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@genkuroki
Created June 19, 2017 13:41
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Julia/Sundials in Julia.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "The following example is found in http://qiita.com/so1_tsuda/items/12c945db5759d8229ec4"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Sundials\n#using Plots\nusing PyPlot\n# 非線形パラメータ\nmu = 0.2\n# 関数定義\nfunction vdp_sun(t, u, du)\n # dx/dt\n du[1] = u[2]\n # dy/dt\n du[2] = mu * (1.0 - u[1]^2.0) * u[2] - u[1]\n du\nend\n# パラメータ設定\nu0 = [0.2; 0.2]\nt = [0.0:0.1:10.0;]\n# メインの計算\nres = Sundials.cvode(vdp_sun, u0, t); # u0とtの順序に注意(関数定義と逆)\n# プロット\nx = [a for a in res[:,1]] \ny = [a for a in res[:,2]] \nplot(x,y)\n#savefig(\"vdp_sundials.png\")",
"execution_count": 1,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000023233748>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The following example is found in https://github.com/JuliaDiffEq/Sundials.jl"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using Sundials\nusing PyPlot\n\nfunction g(t, y, ydot)\n ydot[1] = -0.04*y[1] + 1.0e4*y[2]*y[3]\n ydot[3] = 3.0e7*y[2]*y[2]\n ydot[2] = -ydot[1] - ydot[3]\nend\n\nt = [0.0; 4 * logspace(-1., 7., 9)]\nres = Sundials.cvode(g, [1.0, 0.0, 0.0], t)\nplot(res[:,1],res[:,2])",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000025FDE710>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "1-element Array{Any,1}:\n PyObject <matplotlib.lines.Line2D object at 0x0000000026181C18>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The following example is found in\n\nhttp://nbviewer.jupyter.org/github/pjpmarques/Julia-Modeling-the-World/blob/master/Three-Body%20Problem.ipynb"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Sundials\n\nfunction f(t, g, gdot)\n # Extract the position and velocity vectors from the g array\n r0, v0 = g[1:2], g[3:4]\n r1, v1 = g[5:6], g[7:8]\n r2, v2 = g[9:10], g[11:12]\n \n # The derivatives of the position are simply the velocities\n dr0 = v0\n dr1 = v1\n dr2 = v2\n \n # Now calculate the the derivatives of the velocities, which are the accelarations\n # Start by calculating the distance vectors between the bodies (assumes m0, m1 and m2 are global variables)\n # Slightly rewriten the expressions dv0, dv1 and dv2 comprared to the normal equations so we can reuse d0, d1 and d2\n d0 = (r2 - r1) / ( norm(r2 - r1)^3.0 )\n d1 = (r0 - r2) / ( norm(r0 - r2)^3.0 )\n d2 = (r1 - r0) / ( norm(r1 - r0)^3.0 ) \n \n dv0 = m1*d2 - m2*d1\n dv1 = m2*d0 - m0*d2\n dv2 = m0*d1 - m1*d0\n \n # Reconstruct the derivative vector\n gdot[:] = [dr0; dv0; dr1; dv1; dr2; dv2]\nend;\n\n# Masses of the bodies\nm0 = 5.0\nm1 = 4.0\nm2 = 3.0\n\n# Initial positions and velocities of each body (x0, y0, vx0, vy0) \ngi0 = [ 1.0; -1.0; 0.0; 0.0]\ngi1 = [ 1.0; 3.0; 0.0; 0.0]\ngi2 = [-2.0; -1.0; 0.0; 0.0]\n\n# Simulation from time t=0 to t=30\ntf = 30.0\ndt = 500\nt = collect(linspace(0.0, tf, round(Int,tf*dt)))\ng0 = [gi0; gi1; gi2]\nres = Sundials.cvode(f, g0, t, reltol=1e-10)\n\n# Extract the position and velocity vectors from the solution\nr0, v0, r1, v1, r2, v2 = res[:,1:2], res[:,3:4], res[:,5:6], res[:,7:8], res[:,9:10], res[:,11:12]\n\n# Calculate the center of mass\ncx = [(r0[i,1]*m0 + r1[i,1]*m1 + r2[i,1]*m2) / (m0 + m1 + m2) for i=1:length(t)]\ncy = [(r0[i,2]*m0 + r1[i,2]*m1 + r2[i,2]*m2) / (m0 + m1 + m2) for i=1:length(t)]\n\n# Write the results to file if we want to do something with them later on (e.g., create some videos)\n# writecsv(\"results.csv\", res);\n\nfunction plot_trajectory(t1, t2)\n t1i = round(Int,(length(t)-1) * t1/tf) + 1\n t2i = round(Int,(length(t)-1) * t2/tf) + 1\n \n # Plot the initial and final positions\n # In these vectors, the first coordinate will be X and the second Y\n X = 1\n Y = 2\n \n figure(figsize=(6,6))\n plot(r0[t1i,X], r0[t1i,Y], \"ro\")\n plot(r0[t2i,X], r0[t2i,Y], \"rs\")\n plot(r1[t1i,X], r1[t1i,Y], \"go\")\n plot(r1[t2i,X], r1[t2i,Y], \"gs\")\n plot(r2[t1i,X], r2[t1i,Y], \"bo\")\n plot(r2[t2i,X], r2[t2i,Y], \"bs\")\n \n # Plot the trajectories\n plot(r0[t1i:t2i,X], r0[t1i:t2i,Y], \"r-\")\n plot(r1[t1i:t2i,X], r1[t1i:t2i,Y], \"g-\")\n plot(r2[t1i:t2i,X], r2[t1i:t2i,Y], \"b-\")\n \n # Plot cente of mass\n plot(cx[t1i:t2i], cy[t1i:t2i], \"kx\")\n \n # Setup the axis and titles\n xmin = minimum([r0[t1i:t2i,X]; r1[t1i:t2i,X]; r2[t1i:t2i,X]]) * 1.10\n xmax = maximum([r0[t1i:t2i,X]; r1[t1i:t2i,X]; r2[t1i:t2i,X]]) * 1.10\n ymin = minimum([r0[t1i:t2i,Y]; r1[t1i:t2i,Y]; r2[t1i:t2i,Y]]) * 1.10\n ymax = maximum([r0[t1i:t2i,Y]; r1[t1i:t2i,Y]; r2[t1i:t2i,Y]]) * 1.10\n \n axis([xmin, xmax, ymin, ymax])\n title(@sprintf \"3-body simulation for t=[%.1f .. %.1f]\" t1 t2)\nend;",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_trajectory(0, 10);",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002615DBE0>)",
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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_trajectory(10, 20);",
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000261F4518>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_trajectory(20, 30);",
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000026530F98>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "julia-0.5",
"display_name": "Julia 0.5.2",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "0.5.2"
},
"gist": {
"id": "",
"data": {
"description": "Julia/Sundials in Julia.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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