{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Fluid Dynamics\n", "==============\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This numerical tour explores fluid dynamics for image generation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/graphics_5_fluids')"]}, {"source": ["Velocity Flow Field\n", "-------------------\n", "A velocity flow is simply a 2-D vector field $V = (V_i)_{i=1}^N \\in \\RR^{n \\times n \\times 2}$\n", "where $V_i \\in \\RR^2$ is one of the $N=n \\times n$ vectors at a position indexed by $i$.\n", "\n", "\n", "It can be generated as a realization of Gaussian process.\n", "The blurring creates correlations in the flow."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 128;\n", "options.bound = 'per';\n", "V = perform_blurring(randn(n,n,2), 40, options);"]}, {"source": ["Subsampling display operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["myplot = @(V)plot_vf( V(1:6:n,1:6:n, :) );"]}, {"source": ["We can display the vector field using arrow."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "myplot(V);"]}, {"source": ["We can renormalize the flow, which enhance the singularities. It defines\n", "$\\tilde V$ as $\\tilde V_i = V_i/\\norm{V_i}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["normalize = @(V)V ./ repmat( max(1e-9,sqrt(sum3(V.^2, 3))) , [1 1 2]);"]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "myplot(normalize(V));"]}, {"source": ["Incompressible Flows\n", "--------------------\n", "An incompressible flow as vanishing divergence. The set of vector\n", "incompressible flow defines a sub-space of $\\RR^{n \\times n \\times 2}$\n", "$$ \\Ii = \\enscond{V}{ \\text{div}(V)=0 }$\n", " \\qwhereq \\text{div}(V) = \\pd{V}{x_1} + \\pd{V}{x_2} \\in \\RR^{n \\times n}. $$\n", "Here $\\pd{}{x_s}$ for $s=1,2$ are finite differences approximation of\n", "the horizontal and vertical derivative operators (we suppose here periodic boundary conditions).\n", "\n", "\n", "\n", "The orthogonal projection $U = \\text{Proj}_{\\Ii}(V)$ on $\\Ii$ is\n", "computed by solving a Poisson equation\n", "$$ U = V-\\nabla A \\qwhereq \\Delta A = \\text{div}(V). $$\n", "\n", "\n", "This is especially simple for periodic boundary conditions since $A$ can\n", "be compute over the Fourier domain as\n", "$$ \\forall \\om \\neq 0, \\quad \\hat A(\\om) = \\frac{\\hat Y(\\om)}{\\mu(\\om)}$\n", " \\qwhereq Y = \\text{div}(V) \\qandq\n", " \\mu(\\om_1,\\om_2) = -4 \\sin(\\om_1 \\pi / n)^2 -4 \\sin(\\om_2 \\pi / n)^2 $$\n", "and $\\hat A(0)=0$.\n", "\n", "\n", "\n", "Compute the kernel $\\mu(\\om)$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[Y,X] = meshgrid(0:n-1,0:n-1);\n", "mu = sin(X*pi()/n).^2; mu = -4*( mu+mu' );\n", "mu(1) = 1;"]}, {"source": ["Computation of $A$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["A = @(V)real( ifft2( fft2( div(V, options) ) ./ mu ) );"]}, {"source": ["Projection on incompressible flows."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["ProjI = @(V)V - grad(A(V), options);"]}, {"source": ["Display $U=\\text{Proj}_{\\Ii}(V)$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["U = ProjI(V);\n", "clf;\n", "myplot(U);"]}, {"source": ["Display $W=U-V$ the irrotational component of $V$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "myplot(V-U);"]}, {"source": ["Note that the decomposition $V=U+W$ is called the Hoge decomposition of\n", "the vector field.\n", "\n", "\n", "Image Advection Along the Flow\n", "------------------------------\n", "A flow defines a warping operator that transport the content of an image\n", "along the streaming of the flow.\n", "\n", "\n", "We load an image $f$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["name = 'lena';\n", "f = crop( load_image(name, 2*n), n);"]}, {"source": ["Given some vector field $U$, the warping operator $f_1 = \\Ww_U(f)$\n", "along the flow is define\n", "$$ f_1(x) = f(x+U(x)) $$\n", "i.e. it advects the values of $f$ by the vector field $U$ to obtain the values of $f_1$.\n", "\n", "\n", "We define $U$ as a scaled normalized incompressible flow."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["U = normalize(ProjI(V));"]}, {"source": ["Helper function: enforce periodicity."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["periodic = @(P)cat(3, mod(P(:,:,1)-1,n)+1, mod(P(:,:,2)-1,n)+1 );"]}, {"source": ["Helper function: extend an image by 1 pixel to avoid boundary problems."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["extend1 = @(f)[f f(:,1)];\n", "extend = @(f)extend1(extend1(f)')';"]}, {"source": ["Helper function: bilinear interpolation on a grid."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["myinterp = @(P1,f1,Pi)interp2( P1(:,:,2), P1(:,:,1),f1, Pi(:,:,2), Pi(:,:,1) );"]}, {"source": ["First we compute the initial and warped grids."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[Y,X] = meshgrid(1:n,1:n); \n", "P = cat(3, X,Y);\n", "[Y1,X1] = meshgrid(1:n+1,1:n+1);\n", "P1 = cat(3, X1,Y1);"]}, {"source": ["Defines the warping operator $\\Ww_U$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["W = @(f,U)myinterp( P1, extend(f), periodic( P - U ) );"]}, {"source": ["Display a warped image $\\Ww_{\\rho U}(f)$ for some scaling $\\rho$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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705vepMIFF1xg45VtygU4yGCsq/L0j7AHbTvPjYjuwvBKI17rdinF1FiOA7Mz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\n0U033TQmD8n0iFPliRDprSAbOItIZ+DbUmZ0SJF4Tm50CQEz/z36xi2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"output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rho = 2;\n", "clf;\n", "imageplot(W(f,rho*U));"]}, {"source": ["__Exercise 1__\n", "\n", "Display $\\Ww_{\\rho U}(f)$ for various values of $\\rho$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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9qNqLA9/DToYrFY/HdZoRwaBbF0dEYNXjHQOBgBbk2d5kJ8PhsFar4SEg/rbb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XLz5k1daWKsf4K/L37xi1qmvXDhAgexw+H4/ve//6Mf/UhE7HY7sRqZlsIe2jiFmdekiHB93iNG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\nRCIaObXbbU1FT09Pe71e2gvoxqc7Qbfb5e3rutW1rTyquNSGW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DBjnOy4dIPBoFQqcfH7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"output_type": "display_data"}], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 2__\n", "\n", "Define an iterative scheme via:\n", "$$ f^{(\\ell+1)} = \\Ww_{\\rho U}(f^{(\\ell)}). $$\n", "Display the result $f^{(\\ell)}$, which corresponds approximately to solving\n", "an advection equation at time $t=\\ell \\rho$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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St7vdDo4dIi0MciQ4X3R9Z4grllxfRxjFRNq9r1arRqMBtzKRqmccVq1WO51O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\nc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I7fJcuyWq2WJEmtVkMqtpmdnp42Go37+/ufdBW8OCRJQmohz3PEGrmWoNXgnGVZNpvN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"output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Fluid Dynamics\n", "--------------\n", "Fluid dynamics solves the incompressible Navier-Stokes equations to\n", "evolve in time the vector field.\n", "\n", "\n", "We discribe here a simple algorithm introduced in:\n", "\n", "\n", "J. Stam, _Stable Fluids,_\n", "SIGGRAPH'99, 1999, p. 121-128.\n", "\n", "\n", "It proposes a semi-implicit scheme for the resolution of the Navier\n", "Stockes equations for the movement of incompressible fluids\n", "$$\n", " \\pd{V}{t} =\n", " \\text{Proj}_{\\Ii}\\pa{\n", " -(V \\cdot \\nabla) V + \\nu \\Delta V + W\n", " }.\n", "$$\n", "Here $\\nu \\geq 0$ is the viscosity of the fluid,\n", "$W$ is a source term, $\\Delta$ is the Laplacian, and\n", "$-(V \\cdot \\nabla) V$ is the\n", "non-linear self-advection, where we have used the short-hand\n", "notation $V \\cdot \\nabla$ for the derivative operator along a flow $V$:\n", "$$ (V \\cdot \\nabla)U = ( V_1 \\pd{U_1}{x_1} + V_2 \\pd{U_1}{x_2},\n", " V_1 \\pd{U_2}{x_1} + V_2 \\pd{U_2}{x_2} ).$$\n", "\n", "\n", "In order to visualize the flow, we also advect and diffuse along the flow\n", "a density $g$ of particules, which is a scalar field. Once $V$ has\n", "been computed, it follows a linear PDE\n", "$$\n", " \\pd{g}{t} =\n", " -(V \\cdot \\nabla) g + \\mu \\Delta g + h\n", "$$\n", "with some initial condition at time $t=0$, where $h$ is a source for the density.\n", "\n", "\n", "In practice, we solve this PDE in parallel to the PDE for $V$.\n", "\n", "\n", "In the following, we use $W=0$ and $h=0$ (no sources).\n", "\n", "\n", "Set the viscosity $\\nu$ for the velocity field."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["nu = 1/10;"]}, {"source": ["We use a larger viscosity $\\mu$ for the evolution of the density of\n", "particules."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["mu = 2*nu;"]}, {"source": ["Extend the warping operator $\\Ww_U$ to work with vector fields as input.\n", "This will apply $\\Ww_U$ on each channel of the vector field (X and Y coordinates)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Wt = @(V,U)cat(3, W(V(:,:,1),U), W(V(:,:,2),U) );"]}, {"source": ["We discretize the PDE's using some time step $\\tau$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["tau = .5;"]}, {"source": ["The algorithm computes $V^{(\\ell)}$ at iteration $\\ell$\n", "which is an approximation of the PDE solution at time $\\ell \\tau$.\n", "It is computed itertatively as\n", "$$\n", " \\tilde V^{(\\ell)} = \\Ww_{\\tau V^{(\\ell)}}( V^{(\\ell)} )\n", " \\qandq\n", " V^{(\\ell+1)} = \\text{Proj}_{\\Ii}\\pa{ \\tilde V^{(\\ell)} + \\tau\\nu\\Delta \\tilde V^{(\\ell)} + \\tau W }$\n", "$$\n", "\n", "\n", "It computes in parallel the evolution of the density as\n", "$$\n", " \\tilde g^{(\\ell)} = \\Ww_{\\tau V^{(\\ell)}}( g^{(\\ell)} )\n", " \\qandq\n", " g^{(\\ell+1)} = \\tilde g^{(\\ell)} + \\tau\\nu\\Delta \\tilde g^{(\\ell)} + \\tau h\n", "$$\n", "\n", "\n", "\n", "Set the initial field $V=V^{(0)}$ at time $t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["V = normalize(ProjI(V));"]}, {"source": ["Set the initial density $g=g^{(0)}$ at time $t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["g = f;"]}, {"source": ["The first step is to advect the vector field $V$ and $g$ along the flow $V$ itself.\n", "This corresponds to an implict discretization of the term\n", "$-(V \\cdot \\nabla) V$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["g = W (g,tau*U);\n", "V = Wt(V,tau*U);"]}, {"source": ["We implement the Laplacian using finite difference."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["s1 = [2:n 1]; s2 = [n 1:n-1];\n", "Delta = @(g)1/4 *( g(s1,:,:) + g(s2,:,:) + g(:,s1,:) + g(:,s2,:) ) - g;"]}, {"source": ["The second step is to diffuse the vector field and the density."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["V = V + tau*nu*Delta(V);\n", "g = g + tau*mu*Delta(g);"]}, {"source": ["The last step is to ensure incompressibility of $V$ by projecting on $\\Ii$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["V = ProjI(V);"]}, {"source": ["__Exercise 3__\n", "\n", "Compute the fluid dynamic by iterating these steps.\n", "nitialization"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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icX9/j/TioihOpxNiTvSHWmHEV0sKri14VClTV4Q8i4vggU9xRt9qtcKWpGMS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\nYXKAbkP9xth5kEsiblFvJVXV0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2fDkbCHdAau1v/HibPqQskkuUNdi3fYOlndQOz1ekVR\n4DVSjfG6klx2yq3Lus7qVaIMAcaGYLW7uJvHMykDd8Qtw0SnpkK9XC4XiwWMyIR7A3k6FvyxVUj5\nYRHkarVSEwqfUr3EZECrM7+2YSycLrlWffYKR5bA0hqPx+PxGL6Hfr8Ps8ki+tGMDy513d+xGnE9\nzPjQTo9c0vAlrtfr2WxGvuz1ehqZc6Siq1q/sZIKE5O4L9U7vE8nPP+k1+y2mpaMytQf7ulEfxOB\n7YWzszOwV+wtscivRbGhxkTHCMc6w/Nm9cnLWKA0cSi9OkJQx7dXdZc6bRReBvYF+mGcgOFTzu2g\nJGFBB4eOydi1BVNS1VuTbaJRgJ1QuW1O3288gDelm1QluWQwkefzuZnN5/P5fJ4I7IHodrt8zmQy\nbP0W2tDAnILixQXmXLsmdWAgPBfWpekP9YiqGwduYf1DEDAJmm5DCyZR3E5s1xojZ2y3211nIEPM\nZrOqqtbr9Xw+18GVvHIXz87rFfRc/I6BAOUwmolKujGBVSHZkveY19OyqijS9hEj1YElJCQkJDxK\nJAtsL8xmM2QbqvkFUAmiS83FpeiOw7hxDXqZ5BxDsWK/APj9qXIyemxie+0yv2iyULelbmj1vhjW\nVGhlkgoFw4sa33a7pQVGW9DqPkx9h0olzxzH2BuhujONAN4Rv5eOKWTWzGYzlPLMZrPkQnw44KCz\n4KTVhCMLSxdGFbONrF6nwQoQZh5SfFr1cSo6UJsZtgBEwMxoe8F/CL+fyQjZLHKV7zLCzKyqKrY3\ndEmPPCbP83a7zZgfVhSkmBku6iTI6xnFFvX7VneFxsDUtejE00Q2K0kEsyDjKt1Wr9X76JEIbC9s\n6iO9nbs/j2pmubKRpMT2Sy0ZzaylXVlI7uh2u8ieIHWp23CXOyKrh5Hx2pUwOwKLHQ6NZ66kETDc\nQciSwH+Z/uQel0qdBca1HZNTYvCcKqsWis+YA2aSHQdmZW4bXVX7fF3CLjCJAwSmk94s+BVJYFaf\ncVNFjcpYEJlJ6jnWJ2SE7d5JYOQqvK/sxclzVq+DdIunkcN08bu0kbxehQJpms1mm82mqioE/5bL\npdZWqkObgkP90lXUVBLuVerKQ/O2uwnM6jHg2HFq4u99CkgEthfcmnP7u4usmuy8nARoQbzJXlya\n0PJgn0HltKBsqsVm0neOq5l2kkk4QYe1U7XkluHc9BQhV76mJhS/iPsRLskFDBx4Zl5qbKhZXezd\nM3fKJvY4Td8oiqJxk9qldCd8J7RC68uiKJjmpwlETCksikI1JAvJflww8f5L5mBaE4mqF4AOGuAz\nCwSm7NWScWV7/uiNh+XSn9ctJIjncrmkWXN7e7tarZTLAap0WNJF1GrEhaac+aVLl/+lBCm95dKY\nGJfRkikQjdL0sSIR2F5QI6aMijm4qnTRY8NVgceadooY24wiZQMiamZsImCB80zUWGptzvBSP4zu\nOFQwrT5OwuoEFncPcezCAD5et6I6U/7raD6LMlwc9FtiQrJQpoa0Ah683W7bEUw8Qg/94Z824EC2\n8Dw1fdzMmFIPq5cEloWiRlXUTOSCVpfJTG3SlYXR3ngfBKbE5jIGLUoa4gp0t+MWnq6uPEp30jPj\nam9ubshAqPonbfApaWZTbIHFfhochl3F6V7OCV/JIBV347ES+UEW/2iQCGwvQICxEBvFQD0J1ObI\nXupJY0iJCVfUMTUzGG5Dp8YqteiqpQ3HSUVWJ7C29EJUKbWoM5D2VrDAnUpF1EPL0MDJeV34fKr6\n8EmL5IpfHRthMYfhBvFYeEmYlL3dbrvdLvyHcPKo4Ztwb1DtIHu1Wq2qqsBYqFVYr9cQCrKdRTEb\ni7IN1a/eDdClS8VOCYyGV+xF4DW7VVdJvQcFx6I1qaqnrjoSWLvdRs0APwV3upo+VOn063aZX1av\n8nbfyP9+0KhyPiG9qaeARGB7odPpaLiF72f1EpY8dNFVi4drl/JMt4mZkb20F4AFNZZxcm0cR69j\nFkJfFHW3CzQSmAYMcBeUIu1QwE4/MYdZCN2VYeyWyp5FzpA8irqZqJ8WSWmjXqlRilxiafxdtEmE\ncnDCvUEC48Mvy/Lm5ga5DPP5HHs6Hekxo2T1dANacliuFgiMhVz0K+I1/6qTUDIxenYtPH47Ds5l\nTl4ZJkNafaPPQmQuJrA8VHAim4MyWIWaaJ6nlPa+FKtG9uJduOP57fTE6p8sKAfuXuLbeSJIBLYX\ner0e/do3NzeUVRVLJTBusi4nIg9zXTVeTecJXTRWby2hBIavxmF5aLFDRVWl3bGXBgwaY1eaDUFZ\nzfN8E4aEOT23DCUsbr9QCWzUc3kG1RydhLtNxCLBdidkdHAj06cSgT0cfM60vebzOdoszedzDC7g\nxur4gOEuq3MSfYO2owaZhEHwR4cDgKSiGpLtILA8ZOdW9UyiPIpe4/iDgwMVjazun7cw3panKkNC\nVlbv6qmKGpXXmONpfjn6cZKl59FvpEckf5LjF1IdWEJCQkLCo0SywPYCEivMDOaXSfofwwO5NOij\nFaVGRi7ZhjCYTLqIIi5dSexXOxfAsNCIeiaBNGZwaXGMZnA0uhBjz14ZehMcSKtGFsA1plFZpHoD\nThnn8er351+dNdZow9EVg+tvSRWRRh2YXu/K9RIeCJhf6M4OC2y5XNJ/GLvd+Au2QsI3bCmsdjbR\n4BLVM2gUOQ+5u2Z2e3urp+X6dy5xdxn0s6nnmavOmY9qhJnYkblkTrL9I79Ll3Rsgekz1Eea1fNy\n1YXoXLJE7KjQjztv5FNAIrC9MBwOsdqurq5KKewle7WjOSZViGNnEgnXoLTrQ5pL6YyFSiY3qMWk\nyMbqMXZymBKYUtcdBKYEA0ec+iHxQdcB6N4S4qIX7k96Zl4kU2BQS6u+Jv2vE+Y46Svh3qiqChMJ\nrq6urq6uUC1+c3OD9A2NhuJ45RiVFE0vZLirUfvhTwynPUv6qlAOTy60kPGkDGoRj5JK+RVWp5CY\nw6yuS5HA0FWOAWllrFL68MY3FT/VTLIN9QD65/WzpEnV9vj6aUbCEoHthfF4jJ0UFhhsKZNsNyeH\nGvrKmlItXBs37gLaTx0VNmAObvpgSpfsjvd5csieYy+1WpTAqLVlwWosy5JJYoyirVYrxMMKmfm0\n63E1ihCpi8c06pj8K9AKuW2ItahebPV8GcfEuy4jYX/oLkn2mk6n6JiMZelUB5NcPt30mS5P+15j\nmVU9nYHvoHwYiY4WsnBxtn6/zx6JZVkyeKyLZBd78a9ckHlIhXAnYTzM3Qu7GBf1dt53wz2ouz9V\nhjbHJuvZ+SpMeKsV2qvGv8hHjERge+Ho6KgVUgpNukMx00/XGVWkKow4cjKsuYKaVcWW6hYIjO2D\nuYJ5cqxvsCA2d+qkPDN5Swksr8PprbiLxmIyuBOZJRF7FHeJDZ+G5hyqghwfjxe8SAs+VSe9eUiK\nadWbESR8L9Dfdz6fX19fTyYTTCc3mR3q4GjDqXp0gJO6uO1yRUEWkCsBGmMzp81mk2VZr9c7PDzU\nJB2XiW4Rj6qlYrL81HypmhJrwWHKglhymCajzbGUXXSVuquKn5iaYvqmM6p4mIqSKhm5dCrY8yd+\n7EgEthcODw+xRQ4Gg9vb21Yow2TsyuqNJ9T80nXvXI4m2bSawm5mNwHQcynkRZjJhLJKXMbh4aFJ\nUwMXH8qlSNOaLDCndZq02CF18bKxldAudKZYLGkm3QRy8exndVgk26r5WghrqfTq46UCTtxh3iXs\nCVY94tdk4RcjsvqEnenDhaeLX8NdVd3xhd+LlhZel2V5e3uLLpdmtlwuUXo1GAxWq1UWHH2t0LHT\nLSf1Qpf11mvuYMc9emSe5+SwlmRUgo/dKHZVXmO5sB1GWMxe7vFSSJWu9LIBCnh8to8VicD2AlyI\neZ7/xV/8BSRH9cpMxkaYWGAqySaZxK16MZNmzIOZLBAY2wfjSF3oBwcHCFaZ2enpaVVVen4T80UZ\nyyLppQyrS4f/5TmVxiwMM3RVYio2Sl1ZqMWpJGCw6zKsLuRZcMBWVaUeG7dJ8cL4vSkG9nCgUB2v\nDw8Psyyj38yaVAT3y6rV0pJayayu3DjDyEIsFr/4crnETGQzWy6XyOIZDAZVVXHQZafT4dKKCYzp\nHo6WnI9OCUz9mThhO1RPW53AOJPd6o1yyqh0shGN987vVQvYiWfMtdgBrJ7N8dHjqdxnQkJCQsJH\nhmSB7QUoemb2xRdfnJ2dzWYzdYzA3aEZerGVYPXgk2pSrmYZAQbNP6QiVkmaIjKvGE6nBdaqN+29\nOzIUmz76Xwva3P/X3pXttnFswTNDiqtobY632ImzGEmAvPgH8v9fkiCAV4mLZZEz9+GgC9WnhzIj\nJ8Adu+pBoMfDZnPYp+vsDTedw1LuCRq5lpkdQbWE7VhaYAg5dOqYPFX4EnGqCyYGLdtNUnSf+8e/\ntEDY0bGTx8fH5+fnR0dHbKn4baXpE4wwK/q/wA8MY6WmjhIe9/L8w9VqdXl56S5EHOXTNM14PF6t\nVr7+p9NpaYGx+cVetYpci3VK6A0WmFHfKbfGagqM1XS0uheZcP8Xbn5ouZfPch9gm4e+2J3If/G4\ngmziXey3NLkQhRKTycQl7fz8/PHjx3CtwMXPaa9s15eUAPDCbVIjCZCBew7DRtzSebhVVcG72Kaz\nskpXYefXaXMEArPCZc9+GE7u8HxiuFDA4pysYbmHJHwWbxAt5VDtmzn+a5ef8wvfFBI+x+OxOnF8\nJkBgdV0Ph8PHjx9fXFz8/fffThuf3CWDXsKy0FK9Y0Pn2+GipQR6hIEttb50bQ9BYkvVmVirYdF2\n+g/rPLODwVea1GmXV1eVWtS7OIDAULLpMyy/oH/cvowPniGuVLlfsRPltxCBCRlGo5HvlfP5/MGD\nB8vlcr1eW24W4Obb11P5XwDLMP+ztGxYw7WUFjWgkl7cXNJqk/dPux1Bp+aYvGdUbjYb9CNHxA40\nFqbNY1qeJwbebelMzn2TwRUmfhChpSiFW2PCnbGjXvJ1XV9cXHz33Xd//fWXL/7r6+tgdeGNYUcu\nb8D/cm5OXddliya/7kWTYAIfwQ01M0NDYaMcPNa6dkVT/OFwWOYfBZbFp+A7YuQq7y/lK+2GAOWS\n12dD9fVB2MNjwWsYguHRlboyRxNFYEIGeM9Go9HJycnp6SkWFogkUAVUJ2YOxj4joxNhaUJ+cHwz\nTg7r3CaMKLamc2B5ehV5+coJVKnVKSgTojsajaAIw+3pGigMxFLf5E0BGjFuZl9TJ/nxFywfaUU5\nY8Kd0VC2Z1VV0+n02bNnf/7553K5NLO3b992LphOq+KWLbVNKRuc9FhRYpR7rc3Mc+gr8kz6DV5W\nbHkFNJtfqEq2pNyE+i2W4k4HQFhdLA4Y35c9H36Li6CxTmKzQgPGh4LLod6Fh8xXcPP+n/RLgwjs\nIHAcyGtQEHwysiQ6t/6WvCVYyoNU+LxvH/cX7qtsc08CZGY8HntwbrFYTKfTYSqIxud2KpWl3EIY\n+B7+CsEOMwoDOIc5gXlqIkfvkF68o0MlAs0HFyIcO3WRScX6Pjum/P4mr4Td93MIh4O3Qn/m9+/f\nf/78+du3b83s5ubGpcC6OKwtPAr7OAx3Bk2lTa51DIIXLgKw2NwWtC4Cc0lpqPmLX8RQbLc5wsoJ\nVo7lttqQesh5YrDLeCAw0Bg6FfAVhJD541wEeJKd2hs/NL75K4EI7CBgldR1fXR05CdPWh7lrqmg\nyoo4k+Xp8thqwU8gSGidkDEjMbNUXOnsdXp6amYnJyfT6ZSjcXgXCzb4D9+LOalzi2kpnswz4Qqz\nIzoaBtn/oDEzg0fF/7LKib+YXtM0iLqXoogJszOnyqs7+eHf5ccWEpjAXOuaTqdPnjx5/fq1mW02\nm1evXrlVxO8K7BU8ZiCJOo+N4S08SJufhwePIrqvbdNxz/6uiixvX0VHR0dgCPa3s1PRiPkGeUuX\nMJnSoGTKbFMiFTzbVpwTi6IxOBv9W1SpBg5OC8u9ly2VoPDE8Jf/6+sxwkRgB4GXr8uPHwax2WxK\n53uwdVpKuNrtdr5kcc8gdeKoUnNeX8Fe2mJUs2LUXcYNwZOTk/v375vZ6enpeDyu8sIRZlMYOkZE\nxYok3xPkoc3NNdwM9RMuFG9k9TGHUXCbzTKQGfYpPF5/YoOuM1/Co+Yn2VAeTUh+Ee6GNq8Z9yV6\nenr69OlTM7u6utput5eXly4CpdXihMQesyYvkbT8fHBW9RrK7AAZNKkPDnp1uulv5G+o88qz7Xbr\nmZMVBYz9eD9e5zU1rOn0pjQUfmMjqc1LG6F7MXOz/xCNudGn28UEZFylCm7ec4Lohd/o3/zJ+wbV\ngQmCIAi9hCywg8BRHEtNm/yF12AFr4jtdyHu8iNch9TGHl5Ey5W7HdWUWDIBF4vFw4cPHz16ZGaL\nxWJAB7oDbC3BPuOAU9Ds2OfO3gmMFm7mv0Ydx/kgGEs1bXAqomiG49tBva3T+RfBMYs5BAuMzVyj\nCPm/vA6+MrDHDNb/ZDL55ptvzOz9+/ebzaZt2/V6vaOzRXB/QyeY+2/NraRqyhWEd5HXQBk3NfJ/\nuK+CLTOjWLVRExlktPt1zyhmi5/fGCywKvemYHqYFfsVjVYp8nVb8qZybAy2Fzp6QFhYKIKpZ4UF\nhs/9Ok0xEdhB4K0WNGDJ3+WpFsHZUhIYxJIJrG1bJHS0yZFoqcG2pXqvQGC+iTx79sxdiOPxmL1w\nDN73WVY77+G/nfKAaddUHAMW4bA5x6vBZ+xXRMoiZy1aXpjJBFZ6aIGW0mR82uyrEe4MrAHWjeq6\nPj4+NjOvJ0Eie5M3hWqputEol8FXO8eAA4fZ/hCO3+kdq9u29Q812t87CWyXDj0BgYX+AJbHwDoJ\nzHLPITNriNvhLazqgf9cNPyBjEYjSIRzmJkNh0NOxGe1DJ8eRKC69WCHLxsisIPg6ymsKktLB9m9\nYdPHquU4NgQbtzXFWUqWZJWtN0sreDAYnJ+f//jjj0+fPkWLkG3qWB/m0ElgPDK7+9sDuqj5zdDH\nmcBqKuri+phd3mcEgTHO+ADfsEHWUm4hKM2IXznKgomZCOxfQti+m9QMAi2k79+/v16v3aTwnixG\nvUBLC8wJLDBE4DBL6lFFwLL0wxzquvZm1iwXGKrO23i6wFapfylOeACx2QFHNDCglQYDEV8ct1kh\ngG3qWAgBcaHwBCijJqioibaiTXD4gfCUcPHrITMR2EHgvHDmsDa1xmiT1wtv4R2W9UQsfV9kLtIQ\nV16gEMggEvP5/MWLFy9evPAm9JZaSZXr22g1l45KFjCe9j4fBc8BU62qCt+F+awqvCjwnwS/Iloq\ncMZHSJ4OTy98TR+8Splsls5e8QGFOyMQmOWnlnga0fn5Oc7rwgMPHGZJpUCiRGmEsfEEd2JgETe/\nBoMB/GxhN68oJ7AkMFhg4RgUy8mP+eAWWXAqavLkjn2uRZ5hVbgrnMY8L6xU7Iz68gSO5GGN+Owf\n/cq9hgjsINzkCP4uX1tYRrzImMB4ZeOGNtVvBoZgGuP/HQwGv/7668uXL+fzedu2sFpa6nzB7+UR\n2ALbURd5vrnuSsGqyEfBip4VVds8Qp0nW9ap/QH7lAKNWXItch9IJrBSyQ32KxOYLLDPBCrBS8XL\nzIbD4Ww2WywW9+7dc/OLf5eSwAaDARthfie7tYMpj/WGBTaZTIbDIas4txMYEhGZwNzWweoqBS1I\n3D6AhywvKwaltWSWWSGVloSibOcxmUyCvz04FcOYQSS/KojADsJNgS2dAITALG+jWGHBhRikLixE\n/Berchh5Mpn8/vvvf/zxR13XUMos78fD+zsTWGmBdRKYFYVieMFSfYuEY49jDRrA5uUT8I6F8C4a\nuVC4r4eRFwWfYkUeM1tg29TwV7gzUAIc1Ai+YTabHR8fr9drdiGyrsa/SPAiWr7AwD2W78V1aiWF\nZAc2R3Bbp6LmBNYm37uZjcfj8izKMEK5tktziufJf+Hx7lS8guwHkTSqhuY0KN52OBIfxixffPFQ\nGr0gCILQS8gCOwjIPmAjzMg3jWR6I9+akTffCqOKgZuNbDLcX9f1YrEws19++eXly5eeuw991ooq\n0dIC46hDTS0/mrybDnTPkFTCui0bVZZrysFVwlfCuyylGrtf0buMI9oPp6L//WR6cTBbTS7Efwn+\nuxiVJfAD9591NBpNJpPpdLrZbNzkDSXq+EVghCESZrQ4eSGxK2I4HHrSvOXNNvd50kpPA9Y5YmCz\n2cw7UN+kPvdBJMt/8geVZh+/ZqHjtwQHSflPeD6bpnGP4mQyQc79lroswvXCsQMeis3KLxsisIMA\n0uLwjOWNztghwO640oXII+PONg/wYEUOh8PT09OffvrJzH777bf5fM7uhW3e1aIkSGav0rUSCIzj\nEHh7lWcbYt+53dnS6dmwLucGM5k/pfF4DAZyDjM6IO0mHVdhpBPgRUja/mc/s5ADR9JsU+FHm7vE\nLRVmeWsMz070ZUc+R5cAAA0tSURBVMkL2yhfFEDPz1KlAyH5sJ61YZT4U7oQWUmq89Kubd5KajQa\nrVar9XrtHIaFtI/DQMOdalNwIXIOSKdfkcffx2T4xCbvYwL22lJH4Ca1iwRvNXmS85cNEdhBYPYK\nwVUsKYhQaKdW5TnfEAZe37xkWcs7Ojo6Ozv74Ycffv75ZzM7OTlpmubjx484Ru8mbwwaCIwtJ6R4\ncdx4l5rLGR36PkiHHhlFJviFkbnWyWGW66rl33CbEZHXKcsfZtkNtd4JOfesk3JMvqEEbuHOmEwm\n/pzrdNgCoq2Wt9YdJFjeHQrqGu/IrMkhUAoRMLLtRqNRXddQYmA2dVpglttAWPO7vHbz6OhoOp2u\n12s3GTkNilnEBwzqUdOVjcWSzpJSmpgsLHVRr1ISWOCkoAFY3tIeXxP/+zVABHYQYPR0EhjIA3oW\nZDiIZalsgieYwyypn2dnZ99///3z58/Pzs58hI8fP/oRXHwULM+BdUmwF/KdjAgMDiIuTMHBE8Es\nYxqzQiz5uzBYjbUuDuu8jgcVismCHWwp597/WdP5GvaV6aH/ESaTCawZy8sVLPcosHITVgV+3KaA\n7amO8MXv7XpdXfMTyGAzlZ5k/6xg+viyLwnMLTBwmCUfRjkTni3GwZVPcpglcTuc2CpqgsMKGU8j\ncBUTm6V8mf9yXfwfQQR2ENrUFZtpzKg+bFfkRFkSp3JfhpRavukz/RwdHd27d+/JkyfPnj07Ozvz\n266vryF4OLvECgILEwgKMtKLfS9oU2Wld+gBfdZ5fnNwMO6TPeuiMX6M5et97AVGh2vRTUZ/4OxT\nQiVZRc18Sw1X+KfwDtFm5raUP/wq75hcrjorlrp1ERVv05YWv38cms3f3NxsNhvnG0s1yOw/LCXO\n6NAGd1Q2yeEBAluv1z6mHyluZjDpYA6y6cPf1JLjjjmM51ASWE1NqhD8G9D56UxsRjEIjMyGYDC2\nOs0yEZiQARooVy9ZXp/BaiDetU+MMTJbYL5MnU6Oj48fPnz47bffnp+fD4dDF7NVApTHksDC4BAb\n5OmiwNNPmmjb1q+PRqPpdFoSGDeIKwnMijh2eHEgwiOyvBjWqOTOw/JuKXozHt/vvKukD+K/lNLo\nPxM40rpNLdAG6fAEy3t78v7edHnYgu7Cv7JfbKhZBthrvV4vl8vlcvnhwwejRJ5O5nAE5wEkggnM\nSXG1WoHAfOSGKkCCjy6kTuz2h5yNOMxIgvAXeiT+ycQWlEWmZ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"output_type": "display_data"}], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}