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mhamilt/Thin-Plate-FDTD.ipynb

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Example FDTD Plate scheme in python
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Thin-Plate-FDTD.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Finite Difference with Python\n",
"\n",
"## The Kirschoff Thin Plate\n",
"\n",
"This example of FDTD in Python will consider the Kirschoff Thin Plate $$\\ddot{u} = \\kappa \\Delta^2u$$\n",
"\n",
"We will skip the derivations and get straight to how we go about cooking:\n",
"\n",
"$$ \n",
"\\underbrace{(I)}_{A}u^{n+1} = \\underbrace{(-\\mu{2}D_{\\Delta\\Delta} +2I}_{B})u^{n} -\\underbrace{(I)}_{C} u^{n-1} \n",
"$$\n",
"\n",
"$$\n",
"\\rho H \\frac{\\partial^{2}}{\\partial t}\\left[u\\right] = -D\\Delta\\Delta u, \\quad D = \\frac{E H^3}{12(1- \\nu)} \n",
"$$\n",
"\n",
"1. Template the Class\n",
" - what should the class do?\n",
"2. Derive Coefficients\n",
" - Motion\n",
" - Loss\n",
"2. Build Coefficient Matrices\n",
" - A, B, C\n",
" - Boundary Conditions\n",
"3. Set up time-state Matrices\n",
"4. Set initial conditions\n",
" - Generate a raised cosine\n",
"5. Define time-step state update methods\n",
"\n",
"- Appendix A: Scheme class in full.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Main Code"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step-by-step\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Import libraries"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from numpy import pi,log,sqrt,floor\n",
"from scipy import sparse"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Scheme Parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"Tf = 1; # duration (seconds)\n",
"nu = .5; # Poisson Ratios (< .5)\n",
"ctr = [.45, .45]; # centre point of excitation as percentage\n",
"wid = .25; # width (m)\n",
"u0 = 0; # initial displacement\n",
"v0 = 1; # initial velocity\n",
"rp = [.45, .65, .85, .15]; # readout position as percentage on grid."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Physical parameters"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"E = 9e12; # Young's modulus\n",
"rho = 7850; # density (kg/m^3)\n",
"\n",
"H = .03; # thickness (m)\n",
"Lx = 1; # x-axis plate length (m)\n",
"Ly = 1; # y-axis plate length (m)\n",
"loss = [100, 8, 1000, 1]; # loss [freq.(Hz), T60;...]\n",
"\n",
"SR = 44.1e3; # sample rate (Hz)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Derived Parameters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Motion Coefficients"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"D = (E * (H ** 3)) / (12 * (1 - (nu * nu)));\n",
"kappa = np.sqrt(D / (rho * H) );"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Loss coefficients"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"z1 = 2*kappa*(2*pi*loss[0])/(2*pow(kappa,2));\n",
"z2 = 2*kappa*(2*pi*loss[2])/(2*pow(kappa,2));\n",
"sigma0 = 6*log(10)*(-z2/loss[1] + z1/loss[3])/(z1-z2);\n",
"sigma1 = 6*log(10)*(1/loss[1] - 1/loss[3])/(z1-z2);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Grid Spacing"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"k = 1 / SR; # time step\n",
"\n",
"hmin = sqrt(4 * k * (sigma1 + sqrt(sigma1*sigma1 + kappa*kappa))); # stability condition\n",
"Nx = int(floor(Lx / hmin)); # number of segments x-axis\n",
"Ny = int(floor(Ly / hmin)); # number of segments y-axis\n",
"h = sqrt(Lx * Ly / (Nx * Ny)) # adjusted grid spacing x/y\n",
"\n",
"Nx += 1;\n",
"Ny += 1;\n",
"\n",
"mu = (kappa * k)/(h * h); # scheme parameter\n",
"Nf = int(floor(SR * Tf)); # number of time steps\n",
"\n",
"ss = int(Nx * Ny); # total grid size."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Time States\n",
"\n",
"Use numpy to allocate the correct amount of memory"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"u0 = np.zeros(ss)\n",
"u1 = np.zeros(ss)\n",
"u2 = np.zeros(ss)\n",
"\n",
"out = np.zeros(Nf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### In / Out Indices"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"li = int((Ny * (((ctr[1] * Nx) - 1))) + (ctr[0] * Ny) - 1);\n",
"lo = int((Ny * (((rp[1] * Nx) - 1))) + ( rp[0] * Ny) - 1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Excitation Force"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"u_0 = 0 # Initial Displacement\n",
"v_0 = 1 # Initial Velocity\n",
"\n",
"for xi in range(1, Nx - 1):\n",
" X = xi * h\n",
" for yi in range(1, Ny - 1):\n",
" cp = yi + (xi * Ny);\n",
" Y = yi * h;\n",
" dist = sqrt((X - (ctr[0] * Lx)) ** 2 + (Y - (ctr[1] * Ly)) ** 2);\n",
" ind = np.sign((wid * 0.5) - dist);\n",
" rc = 0.5 * ind * (1 + np.cos(2 * pi * dist / wid));\n",
" u2[cp] = u_0 * rc;\n",
" u1[cp] = v_0 * k * rc;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Matrix Approach"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Coefficient Matrices"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Helper Functions"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def zero_matrix_overflow(l, m, coef_matrix):\n",
" \"\"\"\n",
" Set overflow values of sparse coeffcient matrix to zero\n",
" \"\"\"\n",
" # set the correct points to 0\n",
" ss = l * m\n",
" coef_matrix = coef_matrix.tolil()\n",
" coef_matrix[:, 0:(l+1)] = 0\n",
" coef_matrix[:, ss - l:ss] = 0\n",
" coef_matrix[0:(l+1), :] = 0\n",
" coef_matrix[ss - l:ss, :] = 0\n",
"\n",
" coef_matrix[(2 * l):ss:l, :] = 0\n",
" coef_matrix[((2 * l) - 1):ss:l, :] = 0\n",
" coef_matrix[:, (2 * l):ss:l] = 0\n",
" coef_matrix[:, ((2 * l) - 1):ss:l] = 0\n",
"\n",
" return coef_matrix.tocsc()\n",
"\n",
"def biharm(l, m, bctype='pivot'):\n",
" \"\"\"\n",
" Generate Biharmonic Matrix Stencil in 2D\n",
"\n",
" :param l: number of total grid points Y axis\n",
" :param m: number of total grid points X axis\n",
" :param bctype: boundary condition type: 1: pivot, 2: clamped\n",
" :returns Returns a square Sparse matrix of size l*m\n",
" \"\"\"\n",
"\n",
" if (bctype == 'pivot'):\n",
" bc = 1\n",
" elif (bctype == 'clamped'):\n",
" bc = 2\n",
" else:\n",
" raise (Exception('Boundary Condition not recognised'))\n",
"\n",
" XX = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(m, m)).tocsc();\n",
"\n",
" XX[0, 1] = (bc - 1) * 2;\n",
" XX[m - 1, m - 2] = (bc - 1) * 2;\n",
"\n",
" YY = sparse.diags([1, -2, 1], [-1, 0, 1], shape = (l, l)).tocsc();\n",
" YY[0, 1] = (bc - 1) * 2;\n",
" YY[l - 1, l - 2] = (bc - 1) * 2;\n",
"\n",
" LA = sparse.kron(XX, sparse.eye(l,l)) + sparse.kron(sparse.eye(m,m), YY);\n",
" BH = (LA * LA).tocsc();\n",
"\n",
" return zero_matrix_overflow(l, m, BH)\n",
"\n",
"\n",
"def laplace(l, m, bctype='pivot'):\n",
" \"\"\"\n",
" Generate 2D Laplacian Matrix Stencil\n",
"\n",
" :param l: number of total grid points Y axis\n",
" :param m: number of total grid points X axis\n",
" :param bctype: boundary condition type: 1: pivot, 2: clamped\n",
"\n",
" :return:\n",
" \"\"\"\n",
" if (bctype == 'pivot'):\n",
" bc = 1\n",
" elif (bctype == 'clamped'):\n",
" bc = 2\n",
" else:\n",
" raise (Exception('Boundary Condition not recognised'))\n",
" ss = l * m\n",
"\n",
" XX = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(m, m)).tocsc()\n",
" XX[0, 1] = (bc - 1) * 2\n",
" XX[m - 1, m - 2] = (bc - 1) * 2\n",
"\n",
" YY = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(l, l)).tocsc()\n",
" YY[0, 1] = (bc - 1) * 2\n",
" YY[l - 1, l - 2] = (bc - 1) * 2\n",
" \n",
" LA = (sparse.kron(XX, sparse.eye(l,l)) + sparse.kron(sparse.eye(m,m), YY));\n",
" \n",
" return zero_matrix_overflow(l, m, LA)\n",
"\n",
"BH = biharm(Nx,Ny); # Biharmonic matrix\n",
"LA = laplace(Nx,Ny); # Laplacian matrix"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"\n",
"\n",
"A = (1 / (1 + (k * sigma0)) * sparse.eye(ss)) # inverted\n",
"B = (-(mu * mu) * BH + (2 * sigma1 * k / (h * h)) * LA + (2 * sparse.eye(ss))) * A\n",
"C = (-(2 * sigma1 * k / (h * h)) * LA - ((1 - (sigma0 * k)) * sparse.eye(ss))) * A\n",
"\n",
"B = zero_matrix_overflow(Nx, Ny, B)\n",
"C = zero_matrix_overflow(Nx, Ny, C)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Coefficient Stencils"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Stencil Shape\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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VYZgFNQLYbplsM+uoSZbJBjgi6bSk45KuLnmsV8s1S8wky2Q/AtwAzAOrwEMlj/VquWaJGXuZ7Ii4VPxBeBf4MrCv+uGZWR0GvseXNAP8LCIub1om+wuSZiNitbjbPcDKoOdaXl5+TdIPi6u7gdfGHPckcqvbZm3Xbb7urw3zgEmWyf6KpHl6jb7zwP2Dnigifv5aX9JSRCwMM8gq5Va3zdqum27dSZbJ/swohcwsHT5yzyxDbQb/Uded+tqum2hd9Y7PMbOc+KW+WYYcfLMMOfhmGXLwzTLk4Jtl6P8A8LmS46hhIZkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.spy(B, markersize=0.5)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Main Time Loop"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"for n in range(Nf):\n",
" u0 = B*u1 + C*u2\n",
" u2, u1, u0 = u1, u0, u2 # state swap\n",
" out[n] = u0[lo]\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot surface"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def surface_plot (matrix, **kwargs):\n",
" \"\"\"\n",
" Simplified MatplotLib Surface Plot of a 2D Matrix\n",
" \n",
" :param matrix: 2D matrix\n",
" \"\"\"\n",
" (x, y) = np.meshgrid(np.arange(matrix.shape[0]), np.arange(matrix.shape[1]))\n",
" fig = plt.figure()\n",
" ax = fig.add_subplot(111, projection='3d')\n",
" surf = ax.plot_surface(x, y, matrix, **kwargs)\n",
" return (fig, ax, surf)\n",
"\n",
"\n",
"(fig, ax, surf) = surface_plot(u0.reshape(Nx, Ny), cmap=plt.cm.coolwarm)\n",
"\n",
"fig.colorbar(surf)\n",
"\n",
"ax.set_xlabel('X (cols)')\n",
"ax.set_ylabel('Y (rows)')\n",
"ax.set_zlabel('Z (values)')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Audio Output"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import IPython.display as ipd\n",
"\n",
"ipd.Audio(data=out, rate=SR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Loop Approach\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Coefficients"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"A00 = 1 / (1 + k * sigma0); # Central Loss Coefficient (INVERTED)\n",
"\n",
"B00 = (-(mu ** 2) * 20 + (2 * sigma1 * k / (h ** 2)) * -4 + 2) * A00; # center\n",
"B01 = (-(mu ** 2) * -8 + (2 * sigma1 * k / (h ** 2))) * A00; # 1-off\n",
"B11 = (-(mu ** 2) * 2) * A00; # diag\n",
"B02 = (-(mu ** 2) * 1) * A00; # 2-off\n",
"\n",
"BC1 = (-(mu ** 2) * 19 + (2 * sigma1 * k / (h ** 2)) * -4 + 2) * A00; # Side\n",
"BC2 = (-(mu ** 2) * 18 + (2 * sigma1 * k / (h ** 2)) * -4 + 2) * A00; # Corner\n",
"\n",
"C00 = (-(2 * sigma1 * k / (h ** 2)) * -4 - (1 - sigma0 * k)) * A00;\n",
"C01 = -(2 * sigma1 * k / (h ** 2)) * A00;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Main Loop"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"u0 = np.zeros(ss)\n",
"u1 = np.zeros(ss)\n",
"u2 = np.zeros(ss)\n",
"out = np.zeros(Nf)\n",
"\n",
"u_0 = 0 # Initial Displacement\n",
"v_0 = 1 # Initial Velocity\n",
"\n",
"for xi in range(1, Nx - 1):\n",
" X = xi * h\n",
" for yi in range(1, Ny - 1):\n",
" cp = yi + (xi * Ny);\n",
" Y = yi * h;\n",
" dist = sqrt((X - (ctr[0] * Lx)) ** 2 + (Y - (ctr[1] * Ly)) ** 2);\n",
" ind = np.sign((wid * 0.5) - dist);\n",
" rc = 0.5 * ind * (1 + np.cos(2 * pi * dist / wid));\n",
" u2[cp] = u_0 * rc;\n",
" u1[cp] = v_0 * k * rc;"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"for n in range(Nf):\n",
" for x in range(2, Nx - 2):\n",
" for y in range(2, Ny - 2):\n",
" cp = y + (x * Ny);\n",
" u0[cp] = B00 * u1[cp] + \\\n",
" B01 * (u1[cp - 1] + u1[cp + 1] + u1[cp - Ny] + u1[cp + Ny]) + \\\n",
" B02 * (u1[cp - 2] + u1[cp + 2] + u1[cp - (2 * Ny)] + u1[cp + (2 * Ny)]) + \\\n",
" B11 * (u1[cp - 1 - Ny] + u1[cp + 1 - Ny] + u1[cp + 1 + Ny] + u1[cp - 1 + Ny]) + \\\n",
" C00 * u2[cp] + \\\n",
" C01 * (u2[cp - 1] + u2[cp + 1] + u2[cp - Ny] + u2[cp + Ny]); \n",
" for x in range(2, Nx - 2):\n",
" cp = 1 + (x * Ny);\n",
"\n",
" u0[cp] = BC1 * u1[cp] + \\\n",
" B01 * (u1[cp + 1] + u1[cp - Ny] + u1[cp + Ny] ) + \\\n",
" B02 * (u1[cp - 2] + u1[cp + 2] + u1[cp - (2 * Ny)] + u1[cp + (2 * Ny)] ) + \\\n",
" B11 * (u1[cp + 1 - Ny] + u1[cp + 1 + Ny]) + \\\n",
" C00 * u2[cp] + \\\n",
" C01 * (u2[cp + 1] + u2[cp - Ny] + u2[cp + Ny] );\n",
" \n",
" cp = Ny-2 +(x * Ny);\n",
" u0[cp] = BC1*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp-Ny] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp-2] + u1[cp-(2*Ny)] + u1[cp+(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp-Ny] + u2[cp+Ny] ); \n",
" \n",
" \n",
"\n",
" for y in range(2, Ny-2):\n",
" cp = y + Ny;\n",
" u0[cp] = BC1*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp-2] + u1[cp+2] + u1[cp+(2*Ny)] ) + \\\n",
" B11*( u1[cp+1+Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp+Ny] );\n",
"\n",
" cp = y + (Ny * (Nx-2));\n",
" u0[cp] = BC1*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp-Ny] ) + \\\n",
" B02*( u1[cp-2] + u1[cp+2] +u1[cp-(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp+1-Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp-Ny] ); \n",
"\n",
"\n",
" # Corner Boundaries\n",
"\n",
" cp = Ny+1;\n",
" u0[cp] = BC2*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp-Ny] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp+2] + u1[cp+(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp+1-Ny] +u1[cp+1+Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp-Ny] + u2[cp+Ny] );\n",
"\n",
" cp = 2*(Ny-1);\n",
" u0[cp] = BC2*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp-Ny] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp-2] + u1[cp+(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp+1-Ny] +u1[cp+1+Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp-Ny] + u2[cp+Ny] );\n",
"\n",
" cp = Ny*(Nx-2)+1;\n",
" u0[cp] = BC2*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp-Ny] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp+2] + u1[cp-(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp+1-Ny] +u1[cp+1+Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp-Ny] + u2[cp+Ny] );\n",
"\n",
" cp = Ny*(Nx-1) - 2;\n",
" u0[cp] = BC2*u1[cp] + \\\n",
" B01*( u1[cp-1] + u1[cp+1] + u1[cp-Ny] + u1[cp+Ny] ) + \\\n",
" B02*( u1[cp-2] + u1[cp-(2*Ny)] ) + \\\n",
" B11*( u1[cp-1-Ny] + u1[cp+1-Ny] +u1[cp+1+Ny] + u1[cp-1+Ny] ) + \\\n",
" C00*u2[cp] + \\\n",
" C01*( u2[cp-1] + u2[cp+1] + u2[cp-Ny] + u2[cp+Ny] );\n",
"\n",
" \n",
" u2, u1, u0 = u1, u0, u2\n",
" \n",
" out[n] = u0[lo]\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Al0AgxNG1Jl+OWyPjK4s5NjbGzp07KSsrY968eVO+lXwL6wCU3nY8rz8K4yPqhTDNr8DetC2q9eg9Lqo+eRpNd4fdKR+UtDxTXFLXQNwEqhXX7BXDwZADvbgHeuGDfwICkV+Efv4iROkixLwFGDK9Rkc1Mr6EK2uRkpIyw+ioImBq9uqIIoCEJzO3+LYGdHR00NXVxcqVK0lPT59xrGpkpJQojf9E2fIqyKmejV6Gnk2ajSRnL+ZFJYzt7YjJ9QD0acnoJ+KTugbAFZ84kjIey+2dRFq7cFu7GH7jA1p+/RrpKxdjOXUNtvkFyAvOhMC9nkFlLWw22wyjs337dqqqqkhKSjoqVAOjrfgVQuiklLFTVPPhuDIyvsFdl8vFzp07SU5O9tsaoKLT6RCOSTwv/hHZ0eL/wqOD6AuK8fRG2fbocbPgE2tp+HbsjEzBWavA7YrZ9XyResOHHl0MUQBlMD6GcbRtTBNkH29oBqDxq/eQEYYg+3RZCyml1mGuylo4nU4GBwfJyckhKSlpimqgTqfj7bff5oQTTtAqmuOKEAFlV8PgS0KIRinli7FYki/HjZGRUtLb24vRaMTpdNLc3MzChQu1bEMgDH2HmN/4ItI1e/rXVFiELVojAxjGOsleu5jB9/dEfS2ArGWF4OiOybWmYygoQkd02xp/yKQ0cMVnzcMN+2f+0J8ge/0KLOvWYDmtHnPd8lkF2f3JWmzevFmL802XtTCZTDzwwAMsWLAgaiMjhPgYcC+gB34jpfyB3+NC3y7lCiEuAyYOP+zAbuB84NBsJ0bKcWFkVO/FarVis9lwOp2sXr2alJSUgOdIRUHZ9jrGhn8gQij719nHvBWq0bYISEn5xUtjZmSSk5xeFbw4oM+0wETsA8qKPrBcaTTYPGk4e4KvVzqcjLy1lZG3tnoF2dNSyFy7isxT13inQNQEFmQHr6ei0+mYP3++1mHuK2vx05/+lNbWVl5//XWysrJm1X+eDSGEHvglcA7QAWwWQvxNSrnLz6JCvWwR8CkgC0g6/HADK4HvRbTQIBzTRsZ3e+RwOOjp6SEjI4M1a9bMui+WE6N4Xn8M2dNKyPbfNoY7rxCDNfpvYN1QJwXn1tL7UnTB5FlV8GKAzmTyftfFGMUdl60/YwORBT+VCRtDr7/L0OveZla9OY3Mk1djWVeH5bR60pYvmpHC9hVnny5r8atf/YqLLrqI9vZ2rr76ah577DFt1HCYrAVapJQHAIQQfwE2AFOMTJgp9lYp5YXTfyiEeJM4fV0ds0bGt/alr6+PlpYWcnNzsVgssxoY5dBePP94AiKoYk3KzcMTAyMDULKuNGojE44KXiToPLEJeE9HmRiPy3VH9kZZz3QYz9gEgy/+k8EX/wmAITuT6t9+n6zT14Z0fkpKCi6Xi7vuuksrlYiQeUzdwnQAJ/g9MnRPxi2ESMZrUAQgpJQe4NfA3ohXOgvHnJGZ3hqwb98+Jicnqa+vp6enx69iHYD0eHBvfQMa/wFEtuVJdowyYTCAO/o4hRjuYd4VJ9O5KfiQt0BEo4IXFCFgIj7Xdvf3Euv8iwc9o9vj8BnR6Sj/6i0zDEwonkOgZEMY+LvJzDdveIFfm5Rak5t2LSnln8JeXYgcU0bGt/ZlcnKSpqYmioqKWLJkCUII9Hq91p/iizI8wMSjDyAnxkgxR/GUXQ5MlYtw7p25JY4Ey8IkOnUClAiMXoxV8Kajy8lHeGKftfIYU9HFIeg7YU9DOmLreemSk1jywHfJvfjMKT8PVCHu+/tgx4RIB1Dq8+8SCKDsGmWdjBDiAuAVKWNUr+HDMWNk1NoXKSVdXV20t7ezfPlyTVsEZhbWATh3fYDt6d8jbd7GHqWgGt3kcMTrMKQmE6tXIcU5wfzr19P2+/DbDeKpggegz84Be+xHuSjG+AR9Rzti+7cwWDJY9vBPyTyxZsbvFEUJyZOJQSvCZqBKCFEBdAL/BnzC/71C9g3ThBA1eDvdJgEn3nLxXwFLD/87phz1RsY3uOvxeGhu9tY++LYGqPgaGel2YXvxMZzvvTblGLdHEF5B+1TEsBVSUsEWm27EvFIDh1KSUGzhxdzipYKnok9JjktTt+KJj4DXSFNrzK6VVFLIisd+TuriCr+/VxRl1q1QjLwYpJRuIcStwIt4U9gPSil3zjgwvIrfAuAbeD/7usMPCeQQlzD/UW5kfHVfRkdH2bVrF+Xl5RQHmISo0+nweDx4Bnq9urvd7TOOcXe2Y8zLRERa3Kh4MJRV4N4z87WOiIkRFn76LPb+/LmwTkuNkwqeipDx0b9RZul4jxSnTMF2sDMm10pbVsXyR/+XpKLAaWePxzOrkXE4HLOWT4SDlPI5IMibI6y5S73A7Xg/++ojFag/HACOOUetkfEN7ra3t9Pb28uqVatISws8lkOv12M6sJOxTa+Bw//XsJwcR0ktRz8ReerXYBQxLVHLME9izDbjGgyt1N6QnY4YjU0mJRDx6upWhmJfdzPQFxvPwXJaPUv/+GMMGTPbT3wJZmTUhss5JfStmUdKeXDqqSIZ2B7zNR3mqGvdlFLicDjYu3cvTqeThoYG7HY7a9eundXASKcD3SubyHrnuYAGRsUd5tZkOrrRATzpGcEPDBX7JFWfPiPkw4vPWx1SAWGk6DIsCGfs4z0eYzJMxj59PbQv+haFvMvPY/mj/xvUwIDXyMxWJjE+Pu63Ty5uCAF6fWgPP5tgKaVdSnlevJZ3VHkyau2L2+2mo6OD7u5uqqqqNPWzQHisnUw8+gBYQyv7d3e0Yiotijh7IgCZXwjjoxGd749UBkmdn89kW3APxbIwByZisz3whz43P6hweCRIY+y/3RUpcOyauS0Oh5LPXEvFdz4fcqA2WExmcnJy1i/EeBBug6QQwgBkSynj6xJzlHgyanDX4XDgdrs5cOAADoeDurq6oAbGsfWfjD1wN0qIBgYAt4shZ3RPPVkX4+2r28mC608J6VAT8dnKqOji9AEJUMIUFZNuM56xCOOVQlD5/75A5XdvCysTFGy7pEpFzBkCELrQHh+yGPgjeDuw47m8I25kVAPjcrmw2+188MEH6PV6UlNTSU4OnO6UDjsTm36N7ek/QBjC3ipJUXYuJzknMRSVBj8wnGvauslc6T+joWJZvRAmYudB+SNeSgWKLfZbsLHuyDKuQi9I//J16DaegS3MdYUSk5nT7RLCm10K5fEh5qkXiB9HdLvkW/titVrZv38/S5cuJSsri97ewOnZ0e3NuF99FN1wFE2j1i6UBZXonJFnO4wF+bi7Y9i4qihUXFZDQ+PBgIfkn7yIeKngqQhHXDKZKMOxLx4c3hW+bIY+Sc/8G8/H8tkbGRwcZO/evTgcDsxmM9nZ2WRlZWEyBS50CMWTmUsjIwirTkbFTDx0Vf1wRIzM9NYA9UWur6+f9cUFaL/vYVq+8VPyzqqjdElUi8BjSI3KyOgmR7wuaAy1fgyjXVhOWsLwO7v9/j6eKngAbmNSXDJLit6EHIttpa+LJCaaAxtkfxjTjczfUEPhf38NXVIS6enpmnzD2NgYg4ODdHZ24vF4tBErFotlSk2WP7U9X+bayESojJdOfKTnZzDnRmb6zKMdO3Ywb948qqurZ+10dQ2Psus/v0Xf318FoPeF98hbdAbJusg/EO7ebozmwPObg2KfwJlXiCmceFBQJGXnLPBrZOKuggckFxUTjyo8xRT7GMX4WFJY0hvJOSlUXLCIzK98A13SVNEq305q31ndg4ODtLa2IoTQhMfdbjdJSYFFr8bHx+c48CtAF3LvkkEIkQXkEq8ZOtNvOBc3UfGVxezq6uLQoUOsWLECs3mmCLQ6b1oIwcj722n69zuwt3f5Xoyuzf1UnhD4xQ66nqH+qNsMMosLscXUyIBpvI/sc1Yx+PLU0oV4quCpeIXD42Bk4hD+G20N3aVLLzFTecFCjBtuxDRvXtDjp8/qVgfFWa1W+vr6MJlMOBwObZic7xfk5OQkJSUl4T+haAhPT+bbeCt/xw5r1sSVOTEyvq0BbrebXbt2YTAY/LYGqOj1etxuN12//DP77/oF0k/n8+Db2ylYfS5pxuGI1+Z2R9dmoBvth6QkcMRWimPe2gIGX5kqkhVPFTyVeA0JU+yxNVxSwvC2AHKp08iqyqLi/AU4K08k7aSTIrqf7wRLvV5Peno6Uko6OjoYGxsjJSWF7OxskpKSYp5dEkJcidcwVANrpZRbph0wPXM0G6PAv4AVeMWwngG+BYQ/uTBE4m5kfLdHIyMjNDc3U1FRQVFR0aznibEJmq78LEOvvjPrcR2vH2DRudkRh8fdnW3o8zKI+KPldpFUUYVj945Ir+CXJNsw8z9xGm0P/UP7WTxV8FREEBnSSFFGYttsafOk4+oPfs382gJK15cxKfLJu/7fY3JvRVFITk7GYrFMGbEyODjI/fffz8MPP8z777/PxMQEl1xyCVlZWdHecgdwGfBAwCNCj8mMAG8CTcD/w9vZvVgIIWSsmq6mEVcj43K56OzsJD8/n7a2Nvr6+qipqQlacj30zy2MferbKCG8icZ2tDB6yrlkpg1HtEZpm2BCFJAhIw+0G5KMcfns5y1Mpt2oR7o8cVfBA8BgjIuGjEfokTHOLI2F0EpQclophWuKmBjTkfP9/47Zvadnl3xHrHzzm99kYGCAk08+WZteGa2RkVI2q/cJSOieTDLwFeA/gP+QUv5BCHEFMAy8Hc06AxGXighV98XtdrN//362bduGy+Wivr5+VgMjFYUD37uPDy66KSQDo9L+XCPuKGywZzLKb+9hKyKWbQYqY0NU3ng2AAXrl8b++tPQ5xdE3jg6C05dEpEKhQViZE/gbaPQCSrOr6RwTRH2UReW2+9CF3pgNCjBUtiTk5PU1dVx++23U1VVFbP7BiS8toJC4OzDZ37scCHeUmBhvJYXcyOjBnfdbjcDAwNMTk4yf/58Fi9ePGvaz9HTxwcX3cSB792H9IRXTes41MNAX+R7YONAL4ouCqdOKiSVV0Z+/ixk5bnRZ6SQUep/QmIs0WdG7db7v64pNh3JKh5pYKzJfzxGb9JTdekicqpzcTs8jJ19JcbciPR1A98/BCPjL5kxG0KIV4QQO/w8NoR4gdAeXk9mF3A/cBJeG5CE15MJtsYfCyF2CyEahRBPCiEsoSwtZtul6bUv+/fvZ2xsjNTU1KBq7QOvvM2OT389pD12IHqe30bODcswEH72RSgenCYzyVGINOlFfKQRmByj6qaz46qCp6IzGeMjHO6MrQ7SuC0V6WcCpTHdRNXGKlLz05CKZLjyBAzLlsX03hC8QTKSwK+U8uzgR81C6NslPV4jc+7hf58ApBDaOJSXga8d1rn5IfA14I5gJ8XUk3G73dhsNrZu3YrRaKSuri7oNL3uvz7Ltss+E5WBAXANDNN/KPKaF8/wcFT3Z6QffV5hdNcIgMhNwp0Uf+kAXRzkNgGUGOsQj3bMrCFLLUhnwcalpOZ7P9yTKfMRZ58Tl2mOwRokx8fHw/ZkokIIbwo7lIf3a0SHdyRKAd6RK/8jpfwg2G2klC9JKVXr/i7eoHFQYvYKCCGwWq00NDSwePFiKisrtVENswWti66+kFP3vcLS+79LwWXnYbBE/uJ0PfMOE87I9t7S2o3HGJ1bbyoOXn8RCZNLz6L11P9E0UdROBgMIWAyDtMihQ45FNsCwukD3DIqsll16zqS0r2v/cSEidwv3xG0MjdSgl3XbrfP2ncXLkKIS4UQHXi3N88KIWZOeQx9uzQBXMiHQ93+D6gQQuSGuawbgedDOTCm2SW3283atWsxGj/8MOj1ejwez6yjIZIKcim+dgPF125AejyMvN/I/seexfb2B9h37Q+5qlOxOWjfPk51ffjGQiAZmnSTG8XnWOeIw6iPlDR6i+pRdCaG1t9IzquBs5jRoMvJR8Sh0E9JTo9p+/W404Sj48O+tpwVRVRfV8do2wCmVD32UQ9Z3/gOQoi4GZlgCCFiel8p5ZPAk7PfNOT7WfBqBZfhnRD+IN5RKG8C/UKIV/AGh6dzp5TyaQAhxJ14B8I9FMoNY2pkSktLZwh5q0V1oc6fEXo9lpNqyS/JRd52PQVJqfQ89wYHH38e5YNmlNHZP8gTb+/Atno9KfrwgwuptgkwRlGaNzmKobQc96HWyK8xDceiE1F03jV1FtSTtvogyR+8FLPrq+izcsARe+FwKWLrfdnGPqzwLj6lnIWXr/SOaHU5cCmgv/azGA6Ly8fLyMyWSo7hpILQUbNLoZEG/BDvdqkcuOnwf0cheGxICHEDcBFwVqh1NXE386onE+l5ozpJx6IiVv3pJ5xx6J+seeWPVHzlZsy1S/1LDiqSjvcjc8/l8ABKqiWic1VMOeF6nbPTXX76lH/vXXQ5Slk0naH+0afEZ4qA4oztLO3RFu9rW3FhNVVXrkLoBCMH+jGm6Blatp6Diof333+fvXv3MjExMfcf+MPEYFJByEhAChHSA+92aT3wn3jjKqfgnYQQtI7j8FzuO4BLpJQhN1fG1JPx94c1GAwRGRmdTofVamVwcHBKd7blxBosJ9aw4L9vxdE7wMCrbzPw8tsMvvovXIPemMLIOzuYWBNZu0G00wzkWD+K0KGLQb2JnLeA0bRpouk6PftOuIXFw9+F0dhlnARxEg6PoXqgInWMNuxj8SdqKVxbpv3cY5vEWbqc8k94p4WozY0tLS3s37+ftrY2srKyyM7OJiMjIyrvJpSZS3NpYLyE1VaAlFIRQqwGOqWUTiHEE4SWV/wF3nT3y4ef47tSyv8IdlLc2woi8WTsdjstLS0YjUZWr14d8EVLKsih+BOXUPyJS5CKwuiWJpoffgrln1sibjdwd7RhzLdEXJSmczlIqliI60D00wyHq071+3OH0cyh0/+T0ud/FLOGybjIOyBQBmMX9J10pbP0uhqyl3yoljjaNoTbaCHv1s9rP1ObG81mMyUlJSQnJzM0NERPTw979+4lOTlZ041JTU0NyygE24LZbLaYTSoIi9CNjE4I8TJemYdPA0gpPz/7KV6klBEV7M2JkXGHMda1r6+PvXv3UlJSgs1mC/kNIHQ6MteuIiszmczrL0H84R5cbiMmQ3gfQmmbQEmtRD8RuTCUMcMcQbXOVDzGJLoK6gP+fshcQfq6a8h64/dR3gncKWlxEQ6XSWngjk2HutDpyCxIItk8tf7ENuYm5zvf83uOahCMRiP5+fnk5+dP6TM6cOAAk5OTZGRkaJ5OMD2jUETE51rfF1C3QqHQBXxGShmXudf+iPt2KVRPRlEUWlpaGB0dZc2aNdjtdsbHw8/W6HQ6dCXzUOZVkzS+P/gJfnBP2iJvmATEiBWSU8Ae+Qd3dP4qPPrZZSwOFa8jbcVBTE3/mPW4YCQXzYuLcLgSZP2hIgx6kvOz0U1LHkz0jpP5X19CHyBd7M/r8O0zKikpmSJWtWPHDhRFmSJWNb0e5mhTxQPC7cI2AKuFEHXANimlf3W0GBL3wG8oMRm73c6WLVvQ6/XU1dWRlJQUccBYnSKZ/4UvYR+LLM7g7mhFRlOT4nGTVBFdK0j/wjODHwTsWfZvyHkLorqXPl7C4e7o4zw6k5GUgtwZBgZA1J5KUvn8wPcPUjQHH4pVVVRUsHr1ampqarBYLAwODvLBBx+wbds22traGB0dRUoZ9JpzLiKuEnrvUibwBeA+4EQAEecg0hHfLvX397Nnzx6WLFlCTk7OlPOmp8NDQTUyOqMJ09mXw3tPhb9ojxtPigXDeOTxBINRH3FntqegDFt2aEZK6ozsO+k/WfTCd2E8smK6uAmHj0fvHSXlZSH0MxfoVnQkn3nBrOcG29r4w2AwkJubS26uN0vocDgYHBzUdGNMJhOKogSMvRwZIyPC2S61SilPEELcBnGK9k9jTrZLTj+9K1JKWlpaGB4eZs2aNTPkDNWRs+GiekAOh4OWvHwKRg1kZoSfRnV2dqBPNyBCrz+YyogVXWZWRDoqIwECvoGwmyx0nvYfzHvhJ6CE/zcT9tg3LClSRh301ZmM6AL9/SuWBp01FIs6maSkJIqKijTdmO7ubi2A7HA4yMzMJDs7G4vFgtFojMukAiHEj4GLASewH/iklHL4wwMIZ7ukuuhLiePUSF+OSJ2Mw+FgyxavuJc/AxPovFDQ6XSMj4+zZcsWFixYQOEXvo7HGf515Mggk51WbN19OIfH8Dic4dVcSImprDzs+2JKpnte+OptA5YqRk++Kvz7paQibLGPx3hMqeCMTmUnKTvT788VRaI75eKg58c6nSyEwGQykZmZyapVq1izZg35+fmMjo7S2NjIn//8Z/785z8zODjo94s1Cl4GlkspV+Ktzv3a9AOk0IX0AIoOtyVUcFgNL15iVSpzEpPx3S4NDAywZcsWKioqqKqqCvgmiMTISCkZGBjAarVSV1dHTk4OSfPLcOVH3omruNy4Rsex9w7gsYf3xtEr4b/RnIvq8egjK4xrLTsLV3V4BsqQVxDRvYJhd0f34RYGg7cr3A/KvEWIUCvIYxxu8I3J6HQ6srKyWLBgAXV1dZx//vkUFRXR3NzM2rVreeSRR2Jyz+CNiSH2LXn/FkPAV4FzpZSbY7LAIMTUyMyWXVK3RwcOHKCurk7b84Zzrdlwu900NDTgdrspLi6e0qCW/7nbIg4CT7nHZJjZorFB9IXFwY/zobfitPDuMY09q65DFpQFP/AwenMcxLYAkym6zJIp2/+6FEVBd1poEivxYLbsUk5ODpWVlVx//fU0NDRw5ZVXxmMJfhsTpU4f0gOvgGsnkB3vgK/KnGyXnE4nW7duRUpJXV1dTDtUAcbGxnj//fcpKCigrKxsxrZGZzCQfOE1UZeYeyZsYV/DVDC7lrEvtow8hsyzT5AMhqIzsf+U/4KU0OICcRMOn4g8ziP0OgzJ/o2UkleOSDoCxW6HCSWFrco8hNqvB6GJVgVsTFRT2KGNqV0APIdX4zf2Yjt+iHt2aXx8nMHBQWpqaoJ6L5HQ1dVFa2urNlplYGDAb1bKcvbZdL78DGlJ0XVKKy43+gBuvD90E0PeN0EIxsm56tygx4TCZHIuPetvovCFe4MOnoubcPhQ5MWMJot/L0YqEt3pGyO+biwIpigwOTkZUXYpmsZEtXcpRJrxpq5TgTjIBswkbp6MlJL9+/fT2tpKenp6zA2Moijs2rWL3t5e1q5dq317zJb6zvvcV/C4ovNm3ONhDt1z2kgtLSQp14IhLcVvOhYAYxJdRSdGtTZfrFnLGD9h4+wHxUs43JgCtgg9GZ0OQ5p/T8VjKUSk+w8GzxWhCFbFIbsUvDExdE8mGSgGDFLGQdDZD3GJyajbI7fbzZo1a6Lapvg71263s3nzZlJTU6mpqZnyzTJb6ts0rxh38cqI1wJeIxPu8xGAITWFpBwLqfMKSC7MxZhpRpf0YQm7q2oNLkNstwEHKi/AXVUX8PfxEg5XohD/MmX6/4BKRdJTdSLj4+Mh/f3jlTA5QhW/v8A7u/plIUSDEOL+6QdIREgPYAlwEK92TGzFjwMQ8+3S8PAwO3fuZNGiRZq2b6QvuE6nm5GGHBgYYPfu3VRXV2vT/aafM1sRX95/3Urf1/6TpOTIP1zS7UEYI//T6U1G75YrMx2pKDgGRxg0ZGCcHMSVOvM5RcOe1Z9kkbUN48jM7Ys+IwsmI9/WBCJijSohMJr9bzXcaVmIrFxaW1u1uIc64dFfv1G8uqGPhJEJ3pgo1PR0KDQAn8VbdxO7FvlZiKmRUSfqrV69OiadqKpXohqbAwcOMDAwELC2Rj1nNiOj0+tJufAaPK/8ya8cTSi4J2yYopAJ9UXodBgyzGQ3Pk924/PYMucxVrycseIVTOYuROqje4k8+mRaT72VhS/9AOGcGn/RJRnjMnJdmYzsooZM/39TKSW60y6luKCY4uJipJQz+o3UBsfMzMwPq77jUMocj0kFUSNQM0ehYJRSviOE+CXwjTiuSiPmFb8rVqyImavqWyvT1NREamoqa9asmfXNE0p9Tcbpp9P92nOkyMiGpbnGxjFmpsfsm9JgMjBqziNprI+UkU5SRjrJb34RjyGZ8cJqr9EpWoErLTIvx5ZRQvsJ11D2zwcRPvOP4iUcLodn/l2lInGMOki2+M8segwmUs3+xdI9yRnoCz4sDRFCkJGRQUZGBuXl5bjdboaGhrBarezbt4/k5GQyDqvjxdqjCWa8jkRbgQzPkykSQnwHmJyrmEzMt0vBhMPDQa/XMzIywv79+6msrKSwMPg0gGCejEr2f3yB8V98IwzVQh8kSI+CiGH615OZD2NTy/D1bjuZHdvI7NgGgD2zmLHiFYwWLWcyryosL2ek9CQGlh0kd+dr3qcgRFyCvoohCTk+dfCax+VhYGc/eSvzA5wFntLFCM/MrZuUEnHShbPe02AwaHOqwetN9Pb2Mjk5yebNm8nIyCAnJ4esrKyw0sp+1xnEk5nzSQUqoRtSO95amY1xW8s04p7Chg8NT7jfKHa7nX379lFbWxvyt0MojZV2u53t7W3k5Swme3hPWGtScdtsmMyx23snGYMb5uSRLpJHushrfhGPIYnxgmpta+VKCx7D61r5b2RN9qE/2ITMzEbEwZNRTFNfJ7fNRfvr7ZSdUebV4vWDMzWbTHc//hTGFGMKurLwpjCmpqaSn5/P5OQk1dXVjI6OMjAwQFtbG0IIsrOzycnJwWw2h/2eDGZkXC5XUE2aeBCGJ2OVUt4dz7VMZ06MTCgTC3zxeDw0NzfjdDpZtmxZWO6nqlIfiKGhIXbt2sWSJUvIXruWgW9/DkMEc7BdIxMY09Ni5oqnu4cYN6aid4UWz9C7HWR2NpDZ2QCAPaNIMzgTeVX+pSqEjr31n6Z6+P+RlJsXF+FwRfnw7+EYcbD/7/soP68SQ0rg2iIlbx46GSAAXX9ehOvwbmt0Oh0WiwWLxQJ4M59DQ0NaV3VaWpoWQA6lSDRYZ7eU8ghMSNAyR6GQJYQoBAaklPHZL08jLtul6YQzsWBycpLGxkaKi4uDaoGEen/wvviHDh2iq6trSmA66fxrcD/3m7BlOlEUpKJE3qU9DZ0AR04JqT2RCZYlj3aTPNpN3u6X8RiSmChYwmjxcoayqpG5H24zXYY02k79DIsOPRsfI3NYqGvSOsG+J/dSenoZqXmBB9O5k9KxKIN+vRiPMKKriqzkIFDsxGQyUVBQQEFBAVJKJiYmGBwcZPfu3bhcLiwWi9ZVHej9F8iIHCnR8jADv9l45y3dD3xVCCHi3SA5p55MMFTpzWXLlmGxWNi3b19EndjTUT0jRVGor6+f8uYxn3giA++8hH6oPfzr2hzo0mM32dGQHBs3W+92kNG5nYzO7dha0xnZegDdyevQnbIOUVvHSHoJr1muYn5yMyWOFlKHDiI8sZkqoIwMMtI2wv6/7SNvVT7ZS2bfxrkKKtDj34uRNesjX0cI2SUhBOnp6aSnp1NWVobH42F4eFiT5jQYDOTk5JCdnU1aWuhe65EQEpehl7yNAAfwSj14T4Zj38gEU8dTmydHRkamTCaIVO7BF7vdTkNDA0VFRZSVlfl9A2RcfytjP7sDnQjvb+0cnfBW8cZqy6SM4hC6mBbIVZRN0vDGKMojf0Z55M+QnIyoq6e34lT2rDgVZ/46TGYnNakHWCT3kjvWgn48sqybojPS/84OWl86gLnUTMm60lmP9xiTyRQjft/iHnToV0ReAR1JCluv15OTk6OJpzkcDgYGBqbU5rhcLpxOp9+4y5EaJhdmW4EB+JSU8iB4JxfEa12+N4w7s6njOZ1OGhsbyczMpK6ubsoHNlojMzg4SHNzc8DCPRVjTja9BYsosoYZBHa7vT1JMTIyRlyMZpWQPBi+VxUIg04h59zVDPzlFe8P7Hbk2/+k7O1/UgbYC8sZWbGO3SvWsXnxuUjTJczLG6DGtIdSxz5Shw+GNFlSSsnBV/bR8cJ+TJlJVF6wMGCgV8VRsIAMGWCsy9LwNXV8iZVgVXFx6LU5k5OTpKbGdma5EOK7wAZAAazAv0spZ6izhxH47VENzFwxZzEZf8ZiZGSEHTt2UFVVRX7+zPRmqOno6UgpaW1tpbe3N+Su76Hakyn6RyfYw+sZ89idGFJj11Uu0zMhduOUACgrHGOwuAjZ1T3jd8k9rST3tFLw8p/xmJIZX1zPyMp1vLLiVBwFJ2NKd7Ey9SCL5V5yx1swjM1Uu5OKpOXJJrr+eRCdQcfCS6owpMz+1lJ0BjL0E369GEUBXd0ZET9f7zVi61UIITCbzSQlJbF69eoZtTkAzz//fMwVBoAfSym/eXgNnwP+G5gx6yiMwC+Hr2UA8NGpiRtHJCajBmE7Ozupra0NaP31ej0OR3jqah6PR5t0UF9fH/obTQhSLrsR28P/G9b9XKPjMTUyqXp7zDfIep0k76zlWP8008hMOc5pJ7Ppn2Q2/RP4Pvb8MkZWrmPvilPZuuRspOkiivMGqXI3UCXayBhtR9psNP95K/3bvdcu/9iCWQO9KvbCKsw+CpK+KFWr0UfpHcZj6+J7zem1OX19fSiKwt69e6mpqeFTn/oUn/3sZ6O+p5TSt/Q/Db9mOaxivCQhxEq8bQWlQojvSik7o13nbMxZTEbdLnk8Hnbu3IlOp2Pt2rWzZpDC3S5NTk6yfft2DAYD1dXVYb3JdDodhqplsO4SeOtvIZ+nOF1IRQbdGoRKinuM4bQcTBORxUUCUZo7TH9FOcrB1pDPSba2k/zKwxS88jCKMYmxJfWMLD+Fd1eeyj8KziBJDrL8wf9ENHsNTP4ZS8heFFwESwpBusnp3QBMQ1EkuhMjS1tPvU7sjcxsNTJ5eXlcdtllDAwM8Jvf/Ia+vtgNtRNC3A1cjzdoO8PFk4ASupGpAn4O/Bb4mZQy9gLP05jT7dLExASNjY2UlpZSUlLi52z/54WC2ji5dOlS9u3bF9I4DF/UrZnl3Evo6R8geffbIZ/rcTgxpMRoxpAQuC0FMTcyQggKz1hEVxhGxhedy0Fm01tkNr0Fj/wQe5739RN9HQC4l66kZFVoHp0tv4o8xb+usDJ/Gfoo+7XAa2Sire6dTijVvqmpqRiNRoqLQ1dEFEK8AvgrZ79TSvm0lPJO4E4hxNeAW4FvTbtAOJ7MDinl6cEPix1ztl1Sx0qsWLFC6ysJ5bxgMRk1/mK1WrXGyUjGqfjGf/KuvJa++7tI7gstPuYan4iZkQFIMsUnBVqUOURH1WJ0+yKrcvYl+bBxAXDmFrH6bDM6XWi1Xakp+PdiPAp7cxaS1dMT0jTH2fB4PAGbaKO5ZrC+pUg6sIMJVvnwMPAs040M4cVk5qI2xpe459sURaGnp4fh4WHWrl0bsoGB4GNR3G4327dvx2azUV9fr72pIhmnonZ6A/RYrbSvWIc7ObS1KjZHTAux0jxDeIwxDyAihKDgpNnTyuHiSUqhckM1ySGOA7blVZIWyIspWsi88gpsNhtNTU1s3bqVAwcOMDIyEvbfN14xmbnuwBZC+PZUXIK3kG4GYUwriPt0gunEdbvkcDhobGwkJSWF3NxcjMbwpjLOtl1S4y/+tl6RZKWEEHg8Hnbv3o3NZmP1ulMYLypGPvwThAxhzK7ThT4pRsV0SBzZpaT27ovJ9XyZnztKR/UqkppjM3In85JTKcwcDvl4U3oSeGa2cSiKgu70jWSkpJGRkUFFRQUul4uhoSG6urrYvXs3aWlpWh1LMC9nrmMy4PVkYp3CBn4ghFiM1/drw09mCcL2ZHRz1YENcdwuqT1Cixcvxmg0cujQobCvEcjIqJXBy5cvJzNzphxjpKnvHTt2kJOTQ01NDUIILIursK6/GtPrDwc91z0+GTMjA6BPib0no1J+Ui7dzdFfR56xniWlwyEfb88qJcfj//jJtDzSUqb2qBmNRvLz88nPz0dKqelF+9ap5OTkkJGRMcOgHAkjEw/pTSnl5UGPCS+7BHC5EOJdKWX4H8oIiLmR8a1RUXuExsfHo5oG6XvtAwcOMDg4OKUyONh5wVDfvJWVlVRUTJ0WkLf+DHq6WknZ869Zr+GesGHKzoxd9a8cxYmYov8SK+ZZxmirrce0LfKxO47qVZy0KjxxKr0lEzz+tWaGV57ObG2wap2K2Wxm/vz5Wp2KOs0xJSVFawFITk6Om5EJFpMpKgp9OkUsCSO7BHAzXq/o2DQyHo8Hl8s1pUZl+oC3UPH1SNxuN01NTaSkpFBXVzfrix2OJ6MWU2VnZ5OVlTXj90II8q+4lv77O0kaaJv1WopHQR8jjRmTdDKWNY/koY7gB0dAVX0ardv1iAjG2jrziqk9Kw2dLvTX1GEuIMvd77c62pZiQaaFJxDuW6cipWRycpKBgQGam5txu90oikJGRgbp6ekxMzahqOLFQd83JKQM68tNB8R+bOgsN4spRqORqqqqKS9spO0B6nnj4+PaXKUlS5YEfdOEYmRUr6itrY36+nrt28/vOpJMZFzzX7iTZn8D9dliux+X5plGL1bkpU/iXht+b5A30LuEVFN4XxoiJ9+vlyclDK84PSpDIIQgLS2NsrIyamtrWb16NQaDgaGhIbZs2UJjYyOdnZ3YbOFLevgSLPB7JFTxvHgbJEN5HMYExL0+RiUuMZnp6niRGhkhBC6Xi+3bt4ed+p7tfh6Phx07dmAymTSvKJhhSsnNwXHpLci//hQRIDifOnQIh7mUJKKbAa3dUx+b6wSiulbH3q1J6Fyh3ydzw6kUZgyHdR9nahaZngCiVKkW3OZsDDHsXNbr9RiNRhYsWEBycrLm5ezduxen0xmSnIM/PB7PrMmLeMRkQkESVuA3G++8pWPbyEzHNz0cKmpnttPp5KSTTgqrZmI2g2Gz2di+fTslJSVTslKhrNGytJreU68k6c1H/f5ej4c+mUOJmNG/FhGp7lFGUrMwTsZe9wXAkuKAk06EN/8R0vHyzDNYUjIc9n2UvFJ00k/PE8C6i5Gu2E8W8I3JpKamkpqaSmlp6Qw5B5PJpCnlBcsMHdXbpdCNTD5QRFwk5P0zJ0YmXFwuF42NjaSnp5Oamhp2UVYgI6NmvJYuXToj/hJMUU8l/6xzvIHglvf9/t4zOcmsEcwwEELgyiqKm5EBWLrSw87NaeiDDGNzLF3FSSvD//LzilIN+BelSrGgLypHaW2Na5+RL9PlHGw2G4ODg7S0tGC328nMzNT0gKcblHgV40WPQAk98rEb+KmUEchBRsicbJfCYXx8nMbGRk04fGAg/PJ6fxW/akNmoHEtoQaLhRDkXXUDA/d1kjQ0s68sc2g/7rQCDMSmudVkim+9ZLrJiWHdCciXXwt4jDN/HrVnpodc0etLIFEqCYh6b6FrPGYkhZpdSklJYd68ecybNw9FURgZGWFgYICDBw9qolWqlxNKTOZYCPxKKYPXZMSQo8qT6enp4cCBA9pca5Vw34Q6nQ6Xy/uBUBRFk1acroo3/ZxQM1L9w0O0rzydyneewuCc6nUaFSdW8ihm9o7nUEn3DDFhMKF3O2NyPX8sW2Kj4d0sDGMzPSZPUioLNiwi1RS+F+MxJJPJsN/fucz5GMurgfjUtERiuHQ6HVlZWZqXa7fbtW2VzWbD4/GQkpJCWlqa376oI2VkwozJzDlzJuM123ZESsnevXvp7Oykvr5+ioGJpLBOPUcdl5ucnMzKlStn/RYKNSO1f/9+Ojo6WLXuFNpWnO33xXXaYqfPrEfBmR3bVoDpJBs9JJ++xu/vMjeuo8AcWYzQUbgAYwCPTrfsBO3/4zXtMdprJicnU1xczIoVK7S+OJvNRkNDAx988AGtra2MjY1pXrvb7Y55vxSAEOLLQggphAg4UD6MMbVzTty2S9NRMz7Tv7F8lfFWr14941z1vHA7qm02G5s3b54yLjfYOaFmpFatWgXAgtNPY9DjILvhxSnHZg4eQJlnQeevCzACdKnxT4suWzDKlpwCjAO92s/kmWewZN5wRNfzilJN+lU/sWfOI2lRzYf3iZORiSVqBrKiogKTyYTT6WRgYID29nbGx8f5y1/+gk6nY2hoaFYVxnARQpQC5wCzyiXOhQEJVaVvOnPmyfhLK4+OjrJ582bKysqoqqoKaJzC9WRGRkawWq2sWrUqJAMDs3syDoeDLVu2kJWVxaJFi4APK1DLLrkUW/nqKcebPBNYCe2+oZA2RbcoPhj1EvNpH04GcCyrYc2q8FQCfbEXVpEk7f5/t6B2SszuSGnjhovvOk0mE0VFRSxbtoy1a9dyySWXMDIywsUXX8wVV1wRy9veA3yFWcW+BVKG9oiSH0spV0opa4Bn8Kr0BWXOYjLTjUxXVxetra2sWrVq1n1sOB3Vatp7YGCA/Pz8sPbHgVLYo6OjNDU1sXjxYrKyslAUBSGEZhCFEGRfdQPDD3STNPJhHMbuAGLkOSdJB+OWYpKHY5MaD8TS+SO8W1QGHoXVZ6YiRGTBaykE6UaX34/FaOZ8DkkDk5s3a5kcj8dz1HsyEDiFLYRg/fr1mM1m3n777aiL/nyuewnQKaXcPtvfR+IVXo83oan0zWTOtktqa4EqUWiz2Vi7dm1QYaFQC/nUtoPU1FSWLFlCR0d45fj+Yka9vb3s37+fVatWaRXBvgZGe24pyaRe/R84f/cD9C7vGyxzpBXyZ2axIkVmZEOcjYxOB9lnrSQrZZIUY+RejC1/IXly5vmDGQsQp2+k2pykCXMPDAzQ39+PzWYjPz8/pHqVI0mgD7tvKMBf9jIQZ599Nq+++uoOP7+6E/g6cG7Qi8iwsku5QogtPv/+lZTyV6GeHEylzx9z6snY7Xb27t1LdnY2ixcvDunbKxQjo8o+zJ8/n+Li4ogaMn23S1JKDh48yODgIGvWrNG8HH8GRmXCoKd31bnM3/I0ACb7MH2UkUdsZBhT9PEf9tdlWYH9wuvo62whZ/vvMcjIMlqpKboZolTdmctwnLiRErPU/s7p6elkZGRgt9spLi7GZrNp9SoWi4Xc3FwsFkvYW6l4yaXMdt1IWwpeeeUVgOXTfy6EWAFUAKoXUwJ8IIRYK6XsmbG20GMy/VJK/1F+YqDS54c5MzJut1uTxww1TgLBYzKq7Kav7EM0GSlFUdixYwcGg4Ha2loURZl19KiUkvb2dvr7+1l57jkMCQ8pm58BQBH6mI3NSnWPMJKSidE2EpsL+uDQpdCy7N/wLD8ZnRAomWvZmVXIgrd/QbozvNEJttwKcpWpMaRWSx39yy5m7WFFSvW1UZtpJyYmMJlMmM1mioqKkFIyPDxMf38/LS0tJCcna/UqoUwDOBIxnvHx8Zj2LUkpm/BW5wIghGgF1kjpb55vTOIt6n2jVumbzpwYmc7OTvr7+6msrAzLwEDgmIz64e7p6Zkx9iRSI+Nyudi8eTOFhYWUlJQE3B6pqDU4Ukpqa2vR6XTkfuxC+nvaSDnURPJwJ2TGpivbW/1bHHMj05m1iv5TrkNkWKber6iM/R/7BkWv30f+WOjiWSZzCng+DPjuzl7HgaJzuWjRh6+HagBUUfny8nLS0tLweDzaa52RkYHFYkEIgd1u175MXC6XpiOjzjuaTryMzGye95FtKZiz7FKVlFJ9MwRU6ZtOXGMy6ofQ6XRSXl4e0Wxrf9slRVHYtWsXUkq/Y08iyUjZbDasVisrV64kOzs7qIFxuVw0NTWRnZ3N/PnzteN0Oh1ZV9/I6APfxzRiZSJ3KWmu2LQFGJNiY7AA7PpU9i/7OJ5lJwZ8jiI9g+7zv8T4W3+hsuuN4NfMKiHbPajJOTRkn0tDykmcN68Tl2uqMqLD4aChoWHKF4/BYNA8R0VRtNfdaDRSVFTEvHnzkFJOmXeUmpo6Qy0vXsV9sxFrT8bP/ctn//2cBM5DUumbTtw8GYfDwfbt28nLy6O6uprOzs6YCFepb86CgoIpH25fwtX4tVqt7N+/X5sIGMzATE5O0tTUREVFhd+hdMa0VJKv+k9cf/gBij4ZYhROSfcMYdMb0Xmiu2Bndg39J187w3vxhzAYGF9/LbsaSlm862H0BP676jMzEcogEsF7OZfQYKjn8tWDTIx6C9gAcnNzMZvN7Nu3j8WLF8+oKVGNg9pJrRobKeUUL0etyrXZbAwMDGhqednZ2aSnp8c8WxWKKt6RkXnw4pkDIxOKSp8/4mJkJiYm2LJlC4sXLyY311ukaDAYcDrDDyT6Ghl14qTvdf0R6nZJVfHr7+9n+fLl7N69W3uzBHqTDg8P09zczLJly2aVnkgrKWbwYzcg33k+Zg2TBhQc2aWk9B2I6Hy7Po2WFZ9AqV4b9ofQXXM6O7OLqd78fxgdM/WOHOYCsjwDKDoDb2ZfwXa5gk+c4qYgMwNyM6isrMTpdNLZ2UlTUxNGo5Genh48Hg/Z2dmztnuohkf1cjwej/b6JiUlMW/ePK3DemhoiN7eXoaHh9m5cye5ublkZ2eHrS89nWDe0RHtWzqC1byhEBcjk5qaOqMRcbZ52LOh1+txuVxaXc1sEydVQvkAKYqiDZlbvXo1Ho+H4uJi9u3bh9PpJDs7m7y8PDIzP5TU7O7u5tChQ9TW1oYUgMyuq8Pa2YZz7CAmZ2yEyESE1b8dOasZOOUaRHp4CnRTKKuiJecbzH/zl6QOTStAzclHYYSXsj5Bs7uKC+s9FEy7lcPhoKenh/r6elJTUxkZGaG/v5/9+/djMpnIzc0lNzc34Ovr6+UAfr0ci8WCyWRCp9NRWlrKwMCAVs6gbqsi8XSOZpkHmLPtUkTExcjodLoZtQLRCFf19vZiMplCqqsJBafTSUNDA/n5+VqAV6fTaRozHo+HgYEBOjs7aW5uJiMjQwtKqqproZJ74UYGX3ya7N7YTAdIleNhNSvY9OnsX3kNypI1MdlCuNJy2H/OHZS890ey2t4DvKJUaWKCv2d+kv3u+Zyw2EN16dQYxvDwMLt372bVqlWaEVGbEauqqrDZbPT397Nnzx4cDgfZ2dlBU9iBvJzh4WFMJhPJycmUlpZqmsCDg4NaG0BGRga5ublkZWWF9HqGMqngSG6XPnKejD8iMTIul4uDBw8ihKC2tjYmHxJVSmLhwoXk5OT4jb/o9XpNJd/tdtPQ0KB9YzY1NWnasqE0w+n0OjhlI39983RKJvcw37GbYk87ughz2ynYGcgoInk0eJf3odx6Bk/+BCI9trOApCGJQyd/GntWKYUNj+MoWMBLmZfS4SmiskjhtGVTzeDAwAAtLS3U1NQE9ABTUlIoLS3Vtj2Dg4P09vayZ88eUlNTycvLIycnJ+DfXDU2XV1djI6Osny5t/RE9XaEEOTk5GiawBMTE/T399PW1jZFYyY1NdXv+yyUmIw/jeg5QYIyp5OUwmPOK35DZWJigu3bt5Ofn4/T6YyJgenr62Pfvn2sWLFC0weZLcCrzo0qKirSVPQmJyfp6+ujqakJRVHIzc0lLy9vVhc8N1OQU5LLuwcLeNd4GinKBBXuvSxwNVPu3oeJ8GJVjtScWY2M3WCmRfVewrpyGAhB39KPMZFRwvbhIvo8eWSbJRvWTv0i6e3tpa2tjdra2pDFx/R6/RSR8ImJiSl/85ycHHJzc8nIyJjyN29ra2NoaIhVq1ZN8X7U+if1IaUkNTWV8vJybb7TwMCAJungT7gqmGDV5OQkpaXx7ZYPhAQUefT2fh2Vnow6V2nFihUAtLfP2oAaFCklbW1tWK1W6urqtBT3bAZmfHycHTt2UFVVpamogTfeNH/+fObPn4/L5aK/v5+DBw8yMTFBVlYWeXl5ZGVlzXhDrl+hsK9Lx6RDYNOlsctUyy5TLXrppsR9kAXuZha49pAhh4M+H8MsUwKGyuppq/0EurTYei/+kBIalOX0Sx3JJsmV69z4Dmvo6uqiq6uL2traiAOvQgjS09NJT0+fYhAOHTrE2NiYtu0ZHx9nYmKClStXzvjb+9tW+RodIQR5eXkUFnoLXdVY0cGDBzGZTOTk5KDT6Y7q7NLczoQMj7gZmUjExNVsT19fnzZXKdKZTer1pJTs2rULgLq6uqAVvIBWabpixYpZ3zhq/UZRURGKojA0NKQZyLS0NPLy8rTJmSYDnLbcwwtbp/7JPcJAm7GKNmMVryVL8pQeKl27WeBupsgzU3kPIE8/zJDRTJLrw2CyKzmDzvprGS1dPWet9d0D0D+iQ6+TbDzRTYZPGK69vZ2BgQFqa2sjqo8KhNFopLCwkMLCQqSUjIyM0NLSool4t7e3k5eXF3Db4y94rG6p1PeZ2u4ghMDhcGjBY6fTicfjIScnZ0as6MgGfgVKIiYT2gSBnTt3otfrtX6hUM4LhPoGUWMooVTwglemUx1MF654ubqvV6cd9vX1sW3bNs39X5CXS2FWBj1DAe4vBH36Ivr0RbzHGaQpo1S697DAtZsy936MhwtuhBAMpc6jcMRbcDlUfiJddf+GJ8jIllgyOgGt3TpAcuYqD6WHKwrUvq/x8fEZ25Z40N/fr83icjgc9Pf3s2/fPmw2G1lZWVpwN1iKPFAhoMFgoLCwUBtjnJaWpn0JqQPlMjIyYp7CFkJ8G7gJtOa3r0spn/N3rOQjmF3yx2zTAOx2Ow0NDRQXF1NWVjbld5EaGYCtW7dq251gBkZKyZ49e3C73axevTrqOUDqtMPKykrsdruWOSlNNmEVq1BCeFNM6DJoMtXTZKrHIJ2UufezwLWbSvduTMlG7LZMek68jtGSmojXGglOF+w44F3/qkqFmgrv6yqlZN++fbhcLlasWBFX+Qb1Xm63m6VLlyKEIDk5WcsQqp6lb/+TmiIPFHwOVAioav9aLBbMZjMWiwVAa3e48847ef3110lOTsblcnHiiSfGynu7R0r5k9D+HrG4XXyYs+1SINSiqerqar+KYpEYmf7+fsbHx6mtrfWrATMdVSYiMzMz5O7wcPB98zudTnr/NUz7YHiZCLcwccBYzQFjNUiF/JQOytZaMJnn1kVXFNjeAiDIz3SwumQIRclCCMGuXbswGAzahz5eqF8IANXV1QG3Rb5TCdRs0s6dO3G73Vrw2LcOyt81hBC0tLSg0+m0bbFaCGgymSguLuaee+7hiiuuYM2aNfzhD38IqpEUDxIp7AB0dnbS3t4ecIIAhN/s2NbWRm9vL1lZWSQlJQU1MDabjcbGRubPn68F/uKF0+lk+/btnFg5j74JCzZHhG8MocNqLEOMShaY5+4rTErYeRBcbh0ZqZJzlw/R39/Hvn17cblcZGRksHDhwrgbmN27d6PT6Vi0aFHI90pLSyMtLW1KzYxaB5Wenq55Ob4BalXT2el0zjCcvl6Oy+Viz549fOxjH+Omm26K5dO9VQhxPbAF+JKU0m8TnJTgURJGZgqKomhFV/X19bMWQ4X6JlIUhebmZhRFoa6ujgMHDmjxmPz8fL+tAiMjI9ocJlUmIl5MTk5q9Tm5ubmcpnh48YPo/vy9g1CYDWmx08YKiJTQ2g1jkzpMRm8mKTs9h/xcC9u3byc3NxeDwUBjYyOA9qGNZR+RGsQ3mUxRGTODwaDVQaniWf39/VP6q3Jzc+nt7cVut7Ns2bIZ91JjOR6Phy984Qucf/75FBcXh7WOs88+m56eHnbu3DldtOpO4D7gu3hDLt8F/ge4MdC1PrLbJX8/U4OxWVlZLFmyJDZVqC4XDQ0N5ObmUlpaiqIoVFRUUFpaqpWtq4HA/Px8LBYLVquV1tZWampqwlIyiwTVmC1fvlybxLCyXNJwUKF3KJrAqOBgNyyvjP87rH8Eugd06ITkonoP2elohYpqhzRARUUFTqdzRmo/WAA2GGrnfUpKCpWVlTEzXEIIMjIyyMj4sL+qv7+fpqYmHA4HBQUF9Pf3++2vUhSFL37xi+Tk5PDjH/847DjeYcEq8CNaNW2Nv8arqRuQRHbpMFJKtmzZQlVVld/u5UhQi/YWLFhAbm7ulO2Rb4pZrSLt7u6msbERIQRVVVVhT6cMF6vVysGDB/0as/NWe/jTa9EJDo1OCAZGJDlxdMQm7bDvkHeN65YpLCiUWmvG/PnzKSgomHK8GqsoLi5GURSGh4e1QsiUlBQttR/q+BBVSMxsNlNRURHz5zd97Q6HA7PZzAknnOC3vyozMxOz2cwdd9xBUlJSRAYmGEKIIimlWnF5KeBPolPjI+nJTMdqtTI5OUltbe2U4rZoUIWM1HqW2eIvaul4b28v+fn5FBYWamXlycnJ5Ofnk5ubG1Oj097eTl9fH6tXr/ZbjFaQCUvLFHa2RZeJONjhxpKmQ2+IfbrY6YLGw4HeJaUKJyxSsNvtUwz7bOh0OrKzs8nOzkZKOaNiWi31N5vNfl83RVG0oHx5eXnMn990Dh48yNjYGMuXL5+ydkDrr/qf//kfNm3aRGZmJj/96U+DVgNHyI+EEDV4t0utwC2BDpQxVMaLB3HfLkkpOXDgAIODg7P2ngRj+mye9vZ2uru7qaur02ocZgvwqvOd8vPztTS52pw3MTGB1Wpl+/btWvWnWtAV6VrVbm5VMS8QZ61U2N+tw+6M/E3iVEw07x1m+dLA0hORYHfCroPekvWCLMmFdR4ttrRkyRItlRsqQggtAFteXq5VTLe1tTE+Pk5mZiZ5eXna1sTj8dDY2EhOTs6M0oZ4oA5rUw3MdFJSUigpKcFgMHDqqady5ZVX8vjjj1NRUUFlZWVM1yKlvC70gz+CvUsqbrebHTt2kJSURF1dHbt27Yqo5kXNMKntALt378btdlNXVwd8aIACinxPTNDU1KQFXaeTlpZGRUUFFRUVOBwO+vr62LNnD06nk5ycHPLz8wN+005HLSpMTU31GzCcTpIRTl3q4eWG6F6KEWc6ExMu0tKi001R8XhgdxvYnTrSkiVXnuxmcnKcpqamoFo6oTK9YnpkZIS+vj5ta2K32ykqKpoTA9PW1sbIyAgrVqyYVc/5hz/8IR0dHfzhD39Ar9dzySWXxH1toRBK3dWRIm5GxmazsWXLFkpLS7XmwkgL69TzFEVh+/btZGdnU1ZWphmX2TyFwcFB9u7dy/Lly0OqXUhKStJqWtxuNwMDA9o37Wy9SfCht6RqBIdKTaVk20GF/pEoCgD1Bpr3jrOmNjZGZl+HYNIuMOgll5/sxmn3Bq9XrlwZlx4d3znUHo+HrVu3kp6ezuDgIFarVdtWTW+KjAXt7e0MDw8HNTD33HMPu3fv5uGHH45pq0S0eBskj/QqAhM3I+N0OlmyZMmU9neDwRCxkRkfH2f37t2aJmwoLQIdHR10d3dTW1sb0TbNYDBQUFBAQUHBjN6k9PR0LYBpMBhmpKjD5YI6D398TUAUWQKHPgOr1UZ+lPOe2nsFg6MCgeRjqz0YlUGa9+6dk0ycmrEqLS2lqKgI8GYPBwcHpzRFqtuqaPWF2tvbGRwc9NtYqSKl5Je//CVbt27lr3/9a0w0jWLNRzLwa7FYcLmmatFGqo7ndrvZuXMnK1euJD09PaQWgX379mG321m9enVMvnWm9yaNjY3R19dHW1ubpqi/dOnSiAwMQIEFFs+T7OmM3MgIoWN/hySaxN3Bg+N0j3vT7DWVCrnJVvbtOxCxoQ4HtRShtLR0SmGk0WjUjL3aFNnX18fBgwcxGo2asQ/XAB46dIiBgYFZe6yklPzmN7/hzTff5PHHH497NjJSPpJGxh+RbJcOHTrE+Ph4SBkk8MZEmpqaSE9Pj1v/jG9thdlsZv/+/RQXF9Pa2sqBAwe0wPFsWsH+OLfWw/4egdsT+ZqlMZ0DB0aprAy/rN1qtdE1mobQCXL0gywrGKe1tSNgdiyWuFwutm3bRnl5+azlDUIILBaLFnS22Wz09fXR3NyMy+UKqV0AvF5uf39/UAPzhz/8geeff56nnnoq7kY2UqT8iMZk/BGOkVHLx51Op/amCxbgtdvtNDY2TnG148mhQ4ewWq2sWbNG+xCqxVxqAWB2djb5+flB3/QAySY4eYmHN3dG97J0D5uY71bCSmlPTLjY12EAgw6L0s6i/P3s3u2ioqICt9sdVyOj1txUVFSEPZcrJSWFsrIyysrKZrQLmM1mTVHPd4vT0dGB1WoN2iX+0EMP8cQTT/C3v/0tJE3nI0mYE4DmlDmt+DUYDDgcjqDnut1utm/fjsViYdGiRVocJCkpifz8fPLy8ma4raOjo+zcuXNGHCgeSCm1carTU9S+hWhqAaD6pp+eovXH2kWSbQckY7Yotk3GZHbtGWbFstAyQB63QuMeF1KXSnXuCCvnOxgeTqeqqorBwcEpXkKsg6/qiBtVDjUaprcLjI6O0tfXR2trKwaDgby8PG2iwapVq2bdRj/66KM8/PDDPPvss0f1bG6Vj2Tg1x/hzLVW3WZfiUtVhlGtZ1ENztjYGAcPHpwiUh0v1BR1SkoKy5cvn/XDNl1GUq183b9/v1b5mpeXN8VLEAIuqHPz17cMRBMEHnWFntLe1jSBW6SzpnSM+TldjI87tEBoWloapaWlmpegBl9DMZjBUCU+Fi1a5LcDPxqEEGRmZpKZmcnChQux2+20tLTQ399PcnIyBw4c0LZV072ZJ598kgcffJBnnnnmiKrdhUpCT8aHYEZG/dZctmwZZrN5RvzFt5DLbrfT19fHBx98gNPp1HqWphftxRKXy8X27dspKCgIW89VCKGlaH11a31FrfLy8rzufz4sKbLTsE8hOT2yN7k3pT0RNKW9s3mUSSWd05ZMkJ3UhtuN3/qe6V6COqt6//79JCcnh90qoBqYxYsXz4kA99DQEA6Hg1NPPRVAazHZvXs36enpZGdnYzKZeO+99/jlL3/Js88+G5NaoDlBfkQDv4G2S4GMTEdHBx0dHZoiXbAAr8lkYmxsjKysLBYsWMDAwIAWB1EL6GLp1ttsNq2UPty4wXSm69aqBlPdluTm5rK8UEe+zoolfznv7JB0DhkxpKaGVb7u0JtnTWkfOjRB/3gq562aJEnux2hMZsGCBUH/Zr4GU62YVlsFpJSa5xko8K3+LSOpGo6E7u5uOjs7p0iB+nqYY2NjNDU18dnPfpb+/n4+//nPMzQ0dOSmD0TAR3a75E/nd3oKWxUgstvtrFmzBiCkOdSNjY3k5uZSVlaGEGJKHMRXaDpYAV0oqPGeeElCqPOBSktLNW2SgYEBjEYj0nGIS07Jx2JJZWjUwetbHLR06yApDb1h9m3KbCntoSEHB7r1bDzRjnNsD+kWS8S9Qb4e5vTAt/r3VzVx1e3wXMhrAPT09NDZ2UlNTY3fbZ2aKVSbIjdt2sS7777Le++9F/NWgXjh3S4d6VUE5ohul9QAb0ZGBitXrtR+F2z0RGNjI5WVlX5Tnb4zk9QCOqvVyt69ezGbzeTn55OTkxNyHEGNocxFIZo6VUFRFM2tV8eu7tmzB7PZzKkr8ti4PgeXx80/to6zsxXspGBK9l+/4U1pj1BZ+eH0AofDw869Lq4+DYb7dlFQUBBWhfJsTO/A9p2flJyczNjYGCtWrJgTA9Pb26tN/JytgO7NN9/kW9/6Fs8++yyFhYXazKZjCc9HMbvk92Y+2yX1G02VClAHcM3mqg8NDbF79+4puiyzMb2ATi3iOnDgACkpKVrndaD0bEdHBz09PdTV1cW9TkTtydLpdFPqe3zXr2ZLDh48SFJSEsvL8jijLg+jEd7bMcrWPQrDjiSSUqcaw+7hJMrcCgaDDqlIGneM8YmzjPR0NFFSUhK3dL9Op9MEoMbGxti+fTt5eXns27dvRhwq1vT29tLe3h7UwLzzzjt87Wtf45lnnombMmJ5eTlmsxm9Xo/BYGDLli2xvcFHNSbjD9WTGRoaYteuXQEDvP7o6uqio6Mj5DnU0/Et4lq4cKHWeb1t2zYtvZmfn09SUpKWorbZbDEf6eEPtYBQlTMIJPjlmy2ZnJzEarVqcZCivDw+eUEeaWkGmg+O86/tbnpGjRjTUhHGZJoPp7R37x7m6jMNtB/crrVoxJuxsTF27NhBbW2tlq2ZHoeKZXrcarXS3t5OTU3NrAZm8+bNfPnLX+bpp5/WRLfixeuvvx5xNXgwJB/ROhmYGZNRlfH27NkTcoBX1VmdmJjQBrPFYl1q4LWyshKbzTblA+vxeDCbzXFX3IcPM1bhNlWqExDVOIgqCmW328nJyeHy9XlkZqbSM2DjjS0O2vsFbQeG2bBOz/59jXFJG/tDjWdNLy/wjUOpjaixSI+rdTHBBspt27aNz33uczz11FNz0uUdb45mT0YEmSgQ1dJdLpcmAi6lZO/evRw6dIjTTz9dM0DBWgTUmpR4C1Sr621oaCA5ORm3243T6SQ3N5f8/PyYatWqqOJPFRUVMVMKVAPffX19jI6OkpmZSX5+PtnZ2Zpo+lwFXYeHh9m9ezerVq0KeUvkW080ODiopcf9FWBOR91KBjMwTU1N3HTTTTz++ONUVVWF9ZwioaKigqws70SHW265hZtvvnn6IVG9seYvWiO/+r+hbcH+63yxVUq5Jpr7hcucbJfcbjeNjY2YzWbtzRZsiqM6h7q4uDjurix8OLXA9wPvdrunaNWqLQIWiyVqg6Nq3MS6TmR64Fv9wKr6OOXl5XNSwTo0NMSePXvCMjAwNT0OaOnxxsbGWdPj6usUzMDs2rWLm266ib/+9a9zYmAA3n77bYqLi7FarZxzzjksWbKE0047LWbX904rOHpdmbhvl2w22xQtWFVnRv0g+HvDj42NsXPnzjl36ad/w6vTAwsLC7UWga6uLnbv3j3FQwg3Ne5PWDweqPKROp2OwcFBli9fztjY2JQCwPz8/Jj35agaPjU1NVFfO5T0uMfj0XSUZzMwe/bs4cYbb+Shhx6iuro6qnWFgzrFID8/n0svvZT3338/pkYGju7tUlyNzNDQEE1NTSxdupSMjAwURWHp0qW4XC76+vo0hTvfLYmaMg42hzpWqBMGg7Uk+GZDpotjp6ena6nxYFoj6v3mIiWu3m///v1awDwvL0+LQ/X19bFz5048Ho/mIUS7LRwYGKClpSUu0hDT+8KGhoZoa2tjcHCQ3Nxc7b/+XoMDBw5www038Mc//pEVK1bEdF2zMTExgaIomM1mJiYmeOmll/jv//7vmN/nIxv4VTVupw9ZM5lMzJs3j3nz5mk6ry0tLYyOjiKEYNmyZXPi0qsp6kjmXvuKY4+NjWlTCWZr4uzu7p5S1Rxvent7aWtro7a2dsb9fLuX1dfAd1voW0AXKr4xkXg/P71ej06nw+l0sm7dOk02tb29fUZ6vK2tjWuuuYYHH3yQmpqauK5rOr29vVx66aWAd/v9iU98go997GMxvYc8ylPYcQ/8Op3OoAFeddib6tX09fUxOTlJdnY2BQUFMZdc9M1YLV++PKYpajU13tfXN2VL0tvbqwkkzYV0Y1dXF11dXaxatSqsGh+1gM5qtTIyMhJyAaM6xypYTCRWDA4Osm/fPmpqamZ4TGp6fPfu3XzlK1/B7XZz55138u///u/xmCoQC6J6c5cuXCO/8D+bQzr2Sxt1x1fg9/rrr8ftdrNx40bOPfdcv9sfl8ulDXtTa0R85yT5tgcUFBREHXRVh4QZjUZWrlwZ84yRryi53W7HarWyefNmPB4PZWVl2O32uG8D29vbGRgYiKjGx7eATi0AtFqtHDhwIGCmx7fwbS4MzNDQEHv37g24JVPT4waDgYyMDC6++GL+8Y9/sG/fPr7//e/HfX1Hgo+sJ6MoClu3bmXTpk28+OKLVFRUsGHDBs4//3zMZrO2fy8vL58xIGz6ddTy+pGRETIzMykoKAi7H0ntecrLy5uT2gjVoJlMJubPn8/AwABWq1WrZYl1E6c6fkb10GL9ra1mevr6+gC0Qr7+/v6ghW+xQs1aBYv59Pb2cvnll/OTn/yEM888M+7ripKo3gAlC9bIz/3o/ZCOveMK/Zx7MnE1Mr4oikJjYyObNm3i+eefJz09nY6ODh5//HEWLVoU8nWklFo/0tDQEBkZGVqWZ7Zv7XjUpMyGOjNI9dCm/66/vx+r1apNQVBT45EaBrUOyePxUF1dHfeaIofDQUtLC319fSQnJ2uB43hME1BR626CZa36+/u57LLLuPvuuznvvPPishYVj8fDmjVrmDdvHs88M+sk2dmI2sh89oehGZmvXhm9kRFCfBn4MZAnpewPdvyctRXodDpqamqoqalhxYoVfO9732Pjxo3cfPPNZGVlsXHjRi688MKgpddCiClB15GREaxWKy0tLaSlpVFQUEBubu4Ug6OWtVdXV8+JtIDT6WT79u3MmzfP7xB2vV4/YwpCT08Pe/bsCdlo+qIOojcYDHNiYMAb5FX1WaSUUyp2LRYL+fn5UXW+TydUAzM4OMiVV17Jt7/97bgbGIB7772X6upqRkdH436v2VDmqE5GCFEKnAO0h3rOEZntUFJSwltvvYXZbNYmC2zatImrr76alJQUNmzYwCWXXEJ+fv6sHxjffqTpWR61AVKn082Zah6Erzvjr4lTNZqpqalBmzjVOdGqNs1cGBg15uMbxPY1msPDw1rne1pamvYcIt1OjYyMhGRgRkZGuOqqq/jqV7/KRRddFNG9wqGjo4Nnn32WO++8k5/+9Kdxv18g5ljq4R7gK8DToZ4wZ9ulUJBScvDgQR5//HGefvpp9Ho9F198MRs3bqSoqCisD9D4+DgtLS0MDg6SmZlJYWFhSKXp0TA+7p2wGAuPSUrJ+Pg4VquV/v5+jEajlhpXYxFzPcYVvJMWgw1CU/H3HNTAcahFeiMjIzQ3NwetHB4bG+OKK67gs5/9LFdddVVYzylSrrjiCr72ta8xNjbGT37ykyO2XZpXuUb+1/feC+nYb3zc0Ab4bnF+JaX8VSjnCiEuAc6SUn5eCNEKrDmqtkuhIISgsrKS22+/nS9/+ctazOZTn/oUHo+Hiy66iA0bNmhCVYGQUtLb24sQgtNPPx2Hw4HVaqWhoWFK2X0si8WGh4dpbm5mxYoVIU2qDIYQArPZjNlsZsGCBdqg+sbGRsArAdHX10dpaanfLVk8UIfRh2JgYOZzmF4AGGx0zOjoaEgGZmJigquvvppbbrllzgzMM888Q35+PnV1dbzxxhtzcs/ASJTQXZn+2WIyQohXAH+aF3cCXwfODXd1R5UnEwgpJT09PTzxxBM8+eSTjI+Pc+GFF7Jhw4YZcpFqRsdgMLB48eIZb141rWy1WgG0OpZoqm9VjZpVq1bNyeiM8fFxGhoaMBgMCCHi2sQJH2atJicnWbZsWUziLGrVd19fnzY6Ri0AFEJocbRg29zJyUmuvvpqrr32Wj75yU9Gva5Q+drXvsaf/vQnDAYDdrud0dFRLrvsMv785z9HcrmoXrTiyjp5y3feDenYb19niijwK4RYAbwKTB7+UQnQBayVUvbMeu6xYGSm09fXx1NPPcXjjz/OwMAAF1xwgRbDeeWVVzjxxBOZP39+0OuoHo7VatW+WQsKCsKK3XR2dtLd3R120VukqALcVVVV5OTkaNW6Vqs17DlPoaBq6zidTpYuXRoXI6bWRPX19TEyMkJKSgpjY2PU1NTM2ttlt9v5+Mc/zmWXXcbNN988J/Eof7zxxhtHdLtUXFEnb7orNCPznRsiMzLTOWa3S6GSl5fHTTfdxE033cTg4CB/+9vfuOOOO2hsbOT8889n6dKlKIoS9Bs3KSlJ0zRRNVnUbuXc3FwKCgoCuvJSSlpbWxkZGZkTYSv4UHrUV4DbaDRSVFQ0pYBRnfMUbZZHDcq73e64GRiY2hemKuhlZ2drMh/qJATfeJrD4eC6667joosuOqIG5mghiLNwRDkmPZnpjIyMsH79en7wgx/Q39/PE088wf79+zn77LPZuHEjNTU1YX3I3G43fX19mneQk5NDQUEBZrNZ08HZu3cvbreb6urqOSlVV4PKy5YtC2lUh2+WZ2hoSGvinJ7eD4Qq8A743XbGA/U5rly5krS0tCmjY/r7+xFC4HQ6ycjI4Hvf+x6nnnoqX/ziF48HAxPVEyiqqJOf+tY7IR179yeTjq+2grkiMzOT1157TdMgueaaaxgfH+e5557j5z//Oc3NzZxxxhls3LiR+vr6oEbBYDBM8Q76+/tpa2tjfHyc7OxsxsfHMZvNcf1290WVhlA/fKEwvYlTbQ84ePAgycnJWqbK3xZPSklzczMGg4GqqqojYmDA/+iY5557js997nOMjY2xcuVK2traIp6ycNwgQR7FejLHhScTDJvNxksvvcSmTZvYtm0bp512Ghs3buSkk04Ka5vjdDr54IMPEEKgKEpMKnWDoWqzhCv+NBvTmzhVg5OcnKwV9iUlJYU0gylW62lsbAyamfN4PNxyyy0sXryY2267jRdffJGlS5cek9MFphGdJ1NeJ2+48+2Qjv3hzSnHb1vB0YLD4eCVV15h06ZNbN68mZNPPpmNGzdyyimnzBq4VYfCl5WVUVhYOGXcyvDwcFQiVoFQs1b+Oo1jhW+2TVEUPB4PFouFJUuWHHUG5rOf/SzFxcXcfffdcVmb3W7ntNNOw+Fw4Ha7ueKKK7jrrrtifh8/RPVkCuevDtnI/OiW1ISRmUtcLhdvvPEGmzZt4u2336a+vp4NGzawfv36KUFGtYpXzehMR9WltVqtDA4ORjTfaTqq9kwwtbdYofaWqV6aw+HQUuNqLCrWqGNxgikEKorCF77wBTIyMvjxj38cN69RjQGlp6fjcrlYt24d9957LyeeeGJc7udD1Ebm+q+FZmR+/J9zb2SOi5hMpBiNRs455xzOOecc3G43b731Fo899hjf/OY3WbVqFRs2bMBsNtPY2Mh1110XUHx7+pxrX3kE39aAUMvqDx06hNVqDTozKFaoBiYrK0tL/asTBHxjUeokzlgYnHAMzB133EFycnJcDQx8GAMC7xeQy+U6ZoLKYRTjzTkfaSPji8FgYP369axfvx6Px8M777zDvffey2uvvcYZZ5xBSUkJ5557btAamunzkcbHx+nt7aW1tTVowBW8VbUjIyMBx6rGmkCtCQaDYUo/0uDgYFRNnL6oou3q3K1AKIrCN7/5TTweDz//+c/nJIvn8Xioq6ujpaWFz3zmM5xwwglxv2csOJpT2Akj4we9Xk9VVRVdXV00NTXR0dHBpk2b+NGPfkRlZSUbNmzgYx/7WFARcN+yen8D5dT2BpPJpBW9ORwOVq5cOWcfqO3bt5Ofnz/rzKfpQlbq1lDtfA/HU1O3nqrucyCklHz3u99leHiY3/zmN3OmaKfX62loaGB4eJhLL72UHTt2HPWBZSnnrgs7Ej7SMZlgeDyeKd/U6rbiscce4/nnn2fevHls2LCBCy64IOyGSJvNRm9vL319fVrtTWpq6pylxdU55EVFRRH3Pk1vgDSZTFqbhr9GVNXAVFdXzzr3SUrJD37wAw4ePMgf/vCHOfHo/HHXXXeRlpbGl7/85YjOHx4eJjU1NZSm3Khe8IKy1fLfvvSPkI7939syjp/A7wsvvMDnP/95PB4Pn/70p/nqV78a6aWOSqSU7Ny5k02bNvHss8+Sk5OjaeL4Cw4HQjVciqKgKApSSq29IV7TDNxuNw0NDcybNy+mc7DV0bmq4fTtC1PbIUIxMPfccw9NTU089NBDcxKTUunr68NoNGKxWLDZbJx77rnccccdYctGSCk5dOgQt99+O/PnzycvL4/bb799tlOiMjL5pbXy6hCNzC++kHl8GBmPx8OiRYt4+eWXKSkpob6+nkceeYSlS5dGtsqjHLUCeNOmTTzzzDOkpaVxySWXcPHFF8+qiaPOwLZYLFpBmdPp1FLKbrdb+6DGShdYnZJZVlY2q+RptKh9YX19fTidThwOB4sWLaKwsHDWkcS//OUveeedd3j00UfnJKvmS2NjIzfccAMejwdFUbjqqquiGl9y6NAhbULBCSecwPXXXx9ISD5qI3PVF94I6dhffslyfBiZd955h29/+9u8+OKLAJp489e+9rVILndMoXYsq5o4RqORiy++mA0bNkzRxFG3KwUFBQHjIWqnstVqnZJSjrTb2uVysW3bNsrLy+dEghS8tSfbtm0jLy+PiYkJrU0jLy9vShOnlJJf//rXvPrqq2zatCludUHxxrdnbnJyktTUVGw2G9/4xjdwOp3cfPPNrFixQpvgcZiojcyVn389pGP/7/as4yOF3dnZSWlpqfbvkpIS3nsvNFGdYx0hBAsWLOArX/kKt99+u19NnNNOO41HHnmE2267bdbtitFo1IaZ+Y7MnZycDFuIXC0mrKioCEmxLxY4HA4aGhpYsmSJ1vKhzuru6OigubmZtLQ0Dhw4QH9/Py+88AJPPfXUMWtgfEcv33///WRmZnLJJZeQlpbGD37wA770pS/xy1/+kvvvvz+2cTcJR3Hcl7iE7P15R8dKvUEsEUJQWlrKbbfdxhtvvMFjjz2GlJKLL76YHTt28Mgjj7B///6Q0o/qyNyVK1dSX19PZmYmhw4d4t1332XPnj0MDQ0FvI7D4WDbtm0hS4LGAvWeixYtmjLrW21jWL58OSeccAJpaWn8/ve/51vf+hbZ2dn84x+hxRaORtT3+L333suDDz7I6aefTlpaGk6nE6PRyE9/+lNaWlq4++67Y3pfibd3KZTHkSAunkxJSQmHDh3S/t3R0TFn6m1HK+o8qa1bt/L444+zdOlSnnrqKb785S8zODjIBRdcwIYNG0LqePZV91NrWNQZ3dPlHdSA61zNFYcPvaZg99TpdGzduhWXy0V7ezvNzc10dHTMyRrjRX9/P3/961/585//TGZmJr///e9pbm5m/fr1nH/++dx333089NBDOByO2HlsUuLxHL1zauMSk3G73SxatIhXX32VefPmUV9fz8MPP8yyZcsiW+VxhD+dm8HBQZ5++mkef/xxuru7Oe+889i4cSNLly4Nqz5kurxDamoqY2NjVFdXh5Xxigan08m2bdtYuHBh0Hs++eSTPPDAAzz77LNBa44i5dChQ1x//fX09PSg0+m4+eab+fznPx+Xe7333nsUFhbyl7/8hccee4zq6mqSk5MpKirCbrfzox/9iO7ubv7whz/wX//1X751QlG5+XnzauSG/3olpGN/+4284yPwC/Dcc89x22234fF4uPHGG7nzzjsjvRQAN954o6arumPHjqiudTQzMjLC3//+d5544gkOHjyoaeKsWrUqLIMzOTnJtm3byMjIYHx8PGw9mUgIx8A888wz/OxnP+PZZ5+dsp2KNd3d3XR3d7N69WrGxsaoq6vjqaeeikmm0zd4OzExwV133UVdXR3r1q3j9ddf56yzzqKoqIhf/epXvPrqq1pKfnh4eHpdVVRGJndejdzwHy+HdOyD/51//BiZWPPmm2+Snp7O9ddff1wbGV/GxsZ47rnnePzxx9mzZ4+mibNmzZpZDY7a2awKXKnjYtR53Oq4mLy8vJjVoahbpMrKyqCzs1588UV++MMfavVFc8mGDRu49dZbOeecc2J2zd27d1NZWclLL73E7373Ox566CFN6/nXv/419913H3/5y19YtGjR9KySSnRGprhGXnLLSyEd+7tvF8y5kTkqp4/747TTTpuzmMLRgtls5uqrr+bRRx/l3XffZf369fzmN7/hpJNO4vbbb+ftt9/G4/FMOUc1MMuXL9fccSEEGRkZVFVVccIJJ2jTD7Zu3cq2bdvo6urC5XJFvE619qaioiKogXnttdf43ve+x9///vc5NzCtra1s27Ytpv1IO3fu5PLLL+fTn/40Z511Frm5ufz7v/87iqJoQukPPfQQixYtQlGUOCVAvNMKQnkcCRK9S8cIKSkpbNy4kY0bN2qaOA899BBf+MIXOPnkk7n00ktJTk6moaGBa665JqA2i6/a3IIFC/z2U/nOdgqGWnsTSmr8zTff5Fvf+hbPPvvsnGW5VMbHx7n88sv52c9+FpJ8aSi43W6WLFnCunXr+Pvf/86dd97JunXr+MUvfsFzzz3HRRddxFe+8hUMBkNImtORIgHlKA78JozMMUhSUhIXXnghF154IS6Xi9dff50HHniAN954gwsuuIDKykpOP/30kAbZpaWlUVFRQUVFBTabDavVqunKqBmsQGNefIv7ghmNf/3rX3z961/n73//O4WF/sb6xA+Xy8Xll1/ONddcw2WXXRaTazY1NfH4449z2mmn8eMf/5hly5bhcDjQ6/Xs3buX++67j/POO0+rWo5rg+dR3iCZMDLHOEajkfr6er761a/y9ttv093dzWOPPcY3vvENampq2LBhA2eeeWZI86BSUlKYP38+8+fP19oC1EFsqsFRpS7U/qdQqoc3b97Ml7/8Zf7+978zb968mDzvUJFS8qlPfYrq6mq++MUvRn0tdbujVl9v2rSJX/ziF1x00UUUFhZy1VVXsW7dOoaGhua0LSKh8RsjWltbueiiiz4ygd9wUEvYVTweD//61794/PHHee2116iurmbjxo2cc845Yc8EV8fF9Pb24nK5yMnJob+/n4qKiqD9T9u2beMzn/kMTz75JBUVFRE9t2h46623OPXUU6dMvfze977HBRdcENZ1VAPzr3/9i/fee4/U1FRN1OzOO+/k5ZdfZt++fTzzzDOce653yGIYW6SoAjU5RSvleTc8F9Kxj/ywNJFdCsTHP/5x3njjDfr7+ykoKOCuu+7iU5/6VFTXnMsaiiOJoihs3ryZTZs28dJLL7Fw4UI2btzIueeeG3Z9is1m44MPPsBgMCClnFWis6mpiZtuuonHH3+cqqqqWD6lI8KWLVu4/PLL+frXv87DDz9MXV0d1157LatXr+b555/X2kdOOumkcC8dlZHJLlwpz7s+tMFyf/nx/ISRmUviWUNxtKIoCtu3b9c0cUpLSzVNnNkkGODDLVJJSQmFhYWaRGdvby8TExNa42NGRgZ79uzhxhtv5NFHH2XJkiVz9Oxij+qNeDwevv3tb2M2m/nKV77CxMQEP/7xj2lpadFG09rtdm3iQ5hZpKiNzDnX/j2kYx/9n/Ljo0HyWEGdrQTedHF1dTWdnZ3HtZHR6XTU1tZSW1vL3XffzY4dO9i0aROXXHIJubm5bNiwgYsuumhGuYCqojdv3jwtcOsr0alOr3z//ff54he/iMfj4a677jqmPRjVwGzdupXGxkYqKyv5xz/+QVdXF8XFxXz729/m5JNPZvfu3SxZskSLe815n56UR3V26Zipk4k38aihONoRQrBixQruuusu3n//fe655x76+/u54oor2LBhA7/97W+xWq2MjY3xt7/9bYpRno46anbhwoVkZGTw1a9+lXfffTfqYOuRRKfT0draym9+8xvMZjOnnHIKKSkpvPHGGxw4cICuri7sdnvcxMVC5SPZIHmsEY8aimMNIQRLlizhG9/4BnfeeScHDhxg06ZNXH311fT29nL22Wdz4oknzroVaGtr49prr+W3v/0ta9bEzyOPZ4uJ2+3mtdde49xzz8XlcnHHHXewfft27rvvPgBOPfVUNm/ezG9/+1ucTie33XabNuHhSKLIo9eT+UjHZMBbQ3HRRRdx3nnnHdPfuvHA7XZz8cUXc+aZZ2IwGHjyySeRUnLRRRexceNGSkpKNIPT0dHBVVddxf333x/3OUXxbDFpbW3lhhtu4P/+7/9YtmwZe/bsYePGjZxxxhn83//9H+CV6XQ4HExOTrJo0aJY3Daq/VVW/gq5/qonQjr2qV8uSgR+5xIpJTfccAPZ2dn87Gc/O9LLOSrZtm0btbW1gPfv1d3dzRNPPMETTzyBzWbjoosu4uSTT+aLX/wi9957L6eddtqcrCse5QxqDObnP/858+bN0wr3Dh48yM0330x1dTX/+7//G7P7+RCVkbHkL5frrwjNyDx93+JE79Jc8vbbb/OnP/2J1157jZqaGmpqanjuudDqDQJht9tZu3Ytq1atYtmyZXzrW9+K0WqPDKqBAe+Wqri4mFtvvZVXX32Vp59+mtzcXD796U9z++23z5mBiRdqTUtxcTH33nsvnZ2dAFRUVPDggw/S1NTEDTfccCSXGBApZUiPI8FHOiazbt26mP/hk5KSeO2116aMOj3//PPnYtTpnKK2Hdxyyy3ccsstR3o5UfH5z3+eW2+9lQULFqDT6bj88svZtm0bJ598Mu+88w7FxcWUlpbypz/9iQ8++OBIL3cmEjxuT/DjjhAfaSMTD47lUacfRcbHx+no6CA9PV2rh9Hr9fy///f/kFJy5plncv/997Nw4UJKSkpmHYJ3pJBI5FEc+P1Ib5fihcfjoaamhvz8fM4555yPVFr8WCM9PZ2srCx+97vfAd4vCUXxfmDvvvtu7rjjDh5//HG+/vWv87vf/e7oHAcrj+4UdsLIxAF11GlHRwfvv/9+otcqxnz84x/npJNOYs+ePZSUlPDb3/427Gu88cYbvPHGG4A3La3GY3Q6HTqdTjM0n/zkJ/nOd77Dd77zHcxm8wz9nqOFo9nIHFfbJZfLhdPpjNkgtGixWCysX7+eF1544aifp3ws8cgjj0R1/gcffMDPfvYz+vv7qa6uZseOHfT09HD22Wdr9T2+jY0Wi4WsrCxtAN/Rhzyq62SOKyPz7rvvcvPNN9Pc3HzE1jB91Okrr7zCHXfcccTWk2Amq1ev5qmnngJgz549NDc38+qrr/LSS14Jy+mFhEd7TE1KUI7iwO9xtV1aunQpa9asYffu3QA89NBDXH/99ZrrOxd0d3dzxhlnaPORzjnnnLBnKQfC4/FQW1sbs+t9lFFjK4sXL2bjxo3ccsstjI+P8+STT/LWW28d4dWFyVEekzluPBkpJTk5OZqy2+9//3t6e3u5+OKL46tKNo2VK1eybdu2uFz73nvvpbq6mtHR0bhc/6PEdO9k+fLlXHPNNTzwwAMMDw8fmUVFTCK7NCeob5prr72Wn/zkJ2zfvp0f/ehHXHnllX6Pv/fee9m8efNcLjEqOjo6ePbZZ/n0pz99pJdy3LJs2TK+/vWvH3OeosQrvxnK40hwXBgZ1fV98803+e1vf0tnZyePPPIIeXl5frdK999/P7t379Y6ihVFmdMtVSTcdttt/OhHP5pTr2wueeGFF1i8eDELFy7kBz/4wRFbx1zrD8cECVJRQnpEgxDi20KITiFEw+FHSPKCx8U7VgjBU089xVe/+lWuu+466uvrtXGn6odSNSIvv/yypiyvFlapaUvwP8f7SKN2HNfV1R3ppcQFj8fDZz7zGZ5//nl27drFI488wq5du470so4hQovHxCgmc4+UsubwI6QenGM+JqMoCvfffz/33XcfDz74IPX19fzpT39icnJyynGqEXnggQdYt26dZmD27t3LM888g8Vi4eqrr56S/lYUBSll3CYuhsrbb7/N3/72N5577jnsdjujo6Nce+21miLbsc7777/PwoULqaysBODf/u3fePrpp49r8bCYIkE5Sut34DjwZIQQrFy5knvuuYf6+noArrzySh566KEZxw4MDLB7926tye21117jM5/5DENDQ7z44ot8/OMfp7GxEfDW3Oh0uikGZnx8nPb29jl4VlP5/ve/T0dHB62trfzlL3/hzDPPPG4MDEBnZyelpaXav0tKSrTmxATBkchwtku5QogtPo+bw7zdrUKIRiHEg0KIkOYLB5N6OCYRQnwCOB24VUrpEkLopJSKEOIi4JtSyhOEENnA3UCjlPK+w+flSymtQojzgX8HsoDfA5uklM7D1/0YcJeUcr8QQsg5/gMKIdYDX5ZSHlvRyVkQQlwJnCel/PThf18HrJVSfvbIruzYQAjxAjD76M4P6ZdSfmyWa70C+AtM3Qm8C/TjjTV/FyiSUt4Y7IbH/HYJwPfDfvj/HxZCPOLHAJwFPH/4/0vw/rHeP3ye6bCBqQZ+BVwBZANfAN4D9gMrgAZgAEBKKYU3raWXUrrj+RxVpJRvAG/E8ppCiFZgDPAA7rnWGwE6gFKff5cAXXO8hmOW2YxGBNc6O5TjhBC/BkIakXDMb5fA+2H3/f/Dnovvz9Sw+r7DD/AajXIg6fAxzsM//wTwvJTyPSnl88BW4EIhRAbeD8JuKeWwEKJWCFEmvbgBhBAXCyHOEEIci8b7jMPBvLk2MACbgSohRIUQwgT8G/C3I7COBLMghPAVeL4UCKkp77gwMtORgSuTtgEnHT5mAngRuFsIcasQQtVRvAB4yuecAmAYWAY4gabDqbsfAn8XQrwohDjL5/r/wXGuKBhrDhvpW/G+Hs3Ao1LKnUd2VQn88CMhRJMQohE4A6+XH5Rj8Rs3GjoBTadQSnmvEKIZOA/vVmov8CaQCiCEOBOoBr4C3ALsl1IeEkL8ANgmpbxDCHEaoBq1xUCqlNKjxoHm6olFiQReEkJI4AEp5a/mfAHedGh0soQJ4oqU8rpIzvtIGRkpZTvQDh/GcaSULwEv+Rz2V+BXQojbgEPA/wKjwCJg0+Fj/gxcI4S4Vkrpm+YpAD4QQmRIKY+l2v9TpJRdQoh84GUhxG4p5ZtHelEJjg8+UkbGF99Ase+/pZTvAiuFELWAXUrZLIS4FK93037YQ3leCHEI+H9CiCwp5c8PXzYZb4zn6C1a8IOUsuvwf61CiCeBtXg9ugQJoua4jMmEw2FvRouhCCF0h3++TUqpaka8B9wHHAD+WwhxL9CN1ytad/i8MqAMGDgc7zkmEEKkCSHM6v8D5xJiQC9BglD4yBuZ6fiLo0gpu6SUr0kpx4C/ABPAK4Abb60NwNl4vZ1/zNVaY0QB8JYQYjvedP6zUsoXjvCaEhxHHJfFeHOFEMKoFvsBbwFfB/4ppTymtksJEsSTj2xMJhoOGxV52MBkARcDOw4XyiVIkMCHhCcTJUKIXLxl2D1Syv4j0WqQIMHRTMLIJEiQIK4kAr8JEiSIKwkjkyBBgriSMDIJEiSIKwkjkyBBgriSMDIJEiSIKwkjkyBBgrjy/wGOukKzJZqeAQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"(fig, ax, surf) = surface_plot(u0.reshape(Nx, Ny), cmap=plt.cm.coolwarm)\n",
"\n",
"fig.colorbar(surf)\n",
"\n",
"ax.set_xlabel('X (cols)')\n",
"ax.set_ylabel('Y (rows)')\n",
"ax.set_zlabel('Z (values)')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import IPython.display as ipd\n",
"\n",
"ipd.Audio(data=out, rate=SR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Being Pythonic\n",
"\n",
"#### Template the Class\n",
"\n",
"To keep things _pythonic_, it makes sense to create a `class` from which we can create plate **objects**. There is nothing wrong with approaching this task in a functional style, but as you will hopefully see, interfacing with the FDTD scheme will become more intuitive in an Object Orientated Style.\n",
"\n",
"As such, lets start by defining what we expect our scheme should be able to do and some points of entry so that other may intreact with it. we can start by creating a rough outline of the class\n",
"\n",
"\n",
"```py\n",
"class Plate:\n",
"\n",
" def __init__(self):\n",
" \"\"\"\n",
" initialise the FDTD plate scheme including all parameters and coefficients\n",
" \"\"\"\n",
"\n",
" def set_parameters(self):\n",
" \"\"\"\n",
" set scheme parameters to a set of defaults\n",
" \"\"\"\n",
" \n",
" def __set_coefficients(self): \n",
" \"\"\"\n",
" set scheme coefficients\n",
" \n",
" Coefficients are based on parameters. Therefore, the user shouldn't need to ever call function \n",
" this explicitly, hence the trailing underscores.\n",
" \n",
" This function should probably be called at the end of set_parameters\n",
" \"\"\"\n",
"\n",
" def __init_grids(self):\n",
" \"\"\"\n",
" initialises scheme state grids\n",
" \n",
" Like __set_coefficients, this shouldn't have to be called by the user. The grid sizes are dependant on\n",
" parameters.\n",
" \"\"\"\n",
" \n",
" def set_initial_conditions(self):\n",
" \"\"\"\n",
" It would be convenient to have an easy way to reset everything back to the initial state\n",
" That should happen here\n",
" \"\"\"\n",
" \n",
" def update(self):\n",
" \"\"\"\n",
" This is where we update the scheme by a single time step\n",
" \"\"\"\n",
"\n",
" def get_output(self):\n",
" \"\"\"\n",
" this is where we can get an output amplitude from the grid \n",
" \"\"\" \n",
" \n",
"```\n",
"\n",
"Taking this outline, we can just start filling in the blanks. We've already defined the behaviour of each of these functions above. All that is left to do is mould it into a class.\n",
"\n",
"Writing a class will require having to type `self` everywhere, which can seem a little tedious, especially if you are not used to approaching problems in an object-orientate manner. That small hurdle aside, the benefits should hopefully be apparent.\n",
"\n",
"We can also employ some `@classmethod`s which are just hand functions the class can do on its own, without creating an object."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"class Plate:\n",
" \"\"\"\n",
" A Thin Plate FDTD scheme wrapped in a python class\n",
" \"\"\"\n",
"\n",
" def __init__(self):\n",
" \"\"\"\n",
" initialise the FDTD plate scheme including all parameters and coefficients\n",
" \"\"\"\n",
" self.Tf = 1 # duration (seconds)\n",
" self.nu = .5 # Poisson Ratios (< .5)\n",
" self.ctr = [.45, .45] # centre point of excitation as percentage\n",
" self.wid = .25 # width (m)\n",
" self.u_0 = 0 # initial displacement\n",
" self.v_0 = 1 # initial velocity\n",
" self.rp = [.45, .65, .85, .15] # readout position as percentage on grid.\n",
" self.set_parameters()\n",
"\n",
" def set_parameters(self):\n",
" \"\"\"\n",
" set scheme parameters to a set of defaults\n",
"\n",
" TODO: This could be extended to accept a series of arguments or an single parameter object\n",
" \"\"\"\n",
" self.E = 2e11 # Young's modulus\n",
" self.rho = 7850 # density (kg/m^3)\n",
" self.H = .03 # thickness (m)\n",
" self.Lx = 1 # x-axis plate length (m)\n",
" self.Ly = 1 # y-axis plate length (m)\n",
" self.loss = [100, 8, 1000, 1] # loss [freq.(Hz), T60;...]\n",
" self.SR = 44.1e3 # sample rate (Hz)\n",
" self.__set_coefficients()\n",
" self.__init_grids()\n",
"\n",
" def __set_coefficients(self):\n",
" \"\"\"\n",
" set coefficients, called by set_parameters\n",
"\n",
" :see: set_parameters\n",
" \"\"\"\n",
" D = (self.E * (self.H ** 3)) / (12 * (1 - (self.nu * self.nu)))\n",
" kappa = np.sqrt(D / (self.rho * self.H))\n",
"\n",
" z1 = 2 * kappa * (2 * pi * self.loss[0]) / (2 * pow(kappa, 2))\n",
" z2 = 2 * kappa * (2 * pi * self.loss[2]) / (2 * pow(kappa, 2))\n",
" sigma0 = 6 * log(10) * (-z2 / self.loss[1] + z1 / self.loss[3]) / (z1 - z2)\n",
" sigma1 = 6 * log(10) * (1 / self.loss[1] - 1 / self.loss[3]) / (z1 - z2)\n",
"\n",
" self.k = 1 / self.SR # time step\n",
"\n",
" hmin = sqrt(4 * self.k * (sigma1 + sqrt(sigma1 * sigma1 + kappa * kappa))) # stability condition\n",
" self.Nx = int(floor(self.Lx / hmin)) # number of segments x-axis\n",
" self.Ny = int(floor(self.Ly / hmin)) # number of segments y-axis\n",
" self.h = sqrt(self.Lx * self.Ly / (self.Nx * self.Ny)) # adjusted grid spacing x/y\n",
"\n",
" self.Nx += 1\n",
" self.Ny += 1\n",
"\n",
" mu = (kappa * self.k) / (self.h * self.h) # scheme parameter\n",
"\n",
" self.ss = int(self.Nx * self.Ny) # total grid size.\n",
" self.li = (self.Ny * (((self.ctr[1] * self.Nx) - 1))) + (self.ctr[0] * self.Ny) - 1\n",
" self.lo = (self.Ny * (((self.rp[1] * self.Nx) - 1))) + (self.rp[0] * self.Ny) - 1\n",
" self.lo = int(self.lo)\n",
" self.li = int(self.li)\n",
" \n",
" BH = self.biharm(self.Nx, self.Ny) # Biharmonic matrix\n",
" LA = self.laplace(self.Nx, self.Ny) # Laplacian matrix\n",
"\n",
" self.A = (1 / (1 + (self.k * sigma0)) * sparse.eye(self.ss)) # inverted\n",
" self.B = (-(mu * mu) * BH + (2 * sigma1 * self.k / (self.h * self.h)) * LA + (2 * sparse.eye(self.ss))) * self.A\n",
" self.C = (-(2 * sigma1 * self.k / (self.h * self.h)) * LA - ((1 - (sigma0 * self.k)) * sparse.eye(self.ss))) * self.A\n",
"\n",
" self.B = self.zero_matrix_overflow(self.Nx, self.Ny, self.B)\n",
" self.C = self.zero_matrix_overflow(self.Nx, self.Ny, self.C)\n",
"\n",
" def __init_grids(self):\n",
" \"\"\"\n",
" initialises scheme state grids, called by set_parameters\n",
" \"\"\"\n",
" self.u0 = np.zeros(self.ss)\n",
" self.u1 = np.zeros(self.ss)\n",
" self.u2 = np.zeros(self.ss)\n",
"\n",
" def set_initial_conditions(self):\n",
" \"\"\"\n",
" set the initial conditions for the scheme. This zeros all state grids and applies\n",
" the initial forces in each state\n",
" \"\"\"\n",
" self.u0.fill(0.0)\n",
" self.u1.fill(0.0)\n",
" self.u2.fill(0.0)\n",
"\n",
" for xi in range(1, self.Nx - 1):\n",
" X = xi * self.h\n",
" for yi in range(1, self.Ny - 1):\n",
" cp = yi + (xi * self.Ny)\n",
" Y = yi * self.h\n",
" dist = sqrt((X - (self.ctr[0] * self.Lx)) ** 2 + (Y - (self.ctr[1] * self.Ly)) ** 2)\n",
" ind = np.sign((self.wid * 0.5) - dist)\n",
" rc = 0.5 * ind * (1 + np.cos(2 * pi * dist / self.wid))\n",
" self.u2[cp] = self.u_0 * rc\n",
" self.u1[cp] = self.v_0 * self.k * rc\n",
"\n",
" def update(self):\n",
" \"\"\"\n",
" update the scheme by a single time step\n",
" \"\"\"\n",
" self.u0 = self.B * self.u1 + self.C * self.u2\n",
" self.u2, self.u1, self.u0 = self.u1, self.u0, self.u2\n",
" \n",
" def get_output(self):\n",
" return self.u0[self.lo]\n",
" \n",
" # ----------------------------------------------------------------------\n",
" # Class Methods\n",
" \n",
" \n",
" @classmethod\n",
" def zero_matrix_overflow(cls, l, m, coef_matrix):\n",
" \"\"\"\n",
" Set overflow values of sparse coeffcient matrix to zero\n",
" \"\"\"\n",
" ss = l * m\n",
" coef_matrix = coef_matrix.tolil()\n",
" coef_matrix[:, 0:(l + 1)] = 0\n",
" coef_matrix[:, ss - l:ss] = 0\n",
" coef_matrix[0:(l + 1), :] = 0\n",
" coef_matrix[ss - l:ss, :] = 0\n",
"\n",
" coef_matrix[(2 * l):ss:l, :] = 0\n",
" coef_matrix[((2 * l) - 1):ss:l, :] = 0\n",
" coef_matrix[:, (2 * l):ss:l] = 0\n",
" coef_matrix[:, ((2 * l) - 1):ss:l] = 0\n",
"\n",
" return coef_matrix.tocsc()\n",
"\n",
" @classmethod\n",
" def biharm(cls, l, m, bctype='pivot'):\n",
" \"\"\"\n",
" Generate Biharmonic Matrix Stencil in 2D\n",
"\n",
" :param l: number of total grid points Y axis\n",
" :param m: number of total grid points X axis\n",
" :param bctype: boundary condition type: 1: pivot, 2: clamped\n",
" :returns Returns a square Sparse matrix of size l*m\n",
" \"\"\"\n",
"\n",
" if (bctype == 'pivot'):\n",
" bc = 1\n",
" elif (bctype == 'clamped'):\n",
" bc = 2\n",
" else:\n",
" raise (Exception('Boundary Condition not recognised'))\n",
"\n",
" XX = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(m, m)).tocsc()\n",
"\n",
" XX[0, 1] = (bc - 1) * 2\n",
" XX[m - 1, m - 2] = (bc - 1) * 2\n",
"\n",
" YY = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(l, l)).tocsc()\n",
" YY[0, 1] = (bc - 1) * 2\n",
" YY[l - 1, l - 2] = (bc - 1) * 2\n",
"\n",
" LA = sparse.kron(XX, sparse.eye(l, l)) + sparse.kron(sparse.eye(m, m), YY)\n",
" BH = (LA * LA).tocsc()\n",
"\n",
" return cls.zero_matrix_overflow(l, m, BH)\n",
"\n",
" @classmethod\n",
" def laplace(cls, l, m, bctype='pivot'):\n",
" \"\"\"\n",
" Generate 2D Laplacian Matrix Stencil\n",
"\n",
" :param l: number of total grid points Y axis\n",
" :param m: number of total grid points X axis\n",
" :param bctype: boundary condition type: 1: pivot, 2: clamped\n",
"\n",
" :return:\n",
" \"\"\"\n",
" if (bctype == 'pivot'):\n",
" bc = 1\n",
" elif (bctype == 'clamped'):\n",
" bc = 2\n",
" else:\n",
" raise (Exception('Boundary Condition not recognised'))\n",
" ss = l * m\n",
"\n",
" XX = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(m, m)).tocsc()\n",
" XX[0, 1] = (bc - 1) * 2\n",
" XX[m - 1, m - 2] = (bc - 1) * 2\n",
"\n",
" YY = sparse.diags([1, -2, 1], [-1, 0, 1], shape=(l, l)).tocsc()\n",
" YY[0, 1] = (bc - 1) * 2\n",
" YY[l - 1, l - 2] = (bc - 1) * 2\n",
"\n",
" LA = sparse.kron(XX, sparse.eye(l, l)) + sparse.kron(sparse.eye(m, m), YY)\n",
"\n",
" return cls.zero_matrix_overflow(l, m, LA)\n",
"\n",
"\n",
" @classmethod\n",
" def surface_plot(matrix, **kwargs):\n",
" \"\"\"\n",
" Simplified MatplotLib Surface Plot of a 2D Matrix\n",
"\n",
" :param matrix: 2D matrix\n",
" \"\"\"\n",
" (x, y) = np.meshgrid(np.arange(matrix.shape[0]), np.arange(matrix.shape[1]))\n",
" fig = plt.figure()\n",
" ax = fig.add_subplot(111, projection='3d')\n",
" surf = ax.plot_surface(x, y, matrix, **kwargs)\n",
" return fig, ax, surf\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Using our class\n",
"\n",
"With our class defined, now we can create a plate object, set the conditions and get an output in just a couple of lines.\n",
"\n",
"With a little expansion to the class, it is hopefully clear that this paves the way for creating multiple plate objects with different parameters. We could also start thikning of ways to connect FDTD systems together.\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"my_plate = Plate()\n",
"my_plate.set_initial_conditions()\n",
"\n",
"Tf = 1.0\n",
"Nf = int(my_plate.SR * Tf)\n",
"\n",
"out = np.zeros(Nf)\n",
"\n",
"for n in range(Nf):\n",
" my_plate.update()\n",
" out[n] = my_plate.get_output()\n",
" \n",
"ipd.Audio(data=out, rate=SR)"
]
}
],
"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": "3.9.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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