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This is mostly or wholly superseded by what Mauricio del Razo has done: http://nbviewer.ipython.org/github/maojrs/ipynotebooks/blob/master/PPlane_GUI.ipynb
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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:c5144cde0e5bdec2db07dc7b2559987ef29259bcb58f005c6980008cd5f58a19" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt\n", | |
"from clawpack import riemann\n", | |
"import numpy as np" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Riemann solver animation\n", | |
"The next cell sets up a function that takes a Riemann problem (left state, right state, and approximate solver) and animates the approximate solution." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from matplotlib import animation\n", | |
"from clawpack.visclaw.JSAnimation import IPython_display\n", | |
"\n", | |
"def riemann_solution(num_eqn,solver,q_l,q_r,aux_l=None,aux_r=None,t=0.2,problem_data=None):\n", | |
" if aux_l is None:\n", | |
" aux_l = np.zeros(num_eqn)\n", | |
" if aux_r is None:\n", | |
" aux_r = np.zeros(num_eqn)\n", | |
" \n", | |
" wave, s, amdq, apdq = solver(q_l.reshape((num_eqn,1)),q_r.reshape((num_eqn,1)),\n", | |
" aux_l.reshape((num_eqn,1)),aux_r.reshape((num_eqn,1)),problem_data)\n", | |
" \n", | |
" x = np.linspace(-1.,1.,1000)\n", | |
" \n", | |
" states = [q_l]\n", | |
" for i in range(len(s)):\n", | |
" states.append(states[-1] + np.squeeze(wave[:,i,0]))\n", | |
" \n", | |
" fig = plt.figure(figsize=(18,6))\n", | |
" axes = [0]*num_eqn\n", | |
" lines = [0]*num_eqn\n", | |
" for i in range(num_eqn):\n", | |
" axes[i] = fig.add_subplot(1,num_eqn,i+1)\n", | |
" lines[i], = plt.plot(x,0*x,lw=2)\n", | |
" axes[i].set_xlim((-1,1))\n", | |
" qmax = max([state[i] for state in states])\n", | |
" qmin = min([state[i] for state in states])\n", | |
" qdiff = qmax - qmin\n", | |
" axes[i].set_ylim((qmin-0.1*qdiff,qmax+0.1*qdiff))\n", | |
" plt.title('q['+str(i)+']')\n", | |
" \n", | |
" if num_eqn == 2:\n", | |
" q0 = np.array([state[0] for state in states])\n", | |
" q1 = np.array([state[1] for state in states])\n", | |
" fig2 = plt.figure()\n", | |
" plt.plot(q0,q1,'o-k')\n", | |
" plt.title('phase plane')\n", | |
" plt.axis('equal')\n", | |
" \n", | |
" def fplot(t):\n", | |
" q = np.outer(states[0],(x<t*s[0]))\n", | |
" \n", | |
" for i in range(len(s)-1):\n", | |
" q = q + np.outer(states[i+1],(x>=t*s[i])*(x<t*s[i+1]))\n", | |
" q = q + np.outer(states[-1],(x>s[-1]*t))\n", | |
" \n", | |
" for i in range(num_eqn):\n", | |
" lines[i].set_data(x,q[i,:])\n", | |
" \n", | |
" return lines,\n", | |
" \n", | |
" return animation.FuncAnimation(fig, fplot, frames=np.linspace(0.,1.,11), interval=300)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Acoustics: exact solution\n", | |
"We can use this to examine the exact solution of an acoustics Riemann problem:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"solver = riemann.acoustics_1D_py.acoustics_1D\n", | |
"num_eqn = riemann.acoustics_1D_py.num_eqn\n", | |
"\n", | |
"q_l = np.array((1,4))\n", | |
"q_r = np.array((3,7))\n", | |
"\n", | |
"problem_data = {}\n", | |
"problem_data['zz'] = 1.0\n", | |
"problem_data['cc'] = 1.0\n", | |
"\n", | |
"riemann_solution(num_eqn,solver,q_l,q_r,problem_data=problem_data)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"html": [ | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Define the Animation class */\n", | |
" function Animation(frames, img_id, slider_id, frame_id, interval, loop_select_id){\n", | |
" this.img_id = img_id;\n", | |
" this.slider_id = slider_id;\n", | |
" this.frame_id = frame_id;\n", | |
" this.loop_select_id = loop_select_id;\n", | |
" this.interval = interval;\n", | |
" this.current_frame = 0;\n", | |
" this.direction = 0;\n", | |
" this.timer = null;\n", | |
" this.frames = new Array(frames.length);\n", | |
"\n", | |
" for (var i=0; i<frames.length; i++)\n", | |
" {\n", | |
" this.frames[i] = new Image();\n", | |
" this.frames[i].src = frames[i];\n", | |
" }\n", | |
" document.getElementById(this.slider_id).max = this.frames.length - 1;\n", | |
" this.set_frame(this.current_frame);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.get_loop_state = function(){\n", | |
" var button_group = document[this.loop_select_id].state;\n", | |
" for (var i = 0; i < button_group.length; i++) {\n", | |
" var button = button_group[i];\n", | |
" if (button.checked) {\n", | |
" return button.value;\n", | |
" }\n", | |
" }\n", | |
" return undefined;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.set_frame = function(frame){\n", | |
" this.current_frame = frame;\n", | |
" document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\n", | |
" document.getElementById(this.slider_id).value = this.current_frame;\n", | |
" document.getElementById(this.frame_id).value = this.current_frame;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.next_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.previous_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.max(0, this.current_frame - 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.first_frame = function()\n", | |
" {\n", | |
" this.set_frame(0);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.last_frame = function()\n", | |
" {\n", | |
" this.set_frame(this.frames.length - 1);\n", | |
" } \n", | |
"\n", | |
" Animation.prototype.slower = function()\n", | |
" {\n", | |
" this.interval /= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.faster = function()\n", | |
" {\n", | |
" this.interval *= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_forward = function()\n", | |
" {\n", | |
" this.current_frame += 1;\n", | |
" if(this.current_frame < this.frames.length){\n", | |
" this.set_frame(this.current_frame);\n", | |
" }else{\n", | |
" var loop_state = this.get_loop_state();\n", | |
" if(loop_state == \"loop\"){\n", | |
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" }else if(loop_state == \"reflect\"){\n", | |
" this.last_frame();\n", | |
" this.reverse_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.last_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_reverse = function()\n", | |
" {\n", | |
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" if(this.current_frame >= 0){\n", | |
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" if(loop_state == \"loop\"){\n", | |
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" }else if(loop_state == \"reflect\"){\n", | |
" this.first_frame();\n", | |
" this.play_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.first_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.pause_animation = function()\n", | |
" {\n", | |
" this.direction = 0;\n", | |
" if (this.timer){\n", | |
" clearInterval(this.timer);\n", | |
" this.timer = null;\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.play_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = 1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.reverse_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = -1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n", | |
" }\n", | |
"</script>\n", | |
"\n", | |
"<div class=\"animation\" align=\"center\">\n", | |
" <img id=\"_anim_img47c19fc4496dd862\" style=\"width:Nonepx\">\n", | |
" <br>\n", | |
" <input id=\"_anim_slider47c19fc4496dd862\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"anim47c19fc4496dd862.set_frame(parseInt(this.value));\"></input>\n", | |
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" <button onclick=\"anim47c19fc4496dd862.faster()\">+</button>\n", | |
" <form action=\"#n\" name=\"_anim_loop_select47c19fc4496dd862\" class=\"anim_control\">\n", | |
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" \n", | |
" <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n", | |
" </form>\n", | |
"\n", | |
"</div>\n", | |
"\n", | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Instantiate the Animation class. */\n", | |
" /* The IDs given should match those used in the template above. */\n", | |
" (function() {\n", | |
" var img_id = \"_anim_img47c19fc4496dd862\";\n", | |
" var slider_id = \"_anim_slider47c19fc4496dd862\";\n", | |
" var frame_id = \"_frame_no47c19fc4496dd862\"\n", | |
" var loop_select_id = \"_anim_loop_select47c19fc4496dd862\";\n", | |
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" \n", | |
" frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABRAAAAGwCAYAAADRz0l5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n", | |
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"\"\n", | |
"\n", | |
"\n", | |
" /* set a timeout to make sure all the above elements are created before\n", | |
" the object is initialized. */\n", | |
" setTimeout(function() {\n", | |
" anim47c19fc4496dd862 = new Animation(frames, img_id, slider_id, frame_id, 300, loop_select_id);\n", | |
" }, 0);\n", | |
" })()\n", | |
"</script>\n" | |
], | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 3, | |
"text": [ | |
"<matplotlib.animation.FuncAnimation at 0x1021ba090>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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HFgKbgMeBDxPO8hXT2rVrufLKKxkbGztw2+zZs9m3b1+KU0nKs6nW3C8CniKspbc7O38A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\nQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x106b886d0>" | |
] | |
} | |
], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Euler: approximate solutions\n", | |
"We can also easily compare the approximate solutions given by, say, a Roe solver and an HLL solver for the Euler equations." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"solver = riemann.euler_1D_py.euler_roe_1D\n", | |
"num_eqn = riemann.euler_1D_py.num_eqn\n", | |
"\n", | |
"q_l = np.array((3.,0.,3.))\n", | |
"q_r = np.array((1.,0.,1.5))\n", | |
"\n", | |
"problem_data = {}\n", | |
"problem_data['gamma'] = 1.4\n", | |
"problem_data['gamma1'] = 1.4-1.0\n", | |
"problem_data['efix'] = False\n", | |
"\n", | |
"riemann_solution(num_eqn,solver,q_l,q_r,problem_data=problem_data)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"html": [ | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Define the Animation class */\n", | |
" function Animation(frames, img_id, slider_id, frame_id, interval, loop_select_id){\n", | |
" this.img_id = img_id;\n", | |
" this.slider_id = slider_id;\n", | |
" this.frame_id = frame_id;\n", | |
" this.loop_select_id = loop_select_id;\n", | |
" this.interval = interval;\n", | |
" this.current_frame = 0;\n", | |
" this.direction = 0;\n", | |
" this.timer = null;\n", | |
" this.frames = new Array(frames.length);\n", | |
"\n", | |
" for (var i=0; i<frames.length; i++)\n", | |
" {\n", | |
" this.frames[i] = new Image();\n", | |
" this.frames[i].src = frames[i];\n", | |
" }\n", | |
" document.getElementById(this.slider_id).max = this.frames.length - 1;\n", | |
" this.set_frame(this.current_frame);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.get_loop_state = function(){\n", | |
" var button_group = document[this.loop_select_id].state;\n", | |
" for (var i = 0; i < button_group.length; i++) {\n", | |
" var button = button_group[i];\n", | |
" if (button.checked) {\n", | |
" return button.value;\n", | |
" }\n", | |
" }\n", | |
" return undefined;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.set_frame = function(frame){\n", | |
" this.current_frame = frame;\n", | |
" document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\n", | |
" document.getElementById(this.slider_id).value = this.current_frame;\n", | |
" document.getElementById(this.frame_id).value = this.current_frame;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.next_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.previous_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.max(0, this.current_frame - 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.first_frame = function()\n", | |
" {\n", | |
" this.set_frame(0);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.last_frame = function()\n", | |
" {\n", | |
" this.set_frame(this.frames.length - 1);\n", | |
" } \n", | |
"\n", | |
" Animation.prototype.slower = function()\n", | |
" {\n", | |
" this.interval /= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.faster = function()\n", | |
" {\n", | |
" this.interval *= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_forward = function()\n", | |
" {\n", | |
" this.current_frame += 1;\n", | |
" if(this.current_frame < this.frames.length){\n", | |
" this.set_frame(this.current_frame);\n", | |
" }else{\n", | |
" var loop_state = this.get_loop_state();\n", | |
" if(loop_state == \"loop\"){\n", | |
" this.first_frame();\n", | |
" }else if(loop_state == \"reflect\"){\n", | |
" this.last_frame();\n", | |
" this.reverse_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.last_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_reverse = function()\n", | |
" {\n", | |
" this.current_frame -= 1;\n", | |
" if(this.current_frame >= 0){\n", | |
" this.set_frame(this.current_frame);\n", | |
" }else{\n", | |
" var loop_state = this.get_loop_state();\n", | |
" if(loop_state == \"loop\"){\n", | |
" this.last_frame();\n", | |
" }else if(loop_state == \"reflect\"){\n", | |
" this.first_frame();\n", | |
" this.play_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.first_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.pause_animation = function()\n", | |
" {\n", | |
" this.direction = 0;\n", | |
" if (this.timer){\n", | |
" clearInterval(this.timer);\n", | |
" this.timer = null;\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.play_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = 1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.reverse_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = -1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n", | |
" }\n", | |
"</script>\n", | |
"\n", | |
"<div class=\"animation\" align=\"center\">\n", | |
" <img id=\"_anim_imgf150eb2a6562f67e\" style=\"width:Nonepx\">\n", | |
" <br>\n", | |
" <input id=\"_anim_sliderf150eb2a6562f67e\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"animf150eb2a6562f67e.set_frame(parseInt(this.value));\"></input>\n", | |
" <br>\n", | |
" \n", | |
" <button onclick=\"animf150eb2a6562f67e.slower()\">–</button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.first_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"rV+/blxKMZUnLgAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.previous_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.reverse_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"RK5CYII=\n", | |
"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.pause_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"AABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.play_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"Rpcle+Mf8wvgJ16zo/4BtQAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.next_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.last_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"FnSONdiL8Qci0lzwpOM5sQAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"animf150eb2a6562f67e.faster()\">+</button>\n", | |
" <form action=\"#n\" name=\"_anim_loop_selectf150eb2a6562f67e\" class=\"anim_control\">\n", | |
"\n", | |
" <input id=\"_frame_nof150eb2a6562f67e\" type=\"textbox\" size=\"1\" onchange=\"animf150eb2a6562f67e.set_frame(parseInt(this.value));\" onpaste=\"this.onchange();\" oninput=\"this.onchange();\"></input>\n", | |
" \n", | |
" <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n", | |
" </form>\n", | |
"\n", | |
"</div>\n", | |
"\n", | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Instantiate the Animation class. */\n", | |
" /* The IDs given should match those used in the template above. */\n", | |
" (function() {\n", | |
" var img_id = \"_anim_imgf150eb2a6562f67e\";\n", | |
" var slider_id = \"_anim_sliderf150eb2a6562f67e\";\n", | |
" var frame_id = \"_frame_nof150eb2a6562f67e\"\n", | |
" var loop_select_id = \"_anim_loop_selectf150eb2a6562f67e\";\n", | |
" var frames = new Array(0);\n", | |
" \n", | |
" frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABRAAAAGwCAYAAADRz0l5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n", | |
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"\"\n", | |
"\n", | |
"\n", | |
" /* set a timeout to make sure all the above elements are created before\n", | |
" the object is initialized. */\n", | |
" setTimeout(function() {\n", | |
" animf150eb2a6562f67e = new Animation(frames, img_id, slider_id, frame_id, 300, loop_select_id);\n", | |
" }, 0);\n", | |
" })()\n", | |
"</script>\n" | |
], | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 4, | |
"text": [ | |
"<matplotlib.animation.FuncAnimation at 0x106b97590>" | |
] | |
} | |
], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"solver = riemann.euler_1D_py.euler_hll_1D\n", | |
"riemann_solution(num_eqn,solver,q_l,q_r,problem_data=problem_data)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"html": [ | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Define the Animation class */\n", | |
" function Animation(frames, img_id, slider_id, frame_id, interval, loop_select_id){\n", | |
" this.img_id = img_id;\n", | |
" this.slider_id = slider_id;\n", | |
" this.frame_id = frame_id;\n", | |
" this.loop_select_id = loop_select_id;\n", | |
" this.interval = interval;\n", | |
" this.current_frame = 0;\n", | |
" this.direction = 0;\n", | |
" this.timer = null;\n", | |
" this.frames = new Array(frames.length);\n", | |
"\n", | |
" for (var i=0; i<frames.length; i++)\n", | |
" {\n", | |
" this.frames[i] = new Image();\n", | |
" this.frames[i].src = frames[i];\n", | |
" }\n", | |
" document.getElementById(this.slider_id).max = this.frames.length - 1;\n", | |
" this.set_frame(this.current_frame);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.get_loop_state = function(){\n", | |
" var button_group = document[this.loop_select_id].state;\n", | |
" for (var i = 0; i < button_group.length; i++) {\n", | |
" var button = button_group[i];\n", | |
" if (button.checked) {\n", | |
" return button.value;\n", | |
" }\n", | |
" }\n", | |
" return undefined;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.set_frame = function(frame){\n", | |
" this.current_frame = frame;\n", | |
" document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\n", | |
" document.getElementById(this.slider_id).value = this.current_frame;\n", | |
" document.getElementById(this.frame_id).value = this.current_frame;\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.next_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.previous_frame = function()\n", | |
" {\n", | |
" this.set_frame(Math.max(0, this.current_frame - 1));\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.first_frame = function()\n", | |
" {\n", | |
" this.set_frame(0);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.last_frame = function()\n", | |
" {\n", | |
" this.set_frame(this.frames.length - 1);\n", | |
" } \n", | |
"\n", | |
" Animation.prototype.slower = function()\n", | |
" {\n", | |
" this.interval /= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.faster = function()\n", | |
" {\n", | |
" this.interval *= 0.7;\n", | |
" if(this.direction > 0){this.play_animation();}\n", | |
" else if(this.direction < 0){this.reverse_animation();}\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_forward = function()\n", | |
" {\n", | |
" this.current_frame += 1;\n", | |
" if(this.current_frame < this.frames.length){\n", | |
" this.set_frame(this.current_frame);\n", | |
" }else{\n", | |
" var loop_state = this.get_loop_state();\n", | |
" if(loop_state == \"loop\"){\n", | |
" this.first_frame();\n", | |
" }else if(loop_state == \"reflect\"){\n", | |
" this.last_frame();\n", | |
" this.reverse_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.last_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.anim_step_reverse = function()\n", | |
" {\n", | |
" this.current_frame -= 1;\n", | |
" if(this.current_frame >= 0){\n", | |
" this.set_frame(this.current_frame);\n", | |
" }else{\n", | |
" var loop_state = this.get_loop_state();\n", | |
" if(loop_state == \"loop\"){\n", | |
" this.last_frame();\n", | |
" }else if(loop_state == \"reflect\"){\n", | |
" this.first_frame();\n", | |
" this.play_animation();\n", | |
" }else{\n", | |
" this.pause_animation();\n", | |
" this.first_frame();\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.pause_animation = function()\n", | |
" {\n", | |
" this.direction = 0;\n", | |
" if (this.timer){\n", | |
" clearInterval(this.timer);\n", | |
" this.timer = null;\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.play_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = 1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\n", | |
" }\n", | |
"\n", | |
" Animation.prototype.reverse_animation = function()\n", | |
" {\n", | |
" this.pause_animation();\n", | |
" this.direction = -1;\n", | |
" var t = this;\n", | |
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n", | |
" }\n", | |
"</script>\n", | |
"\n", | |
"<div class=\"animation\" align=\"center\">\n", | |
" <img id=\"_anim_img38ea53fd4de273f5\" style=\"width:Nonepx\">\n", | |
" <br>\n", | |
" <input id=\"_anim_slider38ea53fd4de273f5\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"anim38ea53fd4de273f5.set_frame(parseInt(this.value));\"></input>\n", | |
" <br>\n", | |
" \n", | |
" <button onclick=\"anim38ea53fd4de273f5.slower()\">–</button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.first_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
"j8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgaeZk4EQAAASlJREFUKM/dkj9L\n", | |
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"rV+/blxKMZUnLgAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.previous_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"h8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.reverse_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"RK5CYII=\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.pause_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAA\n", | |
"AABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.play_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"Rpcle+Mf8wvgJ16zo/4BtQAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.next_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
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"qNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.last_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+H\n", | |
"j8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAknOOpFQQAAAS9JREFUKM/dkrEv\n", | |
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"xEWpH0RsdRu+zi3tVMqCAsDShoiYqiSV4OouVDFEqS9Pbiyg7vV62lpQ2BJ4Gg0meg0MbNpkYG/e\n", | |
"+540NNFyrE1a8qHk5BaAjfnrzUaHfAWImVrLIXbgnx4/9X06s35cweWsVACa3a24PVp0X+rPv1aH\n", | |
"FnSONdiL8Qci0lzwpOM5sQAAAABJRU5ErkJggg==\n", | |
"\"></button>\n", | |
" <button onclick=\"anim38ea53fd4de273f5.faster()\">+</button>\n", | |
" <form action=\"#n\" name=\"_anim_loop_select38ea53fd4de273f5\" class=\"anim_control\">\n", | |
"\n", | |
" <input id=\"_frame_no38ea53fd4de273f5\" type=\"textbox\" size=\"1\" onchange=\"anim38ea53fd4de273f5.set_frame(parseInt(this.value));\" onpaste=\"this.onchange();\" oninput=\"this.onchange();\"></input>\n", | |
" \n", | |
" <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n", | |
" <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n", | |
" </form>\n", | |
"\n", | |
"</div>\n", | |
"\n", | |
"\n", | |
"<script language=\"javascript\">\n", | |
" /* Instantiate the Animation class. */\n", | |
" /* The IDs given should match those used in the template above. */\n", | |
" (function() {\n", | |
" var img_id = \"_anim_img38ea53fd4de273f5\";\n", | |
" var slider_id = \"_anim_slider38ea53fd4de273f5\";\n", | |
" var frame_id = \"_frame_no38ea53fd4de273f5\"\n", | |
" var loop_select_id = \"_anim_loop_select38ea53fd4de273f5\";\n", | |
" var frames = new Array(0);\n", | |
" \n", | |
" frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABRAAAAGwCAYAAADRz0l5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n", | |
"AAALEgAACxIB0t1+/AAAIABJREFUeJzs3X+QnfVdL/D3obuKIWkgCCHZzdxINzRLaDYLSzMoGRYl\\\n", | |
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"gIlLgAgAAAAAFBIgAgAAAACFBIgAAAAAQCEBIgAAAABQSIAIAAAAABQSIAIAAAAAhQSIAAAAAEAh\\\n", | |
"ASIAAAAAUEiACAAAAAAUEiACAAAAAIUEiAAAAABAIQEiAAAAAFBIgAgAAAAAFBIgAgAAAACFBIgA\\\n", | |
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"\"\n", | |
"\n", | |
"\n", | |
" /* set a timeout to make sure all the above elements are created before\n", | |
" the object is initialized. */\n", | |
" setTimeout(function() {\n", | |
" anim38ea53fd4de273f5 = new Animation(frames, img_id, slider_id, frame_id, 300, loop_select_id);\n", | |
" }, 0);\n", | |
" })()\n", | |
"</script>\n" | |
], | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 5, | |
"text": [ | |
"<matplotlib.animation.FuncAnimation at 0x106ef3a90>" | |
] | |
} | |
], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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