{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# TD2 : Spatial Discretization\n", "\n", "With spatial discretization, the goal is to compute all values $f(x_0), ..., f(x_N)$ of a discretized function $f$ simultaneously. Spatial discretization is therefore opposed to temporal discretization for which the computation of $f(t_{i+1})$ relies on the previous values $f(t_0),..., f(t_i)$.\n", "\n", "In this TD we will not be interested in solving a differential equation with spatial discretization as we first need to get familiar with methods to approximate a function $f$, and we will focus here on **spectral methods**. We recall that spectral methods rely on the expansion of a function $f$ on a basis of functions $\\{\\phi_k\\}_k$ (in a function space we do not specify at this point). The coefficients of the expansion will be noted $\\hat{f}_k$. Thus we have:\n", "$$\n", " f(x) = \\sum_{k}\\hat{f}_k\\phi_k(x)\n", "$$\n", "\n", "The choice of the basis $\\{\\phi_k\\}_k$ is obviously crucial for the efficiency of a numerical calculation. We will make sure for a practical case that the chosen basis meets the following requirements:\n", "* **Convergence:** the series should converge rapidly enough to the function $f$\n", "* **Transformation:** the computation of the coefficients $\\hat{f}_k$ should be numerically fast, as well as the inverse transformation\n", "* **Differentiation:** it should be easy to compute the derivative of $f$ through its expansion, meaning we can determine $\\widehat{f^\\prime}_k$ easily\n", "\n", "As usual, we will need the following packages:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1 : Fourier and Chebyshev interpolation\n", "\n", "In spectral methods, given a set of points $\\{x_k\\}_k$ we define the interpolant $\\mathbb{I}_N[f]$ of a function $f$ based on the series representation of $f$ on the basis $\\{\\phi_k\\}_k$. Thus, we approximate $f$ by a truncated series:\n", "$$\n", " \\mathbb{I}_N[f] = \\sum_{k = 0}^{N}\\hat{f}_k\\phi_k\n", "$$\n", "(depending on the chosen basis, we can have slightly different definitions of $\\mathbb{I}_N[f]$). This function in an interpolation of $f$, and should therefore satisfy $\\forall k, f(x_k) = \\mathbb{I}_N[f](x_k)$.\n", "\n", "### Fourier basis\n", "\n", "First let us consider a Fourier basis $\\phi_k(x) = e^{i k x}$ in the function space $L^2([0,2\\pi])$. We choose the spatial domain $[0, 2\\pi]$ for convenience in the expression of the following formula, but any scaling would make the following transposable to any compact domain $[a,b]$. We also define a set of $N$ regularly spaced points in this domain $\\{x_m = \\frac{2\\pi m}{N}, m = 0, ..., N - 1\\}$. Now for a function $f$, we define its approximation by the interpolant:\n", "$$\n", " \\mathbb{I}_N[f](x) = \\sum_{k = \\left \\lfloor{-N/2}\\right \\rfloor + 1}^{\\left \\lfloor{N/2}\\right \\rfloor}{\\hat{f}_k e^{ikx}}\n", "$$\n", "The determination of the interpolant is directly related to the FFT such as defined in the [*numpy* implementation](https://docs.scipy.org/doc/numpy-1.13.0/reference/routines.fft.html): the coefficients $\\hat{f}_k$ are those computed by *np.fft.fft (fVals) / N* where *fVals* is the vector of values of the set $\\{f(x_m)\\}_m$ and *N* the length of *fVals*. We will pay attention to the order of the coefficients returned by *np.fft.fft* function. We also recall that the FFT algorithm has a $\\mathcal{O}(N\\log(N))$ complexity.\n", "\n", "**1)** Write a function which computes from a given set of values $\\{f(x_m)\\}_m$ the interpolant coefficients $\\{\\hat{f}_k\\}_k$. Complexity should be a $\\mathcal{O}(N\\log(N))$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def FourierTransform (fVals):\n", " return np.fft.fft (fVals) / len (fVals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2)** Write a function which computes from an arbitrary set of points and for a given set of coefficients $\\{\\hat{f}_k\\}_k$ the values of $\\mathbb{I}_N[f]$ evaluated at the input points. We will not care about the complexity of the algorithm." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def FourierInterpolant (fkVals, x):\n", " ret = np.zeros (len (x), dtype = complex)\n", " k = 2 * np.pi * np.fft.fftfreq (len (fkVals), 2 * np.pi / len (fkVals))\n", " for i in range (len (fkVals)):\n", " ret = ret + fkVals [i] * np.exp (1j * k [i] * x)\n", " return ret" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3)** Compare by plotting on $[0,2\\pi]$ in the following cases the exact function with its interpolant for several values of $N$:\n", "* $f(x) = \\cos(x) + \\sin(2x)$\n", "* $f(x) = \\begin{cases}\n", " \\frac{\\pi}{4} & \\text{if } 0 \\leq x < \\pi \\\\\n", " -\\frac{\\pi}{4} & \\text{if } \\pi \\leq x < 2\\pi\n", " \\end{cases}$\n", "* $f(x) = \\frac1{1+25(x/\\pi - 1)^2}$\n", " \n", "We will pay attention to the emergence of the Gibbs phenomenon." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Test functions definitions\n", "f1 = lambda x: np.cos (x) + np.sin (2 * x)\n", "def f2 (x):\n", " ret = np.ones (len (x))\n", " ret [x % (2 * np.pi) < np.pi] = np.pi / 4.0\n", " ret [x % (2 * np.pi) >= np.pi] = - np.pi / 4.0\n", " return ret\n", "f3 = lambda x: 1 / (1 + 25 * (x / np.pi - 1) ** 2)\n", "\n", "def PlotFourierInterpolant (f, N, title = \"\"):\n", " # Grid values\n", " xFVals = np.linspace (0, 2 * np.pi, N, endpoint = False)\n", " \n", " # Plot values\n", " xVals = np.linspace (0, 2 * np.pi, 10000)\n", " \n", " # Transformation and evaluation of the interpolant\n", " fkVals = FourierTransform (f (xFVals))\n", " fInterpolantVals = FourierInterpolant (fkVals, xVals)\n", " \n", " # Plot\n", " plt.figure ()\n", " plt.plot (xVals, f (xVals), label = \"$f(x)$\")\n", " plt.plot (xVals, np.real (fInterpolantVals), label = \"$\\mathbb{I}_N[f](x)$\")\n", " plt.plot (xFVals, f (xFVals), 'o')\n", " plt.xlabel ('$x$')\n", " plt.ylabel ('$f (x)$')\n", " plt.legend ()\n", " plt.title (title)\n", " plt.show ()\n", "\n", "PlotFourierInterpolant (f1, 10, \"$\\cos(x) + \\sin (2x)$ and N = 10\")\n", "PlotFourierInterpolant (f1, 20, \"$\\cos(x) + \\sin (2x)$ and N = 20\")\n", "PlotFourierInterpolant (f2, 10, \"Step function and N = 10\")\n", "PlotFourierInterpolant (f2, 20, \"Step function and N = 20\")\n", "PlotFourierInterpolant (f2, 50, \"Step function and N = 50\")\n", "PlotFourierInterpolant (f3, 5, \"$1/(1+25(x/\\pi - 1)^2)$ and $N = 5$\")\n", "PlotFourierInterpolant (f3, 10, \"$1/(1+25(x/\\pi - 1)^2)$ and $N = 10$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Chebyshev basis\n", "\n", "To avoid some unwanted numerical behaviors such as Gibbs phenomenon when dealing with discontinuities, we can use another basis of functions: Chebyshev polynomials.\n", "\n", "The Chebyshev polynomial of degree $n$ is the unique polynomial satisfying:\n", "$$\n", " \\forall \\theta \\in \\mathbb{R}, T_n(\\cos(\\theta)) = \\cos(n\\theta)\n", "$$\n", "We can build Chebyshev polynomials with the following recursive definition:\n", "$$\n", " \\begin{cases}\n", " T_0(X) = 1\\\\\n", " T_1(X) = X\\\\\n", " T_{n+2}(X) = 2XT_{n+1}(X) - T_{n}(X) \\text{ with } n \\in \\mathbb{N}\n", " \\end{cases}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**4)** Write a function which computes the $N + 1$ first Chebyshev polynomials for a given $N$, returning the coefficients of the polynomials in a matrix." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def ChebPolynomials (N):\n", " ret = np.zeros ((N + 1, N + 1))\n", " ret [0, 0] = 1\n", " ret [1, 1] = 1\n", " for i in range (2, N + 1):\n", " ret [i, i] = 2 * ret [i - 1, i - 1]\n", " for j in range (i):\n", " ret [i, j] = 2 * ret [i - 1, j - 1] - ret [i - 2, j]\n", " return ret" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**5)** Write a function which computes from an arbitrary set of points and for a given set of coefficients $\\{a_k\\}$ the values of the polynomial $\\sum_k{a_k}X^k$ evaluated at the input points." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def PolynomialEvaluation (pol, vals):\n", " ret = np.zeros (len (vals))\n", " currVals = np.ones (len (vals))\n", " for i in range (len (pol)):\n", " ret = ret + currVals * pol [i]\n", " currVals = currVals * vals\n", " return ret" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**6)** Using the previous functions, plot the first Chebyshev polynomials." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 5\n", "chebPolynomials = ChebPolynomials (N)\n", "\n", "\n", "# Plot Chebyshev polynomials on [-1,1]\n", "xVals = np.linspace (-1, 1, 100)\n", "plt.figure ()\n", "for i in range (N + 1):\n", " plt.plot (xVals, PolynomialEvaluation (chebPolynomials [i], xVals), label = \"$T_{\" + str (i) + \"}(x)$\")\n", "plt.legend ()\n", "plt.xlabel ('$x$')\n", "plt.ylabel ('$T_n(x)$')\n", "plt.title (\"First Chebyshev polynomials\")\n", "plt.show ()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a more concrete view on Chebyshev polynomials, we can use them to approximate a function $f$. We will now restrict to a function $f$ which is defined on the spatial domain $[-1,1]$, but as before, this is easily generalizable to a function defined on any compact domain $[a,b]$ through a scaling.\n", "\n", "For a given $N$, we define a grid of the spatial domain as follows:\n", "$$\n", " x_j = \\cos(\\theta_j) \\text{ with } \\theta_j = \\frac{\\pi j}{N} \\text{ and } j=0,...,N\n", "$$\n", "We can note we have one more point on the grid in comparison with the Fourier basis for the same value of N.\n", "We also define the interpolant of $f$ as follows:\n", "$$\n", " \\mathbb{I}_N[f](x) = \\sum_{n=0}^N\\hat{f}_nT_n(x)\n", "$$\n", "\n", "The determination of the interpolant for a given function on the previsouly defined grid also relies on the FFT. More precisely, it can be computed using the [Discrete Cosine Transform](https://en.wikipedia.org/wiki/Discrete_cosine_transform). To save some time, we can use the following function which computes the coefficients of the interpolant from a given set of values $\\{f(x_j)\\}_j$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import scipy as scp\n", "import scipy.fftpack\n", "\n", "def ChebTransform (x):\n", " ret = scp.fftpack.dct (x, type = 1) / (2 * (len (x) - 1))\n", " ret [1:-1] = ret [1:-1] * 2\n", " return ret" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function has a $\\mathcal{O}(N\\log(N))$ complexity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**7)** Write a function which computes from an arbitrary set of points and for a given set of coefficients $\\{\\hat{f}_n\\}_n$ the values of $\\mathbb{I}_N[f]$ evaluated at the input points. We will not care about the complexity of the algorithm." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def ChebInterpolant (fnVals, chebPols, x):\n", " ret = np.zeros (len (x))\n", " for i in range (len (fnVals)):\n", " ret = ret + PolynomialEvaluation (chebPols [i], x) * fnVals [i]\n", " return ret" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**8)** Compare by plotting on $[-1,1]$ in the following cases the exact function with its interpolant for several values of $N$:\n", "* $f(x) = \\cos((x + 1)\\pi) + \\sin(2(x + 1)\\pi)$\n", "* $f(x) = \\begin{cases}\n", " \\frac{\\pi}{4} & \\text{if } -1 \\leq x < 0 \\\\\n", " -\\frac{\\pi}{4} & \\text{if } 0 \\leq x < 1\n", " \\end{cases}$\n", "* $f(x) = 1/(1+25x^2)$\n", "\n", "In which cases Chebyshev interpolation seems to be more suitable in comparison with Fourier interpolation?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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PKioq4s477+Tjjz92uX3kyJHs3Lnz9OOWCww99dRT7Ny5k/j4MzMDP/PMM2dddMjdCw5pglDKlUMfQnURTPva6aK1BwsZFTuE4RFBvfIUY4YOYVhoAJ8dLjxTOOVGqDgOOet75TmUZ61du5a7776b6OjoTvc9ePAg559/Pjk5OUybNo2qqqp2+7z44otcddVVpx8vXrz4dPJ55JFHuP/++7n66qt58cUXe+9FtKDrQSjlyq5XYMgwGHkhANX1jWzJKuH2ucm99hQiwqIx0Xyw9wSNTQ58bT4w5lLwC4Hdr0Lqol57LuUZZWVl1NfXc/PNZ11EEzizwFBKSgrf/OY3222vr68nMzOz3aJDP/nJTygoKGDHjh2sWLECwG0LDmmCUKqtmjLI+Njqemqz3iI7jpZR3+Rg/ujOrwy7Y9GYGF5Lz2NnbhlpKZHgFwTjr4T9K+Cy34I9sFefb1D44CE4sad3zzlsElz6q053s9vt1NXVISIkJibyzDPPcPHFF3PDDTfw6KPtJ2VsXmDIle4sOuSuBYe0ikmptg6+D031MPG600VbskoQgRnJPeve2tb8kdGIwMYjxWcKJ38V6k7pmIh+Jicnh6SkJHx9fcnNzeWSSy7hvffeA8AYg0j7gZXNCwy50p1Fh9y14JDeQSjV1t43rZlWE2acLtqaXcK4YaGEBvTuoi4RwX6cNyyUTUeKuX/JaKswZSGExMHu12DCNb36fINCF6703WH79u34+/szd+5ctm3bxgUXXMDatWvJyMggObl91WTLBYZcabnoUEBAQKtFh+6//35WrVrFV77yFbcuOKR3EEq1VFUMR9bAhGutLqdAfaOD7UdLmZXavam9u2ruiCi2Hy21ZncF8LHB+Ksh4xOoq3DLc6ret2HDBv7xj38watQotm3bxowZM1i0aBGPPfYY06dPb7d/2wWGXOnKokPuXHBIE4RSLR1YAaapVfXS3uPl1DY43JYg5oyIpK7Rwc7csjOF46+0qrkOrer4QNWn/Pa3v+XNN98E4NChQ4wZM4YrrriC5557zmWCaLvAkCtdWXTInQsOaYJQqqW9b0LUaKtR0mlLljVf0sxuLg7UVbNTo6wlITJbtEMkzobgWCthqX7n1VdfxcfHh/DwcCorKxk3bhw2m43y8vJ2A+Wa1dTUMHXqVBoaGvDxsT6aO1t0yN0LDmkbhFLNqoohZwMsfPB09RLA1qwSRkQHExPi75anDQuyMyHeaof4j4uchT42GHe51d22vtrq3aT6tcTERHJzczvcHhgY2GoQXbM777yzw2PcveCQ3kEo1ezwKmuN6LFn6nMdDsPW7BK33T00mzsiih1Hy860QwCMu9JaJ+LIp259bqU6oglCqWZfrrRmVI2fdrro4MkKTtU2uq39odnckVHUN1mN4aelLIDACGtMhFJeoAlCKbAWBjqy2pp7qWX1knO9BncniLSUSHwEvmg5HsJmh7HLrPEQjfVufX6lXNEEoRRA5jqrOue81t0FN2eVMCw0gOER7h3RHBpgZ1JCGF9ktlmX+rxl1qC5oxvd+vwDgTHG2yH0OT39nWiCUArg4EprDqSUhaeLjDFszSphVmqky1GwvW1mSiQ788qoa2zRDjHifLD5a3fXTgQEBFBcXKxJogVjDMXFxT0aYa29mJRyOODghzD6IvA901PpaEk1BRV1zHRz9VKztJRInl6fxd5j5cxIdj6nX7A1ad+hVXDJ/3kkjv5o+PDh5OXlUVhY2PnOg0hAQADDhw8/5+M1QSh1LB2qCqz6/hY2O8c/zPZQgpiZYs3ztCWr9EyCABjzFXj/P6EoA6JHeSSW/sZut5OamurtMAYcj1UxicglInJQRDJE5CEX25NEZI2I7BCR3SLinrHjSrV16EMQG4y+uFXx1qwSwoPsjIoZ4pEwoob4MyImmPTsNu0Qo5eeiVMpD/JIghARG/AEcCkwHrhZRMa32e0R4DVjzDTgJuAvnohNKTI+sUYuB7aeWnlrdglpyZH4+Li//aHZrJRI0nNKcTha1KVHJEPseE0QyuM8dQcxC8gwxmQaY+qBV4C2k6AbINT5cxhw3EOxqcGssgDyd8GoJa2KC07Vkl1c7bHqpWZpKZGU1zRwuKCy9YYxX4Gjm6C23KPxqMHNUwkiAWg5xjzPWdbScuA2EckD3ge+55nQ1KB2ZLX1fdRFrYq3OKt5PNVA3ay5HWJr22qmMZeAo/FMvEp5gKcShKt79Lb90W4G/mWMGQ5cBjwvIu3iE5F7RCRdRNK1x4LqsYxPIDgGhk1uVbwlq4RAu40J8aEdHOgeSZFBxIb4t08Qw2dao6oPfeTReNTg5qkEkQcktng8nPZVSHcBrwEYYzYBAUC79R2NMX83xqQZY9JiYmLcFK4aFBxNkPEpjFwCPq3fCluySpiRHIHd5tmhQiLCzJRI0rNLW2/wscGICyBzDWhff+Uhnvrv3wqMFpFUEfHDaoRuO8HMUWAJgIiMw0oQeoug3Of4TqgpaVe9VF7dwMGTFW6foK8jM1MiOFZWw7GymtYbRl4IFflQ+KVX4lKDj0cShDGmEbgPWAUcwOqttE9EfiYiVzp3exC4W0R2AS8DXzc6LFK5U8YngFgfvC2k55RgjPvnX+pImjMxtevuOmKx9f3IGg9HpAYrjw2UM8a8j9X43LLsJy1+3g/M91Q8SpHxCSRMh+CoVsVbskuw24RpSeEdHOhe4+JCGeLvy5asEq6a2qIvR3iitZjRkdUw9zteiU0NLjoXkxqcqkusEdRtqpfAGiA3KSGMALvNC4GBzUeYnhzRvh0CrLud7PXQWOf5wNSgowlCDU6Za63FgdokiJr6JnbnlTMrNcr1cR4yKyWCgycrKKtuM833yAuhsQaOfuGdwNSgoglCDU6Za8E/FOJbLya/I7eURodhVmqEd+JyOtMO0eYuImUB+Nh1PITyCE0QanDK+gyS54OtdTPclqwSRGg9WZ4XTE0Mx24Ttua0aaj2H2JNC6IJQnmAJgg1+JQdhdIsa62FNrZml3DesFDCAu1eCOyMALuNSQlhHbRDLIYTu6FSe4Er99IEoQafzHXW99TWCaKhycH2nDJmpXi3eqnZzNRIdueVUdvQ1HpDc7fczLUej0kNLpog1OCT9Zk1vUbsuFbFe4+VU9PQ5PUG6mYzkyNpaDLsyi1rvSFuCgSEQ9Y67wSmBg1NEGpwMcb6YE1dBG2WEd16eoK+vnEHkdbRxH0+NquxOuszL0SlBhNNEGpwKToElSfbVS+B1UCdEhVEbMi5r+Hbm8KD/BgzdAhbXLVDpCyEshwozfF8YGrQ0AShBpfm9oc2DdQOh2FrdqnXptfoyMyUSLbnlNLkaDPrTOoi63v2554PSg0amiDU4JK1DsKTICKlVfHhgkrKaxq8NkFfR2amRFJZ18iB/FOtN8SOg6BoyNIEodxHE4QaPBxN1hW3y+qlYsB7E/R1pHnBonYT94lA6kLr9eiclspNNEGowSN/l7Vk54gL2m3akl3K0FB/kiKDPB7W2SSEB5IQHsjWjtohTh2DkkzPB6YGBU0QavBo7haasrBVsTGGrVklzEyJRMTV4ofelZYSwdbsEtrNft/cDqG9mZSbaIJQg0fWZxAzDkKGtirOLanhxKlaZvex6qVmM1MiKaio42hJdesNUaMgJE4ThHIbTRBqcGist2ZAbb7qbmHL6fEPfTdBAO2rmUSsu6Hs9doOodxCE4QaHI7vgIZqq2G3jS1ZxYQF2hkTG+KFwDo3OnYIYYF2tmaVtN+YuhCqCqDwoOcDUwOeJgg1OORssL4nzW23aWt2KTNTIvDx6XvtDwA+PkJackT7EdWg7RDKrTRBqMEhZyPEnAfB0a2KCypqySqq6nPjH9qamRpJZlEVRZVtVpKLSIGwJMjWBKF6nyYINfA1NVrtD8ntlzzf4qy2mT2ib0zQ15GZKR2MhwDneIj14HB4OCo10GmCUAPfyT1QXwHJ89pt2pJVQpCfjQnxoV4IrOsmJYTh7+vTwXiIBVBTCoVfej4wNaBpglADX85G67uLO4jNmSXMSI7AbuvbbwU/Xx+mJoa7bodoTnzN7SxK9ZK+/a5Qqjdkb4DIERAa16q4tKqegycr+uz4h7ZmpkSy7/gpquoaW28IT4bQBE0QqtdpglADm8MBRze6rF5qvhrvKwsEdWZmaiRNDsOOo20WEBKx7o5yNup4CNWrNEGoga3wS6t+3lX1UlYJfr4+TEkM80Jg3Tc9KRwfOTOwr5XkedY6Fzovk+pFmiDUwNZc7dJBD6ZpieH4+9o8HNS5CQmwMy4u1HVPpubXp9VMqhdpglADW84GCB1urQHRQkVtA/uOl/f57q1tzUyJZMfRMhqa2nRpjR5trQ+RrQlC9R5NEGrgMsaql0+e12796fScUhyGftNA3WxmSiQ1DU3sPVbeeoOI9Tqbe2wp1Qs0QaiBq/iIVS+f4rp6yddHmJ4U4YXAzl3zgkabXc3LlLIAyo9C2VEPR6UGKk0QauA6S/vD5sxiJg8PI9Cvf7Q/NIsJ8Wd07BA2HSluv/H0eIhNng1KDViaINTAlbMRgmOsdRNaqKlvYndeeb/p3trW3JFRbM0uad8OETseAsK0oVr1Go8lCBG5REQOikiGiDzUwT5fFZH9IrJPRF7yVGxqgMrZ4LL9YcfRUhodhtkj+lf7Q7O5I6Korm9id16b8RA+Nmu2Wk0Qqpd4JEGIiA14ArgUGA/cLCLj2+wzGngYmG+MmQD8hydiUwNU2VEoz4XkBe02bcosxuacQrs/muPsebUxw1U103wozoCKkx6OSg1EnrqDmAVkGGMyjTH1wCvAVW32uRt4whhTCmCMKfBQbGogOj3/UvsR1Bsyipg8PIyQALuHg+odEcF+jIsLZVNmBwkCrNHjSvWQpxJEApDb4nGes6ylMcAYEdkgIl+IyCUeik0NRNnrISDcqpdvoaK2gV155cwb2T/bH5rNGxlFek4ptQ1NrTfETQZ7sHZ3Vb3CUwnC1VJdbSeN8QVGAxcANwNPi0h4uxOJ3CMi6SKSXlhY2OuBqgGiefyDT+t/8S1ZJTQ5DPNHRndwYP8wd0QU9Y2O9vMy2eyQOEsThOoVnkoQeUBii8fDgeMu9nnXGNNgjMkCDmIljFaMMX83xqQZY9JiYmLcFrDqxypOQMkRl9VLG48U4+/rw/R+2v7QbNaISHyEjquZTu6DahdjJZTqBk8liK3AaBFJFRE/4CZgRZt93gEWA4hINFaVk848prrv9PgH1+0PaSkRBNj71/iHtkID7ExKCGPTkaL2G1PmA8ZaRU+pHvBIgjDGNAL3AauAA8Brxph9IvIzEbnSudsqoFhE9gNrgB8YY1xcHinViZyN4DcEhk1pVVxUWceXJyqY18+rl5rNGRnFztwyquvbrA8RPx1s/trdVfWYx8ZBGGPeN8aMMcaMNMb8wln2E2PMCufPxhjzfWPMeGPMJGPMK56KTQ0wORshcTbYfFsVN48+nj9qYCSIeSOjaWgypLddhtQeAMPTNEGoHtOR1GpgqSqGgv0dtD8UERLgy6SE/rH+Q2dmpkTg6yNscFXNlDwP8ndDXYXnA1MDhiYINbAcdc5DlNJ+gNyGjGLmjIjC5uOqU13/E+Tny/TkCNYfdpUg5oNpgtzNng9MDRiaINTAkrMRfAMgflqr4tySao6WVDO/n49/aOv8MTHsO36Kwoq61hsSZ4GPr3Z3VT2iCUINLDnrYfhM8PVvVbwhw7rKHijtD80Wjba6eq/PaDMmyC8Y4qZqglA9oglCDRy15XBij8vpvdcdKiQ+LIBRsUO8EJj7TIgPJSrYj88OddAOcWwbNNR4PjA1IGiCUANH7hYwDkie26q4ocnB+sNFnD82BpGB0f7QzMdHWDA6ms8PF+JwtJmcIGUBNNVDXrp3glP9XrcThIgEO2dnVapvydlg1bsPn9WqeMfRMirqGjl/zMAceb9odAxFlfXszz/VekPibEC0mkmds04ThIj4iMgtIrJSRAqAL4F855oNv3FO062U9+VstAaJ+QW1Kl57sABfH2HeAGt/aLZwtPW6Pjvcph0iMByGTbTaZZQ6B125g1gDjMRaq2GYMSbRGBMLLAS+AH4lIre5MUalOldfDce2uxyDEsNFAAAgAElEQVT/sO5QIdOTIwjtp9N7dyY2NIDzhoXw2SEXk1cmz4fcrdBY7/nAVL/XlQRxkTHm58aY3caY02scGmNKjDFvGmOuA151X4hKdcGxdHA0tGugLqioZd/xUwO2eqnZ+WNi2JZTSlVdm2k3kudDYw3k7/ROYKpf6zRBGGMaAETkD9JBC1/zPkp5Tc5GQCBpdqvi5t49Az1BLBoTQ0OTOT2dyGnNd1Q67YY6B91ppK4EVohIMICILBUR/a9TfUPOBhg2CQJaT6Ox7lAhMSH+TIgP9VJgnpGWEkGwn43VB9ssxBgcDdFjIVvfqqr7upwgjDGPAC8Da0VkPfAg8JC7AlOqyxrrrXr2NtVLTQ7D54cLWTR64HVvbcvf18aiMTF8euAkxrTp7po8z5r629Hk+mClOtDlBCEiS7DWja4CYoD7jTGfuyswpbosf6dVz96mgXpbTill1Q0sPm9gVy81WzJuKCdP1bH3WJvurikLoL7CGkSoVDd0p4rpv4EfG2MuAK4HXhWRC90SlVLd0cECQR/vP4HdJgO+/aHZ4rEx+Ah8cuBk6w1JzoGD2g6huqk7VUwXGmPWO3/eA1wK/K+7AlOqy3I2Qsx5Vn27kzGGj/efZO7IaEIGaPfWtqKG+DM9KaJ9gghLgIgUHTCnuq0rA+U66rmUDyw52z5KuZ2jyapfb3P3cKSwkuziai4eF+ulwLxjybih7Dt+ivzyNvMvJc+3EoTD4fpApVzoyh3EahH5nogktSx0ri09V0SeBe5wS3RKdebkXqg71a6B+qP91lX0ReOHeiMqr7l4vJUQPznQpjdT8nyoKYGig16ISvVXXUkQh4Em4G0ROS4i+0Uk01l+M/B7Y8y/3BijUh1rrjZJaj1B38f7TzIpIYy4sEAvBOU9I2OGkBwVxKdtq5ma77CyddoN1XVdSRDzjDF/AQRIwqpWmm6MSTbG3G2M0SGayntyNlj162EJp4sKKmrZmVvGxYPs7gFARLho3FA2HiluPao6IgVC4rUdQnVLVxLEKhHZBAwFbgfigVq3RqVUVxhjfeC1qV5afaAAY+CicYMvQQAsHT+U+kYHq79sUc0kYt1F5Gy0fm9KdUFXptp4ELgVq5opFfgxsMc5m6vOwaS8p+gQVBe3a6D+cN8JhkcEMi4uxEuBeVdaSiTRQ/x5f09+6w0p86HyBJRkeicw1e/4dmUnY0ymiFxkjDnUXCYiQ4CJbotMqc64GP9QXt3A+sNF3LUgdcCPnu6IzUe4dOIwXt+WS3V9I0F+zrd5851WzgaIGum9AFW/0Z1xEIfaPK40xnzR+yEp1UU5GyEkDiJSTxet2n+CRodh2eQ4LwbmfZdNiqO2wcGaL1tMAR49BoKitB1CdZkuOar6J2OsCeiS51n1604rd+eTGBnIpISwsxw88M1KdVHNdLodQkdUq67RBKH6p7IcqDjeqnqptKqeDRlFLJsUP2irl5rZfIRLJg5l9ZcF1NS3mKQveQGUHYWyXO8Fp/oNTRCqf2quJmnRg+kjZ/XS5YO8eqnZZRPjqGloYk3LKcBPrw+h1Uyqc5ogVP+U9TkERlprHTi9tzuf5KigAb/2Q1fNSo0kKtiPlbtbVDMNnQD+YVrNpLpEE4Tqf4yB7M+taax9rH/h4so6Nh4pZtmkuEFfvdTM1+bDZZPi+OTASU7VOhd99LFB0hy9g1BdoglC9T+l2VCeC6mLThf9e9dxmhyGK6fGey+uPuia6QnUNTr4cM+JM4Up86H4MFSc7PhApdAEofqjbOc6VSkLTxe9teMYE+JDOW+YVi+1NC0xnNToYN7akXemsLnd5qjeRaiz0wSh+p+szyE4FmKs9ofDJyvYnVfOtdOHezmwvkdEuGZaAl9klnCszDkFeNwUsAdrNZPqlMcShIhcIiIHRSRDRDpcy1pErhcRIyJpnopN9SMt2x+cbQ1vbj+GzUe4copWL7lyzTRrIsN3dhyzCmx2SJxljSNR6iw8kiBExAY8gbUK3XjgZhEZ72K/EOB+YLMn4lL9UPERqMiHVKt6qclheGfHMc4fE0NMiL+Xg+ubEiODmJkSwds7jmGaJ+pLWQAF+6Cy8OwHq0HNU3cQs4AMY0ymMaYeeAW4ysV+PwceRWeLVR3J/sz6nmI1UG86UsyJU7Vcp9VLZ3XNtOFkFFSy51i5VZB6vvW9uT1HKRc8lSASgJZDN/OcZaeJyDQg0Rjz3tlOJCL3iEi6iKQXFurVz6CT9bk1/5Jzsrk3tuUSEuDLkkG2tGh3LZscR4Ddh1e2Ot+G8dPAPxSy1nk3MNWneSpBuOqYfnpSehHxAX4PPNjZiYwxfzfGpBlj0mJiYnoxRNXnnW5/WAgilFbV8/7eE1wzLYEAu83b0fVpYYF2Lp8cz7s7jlFZ1wg2X6s3U6YmCNUxTyWIPCCxxePhwPEWj0Owpg5fKyLZwBxghTZUq1YKv4SqwtPtD29uz6O+0cEts5M6OVAB3DI7iar6Jv69y/nWS10EpVnW3ExKueCpBLEVGC0iqSLiB9wErGjeaIwpN8ZEG2NSjDEpwBfAlcaYdA/Fp/qDrDPjH4wxvLT5KDOSI3TsQxdNSwznvGEhvLTZmRBGONshsj7zXlCqT/NIgjDGNAL3AauAA8Brxph9IvIzEbnSEzGoASD7MwhLhIgUNmUWk1lUxS2z9O6hq0SEW2YnsedYOXvyyiF2PARFazWT6pDHxkEYY943xowxxow0xvzCWfYTY8wKF/teoHcPqhWHA7LXn25/eHHzUcIC7YN+YaDuumpqAgF2H17akmONI0ldZN1B6DrVygUdSa36h5N7oaYUUhdSUFHLR/tOcN304do43U1hgXaumBzPOzuOU17dYFUzVZ6w1vdWqg1NEKp/yFxjfR9xAS9syqHRYbhtjlYvnYtvzE+lpqGJl7cePTMeQquZlAuaIFT/cGQNxJxHbeBQXth8lCXnDWVEzBBvR9UvjY8PZd7IKJ7dmE1DaBKEJel4COWSJgjV9zXUWBPLjbyQt3cco6Sqnm8uTPV2VP3anfNTyS+v5YN9J2HEImt8iaOp8wPVoKIJQvV9RzdBUx2O1Av4x/osJiaEMjs10ttR9WsXnhdLanQw/1ifhUk9H2rLIX+Xt8NSfYwmCNX3HVkDPnY+bxxLRkEldy1I1VXjesjHR/jG/BR25Zax2z7ZKtRqJtWGJgjV9x1ZA0lz+Mv6fIaG+rNskk7r3RuunzGc8CA7f9xcAbET4Mhqb4ek+hhNEKpvqyyAk3vIjZzD5qwSvrVoJH6++m/bG4L8fLlrfiqffllA4bAFkLMJ6iq9HZbqQ/Sdpvo2Z/fLp44lEz3Ej5t15HSvumN+CiEBvrxQOBocDTr9t2pFE4Tq246sptE/ghdywrl74QgC/XRgXG8KDbDzjXkpPJkVg8M3CDI+9XZIqg/RBKH6LmMgcw3bbZMJC/LntjnJ3o5oQPrG/FTsfgHs858CGZ94OxzVh2iCUH1X4ZdQkc+b5WO4a0Eqwf6+3o5oQIoI9uNrc1N4vWysNf138RFvh6T6CE0Qqs8yhz4CYE9AGt+YrwPj3One80ew1T7deqDVTMpJE4Tqc1ZmrmTpG0uZkvE0i4cnMWVWrd49uFl4kB9XXrCAfwbFcdGBJ5n87GSWvrGUlZkrvR2a8iJNEKpPWZm5kuUbl5NflY8RKLLDJ4VP6AeVBwyL38+fYvw4KY0YDPlV+SzfuFx/94OYJgjVpzy+/XFqm2pbldU21fL49se9FNHg8eTuP9Hg03pdCP3dD26aIFSfcqLqRLfKVe/R371qSxOE6lOGBQ/rVrnqPfq7V21pglB9yo0j70EcrRukA2wBPDD9AS9FNHg8MP0BAmwBrcr89Xc/qGmCUH2GMYY12xK5qCiJuMZGBCEuOI7l85azbMQyb4c34C0bsYzl85YTFxiLGENwgz9JTbfr734Q076Dqs9Yses46zOKSI8tIJpEuOMjb4c06CwbscxKCH87n/wqw9yCEXy8/yQXjx/q7dCUF+gdhOoTCivq+J8V+7g4oZ7oU/thzCXeDmlwG3sZw07tZk5sI//99h7Kaxq8HZHyAk0Qqk/4nxV7qa5r4pfjcqyCcVd6N6DBbuylCIbfTjlJcVU9//vefm9HpLxAE4Tyuvf35PP+nhM8cNFoYnI/hpjzIHqUt8Ma3IZNgrBEhhes5VuLRvD6tjzWHSr0dlTKwzRBKK8qOFXLI+/sZWJCKPfMCIWjG2HcFd4OS4nA2EvhyGruX5TAqNgh/OiN3ZRW1Xs7MuVBmiCU1zgchv/32k5q6pv4w43TsGd8CMYB513u7dAUwNjLoLGGgJx1/P6rUymuquOHb+7GGNP5sWpA0AShvOavnx1hQ0Yxy68cz6jYIXDgPQhLgrgp3g5NAaQsgMBI2P8Ok4aH8aNLzuPj/Sd5/oscb0emPEQThPKK7UdL+d1Hh1g2OY6vpiVC7SnIXAPjLreqN5T32exWdd/BD6Chhjvnp3LB2Bj+d+UB9h8/5e3olAdoglAeV1BRy7df2EZ8eAC/vGYSIgKHP4Kmem1/6GsmXAP1lXD4Y3x8hN/eMIXwQDv3vrCNsmptjxjoNEEoj6pvdPDtF7ZzqqaRv38tjbBAu7Vhz+sQEg+Jc7wboGotZSEERcO+twGIHuLPk7fN4ER5Ld97eQeNTQ4vB6jcSROE8qjl/97HtpxSfnvDFMbFhVqF1SXWWsgTrwUf/ZfsU2y+MP5KOPQh1FcBMCM5gp9fPYHPDxfx6w+/9HKAyp089m4UkUtE5KCIZIjIQy62f19E9ovIbhH5VER0hfoB5pn1Wby0+SjfuWAkyybHndmw/11wNMKkG7wXnOrYhGugodqqBnS6cWYSt89N5qnPs3hta64Xg1Pu5JEEISI24AngUmA8cLOIjG+z2w4gzRgzGXgDeNQTsSnPeG/3cX6+cj+XTBjGg0vHtt64902IGq29l/qq5PkQHGv9nVr48eXjWTg6moff3sPqL096KTjlTp66g5gFZBhjMo0x9cArwFUtdzDGrDHGVDsffgEM91Bsys02HSnm+6/uIi05gj/cNBWbT4teSqeOQ/Z6mHS99l7qq3xs1t/n0CqrOtDJbvPhydtmMC4uhO+8uJ0dR0u9GKRyB08liASg5X1onrOsI3cBH7g1IuURu/PKuOf5dJKjgnj69pkE2G2td9j7JmBg4vVeiU910dRbrF5mbe4ihvj78s+vzyI2JIA7/7WVQycrvBSgcgdPJQhXl4Yuh2OKyG1AGvCbDrbfIyLpIpJeWKhzw/Rle4+Vc9vTmwkLtPPsnbMIC7K33sEY2PEiJMzQuZf6umGTYOgk2Pliu00xIf48d+cs7DYfbnnqCw5rkhgwPJUg8oDEFo+HA8fb7iQiFwH/DVxpjKlzdSJjzN+NMWnGmLSYmBi3BKt6bu+xcm59ejMhAXZeuWcO8eGB7Xc6tg0KD8D02z0foOq+qbfA8R1wsv3MrinRwbx8zxxEhJuf2kxGgSaJgcBTCWIrMFpEUkXED7gJWNFyBxGZBvwNKzkUeCgu5Qbbj5Zy69ObGeLvyyv3zGF4RFAHOz4L9iCYcK1nA1TnZtIN4OMLu15yuXlkzBBevnsOInDT3zdzIF9HW/d3HkkQxphG4D5gFXAAeM0Ys09EfiYizRP//wYYArwuIjtFZEUHp1N92JovC7jlqS8ID7Lz8t1zSIzsIDnUVcLet6zkEBDq2SDVuRkSA6O/ArtehSbXCwiNirWShN0mfPWvm9h0pNjDQare5LFxEMaY940xY4wxI40xv3CW/cQYs8L580XGmKHGmKnOL10xpp95a3se33wunVGxQ3jj3nkkRXWQHMAamVtfCdO/5rkAVc/NuAOqCuDAvzvcZVTsEN789jyGhgVwxzNbeH9PvgcDVL1Jh62qHnM4DL/76CDff20Xc0ZE8vLdc4gJ8e/4AGMg/RmIHgOJsz0XqOq5URdBRApseeqsu8WHB/LGvXOZNDyM7760nSfXHtFpwvshTRCqRypqG7jn+W38aXUGN6Yl8szXZxISYD/7Qblb4Ph2mHWPjn3ob3xsMPOb1sJOJ/acddfwID9euGs2yybF8esPv+T+V6y1P1T/oQlCnbOMgkqu/ctG1hws4KdXTuBX103C39fW+YGbn4SAMJhys/uDVL1v6q3gG9jpXQRAoJ+NP908jR9dch7v7T7OdU9uJLekutPjVN+gCUJ1mzGG17bmcsWf1lNcVc/zd87ijnkp1rTdnSnLhf0rrK6t/kPcH6zqfUGRMPkG2P1aq5HVHRERvn3BSJ75+kxyS6u57PHPeXfnMQ8EqnpKE4TqllO1DXzv5R388M3dTEsK54MHFjJvVHTXT7Dl74CxqpdU/zXnO9BYA5v/1uVDFo+N5f37FzJ66BAeeGUn//n6LqrqGt0YpOopTRCqy9YcLOCS33/GB3tP8IOvjOX5u2YzNDSg6yeoKoat/7BmBw1Pcl+gyv1ix1lrh2/+K9R1fVBcYmQQr31rLt+7cBRvbs/jsj9+zsYjRW4MVPWEJgjVqdKqer7/6k6+8c+tBPv78sa9c/nu4lGtJ93rii/+Ag1VsOgH7glUedbC70NtmdUjrRt8bT48uHQsr9xtLQ51y1Obefit3ZTXuB5bobxHE4TqkMNheD09l4t/v44Vu45z/4WjeO/+BUxLiuj+yWpKreql8VdZV5+q/0uYASMWw8Y/Q333G55nj4jiwwcW8a1FI3h1ay4XP7aOf+86rt1h+xBfbweguqH2lLWy19Ev4OQ+qCmxFtoJCIfIEZAwHUYvhejRPX6qbTkl/PTf+9mdV860pHCev2vSmRXgzsXGP0HdKb17GGgueAie+Qp88cQ5/W0D/Ww8fNk4lk2O46E39/C9l3fw3KZsfnL5BCYND+tZbMZA4UFroaP8nVB8xPof9PG1llEdOgGS5sCYS7TDRAekP2frtLQ0k56e7u0w3K/wEKx/zJqaoqkO/ENh6EQYEmv1S68ugaJDcMrZMyR2Asz6ptWN1O5ikryzyC6q4vefHOLdnccZGurPw5eO46qp8V3rodSRslz4cxqMuwKue/rcz6P6plduhcx1cP8OazqOc9TkMLyWnstvVx2kpLqe66cP5z8uHkOCq4kez6auEna+BFufhqKDVllYojUwMzACHA1QWWCN46ivtLrsTroeFvw/iBp5zvH3JyKyzRiT1ul+miD6sJpS+OSnsO1f1gf91Fth8lchIc312s3lefDlSmtK5vxdEBQFi34IaXeCr99ZnyqvtJo/fZrBG9vzsNuEby4YwbcvGEmwfy/cZL55NxxYAfelQ3hi5/ur/qXoMDwxG9K+Act+1+PTnapt4M+rM/jXhmwMhptmJvHdxaMYFtZJh4jGOqvR/PPHrLaRhDSYcpPVmB4a135/RxPkbobdr8KuV6z1LmZ9Cy78b/AP6fHr6Ms0QfR3GZ/A29+G6iKYfS8sfBCCu9id1BjI2Qjrfg1Z66zqp0sfZaWtnse3P86JqhMMCx7GA9MfYGLYBTz1eSavbs1FEG6ZncR3Fo8kNqQbvZPOJmcT/PMSK/4lP+mdc6q+Z+V/Qvo/4O41ED+1V055rKyGP6/O4PX0XHx8hFtnJ3H3whHEhweyMnNl6//loQtYtu0NKMuxqlkX/QASZ3X9ySpOwLpHrQb30Hi49u+QsqBXXkdfpAmiv3I0WR/s6x6F2PFw9V/O/Q1njJVoVv0XK2vyWB4bSy2O05t98KP62DVQNZ0b0hK5b/Eo1+s2nKuGWvjrAuvK7jubtJ53IKsps+4ihsRYScLWyXQr3ZBbUs2fVh/mze1WFWra+CwyzD+pd5xZMibA4WB5fSDLLnoURl547k+Wlw5vfwtKMuHCH1vVTgNwOhhNEP1RQy28eRd8+R5MucW6Xfc7y4yoXdVYx9JXFpHf1L6nSbBPNO9e9UH3xjN01Sc/tdpObnsLRi3p/fOrvmX/Cnjta9ad4sIHe/30x8pq+Of6LF458S3EXtZue1xwHB9d/1HPn6iuAlbcD/vegsk3wZV/6rSKtr/paoLQbq59RU0ZPH+N1YZwya+sO4feSA5ARkkD+U01LrdVO4rdkxwy18L638O02zQ5DBbjr7S6Ma/5pTUhYy9LCA/kkcvH42Mvd7n9RNWJ3nki/xC4/hlY/AjsfgVeusHqQTgIaYLoC6qK4V/LIG8rXP8PmPPtHt/WFlfW8cIXOdzw141c9Ng6HA2uuwwO83PDYj2njsOb34SYsXDpo71/ftV3XfFHCE2A178OVW4YIX34Y4Y1OVxuaqoP4+a/f8ErW45SXt3DQXcicP4P4Kq/QNbn1sVbrevENJBpgvC2mlJ4/moozoBbX4OJ153zqSpqG3hzWx53PLOFWb/8lEfe2UtJVT0/uuQ8Hpn7IAG21ncKAQYeyDvifDP30spfNWXwwvXQUANffQ78gnvnvKp/CAyHrz4L1cXw0letLqe9oa4S3vt/8OL1PNDgT4BP6yoff1sAS4Z+nfzyGh56aw9pv/iYbz67lXd3HqO6vgfzPU271fo/zt8Jz1876JKEtkF4U+0pKzmc2AM3vQyjL+r2KY6V1fDpgZN8cqCAL44UU9/kICE8kCumxHPllHjGxYWcHsPQrufH1O+y7PghWPtra/rtyx+zqgjO+fWUw4tfhWPb4NbXYeTicz+X6t++fB9evRVSF8FNL/XsQuHIanjv+1CaDfPug8WPsDL303Y98paNWIYxhj3Hylmx8zjv7c7nxKla/H19WDAqmiXjhrJkXOy5VakeeA9evwPipsLX3rLeL/2YNlL3dXWV8MJ1cCzdukI5b1mXDmtocrArt4x1hwr55EDB6YXhU6ODWXJeLJdOGsb0pIjuDWw7uQ/e+bY1dmLCtVa1UHcHPJXlwss3WSNXr3saJlzdvePVwLPzJXj3uxA3BW5+BUKGde/4U/nw0X/D3jetrtpX/hlS5nf5cIfDsCW7hFX7TvDJgZPklljtcJOHh7HkvKEsHBPN5IQwfG1drEhpThLx060k0Y/HSmiC6MsaauDFGyBng9UYNuGaDnd1OAz780+x6UgxG44UsSWrhOr6JnwE0pIjWTIulovGD2VkTA+7kDY1wIY/WHcTNj+YdTfMux+Co85+nMNhDTT64EdgHHDjcz3rZqgGloMfwOvfsAZ6LvutdQHS2cVLxUnY+EdrJLQx1qSA8/8D7OfemcIYw+GCSj7ef5JPD5xkR24ZxkCIvy+zR0Qyb2Q080dFM2bokLNfXO1fYVXJJs6G297ot1WomiD6qsY6eOUWyPgUrvkbTLmx1ebq+kZ255Wz/Wgp23PK2JZTQqmzwW1kTLDzHzmKOSOiCA9yQ9e7osOw9lfWVZvNbt3ZjL8akuefuaswxhq1fXgVpP8TTu6F4bOswUWRqb0fk+rfCg/CW/dY9fhxU62R/aOXWncUItb/U2UBZH8O+9+xkopxWF1Mz/+hW/6nSqrqT190bcgoIqfY6gIePcSP6UkRzEi2viYmhBFgb7NK4t43rU4YyfPhltd6rbehJ2mC6ENa1f3jywMF+Sy78Fc0Tv0aWUVV7D1ezo6jZWw/WsqB/AqaHNbfZER0MNOTI5g/Koq5I6I7n2qgNxV8Cdv+ad0d1JRaZX4hEBBq9ROvc3b7ix0PC75vNa67mv5DKYCmRut/af1jVocMAP8wa/Bk7Smod64pERRlzSGWdqdH50XKK61mY0YxX2QWs/1oKdnOhGG3CRPiw5iRHMHk4WFMiA8lNXoItr2vw1v3sDJ1Bo8H+XCi+mSrtpC+ThNEH7EycyXLNy6ntqn2dJnd2Aivu51jueOoa7S67AX72ZiSGM70pAimJ4czLTGCiOA+MDinqQGO74TcL6y7hroK67Y6egwkzbVmxByAI02VmxgDJ3ZbMxIXHbaqW/2CISLFqraJmwI2708yXVRZx/acUrYdLWVHThm78spOv1cD7TbGxYUwKeB53pfPqW1xYRRgC2D5vOV9PklogvCS8poGMgoqOVJYyZGCSt4o+Db10r4Lqd1Eck30k0yID2V8fCijY0O6vwCPUsojGpocZBRUsu/4KfYdL2ffsVPs9/2hyxHdQT7R/HD884yKHcKo2CG9M+FlL+tqguh7kbtZq+qeoKE8EDOHZbWNYA+ClPmsNFU8vvNP7brPtVRe3cDRkupWX1lFlRwprKKw4sz8MH6+PviPcj2+oFFK+fHl4936WpVSvcNu82FcXCjj4kK5fsZwACY/W46ry+uqpiIefH3X6cfxYQEkRwWTHBVEUlQQyZFnfg4NaD9nVbvu6PEXsqymARprIWEGKwNsPL7zibN+RvWWQXUH4aq6J8DhYHlpJcsqKlgZ5M/ymGhqW1zI+4o/M4fcg2/NDCsZFFdzqrb1wJvIYD+So4IYFTOEkbFDGBVjXTkkhtq49OV55NN+VGevzRujlPKKpW8sJb8qv115XNAwnrzgbQ6frCSjoIKMgkpynJ8dxVX1rfaNCLKTFBVMUmQQ8WEBlMkXfFz0BA1tJyIsLmNZbRMr/aXdZ9S5VGtpFZMLHf1B/YlibPVPOOz3MDW+7Se0Mw3hxJb/nKTIoNNfiZFBJEYEkRgZSIiLqwAqC+H1O1hZtIPlQ4dRa84klf5ST6mU6liHF5w+w1j21TesxYnaqKhtOH2hmVNSTU5xNUdLqsgrrSG/rBZ7yi/x8WtfbWV3RLA46A9srv0u5bQfnd7dC06tYnKho8m86kwxjT6BLpMDgI+9nNUPXtD1J8pLh9fugOoill31BAQHuhz1qZTqv5rfw63e25EzWLbhaXjqQrjhWYib3OqYkAA7E+LDmBDffiS2aaxjyos/dFlt1SClbMwspSKu0mWfkF6bqLCNQZUghgUPc31LOCSOV78+l6VvxLncPsxhrNlJR1xw9ieoq4DPfmOtvxwSD3d+CPHTWAaaEJQagJaNWNb+vT3qamva86cWW9Oez3/g7IZMgDcAAAkjSURBVAPqjIGMT5EPf8SwwEby7e0/luOGxPHRw0s6/owK7uYo9S4aVB3XH5j+QPsJ62wBPDD9gY63+9h5oBp47ip4+mJracLqkjM7OBxQcABW/wL+MBk2PG5Ncf2djRA/zd0vSSnV1yTNhu98YY0aX/dreHyKtQBY0WErGTSrLITtz1uJ5MXrwDh4YNzt3f+MarG9tw2qNghw0UOgTXWPy+2JF1p/yE1/tpY0BAiOtaYPqC5xDvIRa3ToBT+ChBm9+CqVUv3W0c2w9v8gc4312D8UgiKhvgqqCq2yyJHWJIRTbwVf/3P7jOpmDUWfa6QWkUuAxwEb8LQx5ldttvsDzwEzgGLgRmNM9tnO6fFxEA4H5O+AzHXWkoRN9dasjkMnWsnB1cLoSilVngeHP4KT+61ZCHz9IWqUVW09bLLHB5v2qUZqEbEBTwAXA3nAVhFZYYzZ32K3u4BSY8woEbkJ+DVwY/uzeZGPj3V3oHcISqnuCBtuTR/Sz3iqDWIWkGGMyTTG1AOvAG0XHrgKeNb58xvAEunWnNVKKaV6k6cSRAKQ2+JxnrPM5T7GmEagHOhkrmmllFLu4qkE4epOoG3jR1f2QUTuEZF0EUkvLCzsleCUUkq156kEkQcktng8HDje0T4i4guEASVt9sEY83djTJoxJi0mppurnimllOoyTyWIrcBoEUkVET/gJmBFm31WAHc4f74eWG36cx9cpZTq5zzSi8kY0ygi9wGrsLq5PmOM2SciPwPSjTErgH8Az4tIBtadw02eiE0ppZRrHptqwxjzPvB+m7KftPi5FrjBU/EopZQ6u0E11YZSSqmu69dTbYhIIZBzjodHA0W9GE5v0bi6R+Pqvr4am8bVPT2JK9kY02kvn36dIHpCRNK7MtTc0zSu7tG4uq+vxqZxdY8n4tIqJqWUUi5pglBKKeXSYE4Qf/d2AB3QuLpH4+q+vhqbxtU9bo9r0LZBKKWUOrvBfAehlFLqLAZ0ghCRG0Rkn4g4RP5/e2cXYld1huHnrWJERJwo6nihJqC2ghAlFFHwD6vWi5hSsSOIUeNFbPGmFYykoNiWqjeCtGB/aKU/RKtWjKhINEl7Y/RKjRqSTPSmNTW2/lVLh6BfL9Y6ZTlZZ2ZnZu99JuF94HDW+dbPfudb++zv7HXOrE9Dv+2XdKWkHZImJa0t7EskvSxpl6RH8zYhbehaLGljHnejpLFKm0skvVo8/itpZa57WNI7Rd2yvnTldp8Xx95Q2Efpr2WSXsrz/bqk7xR1rfpr2PlS1C/Kf/9k9sdpRd2d2b5D0hXz0TEHXd+X9Fb2z4uSTi3qqnPak64bJb1fHP+Wom5VnvddklZN79uxrgcKTTslfVTUdemv30jaK+mNIfWS9GDW/bqkc4u6dv0VEYfsA/gacCawBVg+pM1hwG5gKXAE8BpwVq77EzCRyw8Bt7ak635gbS6vBe6bpf1i0vYjR+XXDwPXdOCvRrqAT4fYR+Yv4Azg9Fw+GdgDHNu2v2Y6X4o23wUeyuUJ4NFcPiu3XwQsyeMc1qOuS4pz6NaBrpnmtCddNwI/q/RdDLydn8dyeawvXdPa30baIqhTf+WxLwTOBd4YUn8V8BxpB+zzgJe78tchfQcREdsjYscszarJjCQJuJSUvAhSMqOVLUkrkyM1Gfca4LmI+E9Lxx/Gger6P6P2V0TsjIhdufwusBfoYrvf+SS/uhp4JCKmIuIdYDKP14uuiNhcnENbSbsqd00Tfw3jCmBjRHwQER8CG4ErR6TrOmB9S8eekYj4K5WdrAuuBn4Xia3AsZLG6cBfh3SAaMiwZEbHAR9FSl5U2tvgxIjYA5CfT5il/QT7n5w/ybeXDyjl8+5T15FKOTm2Dpa9WED+kvR10qfC3YW5LX/NJ/lVk75d6ipZTfoUOqA2p33q+naen8clDVIDLAh/5aW4JcCmwtyVv5owTHvr/upts76ukPQCcFKlal1EPNVkiIotZrDPW1fTMfI448DZpJ1wB9wJ/IN0EfwlcAdwT4+6TomIdyUtBTZJ2gZ8Umk3Kn/9HlgVEV9k85z9VTtExdY0+dW8zqlZaDy2pOuB5cBFhXm/OY2I3bX+Heh6GlgfEVOS1pDuvi5t2LdLXQMmgMcj4vPC1pW/mtDb+XXQB4iIuGyeQwxLZvRP0q3b4flTYC3J0Zx0SXpP0nhE7MkXtL0zDHUt8GRE7CvG3pOLU5J+C9zep668hENEvC1pC3AO8AQj9pekY4BngB/mW+/B2HP2V4UDSX71N305+VWTvl3qQtJlpKB7UURMDexD5rSNC96suiLiX8XLXwH3FX0vntZ3SwuaGukqmAC+Vxo69FcThmlv3V9eYhqSzCjStz6bSev/kJIZNbkjaUKZHGm2cfdb+8wXycG6/0qg+muHLnRJGhss0Ug6HrgAeGvU/spz9yRpbfaxaXVt+ms+ya82ABNKv3JaApwOvDIPLQekS9I5wC+AFRGxt7BX57RHXePFyxXA9lx+Hrg86xsDLufLd9Kd6sraziR94ftSYevSX03YANyQf810HvBx/hDUvr+6+iZ+ITyAb5Gi6hTwHvB8tp8MPFu0uwrYSfoEsK6wLyW9gSeBx4BFLek6DngR2JWfF2f7cuDXRbvTgL8DX5nWfxOwjXSh+wNwdF+6gPPzsV/Lz6sXgr+A64F9wKvFY1kX/qqdL6QlqxW5fGT++yezP5YWfdflfjuAb7Z8vs+m64X8Phj4Z8Nsc9qTrp8Cb+bjbwa+WvS9OftxEripT1359d3AvdP6de2v9aRf4e0jXb9WA2uANblewM+z7m0Uv9Bs21/+T2pjjDFVvMRkjDGmigOEMcaYKg4QxhhjqjhAGGOMqeIAYYwxpooDhDHGmCoOEMYYY6o4QBjTIpI2S/pGLv9Y0oOj1mTMXDno92IyZoFxF3CPpBNI+/OsGLEeY+aM/5PamJaR9BfgaODiiPj3qPUYM1e8xGRMi0g6GxgHphwczMGOA4QxLZF3Jf0jKePXZ2o557QxfeMAYUwLSDoK+DPwg4jYDvyItBOoMQct/g7CGGNMFd9BGGOMqeIAYYwxpooDhDHGmCoOEMYYY6o4QBhjjKniAGGMMaaKA4QxxpgqDhDGGGOq/A/lmAnNkCSoUQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Test functions definitions\n", "f1 = lambda x: np.cos ((x + 1) * np.pi) + np.sin (2 * (x + 1) * np.pi)\n", "def f2 (x):\n", " ret = np.ones (len (x))\n", " ret [1 <= x % 2] = np.pi / 4.0\n", " ret [np.logical_not (1 <= x % 2)] = -np.pi / 4.0\n", " return ret\n", "f3 = lambda x: 1 / (1 + 25 * x ** 2)\n", "\n", "def PlotChebInterpolant (f, N, title = \"\"):\n", " # Grid values\n", " thetaVals = np.linspace (0, np.pi, N + 1)\n", " xFVals = np.cos (thetaVals)\n", " \n", " # Chebyshev polynomials\n", " chebPolynomials = ChebPolynomials (N)\n", " \n", " # Plot values\n", " xVals = np.linspace (-1, 1, 10000)\n", " \n", " # Transformation and evaluation of the interpolant\n", " fnVals = ChebTransform (f (xFVals))\n", " fInterpolantVals = ChebInterpolant (fnVals, chebPolynomials, xVals)\n", " \n", " # Plot\n", " plt.figure ()\n", " plt.plot (xVals, f (xVals), label = \"$f(x)$\")\n", " plt.plot (xVals, np.real (fInterpolantVals), label = \"$\\mathbb{I}_N[f](x)$\")\n", " plt.plot (xFVals, f (xFVals), 'o')\n", " plt.xlabel ('$x$')\n", " plt.ylabel ('$f (x)$')\n", " plt.legend ()\n", " plt.title (title)\n", " plt.show ()\n", "\n", "PlotChebInterpolant (f1, 10, \"$\\cos((x + 1)\\pi) + \\sin (2(x + 1)\\pi)$ and N = 10\")\n", "PlotChebInterpolant (f1, 20, \"$\\cos((x + 1)\\pi) + \\sin (2(x + 1)\\pi)$ and N = 20\")\n", "PlotChebInterpolant (f2, 10, \"Step function and N = 10\")\n", "PlotChebInterpolant (f2, 20, \"Step function and N = 20\")\n", "PlotChebInterpolant (f2, 50, \"Step function and N = 50\")\n", "PlotChebInterpolant (f3, 5, \"$1/(1+25x^2)$ and $N = 5$\")\n", "PlotChebInterpolant (f3, 10, \"$1/(1+25x^2)$ and $N = 10$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 2 : Spectral differentiation\n", "\n", "Spectral representations will be useful to solve a differential equation only if we can easily differentiate them. In this part, we will see how we can do that within a Fourier representation and a Chebyshev representation of a given function $f$.\n", "\n", "### Fourier representation\n", "\n", "Using the same notations as before, we already defined an interpolant $\\mathbb{I}_N[f]$ which approximates $f$. It is easy to differentiate $\\mathbb{I}_N[f]$:\n", "$$\n", " \\mathbb{I}_N[f]^\\prime(x)= \\sum_{k = \\left \\lfloor{-N/2}\\right \\rfloor + 1}^{\\left \\lfloor{N/2}\\right \\rfloor}{ik\\hat{f}_k e^{ikx}}\n", "$$\n", "Now we can wonder if this function is still a good approximation of $f^\\prime$.\n", "\n", "**1)** Write a function which computes the coefficients of $\\mathbb{I}_N[f]^\\prime$ given the set of $\\{\\hat{f}_k\\}_k$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def FourierDiff (fkVals):\n", " k = 2 * np.pi * np.fft.fftfreq (len (fkVals), 2 * np.pi / len (fkVals))\n", " return 1j * k * fkVals" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2)** Using *np.fft.ifft* function ($\\mathcal{O}(N\\log(N))$ complexity), write a function which computes the values $\\{\\mathbb{I}_N[f]^\\prime(x_m)\\}_m$ given the coefficients of $\\mathbb{I}_N[f]^\\prime$. Complexity of the algorithm should be a $\\mathcal{O}(N\\log(N))$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def FourierInvTransform (fkVals):\n", " return len (fkVals) * np.fft.ifft (fkVals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3)** Compare by plotting the exact value of $f^\\prime$ and the approximation $\\mathbb{I}_N[f]^\\prime$ in the following cases:\n", "* $f(x) = \\cos(x) + \\sin(2x)$\n", "* $f(x) = \\begin{cases}\n", " \\frac{\\pi}{4} & \\text{if } 0 \\leq x < \\pi \\\\\n", " -\\frac{\\pi}{4} & \\text{if } \\pi \\leq x < 2\\pi\n", " \\end{cases}$\n", "* $f(x) = \\frac1{1+25(x/\\pi - 1)^2}$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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6JCMLXmRL2HQSR2TYjkP6wh9ygt7UfKBnD97GOJ1ErH+UAolnwpX32I7TZVocLmDY2OnsDBlPct5zOgCan9rx/pNEUkXIzG/bjgJAn4go9iTdwbhT6/Tswcs0nzXkUTLuWz5/1gBaHNrVNOUbDOAY2z/8p+0oqpsZp5OoXf/ggCORkVMutx3nC+kL/4tKwjj50X/bjqJaGKeT3uv+QKHEMSHzXttx3EKLQzvGXHojRTKAXtv+YTuK6mZ7N68gpSmXoyNu9aohlnv37Ud2/JcYd/JTvRfHS2SvWUpqUw5Fo+/rEWcNoMWhXY6AAPKTbmR0/XYO7dtqO47qRlWfPkaV6cXoK7zvSDD1qu/TRACF7+rZgzdoWvVnjtGXsZlfsx3FbbQ4uCD18q/TYAIo+uh/bUdR3eTY0cOMrVhBdswCt03k407R8YlsjbqccaVvc+zoYdtx/Fr+7k2MO7WOvUNu9ugovd1Ni4MLomOHsKPPDEYceZvaU9W246husO+DxwmWRgbO+Q/bUc5r4BU/IFQa2Pv2H2xH8WtHPniEWhPEiKu/azuKW2lxcFHwlHuIpIqdy/XCdE9nnE5i815jb+AIkka2O9WuNYlp49kSNp0RBS9SW1NlO45fKis5xPhjy9gWnUm/mDjbcdxKi4OLRk2/ikKJJTT7BdtRlIflbFtFkvMQJ9JutB2lXcEzvkU/TrJ92VO2o/il/W8/SiBNxC/4vu0obqfFwUWOgAAKEq5hVO02SgpybMdRHnTs86ebmwnm3mk7SrtGTVvAAUciUTufwTidtuP4lbraGkYcfpVt4dNISBljO47baXHogCGzFuEQw4GPn7YdRXlIXW0NI8qWsbPvJUT0i7Ydp13icHB05O2kNOWyd8OHtuP4lR0fPEs/Kgmcep/tKB6hxaEDBiWPZHfQaOLz39SjtB4qe8VLRFBNyKRbbUdx2ZgF9/JKeCRfz/4hY58dy/xX5rM0b6ntWD3W0rylzH9lPouO/ZU5CQkcjA+0HckjtDh00Mm0L5HoLNBhk3uogO0vcJQoRs24xnYUl604uopfx0RSHtCIwVBcXUzW6iwtEB6wNG8pWauzKK4uxggcDRR+vvbnPfK91uLQQWlzbqfOBHFs9bO2oyg3O3b0MKNrNpAbdxUBgb5zNLhk8xLq5cwz2dqmWpZs1gEj3W3J5iXUNp05zlpPfa+1OHRQRL9osvtMZ3jpMhrq62zHUW60f+W/CBQnA2f4TpMSQEl1SYeWq87zp/dai0MnyNib6MdJdq9+x3YU5Ua9c94i3zGYoaMm247SIbHhsR1arjrPn95rLQ6dMHLm9VSZXtRufcV2FOUmpUUHGVm3g6LBV3rVIHuuWJyxmNCA0DOWhQaEsjhjsaVEPdf94+8nxGnOWNZT32vf+ivwEqG9wtkTcTFpJz7ReR56iNxPnschhvgZt9iO0mGZyZlkTc8iLjwODMQ1NLI45T4ykzNtR+txhhY7ebisnP6O3ghCXHgcWdOzeuR77TtX3bxM4NgbiFi1nG2r32bcbO+/k1ZdWGTu2+Q5kkhOG287SqdkJmeSmZxJSUEOMU9MYr3Jhqm2U/U8tRv+wcxqYc4NywkN6207jkd5zZmDiDwlIkdFZKftLK4YefG1VBJG/bZXbUdRXVScv5cRjbs5kuj7R3+xCSnsCJtCyuE3tMOEm1UcLyO94hN2R1/e4wsDeFFxAJ4BrrAdwlUhoWHsjbiEtBOfUFdbYzuO6oL8T58HYMjM2ywncZOMO4jhODtXvmw7SY+yZ/nThEoDURcvsh2lW3hNcTDGfAocs52jI4LH3UBfatj9+Vu2o6guiMp/j/2BqQxKHmk7ilukz/oSR4nCsfkZ21F6lH77/s0BRxIpY2fYjtItvKY4uEJE7hORjSKysbS01HYcRs64hkrCadiuTUu+6khhLsMb91GW4D1zRHdVYFAweYOvZ8ypjZQc2m87To9wYNcGhjfu40jKl3yuN1tn+dSrNMY8boyZZIyZFBMTYzsOwSGh7I2YSVrF59q+66MOft7c9BI/tWd1Kkic1zxd5YHlOnuhOxz55EnqTQDD5/pHkxL4WHHwRoGjr6Yv1exdv8x2FNUJ4Xnvke8YTKKP9lI6n7jENHb2mkhywes0NTbajuPT6utqGX5kKTt7TydqwCDbcbqNFocuSpt+NbUmiOptb9qOojqo4lgpI2q3UxR7me0oHtEw9qsMpJxdek2sS3aufJkoKgmY6FvDqnSV1xQHEXkBWAOkiUihiNxtO5MrwnpHsDt8MomlK3UYbx+z77OXCRQn/SfdYDuKR4ye/RUqCKd+o05t2xWObc9TSj9Gz1xoO0q38priYIy52RgTZ4wJMsYMNsY8aTuTqxpSFxBLGbk71tiOojogYN+7HCWKlHEzbUfxiNBe4eyJvpz0ys+oOGa/A4cvKivKJ716HTnxVxMYFGw7TrfymuLgy1Jm3ECTEUo3vmY7inJRbU0VI6rWcyB6Fo6AANtxPCbq4kWESAN7PtTZCzsj58MnCBQng2ffYztKt9Pi4AZRAwaxN3g0A4o+sh1FuWjP528RJnWEjfWdSX06I2XsDA44kui3T2+I6yjjdBJ38DV2B40iIXWc7TjdTouDm1QmzWdY0wGKDuyxHUW5oCH7LSoJI23KAttRPEocDo4Mu4Hhjfs4uHuj7Tg+Ze+mj0l0FlI18iu2o1ihxcFNEqZ9CYBDa/QIzds1NTaScuJz9vWdTnBIaPtP8HHD591NgwmgZOUTtqP4lMrVT1NjQhg593bbUazQ4uAmg5JHc8CRSJ+DH9iOotqxf8tK+lEJaT4zlFeXRA0YxM7wqaQeeVdv1nRRTVUFo459RHa/y+jdt5/tOFZocXCjkthZDK/LpvJEue0o6gKOb32HJiOkTrvOdpRuIxNupT8VZH+iQ724IvvD5+gtpwifeqftKNZocXCjyHGZBEkTOWv0piNvNqDkE/YFjyIiyv4QLN1l9KU3UE4EZstztqP4hLBdL1AocYy8aL7tKNZocXCj1IzZVBBO415tWvJWRw8fYFhTHicGz7YdpVsFBYewf+CVpFevpfxIoe04Xu1wXjaj63dQmLjQbwbZOxf/feUeEBgUTE6fKSSfWI2zqcl2HHUOB9e+AUDspJ7dhfVcYmfdQ5A0sf8jvefhQg59/ARNRhg61ycGafAYLQ5u5kyZRzQnyN2x2nYUdQ5BucspIZqkkZNtR+l2SSMnsS9wOANyXtGhXs6jqbGR5MI32dlrEgMHD7MdxyotDm42bNq1OI1Qtvlt21HUWepqaxhevYn8/jP8trng+PAbSXYe1IOX88he9SYDKadx7C22o1jnn38hHhQ1YBD7g4YTVbTSdhR1ln3rlxMutYSM7Nk3vl3IiLl3UWeCKP/sKdtRvFLDpn9ygt6kX/Zl21Gs0+LgAcfiZ5HasI9jRw/bjqJaqd65lDoTxPCpV9qOYk1EVAw7+85kRNn71J6qth3Hq1SUH2FM5WfsiVlASGiY7TjWaXHwgOiMq3GIIXeNzvHgTQaVfsbeXuMJ6x1hO4pVwZNvJ4Jqsj9+wXYUr7Jn+VMESyMxl/jfIHvnosXBA4aNmU4ZkThytEurtyjI2UGCKaImsWdO7NMRo6ZfTQkxBO3Q4tBa//0vkxMwjGFjptqO4hW0OHiAIyCAA5HTSD25nsaGettxFHB4ffNZXMKU6y0nsS8gMJCDg68h/dQmSgpybMfxCrnbV5PSlEt5as+aS7wrtDh4SEDa5fSlmv2bV9iOooBeh1ZSIPEMSh5pO4pXSLjsXhxiOPCRDsYHUPrZU9SbQEbMW2Q7itfQ4uAhw6ZcRZMRKnYssx3F79XV1pB6ajtF/afZjuI1BiWPJDt4HEPyX/P7GzbramtIK32fHX0uJqL/QNtxvIYWBw+JiIohJyiNfiWrbEfxezmbVxImdQQP1+sNrdWM/gqDzBF2r/PvA5jsFS/Rj5METbzNdhSvosXBg47FzSSlYR8V5UdsR/Frldkf0GgcDLvIf+9vOJf0ubdRZXpRs+5Z21GsCtz2PCVEM3qm/4zS6wotDh7Ub8zlBIghZ927tqP4tagjq8kJSqNvZH/bUbxKr/A+7Oo/l9EnVlBVedx2HCtKCnJIP7WRg4OvJSAw0HYcr6LFwYNSJlxKJWE07f/QdhS/VXGslJSGfRyPm2E7ilfqO/0uwqSOXcv98+zhwId/xyGGhMvutR3F62hx8KDAoGBywicy5PhaHejMktwN7xMghojR82xH8UppGbPJdyTQd89LtqN0O2dTE0MOvc7OkPHai+0ctDh4WEPSLGIp49D+7baj+KWGfR9SbUJJzfCv+RtcJQ4HxUMXMqJhF/l7t9qO0612rX2XQeYItaNvth3FK2lx8LCESVcBULx5qeUk/in+2HpywsYRFBxiO4rXSpl3D43GQdHKJ21H6Va1656lkjDS595qO4pX0uLgYfFDR1Ag8fQ6tNJ2FL9TnL+XBFPEqYRLbEfxatGxQ9gZPoXU4rf85o7+iuNlpFesZHf/+YSG9bYdxytpcegGRf2nklqzjbraGttR/ErBxvcAiJ1wheUk3s+Mv5VoTpD92Wu2o3SLPcufJlQaiJqpg+ydjxaHbhAyYj5hUsf+jdprqTsFHFxJKf1ITMuwHcXrpc+6kXIiaNr0nO0o3SJq30vkOZJIGau92M5Hi0M3SLnoChpMACezl9uO4jecTU0kn9zEwYjJfjvrW0cEBYewf+CVjKla3ePnIcnbuY7Uxv0cTblRPxsXoO9MN+jdtx9PRabw48CVjH12LPNfmc/SPL1A7SlL85Yy96XLuDQpgv/qX6jvtYsGXno3QdLEvuU9+8L00U+faB5kb742KV2I1xQHEblCRPaKSI6IPGA7jzstzVvK4/3qKQ0Eg6G4upis1Vn6peUBS/OWkrU6i9KGYxgRyk2VvtcuGjpqMnsDRxCf+2KPvS+ntqaKkUeXsqPPxURGx9qO49W8ojiISADwP8ACYBRws4iMspvKfZZsXkK9nDnyZW1TLUs2L7GUqOdasnkJtU21ZyzT99p1lem3M8R5mF1r3rMdxSN2fPAsEVQTMk3PGtrjFcUBuAjIMcbkGWPqgReBay1ncpuS6pIOLVedp+9114yZfwcVhFO79u+2o3hEn53/5JBjEKOnZdqO4vW8pTgMAgpa/V7YsuwMInKfiGwUkY2lpaXdFq6rYsPPffp6vuWq8/S97prQsN7sHng1Yyo/paykoP0n+JDcHWsZ0bibopSb9UK0C7zlHZJzLDNtFhjzuDFmkjFmUkxMTDfEco/FGYsJDQg9Y1loQCiLMxZbStRzLc5YTLA582Ot73XHxM/5BsHSxP5lj9mO4lZlKx+j1gQx8vL7bEfxCd5SHAqBhFa/DwaKLGVxu8zkTLKmZzEgJBoxhijCyZqeRWayntq6W2ZyJt8sF6IbBUGIC4/T97qDhgwfT3bwOBIPvkxTY6PtOG5RVXmc9LL32RE5R2d7c5G3DGC+AUgVkaHAYeArwFftRnKvzORMrkxaQMnPh1McnkSGfll5xImyEu6qPMiofvcx7Y7f2Y7js2rH30X8+u+w7bPXGTf7Rttxuix72ZNMkVr6zNSzBld5xZmDMaYR+BawDNgN/NsYk203lfuJw0FB5GRSqjf3mCMyb5O7/j0cYug3Zr7tKD5tzJybKSMS54anbEfpMuN0Er3nOXIDhpKmo/O6zCuKA4Ax5l1jzHBjzDBjzK9s5/EUR8ps+lJN7vbPbUfpkZpyPuKk6UXKeB1sryuCQ0LZP+g6xlavoeTQfttxumTvpo8Z1nSAsrRb9EJ0B+g71c2SJjXPY1y+4wPLSXqmwcfXkxM+gcCgYNtRfF7S/G8CcOC9P1lO0jXVn/6leWjuBTrbW0docehm0bEJHHAk0adole0oPc7hvGzizRHqh+hZgzvEJaaxrc9MRhW/Sk1Vhe04nVJSkMO4yk/YFXs94X0ibcfxKVocLDgSM5XU2mxqa6psR+lRCjc139Ubl7HAcpKeI2zm/URQzY53/2Y7SqcceHcJgiFxgXZl7igtDhb0SptDiDSQs+kj21F6lKCDn3CE/iSkjLUdpcdImzyXfYHDid/9NM6mpvaf4EVOVZ9kVPGrbOs9k7hOjNkRAAAec0lEQVTENNtxfE6Hi4OIhLeMhaQ6KWXy/OYhvHfr/A7u0tTYyLDqTeRHTtGLjm4kDgeV4+4hwRSx45NXbcfpkO3v/o0Iqul1ybdsR/FJ7f4ViYhDRL4qIktF5CiwBygWkWwR+b2IpHo+Zs8S3ieSnOARRB9dYztKj5G7/XMiqMYxbJbtKD3OuMvv5ChRONb91XYUlzmbmojd/TQ5AcMYMXme7Tg+yZVDrBXAMOBBINYYk2CMGQDMBNYCvxERnaG7g07EzWBYQw4Vx3xnjChvVr5jGQBJk6+0nKTnCQoOIXfoVxlTt4UD2etsx3HJjk9eJtFZyPGx9+iZZCe58q7NNcb8whiz3RjzxSDvxphjxphXjTE3AC95LmLPFDl6Lg4x5G1413aUHqHv4VXkOZKIjk1of2XVYaOu+jY1JoTyZb+3HaVdxukkZM0SSohh/IK7bcfxWe0WB2NMA4CI/FFEzjVA3hfrKNelTJhFtQmlft/HtqP4vFPVJ0mty+ZozDTbUXqsiP4D2R67kPEVH3E4z7sHL9i9bhkjGnaRP+JugoJDbMfxWR0536oC3hKRcAARmS8ieptvJwUFh5ATNo74Y+ttR/F5+zd8QLA0EjZiru0oPVrKtQ/SRACH3/m17SgX1PjJI5QTwbhr7rcdxae5XByMMQ8BLwArRWQV8D2gR03n2d1ODb6YBFPk88MT2Faz5yPqTSApeuHRo6LjE9kancn48nc5UphrO8455WxbxdjaDewbeiuhYb1tx/FpLhcHEZkD3AtUAzHAt40xn3kqmD8YOP5yAA5t6plTMnaXmNLV7A8ZRVjvCNtReryEq3+EAAfe+o3tKOdUufy3nDS9GH3t92xH8XkdaVb6MfATY8ws4EvASyJymUdS+YmkkZMpJwLHgU9sR/FZ5UcKGdZ0gJPxM21H8QvxSWls7TefcUfeoKzkkO04Z8jZ9jkZVZ+yM+Fm+kb2tx3H53WkWekyY8yqlp93AAuAX3oqmD8Qh4MDfSaRVLkR43S2/wTVxoGW3l5RY3WI7u4Sd9VDBNJE7is/sx3lDNXvP0wF4Yy64ce2o/QIrtwEd74eSsXAnAuto9pnhl5KNCfI37vZdhSf5MxZQSXhDBt7se0ofmNwSjqbo68mo/RNDuftth0HgD3rlzPu1Dp2Jd9NRL9o23F6BJdughOR+0VkSOuFIhIMTBORZ4E7PJLODyRMar5pq2TL+5aT+B7jdDLkxHpywjMICPSWSQ39w7Abfk4jARS/8ZDtKBink6YPH6aMSMYt/L7tOD2GK8XhCqAJeEFEikRkl4jkAfuBm4E/GGOe8WDGHi12SCqFEkdogV7b76jC3B3EUkZD4qW2o/id6PhEtg66mUmVH5K7fbXVLNtX/pvR9TvIHfF17ZTgRu0ebhljaoG/An8VkSAgGjhljDnh6XD+4nDUFEaXLaOhvk5v2umAos3vkQAM0iG6rRh140/59xNv89iGb1C+xRAbHsvijMVkdtP86EvzlvLHTX/kSHUx0QkJLM4Y2S379RcXPHMQketE5M8iMhya74Q2xhRrYXCvoNTZ9JZT5G7RXksdEZz/KUUygEHJo2xH8Uurjq/jtwMiKAt0YjAUVxeTtTqLpXlLPb7vpXlLyVqdRUlNCUaE0kDhl+t/1S379hcXLA7GmDeARGCOiOjthh4ybPICnEY4nr3cdhSf0dhQT0r1ZgojL9KB1SxZsnkJ9Zw5x0NtUy1LNi/pln3XNtVa2be/cOWvKtkY8xhwp4ez+K2I/gPJDUohslhHI3FVzrbP6COnCEjVW21sKaku6dDynrJvf+FKcXhfRNYAsSKySEQmikiop4P5m7IB00mp30NV5XHbUXzC8R0f4DRCsg7RbU1seGyHlrtTlOPcQ2N0x779hSujsn4fuIXmHktDgZ8AO1om+9Ghut2kz+h5BEkTOeu1S6srIoo/Jy8wmX4xcbaj+K3FGYsJDTjzODHEafjG6K95dL8V5Uf4eskRQs66bzQ0IJTFGTpXtLu41FhrjMmjeV6HnxhjrjPGpAJTgD94NJ0fSZ04h1MmmNq9Oq90e6pPniClbhelA3SIbpsykzPJmp5FXHgcghAdEMHDZeXErfDcAY5xOsl78k4WVh3nm0MXfbHvuPA4sqZndVtPKX/g8p1Dxph9Z/1eRfNMcMoNQkLD2N5rLHHl+pa2J2fDB4yTJnqP1CEzbMtMzjzjC3nd/9zNlKP/Zsuyi5lwufvvjV334q+YWrOatWnfZ9Gs77KI77p9H6qZdvPwIjWDLybRWcDRwwdsR/Fqp/Z8SJ0JInXSHNtR1FnG3/1n9gamMXz1D8jf494hYXateY+MvX9gS9h0pnxFx0/yNC0OXiRmXPPNXPkbtK/2hQwsW8u+0HQdr98LhYSGEXnnC9RKCAEvfZWykgK3bPfQvq0MWnY3JQGxJN/zD+2+3A30HfYiQ0dN5hh9kbyVtqN4rbKifIY686kapEN0e6uBg4dRmvkUUc5jVPz9aiqOl3Vpe8X5ewl84UaaCCDg1leJiIpxU1J1IVocvIgjIIC8PpNJqtygQ3ifx4GWs6qYcZdbTqIuZMTkueTMfoyExkOU/mU+ZUX5ndrO4bxs5OlMeptqyq55jkHJOkRGd9Hi4GVOD+F9cM8m21G8U94KjtOX5HTtqeTtxs66gd2z/kZ8YyENj88hZ9uqDj1/x6evE/6P+YRyiqPX/5vhGTrAYneyXhxE5MaWeyacIjLJdh7bEiY39/w4skWnDj2bcToZWrGevD6TcAQE2I6jXDBu9o0cvu4VAmgi8bVrWPPUDzhVffKCz6k8Uc66vyxi9Ed3cdzRn6pbl5EyTufr6G7eMAj+TmAh8DfbQbxBbEIKhxyD6FXwqe0oXufg7g0M5QQHhs6yHUV1QOqES6gYspbtz3yNaYf+RtnvX2Lb4BuInnwDiSMnERQcQm1NFQez13Ji4yuMLnmDydSyYcANpN/+COF9Im2/BL9kvTgYY3YD6GRy/6c4agpjSpdSX1dLcIiOVHLaka3vM5T/O7tSviOi/0Amfu8Ndq9bRsOK3zK54CkCCp+k6TWhhmDCpI4RQKNxsL3PTPrO+yFTxs2wHduvWS8OHSEi9wH3AQwZMqSdtX1X8PA5hJW9Rvamjxk9XccOOi2s4DPyHYNJTEixHUV10sgpl8OUyyktOkj+luU0Fu+GhhpMaAQhsSMYNuUqMrQ3klfoluIgIh8C5xoR68fGmDdd3Y4x5nHgcYBJkyYZN8XzOsMuWkDj5w4qdy0HLQ4A1J6qJvXUNrYPuIZE22FUl8XEJxETf6/tGOoCuqU4GGPmdsd+eoq+kf3ZE5RGVIkO4X1azqaPSJd6QtL0o6RUd7DeW0md24nY6aQ07OvyDUQ9xcldy2kwAaRcdIXtKEr5BevFQUSuF5FCYBqwVESW2c7kDfqmzydADLnrtUsrQPSR1eQEj6B33362oyjlF6wXB2PM68aYwcaYEGPMQGOM3voKpEyYRY0JoWH/x7ajWHe8tJhhjbmciNchM5TqLtaLgzq34JBQ9oeNJ16H8CZv/VIcYug3RofoVqq7aHHwYqcSLiHBFFGcv9d2FKuacj6mkjBSxumZg1LdRYuDF4ud0HzxtWCj/153ME4nQ46vJzc8g8CgYNtxlPIbWhy8WGJaBqX0I+DgSttRrCnM3UEspdQnzrIdRSm/osXBi4nDwcGIi0g+uZGmxkbbcawo2tx81jR4kt4MqFR30uLg5SR1Lv04Sc5W/xyILzj/E4pkIIOSR9uOopRf0eLg5VKmXoPTCMe2vWs7Srerq60hrXoTBVE6d4NS3U2Lg5eLjI5lf9Bwoor978xh/4blhEkdISP1rmilupsWBx9wLP5SUhv2cby02HaUblW18z3qTSCpUxbYjqKU39Hi4AP6j8/EIYbctW/ZjtKtYks/Z19ouk72opQFWhx8wLCxF3OcPpicD21H6TYlBTkkOQ9RlTDbdhSl/JIWBx8QEBhIbt8pDKtYi7OpyXacbpG/tnmaj7iJV1tOopR/0uLgI8ywOURRSe52/5jjIfjAR5QQw5C0CbajKOWXtDj4iOSp1wBQtnWp5SSeV19Xy/DqTeT3n4449COqlA36l+cj+g8czP7AVPoV9fwurfs2LidcaglO01FYlbJFi4MPKYudSWr9biqOldqO4lEnd75PvQkgdWqm7ShK+S0tDj6k39grCRBDTg/v0hp7ZBX7Q9J11jelLNLi4ENSJlxKJeE49y23HcVjjhTmMtR5kJMJs2xHUcqvaXHwIYFBwezvcxHJJ1b32C6tB9e8AcBA7cKqlFVaHHyMSb2C/lSwb8tK21E8IiTvA4pkIEkjJtqOopRf0+LgY1JnXE+jcXB8S8+77lBTVcGImk0cirlUu7AqZZn+BfqYiP4D2RuSTmzxCttR3G7v6rcJlQZ6j9UmJaVs0+Lgg04mzmOoM5/DebttR3Grhl1LqSSMtIsutx1FKb+nxcEHJUy7AYCCta9aTuI+zqYmhp34nP19phIUHGI7jlJ+T4uDDxqUPJqDjgR65/ecLq37tqykPxWYNJ27QSlvoMXBRxXHzmZE7fYec7f08c1v0mACSJ1+ve0oSim0OPisfhOuJVCc7F/9uu0obhFXsoJ9IelERMXYjqKUQouDz0qdMItyIpC979mO0mWH83aT5DzEyaR5tqMopVpocfBRAYGB5EbOIPXkWurram3H6ZKCNS8DkDB1oeUkSqnTtDj4sODRV9OXGvas8e05HiIOvkduwFAGJY+2HUUp1cJ6cRCR34vIHhHZLiKvi4jOJu+iERdfS5XpRe2212xH6bSjhw8wsmEXRwfrvQ1KeRPrxQFYDqQbY8YC+4AHLefxGaG9wtkTMYPU45/QUF9nO06nHPjsRQDip99sOYlSqjXrxcEY84ExprHl17XAYJt5fI1j9HX04yR71r5vO0qn9M5bykFHAolp421HUUq1Yr04nGURcN7uNyJyn4hsFJGNpaU9o39/V42aeT01JoSara/YjtJhZSUFjKzbSfEgbVJSytt0S3EQkQ9FZOc5/l3bap0fA43A8+fbjjHmcWPMJGPMpJgY7Q8PEBrWm919p5N6bCWNDfW243RI7mcv4RBD7NSbbEdRSp0lsDt2YoyZe6HHReQO4CpgjjHGdEemnkRGX0fU2hXsXPc+6RdfYzuOy8Jy3qFA4kkaOdl2FKXUWaw3K4nIFcAPgWuMMTW28/iikTNvoMaEUL3FdwbiO15azMjabRTGzdO5G5TyQt1y5tCOvwAhwHIRAVhrjPm63Ui+pVd4Hzb3mUpK+QoaG+oJDAq2Hald+z7+B1PEyYCpX7EdRfmghoYGCgsLqa317RtAPSk0NJTBgwcTFBTUqedbLw7GmBTbGXqE9IX0X/sJO1a/w5hLvf9O44icNzjoGEJy+lTbUZQPKiwspE+fPiQlJdFyUKlaMcZQXl5OYWEhQ4cO7dQ29Hy+hxh16Y1UEk7dpn/ZjtKuogN7GNGwi+LEq7VJSXVKbW0t/fv318JwHiJC//79u3RmpX+ZPURor3D2RF3GqIpPqT55wnacC8r/5BkAkmbdYTeI8mlaGC6sq++PFocepPdFtxImdexe8YLtKOdlnE7iD73NrqB04hLTbMdRSp2HFoceZMTkeRQTQ/Au770hLnfHahKdhZwcrpP6KOXNtDj0II6AAA4OuorRpzZRVpRvO845la1+jnoTwIjLbrMdRSm3e/31njH5Fmhx6HHiL7mTADHkrHjGdpQ26utqGX5kKdm9pxHRf6DtOEq5xfe+9z1GjRrF1VdfzYcffgjAqVOnuPTSS2lqajrv8+rr67nkkktobGw87zo2aXHoYRLTxrMvcDixuS9jnE7bcc6w8+MXiKISx6Q7bUdRyi3y8vL4/PPP2bVrFwsWLOD+++8H4KmnnmLhwoUEBASc97nBwcHMmTOHl156qbvidoj1+xyU+50YeQsX7fgZezZ8yIgp823H+ULgtucoIZr0mXq9QbnPw29ns6uo0q3bHBXfl59dfeHJp/bu3cvcuXNpbGxkwoQJ3HnnnYwYMQKA559/nn/96/+6lc+ePZsf/ehHzJs3j4ceeojKykr+9Kc/cd111/Hggw9yyy23uDW/O2hx6IHSL7+Lqu2/4eTqv4OXFIeig3tJP7WJdUPuITZQP3bK96WlpXHHHXeQlJTEPffc88Xy+vp68vLySEpK+mLZww8/zE9/+lOOHj3Kli1beOuttwBIT09nw4YN3R3dJfpX2gOF9Y5gXfTljC9bSkX5Ea9o38//6HFigaS599qOonqY9o7wPWnHjh1ce+21ZywrKysjMvLMCS0vueQSjDE8+uijrFy58ovmpoCAAIKDgzl58iR9+vTpttyu0GsOPVT0rG8QIg3s/uAJ21FobKgnueB1dvaaqPc2qB4lOzub0aPPLE69evVqc2fyjh07KC4uJiQkpE0RqKurIzQ01ONZO0qLQw81bMzU5gvT+1+wfmF62/LnGUg5zol3W82hlDudPHmSoKAgwsLCzljer18/mpqavigQxcXF3HLLLbz55puEh4ezbNmyL9YtLy8nJiam04PjeZIWhx6sIv0OkpwF7Fz1ptUc4Vse57AMZMxsndRH9Rw7d+4kPT39nI/Nnz+fVatWUVNTw8KFC3nkkUcYOXIkP/nJT8jKyvpivRUrVnDllVd2U+KOEV+dW2fSpElm48aNtmN4tbraGl7/8xj+FtWb8kBDbHgsizMWk5mc6fF9L81bypLNSyipLia2oZErQy7mO7f93eP7Vf5h9+7djBw50naM89qyZQuPPvoo//znPy+43sKFC/n1r39NWppnmlvP9T6JyCZjzKT2nqtnDj3Yh0Ur+H1MH8oCnRgMxdXFZK3OYmneUo/ud2neUrJWZ1FcXYwBioMCeU62eHy/SnmLCRMmMHv27HZvgrvuuus8Vhi6SotDD7Zk8xLq5cwPZ21TLUs2L/H4fmubzrwgV9dU5/H9KuVNFi1a1O5NcLfffns3JuoYLQ49WEl1SYeW+/p+lVLuo8WhB4sNj+3Qcl/fr1LKfbQ49GCLMxYTGnBm/+kQRwiLMxZ7fL/B5syPVmhAqMf3q5RyHy0OPVhmciZZ07OIC49DEOIaGrmtOt7jvZWmhKbz46PH6d8U2Lzf8Diypmd1Sy8ppZR76PAZPVxmcuYXX8rr/nw7E8reoejAHuKHjvDYPvNe/hFXVVcx5UvvMSjZ3tAGSqnO0zMHPzJ04cM0EkjJK9/32D4O7NrAxGNL2TzwS1oYlPJhWhz8yIBBQ9mWdBcZ1Z+xc9Vbbt++cTo5+dYDVEsvRtz0c7dvX6mezptmktPi4GcmfPknFMkAen/8Yxrq69y67U3vPsHY2o3sGv4fREZrzyTl3w4ePEivXr0YP378GctPzxx37733Mn78eIKDgykrKyM3N9erZpLT4uBnQsN6c3T6wyQ5D7Hxnz9223Yryo+QvPEX7AsczuSbHnDbdpXyZmVlZSxatIjly5ef8/Fhw4axdevWL35vPXPc3//+d7Zu3Up8fDwAy5Yt86qZ5PSCtB8aP++rbNj5OpMPPcn+rdeSOn5ml7ZnnE5ynvka40wVx6/9MwE6mY/qTu89ACU73LvN2DGw4DftrrZy5Uruvfdel4bcPnvmuFWrVhEeHv7F44GBgV41k5z+Ffup4Xc+xrElkwl98z4qk1bRN7J/p7e1/tU/MOXkCtYkf4tpY6a6MaVS3u3EiRPU19dz8803t7vu+WaOO+2+++4DvGcmOS0OfiqiXzS7rniM1Pe+yq6/3Uz6997t1BH/ng0fMm7nr9neayJTbtWL0MoCF47wPSUoKIi6ujpEhISEBJ566inmzZvHjTfeyO9+97s2659r5rizectMcnrNwY+NmnoFm0c/wLhT69j42N0dnhTo0L6tDFx6J2WOaAYv+ieOC7SPKtXT5OfnM2TIEAIDAykoKOCKK67gnXfeAcAYg4i0ec65Zo47m7fMJKfFwc9d9KXvsyb+dqaUv8H6/7mLxoZ6l56Xu301Yf+6FoMgt71K1IBBHk6qlHfZvHkzp06dYtq0aWzatIlZs2ZRU1NDTk4OiYmJbdY/38xxZ/OWmeSsFwcR+YWIbBeRrSLygYjE287kT8ThYOo9S1gT11wg9vz3PMqK8s+7vnE62fDmX4l99XqaCODkzW/rzW7KL33++ec8+eSTpKSksGnTJiZOnMgll1zCo48+SkZGRpv1LzRz3Nm8YiY5Y4zVf0DfVj9/G/hfV543ceJEo9xr3WtLTO1P+5uTPx1oVj/xPVN0cM8Xj9XX1ZqtH//b7PzVxcb8rK/J/uV0U1KQYzGt8me7du2yHeEMN910k2lqajLHjx834eHhZteuXebAgQNm9OjR7T43MTHRlJaWnrFs8+bN5tZbb233uddff73Zs2fPeR8/1/sEbDQufMdavyBtjKls9Ws44JvzlvYAF13/bQrHXEbpa//FtIK/w9N/5xh9qZVeRDvLGSeNlBPB2rQfMvnGH2iXVaVanL7XIDIykqqqKgAKCgqoqKhg/PjxZ9zrcNrpJqmGhgYcjjMbcVrPJHe+ex08PZOcV8whLSK/Am4HKoDZxpjS86x3H3AfwJAhQybm55+/+UN1zeG83RSsew3H0WwcTXU0hMfSa9jFjLz4WkJCL9xmqpSnefsc0t6iK3NId0txEJEPgXONp/BjY8ybrdZ7EAg1xvysvW1OmjTJbNy40Y0plVK+QouDa7pSHLqlXcAYM9fFVf8FLAXaLQ5KKaU8xxt6K6W2+vUaYI+tLEop3+ENTeLerKvvjzdcUfyNiKQBTiAf+LrlPEopLxcaGkp5eTn9+/c/581m/s4YQ3l5eZdujrNeHIwxN9jOoJTyLYMHD6awsJDS0nP2XVE0F9DBgwd3+vnWi4NSSnVUUFAQQ4cOtR2jR7N+zUEppZT30eKglFKqDS0OSiml2vCKO6Q7Q0RKae7d1BnRQJkb49jg669B89vn66/B1/ODndeQaIyJaW8lny0OXSEiG125Q9Cb+fpr0Pz2+fpr8PX84N2vQZuVlFJKtaHFQSmlVBv+Whwetx3ADXz9NWh++3z9Nfh6fvDi1+CX1xyUUkpdmL+eOSillLoALQ5KKaXa8LviICJXiMheEckRkQds5+koEXlKRI6KyE7bWTpDRBJEZIWI7BaRbBFZbDtTR4hIqIisF5FtLfkftp2pM0QkQES2iMg7trN0hogcFJEdIrJVRHxu1i8RiRSRV0RkT8vfwjTbmc7mV9ccRCQA2AfMAwqBDcDNxphdVoN1gIhcAlQB/zDGpNvO01EiEgfEGWM2i0gfYBNwna/8P5Dm8aHDjTFVIhIErAIWG2PWWo7WISLyn8AkoK8x5irbeTpKRA4Ck4wxPnkTnIg8C3xmjHlCRIKBMGPMCdu5WvO3M4eLgBxjTJ4xph54EbjWcqYOMcZ8ChyznaOzjDHFxpjNLT+fBHYDg+ymcp1pVtXya1DLP586whKRwUAm8ITtLP5IRPoClwBPAhhj6r2tMID/FYdBQEGr3wvxoS+mnkZEkoAJwDq7STqmpUlmK3AUWG6M8an8wB+BH9A8wZavMsAHIrJJRO6zHaaDkoFS4OmWpr0nRCTcdqiz+VtxONeUUT511NdTiEhv4FXgO8aYStt5OsIY02SMGQ8MBi4SEZ9p3hORq4CjxphNtrN00QxjTAawAPiPluZWXxEIZACPGWMmANWA113/9LfiUAgktPp9MFBkKYvfammrfxV43hjzmu08ndXSFLASuMJylI6YAVzT0mb/InCZiDxnN1LHGWOKWv57FHid5iZjX1EIFLY643yF5mLhVfytOGwAUkVkaMtFoK8Ab1nO5FdaLug+Cew2xjxqO09HiUiMiES2/NwLmAvssZvKdcaYB40xg40xSTR//j82xtxqOVaHiEh4S2cGWppj5gM+03vPGFMCFIhIWsuiOYDXdcjwq2lCjTGNIvItYBkQADxljMm2HKtDROQFYBYQLSKFwM+MMU/aTdUhM4DbgB0t7fYAPzLGvGsxU0fEAc+29HxzAP82xvhkd1AfNhB4vfk4g0DgX8aY9+1G6rD7gedbDlLzgLss52nDr7qyKqWUco2/NSsppZRygRYHpZRSbWhxUEop1YYWB6WUUm1ocVBKKdWGFgellFJtaHFQSinVhhYHpdykZZ6KeS0//1JE/mQ7k1Kd5Vd3SCvlYT8Dfi4iA2gebfYay3mU6jS9Q1opNxKRT4DewKyW+SqU8knarKSUm4jIGJrHXqrTwqB8nRYHpdygZfrT52meWbBaRC63HEmpLtHioFQXiUgY8BrwPWPMbuAXQJbVUEp1kV5zUEop1YaeOSillGpDi4NSSqk2tDgopZRqQ4uDUkqpNrQ4KKWUakOLg1JKqTa0OCillGrj/wOcx/oiDgBOVwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Test functions and their derivatives definitions\n", "f1 = lambda x: np.cos (x) + np.sin (2 * x)\n", "f1p = lambda x: -np.sin (x) + 2 * np.cos (2 * x)\n", "def f2 (x):\n", " ret = np.ones (len (x))\n", " ret [x % (2 * np.pi) < np.pi] = np.pi / 4.0\n", " ret [x % (2 * np.pi) >= np.pi] = - np.pi / 4.0\n", " return ret\n", "def f2p (x):\n", " ret = np.zeros (len (x))\n", " ret [x % np.pi == 0] = np.nan # Nan values at discontinuities\n", " return ret\n", "f3 = lambda x: 1 / (1 + 25 * (x / np.pi - 1) ** 2)\n", "f3p = lambda x: - (50 / np.pi * (x / np.pi - 1)) / (1 + 25 * (x / np.pi - 1) ** 2) ** 2\n", "\n", "def PlotFourierDiffInterpolant (f, fp, N, title = \"\"):\n", " # Grid values\n", " xFVals = np.linspace (0, 2 * np.pi, N, endpoint = False)\n", " \n", " # Plot values\n", " xVals = np.linspace (0, 2 * np.pi, 10000)\n", " \n", " # Transformation and evaluation of the interpolant\n", " fkVals = FourierTransform (f (xFVals))\n", " fpkVals = FourierDiff (fkVals)\n", " fpInterpolantVals = FourierInterpolant (fpkVals, xVals)\n", " \n", " # Plot\n", " plt.figure ()\n", " plt.plot (xVals, fp (xVals), label = \"$f^\\prime(x)$\")\n", " plt.plot (xVals, np.real (fpInterpolantVals), label = \"$\\mathbb{I}_N[f]^\\prime(x)$\")\n", " plt.plot (xFVals, np.real (FourierInvTransform (fpkVals)), 'o')\n", " plt.xlabel ('$x$')\n", " plt.ylabel ('$f^\\prime (x)$')\n", " plt.legend ()\n", " plt.title (title)\n", " plt.show ()\n", "\n", "PlotFourierDiffInterpolant (f1, f1p, 10, \"$\\cos(x) + \\sin (2x)$ and N = 10\")\n", "PlotFourierDiffInterpolant (f1, f1p, 20, \"$\\cos(x) + \\sin (2x)$ and N = 20\")\n", "PlotFourierDiffInterpolant (f2, f2p, 10, \"Step function and N = 10\")\n", "PlotFourierDiffInterpolant (f2, f2p, 20, \"Step function and N = 20\")\n", "PlotFourierDiffInterpolant (f2, f2p, 50, \"Step function and N = 50\")\n", "PlotFourierDiffInterpolant (f3, f3p, 5, \"$1/(1+25(x/\\pi - 1)^2)$ and $N = 5$\")\n", "PlotFourierDiffInterpolant (f3, f3p, 10, \"$1/(1+25(x/\\pi - 1)^2)$ and $N = 10$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Chebyshev representation\n", "\n", "Exactly on the same model as before, and using the same notations as part 1, we wonder if $\\mathbb{I}_N[f]^\\prime$ is a good approximation of $f$, where:\n", "$$\n", " \\mathbb{I}_N[f]^\\prime(x) = \\sum_{n=0}^N\\hat{f}_nT_n^\\prime(x)\n", "$$\n", "\n", "**4)** Show using $\\theta$ variable that:\n", "$$\n", " \\mathbb{I}_N[f]^\\prime(\\cos(\\theta)) = \\frac1{\\sqrt{1-\\cos(\\theta)^2}}\\sum_{n=0}^Nn~\\hat{f}_n\\sin(n\\theta) \\text{ with } \\theta \\in ]0,\\pi[\n", "$$\n", "Then show that:\n", "$$\n", " \\mathbb{I}_N[f]^\\prime(1) = \\sum_{n=0}^Nn^2~\\hat{f}_n\\\\\n", " \\mathbb{I}_N[f]^\\prime(-1) = \\sum_{n=0}^N(-1)^{n+1}n^2~\\hat{f}_n\n", "$$\n", "\n", "**Answer:**

\n", " $\\mathbb{I}_N[f](\\cos(\\theta)) = \\sum_{n=0}^N\\hat{f}_n\\cos(n\\theta)\\\\\n", " \\frac{\\mathrm{d}}{\\mathrm{d}\\theta}\\left(\\mathbb{I}_N[f](\\cos(\\theta))\\right) = -\\sin(\\theta)\\mathbb{I}_N[f]^\\prime(\\cos(\\theta))=-\\sum_{n=0}^N\\hat{f}_nn\\sin(n\\theta)\\\\\n", " \\Rightarrow \\mathbb{I}_N[f]^\\prime(\\cos(\\theta)) = \\frac1{\\sqrt{1-\\cos(\\theta)^2}}\\sum_{n=0}^Nn~\\hat{f}_n\\sin(n\\theta) \\text{ with } \\theta \\in ]0,\\pi[$

We also have:\n", " $\n", " \\mathbb{I}_N[f]^\\prime(\\cos(\\theta)) = \\sum_{n=0}^Nn~\\hat{f}_n\\frac{\\sin(n\\theta)}{\\sin(\\theta)} \\text{ with } \\theta \\in ]0,\\pi[\n", "$

As:\n", " $\n", " \\frac{\\sin(n\\theta)}{\\sin(\\theta)}\\underset{\\theta\\rightarrow 0^+}{\\sim}n \\text{ and } \\frac{\\sin(n\\theta)}{\\sin(\\theta)}\\underset{\\theta\\rightarrow \\pi^-}{\\sim}(-1)^{n+1}n \\text{ (use$\\tilde{\\theta} = \\pi-\\theta$variable)}\n", "$ we get the result.\n", "
\n", "\n", "**5)** Write a function which computes the values $\\{\\mathbb{I}_N[f]^\\prime(x_j)\\}_j$ given the coefficients of $\\mathbb{I}_N[f]^\\prime$. Complexity should be a $\\mathcal{O}(N\\log(N))$.\n", "\n", "To save some time, we can use the following function which relies on the [Discrete Sine Transform](https://en.wikipedia.org/wiki/Discrete_sine_transform) and its FFT algorithm ($\\mathcal{O}(N\\log(N))$ complexity) and computes $M$ values $\\{v(\\theta_j)\\}_j$ for a given set of $M$ coefficients $\\{\\hat{v}_m\\}_m$, related to each other through the following formula:\n", "$$\n", " v(\\theta_j) = \\sum_{m=1}^M\\hat{v}_m\\sin(m\\theta_j) \\text{ with } \\theta_j = \\frac{\\pi (j + 1)}{M + 1} \\text{ and } j = 0,...,M - 1\n", "$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "import scipy as scp\n", "import scipy.fftpack\n", "\n", "def InvDST (x):\n", " return scp.fftpack.idst (x / 2, type = 1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def ChebDiff (fnVals, thetaVals):\n", " fpValsTmp = InvDST ((np.arange (len (fnVals)) * fnVals) [1:-1])\n", " fpValsTmp = fpValsTmp / np.sqrt (1 - (np.cos (thetaVals) [1:-1])**2)\n", " fpValsT0 = 0.0\n", " fpValsTP = 0.0\n", " for i in range (len (fnVals)):\n", " fpValsT0 = fpValsT0 + i ** 2 * fnVals [i]\n", " fpValsTP = fpValsTP + ((-1) ** (i + 1)) * i ** 2 * fnVals [i]\n", " return np.concatenate (([fpValsT0], fpValsTmp, [fpValsTP]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**6)** Compare by plotting the exact value of $f^\\prime$ and the approximation $\\mathbb{I}_N[f]^\\prime$ at the grid points in the following cases:\n", "* $f(x) = \\cos((x + 1)\\pi) + \\sin(2(x + 1)\\pi)$\n", "* $f(x) = \\begin{cases}\n", " \\frac{\\pi}{4} & \\text{if } -1 \\leq x < 0 \\\\\n", " -\\frac{\\pi}{4} & \\text{if } 0 \\leq x < 1\n", " \\end{cases}$\n", "* $f(x) = 1/(1+25x^2)$\n", "\n", "If we have the time we can also plot the continuous function $\\mathbb{I}_N[f]^\\prime$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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6OWguY9nuZdSZ2takqTPVsWz3MqvO92FGHlX1TSyZPrjzA6Y9AGXZcHxDj+dqSQ57c3Vy0Cxz8uRJfH19mThxYpvnWzYHuv/++5k4cSLe3t6UlJSQmZnpUpsF6eSguYzC6sJePd8dKSWvb8lmdEwQkxNDOj8oZSH4hUFGz11LIX7eJIT6sl+PO2itlJSUcO+997Ju3bpOXx86dCgZGRnnvm69OdCLL75IRkYGsbGxAKxdu5Yf/ehHQO83C7IHnRw0lxHtH92r57uz+9RZDhdWcvv0wYiuxiw8vWHcTXDkE6jpeZrqqOggjpyu7HUsmvvauHEj999/P+Hh4T0ee+TIEWbPnk12djaTJk2iurq6zeuenp5tNgtqXQp8zpw55xLQ448/zkMPPQTAddddx4oVK2z17bShk4PmMpZOXopRtL1TMhqMLJ28tNfnen1LNoE+nlw7Mbb7AyctAVMD7Huvx3OOiArkREk19U09j1FoA0NZWRknTpzo0HXUmZbNgX7zm9+wZ88e/P3927zeUmOpq82Cfve737FixQr27NnDX//6V8C+mwW5xGY/mgawMGk+fPJzlgV4UoiZaP9olk5eysLkhb06T2lVPWv2FXLr1AT8fXr4EY8eB9HjVdfStO4LoA2PCsBklpwoqWZkdFCvYtLs6JNHoXCfbc8ZPQ6u/GOPh3l5eVFfX48QgoSEBF5++WXmzp3L4sWL+fOf/9zh+M42B2rPVTYL0i0HzXUcX8/C4hw+S01j7117+ezGz3qdGADe2ZlLg8msVkRbYuISKPgWig51e9iIKPXLd/R0VbfHaQNDdnY2iYmJeHp6kpOTw/z581m9WtULlVJ22p3Z2eZA7bnKZkG65aC5jj3LwS8cRvY+IbQwmSVvbM9m2pBQhkdZeCc15nr49FE48CFEjurysOQIfwwegqOFlTDB6hA1W7PgDt8edu/ejY+PDzNmzGDXrl1ccsklbNy4kePHjzN4cMcbk642B2qv9WZBRqOxzWZBDz30EGvXruWKK64A7LtZkG45aK6h5gwc/RTG3wQG63/QNx0tJudMLXfMsLDVABAYpVZhH3hf7R3RBR9PA4PD/DiqB6U14JtvvuGll15i2LBh7Nq1iylTpjBr1iyeffZZJk+e3OH47jYHas8VNgvSyUFzDQc+UAPDE27p02mWb80mPMCHeaN7OcNpzHVQchSKDnZ7WEpUIMeKdLeSBn/5y19YuXIlAEePHmXEiBFcffXVvPbaa50mh+42B2rPFTYL0slBcw3fvgWRo9XgsJVyztTw+ZEibrkgweJtQM8ZdS0ID5WkujE8MoDsUj1jSWvr7bffxsPDg5CQEKqqqhg1ahQGg4Hy8vIuZzLV1tYyceJEGhsb8fBo+/PqCpsF6eSgOV9pJuRuV62GPtRRWrHtFAK4bVpi798cEAFJF6vk0E3X0pAIf8xSJSJN605CQgI5OTltFsG15uvrS0ZGBnl5eYSGhnZ43dmbBenkoDnft2+pu/ZxN1l9irpGE2/vOMXc0VHEhvhad5Ix10Pp8W67lpLC1Nz0EyU6OWjuTScHzbmkhL1vQfIcCIqx+jTpews4W9PInTOSrI+lZUOhI590eciQcJUcTpZUd3mMprkDnRw058rfDWWnYNyNfTrNa1uzSY7wZ+bQMOtPEhgNcVO6TQ4hft6E+HlxolQnB8296eSgOdeh1SAMMGK+1afYm1vGtzll3NFdHSVLpVwJeTuh8nSXhySF+euWgwuQ3YwNaX3/93GJ5CCESBBCfCGEOCSEOCCE6H0xHa1/OrRKrTHw6zggZ6nXtmTj523ghinxfY8npXnO+NFPuzxkSLhODs5mNBopLS3VCaILUkpKS0v7tHLaVVZINwE/llLuFkIEAruEEOuklN1POtf6t+IjUHoMpn3X6lOcrW5g1bf53DAlniCjDVaJRo6G4ETVtTTlrk4PSQrz54M9edQ1mjB6dT2bRLOf+Ph4cnNzKS4udnYoLstoNBIfb/0Nk0skByllAVDQ/PdKIcQhIA7QycGdHVqlHvtQLuPtnTnUN5m5w9I6Sj0RQnUt7X4VGmrAu2Opg6Rw9Vx2aQ0p0bYtdqZZxsvLiyFDhjg7DLfmEt1KrQkhkoBJwDbnRqLZ3eHVEJcKQT2U1e5CQ5OZV745yYzkMEbF2LBKasqV0FQHJ77s9OWWGUsnSvRKac19uVRyEEIEACuBh6WUFZ28/oAQYqcQYqduTvZzZTmQvwdGXWX1KdL35VNYUcf9s2x8Bzl4Jnj5wfH1nb/cvNbhlF4Ip7kxl0kOQggvVGJYIaV8v7NjpJQvSClTpZSpERERjg1Qs63D6epx5NVWvV1KyYubTjA0wp9LRkTaMDDA00etls78vNOXg329CDR6knu21rbX1TQX4hLJQaj5hy8Bh6SUzzo7Hs0BDq+GiFEQPsyqt2/JLOVgQQX3XZyMh0cfp692ZthlcCYLzpzo9OX4QX46OWhuzSWSA3AhcAdwqRAio/mPferQas5XXQrZ3/SpS+nFr7II8/fm+klxNgyslaGXqcfMDZ2+nDDIl9yzultJc18ukRyklF9LKYWUcryUcmLznzXOjkuzk6OfgDTDSOuSw7HTlXxxpJg7Zgy231TSsKEQkgjHO+9aamk56Hn2mrtyieSgDTCHVqm1BDHWbaf2z42Z+HoZbDd9tTNCwNBL4cQmMDV2eDl+kC81DSbOVDfYLwZNcyKdHDTHqq+EzC/U2gYrSl2cLKnmo4w8lkxLJCzAxw4BtjL0MmiohJztHV5KCFVrHfS4g+audHLQHOv4ejDVwyjrZin9c+NxvAwePDAr2caBdSJ5tqr71MmspfhBqiy4Tg6au9LJQXOsQ6vBLxwSp/f6rTlnanh/dx63Tk0kMsj6mjEWMwZD/AWdJoe4c8lBD0pr7kknB81xmurh6Fq1Atmj9wPJ//oyEw8h+O5sB7QaWiTPhoIMqCtv83SQ0YtgXy9ydHLQ3JRODprjnNik+vCt6FLKOVPDuztzuDE1nphgK3d6s0bSxWpmVfbmDi8lhPrqbiXNbenkoDnOoVXgHQBDZvf6rc+uO4qHEPzoUusWzVkt/gIw+MCJrzq+FKIXwmnuSycHzTHMJjiyBobPA6/ejRccKqjgw4w87r4wybGtBlCxJk5TrZ524psXwum1Dpo70slBc4yc7VBdbNWq6D9/ephAH09+MNvBrYYWSbPg9D6oOdPm6dgQX+oazZyt6bgOQtP6O50cNMc4tAoM3jBsbq/etjWrlC+OFPODOcMI9rPBZj7WGHKxejz5dZunY0NUCyi/THctae5HJwfN/qSEw6sg+RIwWr7vgsks+c3qg8QEG7l7ZpK9outZ7GTw8u/QtdTSxVVQXueMqDTNrnRy0OyvcB+Unep1LaU3t5/iQH4Fv1gwyrnbcXp6q3UZJ9sOSscEq5ZDYbluOWjuRycHzf4OrwbhASmWF9o9W93AXz47wvTkUK4aH2PH4Cw05GIoPgxVReeeCg/wwcsgyNctB80N6eSg2d+hVZA4AwIs36DpmXVHqKxrIu2aMQgrajDZ3JBZ6rFV15KHhyAqyEiBHnPQ3JBODpp9lWZC0cFedSntOXWWN7ad4o7pgxkZbcO9ofsiegL4BHXataTHHDR3pJODZl+HV6vHkQstOry+ycTP3ttLVJCRH88bYcfAesngCQnTIHtLm6djgn11ctDckk4Omn0dWg3R42GQZXsv/OPz4xwrquL3i8YRaHTS1NWuDJ4BJUfUTnbNYkKMFJbXYTbrhXCae9HJQbOfigLI3Q6jrrHo8IP5FfxzYyaLJscxJyXSzsFZIXGmeszZeu6pmCAjDSYzZ2r0pj+ae9HJQbOfI+nq0YJV0XWNJh55O4MQP2+euGq0nQOzUtxkVWepVRG+mJDmtQ5lumtJcy8DKjmkZ6Uz7715jH91PPPem0d6VrqzQ3Jvh1ZD6FCIGNnjob9LP8SR05U8c9MEQvy8HRCcFTx9VII4dX7cIbZ5IVy+XuuguZkBkxzSs9JJ25xGQXUBEklBdQFpm9N0grCX2rNqZs+oq3rcDvTT/YW8vjWbB2YlM3uE5dNdnSJxBhR8Cw3VAESfWwinWw6aexkwyWHZ7mXUmdr+AteZ6li2e5mTInJzRz8DcxOM7H7vhpwzNfx85V7GxQXzk3kpDgquDwbPVN9X7g4Awvy98TZ46JaD5nZcJjkIIV4WQhQJIfbb4/yF1YW9el7ro0MfQ2AMxE3p8pCahibuf20nUkr+duskvD1d5sexawlTAXFuSquHhyAq2EePOWhux5V+G18B5tvr5NH+0b16XuuDhho4vkGtbfDo/EdMSslP393L0dOVPH/rJJLC/R0cpJWMwRA9Fk61GpQO9tXdSprbcZnkIKXcBJzp8UArLZ28FKOh7SYzRoORpZOX2uuSA1fm59BU2+2q6L9/fpz0fQX8bP5ILnHFaavdSZwJuTvBpPZxiA026m4lze24THKwt4XJC0mbmUaMzyCElMT4hJI2M42FyZat3NV64fBqMIZA0kWdvvzOzhyeWXeU6ybG8t1ZyQ4OzgYGz4DGGjUwDUQFGzldUad3hNPciqezA+gNIcQDwAMAiYmJvX7/wuSFLPSJgRfnwC1/hmTLq4RqFjI1qu1AR1wJho4rnDccOs1j7+/j4uHh/PnGCa5RVK+3WhbDZW+G+FSig4w0miRnaxoJ9XfRabia1kv9quUgpXxBSpkqpUyNiLByyqN/uHqsKbFdYNp5J7+GunIY1XGW0tasUn74xm7GxAbxr9un9I8B6M4ERkFo8rn1DlFBejqr5n766W9nH/g1J4dqnRzs4tAq8PKDoZe2eXrz8RLu/t924gf58fLdFxDg068arR0lzlTJQUqignwAOF2pk4PmPlwmOQgh3gS2AClCiFwhxHfsciFvP/D0hZrSno/VesdsVuMNwy5X/87Nvj5Wwj2v7CAx1I+3HphOeICPE4O0kcRpaqFf6fFzLYeiCp0cNPfhMrdvUspbHXYx/3CHtRzSs9JZtnsZhdWFRPtHs3TsfSwcPA98QxxyfYfK2QZVp2H0teeeSt9bwCPvZJAc7s+K+6YR5g6JAVT5boCcbUSMUz+6pyvqnRiQptmWy7QcHMovzCEth05Ldmx5kvS/j4LnxsGXT0N9ld3jcJhDH4PBG4bPQ0rJi5uy+OEbuxkfF8yb9093n8QAEDZcrXnI2Y6Pp4FQf28KdctBcyMDMzn4hztkQLrTkh0eHiyLHQxhw+CL38K/L4T8PXaPxe6kVOMNQy+lwTOAJz46wO/WHGLhuBiW3zeNQe42i8fDA+KnQs52ACIDfXS3kuZWBmZy8Atrs2GLvXRZsqOpBu74AO5eA2YT/G8hZH5h93jsKn8PlOdQlnQFt7ywhde3ZvPdWcn87dZJGL0Mzo7OPhKmQfEhqC0jOtiou5U0tzJAk4MDWg6mRqJl53P4z5XsSLoQvrMOBiXBW7dB3i77xmRPhz5GCgOL1odwpLCSf9w2mccWjMLDox+uY7BUwlT1mLuTqEC1EE7T3MXATA7+YWqFa3PZZbvY8BRLi4swirYLwTqU7AiKUa0I/3BYcROU59kvJjuprW+idMd7fN00Co+AMD568EIWjo9xdlj2FzcFhAfkbicqyIeSqnqaTGZnR6VpNjEwk0NA85171Wn7nD8/A7b8nYUpi0m76DfE+McgEMT4x3ResiMwCpa8B421sPI+MDXZJy472JV9hh88t4Kw+hzKk65k1YMXMSwy0NlhOYZPAESNgZxtRAUbMUsoqdLbhWruwWWmsjpUYHNyqCxUK11tyWyC9P9TXVdzn2Khb4hl9ZsiUuCqZ+GD78JXf4FLHrVtXDZWWlXPnz49zDs7c3k8YDMSwVU33Q/ebjq+0JWEafDtW0RNVi3E0xV15zYA0uyjw/TwyUt1jTQ7GJgth8DmLo9KO+zlsH+lGjuY99ver2WYcAuMWwybnobTB2wfmw00NJl55ZsTzPnLRt7fncd3Lx7CPSF7EIkzVAtooEmYBg1VDDZlA+jprHamd3R0nAGaHFq1HGzJ1AQb/whRY9WHvDXm/0nNn//4IdUKcREms2Tlrlwue3YjaasOMi4+mE8fvpjHppgxlByBcTc4O0TniL9IL0EEAAAgAElEQVQAgKiKvYBeJW0XZjMcWw+rHmbZpl+69Y6OrrTP/cDsVvIdBAYfqCyw7Xn3vQNnMuHmFV1uctMj/zCY/0d4/37Y8RJMe8C2MfZSo8nMmn0F/P3z4xwrqmJMbBD/u3ssl6REqIqq698DYYDR1zk1TqcZlAT+kQQU78LgkaCns9pa7i5Y/TAU7gWfIApjOm+N9/sdHc0m0jf8nLT8z6hDlX5vaRUBTuk2G5gtByFUF4gtWw5mM2z6C8RMUDug9cW4xTBkNnzxO6ix2/5H3aqoa+SFTZnM+vMXLH0rAwn8c8lkVj14EXNGRqrEIKXqRhs653y124FGCEiYikfOdiICfPR0Vlva/Rq8fIWqZnD9f+Cnx4kO6HwWXLRXP54EISWseohl2ennEkMLZ7aKBmZyADXuYMuWw/F1qtUw8yH1gdEXQsD8P0B9BXz5J9vEZwEpJXtOneWx9/cy4/cb+P2awySF+fPy3al89vAsFoyLabtuIXcHlJ2CsTc6LEaXlDAVzp5gRECtHnOwle0vwsc/giEXw/e+VuNxnj6d7+iIYGleFnz1rJOC7aNd/4M9yyn06rwjx1mtooHZrQRq3OH0Qdudb+u/IDC2TdG5PokaA1PuVr8kqfeq2Ux2Ulhex+q9+byzM4ejp6vw9TKwcHwMd89MYmxccNdv3Pee6p7ra0upv2suwjfNK5OPK4KcHIwbOPAhrPmJ2jDqptfA83zplZbulTazlSb+kIXfroINT4K3P0z7rrMi773K07AuDZIuJtq/gYLqjjesztrnfgAnhxg4/rltzlV0CLK+gMue6HT3M6vN+SXsWwmfPQ5L3rXdeYH8slrW7Cvgk/2F7Mo+C8CEhBD+sGgcV42PIdDYw/dhaoIDH8CIeWAc4B+IMRPBw4vx8ggvVo5ydjT9W/ER+OiHaqB/8SttEkOLhckLO/bBD1mo1gl98nMIHQrDL3dMvH319bPQWA1XPcfSiiOkbU5rM+Bu9PB22j73Azg5RENDpaqK6hPQt3Nt+w94GmHKPbaJrYV/OMz6Max7Ak5+o8ptWKmhycyu7LNsOlbMpqPFHMivAGBUTBA/mTeC+WNjGBbZi3+Hk19BdZHuUgLwMkLsRIZWHKCsZiF1jSb3rSdlT00N8O496ndp8avq39VSBk9Y9AK8NA9W3gsPbLT9GiZbqyyEXa+oLrPwYSwMHwa0ahU1NbI0/AKnreEYuMkhKE49VuT1rcumoUZ1r4xZBH6htomttakPqC6rDU/CvWstHs9oaDKzP7+cXSfPsu1EKVsyS6luMOHpIZg8eBA/m5/ClWNjGBLub11cGW+oKbcjrrDu/e4mfipR21/EiyaKKupJDPPr+T1aW1//FYoOwK1vQ3Bc79/v7Q83L4cXZsPK+9Xvi8GFP+K2/F3tuX7xj8891aZV9Oo1kLPPScEN5OQQkqgey071LTkcWqVaIJOW2Cau9rx8YfbPYPUjcHQtpMzvcIiUkryyWg7kV5CRU8auk2f5NreM+iZV52dwmB/XT45j1vAIZgwN67nLqCd15WrvholLVHwaJEzFsPUfjBYnOV1Zp5NDbxUdVos/x97Y6c+4xUKHwMJnYeV34JvnYNZPbBejLTU1qBuskQu6buEMn6u6lCsKVA02BxvAyWGwejx7sm/nyViu5roPtr7Lp0eT7oDNf4MNT1GbdBlZpTUcKazkQH4FB/MrOFhQQXltIwCeHoIxccHcPn0wqYMHMSVpEJGBNi7nsH8lNNXZLyH2R82D0qkeR/V0Vmus/YW687/SBrPzxt0Ih9Nh4x9gxHyIHtv3c9ra0U/VFN1Jd3Z9TOJM9XhqC4xd5Ji4Wul1chBC+AN1UkrXWb5rjYAoNdOm7JT15yg7BSc2qYHjvk5fbaWhyUxBeS3ZpTVkFVeRVVJNJDfzYNEfePTJJ/jIfBEAPp4ejIwJYsG4GMbEBjE6NohR0UH42ru+0Z4VEDkaYifb9zr9SVAM5qB4Jp09RmG5Tg69kvk5ZG6Aeb+z3XqZhc+o3830/4N7PrV+Uaq97FmuJsUMvbTrY2LGg5cfnNrqmslBCOEB3AIsAS4A6gEfIUQxsAZ4QUp5zK5R2oOHB4QkQFm29efIeBMQakDJQiazpLS6nuLKek5X1JF3tpbcslryy+rIO1tDXlktRZX1yFZrYQJ9PBkaPpPrfIbxlPEjrpj/PYbHhDIk3B9Pg4N/6IuPQN5O9Ytsw4ToDkTiNKaUf8H/KvUqaYuZzWrCRUgiTL3fduf1C4W5T8FHP4CMFTD5Dtudu68qCtS6qAsf7n5MxOClysLnbndcbK1Y0nL4AlgPPAbsl1KaAYQQocAc4I9CiA+klMvtF6adhAyGs1YmB7MZMlZgHjKLMq9oyoqrKKttpLy2kfKaRkqq6imuUkmguLKekqoGiivrOVNdj7ntIki8DILYEF9ig325eHgEcSG+xA3yJWGQH0Mj/IkI9FErko/+Ad5YzIKGzyDKhr9IvbHndfDwhPE3O+f6LkwkTCNm/0rqSk4BekqrRQ5+CIX7YNF/wdPGe4xPuFWtsl73hFqLY48JI9b49k2QZph0e8/HRo+HnS+pqeMOHly35GqXSykb2z8ppTwDrARWCiH6PLlfCDEfWAYYgP9KKf/Y13N2R0pJU1AChrw9ZJdUU13fRFV9EzUNTVTVm6iubzr3nHo0UVGnPvjLaxtJqtrN3+qzeaRoIR/9Zl2n1/A2eBAR6EN4oA9xIUYmJgQTEeBDRGDLHyPxg3yJCPCxbMe04XPV2MaXf1Y/+H2dgttbjbWqOZyyAAIiHHvt/qC5CN+gMxmAnsXVIynVPP+w4fbpNvHwUN1L/5mlxh8WPG37a/SWlOp3KHEmhA3t+fjocWp870ymXRfCdqbH5NCSGIQQzwGPSCllV8dYSwhhAP4BzAVygR1CiI+llDZcwqz8Yc0h3th2iuqGJh7wqONRrzNc9ZdPqKbrWTe+Xgb8fQwE+XoR4utFRKAPdzZ9TV2jP8Nn30paQCAhft4E+3oR7OdFsK8X4f4+BPl6qjt+WxECLn8SXroctvwDLvm57c5tif0rofZs/1qB6kDptTk8lxBHoWE5n7y3Qe8z0JPj61Wr4dp/gIedxsmix8LkO2HnyzDte5Z9INvTqa3qg97SWVQtg+mF+1wvObRSBXwshLhFSlkthJgH/FpKaYtpOlOB41LKLAAhxFvAtYDNk8PYuGBuTI3H39uTcRVT4MBb/G1eEI1R4wnw8cTfx5MAHwP+zX/39/bE0P6uvr4S/vIVTFzMg1eMt3WI3Uu4AEZdDZufV2U1HHUHL6Va7Bc52r4zs/qp9Kx00rb+ljpP9SHn7Iqa/cJXz0BQPIy7yb7XueQx2PsOrE+Dm1+377V6smc5eAdYXmYnPAU8vOD0fjULy4EsTg5SyseFELcBG4UQ9UA1YKvtyuKAnFZf5wLTbHTuNq6eEMvVE2LVF8XAAbg07CyM6UX9kgMfqj2oLekztIfLfg2H18CmPzuuqZy7Q5VNXvisHojuxLLdy7rcZ0Anh07k7FBTNOf/qdMSGTYVGAUXPqS6lk5tg0S7fLT0rL5SlZwZd4OatmsJT2/V2ik+at/YOmHxVBchxGXA/aikEAE8JKX8ykZxdPZp06H7SgjxgBBipxBiZ3Fxcd+vGpqsBleLD/fufRkrVD9pcx+zw4UPP99ULs10zDW3/gt8gvRAdBe6qpzZ7/cZsJftL6ifJ0fdYM14UE1f/+xx6Ngz7hgHPlR1lCb1cuZU6FDVFeVgvZkH+UvgV1LKS4AbgbeFEN1M0u2VXCCh1dfxQH77g6SUL0gpU6WUqRERNuhOMXhB2DA1PdNSpZnqjmfSEufeQV/yKBi84fPf2v9apZlqVknqPY4fBO8nuqqc6ayKmi6tqkj9PDlyUoVPAMz5hZoWemiVY67Z3p7lED6ix5vK+iYTZ6obOFVaw4H8cvI94zCVZrH621ze2ZnDq5tPkldWa/dwe9OtdGmrv+8TQlyJmq000wZx7ACGCyGGAHmodRW32eC8PYtIgcL9lh+fsQKEB4y3fG2DXQRGw4wfqpIDMx9U86Ht5Ztlqt9z+g/td41+bunkpR0rahqMTquo6dJ2vwqmBrjgPsded+LtsOWfsOEpNePOTlNDTWZJeW0jZ2saKKtppKymgabTR7giZytfJv6IdR/tp7Kuiaq6Jirr1WNV88zIqromGkzmNue7xWDmj14N/OHN9eShbooTQ/2IC7Fv6RpLFsGJLmYoFTR3NXV5jKWklE1CiAeBtaiprC9LKQ9Ye75eiRip7iQa63quAmk2qYVvwy53Sq2TDmY+BDv/B58+Zr9VoBX5al72pDtU363WqZZxhed2LaOwuoBok5mHL/q1Hm9oz9SkfmaTL4GIEY69tsETLv81vHWbWq+TankV5ZbFq0UVbdcvFVfWU1RZd+7vZ2saqahr7NBz9ajnmzQZPPjZ8dE0+hYSZGyZ/OJJbIiRAB9PAoyeBPh4EWj0xN/bQIDRiwAfT+LKJKz/L2/dGAnJl+DnrWZO2pslqfNzIcT7wEdSynO1JoQQ3sAMIcRdqIVyr/QlECnlGtSKa8eKGqMWpJw+APE93H1nfgGV+TD/946JrSfGIJj7pKp//+2b9ql19PVfVVK88CHbn9vNtFTUfCrtJzzBizBotLNDcj1HP1WVkK/8s3Oun7IAEqbDxj/C+JvODQw3mczkl9WRW1ZD7tlaVbngbC15zV8XltfR1H71KhBk9CQi0IfIQCPj4kMI9fMixM+bQc2PIX5eDDIKxr69FHPsPLbcdqtla5paq5gM6yFB5kOo4wo6WpIcjgEm4AMhRAxQBhhRd/ifAX+VUmbYL0Q7i0tVj7k7ek4OGcvBd5D6AXMVE26DXa82rwJdoOKzlTNZ6i5v8h2quKBmkRz/sWraRs4O199TwNEyVkBAtCqI5wTltU0UjPsxI9cs5svXnmKF92KySqrJLq2m0XT+w18IiGpepDpl8CDiQnyJCTaeW7wa2byQ1aJ9Ow6vgZpiDKl3Qm8TA6gaTJ6+cOZE79/bB5Ykh5lSygeEEPcBiaiZSrVSyjL7huYgwXHqHz9vZ/fHVRWrSo9T7rb9Mv++aFkF+sJs2PAbuMqG++h+/ls1aH/JY7Y75wBQGzKcmhpf/HK2wQQ9u+ucqiJVdn7mg3YvBSGlJPdsLQcLzlcuPphfcW4g9wWvKczMeZVlgReRHBnD5aOiSA73J36QL/GD/IgONuLtaaNu2t2vqZlSw+dZ934h1OdURZ5t4rGQJf9Da4UQW4Ao4E7gW8Ax4wGOEjcFcntIDrtfUYNoqd9xSEi9EjMepn4Xtv0bxlyvNmXvq1Pb1IroWT9Vg9+axSKD/TlQMIILnFQwzWXtexekSbV2bayu0cTe3HJ2Zp9hd/ZZdmWf5WyNKtwgBCSH+zN58CBunz6YEVEBpBiexf/NObw/5hu40o6Veiry4dhauHBp37YQDo6H8lzbxWUBS8pn/FgIkQxsBIYA1wBjhBANqEJ8/f/WKGEaHF4N5Xmd70BlaoQdL6tBtMiRjo7OMpf9Co59Bh9+H77/jdqlzVpNDbBqqVq9euHDtotxgIgKMrK1cSippz9E1FeCT6CzQ3I+KVWp97gpNvkdajSZycgp46ujxXx1vIR9ueXnxgSSI/y5fFQUExJCGBMbREp0IH7e7T/qotQaix3/henfs1+3acaK5iJ7fawKGxwPxzfYJiYLWdS2k1JmCSEul1KeW6YnhAgAXHAXDSsMnwvrfqXK6E65u+Prhz5WA9ELn3F4aBbz9j+/h+6an8L1/7F+HcY3y6D4ENz6ll7XYIWoQB++MA1HGMyQt0vdVAx0Bd+qLUAXWt/tWVxZz2cHC/nicDFbs0qpqm/CQ8CEhBDuuziZ1MGDmDx4EKH+Fq64vuQx2Puu6j694b9Wx9Ulsxl2vw5JF/e9plNwgtpzuqnB/ivKm/VmncPRdl9XAVttHpEzRIxU//hHP+uYHMxm2PQXtSLa1fdLjk+F2T+Hjb9Xd2jWFMg7tU2VGRizCFKutH2MA0B0sJE9ZrVZPDk7dHIAtSWmwafX1VcLymv5ZF8hn+4vZEf2GaSE+EG+XDMxllnDw5mRHE6wn5XdNUGxMP37qjLszB9BzATrztOVE1+q/WIu/VXfzxUUB0h1k+qgySEDd5vQ1oSAkQtJP/gGy969nMKaIqL9o1VVzZo6KDoIN7xkv8qRtjTrp+ou7dPHVJmN7naaaq+qCN67V22CdPVz9ovRzUUGGanAn+qgYfjnbHN2OM5naoT971k8m662wcTaA4W8uyuHzZmlSAkjowN56NLhXDkumpSoQNtVO77oYdj1P1j3a7jzQ9ucs8W2f4NfuCqU2VfB8eqxPFcnB0dLj04mrTCIuprTQEtVzV9DWS0Lo8aqgd7+wMMDFv0HXroC3rwNlrxr2QB1XQUsvwFqz8A9a/o2ZjHARQWpxZQFwRMYlrtBtT5dbZtKRzrxpdovedzibg87erqSVzafZFVGPpX1TSSE+vLwZSO4ekIMyRF26t40BqsbqrW/UNuV9uZmqjslx9Wajtk/73lxrSWCm6sLOXBQWieHZssyV1LX7he4zlTPMqOZhfOX9Y9WQwufQLjzI3j1KlixGK79O+n+vizbvYzC6sLzraKW1buVhfDGTaqFdOtbEDvJufH3cxEBaqpzlnE0w+pWQukxh9fidyn7P1BF9oZd3uElKSVfHi3mpa9P8NWxEnw8PVg4PobFUxKYNiS09wvGrHHBfbD136r1MOQS2yTybf9Stc9sNbuxZaKMTg6O12VVTS9P1Zff3wREwF2r4Z07SP/0R6RFRlKHqtlybq8Bs4mF1bXqrqmxFm55Uw3Oa33i7elBeIA3+8VI5gHkbB+4yaGpXpWnGXlVm/VBUkrWHjjNc+uPcriwkshAH356RQq3Tk20fEDZVjx94NLH4YMH1PTt8d23cHpUXarGWMbeaLuSM16+4BMM1TaoRm0hnRyaRftHU1Bd0MnzLlBDyVoBEXDXKpa9eRF1ppo2L9WZ6li26RcsPJWjWgrX/hOidLkHW4kMNHKgPkj1sedsc60N7h0p83OoLz83EC2lZMOhIv66/igH8itIDvfnmcUTuHpCrO0WnVlj3GLY8nc1a3HEvL51q25+Xt1s2brkTECkauU7yADuCG1r6eSlGA1t+wbdoqqmwYtCU+flfQsNAm5eDvdt0InBxqKCfCisbFDlmXN3ODsc59m/UiXI5Es4UljJkv9u477XdlJV38SzN03gs0dmccOUeOcmBlBdSVcvg6rTqnvJWlXFaq+KsTdA5CjbxQdqlXVVkW3P2Q3dcmjW0v/eZb98P9Ztq8gWMym0DqKDjezLq4CJU9XixNqztq171R801MCRT2gYdT2/Tz/K61uzCfDx5Klrx3Dr1ES8DC52bxo3Gab/QLUgxt0ISRf1/hybnoamOrXfiq0FRKqZiA6ik0MrLVU13Y3ea8DxIgONlFbX0xR7gfoly9058MZzjn0GDVU8fGAon1afZMm0wfzf3BEMcvSYQm/M+aWqlvDB9+F7m3qX0Av3wY4XYco9ahq5rTm45eBiqVuzh4XJC0mbmUaMfwwCQYx/DGkz09wyEbqKqCAjUkJx0Fi1OVTOwKqzVF7byLef/o9iGUyW3wQ+/OGF/Oa6sa6dGAC8/eCGl6GyAD78geVbipqaYPUjKplcZoNFb50JiISGSmiots/529EthwHCXVtFrio6WM3MKawzEBM1Vg1KDxB7c8t4ZPkWVtdu5lD0NXx0/2x8PPvRVPD4KTDvN/Dpo/DF79RMpp58+Uc1tnTDS/brPgxonvlUVQShQ+xzjVZ0ctA0O4gMVJMbTlfUQcJU+PYttWlSf1ov00tSSl7fms1vVx9ike8efEUDk6+4E/pTYmgx7Xtq3c+mp9XMpZk/avNyelb6+fFJryCW5mWxcOLtaqzCXhycHHS3kqbZQcsq6dMV9arqb0OV+rBxUw1NZn7y7l6e+OgAFw4L48mUE2AMgcG22GLeCYSAq56D0dfBZ4+rYpaNatZfelY6aZvTKKguQCIpaCwnLSKc9NEdF/nZVECkeqw6bd/rNNPJQdPsIMzfG08PoVoO8ReoJ9103KGspoE7XtrGyt25PHz5cF66fSI+mZ+pwo192cPA2TwMcOPLMP2HanrqP6bCN8tYtv1PbSZ3ANQJybK9/7JvPOdaDjo5aFq/5eEhiAz0US2HQUngH+mWySHnTA2L/rmZPafKWHbLRB6+fAQeOZuhrkytiu7vPAxqz/i7VqkP53VPUFh3ptNDu6qyYDN+YYCA6hL7XqeZTg6aZieRQUbVchBCjTu42c5wJ0qquek/WyitbmDF/dO4dmJz/Z9Dq9Wex7YqYucKhsyC+9bDIweJNoZ1eki0v513TDR4gm8I1OjkoGn9WnRLcgCVHM5kqRW0buDY6Upu+s8WGprMvHn/dC5IClUvmM1qr/Vhl6lpoe4mOI6lU3/mvGoKfmGqwq0DOD05CCEWCyEOCCHMQoh+WOFO0zoXFeRzPjnET1WPblBKI7O4ilte2IoA3npgOqNjg86/mL9HbUjjxivvnbpuyIHJwRWmsu4HFgH/cXYgmmZLkUFGKuqaqG0w4Rs7ETy81HqHkQucHZrV8stqueO/2xBCJYYO+ywcXgUenq6/a2IfOW3dkF8YlJ1yyKWc3nKQUh6SUh5xdhyaZmvnp7PWqZLLMRP69aD0mWo1K6myrolX7pna+QY8h1armkQDrY6UowykbiVNc1fRrZMDqHGH/N1q28x+pr7JxH2v7iD3bC3/vSuVsXGdlLQuPqI2NnKHWUquyi9MzVaytKxHHzgkOQgh1gsh9nfy59penucBIcROIcTO4mL3GNjT3FdUUHMJjdbJoakOCvY6Marek1Lyi/f3s/tUGX+9eSLTkjufrcOhVepxpC7TYi/pTWeZFxvB+NcmMO+9eaRnpdvtWg4Zc5BS2mTpoJTyBeAFgNTUVPunTk3rg8jmlkNRRb16InGGejy1WdXv6Sde+voEK3fnsvSy4SwY183mV4dXQ1wqBMU6LrgBJD0rnbTir6jz8gTk+R0dwS7jH7pbSdPsJMjoia+X4Xy3UmA0hA6F7M3ODawXvj5Wwu/XHOLKsdEsvaybMtTluWqm0ijdpWQvy3Yvo042tXmuzlTHst3L7HI9pycHIcT1QohcYAaQLoRY6+yYNM0WhBBqR7iKVqUWBs9UycFsdl5gFiqurOfhtzMYGhHAMzdNwMNDdH3w4ebujZHuO4XV2brc595OK7OdnhyklB9IKeOllD5SyigppXvPgdMGlMgg4/luJYDBF6rSEsWHnBeUBcxmyf+9k0FlXSN/v20yft499EAfXg3hKRA+zDEBDkBdrcC218pspycHTXNn0UHGji0HgJPfOCcgC/17UyZfHSsh7ZoxpEQHdn9w7Vn1/eiBaLty9D73Ojlomh3FBKvkYDY3z58YNBiCEyDbdZPDgfxynv3sKAvHxXDLBQk9v+HYOpAmnRzszNErs11hhbSmua3YEF8amsyUVjcQEaimtjJ4JmR+oeaqi2768Z2g0WTmp+/uJcTPm99dPxZhSXyH0yEgGmIn2z/AAc6RK7N1y0HT7Cg2xBdQZSfOGTwTqougNNNJUXXt3xszOVhQwW+vG0uInwX7PTfVw/H1kDIfPPTHiTvR/5uaZkcxwaqPuG1yuFA9uljX0pHCSp7//BhXjY9h/lgLBzlPbFK73OlV0W5HJwdNs6O4lpZDeatB6bBh4B/hUusdpJT88oN9BBq9ePKaMZa/8XA6eAeo/Q40t6KTg6bZUYifF75ehrYtByGa1zu4Tsvhgz157Mw+y8/npxAW4GPZm8xmOPKJ2rvB08L3aP2GTg6aZkdCCGJDjG2TA8Dgi6A8x2Hll7tTUdfI79ccZkJCCIunWDA7qUX+bqgqhBQ9S8kd6eSgaXYWG+LbSXJoXu/gAl1Ly9Yfo7S6nqeuGdP9Kuj2DqeDMMDwufYLTnManRw0zc5ig33bjjkARI4GYwic/No5QTXLLK7ilc0nueWCBCYkhPTuzUfWQNKF4Bdqn+A0p9LJQdPsLDbEl+LKeuqbTOef9PBQm+Kc2OS8wICnPz2C0dODH89L6d0bSzOh+LDuUnJjOjlomp3FhqjprIXtWw9DZkNZNpw54YSoYPeps3x6oJAHZg0l3NJB6BZH1qjHfrzlqdY9nRw0zc5aprPmtR93SJ6tHk986eCI1NTVP35ymPAAb+67eEjvT3A4HaLGQUii7YPTXIJODppmZ+dXSbdrOYSPgMAYyHJ8cth4pJjtJ86w9LLh+Pv0sopOdQnkbNOtBjenk4Om2Vl08yrpgvYtByFU19KJTQ7d30FKydNrjzA4zI9bplpx53/0U5BmXWjPzenkoGl2ZvQyEB7gTX55bccXk2dDTQkUHXBYPBsOFXGwoIKHLh2Ol8GKj4DDa1Rl2ejxtg9Ocxk6OWiaA8SG+JLXvlsJVMsBHNa1JKXk+c+PkRjqx7UTrdjruaEGMj+HlCtdrqKsZls6OWiaA8QG+5J3tqbjC8FxEDbcYYPSXx4tZm9uOT+cMxRPa1oNmRugqVZ3KQ0AOjlomgPED/Il92wtUsqOLybPVjupmRrtGoOUkuc3HCMuxJfrJ8Vbd5KDH4NvqCr/obk1nRw0zQESw/yobzJTXFnf8cUhs6GxGnJ32jWGzZml7D5VxvcuGYq3pxW/+k31ajB65AIw6H3C3J1ODprmAImhfgCcOtNJ19KQi0F4QNZGu8bw7y8ziQz04aZUK1sNWRuhvgJGXWvTuDTX5PTkIIR4WghxWAixVwjxgRCilwVeNM31dZscfAdB3BQ4vs5u1z9cWMFXx0q4a2YSPp4G605y8GPwCTq/eE9za05PDsA6YKyUcjxwFHjMyfFoms3FDfJFCMgu7SQ5AAyfB3m7oTk+pp4AABEwSURBVKrYLtf/71cn8PUysGSalSuaTY1wJF3NUtJ7NwwITk8OUsrPpJRNzV9uBaxs82qa6/LxNBATZCSns5YDNJe9lmo2kI0VVdTxUUYei1PjLdsXujMnv4LaszDqGtsGp7kspyeHdu4FPnF2EJpmDwmhfp13KwFETwD/SDj2mc2v+9qWbJrMknsvtKKGUouDH4OXv9r1TRsQHJIchBDrhRD7O/lzbatjfgk0ASu6Oc8DQoidQoidxcX2aX5rmr0MDusmOXh4qNbD8Q1gaur8GCvUNDSxfFs2c0dFkRTub91JzCY4vFrF5+Vrs9g01+aQ+WhSysu7e10IcRdwFXCZ7HQi+LnzvAC8AJCamtrlcZrmihJD/SiqrKe2wYSvdyeDwsPnQsYKyNsJidNtcs2Vu/Moq2nk/lnJ1p/k1FaoLobRepbSQOL0biUhxHzg58A1Usoubqs0rf9LaJ6xlNvZSmmA5Dlq200bdS1JKXlt80nGxQWTOniQ9Sc68D54+qpBc23AcHpyAP4OBALrhBAZQoh/OzsgTbOHlumsXc5Y8g2BhGk2Sw47Tp7lWFEVd0wfjLC2DpKpEQ58oGYp+QTYJC6tf3D6Mkcp5TBnx6BpjtDtWocWI+bB+jQoy4GQhD5db/nWbAKNnlw1Icb6k2RthJpSGHdjn2LR+h9XaDlo2oAQ6u9NoI8nJ0qquz5o5NXq8XB6n65VUlXPJ/sLuGFyPH7efbgH3PceGINhWLfDhpob0slB0xxECEFyZABZJVVdHxQ+DCJGwaFVfbrWuztzaTRJbp/eh208G2rULKXR1+qFbwOQTg6a5kBDI/zJLOqm5QAw+ho4tdnq1dJms+SN7dlMGxLKsMhAq84BwLG10FAF4xZbfw6t39LJQdMcaFhkAIUVdVTVd7OWYdTVahvOI9Z1LW06VkzOmVpunz7Yyiib7XsPAqJh8IV9O4/WL+nkoGkONDRCzfjJKu6maylqLAxKsrprafnWU4QHeHPFmGir3g9AzRk1a2rsIvCwslCf1q/p5KBpDtSSHDK7Sw5CqNZD1pdQW9ar8+eV1fL54dPclJpg3Z4NLfa9C6YGmHib9efQ+jWdHDTNgQaH+eHpIXoedxh1LZgbez1r6e3tp5DArVP7MBANsOd1iJkI0eP6dh6t39LJQdMcyMvgQWKYH8eLumk5AMSnqq6lfe9YfO5Gk5m3duQwJyXy3GpsqxR8C4X7YNLt1p9D6/d0ctA0BxsaEdB9txKorqXxN6uupYp8i8677uBpiirrrd+zocXu18Hgoxe+DXA6OWiagw2LDOBkaTUNTebuDxx/MyDVrCELrNiWTVyIL5ekRFofXGOdaq2MulrtUKcNWDo5aJqDjYoJotEke249hA2FuFTY23PXUlZxFd8cL+W2aYkYPHpfRyk9K515781j/BsXMC/cn/T4kb0+h+ZedHLQNAcbHRMEwMH8ip4PHn8znN4Hhfu7PeyNbafw9BAsTu39RorpWemkbU6joLoACRR4eZJ2/B3Ss/pWwkPr33Ry0DQHGxLuj9HLg4MFFiSHsTeAwRt2v9rlIXWNJt7dlcsVY6OJDDT2Op5lu5dRZ6pre05THct2L+v1uTT3oZODpjmYwUMwMjrIspaDfxiMvg6+fQvqO++GWr23gPLaRm6fZt2K6MLqwl49rw0MOjlomhOMjg3iYEEF3Wx8eN4F34H6CrUwrROvb81mWGQA05NDrYol2r/zldRdPa8NDDo5aJoTjI4Jory2kfzyup4PTvj/9u49Ssq6juP4+7uLC4sXWER0EUFQxAskrhsqZmzeQjmCphWliWmalh1OaaXRScrsopYnj3VKu5iXsMQb3jIQ0KOJtBiXFQVWREUQSAS8scLutz+e33oedmZ2Z2bnspfP65w9+8zveZ7ffPY3z853nmdmnucYGHAE1P4JWhSTuje3suSNLZx7zOCsL+gztWoqvWzXU2T0Ku3F1KqpWfUnXYOKg0gRHD4welN62do0To9hBp+8MPpi2uvP7TLrrgWvUb5bKZ+ryvyN6GYTKo9n+uZtVFoZhlG5eyXTx05nwrAJWfcpnV/RrwQn0h0dMXAvykpLeOH1LYwfmcaV2o78Esz7GTxzEwwZC8C27Tt4aPE6Jh45kD7lu2UfZuFtTNjyNhMmP6TTZcjHtOcgUgQ9e5QyalAfatdsTm+Fst3hmMuiM6WuXwrA/YvW8uGOxvadmrvhXVjwOzhkvAqD7ELFQaRIqodUUPfmNrbvaExvhTFfg7I94Zlf4+7c9fzrHDmoD6MG9ck+xLO/gQ83w7jvZd+HdEkqDiJFUjWkgo8am6h7c2t6K5RXwJiL4cUHWbRgPvUb3+P84w7MPsC2dfDvW6LvUux/dPb9SJek4iBSJEcPic5dtDDdQ0sAx0+F8gp6z7+Gffcs44wjB2Yf4MlroWknnPSj7PuQLqvoxcHMrjWzpWa22Mz+ZWbt2NpFOo/+e/Tk0P325OmVGVwrurwvb1V9m8MblnDNiNeyv6DP6qdgyd/guG9GpwYXaaHoxQG4wd0/4e6jgUcAvYyRbqNmxABq17zT+jWlW/jV5uNZ5YMYv+bGjK8UB8BHH8DDU6HfMKi5KvP1pVsoenFw9/g5BHYH0vjKqEjXUDNiH3Y2Oc/W/y+t5d/Y/AEPLt3AvEN/TMn7G+GJH2R+p499F95ZA2fcDLuVZ76+dAtFLw4AZnadmb0BnEsrew5mdomZ1ZpZ7aZNGeyKi3RQRw+pYM+ePZi9fENay98ytx4z44zTJ8AJ34HFd8Oi29O/w0W3w+K74NPfhaEnZJVZuoeCFAczm2NmdUl+JgG4+zR3PwC4G7g8VT/ufqu7V7t79T777FOI6CJ5tVtpCeNH7sc/695q8yOtr739PjNfWMuXxwymsk851FwNB58Mj14Bq+a0fWfLZ8Ej34aDTtLhJGlTQYqDu5/s7iOT/DzUYtG/AWcXIpNIR3HWUfvzXsPONvcerv/nCnqUGJfVHBQ1lJTC2X+CAYfBjMmpLwrkDgtvg3sviD6y+oU7onVFWlH0w0pmNjx2cyLwcrGyiBTDscP2Zv++5dzx3JqUyzyz6n88umw936g5mH33il2zobwvTHkEBlXD/RfDPefC689D407Y2QCr58OdZ8JjV0Z7GV95AHruke8/SbqAjnBupV+Y2QigCXgNuLTIeUQKqqTEuPiEoUx/eDkLX93MmKG7nnr73e07mPbgMgb3683Xxw1L7KC5QDx7EzzzG3j5EbDwus+boFdfOO2G6NTf2mOQNFla55PvgKqrq722trbYMURy4sOPGqm5cR4VvcuYdfmnPv7+QlOT860Z/+XxuvXcc8lxCYUjwfatsGo2bHo5KhD7joThp+hTSfIxM1vk7tVtLdcR9hxEur3yslKunTSSS+5cxPfvW8rPPzeKxibnhw/W8eiy9Vx92qFtFwaAXn1g1Dn5DyxdnoqDSAdx6hH7ceWph3Djv1Yy56UNNDY5H+5o5IpTDuHr4w4qdjzpZlQcRDqQy08cTtXgCh5euo6y0hLOqhrE6AP6FjuWdEMqDiIdzNiD+zP24P7FjiHdXNE/yioiIh2PioOIiCRQcRARkQQqDiIikkDFQUREEqg4iIhIAhUHERFJoOIgIiIJOu2J98xsE9FZXLPRH0jvuoyFpVyZUa7MKFdmOmouaF+2Ie7e5tXSOm1xaA8zq03nrISFplyZUa7MKFdmOmouKEw2HVYSEZEEKg4iIpKguxaHW4sdIAXlyoxyZUa5MtNRc0EBsnXL9xxERKR13XXPQUREWtFli4OZfd7MXjSzJjNL+a6+mY03sxVmVm9mV8Xah5rZ82a2ysz+bmZlOcrVz8xmh35nm1lFkmU+Y2aLYz/bzezMMO92M3s1Nm90oXKF5Rpj9z0r1l7M8RptZs+Fx3upmX0xNi+n45Vqe4nN7xn+/vowHgfG5l0d2leY2WfbkyOLXN8xs+VhfJ40syGxeUkf0wLlusDMNsXu/2uxeVPC477KzKYUONdNsUwrzWxLbF4+x+vPZrbRzOpSzDczuznkXmpmVbF5uR0vd++SP8BhwAhgPlCdYplS4BVgGFAGLAEOD/P+AUwO078HLstRruuBq8L0VcAv21i+H7AZ6B1u3w6ck4fxSisX8F6K9qKNF3AIMDxMDwTWA31zPV6tbS+xZb4B/D5MTwb+HqYPD8v3BIaGfkoLmOszsW3osuZcrT2mBcp1AXBLknX7AavD74owXVGoXC2W/xbw53yPV+j700AVUJdi/unA44ABxwLP52u8uuyeg7u/5O4r2lhsDFDv7qvd/SPgHmCSmRlwIjAzLPdX4MwcRZsU+ku333OAx939gxzdfyqZ5vpYscfL3Ve6+6owvQ7YCLT5JZ8sJN1eWsk7EzgpjM8k4B53b3D3V4H60F9Bcrn7vNg2tAAYlKP7bleuVnwWmO3um939HWA2ML5Iub4EzMjRfbfK3Z8mejGYyiTgDo8sAPqaWSV5GK8uWxzStD/wRuz22tC2N7DF3Xe2aM+Ffd19PUD4PaCN5SeTuGFeF3YpbzKzngXO1cvMas1sQfOhLjrQeJnZGKJXg6/EmnM1Xqm2l6TLhPHYSjQ+6aybz1xxFxG9+myW7DEtZK6zw+Mz08wOyHDdfOYiHH4bCsyNNedrvNKRKnvOx6tTX0PazOYA+yWZNc3dH0qniyRt3kp7u3Ol20fopxIYBTwRa74aeIvoCfBW4PvATwqYa7C7rzOzYcBcM1sGbEuyXLHG605girs3heasxyvZXSRpa/l35mWbakPafZvZeUA1MC7WnPCYuvsrydbPQ66HgRnu3mBmlxLtdZ2Y5rr5zNVsMjDT3Rtjbfkar3QUbPvq1MXB3U9uZxdrgQNitwcB64jOWdLXzHqEV3/N7e3OZWYbzKzS3deHJ7ONrXT1BeABd98R63t9mGwws78AVxYyVzhsg7uvNrP5wFHAfRR5vMxsL+BR4Idhd7u576zHK4lU20uyZdaaWQ+gD9FhgnTWzWcuzOxkooI7zt0bmttTPKa5eLJrM5e7vx27eRvwy9i6NS3WnZ+DTGnlipkMfDPekMfxSkeq7Dkfr+5+WOk/wHCLPmlTRrQhzPLoHZ55RMf7AaYA6eyJpGNW6C+dfhOOdYYnyObj/GcCST/VkI9cZlbRfFjGzPoDxwPLiz1e4bF7gOhY7L0t5uVyvJJuL63kPQeYG8ZnFjDZok8zDQWGAwvbkSWjXGZ2FPAHYKK7b4y1J31MC5irMnZzIvBSmH4CODXkqwBOZdc96LzmCtlGEL25+1ysLZ/jlY5ZwPnhU0vHAlvDC6Dcj1e+3nUv9g9wFlE1bQA2AE+E9oHAY7HlTgdWElX+abH2YUT/vPXAvUDPHOXaG3gSWBV+9wvt1cAfY8sdCLwJlLRYfy6wjOhJ7i5gj0LlAsaG+14Sfl/UEcYLOA/YASyO/YzOx3gl216IDlNNDNO9wt9fH8ZjWGzdaWG9FcBpOd7e28o1J/wfNI/PrLYe0wLl+jnwYrj/ecChsXUvDONYD3y1kLnC7enAL1qsl+/xmkH0absdRM9fFwGXApeG+Qb8NuReRuyTmLkeL31DWkREEnT3w0oiIpKEioOIiCRQcRARkQQqDiIikkDFQUREEqg4iIhIAhUHERFJoOIgkiNmNs/MTgnTPzWzm4udSSRbnfrcSiIdzDXAT8xsANH5diYWOY9I1vQNaZEcMrOngD2AGnd/t9h5RLKlw0oiOWJmo4BKoEGFQTo7FQeRHAhnF72b6Epd71uOrxEtUmgqDiLtZGa9gfuBK9z9JeBaojN6inRaes9BREQSaM9BREQSqDiIiEgCFQcREUmg4iAiIglUHEREJIGKg4iIJFBxEBGRBCoOIiKS4P944r1qBIErQgAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Test functions and their derivatives definitions\n", "f1 = lambda x: np.cos ((x + 1) * np.pi) + np.sin (2 * (x + 1) * np.pi)\n", "f1p = lambda x: -np.pi * np.sin ((x + 1) * np.pi) + 2 * np.pi * np.cos (2 * (x + 1) * np.pi)\n", "def f2 (x):\n", " ret = np.ones (len (x))\n", " ret [1 <= x % 2] = np.pi / 4.0\n", " ret [np.logical_not (1 <= x % 2)] = -np.pi / 4.0\n", " return ret\n", "def f2p (x):\n", " ret = np.zeros (len (x))\n", " ret [x % 1 == 0] = np.nan # Nan values at discontinuities\n", " return ret\n", "f3 = lambda x: 1 / (1 + 25 * x ** 2)\n", "f3p = lambda x: - 50 * x / (1 + 25 * x ** 2) ** 2\n", "\n", "# We define a function which evaluates the value of the derivative of the interpolant given the coefficients of the original interpolant\n", "def ChebDiffInterpolant (fnVals, xVals):\n", " ret = np.zeros (len (xVals))\n", " xValsTmp = np.copy (xVals)\n", " xValsTmp = xValsTmp [np.logical_and (xVals > -1, xVals < 1)]\n", " for i in range (len (fnVals)):\n", " ret [xVals == 1] = ret [xVals == 1] + i ** 2 * fnVals [i]\n", " ret [xVals == -1] = ret [xVals == -1] + ((-1) ** (i + 1)) * i ** 2 * fnVals [i]\n", " ret [np.logical_and (xVals > -1, xVals < 1)] = ret [np.logical_and (xVals > -1, xVals < 1)] + i * fnVals [i] * np.sin (i * np.arccos (xValsTmp)) / np.sin (np.arccos (xValsTmp))\n", " return ret\n", "\n", "def PlotChebDiffInterpolant (f, fp, N, title = \"\"):\n", " # Grid values\n", " thetaVals = np.linspace (0, np.pi, N + 1)\n", " xFVals = np.cos (thetaVals)\n", " \n", " # Chebyshev polynomials\n", " chebPolynomials = ChebPolynomials (N)\n", " \n", " # Plot values\n", " xVals = np.linspace (-1, 1, 10000)\n", " \n", " # Transformation and evaluation of the interpolant\n", " fnVals = ChebTransform (f (xFVals))\n", " fpVals = ChebDiff (fnVals, thetaVals)\n", " fpInterpolantVals = ChebDiffInterpolant (fnVals, xVals)\n", " \n", " # Plot\n", " plt.figure ()\n", " plt.plot (xVals, fp (xVals), label = \"$f^\\prime(x)$\")\n", " plt.plot (xVals, fpInterpolantVals, label = \"$\\mathbb{I}_N[f]^\\prime(x)$\")\n", " plt.plot (xFVals, fpVals, 'o')\n", " plt.xlabel ('$x$')\n", " plt.ylabel ('$f (x)$')\n", " plt.legend ()\n", " plt.title (title)\n", " plt.show ()\n", "\n", "PlotChebDiffInterpolant (f1, f1p, 10, \"$\\cos((x + 1)\\pi) + \\sin (2(x + 1)\\pi)$ and N = 10\")\n", "PlotChebDiffInterpolant (f1, f1p, 20, \"$\\cos((x + 1)\\pi) + \\sin (2(x + 1)\\pi)$ and N = 20\")\n", "PlotChebDiffInterpolant (f2, f2p, 10, \"Step function and N = 10\")\n", "PlotChebDiffInterpolant (f2, f2p, 20, \"Step function and N = 20\")\n", "PlotChebDiffInterpolant (f2, f2p, 50, \"Step function and N = 50\")\n", "PlotChebDiffInterpolant (f3, f3p, 5, \"$1/(1+25x^2)$ and $N = 5$\")\n", "PlotChebDiffInterpolant (f3, f3p, 10, \"$1/(1+25x^2)$ and $N = 10$\")\n", "PlotChebDiffInterpolant (f3, f3p, 20, \"$1/(1+25x^2)$ and $N = 10$\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }