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Julia/Stream diagram for Q(z)=(z^2-1)/z^3
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Animations in Julia by PyPlot and matplotlib.animation"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 1\n\nhttp://intro.syzygy.ca/julia-for-computing/#animation-in-julia"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing PyCall\n@pyimport matplotlib.animation as anim\n\n#Construct Figure and Plot Data\nfig = figure(\"MyFigure\",figsize=(5,5))\nax = axes(xlim = (0,10),ylim=(0,10))\nglobal line1 = ax[:plot]([],[],\"r-\")[1]\nglobal line2 = ax[:plot]([],[],\"g-\")[1]\nglobal line3 = ax[:plot]([],[],\"b-\")[1]\n\n# Define the init function, which draws the first frame (empty, in this case)\nfunction init()\n global line1\n global line2\n global line3\n line1[:set_data]([],[])\n line2[:set_data]([],[])\n line3[:set_data]([],[])\n return (line1,line2,line3,Union{}) # Union{} is the new word for None\nend\n\n# Animate draws the i-th frame, where i starts at i=0 as in Python.\nfunction animate(i)\n global line1\n global line2\n global line3\n x = (0:i)/10.0\n line1[:set_data](x,x)\n line2[:set_data](1+x,x)\n line3[:set_data](2+x,x)\n return (line1,line2,line3,Union{})\nend\n\n# Create the animation object by calling the Python function FuncAnimaton\nmyanim = anim.FuncAnimation(fig, animate, init_func=init, frames=100, interval=20)\n\n# Convert it to an MP4 movie file and saved on disk in this format.\n#myanim[:save](\"3Lines.mp4\", bitrate=-1, extra_args=[\"-vcodec\", \"libx264\", \"-pix_fmt\", \"yuv420p\"])\nmyanim[:save](\"test1.mp4\", bitrate=-1, extra_args=[\"-vcodec\", \"libx264\", \"-pix_fmt\", \"yuv420p\"])\n \n# Function for creating an embedded video given a filename\nfunction html_video(filename)\n open(filename) do f\n base64_video = base64encode(f)\n \"\"\"<video controls src=\"data:video/x-m4v;base64,$base64_video\">\"\"\"\n end\nend\n\n# Display the movie in a Julia cell as follows. Note it has animation controls for the user.\n#display(\"text/html\", html_video(\"3Lines.mp4\"))\ndisplay(\"text/html\", html_video(\"test1.mp4\"))",
"execution_count": 1,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/html": "<video controls 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},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002A314860>)",
"image/png": "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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 2\n\nhttps://github.com/JuliaLang/IJulia.jl/issues/414"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyCall\n@pyimport matplotlib.animation as anim\nusing PyPlot\n\nfunction showanim(filename)\n base64_video = base64encode(open(filename))\n display(\"text/html\", \"\"\"<video controls src=\"data:video/x-m4v;base64,$base64_video\">\"\"\")\nend\n\nA = randn(20,20,20)\n\nfig = figure(figsize=(2,2))\n\nfunction make_frame(i)\n imshow(A[:,:,i+1],interpolation=\"none\")\nend\n\nwithfig(fig) do\n myanim = anim.FuncAnimation(fig, make_frame, frames=size(A,3), interval=20)\n myanim[:save](\"test2.mp4\", bitrate=-1, extra_args=[\"-vcodec\", \"libx264\", \"-pix_fmt\", \"yuv420p\"])\nend\n\nshowanim(\"test2.mp4\")",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/html": "<video controls 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},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 3\n\nPython code\n\n \"\"\"\n A simple example of an animated plot\n \"\"\"\n import numpy as np\n import matplotlib.pyplot as plt\n import matplotlib.animation as animation\n\n fig, ax = plt.subplots()\n\n x = np.arange(0, 2*np.pi, 0.01)\n line, = ax.plot(x, np.sin(x))\n\n\n def animate(i):\n line.set_ydata(np.sin(x + i/10.0)) # update the data\n return line,\n\n\n # Init only required for blitting to give a clean slate.\n def init():\n line.set_ydata(np.ma.array(x, mask=True))\n return line,\n\n ani = animation.FuncAnimation(fig, animate, np.arange(1, 200), init_func=init,\n interval=25, blit=True)\n plt.show()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyCall\n@pyimport matplotlib.animation as anim\nusing PyPlot\n\nfunction showanim(filename)\n base64_video = base64encode(open(filename))\n display(\"text/html\", \"\"\"<video controls src=\"data:video/x-m4v;base64,$base64_video\">\"\"\")\nend\n\nfig = figure(figsize=(4,4))\nax = axes()\n\nx = [0:0.01:2pi;]\n\n# i=0,1,...,frames-1\nfunction animate(i)\n clf()\n plot(sin.(x+i/10.0))\nend\n\nfunction init()\n plot(x,sin.(x))\nend\n\nwithfig(fig) do\n myanim = anim.FuncAnimation(fig, animate, frames=200, init_func=init, interval=25, blit=true)\n myanim[:save](\"test3.mp4\", bitrate=-1, extra_args=[\"-vcodec\", \"libx264\", \"-pix_fmt\", \"yuv420p\"])\nend\n\nshowanim(\"test3.mp4\")",
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/html": "<video controls 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},
"metadata": {}
},
{
"output_type": "stream",
"text": "error in running finalizer: Base.ArgumentError(msg=\"ref of NULL PyObject\")\n",
"name": "stderr"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 4\n\n上の Example 3 とこの Example 4 はどうしてこれでうまく行くのか理解していない。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyCall\n@pyimport matplotlib.animation as anim\nusing PyPlot\n\nfunction showmp4(filename)\n open(filename) do f\n base64_video = base64encode(f)\n display(\"text/html\", \"\"\"<video controls src=\"data:video/x-m4v;base64,$base64_video\">\"\"\")\n end\nend\n\nfig = figure()\nax = axes()\n\nx = [-1.5:0.05:1.0;]\ny = [-1.0:0.05:1.0;]\nz = x' .+ im*y\nw0 = sqrt.(z.+1)./z\n\n# plotw has period 1:\n# plotw(t+1) == plotw(1)\nfunction plotw(t)\n clf()\n title(\"\\$t = $t\\$\")\n xlim(-1.4,0.9)\n ylim(-0.9,0.9)\n w = exp(pi*im*t)*w0\n streamplot(x,y,real(w),-imag(w))\n axes()[:set_aspect](\"equal\")\n # quick dirty hack to prevent the following error:\n # TypeError(\"'StreamplotSet' object is not iterable\",)\n plot()\nend\n\nn=10 # frame/loop\nl=2 # loop\ninterval=200 # milli seconds\n\n# k=0,1,...,frames-1\nfunction animate(k)\n plotw(k/n)\nend\n\nfunction init()\n plotw(0)\nend\n\nwithfig(fig) do\n global myanim = anim.FuncAnimation(fig, animate, frames=l*n+1, init_func=init, interval=interval, blit=true)\n myanim[:save](\"test4.mp4\", bitrate=-1, extra_args=[\"-vcodec\", \"libx264\", \"-pix_fmt\", \"yuv420p\"])\nend\n\nshowmp4(\"test4.mp4\")",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
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