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Julia/streamplot start_points examples for Julia PyPlot
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# streamplot start_points Examples for Julia PyPlot"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 1\n\n#### Python code\n\nhttps://github.com/matplotlib/matplotlib/issues/6002/\n\n import numpy as np\n import matplotlib.pyplot as plt\n \n # Data\n x = np.linspace(-10, 10, 10)\n y = np.linspace(-10, 10, 10)\n X, Y = np.meshgrid(x, y)\n U = X*0 + 1\n V = X*0\n start_points = [[0, 0]]\n\n # Base streamline plot\n plt.figure()\n sp1 = plt.streamplot(x, y, U, V, color=[.5]*3)\n\n # Streamline plot with 'start_points' argument\n sp2 = plt.streamplot(x, y, U, V, start_points=start_points,\n color='r')\n plt.plot(*start_points[0], marker='o', label=\"Starting point\")\n plt.plot([], [], color='r', label=\"Associated streamline\")\n\n # Legend and limits\n plt.xlim(-10, 10)\n plt.ylim(-10, 10)\n plt.legend(numpoints=1)\n\n plt.show()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# from https://github.com/JuliaLang/julia/blob/master/examples/ndgrid.jl\nfunction meshgrid(vx::AbstractVector{T}, vy::AbstractVector{T}) where T\n m, n = length(vy), length(vx)\n vx = reshape(vx, 1, n)\n vy = reshape(vy, m, 1)\n (repmat(vx, m, 1), repmat(vy, 1, n))\nend\n\nusing PyPlot\n\n# Data\n# finer meshes 10 -> 401\nx = [linspace(-10, 10, 401);]\ny = [linspace(-10, 10, 401);]\nX, Y = meshgrid(x, y)\nU = X*0 + 1\nV = X*0\nstart_points=[1 2;2 1]\n\n# Base streamline plot\nplt[:streamplot](x, y, U, V, density=0.3)\n\n# Streamline plot with 'start_points' argument\nplt[:streamplot](x, y, U, V, start_points=start_points)\nplot(start_points[:,1],start_points[:,2], \"o\")\ngrid(\"on\")\n\nxlim(-10.0,10.0)\nylim(-10.0,10.0)\n\naxes()[:set_aspect](\"equal\")",
"execution_count": 1,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002869C0B8>)",
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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 2\n\n#### Python code\n\nhttps://stackoverflow.com/questions/43928767/python-matplotlib-streamplot-providing-start-points\n \n import numpy as np\n import matplotlib.pyplot as plt\n\n x,y = np.linspace(-3,3,100),np.linspace(-3,3,100)\n X,Y = np.meshgrid(x,y)\n U = -1 - X**2 + Y\n V = 1 + X - Y**2\n speed = np.sqrt(U*U + V*V)\n\n start = [[0,0], [1,2]]\n\n fig0, ax0 = plt.subplots()\n\n strm = ax0.streamplot(x,y, U, V, color=(.75,.90,.93))\n strmS = ax0.streamplot(x,y, U, V, start_points=start, color=\"crimson\", linewidth=2)\n plt.show()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# from https://github.com/JuliaLang/julia/blob/master/examples/ndgrid.jl\nfunction meshgrid(vx::AbstractVector{T}, vy::AbstractVector{T}) where T\n m, n = length(vy), length(vx)\n vx = reshape(vx, 1, n)\n vy = reshape(vy, m, 1)\n (repmat(vx, m, 1), repmat(vy, 1, n))\nend\n\nusing PyPlot\n\nx,y = ([linspace(-3,3,100);],[linspace(-3,3,100);])\nX,Y = meshgrid(x,y)\nU = -1 .- X.^2 .+ Y\nV = 1 .+ X .- Y.^2\nspeed = sqrt.(U.*U + V.*V)\n\nstart = [0 0; 1 2; -1 -2]\n\nstreamplot(x,y, U, V)#, color=(.75,.90,.93))\nstreamplot(x,y, U, V, start_points=start)#, color=\"crimson\", linewidth=2)\nplot(start[:,1],start[:,2], \"o\")\n\nxlim(-3.0,3.0)\nylim(-3.0,3.0)\ngrid(\"on\")\naxes()[:set_aspect](\"equal\")",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002C3E9048>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Example 3\n\n#### Python code\n\nhttps://matplotlib.org/examples/images_contours_and_fields/streamplot_demo_start_points.html\n\n \"\"\"\n Demo of the `streamplot` function.\n\n A streamplot, or streamline plot, is used to display 2D vector fields. This\n example shows a few features of the stream plot function:\n\n * Varying the color along a streamline.\n * Varying the density of streamlines.\n * Varying the line width along a stream line.\n \"\"\"\n import numpy as np\n import matplotlib.pyplot as plt\n\n X, Y = (np.linspace(-3, 3, 100),\n np.linspace(-3, 3, 100))\n\n U, V = np.mgrid[-3:3:100j, 0:0:100j]\n\n seed_points = np.array([[-2, 0, 1], [-2, 0, 1]])\n\n fig0, ax0 = plt.subplots()\n strm = ax0.streamplot(X, Y, U, V, color=U, linewidth=2,\n cmap=plt.cm.autumn, start_points=seed_points.T)\n fig0.colorbar(strm.lines)\n\n ax0.plot(seed_points[0], seed_points[1], 'bo')\n\n ax0.axis((-3, 3, -3, 3))\n\n plt.show()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# from https://github.com/JuliaLang/julia/blob/master/examples/ndgrid.jl\nfunction meshgrid(vx::AbstractVector{T}, vy::AbstractVector{T}) where T\n m, n = length(vy), length(vx)\n vx = reshape(vx, 1, n)\n vy = reshape(vy, m, 1)\n (repmat(vx, m, 1), repmat(vy, 1, n))\nend\n\nusing PyPlot\n\nX, Y = ([linspace(-3, 3, 301);],\n [linspace(-3, 3, 301);])\n\nU, V = meshgrid(X, Y)\nV*=0\n\nseed_points = [-2 -2; 0 0; -0.01 0; 1 1]\n\nstreamplot(X, Y, U, V, linewidth=0.5, density=0.3)\nstreamplot(X, Y, U, V, color=U, linewidth=2, start_points=seed_points)\n\nplot(seed_points[:,1], seed_points[:,2], \"o\", color=\"red\")\n\nxlim(-3,3)\nylim(-3,3)\ngrid(\"on\")\naxes()[:set_aspect](\"equal\")",
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002E5E47B8>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "julia-0.6",
"display_name": "Julia 0.6.0",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "0.6.0"
},
"gist": {
"id": "",
"data": {
"description": "Julia/streamplot start_points examples for Julia PyPlot",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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