Commit 2e59de41 authored by Leon Merten Lohse's avatar Leon Merten Lohse
Browse files

_DEUTLICH_ mehr Schwuppdizität!!

Interface zwischen Python und C++ verbessert, so dass weniger kopiert und
transponiert wird. Scheint ne Menge zu bringen :-)
parent e2f3056d
%% Cell type:code id: tags:
``` python
import sys
import numpy as np
import xraylib as xrl
sys.path.append('./build/')
```
%% Cell type:code id: tags:
``` python
%matplotlib widget
%matplotlib inline
```
%% Cell type:code id: tags:
``` python
import matplotlib.pyplot as plt
import fresnel.solver as solver
```
%% Cell type:code id: tags:
``` python
#xrl.GetCompoundDataNISTByName("Kapton Polyimide Film")
```
%% Cell type:code id: tags:
``` python
# simulation box
energy = 12. # keV
wavelength = 1.2398 / (energy * 1e3) * 1e-3 # mm
nx = 1010
nz = 530
wg_radius = 25e-6
xtot = 10 * wg_radius # mm
ztot = 0.4 # mm
# units
dx = xtot / nx / wavelength
dz = ztot / nz / wavelength
print(f"dx: {dx}, dz: {dz} wavelengths")
```
%%%% Output: stream
dx: 2.395787247703638, dz: 7304.89092884732 wavelengths
%% Cell type:code id: tags:
``` python
# materials and geometry
density_Ge = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Ge'))
density_Polyimide = 1.42
density_Si = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Si'))
n_Ge = xrl.Refractive_Index('Ge', energy, density_Ge).conjugate()
n_Si = xrl.Refractive_Index('Si', energy, density_Si).conjugate()
n_PI = xrl.Refractive_Index('Kapton Polyimide Film', energy, density_Polyimide).conjugate()
xx = np.linspace(-xtot/2, xtot/2, nx)
core = (np.abs(xx) < wg_radius)
cladding = ~core
refractive_index = n_Ge * cladding + 1 * core
```
%% Cell type:code id: tags:
``` python
boundary = (0, 0,)
u0 = np.exp(-xx**2 / (2 * (2 * wg_radius)**2)).astype(np.complex128)
```
%% Cell type:code id: tags:
``` python
propagator = solver.Propagator2d(refractive_index, u0, dz, dx)
```
%% Cell type:code id: tags:
``` python
field = np.zeros((nz, nx), dtype=np.complex128)
field[0,...] = u0
for iz in range(1, nz):
boundary = (0,0)
field[iz, ...] = propagator.step(refractive_index, boundary)
```
%% Cell type:code id: tags:
``` python
result = field.transpose()
fig, ax = plt.subplots()
im = ax.imshow(np.abs(result[:,:])**2, aspect='auto', clim=(0,3), cmap='jet', extent=[0, ztot, -xtot/2 *1e6, xtot/2 * 1e6])
ax.set_ylim(-2e6 * wg_radius, 2e6 * wg_radius )
fig.colorbar(im)
ax.set_xlabel(r'$z$ (mm)')
ax.set_ylabel(r'$x$ (nm)')
```
%%%% Output: display_data
%%%% Output: execute_result
Text(0, 0.5, '$x$ (nm)')
%%%% Output: display_data
![](data:image/png;base64,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)
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fTrPAF8/0+Lii0/jthn+d0majIOdqsfCD+7/l3CSBiNfBF//0pkc1p7V53UM2a5SXH/ALdDlTjJle1H8v6dcfMMeYj0gw6xcrtSCAnVehRhZ6AtoEuJUHpEYsF233zOTeq0P7lO31fQWoCVAOUDqDWt4zutOShRxY5S/nX7WXbtE/DTklQuRFFDphToJ06t5Yx50YqqfoNZc+5IGEBfdcJ2x1tlFluyAociAugf/4Furp5jsVB7DAeyI/pnvulL6AGat2ZFkRglwvLAo4F8iMcmKsbksK1t+9/ExPAlYAkYJOaBJ17//q4NXuulZ8v0gXw3FDUBiN51/6lPtq/rb+VcqTeKD8C5LtKUPq8pgKdbn/9soCYO39ybnMSkZWfcnXvCxayDWwCXy5Q2H3le5sNlbJcMEoBow5Eci1Ke8h7btSSes8x/1ymU2qeKhcwUqMY64fEds9gIzO/QStwIPySfx0CZ/fY7GQ5TduzTplETfUzwaQTYDkH7uMYtE01zLHnI7/P3ElCFfG9As6Ak4II6MLgNDBpUNEXsQ0YPlh0AoXurAIuC/W9BnXLZrV/KSPFzPfV33ZUIeXqMvTIQk9c6zaVgGAvVR0otFkGq4N1ivlrvV9bLksJ5d+2vR5t6WtB2sZmEqVGGxb8dHukMonEn57H6bOhowrZVtd/iG99DDZQpNizfK8ZdIpJ94H4NtavfV9TNst4O/8N2jGRmb8EfEbkDAFcSE/WyEVXdMHcXm/gALcCHgNLyyJTzHOf7uTqkQPwY9y7vCAC+2MBdGHjc38M0L3YLZAfEYB8pvzJMZwBtYwIFn5bzfhzoGjB/B7dDi/HqTuU+BWZwco42r9l/PJe4aJ0yyaTlUAh/q3p9tHyjQQ6C1qpoCO+9Xd6RKEDUS5QaJlFg23fBO62EYVm3rp9tV2Y7bTpa36uPqfAPFX/lL9UWuguowo7ukiVIab92DRfva0OdH2+n8FGZn7DdoyTRERu+YxID3Z4q4d1ckEcuI+H6qVbxoJ5DXy+8P7fYhPcZCd5CaMtYtBJgTne94n4/qLxk5JYNKDMY7DQx7D0/sOoQtolF4xSzFkxchlVzIg4vcQECy0tiH/dsVJgZSQocG3GnE3Wr4HGmgYRG4zkswQKOV4d+bR0BBHIKvWe86/bTvsSG5LKmgrWGtD1MefmE0RysSzXgvc2iSjFknNmGbP1m2LQMqqoiOQl10YpNm7rnWP/23zvaM8hcj6HVXoGk2wWzcyPgRNhn5Dv+P6CEBAXIJypny2YL/HAmOsImWGy+Ndl6HIgAuPSTjZq9pwaJivNX4O51PcMpRxIoBD/wqR13VWgC8FoHrOGLJifodi/DhYi5di66/Y5iv4x7RICxb7fRoN5ajIxJz8JkOtgIWv56GAB3VROLbXoEVdfoNCjCivhaMZo9Wb5LPW0QK5viBOzAVObZaKptkkFChvYcqxcgD7FnFMjihR71mArZVr/1rf2t21UoYfW1zQJOjLzGzbNFgMYi8zSF+n9S/aXPqE/61Y6U+UsUx0oVwabQKiDhoBW8F2w2blyB+5fmu1rQBT/cky1vfAh3SEtCzJ1l77WYeeYfXIylG7chH/dLuDavbO9vHK6s2W50vGJ5Yj/Tp1t3VOAa9tH+9ftWKi/L9Q2eoSSmpzTPqU+GsjtudNSmW3X1OStPVYNkCnCoyeb9blM3ZSU8muPJWX6Qspd7zl/OdZv/bNlm4E2PmnoBk2Y+YzIzF8CPn8Pd8Gd4pioNjPM1CAl7FaDOjg2LpOgh8CJMDrLDLTvio5Wrl8yGtDX7xLFpF8A3qB7AaPK0sy56Nb92PjUwNuRiIQ99Uk4SovXoxfrH9x8Qn1EZP52VKHrrxnt3H2tZS6p89Lvdib1FkYu9bY3+GiGLIzWt1FqPkHanCPvS95TMoll5TKqkHRQU/cQKHTaq/Zr654qQ9roCLPeM13QhC7zr813qRGF9m9BUUsgqQAisoX+rY/1SzCVxpHzl0rrTWWGQfe8aoaeG1XYYHMNNjLztBVFcQj8MPDvAD8J/Gnge4BfAr4a+Itt2w4bHx228FIR882ZA4/8j6lhnLrQBKgErB4QwUXkBHl/7L+3PjpmOo4G2gd0QVFLkyJXzIAz2xmsVGGCkfUv7FMYv2b/HYnIdlaRWHTHZFOKSgWLJV7z1/7tPEVKolD1t8y8A7wCjALo8m7ZoQ1G6hxr/1L3ChUsBMS0jKOBNiV9JEZ3nRGL7Cdf6iBhJxBTYKiAXPfaWu9n8/x1e4hpMLTyUOoaTgGrLiPFzFP113KI3T9n9nd9XlNSjvUl51Ffe9dg48MpsvbHgG/DCYy/CnwXsGzb9ieKovgY8K3A3+j14CPl/vEpF/ULRjcXVvaW2Ulf0HSH9xqwNJhXOKDVYFZbyQDz9wEd1mzZ8yGReQojF+Z/poe+mj3runtA0ZO3VvcXwBL/h3hQTOmksAmGxeaoxYI5ROAKowph5xp47TH5z7r+Vn46U+UsYRMk7KgiwTo169d1n9GdU1ja/W16Ygqk1KgiBeZS93pOBHIN5rJxLtB5ILcjxU6baPafynDRbWOvn75AIRPQYrqtdR6+7NwH5qlRhZVmxHSb2O0t29dgLmW0an87gX1FG5l51v5J27bu1pyi+EXgPwD+J//bp4FvYRuYA9QwP1y4PIqXXnDs9EO4I3yshsBAvAg80FsgTzF0rd1qoD/RgLhv/KuObsFQM2gLtuIfSGulukzf0XSdrYQjYHtMDBSPoSu16OwTAyYV3SChUzhlxOLPQWwXLQNpwE119kS7CyBqCSdIUNaHvakkASI2WGi2L8cRAqtcG3KnL2oHK38cua9TrN/GgTOIEk5KvrFgKKy52AwWYmFUoetmC9Z1t6xcBQq5TsU68yBz9aW1PjA3fW8j0BXd3zsb6mBhR1z2jmEbKAq1vRx7boSxo41gnjYF5Ic4Zv41wOf8z68BD1P7FUXxCeATANz/EgAm0zWT6ZovvKTYeQU8Tg3B1AVnJw01kD9Ysj9bc7GcuB8FDAN7TACTvdgs0GqGrpm5SCzaf5BDBFwSHSYXiCyYL802HRknxT59R7R+U8y8Vv5n1o8eGuvv52wdVcxQrJkY8DpSi2W5BgzteU3JLAIunRHRAf1gbkYt28C8xk9spwBXyrBzCfvdUUUOzJF2Ed85Lb6iK60oxj8z/gRDOyOilOXA3Mwj2LpvTJprW5gNNZhrIE8ECtmlM7K4ppREsXECtNe+Hfg+4K8CLwP/0r8/SW3ctu0ngU8CFB95taWGOQtKGp48eIfLB3fgFeJFtNQXonR4P3mlO2GHRV9w76UnlGXDejXhaX0fDve7HasjG2ggUZ9zQJsC8xPl+1Dqrf3WdMHkaFPv14CrO4yVjjqgJRNaGP+m7pY9o+ovkkgIRDIR+oLaQPs3rDYns8i7gMoG4KbAXLFa69/m93fSNjEM2oK5Cd5WvtkG5jVGbtGWYrZsBoscmIdgcZTwS8L3fvd6z4G5WCcQacuB+X6sv5141v47UpG2fTYltIT/VKCAeN0ng8UVbGTmeSuK4k8AP9a27TtFUfwM8DHgHwAfB35quwOghpKGKSvmhwvODu8Yhqt30BcFm3K3vzD2Zmsm5Yopa8ppzensiMvZfhf0Ow6slOMBvur67Y4EvESQSiusUH61f61zF5v76E6ptWFbh46vLXXXx5DKCEltt9RD3ZTMtb9ZJ12G+K7plllpPynf8p0BE3seBEhS7depe2X8S/0TrNZq5mHC2Xwf6mhvgNLnu9j0WRk/G20OEW0sGOp2Ude+bRvMLjJnhPi20pZtm0Tfstej9r/RLqkNxb/pa7nrXa6ZwPwh73dHGx9OkbaiKP4k8APASVEUFfC/AIdFUXwzcAf4S4Mc1VBSc8Qpx3dOOHvpA/BRIiM9sZMrPp1MWIkFq0M4Oj7liFPmnLPggPPjOU9tkAC6wz7YGMammO0hcHjB/uE5F1UD9SzD8PTdoJqRCPuM9c3KLAJa1n8FMY1Q32Alvuc9dacbAGtTRmibI9yQOTXBt5+uex8zDxKR1F0/ixXiPIL3r0c5tu4WSJbKd5AV9KhC6q/WvdfnyvquzWed3YKwc+jefr9PXHCMzfpvY+ZS/+AvoKS3jLwyhJmD0uZFQsnNVyj/duQrptsH3y61BItUBfQomDy5kF21/+Db3mH8jDbKLJvWtu2PAD+S+fnvDXZUQ0XDAecccQofal2qmcgWnaguQ/x7m+AZLsAlB9NFAPOSmtPpEU/1tvLauBNUaYb6gjav/cNz5ocLVlXNsi67Eo4GhjqlyRsJJweKKTDX254IYOkJSgUmff41mGsJpDMiEv813WDnQTIXKFJgbucTzrSkYOuvWHmq/rruUg99DEtUZouuiAnSfRJOyr9sH6ScihhEtVTX4z8FtgLkIWBYUJTKKKBNtbkNPto6wUjPf9jF5fxkpAXyFOBa64CuvmHL+Jb621GXbg89XxR8J8rc1a5RZkmkZv+ptm0v/W9/BPgq3BH+Qtu2P9fn6z0H82szf5KmrDjmhMOXHnNWfwA+j2OpnYtC3Z6uc5sVO9+frQOQz/1kzJxzJ4uI1NIBc52ffBRfPax8frjgYLqgrBqauuLC6vHSGU6OlH9hcT3MWXciOfQU0AbmryerKsITi3IBIgVah6QDxlL7FxanWLOtbw7MNWsOviGuB6NHFfPeINoBcx0sNKAHHVfy7c2NNzkw1HWXttf+Owxd2mbfbFx0z7+9HixgadP+Ayi2aoMEI7eAq33lEKID6Kre8qc9p9uYuf5+405iY5ZMDWHmHfafOaahdr2auU3NfhX450VR7OFUiq/12/18URRf17Ztm3ZzW8BcZSWVNBxxysM7bzL56Jq3PvP7FDOHyE48K5f0QOkk/jWdOa18zoKDAOYLJ4sImAd2KwFCmIRaWCvF5Gcte7M1B9MFU9ZQwnQ24UJv0wG1QvkXhusZaQoEw/sF1BVURXcZgg32LJN9CWaYA3ELWnbyU2+71Glt4j9Tb9vxpfPZYCF/n7gz051PSLVFwj9s5sjr4wuZMz2s0LaJvo5soNBsMfydSM2zgahPZtH11+VAnNjVHSTlOyWzbAsUuuyc/yHM3LJp8RGCqbKEFJpk5laasz5OuLpdn8xiU7N/x3//MaBRLH0f+Ajw6zlHtwPMAWqoKZmwoqLhAY+ZlwveeiBgrvXaF4BHDshTzLyCsmqYs2DCmilrGiomrJjOVl3Qlf1qDYhGjzedcu9wwfzQAfmEFQDr2RoOlzCbdX0fWv8QdOFesL1gb7bmsm6gLuNoIrXPUi+769lQNkCYcnzbZ4Gzw3BbQsdPAVVuVCFl2IC0VN9rQOwLEJbdpmQWLbcg5Rgg72v7HDPX5esAVZvtU+fJXnPiU9dfvpPPoe7Gd+46kN/FLNhqy4HwENavATcFtiS2s/VP9cGUzGJ9XoftxswfFEXxKfX3J30mHrCZmt22rYD5fWKKNsQ07VsO5r6frf09tgec85A3WTPhXwlQd2bZ/ZrcslyuBnMIYO6AfMWENQ0lFQ2T2TrdIU70cD+Rn60uvMlsRVk1lDRUNMCKspy7fPbD2abvY9Q65zVhmG9TDRUQ7s3WTGYrmrqiqcuYhZNi/0u8/qweajEEsCyYp0BCA26tgNze3JRicuK7Tvhe0gUq3XFzgcIyOcz+OkhYEEz5z5WxjZlboLGgk2Plfcxcl2PbIwfmOVDE+LCfxZcFW6l7Xxl9mrkFbjs6kPpb9q+/1770fJGu81Vtt2yWx23bvjpgu2/HpWaH/XCp2WLZNG2x2wHmxqasfM55TdC4O5r5QbqDqJNdlo17p3F+/Gcw23bYjBnqp1hDBVXVeDCPV2pJTVnVXKR8B/ZfbPrOlFFWvv6VK+My51deGrys34T/TmfO/WZ9aP/VAN9iud+1j6XyrcvM+df1SdVlZrbR/m379dW/r87Wd67dhraNtEPnmkwcZ+oaSJ1XOd5aveeugW3HqsvQpttCl6HPaeo4c9eQ3l5kllzbXcHaa8xmManZH8cJQb8GVEVRFMSxwKf7/NweMK9hwRyX0eJ07jVTZsenLGf3iBN9BwSJ5SUiM4dOByypmbAK7LmUV9l0LyLNnk+URDFjk33OgFnrWH+5Cn5dkQ1V1Wz61f5FA52xyezR0ZUAACAASURBVGo7LOWCsqqdP28XsxZmiRtohIn6NgRVnrxnmVwb2XaK8W8wc9VuqbaxzFk6ZI6Za21YwEu3fYrV6pdmfuJT+7aMVj7nRiyWGGzTnK1v/XeKmafYrfWtJZYc2KZ8ptodNpm/radtJw22uZGcPq8VaalF35mrfacCUYKMJdv5msC8LaC5JuRMpGb/deAPtm37rUVRfBdu4cE94Dv7Jj/htoC5yCyrCUxhistEWTBnfnjOMnQWuZvyBbdui4C5/G5m7zXYijm2T7xYNciK9YK5k1gq5VcChZNwDOiKf/ErdbR3enYubBcYJrM1Te0pxGxFUo8/Vj4tmOcCRug8fseq2GSsNlBY1tjn2wJWKlD0SRV9QJgCXCuxaP8CLBbYc3513fUxWKkFtY2VWfrqngMkGzjEn/Uv9csFoRSjT/nXbZcD89TLgm1OvqlI+86NKnSgILHv0vx+FbtGMO9LzW7b9meBnx3q63aAOUAFi7M59bRkwppjTpiw5qg85S056fL0nkMckH+I7kJaalGnyoA4EHTzJCsn7hsuMmH9qrPsVY7d2yABXtqpapgZvf1Y+RWA0ezZdPo9L+NAlFv2qsZJLRYUrW/5nAxEqM5zAcL8Z5WbRE35TgGi9n9MusOnwFb73xXMtZ6tQUUyWOqMb/2owBSz3RaIxGzQkLraQCHtkytjG7vMsWf52wKhDUI5MNeWAlsxG9St7xyYW7AeCubWr/WvWX5qFPAM1hZQl3sDt768eoED7XaAuWfmF8sJDVXINQeXThgu2KXPMhEgl8W4oMt+lTll23HnYJVnzxqw9DBSLq4EIE5mq+BR/IuV1C4DpVLZJClAFMB6QIKdOxmn9EEDoKlLSg3m4jc1yaeZcwrQFZjsVU28VO0Ea47d2jokZSK6V6awes2edUfP6f0pdmsBUc6ZBdsUq5O/+3xbwLL+NZCLPJQC4BTYDgFzbdJuQ5mzBdJUOXYbSAOuBVsLuBrMU22s/afKttdKDsx1HXdpux5ri4KmGupoffUCB9rtAHOxs1kAxyNOWTNhwjp2ipNHwH4Ec2HmWjNWLVIHAaTqArqwZ1lZ0YK5XGSJbBmtY6esrBouc6xfDxUFcLX/ma9bziwQ6UAxYxjYznDBTDN+gMos2qQBV4OKdKhtzFZfmbp+KbBN6dsWDDckoox/qznbfOeU/xxzTgGe9pMCtSHsWfvW15w2HQD7wDYF5HZEZPetlH9rKbDNtXmOnVvZz/q2ZWwDc0smrmgtBetyMnDrEcx3N3/CGkpKXI74CceOmQvwfW4/rnP+IeBDrXugxZm/C0/JLDUla6Zq6tMBuiurIUghArbhBhPy7NazZpFwajanxMuqjnnsFmwtM7eAO3N1KxOA7jJlWoK+rQEx97f23+mUdZBygiZfKa1f6i5toVcl1B0xWX/SHd+Cuf7edlRd15RvPfrS5aTAIwXmNihaFirb2QBD4rvcjTHbAFfXz7J7KUcDW67+faCYYs4acFPHpI8t51vXMSWHqH6YrHvuhdnW+k/JQs9gLUWy777XdnvAHKCOADlhHWB4o/P51/7xKfPDBad16aSNxEVRU/rwYE6e9rc0+2mw0p09YU3uFGj/2q/93XT0vT7mX9VQ7W92ZMuEtrG2PtMgpUEmx26H+LXHXSv/qW37mGGKwVVm3xTg56QKC1hk3lN+U8CSAvMccFmmqf3r9rfb9IFt7jzY82rPZ6r+Kb9959leNykmPRTMb9iy/fY9tOevRlexJZwzp/F3goLPDRd9WXTyV9zr0f03nAxzDE+XE7dGtmqRtb9tqKFixSSw8z0thcgEKsTJMthknjOQTBaIWrl9r6qGkNFyaHyl2K1mtlUb/GuL7NmPKLQ/K4tYIOmRWDZMd0I92aglF90+ltlugKK/Y1SPTrTZm3vEUmC+LXhY37odhvjX31mzgcECozULsn0jFitV6P1TTHQXdqv3gW7Q1+2SYuZDfNv6pxi0PS7rH9L+ra9rYuXgmPkGuXsO7HaAuaTU17BiQi1ZJ7gbiIK2vMQB+kfh8JUv8JA3qGhopiWLw7lbcwWgaj2Au/s/gSC5gNK15QENdrgJsQOGfOflBmte09XdQrSXNELZ1074ocoNYNv6YOE2CgBuTeQQMWG523Tb8P0ATV63Qa7ufWVIPXN+tf8hgJWTWGRbW0YKyHMMfiggSh10/nQqUGzz32dSxjbw6gPDFHDDpt+c/z6fQwAXtgNvzq+tu3zWPq9JZhnB/KatFmbuDkv0c46Jj5D7qHt98M7rPOJNAJ+PvuDp4Qudk91Qcu5vcV8xCey8rGouDpdQTSODrrr1EBa7d+gW6ZrMVurnsvPeUFFS0zQu62Svarg8vIBqf/OmjQ122zqArRr2Z3GyRYN57T+7EcUK6lkXrPp028qXAaGcVBkh51wCRY4VDWFvVeLeCAvMOSDPHQPms5hm/duYp/Zty9Df5+qzjXnm/Nvvc76HgqEtI+Xb1ndIvfv857axQWOI/21tkgP1a2TmK4ZOgL57dnvA3LOeBXPWnp2vmEQwfwX3/hUw++hbvMzvcp8nNJSccsTJ9Jinh8dwNoPKAeuqnFB6MBfJBaAS4JytKauapq7CHZdl1bBaTkLWir5xp6nLkC5Yy72lTUlTl0ym8VAms5WbA5+tuazLrA5eJiY7q6oJ4K3B1tXR+bk89Ogtv9fqMrDMW4JLTz26+1ZewjHsf2Nb/bn3xrZu8NL+hnb41Pc2uOR+H1KvnOmRTootYr4fUl4qsOR85+qzq/X5zgW6bWbbf4jvof5T5/aagByEmT9/0Pn81ehZTHCjdmDe+EyUNVNKamYvvcXylXuOgX4VfNndz/Iyr/OAx6yYcsoRR5xyeHzKmQLC89IBudzQv2JC05RMZuuQyz0vHfMuacKKjYvpnAmrOEIo3b7rKiJ2Q8V6NaGpywC+YtPZOq7fEm4ySl+NoQwfFATA67oMQaZRYB18etCWoCOZKWWCecfgUHW+v7RSTtV0mPte1b1xaaPuKT86wOiAIPq5Bf4+2Uf8QPS1jcnrv4dYLrBY4NwWXHJ+U75TPvqAOhUEhpSTYrhDLdUefXUaIiM9q2/5Tr9f0UaZ5SbNH8np00MWd+eccsSKCRUND+4+4XNf8SIAL/3+3+T38+u8zOscc8KCOSccu/Vc7pyzOJtz6UFxNXXgq1k0uDs156VbHveIU0pq5ClHJTXnzClpgia+YO4YfimBwflaLSesl5Htg2PyZdn4ZQlWnZUbtcnFJFs0ZcnCjyIEyDW4gwPVqZd7Jur5puAniqdd/83U3d60bqbeV8PK1zcAsPK/F45htRGMXBlez/cnSwezsLpjSusXAPd3ne5lApI2HYAulhNXz7qiM6GalH66klJqNNI5dgk6VoJIAWxSR06MSnTgGSptJH1ntk3JMbZNrO/cuz3GlFyS850bFQ0Z8dggNGSEcE1oN2rm75I1deWZude3/cJbswdvA/CAJxxz4p8i5PVsVp7Hu2wT6axOapkGEHf+SyblKj48mkVg5UecAiBruqyUNCOBJTBpD2CXiv1qUHILfa39mur+odLqrtEwGeu/WzOlLJuOpJOTRjSQy2hC/JQ0wf+KKSWlC0JlxZqJZ/qbQB7q7deFKauGydS3qfKt619OazdaWU5CnamapF8NrhKUJFhAXOVSzlvpfayW0FSlu7Gp7rncBchNOTZg6CDR1CWXS9k5wfxTQK7LAZKZQXZ0YvPoc4C7bX4g+Fc+Unp1yrf1OVRrz5Wf89/n27atnUPq853y94zWAmOe+U1bBRcnR6zuO+lkwQElDS/zu0zvOuD6KL/OR/kML/N6yEV/0YP7EaeczI4DW6zPDjoatIBU5W9KOuKU+zwJgH7MiXtWKEdObvHPKXKjhCj7RKZbwnIKSgqZEBm51OmI0wC6oEYKlJ7115x7EJbRwGVdgjDdAE51WLFRHocnD+CQVE5A+T4IE8ANDU1l5JCE1l5WNZPZOoxcpG1k9CKdIIw3yjWLO3PO3zmgkUBqJRZve1XDZLZiOlt3AoVephh84CndvIkEl9Vy6h7tsZwS2Hnn2nEAu+cltOlsFUZJVuLSEtmqahzzz/pV77NuGXqeBbqyVmdEwX6ajYrfjVc3KGmT66Izouhbr8QCuS3Hmh6l2Ncu/vVv9pj7fOdGRLqMK9uomd+c6Sd/nBWcc8Bj7rNmyoQVL/M6j3iDAxZ8mNd4hc9yn8dh90MPmCK1rJbTwLzWwOVygmSLzA8Xge0fc8J9HnPEKVPW3Pdrxy84oaHinAPe5piKxkPngdPdfbC4XE7cAlXVPhdVEyb45A7WY0445m2OOAsMHTyYeL6uF+xaMI/6tAbbunJZLHipxYOsjFBSzH/FhIkPSoBL0yynVFUTBZ/w9J02+vas/4BFCBgHLAL7l7Vu1kx9sPBlzlybXOgsAd0pAyN3QO7aPMpQ4tvt5rKQakrOy9iuTV2mlz1SZdhgIf5jlVwgXU8nQYYDYqCoMgzdp47agCRBDqCexuym9WrCqqpZL6dxVLEsuiAu75UqwwQkO1/R1KW/vuX629+8Cci2TaIMHSj0ncCdYLFUwJ5ZMiMdJORlgoVcbzrdtQ/Uc+10RWspNtKKnwe7HWAuVgFLOOWIJzxgzYQ55zzizcCkP8xrfJDXOeKUc+asmTLnnAPOOeLMSy2+E8nFXuMAF2hmKyZTx2yPOA2yzZwFD32q4ymHNFRhZFDR8DbHTL0QIxILS7WEQDWlqaIcIfU95oQXOeHQBwzR4ldMOffP0hRG7sD+yPmWziTtUiu93/sW/8LOtaa94KAzEpBypUzH7KThC5jFju2CxXkoI7JzkYRc/WW0UVMyKSesq0lc68VquXjWP12HEcXchwML5iumnVEApZNa3GJjNdTqEXOhs9fsz9ZM/bNZ595vKliIQFXSwB23ezJQdIDELYEwP1x0Ri4dMFepqovpQQBiRyjcNZiUWipVhn/CVDJYUNJMKyazNevlxI0qwF2HKakiBeSzFfs+i0uPKqQNOqOKqozXeC5gBN/6c5wb0RYCRaUChfWpM4iSx5Cow442aubvhlXAmWOob/AwMMMP8xqPeIP7PAnvJQ1PuB8yWQR0DlgwnR2xPJu7C1E/VKGaAqdBZnHM/AkPeMwhpypv3ckTpxyFm43mnAdmXQeJBbXGd5QVpqx8cDnlRV+GgC4Q5JVTjjzLnXhN/ji2RZ0Y8hO1+AMVLDTggtP35/5BH8Ki3b5NnFOoDUusSyfj+GChA4Zj/w5YrDwkN2etmXJu9WPD4qrK8Xrxf8hpOMc6UEhZcvduQ8Vkuma1nISnqG5eO1GGkpGLlqA0IE5Ys1CBtJk5tnspyyV0RhQgd81OvHQzL/11lvDtjsHJcedlE+4CXorcgvKr32fuma8SLPSciDaZLN8YregAt9E2dIA8J0E105hq2x1V7Ec/7kCN/NQtQ0YvNtOqEyiYdpl6rt42WMy2pMEOsHFtlnfL6sjMK97gEW/wYV7j4/xrHvIG995cwjvAFJqXSx5zvwM+c84d26hLB+QnzqfOnRaZxTHzxzzkTY454WVeD0C14IADjlkw9+DoOm9F4yY+l5PILDxrkclQy8zv8ziAbkUT0illklUCR5BJ6rI79JwBdUXl9X43cRuZ830eu+P2HfOcuX+IdenFkgXhBizVzqmJM2GzNlgIw5XgoCduz/0IJkpEJhDVRZz49Bn/EuwEzOU5rTpQrP13ayZupBFSJ/eTga4K8wmR9YucEw+7jNIQFQcsWJVTv5CZ952wvYwEJZPn4k/WzC/9ZHldlnHEIgulmTZ3gBWDhZ4T0fMJbnnotct6Kt11UdelCxRVok06rLYOQH5wJ46G9DXRULo03DLKT8u6JKx3b/XsDOvXk9thYnvqJrbXSzcJv64aLs/mrj1yKKaBXJaimK0yG+9mo2Z+kyYnrnbs7JQj7vM4aNsPeYN7ry3dI1FXwD2YNwumZVyQSy78cAFpQPQ6nTyIeeoBRSYqBXw16K2ZMlV69MYDKTJ6X3jyELHjh0Bj5AoBtw3/Pb4FWA88aAkT1fsLA50kOm3yGJSV1KFeEw/uEbicTT3ApiYwO77l3KLb3i20UKk20tq+Xro4fupbgKwNwUI/ItABVh3a153buILm1B9hST1oaWN3KFJGHc5xBO8oDTlpy0kkAmzZxxwobbksm5iZ5Y8hbOaJwJSVO5bSTQ53AkUS0NvOyEXXXfxKnWVUUVZl9G39ZSZD9SS9frSi+KZ0mVgsJ26yXEZCKZ8pjdxLXVd9XMQos9yk6cSHGt7mmJKGD/MaL3LCK/wm9z61dI9DfQd31F8CR/cvmN9bbDDz0AGW4J9xEf+GAITCau/zmAc84dFbT6lLWM9OOJkeU1LzhPtuuQAFlk5i2Y8TOWG9jjIMXV19zniRE4454QFPfE67Y+OnHAUWesJxAJ6yFBkE84qjiomXcSRI3A++newx9+Aok5RnPmdfA0MqUFSVBIq1klnOOObt0K4OBL3cRBlGFRVNJ70wZQ6oIvM/9DLUgfKttX8gsPIO89fHoP37+kuAOPDnQMoMKZUqWMvxnqeAKzSMK2gylQC33pgcFhO9H+I9CZL5cpGTcYjMX55dG9Nau3MhpQLHBsf6w1wCRjtX8wl7PivITQxH39C9fyCkudp5imp/E206zHzVmeC2zH+Cn5gvJ2FE0czWXNbVdnY+I8hQk9nqyg8bGsH83TB/NCdPj+GuO/nHnPClb34B/m/gV3Fg/hCYQvEUJvfWARy0Tgp01yiH0PmdDHLOMW8HoH349C2K12G/gv3yksnDtyjvNrzJI0458hqpu0AD2IpmHtYZcQcwVfU5DAEjgrkw8rW6e1VAJQCZnhxa6rrXQWoRGUQyZgQQJR1RdPnou4kSlJVZfN2FyU4UoFvAlRuVGipOOUreFLUxojCMcO6DkZVCJMNHhsELLxltgHkCyCWQTgPYxvRNPZ/g6l6GsUfHt9ypivVfe99axlmo0ZYLpKLHa+Y/KVdOo8/JOIrNTlUwFV1eZylF4HUjjDCXUDU9UkuUcKZhlaLuPQTO1l3/U5cR5iZDqy7zN3MKe5IOmsgi0llQ/guamb9PIxUo9CSombOYztbXAuYrfYfdc2KDwbwoio8Cfwb4o8A94LeBHwd+qG3b85up3o7mj2Z5csQJ0Nx1YM6ngU8Bv4g70V+OA/SnqMwIBwwHLNwFKdka+oYNfyFGoHLM+f47b7H/u8DrfrsS9hs4rp5yfOfEPyTjPC+DBGYe2bM8lFrA8JgTjp+eUTWwmkJ5pwms/MCnLQb/Kc08NFHT0bS7k6DnNJScehYq8tHEd+CkTKTfvX9hh1KGpH7KhGrlO6cbsZwH9uiG5w2XiUwWMWkbuUlLXtLxJyFQuI5/ziIEDDCPujP+tTwkoKv1fuc/3hXstPkozQUpRA/7PRjKfIXIXJqd6zpLvV366TRIRFkZR2X6lGUTzpUEYEk71W0io6/VNolIpQdWPtiJX5mkl3YTv/Ie1kayIxbL/L0eHzRyTwYE0LujCnXz3rRSQagvUNAZWeSWltjF3tfMvCiK/xD4EuDHgB8E3sYtJvsR4HuLovirbdv+zo3VcqjJ0TzeZ1m/CHdxud+/CfwifO5Tjtc8qnCA/g4dFin6dhj2CjMPk4iSetcFqtmbwBvgk1mQ8zybwvGXnQSwDZkFFmzpfpYJUAkYx5zw4K0ziidA4/zev/eU07tHShpad7XhnhzcyD5tiuJ5kBFWTELuvbC95HyCMj2fMFVgJXKLdEzRbmObr4KWHCwTKIQZat9aThAW5+4ALv3EsHPSqbuxsqoD2GopJ7LnOpybxmvDst2GHi9towNFFedBLDvXYOtDGlOfahrmLHplnCZk+lREzVzaSTNzeZfR3bn2rXVzVfc9BbRaxrHMvFHluDLWrKtpV2pJ6eUmk8imhDpbq1GRW2V0Olu7jJmURLThP+rw12HvSzAviuIR8Mtt2/5d89On/esfFUXx7wLvPZiDO6LHgI+ex7wNn4Yv/hL8NHAE/Me/gQPGFUybVUgVkw4chvyamXekisicX2xO3KTqm7h3PcS7i8q4OI96omX9CYaoMzaOVyeuvm/FbfeB47snHfkmSixVEsR13Q98tsahYrfzd5Y01R5MXXrliQcyAZQYKKrNIGQ0+YlitqLNi5QA+IycwxBMkxOsG+2ig0XUhYU9u9MfWb8AwjTnP2EpKUfLLOJfJtnj475rp2snfEYwTLNzCfKOiZc0nPtgsY4Tsj0yjp68Fb8pZi5gqNtcfJdZ9rwp4YhfnScvN1OB3HTmRhVuxGIyfRISizB/Pfmcuy6k/Tv1tpOgVde/ZMj0ToQPtPdtamLbtm/geGewoigkKeFr27b9+bZt/9lNVG5nkxP4mCAtHHEGvwG/sILP+s2++i348i8CZzBZXjC5swoTdB3d2QK5AnMBq4OzCweybxLBFl/+UzhanTKZrrosozZ3xun8W0QKiWB45+klPCUGixkwhflqwXx6HkAryxATmTIxl9rdLHX0dMn+O0B1CXdPWUwPOm0yVGbR7FBLLSLXSIc/V3nW2Uwf9S5rpJQKDIXZanZbUgfW31B2QGt73ZvQ9hEIVx1ABBRgxkAxBCR0oJhmfAO+3ptLFXQAN5AGlcmiuH1kt5u55joLp9MuwnDD36ruCmj1/EzM1CoDM5eRhZt4VjJOLmMGksx/M78/PqMgGyi0VXJMziZlYm7mGexWLIFbFMUPA/+e/Il7fs/RdVfqmUwfiWLR89UCnnaHDW/JNg2UamIwyw4TDFdY0P7K+3rHv698XfznyfKSatpsAoq9oE09Kt2RV8SX7Od9T6c9qYOpThOYZDf9bl/8N85vqerc2y4J0+mAkYnqBbfqzjZawkhaYnSRKgOiZq+BMLd8cK7u8h5ll7WpezxH8t2QettjLBN1734fr8mtmT6VbYNmo55Nrq22+o4Hos+VTuNMmZbO+jJ9bNpmp2z1t87GCcdgNfAEoukF2a7Dbsvt/G+3bfsR+aMoii+/5vpc3SpcOqHPQpm/cwmvRVYO7vPXPQWWLkGgO3RUDDejO+tJGt4BvohjzU+JqY8vuM/778Dkrmagddr3ofYfgXbOufMpviX75TD63riBI7Uk64Zmvgrsbf7O0vn3gWi/hPndc6VFd0EgZzpPW9jVQcgIOUf0ZpfFEifqNnzrdknILLb+kikjFlnjSoF9AtR7ZBzNovUNTxDv0JTfB7VN2Q0OXTlEL3IWmadch9tYvwaqbp785vLJHWarA1JGIuqUQ91pyzjqcX/LPELI8Am++ydvZZtugO8GUXApwbH+8Xz25skr/5o4XMXe1xOgyn66KIr/CrdcRIFj6d927bW6igmY+3NWvIPLMlH2BjgAXkFRWy1WXUAig5iHBstE3AELB7ACtl66YeY/+990Jwh+5T0jVeihZmD8AuaNL+cdOrecD2HQmv2JVDGTY1jhJm+nbi7BLfUbmWjSd8aiXLEKQXK6WrOaTpj4yTd9c8vQThbbMt78pAHLDceddKHvNN0GiN3lh6NM1K2j47Z2YbKUj06dq9jmHY1dta34cvWPYGillmy7lHZEsjmyiiOkufl+e9vrdtejIfnemQbbftbebZ9u+badpHw5n1Km3FCVtKDLNx2J7jo0cyAE9ufJdgXzvwD8HziogrDM0HNioplr8H0H3nizu9lbELNUvAkYTiyY9+jOJU3MeBGgfYcItv5vkWSS2RrJw1Da7WodgfyMKLV4WWSzQynLBAvN3iaso4TzDg7MD91cwvTOujsJlwOVjAyiGdZ0tWayvATWrKdxFGTBZptv7V+/hN02lErHHQ4oKd/ddnJ6/5RVXH5AAdx2vzGTR3zrEaHbplTb1Pn2zvTarryi2bPzETXnzSDS8d2ZSGw2Ap2+Fuzxp9o8eQerAlvoavKx7buLhOWu9ezdsebOWKnfVe1WaObAj7dt+9/LH0VRvHKttbkOq+gCdY1fmNaY1aDpMgLZN7ybCVABKRq6mvY7xv8qcYHrzpL7jA8Cy8sYnMSn+F9u6q7bTHfEMFTVk7y4z9OVy2XvtaxmnmCI9aXrt16PrzoAkAlGCb9ap7bldI+vC4RDWJndPilHEO8Ate1uH/+36b9Jftaatq7r1nPb03u1/qzvKLW/DbUq0cYpzTw16ohOzARrwmyQ0ftL/dNBqM6mPlbV9QE5XL/MUhTFVwO/0rZtskcVRfGwbds3U79p2xXM/2hRFP8Ct3xzAXwQ96jka7WiKCrgvwV+Cfhq4C/mDnTDhFl4+YQa//wfYyu7W3dSKNgWZrjB3jW463qkrOeIQodplE8B3TKWlZVAtvgPx9s0sd4bDDvD3jK+9USaHh47MIdiCdVsc5I3W3ejaTt/OfDoSgaaNW6U0TN5u1lWF5Tic5g2gX/b+ixx+zjs7wJkHUDiWYGnG3gaU1b6fF5VepAyBgNcBnXsKGRzMrQ2JGB7vbc+hPwZ7brAvCiKrwd+BncjZq2+fwD8M2AP+FHgz2/ztSuY/2Xg/4XQit+w4/5D7T8Dlm3b/kRRFB8DvhX4G4P3Nmw3ObGT6NDJCbJt21oZoyaC7UDQGLxdo15D53EywQhUZ2nMtrWbS7iqddinJmhNw1X7gmWeOoc91cl3CXjD9fthQNEkGHtq3wr14I8hlpC3Upb/vocIDLDcvr3BoWehrZxv+fy86NSX7HFdt/O3bfvzRVF8IfHTdwDf2Lbtbwz1tbdj2X8Xl6fxpf714o77D7VvBH7Nf/408E03VM5oo4022s6WnmbefA201CLrj4B/XBTFTxZFcXeIk13B/GeA/wH4L4D/Evj2HfcfaveBz/nPr+FWUulYURSfKIriU0VRfIq3TWAz6z8kVTq7PCaJNYrtGg+pbavMtlV6v6QN3a5Ur6FjqsR2cpHphYs69aigvYb5HX0xa3Jal1dnWCJ+yTKl0AAAIABJREFUyGd97lKdKNuxku0z7OCHdtZUxkVq352Z58Y1md4//311Jbkgt2/vcQwc8WnfOwLjjZto5gPB/IHglH99YlAZbfvdwMdxpPZ7h+yza5f9p23bBu2mKIoP7bj/UHsMvAz8S/++MYfZtu0ngU8CFF/5aoxsorNW/oKoMnc1mVFSDhhyYBhOlgVun9rH1NQjZT2tH5TZ0uV9B3/68Vrllg7ZM6QNx1uWUF3EAKHqpKe4htS9acoQGPSiSw0lTeX08lrVue7rpJm2sfXRU3G23JoMQ5Lj3AIs0be7ib873VqZ7cqtE6Bx+3jbe6z39oA0zHcMcuJTliDInc+ryhc7Z3Yk5kJSfiSDRf9em3O/zS4HnpNdbYfz87ht21efpYy2beuiKL4f+GtDtt8VzP9AURR/mzh9+BHg63f0McR+CvgY8A9w0emnBu9Z427AUUz5fmo7DbjeLDAk2TaxE66YdMG7xiVrztR3UwP+2m/fZ9zFvJ7tsT+7dL9JABLfs9h5h15c3fwM9wpBosEdz8ytzLjVZxZwu8mMDsz3qOtL1rO9DuDI9kMARW9ns527oJgG3G1lpAA6TndugqFt920ToDYIidWJutfmPWk9wciOXHK/DbU60cbWR+ra6tS93g43to03RpF0g2DHd4641F1fV7WbWpulKIoSd1f9m8B+27ZrHA7+/JD9t7ZuURR7bdtKGuc/wtH+S1w2y7/ttynatr36w/Wi/TDwZ4ui+GYcPP6lQXvJRKKwV9zejx4SVzTETRt3AB//bETiantAVi7pAIi/G5M7xIlJ+W7mvq+9384F0NPy0tnWTFlNJ9yZLp1/qbMKFtJ5khdXJlBohrlmEoMDhOC0nu2H231yjDR3LBaQVkxYTSeAu2korhoyTXbcPt/av37JhJTUOTHcHWQpQG2Iz0G1TzIaGkil3TRIr3A3UIGb5JPvu4Ej0QCZTJ/uIgnutQ4lEK5BGwg3fHf+7o44csGyW74ZPckzb205FUF/a5qSptwMnt02TF/rqQlmV0ZckExGjdcB6O52/uuZAPWLFL4M/HHc+q5/Dvgu4O8XRfGjuFsgf3CIryHM/Lgoim8EfrRt2x8yv/2fRVF8KQ7U/9bA+m81n4b4/f7Pv7fTzjVwTDiy9g4UL9MB80fgpnGnThvWTHtlwVzWAjdguGLqHuJwB/eSKQqRK14g/BY7fUJnt5o7+E4YV9ZmtnRge4fAnCWALJiH7bJgaOruypBnY85Z3nmL2R217RRWpYBtgmFp3xkLwUjd69lMqwCM6r7QPGglTANoXAordqx4X+mkAyrbmJQFrHgTv7tfVW7n1/XfkCsyoNIoZtjNII8SjgQk8b8ZsPrbx4FhYkRkgqX1LW26zXS76wx/bel6Dwh0dRq07UhGt0WoQxbICcFC/A8ZnQ2x68wz94sU6oVevtW/f82uvraexbZt3yqK4p8Cf6Uoij1c9DjFrW/+Mi4X8n/eteAbMwFz/1TzxZ097nz4kld+Ma7P8go48PUabnc5/2k84ZnJTGE8K6YOYF8gajkyKrgL3IGLO3TAtgPolvVvyDjusW3ceer8rYgsWvle0WW4YXW6VNDw9V8FoJ2wuDNjdncZ1pW5uENYyVtGKkMYaFOX1GUEvDUT/7iPebjbs6FkwUFnMdUN35kJYd2Zdf3POQj7r0NArgKL1my0Y5kRhewfj2Md/C842Ph9UNs0sW1koQZ5iclnK2NslYcUoGl2vPLLAoitEmAbgvtACUS3pWP93QdrdEcu4nu7TNTUkZnrEZ1e671b/3g+3ZO78uuyiH/X/lef2X/fLoEL0LbtbwN/qiiKV3Es/BD4OeAftm37xd6d3y3Tw04lsyymc+7cPeP3EcH8nmxTQqMAupfZpvRsJlxMYd/LKWGRLfE/hfVsLz0RZ1ve1EMPmbX+Hpi5970B5NanucCtzrzy7PtiCvu+DUXX7mVXGcB1ZWwyOPe8zJVio5vD6SwgZkBXlyG3wlttOwniPaZZbBpUukt3yXdD6m2PsUnUvVu2mthttgN6U3a1/M16doNyKGOrbz2X0GW5pfK9MVJRZWcnIusqgH1Ky7cjq8a8b4yG5HrX5EVknmt80tv7/nb+tm0/hXsA2/NpoiU+IDDzUw75wEfO+Lop/M7KZbZ89B6OTR86bVgeXCxLNoUTJUFBZ5AQh6sL5pwf7rN/78IlT2ot8x5wF06nR0FuSDJn9Ug38V8r/6cc8c7dPe7cvYyavGf+i+ncs9xJYEQdS0o4EaDkWTenHFLerZlX7uEUp1P3uArdJkkZR4KFYf2iB6+9FOUe4tCEthXWv+qMWPp966GySCwL/+gIJ1S43/VoQI8shtVdzVWoZbxK47+73mEcuWwzzeZXTIMXMWkLkaasxNJhuFJvrQur4BUeDqGiuT4mCeKddrHsXDNnpWnrtdDdQpvx4RRrVYbUJQBuD3tu6tLLcE5itEscuPYx8zeNl1D6mH9dgW/jdTOl2rLc7xC7LasmPv9WAy8Bxy0lDSe8CF/+eV74N+Hf94+NKz6Ck0W8Niyg4IBgHoe+ArZmUlXA8JQj3i6PeeH+F+Kqg+DY80McmHtQlIf0NpSEdSTEtwF16RTnHHDKESfTY+b333LPl2lcvS/uwQnHnDPf1J1zT0NXdZfHIZ/55wyVNDR3XOeWZw/J8+MFWKL85P1LG1UgixpFaSIGowP/pB4BljPlX4Axy/5N3aX+QSLyD5+WBaXOFYjrx0sM7XwacBccqEWwXN3luGKgUBp4Rqq49MywKfVIZeLrHyUiaeMYoBV4aUDM+K+n0a8GXM2m9e+N8t0JFDrIeebc1CWrcoL8i7y/DOEoBiLlOwW4nTu0Cy79JKsOGDIP0pWJYqCobb03Jm67/ldL9/i667jH4VaAeVEUf7xt25/0nyc+deb5MTmBDy6YHbsVWZ5wH74M+EPuoaXUuL8fAndQnWoeOn4ALZloVGDuLurIOM84YvnwC8xkPZYKB+aPYPkwAq4AHADyJPSsJl8GwDjlkBOOmdxbc1zGBzqf3LkbQDfquBpwo7+0Zj4JYHvoM/EFtOW4BHDjxLAakidkFseu4kSyMPBT718YnASS2OZR2w6WYM41kbUughbffVjxSoGtBlygW3djTR0n+KIWP2fKmga3WmL0f9AJKNkRUaJtBIzkYdByPuQYNHPvZPzUZY9U4cFQjYomxOV/te68UME/BAvxrZmzavsQjAxzFv9xbZY4lxSuGQHcntRBmaSUgKEBXPuO8xl+3mQ58fUOQ9puGZX2717r6upaS0uBPILvebJdmflXFUXx023bXgD7RVH8N23bDkqbeVfMn8jZ8SnHd088Mz92D29+lahrPyQw59jxDzj3j1JwudeKPUOHma8DEB7yNsc8uXOPhx98K2jOlHDx0AHuCccBcDc0c3nNxH9kt8L8TznibY6ZsKa5626ikOdPim8JFlHGSQSL0ERlACrxf8AxDRXnzAPYxkAx74BKxxIyThxux4A3JS4fq/1Lu0eG6/XThF8xaZs10zCikHMC8mzRIzUimsfJaox2u8H8qzA5qQF3zkL5l1GNlnAqz0ATLLEmgG2KlUudZW2ZxjPz2C5+XmDLJGJTuzqsSzdhu6b7ZPtu27nrd0MGSfn2IwFhzuuy+7g59x6BLU7uTsP57LS5liLD+kWR/TfTqjMpjB8FbEhgq0lk/Fa+Sfi/rBvquqS8hpuIbssSuL8C/ERRFOCmE37u2mt0FfMn9PjuCQ94EsD8tx5+gC/9w18IT/+hAh5Bezcy83PD5oDIzKGTly4d7oQXOeGYx9yHu/By8xZ16SYQT6buew24wojck1HoyiwVyPMKV6o+ZxzxhAdUHsRFe9ZgfspRJ4sD6JGIhL1Ng4+JZ58CKGsmnSAUfXvA0sGi7tY96qaTwJxL3HM5NZi/zTGnHIZ22XgMlwH0po4Dey2BCGMWhhxZ+0EA3E7dtX+bTeHT+2RUEWWK0rdR2Rk1aZbbJ4M4/1HL1qzcVaWbcaJ15xVT1o1nk1smEbUUUnr5Sc6rPjdxvsKCYsq3K3e9nLqHLt+JyrxYjpmvVxNWy+kAwO1KITKAdSKOvgPUB6Nmymo56TJ+u7BdZ5G8IhzDddn7XmYBvhmX//3bOK77f117jZ7F9O1KFbzICfd5QknN2xzzWb6Mo1dPufdo6RYGWAH34PTufqdj6kk/wIHgMREQPUtfKdb5hAfM/dPUy3vxyfAClBEU5+ECKKuGy9kFzPbjY+BmQNUEQNHMXwBRQEA6pPiPoOLYWQgWHZmlq2mfe8ATdiuBAgjfW3beWSkuleFTlwE8pQ201qz9n3V8++H+tqyKpvT575Mw8Qn4ABFZrgB5DM7TTTBPHENTO+Ypo4o4CddNi9MjihAsemUQP3m6mrCedll5TRkkC80+O+xccqW1VGGA14HhhMl0bSYQu3WywaIjg4hfK1UoZrteTSindai72ySeh8Ccm+mmxJJbSbQGllOaqmG19OmZVcmk7D7QWa7v9dIFoMvlhM4jErXvSvsG2Mc9GuXqdis0c+DPtm37tv/8uaIo/lfgP7/mOj2bqeHbhDVHnFLRcO5B700ewYff4N7U51NPYVHOlQan0rlSurDSzEUXPvedTQDxlKNOZ+9myGQyKhJSiNZOZRJyonRnYdWaYW34t2CufAt7cr7P/QTlPABv1Ph7sk1S5YQyolwhedpAYObdbIduxkafb5lEFMZ6wMK3UdNhzvamoa3ZJp4ZyiRinGh1GSd61CAyVWcirk+qUHWX/XXaoZtHWZnvouy0MdGXqX8op4m6c+mvlU3d2Z/Txsk3vXnaitk6Xbvx2nkTArTV/EVeqVMBricX/FKVAX4OR2WfCJDXqSCRqreYmsy9rK8nm+V9m2cupoBc7H+8xrpcj1VwxCn3ecyENacc8RofZs2E+7zMo4dveNbehMlJy8yDlHDoMzaClBDZrTDzxzwA6GjiwgyFnZ8p4K0pKauaZrbmUjR5L4nIQvqW3UuHOQ9D5+7vpxx1MjZKzcyVhCO6rbDXU47CBOK5zziBKPNo3XkjIyQTLPTk4amaeJPRRdSF3cgjKVXYh/NWbQDb1VRksYOOP62dy/FJ5okEjrouo1RhZBbwI4tmyqLUk5PumaKWfQprPme+PUWOyJzLquG87PqWYCEAEVMjHcPdANwUs1VSSLiHwvvXJsF50cxZLydOeuiTWIL/iotlDGrNrAzPHQ3fqbmDlfa9TDxgvDJ/LwtgygUu8E1mq/iEoKoJwaGReiynaVaeOo6lf69cGddht0Ez71jbtp+5ropci9XAoXvI8SPeDHLEa3yYJ9zniFM+zGt8kNc54rQz0SdM95w5q+XESRWzC2A/XnyzlS+mDDLHE+4jGSBygk85RPKpu9qzu5CqqqGpGi47mnnUilZeBnFgK1kU7sYVkURkmxNeDJp8NxvEAyJsZLJosNUTqprBdaWQmJ7Y1GX3aeihvCZMwi1K0cojaAlngy7gnocRzCQtg+jT63VzmwkiEpHOaDn3qaBBDhFtOHvt2IyKeQhC04R/nQG1tvqtXItKE06DrRvB6ECh23/dTFmcHURQ7NTXtNPSyQgLaaeZm0y0/rVUsVpOnVSx3B8gVUSwlXNR+Wd7im0Abl3mfev6i9S4LKCecTm7YOmvM22XEozrKgaIJfm62zIqcEtKXc0u2duc43kO7PkLL1cxr20LM3/CA972unJDyQEL3vYa830eAzEP/NzfPON0xMpdpLM1zNbugq8a9mdryqoJzMwx8/sBaEVTdiy94pwD3vbMXFL8QB5wW3Mxu4B6PwSKMsHMhX3KLfHu9zjRFDXzSQgWZVVzUdUwU6dXfHuw1eC64CAECilfJllj3a1m7rN9wAUODzYChqIJi6+cLhwkHc1AIZma2NQV65VbGEx8ycSqBluZZJX3RTPf1Ib1NeN14YvlhJVM5E7j7epWZtHtf/7OgQPFFCvvALob4i/O5gFsJ1M3WkmBuZs8dOzWacPVJmDpcvBlLJ0uLIHJrqXe+InGpi77gRw2yxFAr0suqiaArTBnyACuBd2UCdhW+D6x7whD5ziLuG2KkWfmEyJh6il/R3vfyyzPrbXEk3TYcsA5D3jiszymvM7LPOE+E1ZhYks6qsggwm7P3zkIw7yyqqmqhtoz8kqBrdPinVZ77pniwuvOpxxR+b8F9GUiDtzFX1UNe7M1l7VLg3SBog7+hX2KrnrK4SbDUnLFuWeSUaroPKctSjiKeQKhHfRwXKfIiQylNdbot9vZZHgtUoKuo4DWppTgpBCZ1OqY/rOOw3eQO2ujNmyH+yG7pZlGFtqXglcR2LMAYTMr/U1lB93j9GArwJgc9lv/HggvqzqA7Wo56bDboKv3sVvt09qycCBYV1xWNRd+hKmtA7Z1ht3m2qfC7VN1wfays21G+hgKth35rtjcTt775BX7uZN1lTi+He22pCY+31bD/vEpU1YcccqccxpKXueDvPb0wwCs706DTnzEKYuQJucAXTp9VTVMZmvKsulkWTS13KXnwFC09wmr0OkF3OPiXfFOv4bKaY2+E1/6QCGBA+IyqxDTIC1z7t4kc7CRbbJXNVzSfaCtTC6tq2nQVDVrluPRE4DxRo2qK4Nk1u5u6soBc1X6zIpJx7euvwbbMKkFPs2xwqb5XRqwXVeTAISlmSgTX4Hd1mUXcK3VBeCY7aVnmi5Vzm0s5yasje3rEFlzzwSimAXbXDuGNEfvd8kmkGH+7gChAtxElZLg2sf6U2DYJ1mk/Nrvc/5JvKf8av+538SHlY2uaLclm+W5t7JyvDVOuDkWvXzsHlf6+G7M/RY2HZdknXYAqywbl4FRRq2xrIRxNipnuA4ZCHJLuWjRQLhBQw/NRGppKp/eZYfDxJsnUtkeEcxVxknT9Z+z9XISdFtww3KdzxvLjIAbburQ7LlqsFqu6KbOrwN1AVp7E4uw21r73ZLeJ+CUAtrO5gp0AxvtsxocOLkUwMuqdqBeybFECwzfMtwcEGJ+E3brKp+oSxH3SYFutv6kwbFv2xxbTm2f8m/LGQK4ff6Hfp8KaLv4uKKNYH6T5k/a0d0z5iw44pQpa2pKHj+9D/+fYzifrz/Cr3/8hCNOA/vUEsvlMuraU1YcsAhywar0+bNNyWl95PTzMj5cQLIeRN/euPOumcYMgBKms7WTcZS2GUEzMk+bNaBN36quU9gE6Mqq7gDwyt84UdeO8duMATuhJdu6v6OfvapxoCbbK717eTYP24jvZN21ztpndeEkneU+VBWXOFB3zHZLbw1BQgGkft/4TiaN95Hc5H7/CX/bytFmpYTUttt8yPe53tynFe/iexdgzLVH33dD0ehZfO9aRo9d3pLb+Z9PE+m2cpksAqwCqMvP34PP4p7ZAfzmS6/w8O6bQVIQpn52cuQAY3ZBWTU+Ke8cUGtNl1WY9AJYVAd+wrQO+qdooQCT2TqAVlOXHNxx/kpqJlN3c0RZO0liI60LB3RW9xQTdq9Nyq28Li8WVh30oHvBpDucDw5ML/B6e6oe8vcGUwWoiwCEl0kQ058zD6mqWgXCwn7N+iHpx3X3A1vK+nTXnG3rPUMAuQ+EU+X1AVcfQ921LO23z/e7DchD/O8C7s9ko2Z+s+Yv1DkLJqypaJj6G0k4wYG5S2Bh+co9Xv/DH2TOAnCLYZ2ujuBs5i/aykss67BNSY1o5XVdhkmvC69pXtihpl9rZe/Q7T/x2njTlJRlzGAoy5qmrIIkBMQMhqW7Q/RS+1Ud8nIGF7PWZ5a4bBttwogd86+jdhyO07+Wei+7ANg+lzM/0eXLAdIBxmq8KS1W66HhVRg91mYx+Pc+v9aSE2qJ7VL6bkresL5tGX3+c2WkfKf82+/76m8/52ybPm19p8rYxX/OUmVs87+tTaxv+XxNgD5q5u+GVfi7Gb3EIOlqJ8Dngc/hTuhH4Xe/4mWO7ri7RE85YnE2hzPvx9+2X+LYuXxey4JIdeUAcYnbR/bTF8sMqAouj+/ADJaHjtnOD887E46u2l5iKRvWshLc2b7zuySd1lX5Mg4Ld3PTrOICKA9FXolZEiLlhElA8XlGBHMdKCrlfwbMZO31/bDsgJTRaHYvQJ7zreu+UYb6jiIN6OLPtkkKbG0Z+rM1XU/7rsElGYgSr1S9df23BaMhfnP+dw10JD6LX/s+xH+fz74JzV2CUc5vcn4iU8YVbQTzmzJJTZy55T51CtyKqQPzx0Qw/wycffYDvPmVJy49cXXMxdlBzHWtC0pqWeZoMxujLt22J+oFDsCkRfXyuYfui8vDDgUOt6CD3FjjrzQB3BPSgK6BSdaOOXSpb41PcRStfcMEcM+8fwuOFmQPiQ+nrnCgnZtcFbCSAJcCXt0+uo3kOwjnIAC6BXEpQ/vWpgFcLzY2o5vPLL5TgSIXRFP+9edUm2jfqYBhLRWAhgSLVJDbFujsK8dm+0ZF8r4t2KWOdVsgsiTA+td/bwPxa2TmY575TdtMmHkTcrobStfxNZh/1r3eeOkR88MFpydHcOKZ8GF0FxdDXQewrfATfwIoj/2rJjJ0DbQQwaTy2TIlG7nRbjOfCbI0gKvBUR1rqGsAyMJPYnb9lp6ZI/VO+dYXuwbaWDmCJKInPrVZsLWgLhZGFcRgp0FeyrL6uK27Lk/71gCoj0H8a0sBeS4QWf8zum1mA4WtdypQdON73F8vwBauH+M/xfqHBCIbjHIjgNSIYkggyo2KIO8/N3LZ5r9v5LLLaGUHG/PM3w2rQCSLzuJTFgj86+LkiAX4XGGSJ1svBdWxVMfXYC6AJGx9ySawoNP1TKTPgaJmt5Xaznf63swQuYvQgolluBq4lO9BncF2eC25aOYv/rXvPp9ifXXXAUH8W2ZYq8/Wfx8wilngkDbSx6TL6APcPjDXZeigYS3nX/u27Fa3k5zfob4t4Gr/+thn5jf9+1D/qf13sRsE8/F2/ps0z15EJ5e7FhfMo2TBBTzedwz9c8BLBRfLF+Lv6sKufEaMvsMwrOGsmbno8RbMNaMCL1cUYWW+CTHwQMxjbuoqdsgT85LOKUHiWJUlLNTmgmu/+o4/qftjuuxc/OkOJe4CsCdWn9N6ua17SsbR8gpsgm7wS5o550YVmjXb56tWypdmt7kRRd+owgKDbjd9DNuYvwYZy2htGRogK+O7Vn5z8xWpwLYt8KWCcy4QYfaXd8vOxfqAPMX8+1i/Zf59jP+K1lLQXI4yy83a4TIwaL1WdgTaN4AX4PMveDAnnlzNfL1VBsgDOxfAFTAUYBHtXD0MInSWB873oKVSNajoMjQgaolF68G9i0mxCYjysmBuwVGOZYmbEPVSS7w9XPnXYKh1/5x/C4SpoXgKcK1vqaMFcz1Cgi7IW/8p3ykwtzKU2BDfFnRTQSEHPDbg2RGEHcXZoGz9a1BPBVTrf9tITu+vy9F9IjVqSQWKPjBPyU+o9xyQpwLQrtZu78fvhd0OMPfzZPuz+FQbWYBqwVzpzV8ELiKYf8jvrxmbOdlxFRTFRO0kooCtBnPd4WeEOqyXU5q78ano2m9DFSWflH8NiJqlyyTlElgWyfWvm7rc9JsCc6l/CsyFTfvfuosqsQkq2rcF3BTApCYpLVuzzPnE+NbtYdmubjOxFEil2Ln2ZYE8xw5T/lOs346AUsFC+875t4Eix8xzkoMNtH0jihzTDRPldJl/nfitj/n3jSpssLCBAvr9X9HatuhfgfM9suevRs9qNcwPF8giWgLmp82ROomnwDmcfVlMVbT6Xi0fNyNvKVkyFlg04MImmAvQ1n4Bfv8UcmtNo4DRApZlz5qhG3CQtb8ldTA+sJfNjq+lFuk4lvVr3T90jP0guXSWI7W+LcPV7a3LWJpt9PnYxsx13S2QWBCoEmXkgoWViHR9LZseCuYpQLdgbiUobTkwt3M3uWAhbZ0aVaRkEOs/JxHJ/kvyzF+XkTu3u4C5BfSUfwvkuXbdwRyYj8z8Zswz88nUKc/u3s/7bkU+STkE8Hdzwhfhcy84Zn5IzDrRw0scoNuJyYaqe4FbhgtdID/x/kMncBkttQLz8ISc5YSQyWL9a8DVF67Uv9MJJCvGP/TA5pfn2HNq2CzBQqQKCUwVJFfeSwFWSsZBfT5T7aVZuR0xpYC8b1ShAX2m9tfb6U6vAasPcHWwq9Q+lj3n6p7zjdovxfyl3tuYeR+YC9iK2bbSZCHlP8X6c8w/Z5adD2H+OTC39U6B+TUzc1pGML9Rq9zdn/rp7ysmLE88M6fFgfkF8AY8fsGxcw3k0oFqWehqGhabCjktTUYflglWLmA5j+zHphZ6GWRdTQOgy6PEaiuFWECUC1sDUgoYlvudYWAj7LkPVLR/DYwbwQjFbA0jz/m3UkiK+UvQ0OCb6uypEYvupFqeODT+rL46BMj1cYv/HMCcme9z5zLnW++H+u6Mrl1FxrH+rb8UWPaxfjL+7bUknyvzt9QvFShSdbcjO1tvbTnWf0Vr271rfTh0URRfDfxK27ZXGjfcHjBXJqsZuslP/9DkcFVc4KQW4ks6vboIm6YMy8TqBbOA7oUuF4z2jVukKTkcrR1TLuuSpqyID96tfMZJwne4qOXuqP3NC9TsJ/nmslRr1m9q+Gm/zw2ddYdNvawP3TFn5vtdfdtyNJO00k1uH+t/yWbdbfuI/562D7atzqm2t22UanvM9tvqn2p32cayXcy7PX+58yTbp64THQhTdU+VYZm5BAJpEzkefX3m2iVX32e1FrauwjnQiuL/b+/8Yy27qvv+WZ57Z/zGMwY8g50aSpAFdhvRqEZWIYS2tJVa4zQuonUqVFQViRraPyyq0JAIqgTRSjRVVVVxItVVqqhJFRQVycFpMVAiiNRgGlcJSdMqNmAaaOqSsRnNPN579rvj3T/OWeeus+7e55z73v317qyvdHXPPT/WXmffs7/7u9f+ceTNwK8Dt2C8E5HtEC1ZAAAgAElEQVS3Am+gurMvp5S+1GdrO8hcwyz1Cxb22eHb3Fp1fjZD+mrVzD7wPM0wxUu0OyqhIcMXT52uX4h7rVljvAqFMKuC2Kvt7lcGuIVmSr5Ttfr6sGtnpm/duXatXu8lpxAv600+Xzs4hsnNedVcb790UK3a3nRS5hRKy39tuYxhMp5VkCOXztCmfuO/piFtBWtbFzako7DE1KVwPWwnmf34+PYkk399YRabhu1TUFhi6fPdk7klVa/41V/fx2Nt+W3vuyc0T+Y+BNOn+vU8b7+LNEthHPcMZ33N+dgXZvH/8XGRZGFknlJ6QkT+2O4TkRuAh4E31rueEJE3pZQKK9JV2A4yBxjBqJ75uc8pLnGRy9dePo01M2FK5leoQi2vrohGZyCaB/Ha5BR7Z87WL1eYTN/Inos9T6DqXL3CNC4/goMLswVgF17arZbvOnfTVaBek/zgNM16L/7BbtmfADuVfV1PJlfIduvlW3NrpswQoVYUWiJ24OBsnhhsKEThC2GWaPfa9nelHcfeNbZ3zameoLIVEfV/CzCekqsl83O0C7MSQilf7D40j2RKDDAl81w814dZcmTV/LcGlsAsOXmiUnj//b2UWgo5+Jh5V0VaIsZcGMem6ytqm0c+n7z9rsqi1MLIVRbHRQL/4pQFWLS4E7iWUnoJQETGwB3A17qMbAeZm6zQlyt/+7u3svutV1Zx8V2YFvYJjTrffXVF9i9npnn4wsEZXrjpdPNGIR3m2Kzh0irsh1REW4+WAaqsvaUirZkHSnhpdJr9F87CGXjxWqaSsA83ydjXFsYY7LBLX5hvhGZ52C5FfoDxe59paagJ1xKaV7ATsz9H+k3h2TO+j+sLby77nVPmnYp8z+T7zjRflMx9PF7t6ndXZQEmz+s81ZaL7bw9MOf3KfNW/tl3HtbO2aGvOXXu1WepZdEQnikgatvasvZyyjxHsi1SVPumD6WEUqsrp8o9ciSu+3LPTa5CWgSZq/1huCgiT5rfj6SUHum55gLVWDvFN4FbuS7IHJo70THmu89ehK9SkfllmOa+Eu8VYA8un52qc/PnHx5ULzQ+T6We9+q3yDcx+NZDvW9sajpj4Crs3lwgoXG1UiPVq80Od3cKChumqvyKueErwPmyOtfCXyLDxncNr2irQtcHvwoHxnfMtXa8MB32d719zSuoKotx+1wbZvFk60mlIStbUTC9cHJ2lnBL45F7WxQaOqv9himhe3VuXGjlTbYS1bzRPBkzbRnJlMR9aChH5t72xNq3lcXOlNBznatDlHlDiIfuu/Z/Inm7OWXeSeSuEmUEuNfoeb9zYRb7WUTM/CXmqRQupZTumTOFS8Dt5vftwHN9F20VmVcjWaoXKPMtqRbUailz/Yf3qQjg+SkZ2j/7ANi9kf0XznL1zHmuMapebvyCO7dF5vaj+67A5OYiURzuVgvsVrHyTJy6ISxve0L1cO/ThEN8GvahLinDXePnTBpnaannkbnGk1dJOR94+6rM6z+MC7PX5JrKOb8bMtSKzhZ6/R7nKwpN3nZk+jQOoB2WU7Y4nBrQUJH1G9qE6InKVrRNi0ht2sq0bhlZQre2FTkynKkofKxlZ1oZ4Q75+8gpc2zeaLmq84Sd+uNaAJhTbHpZIreVkM+bnepbn4t5lPkiiFzdO+w9a26IyCmqueJPASMREZp3GfJ03/VbRebXGHGV81z+7ssrEm8pc5v7Exqla1Wee7iuXj7Pzm17zTtCr14+X1Aoqt704b5C9dDtA4lWuKKldMeVVwcZIm8VyivO/lmmJHOhrCr7lHMTi9fKzRKiU/5dZF4kcmtffbeV3eHsvXeR+Uwld9XkvVXmSipVHreIvIvMZ5ritiJyypwRTTjHh1nsPeSULRi/tS9BKzr7nLq8t7dXqiwa+/qfqn11jOm2Vehqu9QB2vJdn/F98xumIbQJcL4d0hmizFtE7skc87sOpdmQTp8yx9o+JhL4dfeOChF5C5XyfjvwDPDhlNIDIvIB4H3ADcBDfZ2fsAFkLiKvAv4dVc/tv0kpfUREbgJ+FPhd4HXAv+y8mURN5tU7Pfd86GFGIdiRLbRjcfoATOoRIdfOcO3UiBdfOF2//Wd6fGpXDahKGZs0JpUKmrjrlEhGmbBN6+G2du23bidaY8jVfm6ctvehlRdWYVnfaX+sf77g+PMaCTPJ2K8JeDLu8C2Tpv2vsrZtno3IDhEt5U8rfeu7JRVljH1aIQu16W3b+2r5bv32BGP+W7Xvhs62vlt5rr7758XaVv8NIdrKoTQipLHtidZLXmd/5t4zvk9yO22YxV9YV372//SuzKjxnBNHxILMpJR+E1pLMD5Q7/8i8MV5bK2dzIE3A3+dKuj/jIj8DPAPgN9LKT0qIg/X53SPsxzRdFa+dOmmKur0Darvprmv0AJUN9F3b86EWYDLY54fXWB844tVKOTyOFNJ+Obmvktjf1Z96gQdO9bazsRsqaz9tq0G+tvFti8zO3TtwBzL+q5p7E0zs9l/c16Z62l0+N+ocq9ua5LlKuiqlmrXF8qSMm/5nrOtMfo6/mxbFLZMF5WzHZ3klT80Ya6JUc/etm7PtChsS87+ryNnf9TOH7WZC7NkQ0853y05jqeVqbXtwyzZ0I3tdLZ5b1nOhLo0L3LKvFU5l+yrbU/uJuSSU+YNrO1jwvZZbxA2gcz/U0rpEHhWRL4CfAe4F/hkffxp4D66yLzW7C++cLpS5c/S/swoN2gVpIOb2w+tEh8AN3I4urG63K6Q2IoJ248+bKbAaieoEp4SlpK6JcOifdscL/ifC7NY+zOEuM9s4RmbfVdoxssrmV+mHarIEVYrTGEro0Njf1ynuTcN5di4p229ZMnWx/k9mauhepilJUQdpqh5NBOm8BVFLoyj92Eqiz4ybxGiJ3SboZjfZvSMTV5h8wcyfud8V5gOSyXVXJilccmGbnwfTs5/gJvJEm4n2V4xv63f3n9F3TGaFd62JaH5fkwEmeeRUjqAJtzyWErpRRGxQ3O+CXyfv05EHgQeBODCayplvnuWQ52mr28WugztDjKYPih71bGD28qkYRW0vlXIEmNTWHyowpCkV8e5oWu5VQyB9mgKq/536t/1w+mVuW1255Q5mi+eEL3/V2ByoW27pMxnlLPvS7CkayuNDJlbhd6ryi1h1WqwMVTnlXYmKnLqs0WInmzt86OV0ZX621SmPmyh/jcV3FXyvlvCUqh9M0KkRObYfCn5PmHalzM2Rur4tifDFmHZGL+vhLrIHFqdojOEq8xoidzmiR0x429ey1zdKaqk3rJrnxVbQRwD841mWRlWRuYici/w45lD76PqqvwR4OP1Ph2a8x0Kw3LqsZqPAMhr70lMqjcHcYmpIr8MDWFnA3bmgcwp813aU/2zS8bauKp9+CYmjboTVGdsXjaHDwq2W6RliTCjzK269WEcvbcZMre2fcHRQqn201R9XmZWJHn7E5ht5lsihymp1Md3x+0wiCXzmQ64Ehna4+pc3Rmt4RC16ScNNaToKwpbUVsoedRpTc62ydaSeaNuc+EVX1F4Za7hovNTQvehCtRvXzn7vPGtF8y3GSXSgg2t+I8VGGq3S7LaSlb9yVXMOTLX820tvFM4ZvfZ529BZK6mNwwrI/OU0uPA435/PfzmR6g6P6+JyOuAz1LNgvp94C6mIZdu7MqUyC9BVXj+H+2RGvaWzYNj49o2jGB/+5dReBst2E7W/Yps7cqKfWQ+E8Lxyt9WFvtVKEHHy+vhEtnO2PaFclLn3XlzjlPPOfsN4eYIQNPIVUb1qBzNm9bKjEyVf0O2XRWFEpWtjK5W+w7G09vzYZYmBFLPP2g1zb26hSkx7U3TtGPPZ0IJJdVsR5v4Z0jvRQn3PI26bcGHKHLPjfoM04o0Z8cSrifDXEvOt3hLLGfJ15J+qZXl7Y+NDe+7+u19t2VmgWS+pKGJx8XawyzAh4D3A/9ERM5QjWL5aeCDInKNKszS3aubmBbIVqz8eeDb5B8y+yfv00wG8rFJPwSvReZ7zCpbS4j6QF6dkq0lc5uef8lFo26tXd/sVGLQ2La07eeUebPOS1fB9Mr8am3n7Gz+2FBC47cfjpiriCxB7FT3YtVtTpln/c6Ryj5t5ayEewvNyB/fSYz1O+e/V8yq/q+a/SY+3HrctALKEa33Xc/XNMbu2Mjt61K2nrxyaVk7O85x9S/XotD9mGtKdKK2lXTtflcOZ/LFPu92joJPN3dvtuwsmMwXNDRxkVg7maeUPs40vGLx0fr7U4MMWYXVqM/cWFgLQzRWJVvl5sm81SSfKbUdaRjfctPKZ2wn8kTiYUI8dnaqVc9+6F2RQCxD+wI1md6DjWvPhBJw1/iKaOz2uUrQxyLtf9E6Pxf68Onb2kYL9Nl8Oi2bXb57n+05+qxp7NbGg+05hbxtYFsXeh9KnDvuXN/q8fmK+R6b36PMB9pNLn9/OdvWd1/hebuatvUj93925Y1Pq4vCcvncV14HIDpAlwhV5jPxch2iZR8ej7qA+XhzrrPMKvNsGMQXoMP28d3xNOas6vDGku0h6tY3gS+0lbkNg9gOuqxCtPmh31b51xlxcHaqnLNkrn0UufCKV33qex0GsUPxsmTr1e0h7bxXv1UFQnuYohnh0pAtxp5dX6eU72rHqnOvNvVeLBmWVHmuYrXq0RfRnLrNKXM7+snmTVeR9754ZZvLdz0v56u3Y1tL9lgutOKfyxx8BWRbMr5iyLXgjogg8yVDwxT6aUjleapYo0Jja64JOaE9hCwnVIqhilIloR8loVvgct3bbpdl7bRt7Vj4QlaHKzSc4++hNcbZE2KOVLx9k3d2idwWdJ0U/eQUkX5rwbOjWnTlxnpVyIZwS/Fgr5AVI3NcCURJXe/JEqKSX46wciRgbXhbOXL3ZJgjdbXrVbEnPh8zztnfM/tyz6b9P3Vb0/ZhHW8/V4H6vMl1ROaGFuZaOLlKKGfnkOlMaJ9v1qec7WNCxeOGYfvIvBUv18Kfe0ih/aCaESe50QLKRzPKOdd8O6Q9dFCJaFyNCdc07LT4Zmy7LkervmtcPueMJZx6Ag5Mx1X757shWz3fFhwbZoFZ+9AaWZHtKLOE61olTb5Au0DaloXNP98Ut77nlJxVh/b/MB2Uja/2d44MJ+bbt7YUpY44O/RPz/c2reofqhZzLQ77XPjKwROuhyV0teFHo3j/PZEPsZ+znQvj+Pyw+VJqUewxDUfpcZ+u3sc8ed2DUOZLRKIiQiXyXZi+KELJvAT9o+sVDu1IBGiPemiR4nOUyUq39SIlT2hCFdAeKTPRG7FEXiIU27KwpHnFGNuBSYlsr5InQmgXOKs+c5VVzo8hqt9WSl7Zqh1fo+bUeVch9feOOT836sGmYTu2S4Rl48EK7UC0oQTfzN9zv31F5FsYNg9yoYqc8vSEW0KOcH2oootoc6053+KxfufysY/EYfYerPCw9nMYUvHMiSDzJSIxDa88C+3Yak4520KjD/8V4GYz89MnYM9VctbJSKVCkyNaqyR2jFsT47eGKboqC/2thVjJ5bC6jxYh6jnWF7+0a65J64lI7XnCtQTiJ8X4gqmwhORJa8iIjQltH+251n+PLvs+n6wNq4jtPQ+x7Vsh1u9cRarw4RSvQnPKc6hytml4QsyFcXR/7nkvVUbeRu7YJHNO7tyuSslXiN6u/l4QocfQxCWjNYolp2r9KACFL2y2INpV1uwDvWeuKz0cXslaYrQdZLZ56Emw9MQc0iZW2wJQJW3vxZ/jScqr/glt0rLNbavUcyGZQ9qhISgXYp9GblSFLYT2f/L54wuzv39Psjn7/j8ttbgUev2Y8n/llW0fUVkF68Me9nybZkkll/yZByV1nLOleZprJXU9y3ptX+WmdrzKz9n3z8aClXkMTVwSVJk3o1ieY6qa7YPum2KWoFVp75hjlqDsQ21jzqVOJrWhCjYXEx4SSvDka8+3BG1t7dOuvHxl4pv6uHOVKOyoDXue7VS09n1LqEsdQ/7xs5WEjzt7ZTuEAGAax56Qn86eU7ZWsXqfc62NkTvfx7RzyrNE7HbSkz9mn1m/39vM2S+FO2y+5475MtBF8jm7vlWhx6yNXH7b/CyRcemcHKEvANEBumQ0I0FsR1lXIbeq0HZS6nm5+CNmOzehJwdLEt4X26EF+VDCEIXuh3spYeXiwn69FHvcw6t5TfOsS9Orz1xMW6+Fdt5D+zG0la6Nddt76KpArR0L3zLLkUZJwfnnyKp/f54lrr40SpWCz4OhhJgjXXtOSdlOmE1XUSLarmcyR7wl1Z67BzLn9aVn07A27bULVOYLMrVIbAeZJ8xoELv8p22G9oVZVG1b5ZNTaHrMEm4JSrb6DVPFZjsP7fk5Qu+CJVxrJ1covbLV/Tm/FblOPp3A0qU+c/fm/c5t50ILNo1STNirs1JzP3esi2y7WhZ+X45IrF2fRu7cPtLLHesiwxJpl6Dn9N1DzncG2Pco/Q9+n9rW46X/uauV3HV8DkTMfMloxj3bjj1PJpZQ/TElOv2dU5hjd+zQfDw0PU+2OpzKN/X1mLdt7Xn7ei+e7HLKqY9sSygVWJuHOUKHchq+sukientOTtX6631BL53jUSJbf02X32pn3lBCyUZJ5XrkWgAl+16ld9nLXTfEd2t/iP99JF6ynUMu773tYyJi5ktG878N6TxU+DhzLgZsx2KXevn7nPJjYEsqwSvPIemU7sdWPj5NrWD6bJeO5a4rEbr3sc++J0O7fwjpz3PcootsuyqLPpIYQrTehrffl15fSCFXEZUqjBIZlmyX4P3tI/U+Is/Zttf50F3O7hDbAxFhliWh1SHhR7F4lOKOvgJQIi91Euq+edVtX+ihr4k/JJ2cIso1k0t+WBve9pC0h/hv7Q9RTTmyLV2bU/5DFWIXkefs9SnQoURb8mdo2KJEhrm88jHmPsLtItpcRWTPzfUvlP73vrRzz2Op/8JjgewbMfNVQMeDz6MEhxwvPXQlgulC13mHA87xKIVBulom8/ir14zddlcoZB7YAu/JUW3ac3PbQ+yXwi/z2ivB+txHSl37crb6iukQIh8CT/Z9ZDtUBHj/j1pWvO2SfY8FM+/1/nKKpaL1qucuRaXIdZp4gvOTR+yD3qcMc/4MgSeredTtkLS8vaM0l/vO1XTIbHdhXnU71J5ePySGO0SVe/tdTf6cjaHPQ8n/LgzNp1zFU+pfyNmex34pjS7bXfZLhJ6zvyT5HMp8iWjI/KjhCerrfOilFFs+qv2h5wwJJVioP32hBB8K6bM9JFzhRz7ME1ctxYNz95FTn0Pi1aWhdprOImKqQ5v8x1HNfQp0Xr+HEO7QluoQ+1325rWfsz3U/rz5XkCQ+RIxcyc5QrDE0/cw2Bh6KSwx9MHwoYS+c+chRO/PPB1NQ2ELei7u6u0elRCHxD+PWoqGKNB5yXZISMHbHWq7ZH/odUexPySNo4bnhp4/77lD7S+IxCGGJi4VifpOSjk8pvtPVwWe22dJPZfGPGEQr0SHqOg+dKlbf968tnM+LVp9Do0PL5oQh1auR7Xfdf5x7A85f1n2j8JgQ0n3qOzYZ38JrBtDE1eJ495Wjvj64n596Irb9oU65k2j67plqc+j2O6z0eXTPJhXgS6LEI9DWMsiwyH2F0GIQ/oTFmF/BYgO0CWiUeb2QSndWqkjyRO4D7OQ2c5dmzvWpZJzGBoTzqWxDLI9anP/qPb7zl1mGsuyf1yy6VKgiyTbZWMD4xPzIsIsq4In9BzxdA0h68K8TV5/3aqGUeXSWWWPzVGb40fJ20ViEYS7LLJdhq3AkRFhliWhUebQXs0Pum+xq7PKq+NFFaJ5OkPnwTzqeZmxz+NgXeo2yDYwB9YwNFFEbk0pfbvrnBtW5cxqMDLfttNz3jqrL2zS1SE6xGauw3UeHxZ5zSLT8HlzVPvexiLs5uwt2m7guoCS+ZBPD0RkJCIfFpH7ReQjIjIyxy6KyFMi8lXgoT5bW6bMhVkCn4fQlx0bHopldWYtiri8wl0GIQbJBjYUi42Zvxs4SCl9SkTuBB4Afrk+9h7g3pTS14cY2g5l3poBasMsXQReGt0wj9JeNDnOk/4Qe/Z7WYQbpBu4zpCAFwZ++nEv8FS9/TRwnzl2G/A5Efm0iLysz9B2kHkLY/fJHe9DaZLQcdE1imYZoYRSmoFA4MiYL8xyUUSeNJ8HnbULwLfq7W8CtzbJpPRB4C4qsv+xPre2I8wCZh7OqN6w8XMPHeWSm86dQ3SQBQKBGvOFWS6llO7pOg7cDvx2/f1cK6mUJiLyMeDn+xLaDmWuYZYWb4/9jgL6lPoGLsIQCATWB50BOuTTj88Cd9bbdwGfF5HbpMLpev+dwBN9hraDzBXNxKESkQ8NsQQCgUABCxzNAvwicE5Efhi4CfgK8DCVSv+yiHwI+DPAv+gztB1hFs3chsz96+FybaK+tVEshoZjAoHAdYEFab6U0gT4WP3zsfr7gfr77nlsbQ+ZQ303doy5jZ0HAoHAAhBrsywZM8r8KDMVI8QSCAR6EC+nWCJamTsCdmi/Qd7nfIRNAoHAERFkvkS0Jg35dVmOcouW6OeJrQcCga1HrJq4ZLQWCvQThrbnNgOBwAZgA1dN3K6hiROYqvGjxs0DgUCgB2ngZ4XYDjJvxbDsYlt9r4sLxR4IBLYDG8NmInI/cHdK6aMichvwXqqFZ16WUvq3vQZmwtp2aGJ0eAYCge3GRihzEXkt8CYqWQ3wz4HHU0q/AvyQiPzJTgPanGkIfehU/i5Ep2cgEMhBe0CHfFaHtZO5iJwB3gZ8zuz+a1SqHOAZ4K92GskOFbIrJ25MAyQQCJx4LHY+/6KwdjIH3gV8wu0bpZSu1NutZSEVIvKgLivJ5I9d3i1j5md0pgYCAdhUZb4yySoi9wI/7nafA14FvAO4SLX279eBQxE5l1LapVpw5il3HSmlR4BHAGTnnirQMlMR2jVa9tmMlwYHAoGTjZeo+GSzsDIyTyk9DjxeOi4ibwPellL69yLyV4DXU63x+3rgZ3sTUCIfARM7ikWJPBAIBBaBzZw1tKnB5A8B7xWRO4BPp5SeGXRVNm4Om3ubgUDgZGLzBkhsDMullL4AfKHefhb4p8MvxvU55N40VBqe6Kfrd9W4McQxEAiEMl8eLJln4ePkm/dHBAKBk4LNXGlrO8g8C7sUbsTMA4HAohDKfHmYqShzI1ZGbOIfEAgEThqu89Es60MsuBUIBBaJCLMsD8W8jRBLIBBYNCLMsmbYiUPzIl5QEQgEFKHMl4dEvVi8X0B4yO1t3p8SCAQ2GaHMV4Tc+z5jKdxAILAoJDYxfLsdZN4I8gnHW39lCNGr7agUAoHrE6HMV4RS2CRGtAQCgUUgYubLQ6PMddlJO4W/hNYboAOBQGAgQpmvCLl5/X6I4sR9BwKBwFCEMl8eWjFzyNea2hFaqlHnrWmjMzUQuD4RynzJUEa3mXzUDN+8WjcQCGwKFjedX0RGVEt+/x7w/cDHU0qT+thbgTcANwJfTil9qcvWFpE59L+qKWaEBgKB42KhYZZ3AwcppU+JyJ3AA8Avi8gNwMPAG+vznhCRN6WU/GSaBpvwDtAFwa9JvnnNoEAgsA1Y6DtA72X6Wsyngfvq7TuBaymll1JKL1Ep0Tu6DG2JMv/vu3D6D9bsxEXg0pp9gM3wYxN8gM3wYxN8gM3wYxN8ALjreJf/0WfgIxcHnnyjiDxpfj9Sv79YcQH4Vr1tX15v99tjXysltCVkzh+klO5ZpwMi8uS6fdgUPzbBh03xYxN82BQ/NsEH9eM416eU7l2UL1SV2+1U7zu+HXjO7VfYY1lsUZglEAgEThw+SxVSgarF8HkRuY0q9DKSCjdQCe+nuwwFmQcCgcD68IvAORH5YeAm4CvAw3VH5weA9wHvBx7q6vyE7QmzPNJ/ytKxCT7AZvixCT7AZvixCT7AZvixCT7A5vhBPQzxY/XPx+rvB+pjXwS+ONSW9JB9IBAIBE4AIswSCAQCW4Ag8xVARG7tP2sh6ZwRke9bRVpH9WNVeXESEHkxReTF8bHxZC4iIxH5sIjcLyIfqae/6rG3isj7ReQDIvIDpX1r8uOiiDwlIl8FHlqBD68Afg74u11+rcmPVefFu0Tkd0Xk6yLylnrfOvIi58eq8+IdIvIrIvIZETlf71tHXuT8WGle1MdFRD4pIq+tf/9NEfk7IvITUs3APLlIKW30B/h7wI/W2x8E3lVv3wD8Tv19A/DfgFOZfbIGPwT4x8Adq8gLc/w9VGs7FP1atR/175XlBXAaeGe9/RDwn9eRFzk/1pAXI+DP1tsfpppduI68mPFj1Xlhjr8T+DXgtcA54Ev1/ovAZxbpy6o/G6/MmW+665/K7OucArskP+4AbgM+JyKfFpGXLdkHhe3Nnns68JL8gNXmRQJ+td7+TapZdOvIi5wfsMK8SClNUkq/IyJj4AzwBdaQFwU/YMVlRETeSDWTUmehvhX4o3r7OeCe2scTiZNA5vNMd315Zt+iYnFzTbtNKX2QahLAU8CPLdmHvnOHnL8sP1hlXqSUDlNK1+r9PwD8K9aQFwU/VpoXAFJNOPn7VGGve1nTc5HxY6V5ISK3AK9LKf1W7txUyfP/Q6XQTyROApnbaa19013nngK7JD+eg9YY0jcs2Ye+c4ecvyw/gNXnhYjcBfxhSul/sca8cH4Aq82LWoH/HPB24G+zprzI+KH7V5UX9wHvFpFHgb9MNdZ8RDsvvgf4zoL8WDlOApnPM9117imwS/LjaRE5XZ97J/DEkn3IYR15MYM6/ZXmRf39upTSr4rIOeAKa8gL74eI/Ik15IXU+xPwW6zpufB+rPq5SCn9Ukrp/pTSO4BfBx4EPgm8qvbvAvA/U0oHC/Jj5dj4SUN1b/RPUHXa3E3VofWhlNIDIvIXgT9NVSn9j5TSb+T2rdoPqpXNfmvBWIAAAAJ8SURBVA34BHAZ+PlagSzTh1cA/5qqWfmelNL/XVNetPyo015ZXlB1gH2eqnNLcTfwFlaYFwU/fgh4lNXlxXuBTwP/gWoh/0+klPZW/Vzk/ABewYrLiDnnF4CfSil9Q0QeoOqsfhXwmG1BnTRsPJkHAoFAoB8nIcwSCAQCgR4EmQcCgcAWIMg8EAgEtgBB5oFAILAFCDIPBAKBLUCQeSAQCGwBgswDgUBgCxBkHjjxEJELfqnTI9j4nkX5EwisA0HmgRMNEfle4O0LmD14XkTesQifAoF1IMg8cGJRr/fxk1RTwo+FlNLTwGtO/AsKAtctgswDGw8Reb2I/IaIPCYi/8wcugc4lVKaiMg7ReS/iMhPishvi8jfEJGfEZFfqm10Hq/xJPAPV3lvgcCicKw4YyCwInwnpfQXROR+qgWbFH8OeKbe/grwipTSR+sXHXwv1Rt+vl6vDth5vH5Rw/8G/vyK7ikQWChCmQc2HimlSyJyN/D7KaVDc+gccLXevgbosSvAi/ULB4RqVby+41CtZX1haTcSCCwRQeaBjUetpF+ZUvqaO/QN4DWly/rMZva9GvjD+bwLBDYDQeaBk4CfBe4TkVMi8nqz/3Gmb4r5S8DtInIH8P3AD9adma8E3jjgOFTvwnx06XcTCCwBsZ55YONRvy3ozcDLgGdTSv/VHPtHwKMppWdK1w9MQ4CfAn46pfTd49gKBNaBIPPAiYaInAL+FvAfzQuUj2LnB6ne1fnNhTkXCKwQQeaBQCCwBYiYeSAQCGwBgswDgUBgCxBkHggEAluAIPNAIBDYAgSZBwKBwBYgyDwQCAS2AEHmgUAgsAUIMg8EAoEtwP8HgkyNnys6xqkAAAAASUVORK5CYII=)
%% Cell type:code id: tags:
``` python
```
%% Cell type:code id: tags:
``` python
```
......
This source diff could not be displayed because it is too large. You can view the blob instead.
......@@ -136,7 +136,9 @@ class Solver3d():
u[:, 0] = boundary[2]
u[:,-1] = boundary[3]
self.u = _solver.step_ACF(up, rxp, ryp, rcp, u, rx, ry, rc)
# the C++ functions use Eigen3 internally, which requires C-Major data storage
u_T = _solver.step_ACF(up.T, rxp.T, ryp.T, rcp.T, u.T, rx.T, ry.T, rc.T)
self.u = u_T.T
return self.u
......
......@@ -110,38 +110,34 @@ namespace finite_differences{
// Two-step alternating-direction Peaceman-Rachford scheme (J. W. homas: Numerical Partial Differential Equations)
const array_2D step_ACF(const Eigen::Ref<const array_2D> up,
const Eigen::Ref<const array_2D> rxp,
const Eigen::Ref<const array_2D> ryp,
const Eigen::Ref<const array_2D> rcp,
const Eigen::Ref<const array_2D> u,
const Eigen::Ref<const array_2D> rx,
const Eigen::Ref<const array_2D> ry,
const Eigen::Ref<const array_2D> rc) {
const array_2D step_ACF(const Eigen::Ref<const array_2D> &up,
const Eigen::Ref<const array_2D> &rxp,
const Eigen::Ref<const array_2D> &ryp,
const Eigen::Ref<const array_2D> &rcp,
const Eigen::Ref<const array_2D> &u,
const Eigen::Ref<const array_2D> &rx,
const Eigen::Ref<const array_2D> &ry,
const Eigen::Ref<const array_2D> &rc) {
// rx and ry differ by a factor of 1/2 from the definitions in Fuhse et al. (2005)
// .p : i
// . : i+1
// TODO: interpolate for half-step?
// TODO: ausrichtung überprüfen!
// coordinate system:
// numpy (z,y,x), eigen (rows, cols): x <-> cols, y <-> rows
size_t nx = u.cols() - 2;
size_t ny = u.rows() - 2;
size_t nx = u.rows() - 2;
size_t ny = u.cols() - 2;
//std::cout << "nx " << u.cols() << ", ny " << u.rows() << std::endl;
std::cout << "nx " << u.cols() << ", ny " << u.rows() << std::endl;
// first halfstep
// x at i + 1/2
// y at i
// note: internal storage is column-major such that column-wise access would be much faster
array_2D uhalf_t = array_2D::Zero(u.cols(), u.rows()); // transposed shape
array_2D uhalf = array_2D::Zero(u.rows(), u.cols());
#pragma omp parallel for
for (size_t iy = 1; iy <= ny; ++iy) {
......@@ -150,26 +146,27 @@ namespace finite_differences{
array_1D r = array_1D::Zero(nx,1);
for (size_t ix = 1; ix <= nx; ++ ix) {
m(0,ix-1) = - rx(iy, ix - 1);
m(1,ix-1) = 1. + 2. * rx(iy, ix) - rc(iy, ix);
m(2,ix-1) = - rx(iy, ix);
m(0,ix-1) = - rx(ix - 1,iy);
m(1,ix-1) = 1. + 2. * rx(ix, iy) - rc(ix, iy);
m(2,ix-1) = - rx(ix, iy);
r(ix-1) = (1. - 2. * ryp(iy, ix) + rcp(iy, ix)) * up(iy, ix)
+ ryp(iy, ix) * (up(iy - 1, ix) + up(iy + 1, ix));
r(ix-1) = (1. - 2. * ryp(ix, iy) + rcp(ix, iy)) * up(ix, iy)
+ ryp(ix, iy) * (up(ix, iy - 1) + up(ix, iy + 1));
}
// boundary conditions
r(0) += rx(iy, 0) * u(iy, 0);
r(nx-1) += rx(iy, nx+1) * u(iy, nx+1);
// TODO: use interpolated values?
r(0) += rx(0, iy) * u(0, iy);
r(nx-1) += rx(nx+1, iy) * u(nx+1, iy);
uhalf_t.col(iy).segment(1,nx) = algebra::tridiagonal(m, r);
uhalf.col(iy).segment(1,nx) = algebra::tridiagonal(m, r);
}
array_2D uhalf {uhalf_t.transpose()};
// second halfstep
array_2D u_new { u };
// note: internal storage is column-major such that column-wise access would be much faster
array_2D u_new_trans = array_2D::Zero(u.cols(), u.rows()); //transposed shape
#pragma omp parallel for
for (size_t ix = 1; ix <= nx; ++ix) {
......@@ -178,20 +175,22 @@ namespace finite_differences{
array_1D r = array_1D::Zero(ny,1);
for (size_t iy = 1; iy <= ny; ++ iy) {
m(0,iy-1) = -ry(iy-1, ix);
m(1,iy-1) = 1. + 2. * ry(iy, ix) - rc(iy, ix);
m(2,iy-1) = -ry(iy, ix);
m(0,iy-1) = -ry(ix, iy-1);
m(1,iy-1) = 1. + 2. * ry(ix, iy) - rc(ix, iy);
m(2,iy-1) = -ry(ix, iy);
r(iy-1) = ( 1. - 2. * rxp(iy, ix) + rcp(iy, ix) ) * uhalf(iy, ix)
+ rxp(iy, ix) * ( uhalf(iy, ix-1) + uhalf(iy, ix+1) );
r(iy-1) = ( 1. - 2. * rxp(ix, iy) + rcp(ix, iy) ) * uhalf(ix, iy)
+ rxp(ix, iy) * ( uhalf(ix-1,iy) + uhalf(ix+1, iy) );
}
r(0) += ry(0, ix) * u(0, ix);
r(ny-1) += ry(ny+1, ix) * u(ny+1, ix);
r(0) += ry(ix, 0) * u(ix, 0);
r(ny-1) += ry(ix, ny+1) * u(ix, ny+1);
u_new.col(ix).segment(1,ny) = algebra::tridiagonal(m, r);
u_new_trans.col(ix).segment(1,ny) = algebra::tridiagonal(m, r);
}
array_2D u_new {u_new_trans.transpose()};
return u_new;
}
......
......@@ -11,11 +11,25 @@ using namespace finite_differences;
PYBIND11_MODULE(_solver, m){
m.def("step_AF",
&finite_differences::step_AF
&finite_differences::step_AF,
py::arg("up").noconvert(),
py::arg("rxp").noconvert(),
py::arg("rcp").noconvert(),
py::arg("u").noconvert(),
py::arg("rx").noconvert(),
py::arg("rc").noconvert()
);
m.def("step_ACF",
&finite_differences::step_ACF
&finite_differences::step_ACF,
py::arg("up").noconvert(),
py::arg("rxp").noconvert(),
py::arg("ryp").noconvert(),
py::arg("rcp").noconvert(),
py::arg("u").noconvert(),
py::arg("rx").noconvert(),
py::arg("ry").noconvert(),
py::arg("rc").noconvert()
);
}
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