M.extend(sym2)\n",
+ "M.extend(asymp1)\n",
+ "M.extend(asymp2)\n",
+ "M.extend(q1p)\n",
+ "M.extend(q2p)\n",
+ "\n",
+ "#fjern legend\n",
+ "M.legend = False\n",
+ "\n",
+ "M.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
},
- "nbformat": 4,
- "nbformat_minor": 2
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.10.6"
+ },
+ "vscode": {
+ "interpreter": {
+ "hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
+ }
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
}
diff --git a/Demos/Demo-F-Uge-2-StoreDag.ipynb b/Demos/Demo-F-Uge-2-StoreDag.ipynb
index c3bfd3da2db844aaf0698666d83240c3c288232a..fa2a7823e237165994c65aa42f7101b87c56237a 100644
--- a/Demos/Demo-F-Uge-2-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-2-StoreDag.ipynb
@@ -1,293 +1,287 @@
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Taylor i to variabler\n",
- "\n",
- "Demo af Christian Mikkelstrup og Hans Henrik Hermansen"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "from sympy import *\n",
- "init_printing()\n",
- "from dtumathtools import *"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Approksimerende polynomier\n",
- "Vi betragter følgende funktion af to variabler\n",
- "\n",
- "$$\n",
- "f(x,y) = \\sin(x^2 + y^2)\n",
- "$$\n",
- "\n",
- "Den er plottet herunder"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "x,y = symbols(\"x y\")\n",
- "f = sin(x ** 2 + y ** 2)\n",
- "dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),rendering_kw={\"color\" : \"blue\"})"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Lad os udregne det approksimerende 1. gradspolynomium i udviklingspunktet $(0,0)$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "P1 = dtutools.taylor(f,[x,0,y,0],degree=2)\n",
- "P1"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "p = dtuplot.plot3d(P1,(x,-1.5,1.5),(y,-1.5,1.5),show=false,rendering_kw={\"alpha\" : 0.5},camera={\"azim\":-81,\"elev\":18})\n",
- "p.extend(dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),show=False))\n",
- "p.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Her kan vi se at $P1$ ligger i $(x,y)$ planen. \n",
- "\n",
- "Lad os se hvordan det approksimerende 2. gradspolynomium ser ud."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "P2 = dtutools.taylor(f,[x,0,y,0],3)\n",
- "P2"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "dtuplot.plot3d(f,P2,(x,-1.5,1.5),(y,-1.5,1.5))"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Denne gang er det approksimerende polynomium en elliptisk parabloide.\n",
- "Lad os til sidst prøve at se hvordan, det approksimerende 6. gradspolyniom ser ud."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "P6 = dtutools.taylor(f,[x,0,y,0],7)\n",
- "p = dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),show=False)\n",
- "p.legend=True\n",
- "p.show()\n"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Som forventet ligger de nu meget tættere på hinanden.\n",
- "Lad os undersøge fejlen for de polynomier i nogle forskellige punkter for at se, hvor godt de passer.\n",
- "Lad starte med $(0.2,0.2)$."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "f_p1 = f.subs([(x,1/5),(y,1/5)])\n",
- "P1_p1 = P1.subs([(x,1/5),(y,1/5)])\n",
- "P2_p1 = P2.subs([(x,1/5),(y,1/5)])\n",
- "P6_p1 = P6.subs([(x,1/5),(y,1/5)])\n",
- "\n",
- "f_p1 - P1_p1, f_p1 - P2_p1, f_p1 - P6_p1"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Det hele ser rigtigt ud. Fejlen er meget mindre for de approksimerende polynomier af højere grad.\n",
- "Lad os prøve med $(0.5,0.5)$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "f_p2 = f.subs([(x,1/2),(y,1/2)])\n",
- "P1_p2 = P1.subs([(x,1/2),(y,1/2)])\n",
- "P2_p2 = P2.subs([(x,1/2),(y,1/2)])\n",
- "P6_p2 = P6.subs([(x,1/2),(y,1/2)])\n",
- "\n",
- "f_p2 - P1_p2, f_p2 - P2_p2, f_p2 - P6_p2"
- ]
- },
- {
- "attachments": {},
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Jo længere væk vi kommer fra udviklingspunktet $(0,0)$ jo større fejl må vi forvente. \n",
- "\n",
- "(Det skal nævnes, at vores sammenligninger baserer sig på antagelsen om, at SymPy's egne approksimeringer er bedre end vores. Det er nok en ret god antagelse i det her tilfælde, men det er vigtigt at vide, at SymPy, Maple og alle andre computerredskaber også approksimerer.)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Andengradspolynomium på matrixform"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Vi betragter følgende 2. gradspolynomium af tre variable\n",
- "\n",
- "$$\n",
- "f(x,y,z) = 7x^2 - 4xy + 6y^2 - 4yz + 5z^2 - 2x + 20y -10z\n",
- "$$\n",
- "\n",
- "De første fem led i $f$ udgør en **kvadratisk form** $k$. Altså de led i $f$, der enten består af kvadratiske eller blandede produkter.\n",
- "For at opskrive $k$ på matrix form skal beregne $f$'s Hessematrix. For at gøre dette opretter vi igen en hjælpefunktion med noget python magi, der gør det nemmere fremover."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "z = symbols(\"z\")\n",
- "f = 7*x**2 - 4*x*y + 6*y**2 - 4*y*z + 5*z**2 - 2*x + 20*y - 10*z\n",
- "H = dtutools.hessian(f)\n",
- "H"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Udfra vores Hessematrix $H$ kan vi nu opskrive $k$ på matrixform på følgende måde\n",
- "\n",
- "$$\n",
- "A = \\frac{1}{2} H \\\\\n",
- "k = \\begin{bmatrix} x & y & z \\end{bmatrix} A \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix}\n",
- "$$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "var_vec = Matrix([x,y,z])\n",
- "A = S(1)/2 * H\n",
- "k = (var_vec.T * A * var_vec)[0].expand()\n",
- "k"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "De led i $f$, der ikke tilhører $k$, kan opskrives som følgende matrix\n",
- "\n",
- "$$\n",
- "\\begin{bmatrix} -2 & 20 & -10 \\end{bmatrix}\n",
- "$$\n",
- "\n",
- "Nu kan vi så opskrive hele $f$ på matrix form\n",
- "\n",
- "$$\n",
- "f(x,y,z) = \\begin{bmatrix} x & y & z \\end{bmatrix} A \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix} + \\begin{bmatrix} -2 & 20 & -10 \\end{bmatrix} \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix}\n",
- "$$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "f_matrix = k + (Matrix([-2,20,-10]).T * var_vec)[0]\n",
- "f_matrix"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.10.6 (main, Aug 10 2022, 11:40:04) [GCC 11.3.0]"
- },
- "orig_nbformat": 4,
- "vscode": {
- "interpreter": {
- "hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
- }
- }
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Taylor i to variabler\n",
+ "\n",
+ "Demo af Christian Mikkelstrup og Hans Henrik Hermansen"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sympy import *\n",
+ "init_printing()\n",
+ "from dtumathtools import *"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Approksimerende polynomier\n",
+ "Vi betragter følgende funktion af to variabler\n",
+ "\n",
+ "$$\n",
+ "f(x,y) = \\sin(x^2 + y^2)\n",
+ "$$\n",
+ "\n",
+ "Den er plottet herunder"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x,y = symbols(\"x y\")\n",
+ "f = sin(x ** 2 + y ** 2)\n",
+ "dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),rendering_kw={\"color\" : \"blue\"})"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Lad os udregne det approksimerende 1. gradspolynomium i udviklingspunktet $(0,0)$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "P1 = dtutools.taylor(f,[x,0,y,0],degree=2)\n",
+ "P1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "p = dtuplot.plot3d(P1,(x,-1.5,1.5),(y,-1.5,1.5),show=false,rendering_kw={\"alpha\" : 0.5},camera={\"azim\":-81,\"elev\":18})\n",
+ "p.extend(dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),show=False))\n",
+ "p.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Her kan vi se at $P1$ ligger i $(x,y)$ planen. \n",
+ "\n",
+ "Lad os se hvordan det approksimerende 2. gradspolynomium ser ud."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "P2 = dtutools.taylor(f,[x,0,y,0],3)\n",
+ "P2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "dtuplot.plot3d(f,P2,(x,-1.5,1.5),(y,-1.5,1.5))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Denne gang er det approksimerende polynomium en elliptisk parabloide.\n",
+ "Lad os til sidst prøve at se hvordan, det approksimerende 6. gradspolyniom ser ud."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "P6 = dtutools.taylor(f,[x,0,y,0],7)\n",
+ "p = dtuplot.plot3d(f,(x,-1.5,1.5),(y,-1.5,1.5),show=False)\n",
+ "p.legend=True\n",
+ "p.show()\n"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Som forventet ligger de nu meget tættere på hinanden.\n",
+ "Lad os undersøge fejlen for de polynomier i nogle forskellige punkter for at se, hvor godt de passer.\n",
+ "Lad starte med $(0.2,0.2)$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "f_p1 = f.subs([(x,1/5),(y,1/5)])\n",
+ "P1_p1 = P1.subs([(x,1/5),(y,1/5)])\n",
+ "P2_p1 = P2.subs([(x,1/5),(y,1/5)])\n",
+ "P6_p1 = P6.subs([(x,1/5),(y,1/5)])\n",
+ "\n",
+ "f_p1 - P1_p1, f_p1 - P2_p1, f_p1 - P6_p1"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Det hele ser rigtigt ud. Fejlen er meget mindre for de approksimerende polynomier af højere grad.\n",
+ "Lad os prøve med $(0.5,0.5)$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "f_p2 = f.subs([(x,1/2),(y,1/2)])\n",
+ "P1_p2 = P1.subs([(x,1/2),(y,1/2)])\n",
+ "P2_p2 = P2.subs([(x,1/2),(y,1/2)])\n",
+ "P6_p2 = P6.subs([(x,1/2),(y,1/2)])\n",
+ "\n",
+ "f_p2 - P1_p2, f_p2 - P2_p2, f_p2 - P6_p2"
+ ]
+ },
+ {
+ "attachments": {},
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Jo længere væk vi kommer fra udviklingspunktet $(0,0)$ jo større fejl må vi forvente. \n",
+ "\n",
+ "(Det skal nævnes, at vores sammenligninger baserer sig på antagelsen om, at SymPy's egne approksimeringer er bedre end vores. Det er nok en ret god antagelse i det her tilfælde, men det er vigtigt at vide, at SymPy, Maple og alle andre computerredskaber også approksimerer.)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Andengradspolynomium på matrixform"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Vi betragter følgende 2. gradspolynomium af tre variable\n",
+ "\n",
+ "$$\n",
+ "f(x,y,z) = 7x^2 - 4xy + 6y^2 - 4yz + 5z^2 - 2x + 20y -10z\n",
+ "$$\n",
+ "\n",
+ "De første fem led i $f$ udgør en **kvadratisk form** $k$. Altså de led i $f$, der enten består af kvadratiske eller blandede produkter.\n",
+ "For at opskrive $k$ på matrix form skal beregne $f$'s Hessematrix. For at gøre dette opretter vi igen en hjælpefunktion med noget python magi, der gør det nemmere fremover."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "z = symbols(\"z\")\n",
+ "f = 7*x**2 - 4*x*y + 6*y**2 - 4*y*z + 5*z**2 - 2*x + 20*y - 10*z\n",
+ "H = dtutools.hessian(f)\n",
+ "H"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Udfra vores Hessematrix $H$ kan vi nu opskrive $k$ på matrixform på følgende måde\n",
+ "\n",
+ "$$\n",
+ "A = \\frac{1}{2} H \\\\\n",
+ "k = \\begin{bmatrix} x & y & z \\end{bmatrix} A \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "var_vec = Matrix([x,y,z])\n",
+ "A = S(1)/2 * H\n",
+ "k = (var_vec.T * A * var_vec)[0].expand()\n",
+ "k"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "De led i $f$, der ikke tilhører $k$, kan opskrives som følgende matrix\n",
+ "\n",
+ "$$\n",
+ "\\begin{bmatrix} -2 & 20 & -10 \\end{bmatrix}\n",
+ "$$\n",
+ "\n",
+ "Nu kan vi så opskrive hele $f$ på matrix form\n",
+ "\n",
+ "$$\n",
+ "f(x,y,z) = \\begin{bmatrix} x & y & z \\end{bmatrix} A \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix} + \\begin{bmatrix} -2 & 20 & -10 \\end{bmatrix} \\begin{bmatrix} x \\\\ y \\\\ z \\end{bmatrix}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "f_matrix = k + (Matrix([-2,20,-10]).T * var_vec)[0]\n",
+ "f_matrix"
+ ]
+ }
+ ],
+ "metadata": {
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
},
- "nbformat": 4,
- "nbformat_minor": 2
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.10.6 (main, Aug 10 2022, 11:40:04) [GCC 11.3.0]"
+ },
+ "vscode": {
+ "interpreter": {
+ "hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
+ }
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
}
diff --git a/Demos/Demo-F-Uge-3-StoreDag.ipynb b/Demos/Demo-F-Uge-3-StoreDag.ipynb
index ab9e6ff915c7fa6c5bc39e10052144aa7e644d69..812eb7f773ff7f6b8fa343b08004e7882ce55afa 100644
--- a/Demos/Demo-F-Uge-3-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-3-StoreDag.ipynb
@@ -563,11 +563,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -580,7 +575,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-4-StoreDag.ipynb b/Demos/Demo-F-Uge-4-StoreDag.ipynb
index 7a8c6837f1fbe32fe5d7816cb4eb3a877adcdb2a..532e0e5472f8ca517afb7301d81124165540f920 100644
--- a/Demos/Demo-F-Uge-4-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-4-StoreDag.ipynb
@@ -393,11 +393,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -410,7 +405,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-5-LilleDag.ipynb b/Demos/Demo-F-Uge-5-LilleDag.ipynb
index 8333b041976dc57ee317391f67201c9bfd735760..880d250ddf2202c87981e36f6f45a69c2405ab04 100644
--- a/Demos/Demo-F-Uge-5-LilleDag.ipynb
+++ b/Demos/Demo-F-Uge-5-LilleDag.ipynb
@@ -637,11 +637,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "Python 3.10.6 64-bit",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -654,7 +649,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
diff --git a/Demos/Demo-F-Uge-5-StoreDag.ipynb b/Demos/Demo-F-Uge-5-StoreDag.ipynb
index ca2e4dab4bd7a9cc6f60501eaf6ab58e73706258..a706e3c5e967cf419d2beac06fb54bc2ead45b1d 100644
--- a/Demos/Demo-F-Uge-5-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-5-StoreDag.ipynb
@@ -476,11 +476,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "mat1-pilot"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -493,7 +488,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
diff --git a/Demos/Demo-F-Uge-6-StoreDag.ipynb b/Demos/Demo-F-Uge-6-StoreDag.ipynb
index 8f5a1484b9a8da263c662b3a6f184817548eae6f..972e318dea866985fb921b53334d9aae1b012bf9 100644
--- a/Demos/Demo-F-Uge-6-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-6-StoreDag.ipynb
@@ -357,11 +357,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "mat1-pilot"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -374,7 +369,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
diff --git a/Demos/Demo-F-Uge-7-LilleDag.ipynb b/Demos/Demo-F-Uge-7-LilleDag.ipynb
index 4c0607caf45e87ac85bebedfd6e848db4b48e522..c07eedf08fe5dcf46cc0d62084722076e7af1909 100644
--- a/Demos/Demo-F-Uge-7-LilleDag.ipynb
+++ b/Demos/Demo-F-Uge-7-LilleDag.ipynb
@@ -263,11 +263,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "mat1-pilot"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -280,7 +275,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
diff --git a/Demos/Demo-F-Uge-7-StoreDag.ipynb b/Demos/Demo-F-Uge-7-StoreDag.ipynb
index 747f15a7cbdb96a6fb1e552d47455ead1d880e16..f9348eb9d262a46d29f8f99fa8b4f7cbb0a54992 100644
--- a/Demos/Demo-F-Uge-7-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-7-StoreDag.ipynb
@@ -348,11 +348,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "mat1-pilot"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -365,7 +360,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
diff --git a/Demos/Demo-F-Uge-8-StoreDag.ipynb b/Demos/Demo-F-Uge-8-StoreDag.ipynb
index 01bbd526e726fde4aa62cb949f46f61d1fa1bcae..5d1ae4083e10b18ac2327e313c565bef5e4bfbc8 100644
--- a/Demos/Demo-F-Uge-8-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-8-StoreDag.ipynb
@@ -639,11 +639,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -656,7 +651,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/Demos/Demo-F-Uge-9-StoreDag.ipynb b/Demos/Demo-F-Uge-9-StoreDag.ipynb
index a9b1163e9c697a7603a96541d6071539084baba4..894eae80b17fe354073d9ba782b3a2f4fc6771e8 100644
--- a/Demos/Demo-F-Uge-9-StoreDag.ipynb
+++ b/Demos/Demo-F-Uge-9-StoreDag.ipynb
@@ -401,11 +401,6 @@
}
],
"metadata": {
- "kernelspec": {
- "display_name": "mat1-pilot",
- "language": "python",
- "name": "python3"
- },
"language_info": {
"codemirror_mode": {
"name": "ipython",
@@ -418,7 +413,6 @@
"pygments_lexer": "ipython3",
"version": "3.10.6"
},
- "orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "0ba7452ab71c50cb9c4d5c0b7e104e5d7d626d39ddaf30384c30e1499f7a54e3"
diff --git a/old_readme.txt b/old_readme.txt
new file mode 100644
index 0000000000000000000000000000000000000000..184f2e2516f29da5c929144ab00ee73c6d7f082d
--- /dev/null
+++ b/old_readme.txt
@@ -0,0 +1,87 @@
+
+To make it easy for you to get started with GitLab, here's a list of recommended next steps.
+
+Already a pro? Just edit this README.md and make it your own. Want to make it easy? [Use the template at the bottom](#editing-this-readme)!
+
+## Add your files
+
+- [ ] [Create](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#create-a-file) or [upload](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#upload-a-file) files
+- [ ] [Add files using the command line](https://docs.gitlab.com/ee/gitlab-basics/add-file.html#add-a-file-using-the-command-line) or push an existing Git repository with the following command:
+
+```
+cd existing_repo
+git remote add origin https://lab.compute.dtu.dk/jakle/python-and-sympy.git
+git branch -M main
+git push -uf origin main
+```
+
+## Integrate with your tools
+
+- [ ] [Set up project integrations](https://lab.compute.dtu.dk/jakle/python-and-sympy/-/settings/integrations)
+
+## Collaborate with your team
+
+- [ ] [Invite team members and collaborators](https://docs.gitlab.com/ee/user/project/members/)
+- [ ] [Create a new merge request](https://docs.gitlab.com/ee/user/project/merge_requests/creating_merge_requests.html)
+- [ ] [Automatically close issues from merge requests](https://docs.gitlab.com/ee/user/project/issues/managing_issues.html#closing-issues-automatically)
+- [ ] [Enable merge request approvals](https://docs.gitlab.com/ee/user/project/merge_requests/approvals/)
+- [ ] [Automatically merge when pipeline succeeds](https://docs.gitlab.com/ee/user/project/merge_requests/merge_when_pipeline_succeeds.html)
+
+## Test and Deploy
+
+Use the built-in continuous integration in GitLab.
+
+- [ ] [Get started with GitLab CI/CD](https://docs.gitlab.com/ee/ci/quick_start/index.html)
+- [ ] [Analyze your code for known vulnerabilities with Static Application Security Testing(SAST)](https://docs.gitlab.com/ee/user/application_security/sast/)
+- [ ] [Deploy to Kubernetes, Amazon EC2, or Amazon ECS using Auto Deploy](https://docs.gitlab.com/ee/topics/autodevops/requirements.html)
+- [ ] [Use pull-based deployments for improved Kubernetes management](https://docs.gitlab.com/ee/user/clusters/agent/)
+- [ ] [Set up protected environments](https://docs.gitlab.com/ee/ci/environments/protected_environments.html)
+
+***
+
+# Editing this README
+
+When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thank you to [makeareadme.com](https://www.makeareadme.com/) for this template.
+
+## Suggestions for a good README
+Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
+
+## Name
+Choose a self-explaining name for your project.
+
+## Description
+Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
+
+## Badges
+On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
+
+## Visuals
+Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
+
+## Installation
+Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
+
+## Usage
+Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
+
+## Support
+Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
+
+## Roadmap
+If you have ideas for releases in the future, it is a good idea to list them in the README.
+
+## Contributing
+State if you are open to contributions and what your requirements are for accepting them.
+
+For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
+
+You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
+
+## Authors and acknowledgment
+Show your appreciation to those who have contributed to the project.
+
+## License
+For open source projects, say how it is licensed.
+
+## Project status
+If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.