{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Upgrading and a Tour of v0.17\n", "\n", "This notebook provides a tour of prysm v0.17 and demonstrates the new features and updates made in this release. It also serves as a guide to upgrading your code from v0.16 to v0.17. In general, if you use prysm as an embedded modeling or analysis tool you probably need to make few to no changes and your code will still run and produce the same outputs. One-off scripts will probably require changes. In practical terms thsi really means your old scripts will need to be pinned to v0.16.1 and new scripts can use v0.17 since there is little reason to upgrade old single-use code. This can be done by creating two virtual (or conda) environments with each version of prysm, and just activating the one containing prysm v0.16 if you need to look at your old code again (identifying it by looking at the last modified or created date).\n", "\n", "\n", "We begin as usual by importing a few things:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from prysm import sample_files, Interferogram, NollZernike, PSF, MTF, config\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [release notes](./v0.17.html) for this release may make it seem like all of your code is broken by upgrading to this release. Here we hope to quell some of that fear, and show that the core functionality of prysm still behaves the same (and is even a little bit faster).\n", "\n", "## Table of Contents\n", "\n", "- [Guide to Upgrading](#Guide-to-Upgrading)\n", "- [New Features](#New-Features)\n", "\n", "\n", "## Guide to Upgrading\n", "\n", "First up, propagations still work the same:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/bdube/Open Source/prysm/prysm/_phase.py:46: UserWarning: opd_unit is deprecated, please use z_unit\n", " warnings.warn('opd_unit is deprecated, please use z_unit')\n" ] } ], "source": [ "# this looks the same as it always has and causes no errors\n", "pu = NollZernike(np.random.rand(36) / 8, opd_unit='waves') # opd_unit => z_unit (see warning)\n", "ps = PSF.from_pupil(pu, 2)\n", "mt = MTF.from_psf(ps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to poke and prod at the data, you will encounter changes. In prysm v0.16, you might have done something like this:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# visualize the pupil's OPD errors\n", "pu.plot2d(interpolation='nearest') # still mostly works the same - some changes to arguments\n", "\n", "# visualize the PSF in 2D\n", "ps.plot2d(xlim=20, power=1/3) # still mostly works the same- some changes to arguments\n", "\n", "# the 2D MTF, the same\n", "mt.plot2d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The changes here can be summarized as:\n", "\n", "- `interp_method` => `interpolation` in plot2d kwargs\n", "- `power` is passed directly through instead of being inverted first. v0.16 `power=4` => v0.17 `power=1/4`.\n", "- `axlim` is no more on `PSF.plot2d()` - use independent `xlim` and `ylim` args. `ylim` is adopted from `xlim` if `ylim == None`, and limits are symmetric single values are given, so `xlim=val` functions the same as how `axlim=val` did in v0.16.\n", "- some of the finessed plotting features on PSFs were not used, and work differently (using the `prysm.plotting` module to enhance the basic graphic)\n", "- the axis labels for MTF appear differently, due to the use of astropy.units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the upside, all three plot2d methods are identical (they are actually `RichData.plot2d()`) now, so there is no need to memorize the differing idiocyncracies of the various `plot2d` functions throughout prysm. If you wanted to get at some 1D plots, things have also changed.\n", "\n", "You might want to slice the PSF:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/bdube/Open Source/prysm/prysm/_richdata.py:401: UserWarning: .slice_x is deprecated and will be removed in prysm v0.18, please use .slices().x\n", " warnings.warn('.slice_x is deprecated and will be removed in prysm v0.18, please use .slices().x')\n" ] }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# we're not going to do anything with this, just showing it still works for now\n", "x, val = ps.slice_x\n", "x, val = ps.slices().x # this is the new syntax, still not going to do anything with this...\n", "\n", "# ps.plot_slice_xy() # <- this will error and does not exist anymore\n", "ps.slices().plot(['x', 'y'], yscale='log', ylim=(1e-7,1e0)) # <- this is the new (equivalent) syntax\n", "# albeit with a little bit extra to do lot axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or you probably want to look at the MTF in 1D:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/bdube/Open Source/prysm/prysm/otf.py:165: UserWarning: .tan is deprecated and will be removed in v0.18, please use .slices().x\n", " warnings.warn('.tan is deprecated and will be removed in v0.18, please use .slices().x')\n", "/Users/bdube/Open Source/prysm/prysm/otf.py:174: UserWarning: .exact_tan is deprecated and will be removed in v0.18, please use .exact_x\n", " warnings.warn('.exact_tan is deprecated and will be removed in v0.18, please use .exact_x')\n" ] }, { "data": { "text/plain": [ "array(0.46429075)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# this won't run anymore\n", "# mt.plot_tan_sag()\n", "mt.slices().plot(['x', 'y'], xlim=(0,200)) # this is the new syntax\n", "\n", "# this warns for now, but will error in v0.18\n", "mt.tan # not going to do anything with it...\n", "\n", "mt.exact_tan(200) # ~0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We won't show anything for plotting the pupil in 1D, since that is a fairly corner-case usage. The changes are identical to the ones to `PSF`. Of note is that:\n", "\n", "- much the same as with `plot2d`, 1D plotting (and access) is now univeral with a single API for all objects\n", "- `.slice_x` and `_y` if they existed now warn and point to the modern syntax\n", "- `.tan` and `.sag` do the same\n", "- `max_freq` is no more and is replaced with `xlim` under the universal plotting grammar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Turning to working with interferometer data, we can load and touch up an interferogram the same as always:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "i = Interferogram.from_zygo_dat(sample_files('dat'))\n", "i.crop().remove_piston_tiptilt_power()\n", "i.plot2d()\n", "i.fill()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The only substantial changes here are to working with PSD and with plotting. Plotting changes are the same as for above so we will not go over them. For PSD in 2D:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# v0.16\n", "# ux, uy, psd = i.psd()\n", "\n", "# v0.17\n", "# PSD objects are descendants of RichData like anything else,\n", "# and `.psd` returns an object instead of the arrays themselves\n", "# the object brings PSD into the core vocabulary of the library\n", "psd = i.psd()\n", "ux, uy, psd_ = psd.x, psd.y, psd.data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is probably somewhat unusual that you want to directly access the arrays, but they're in the same place they are on any other prysm object. If you wanted to plot in 2D:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# v0.16\n", "# i.plot_psd2d()\n", "\n", "# v0.17\n", "i.psd().plot2d(log=True) # could use the psd object above, too..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or in 1D:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/aUUa011DWOl0NYx4Dho2937dv0FKOPEXbJwLTs5xOxEdYdAsrZKuwafU23yx5QRzljr+A8276SJGdG5SoS0UFFsY+up6krM1U9Ts4R2Y1SIOvpzkWDT6Teg91eW6FXEreGLjExRbbU1/pJ7C5LGYMvsR7Gdg1X2X0Dw0oEJ7UNQtnCOQWj2y8pw9J/7Fq0o999///pfCwkIKCgpo1qwZjz766DnbhzdUFJbClfbD4a5NcPnTWhHCEvb/CO/0gQ0vg8mzaVWVsFpg/zKYPxw+udJTeLQcBFO+0fbT4/oyhQfA9X1bMMpJYDz0/W6SsgoqtJVP/oq3C4/wIF+mX9IaOozUsvdLOLDM47rRbUbz8aiPCfe3Nf4RFvyiluIb+QM5RQXc8+VOis11ILpNUSd5/PHH+fXXX9m+fTsPPfRQTW+nXJQAqQ8YfLRv/Pdsh65O38DNBbDuOXi3r1YuvaraqKkQtn+sCaTFN7klOQqIHQPTfoOpqyBmlBaGXAGEELw4oStRIVohxMx8E7O/2YWlnNDas3nFvLfeoXHdP7w9gb62bPSLnDSOZO/mgW4R3fjqqq+IDXV8E/MJ3Uxg67nsSd/NSz8frND+FYrKkpGRQW5uLjk5ORQWVtMXu3OIMmHVR05sgp8ehOQ9rvNth2nZ7OHtK3afgrOwbQFs+RDy3KK89D7QfQoMvLfi9yuFLXHpTPloMyVy4z8jOnDPZaXf89kV+5n/53EA2oQHsnr2pY7SJFYLPB+tCU+A/xwptflUvimf/278L7+e+NU+J6XAlHExr1/+MFd1bfmvPpeidlEbEgnHjh3Lddddx/Hjx0lKSuKdd945r89XJixF+bQcADM2wFWvgV9Dx/yxNfDeAK2UfFEZobOZCfDzY/B6Z1j7jKvw8AvRmjzdvxfGvvWvhQdAvzZh3OskMN747Qg7TmR4XZuQkc9nm07Yxw+OjHGta6XTQ2Qnx/hM6U7KAGMArw1+jScGPEGgUStYKYTEJ+wPHtk8lV+Oba7iJ1IoPPnss88wGAxcf/31PPLII2zbto21a9fW9LbKRAmQ+opOD32mw707bWYdW8kOq0lzfr/dG3YvdjVrndkHS+6At3rA5nftTa8AaBANI5+H2ftg+BMQHFmt2733snb0aaVFUVmskvu+2kVWgWdI8hu/HqbYovkoerZoyKguXpzukU71wkoxY5UghGBih4ksHbuUPpGO7HV8Uvm/P2bw8tZXKDTXflODovZz8803s2TJEkDrYrhlyxYuu+yyGt5V2SgBUt8JDIMxb8KM9dDc6QWZm6y1hv34CtjzHXw+Ed4fCLu/BqvZsS4iFq75AO7bBQNmgu+56dNs0Ot487qeNPDTfBmnMgt4bMkelwS//aezWbrrlH386BWxXluE0qSr47gMDcSZqKAoFoz8iFs7PIi02HJshGTRgc+4dvm17ErZVfkPpVDUcZQAUWg07QG3rYZxH0KQk/ZwchN8Pw2O/uq6vuXFcP23cPcm6DGl3Iiq6iC6oT8vTehmH6/ck8Ti7Y5SJy/+fNCuMA2PbUzf1qHeb1QJDcQZIQT/N+Bmbm35DuZch0ktPjuem3+6mVe3vaq0EUW9QgkQhQMhoPt1WrTWwHtB597iVUDsWJi+Bqau1Pq4n4MeJGVxRVfX3ulPLtvP0ZQcNh5N4/fDWmVinYCHRnUs/SbOPpC0Q2AurtQeHhjaj34BD1OYNN6ujUgkn+7/VGkjinqFEiAKT/wawIhntXyNDqMgIFzzk9y7AyYvgmZeAzLOG/+7qhPtG2s5LQUmC/d+tYsXfnJkqk+8qBkdIsswpfmFQEObELKaXYo5VgSdTvD6pJ6EWS8lL2425tx29nPx2fHc8vMtvLb9NaWNKC54lABRlE5EB7j+G3jomOYnqWQP9nOFv49W6sTHVurkQFI2e09lA+Br0DH78gr0EIl08oNUwoxVQmigD29f3xOdtREFCdMoTBqHQWj5KlZp5ZN9nyhtRHHBowSIok7SsUkD/neVZ8z+bRe3JirEv/wbOHdurKAj3Z0+rUJ54PIOgMCU2Y+8uNn0dYrUUtqI4kJHCRBFneXG/i25vJPD4d8wwMidgyuoJUV2dhy7J1RWgrsGt6WdzZxWXBjClBbP8viAxwkwaPWynLWR7ckqiVVxYaEEiKLOIoTg5Qnd6NYsBKNe8Nw1XQnxN1bs4kg3DaSKFRl0OsGwjo5M9g2H07i2w7UsvXop/aP62+fjs+OZunoqj/7xKKn5qd5upVDUOZQAUdRpGgX68MPdgzj0zBVc1S2qEhe2dhSXzE937U9SSQbHRNiP1x9OQUpJ06CmzLt8nos2Alq13zE/jGH+nvlKkChc+N///sfcuXPt4zlz5vDWW2/V4I7Kxz1OU6Goc+h0VQgl1umgcSdI3KqNk/dCcMVKxbvTu2UogT568ootJGQUEJeWR9uIIIQQXNvhWi6JvoRXtr3CLyd+ASDPlMfcnXN5+++3GdB0AGPajOGyFpfhb6iA70Zxfngy5BzeO8vr9LRp0xg/fjyzZs3CarXy9ddfs3Xr1nO3j2pAaSCK+ouzH+RM1f0gPgYdg9qF28frD7lqFk0Cm/DakNeYd/k8WjVoZZ+3SisbT23kkT8eYejiofxv4//YlrxNtc+tp7Rq1YqwsDD+/vtvfvnlF3r27ElYWFhNb6tMlABR1F9cIrH2/atbDYlx+EHWH/Lef35A0wEsGbuEZwY9Q58mfVzO5Zny+OHoD9y2+jYmLJ/Aj0d/xFRT7YcVNcb06dP55JNP+Pjjj7nttttqejvlosq5K+ovJ7fAwhHacUQszKx6dd3TmQUMfFGrnOpj0PHP4yPw99GXfU3uaVbGrWTZsWXEZ8d7nG/s35hpXacxscNEfPTnvlRMfac2lHMvLi6ma9eumEwmjhw5gl5f9r+h6qbelHMXQlwjhPhICPGjEGJETe9HUQdxKWlyuGqdGYvz4Nhamvqb6RBpC+c1W9kUl1bupU2DmnJ7t9tZds0yvrzySybHTHbxg6QUpPDC1he4aulVLD60mAJzxboxKuouPj4+DB06lEmTJp134VEVapUAEUIsFEKkCCH2us2PEkIcEkIcFUI8AiCl/EFKeTtwKzC5BrarqOv4BmvRWADSAqlV6DT4zU2waBx8MpohHZyisQ5VPMJKCEHXiK78t/9/+XXir8zqNcvRUhdIzkvmmc3PMOzbYby09SWOZx2v/D4VdQKr1crmzZuZNm1aTW+lQtQqAQJ8AoxynhBC6IF3gSuATsAUIYTTV0f+azuvUFQeF0d6Jf0guSlaEy6ApF2MjHb4LNYfSq2SMzzEN4TpXafz0/ifeKjPQ4T6OSoK5xTn8PmBzxn7w1im/zKdX0/8SrGlcoUgFbWX/fv3065dO4YNG0b79v++Edv5oFaF8UopfxdCtHKb7gsclVLGAQghvgauFkIcAF4EfpJS7jyvG1VcODTpCgdXaMeVLWlycpPLsJv/GXs478mMfI6n5dEmIqhK2/Iz+HFTp5uY0H4C3x7+lm8OfUNCjqN0/ZakLWxJ2kKQMYjLWlzGNe2u8XDMK+oWnTp1Ii4urqa3USlqmwbijWggwWmcaJu7FxgOTBRC3FnaxUKIGUKI7UKI7ampKnFL4YZLb5BKhvKedHW6G9MPM7CMcN6qEGAM4JbOt7Bi3Ao+GP4BQ5sPRScc/21zTbksO7aM21bfxtSfp7IhYQPJeclYpfVfP1uhKI9apYGUgrcsMSmlfAsoN01TSjkPmAdaFFY1701R13EvqihlxXucuGkgpB5kSMwYft2vZbWvP5zKbRe3rpZt6oSOQdGDGBQ9iOS8ZL47/B0r41aSmJtoX7P9zHa2n9GiDI06I438GhEZEMn49uOZ0H6C9+6MCsW/oC5oIIlAc6dxM+B0De1FcaER0gJ8bL1DCs5CTlLFrivKhaTdrnOph1zyQTbHpVNQbKmmjTpoEtiEe3rew6rxq/h69NdMaD8Bg3D9LmiymkjJT2FP2h6e2vQU9669l/SC9Grfi6J+UxcEyDagvRCitRDCB7gOWFbDe1JcKOh0bpV5K+gHSdymRW45k3qI6BA/e7OrYrOVzXGVf2kXFFtYtPkEn2w8jslSuilKCEHnsM48OfBJlo9bzg2xN9AtohuNfBt5rN2QuIExS8ewcO9C8kx5ld6TQuGNWmXCEkJ8BQwBwoUQicATUsoFQoh7gNWAHlgopfx3acMKhTNNukCCzZ9xZo/Wqrc83M1XAEVZkHuGITERHEnJBbSs9KFO1XrLY0tcOg9/v5v49HwADp3J5YXxXb0vTj8Gfy+C9iNo1nIgj/R9xH6qwFxARmEGn+//nM8PfA5AjimHN3a8wdydc2nbsC3DWgxjYvuJRAZGer+/QlEOtUoDkVJOkVJGSSmNUspmUsoFtvlVUsoOUsq2UsrnanqfigsMF0d6BTUQbwIEbH4Qp7ImhyvmSM8rMvPEj3uZPG+zXXgAfLX1JGsPeqkULCUsvhn+fAO+uBbyM1xO+xv8iQ6K5uG+D/Ph8A9p2aCl/ZxVWjly9ggf/PMBI78fyXObnyPflO/+BIWiXGqVAFEoaoTIStbEspgg0akkTpuhjuPUQ/Ru1YgAWxmTE+laOG9ZbDyaxsg3f+fTTSe8nn/ouz1k5Lnle5za6Qg7Ls51hCJ7YWD0QJZevZQ5/eYQ0yjGJYrLIi18fehrJi6fyLJjy1TnxBrmmmuu4aKLLqJz587MmzePZcuW0aNHD3r06EFMTAytW2tBGU8//TR9+vShS5cuzJgxAyklBw4coG/fvvZ7xcfH061bNwBWrVpFx44dufjii7nvvvsYPXp0tey3VpmwFIoaIbITWrCfhPQjYCoAYxml1ZN2Q8k39oYtoO1lELdOG6cexNegZ2DbcH47YIvGOpRC63DPaKxCk4WnV+znyy0nXeYv69iYB0fGcPPCraTmFJGWW8RjS/bw/o29HJFU/3zlerN9P0Cvm0vdslFn5LqO13Fdx+vIN+Xzx6k/+PLAl+xM0VKoEnISmPPnHF7Z9gq3dL6FKR2nEGgMLP1vcIHT9dNSzIbVwJ5bSg8XX7hwIaGhoRQUFNCnTx82bNjArl27AJg0aRKDBw8G4J577uHxxx8H4KabbmLFihWMGTOG4uJi4uLiaNOmDd988w2TJk2isLCQO+64g99//53WrVszZcqUavssSgNRKHwCIbSNdiytkHKg7PXO5qsWAyCio2OcehiAITFllzUpKLYw7dNtLsIjxN/I65O6s+CW3sRGNeDlid3s537el8ySnae0gbkY9n7vcj95fIOHGas0AowBjGw1kk9GfcKzg54l2BhsP5dZlMncnXMZs3QsW5K2VOh+iurjrbfeonv37vTv35+EhASOHDkCwMsvv4y/vz8zZ84EYN26dfTr14+uXbuydu1a9u3TNOdJkyaxePFiAL755hsmT57MwYMHadOmjV17UQJEoahu3PNBysJFgPSHiBjH2FZPy1mAbI5Lp9DkiNjKLzZz2yfb2HjUEaE1snMkvz5wKeN7NbNrGUNjGnN9vxb2NU8u28epzAI4+hsUuAoLYTVj3l+6GcsbQgiubnc1K8av4P5e99M0sKnjYxSkcPsvtzN351xMVlVW/nywfv16fvvtNzZt2sQ///xDz549KSwsZM2aNXz77bd88MEHABQWFnL33Xfz3XffsWfPHm6//XYKCzXT4+TJk1m8eDGHDx9GCEH79u3PaX8ZZcJSKAAiu8L+H7XjsvwgUroJkIEQ0hyMAZpZKz8N8tJo1iicdo2DOJqSS5HZyqa4dIbGNCavSBMeW447BMB/RnRg5tB2XhP95lwZy19H04hPzyenyMz/Ld7FC+YFlBjEzsiGRIpMALJ3fEto79LNWM6YLVYMeu37Y6hfKNO6TuPixhMY/fGb+ET8jM6Qh0Qyf898Np/ezLSu0xjcfDBGixlWzwFzEVzxIv+kWHhi2T46RAbxwvhu6KvSHbIWUpaZ6VyRlZVFo0aNCAgI4ODBg2zevJkTJ07w/PPP8/PPP+Pvr5lVS4RFeHg4ubm5fPfdd0ycOBGAtm3botfreeaZZ5g8Wasx27FjR+Li4oiPj6dVq1Z888031bZnJUAUCqh4LkjaEa2HOoB/I7gPRiAAACAASURBVAjvoOWShLeHpH+0+dRDEBjOkA4RHLWF8244lEqfVqHc9vE2tsY7hMdDo2K4e0i7Uh8X6Gvg9ck9mPj+X1gl7I87SVPf9fb6DA+a7uAzn5cACEnaqJmxAkJLvR/AQ9/9ww9/n+buoW25f3gH+/yHG+IxZfbBnBuDX9RiDEFHAdibvpfZ62fTLKgZ/wnrw8U7FuAroUAfyLR/RpCWW8SuhEwGtA1jXM9mZT5bUTqjRo3igw8+oFu3bsTExNC/f3/i4+NJT09n3LhxADRt2pRVq1Zx++2307VrV1q1akWfPq410CZPnsyDDz7I8eNa1WZ/f3/ee+89Ro0aRXh4uIuj/d+iGkopFACZJ+FNm+PULwQePuG9pMmOT2H5fdpxzJUwxebMXjIDdtu+2V31OvSZxp9H0rhxgeZHaB7qT2SwH9tPnLXf6rErOzLj0rYV2t6rqw/xzrqjTNGv4QXjAgAO6tqxsv+XDPtzCj10xwCwjn0HXa+bSr3PifQ8Br+y3j5+9/peXNUtipPp+Qx9bT0Wa8n7wErDqL8QjX7GLM0u9zBIyaX5BdySZWZy1luYbN9Dh8ZE8PHU6ns5nW9qQ0Opc0Vubi5BQUFIKZk5cybt27dn9uzZHuvqTUMphaJaCWmuCQ6AwizISvS+zrmAYov+jmNnP0ia5kjv09oRzpuQUeAiPP57VawmPKwVK3p437D29G0Vynj9H/a5dsOnc//wDqzXD7TP5ez4rsz7JO78iVcMH9BLaHt8ZMluEjLyeX/DUSfhAX6YuCf1OAt8BzKjyzQa+DSwnzMLwdrAAG5p2oBWTRaCKALgjyNpnHUPN1bUCj766CN69OhB586dycrK4o477qiW+yoBolCApm1UJB/k5F+O4xaOF7drJJbmSNfCecM8bvH46E5M7xEAb18Eb/WA07vK3Z6PQccXEyPpozts268eQ7eJ6HWCopgx9nVBp//Uanp5w1RAr833c63hd972eRuQ5BSauWPRDr7b4RCYXaIbcL1+LdMNP9HrwOfcK8JYMW4FN8beSEs3q3dyozgC28xFH3gIs9XCqr0VrCWmOK/Mnj2bXbt2sX//fr744gsCAgKq5b5KgCgUJbg0l/LiRM1OgrPx2rHBH6K6O86FO0diHbIfDo5xLWPy1NjOWoXeLR9C+lHIPKFllBdmlbs9495vHYN2wyFIi/Tq17Mnu6xaGLJempEHV3q/QeI2/C05AESLdKLQfDH7k7IxWTTto3fLRjx2RSxddI6uhzJ5D438GvGf3g/xabLku8QkBuU72uvqfDIIaPExge1e4KO975NWUH47X8WFgRIgCkUJ5ZU0cY6+atYbDD6OcaNWoLeNc5KgQIuMGtczmo5NggnyNfD8uK7cMrCVtibBKcci8wSsmK1FeJWGlK7Jg92vsx8ObBvOGuHQhnL/ds0RKcF6/E+X8T1dPM1N91zWjr6tQ2mjd+SuZCYfJyOvmJsWbMGQf4YYk4n3z6TyXGo6wU7FHnXGHNINK7lqyWi+PfxtnexJUp98wu5U5bMrAaJQlFBeLkhp/g8AvQHCnNqQ2vwgQb4Gfpp1CTv+N9yR02Exwakdrtfv/R52fVH63hK3wVmbVuDbAGKusJ/yMejIbXuVfRyQ8LtdgDlTePR3l/GUVnlc0t7RAKtbsxAGd4jAoNfRxuDQIrKTj3PNuxvZcSyJEKFl4AtgbG4eP546zbUmA3rp6LyYb87j6U1PM231NPal1Z26p35+fqSnp9dLISKlJD09HT8/v0pdV6EwXiFE2XGBGlYppee/WoWirhARC0KnZaOnH4PifPBxshW7JxB6XB8DKbYXZuohaK5FJAkh8DXoHeuSd4O3mlOrHoRmfSGig+u8lLD9Y8e409UepVb69uzJP0fb0F0Xh16a4dBP0MMp49hchG+ya+dnXcp+Xp90JzO/2ElydiHPj+uq5aIU59PA7EhyDCw6w8nsfJoLh29FBoQhTAVEmPJ5PDGOvoO+5J6te/CNWI3OVxM+289s57qV1zGmzRjm9J9T60ujNGvWjMTEROpr51I/Pz+aNatcGHZF80BO237KyhLSAy3KOK9Q1G58AiC0rVYPC6mVNGl2kXauMNuhlQid9qJ3x4sj3SsJWx3HHUdruSVph7RExO9ug+m/gdHP8dzls2DfEsc1TuarEgbHRPCu7E93tJ7a+Tu/IcBZgJzaid5a5HpRyn4ign1ZfOcA1/lM16KO4SIbX4ppYcy2z4mGLTWznW1fgwNPIfK7kXe8Iz7hawiI+AOLrV/K8rjl7E3fy4fDPyQqKKr0v0sNYzQa7eU+FBWjoiasA1LKNlLK1qX9AKrdmaLu42LGcnKkJ27VNBPQfCV+DfDAWXNwcqR74GwKazMEJi4Eva/jmb89oR0n7YZ5g12FR+tLXaO/bAT4GEhv5TBj+Z3cANlOjTtP/OlxDamHwGL2nC8JFHCiR3AuL45wCggIbqIlT9rwL0imU9MQkEaKU0fxUJd5XN7ycvv541nHuXHVjaw9udbzeYo6S0UFyIDyl1RojUJRuynNkX7CyXzV0vMFDrhpIKUIECldHejN+2lCa6RTm5stH8CKB2D+cMiIc8xfNBWuX6xlvnuhT48ebLRokWQ6rC5Od+vxjZ4XWIocfhVnvAiQD66OpLkxxzER3ARCnMwdWYn0atHQPkxKC+H1wa/xfM8HMOg0Q0dKQQqz1s3imU3PUGxR+SIXAuUKECHE5cDbQogetvEMb+uklKqRgKLu08SpjLezI70sB3oJoW1B2HwdWSeh2EsfkKxER991nyBH6HCf6VpmewnbF2gv+JJ1ExbAmDfLLDM/LLYx38sh9rF5xyJNYFlMSCehFS+cXvwp+z1v5EWANDKluPaLD2oCDaKdPtcperZwtNL9+2QmLJ/FmCX38x5NXdrsLj68mPvW3keB2REKrKibVEQDuRt4ELhRCHEZ0OPcbkmhqEHckwml1Mqnn3IqgdOiFGXb4ANhTqVJbJFYLjhrH816g84mcISAq9+F4Kau6yO7wIz10HViuVtvGOBDZouRZEtNyBgyj2uC7/Qu9GYteipRhnO0oZMGdaZiAoSsU5Dj1BkxOFLL3refT3DRQA4lJCP/XgTAgGN/svzyBYxsNdJ+fuPpjcxcM1P1Z6/jVESApEopM6WU/wFGAH3Ku0ChqLM0aAp+thdhUbZWIytplyNqqlFrzXxTGhHeEwrtuJuvnAkIhQnzwWBzoPe6WXOoO/kaymNot1YstzgEhHnHZ3DCYb7aYo3F0KST44IKaiBkJUBusmMc1ARCnDSQ7NNEh/jSOFjz5bQpPoJwygMJyc/klUtf4c7ud9rntiVvY8KyCSw9slS11K2jVESA2NNapZSPAJ+du+0oFDWMEJ5mrJMV8H+UEO7ZG8QFFwHiJZKr1SC4dyfM3Apj3y67M6IXxnZvys/GYfaxde9SOPKLfbzF2pHQ1j0dF7gLEClLESCJbhpIE60RV4mwtZoQeWn0spmxeuqOuF6feQIhBDN7zOT+Xvfbp0/lnuLxvx5n2LfDWLh3Yb3MwajLlCtApJQ/Agghwm3jt8/1phSKGsXdkX6inPwPZ8pypBflOjnmBTQrRZkPiXbVZCpBiL+RK0aO5rBV0w58rAUuGshWayxtOvXCHpGfEae18C0h94z3HJXsU64aSIkW5mLGSqRXS02glFQHtuMklKZ1ncbzFz/vUqAx15TLGzve4MENjyoHex2iMpnoC8/ZLhSK2oRzKG/ybkhwdqCXE2xYlgnr9E6w5UbQuJOj+m81M7lvC/4IGukxnywbYQhvS1BQAwi15TtIq6uvxln7aOSUE5F50tEHRegg0NZx0cWMlWjTQCS9PDQQ177vY9qOYeW4lTxw0QO0bNDSPr/6xEou+/JaNp/eqrSROkBlBMiF0WpMoSgP56KKx9Y6qtsGhENY6c2fAJu/wvZf5exxMDl9mz9ZjvmqmtDrBL3H3olZuv733mKNpVszm8mpsZMfxNmR7ixAorppEWDgqpUERjic/y6hvKfoEh1Cc10GjYVbUQq35ESAhn4NmdplKkuvXsoVLa9x3MYax+2/TuPmn24mLivO4zpF7aEyAkR9HVDUDyJiHeG4zs7dFv29N5lyxuivZWiDrSTKUce5shzo1Uz3jjEcCHb112gCxKb1NC7Fke6ugYR4KW0RFOk4dgnlTcTPqGdM2CnPa9w0EGeMOiOTWs2m8MxVSKuj5Muu1F1cu+xavj/svTikouZRGohC4Y7Rz3vkU3kO9BIivDjSrVYtm72Ec6iB2B9x2XSX8RZrR7o1t2kgkRURIK28C5Bgp3IkzueztZ4iF/vH40FmAlgtpe41LbcIU8Yl5B2/n+Kz/ZA27anYWsyTm55k4d6FdbK674VOZQTIo+dsFwpFbcPZkV5CeQ70Erz5QdIOO3p+BIRDaJt/t78K0LD7aLL8tBf8YWs0J0Q0naJsjmsXDeSA49hdgDhrGCUEO2kgbtnoAF2km/8DwGqCnGTP+ZIt5GhJk7I4gqLkceQfvxdLoUNQvbHjDe7+7W7Va6SWUWEBIqX0Ut9aobhAcfaDABgDoUl372vdcY7ESrMJkAS3TPbyTGHVgd6I/7QVfBh0F7cWP8zY7tH4GW0motC2jv4l2acc5d89NJDmeBDklAfjlo2OuZgGGY5XRYI1wnHeix+khJRs10KP1qIo8k/MIFTv0AQ3nt7Itcuv5VjmMffLFTVEpfqBCCF6CyGWCiF2CiF2CyH2CCF2n6vNKRQ1hnMuCGhZ4/oKFq/2poEknF/zVQk+Ea25ZdZzfHz/eF691kkA6g2uOSspB7Rw3pJyJUKvaRch5WggDZpit27nnoHTf9tLsCTpIvlHOjLz81JsDnEp4ben4INLtCAF4Ey2w0l/VVeb5mH1pzjhDqZ2nmo/l1aQxr1r7yUhO6FyfwjFOaGyDaW+AD4GJgBjgNG23wrFhYW7Caui/g+AcKeqvOlHtQZS59GB7o6fUU9Mk2B0Ojetx90P4uzoDmkGemP5PhC90SkzX8Lub+yngtr0J1k4Kviu+n0zxWYr7P8R/nxdC5Fedh9IaTdhAYzuFkUDP01YJ2WZGRE1jQlNn0JaNY0pISeBccvGMX/PfBXqW8NUVoCkSimXSSmPSylPlPyck50pFDVJcBMICHOMK+r/APANhga2F6/VrHUTLInG0hkhqpaUk2sc6zg+usa18m9JJJnXKCy3Ui7OZiynCsDBnUfSr1cv+1iePckTS3ch1zztWJ+VwI6tf7oIkKYN/RkW69ByftmXzCdrfCk8NdkepVVkKWLuzrk89udjZBaqPnY1RWUFyBNCiPlCiClCiPElP+dkZwpFTSIEdLc1ZArvUH4CoTvOZqydixzHTXs4mkXVNM6Z8IdWah0RSygRIOU50cFVyJSEPQs9xFxB184OU2BzkYp+12eIDFcfxr7fvyU1x2HCatzAlxGdHM/4+K94AMy5nck/cRehBkeC44q4FQz/bjhv7ngTk8VU+mdVnBMqK0CmolXjHYVmuioxYykUFx4jnoW7/oI7fgeDb+WudXak71vqOD7P5qsyaTkIuk5yjLOc/AolAsTgC4GNXS7zGHvTUlpfohWHbOTIMo/RnWSWYYnH0s65m0nP08qXCAHhQb4M7diYsEDNZNWw6BRLfR7nY+NL+BaGM9D/Kca1G2e/vshSxIK9C5j+y3QVpXWeqawA6S6l7C2lvEVKOdX2c9s52ZlCUdMIoUVjVbKgIeCqgTj3vahNAkQIGPcB9LzR81yJAAFXR3pAmFa23hlvAiTW5hp1iuIKFblECC2UOUU2xCo1n0wPDhMitWZVYYE+GPU6/Ix6buyvCZ9XjR/SU3eUofp/mKr/mbRcC08NfIqnBj5FTCPH33lnyk4mLJvAgj0LlDZynqisANkshOhU/jKFop5TWjHE8xiBVSF0ehjzNvS9w3XeOU/FWUAEe+lp7mHmElqvd9DMde4+E+BZ0w3sskVo6YXkUp0WzBkR7DDv3TSgJT4GHf10jqrGI/XbSckpQgjB+Pbj+XbMt8y+aDbCFgmWUZjBmzvfZPov01VRxvNAZQXIxcAuIcQhFcarUJSBcyRWCQ1blt1LpKbQ6eCKl2DIo2AMgJirIMop5LeBkwAJivS83l0Dad7P9XO6aXArLP1ZZh3IWoujrPxl+r8B7P1EQDNlje/pKpwK8CXVKeRXCMGxI30oSpyKn85R3Xdnyk6e2vQUZquXnu+KaqOyAmQU0B6tsZQK41UoSiMg1PNlW5lIrvONEDDkEXjkJEz50jXRsTwNxF2AxLq9EqIvchnOMd0GCNZZHQLkct0OIjjrIkAA7hvmWlImX/qSmltkD9/NLTLzxZaTFOV0IHX/f7it8zT72mXHljFpxSTiMlVBxnNFpQSIc+iuCuNVKMrB3YxV28xX3tAbPec6XwO+IVoIcrdJnucDwrVM/RJi3eJqOl5lu7cvS7u8RxZahd/MBh05aNV8JIGiiAcNi2ncwFWANA1wzfMwo8dkkZzN13wc+cVOGob0YUyLaYxtO9Y+deTsEW79+VZV1fccUWcz0YUQgUKIT4UQHwkhbqiJPSgUZeIciQW1y4FeGUKawf8dhP8chjaDPc/rdDDkYU3IDJrl6oAH6DIe7twIM7cwYsxkhsRE0CmqAe/eeBHPmh0O/EmGDXSSbmVKSjLjbQSjBSSUZK4XmVwLLB5NyeWpgU8xs8dM/PSaP+Vs0Vmm/jyV+Xvmk12cXYU/gKI0alUmuhBioRAiRQix121+lM3vclQI8YhtejzwnZTydmCsx80UiprG2Q/iE+RawLCu4ROgmeVKY9AseOQEXP609/NNukBoawJ9DXwytS+rZl1Cj+YNORbch18tjmTDAUdf10qdlJDtWho+ROQBjuKLRWZXAXIoOReDzsCd3e9k/sj5+Bs0/0tGYQZzd87lplU3qcTDaqS2ZaJ/guZnsSOE0APvAlcAnYAptkiwZkBJ4HrpdaIVipoi2vFipOUgRxOmC5UqFIhsHxnMc+YbKJba3yY0bbtrD/rs0y7rG4g8Wogz+Bz8EYrzKTK7/tc/fCbHftw9ojtvX/a2S+vcuKw4blh1A8uPLVdlUKqBWpWJLqX8Hchwm+4LHJVSxkkpi4GvgauBRDQhApX/HArFuSf6Ihj2BMSOhZHP1fRuaiUxkUHEyyiWWC5xTP75huPYTQNpJtJY7jOHATv/Dz66DM66fn91FiAA/aL68dOEn5jWxeFcP5lzksf+fIz/bvwvWUVZ1fdh6iF1IRM9GoemAZrgiAaWABOEEO8Dy0u7WAgxQwixXQixPTU19dzuVKFw55IHYPIi7w2qFLSPDAZgnmW0PbGQI7/AmX3asZsGAhAibOVSUg/Qfvk4wnAIgeNpeR5aSQOfBszqNYvRbVxfVcuOLeOKJVfwR+If1fRp6h91IRPdm14spZR5tuffJaX8orSLpZTzbHvuHRERUdoyhUJRA8TYBEicbMo64VSba93zmi8ky0t7XCd8CtOYol9rH5utkuNpeR7rhBA8O+hZ3hz6Ji0bOMqr5BTnMGvdLB5fvYS9p5Q2UlnqQiZ6IuDc1aYZ4Pm1RKFQ1DlioxrQMiwAgH9a3uo4cXAFrH7M3ia3LAbo9ruMDyXbzFgW1yRCvU7PsBbD+PHqH3mk7yNE+GtfKE1WE0uSnmTKj3eTlK2ESGWoC5no24D2QojWQggf4Dpg2Tl+pkKhOA/4GHQsvXsQn0ztw8ybrnOty7X5PUjeU+49eusO01acoqXQWuau2J0Ey2fB801h41se6/U6PTfE3sCiKxfROEArDCmEhMDd3PLTVE7nat9PM/KK+SchUznby0BU5o8jhGjpbb66IrGEEF8BQ4Bw4AzwhJRygRDiSuBNQA8slFJWySPZu3dvuX379urYqkKhOBdYzPDdVDhQ+e+IVil4xnwj6609WOf7f/Z5+VA8Ij8dwtt5XHMq9xTDP70PQ9Bhl/kbWlzNV79fSlaBiYdHdeSuIW09rq0vCCF2SCl7ez1Xn6SrEiAKRR3AXAwLhkPSP2Uui7dG0kp3xmN+naU7Q/WOa4t0Afha82Hch9D9Oo/1rR5ZiW/Ud/g0dH039E3syZqcydqzXryqKp/kgqAsAaLCXxUKRe3C4KP1YimHH62DvM47Cw9AEx4AS+/wWGu1al+gi5KvpvhsH5dzB6O249t4OcKYXpFd10vKFSBCiMtt5UJ62MYzzv22FApFvab1pVr14jJYZqlkl0gv2DPZpZGi5Ak8fzyYhhYtDDhbr8cnbCOBbd7gzR1vkZyn+ViwWku5W/2jIhrI3cCDwI1CiMvQ8kAUCoXi3HLjEq2BldBDc9dKxsVSzzHZlPfMYymWehaaR7GrycTy75mdBGZH//UCk2vOSAdrFm+fSbULEQChM7Ng70dM/Xkq+UvvhJdaurYprsdURICkSikzpZT/QSvj3qe8CxQKheJfE94O7tsFs/dBT9d6qSk0AgQvm6+jY9GnPG2+meTQCryaXu8Ib/WEolzAU4A0ERn0KCpmZeJpbsnKRkpHGlpibiLPnVqNpSgblt3zrz/ehUBFBMjKkgMp5SPAZ+duOwqFQuGEXwNoEAV+DV2mU6VjbLW9xtLCvPp5Pck+RfxvHwJQUOwqQEqy3BtYJbPTs8g79iCm7K7288uCg5ga1ZgUvR6sqgRfuQJESvmj2/jtc7cdhUKh8IK/qwBJkQ09lsjAilea+HXzTg4l51DoooG4RqQmEYY0hVJ46nraBlxsn//bz487m0Rg9lJmpb5RZ/uBKBSKeoRf+QLE16Ajs8nACt3OIgWv/XKIQpOFTiKeNT7/xwqfOS5r8mVJcytBjG4Gt0cNRtjSHo74+PD6zjcpNDva67qkRKQdhYWjYPEtYCrwvgmrBY6thcwE7+frALWqH4hCoVB4xb+RyzBDNPJY4mvQkT/8JTJkULm3CyOLdYfOEJ+ez7vGubTVJdFFF++yxuDUJeJEeiH3hffjrkxHqZNFCb8wZeUUDmUcYtOxdPo+v4Yb5m/GbDbDBxdrZen3/wBHf/O+iQ0vw6Jx8P5AyHcvQl43qG39QBQKhcITNxNWpiHMY4mvQUdE6y70KXqf98xl95i71vA7fxru5tgfi2ntJRkRwOgkQDbHZXDwxCmmZ2bTq9ChdRzNPMrE5ROZvn40mbo/2Xg0nQ0/fQNmJ60j/Sj89iSseRpMjmvZ8KL2uygb/nLyDLjV8KrNGCq5/gkhxHxgDWCPhZNSLqnWXSkUCoUzPq5aRYHBmwlLj1Gvw4KeDBlc7i0jRSYPZpbSQREwCAuhgT5k5BUDsPvoSToC85NSWBQSzNuhoZhtfhOdIRe/pt8jDLkUJbn1ld/8PuTahJR/KAz0EsGVafsevuQOrYzLyOeg97kudP7vqQv9QBQKRX3Hvduhwddjia/B8TrLxb9Ct9VReiknAxZeu7a7fSwLtX7qRuC2rBy+PHWabgHRrntovJrPDFvJ0jm9WnOdNJw1pQis3BQ4sx92fw2mfFgxu0L7r2nqQj8QhUKhgHaXa7/9GnLMv6vHaV+j9joLC/QhRwb868cZsNAxyqHJ+FpyXc7HFpv4/HQSXw/7EAqa2Of36VO4oWkkWTovrYx0pRh9clMgrwoN7+I2aEKphhzxdaEfiEKhUMDYt2DY43DTEoSvp6Pc16D1VZ97Xc8KayBlYcBCowAf+9jf6qVR1dl4Os+/gk1JfxOY4dBWThiNTG8SSZrO7RWrL0WA5KWAqOTrOD8DFl0Df7wGy+6t3LXVRF3oB6JQKBTQoClc8n8QfREBPnqP0yUmrIvbh/PqjZd4nK8sRsz4GnQYbJpEoPQUICUECRPPZJym4PS19rmDvj6Mbt6UZ8IakVdigitNAyk4W3kBcvx3kLa6XHHrKndtNVFZATIKaI9W0kSF8SoUihrB3+hNgDjmIsI9kwodeR0Vw4AFIQRBfgau1G3mYv0++7mPzSM91rcXiZizLuK2olb2uTydjsUNgunfqjnPhTXClJ8OK//Pe2ivdCvSaDGVvcHShNF5pLICJBkYBNwA3OL0o1AoFOcNf28aiNHpdebXwOXcX5ZOdClawHFrZIWfYRBWkJIwo5lXjR+6nFtl6eex/gxabkrPrEBeTkkj2uQajvt1g2Cuat6Un/d/ieXzCZ4PtBS5jk355ezQLQCgLIFzcKXWZz63Cn6WMqisAPkRuBowA3lOPwqFQnHeKMuEpQ1cw3izCcSKjr+sXSr3IKuZaJ9cAoTryz1eegqi5iKFqfqfaJhziCvy8vkp8TQPpZ91WZNkMPBg43DuahLBaYPbZzAXu46dc0a8Uez26i0spZ97Rhx8fT1seAl+erDse1aSygqQZlLKyVLKl6WUr5X8VOuOFAqFohzKM2G5543ko5mv3jKPI9PYmHwveSResZhoZPRM7MshgPWW7i5zTUUGTxgX0UMXB4AAbsrOYcOJRPoVuAqDTf7+jGrWlO+DAikuWW12ExjuGkj6Mddoq6Ic1/MFrsLKzq6vHMf7lnpfU0UqK0D+EkJ4xs8pFArFecTfx9P+7+OsgbjljUi08RlCebfbEpYMXcNhq2sOh1cSt3FzvmcB8kJ8eM58g5cLPAm1WpmfnMKKhNOMznVoDVIInowI47roJqTpBFjcNRCnbPZja+HtXjC3m5YvAloGuzMFmd43oPfxPl8NVCUKa4eKwlIoFDWJuwnLqBfoveVdeLvWz5eo0GDOUn62Op+N5aLCTV5OCI7IZvQpfLdCzwRoaTbzQmo6HyWdIcCpq+ERHx+GtmzGW4m/Uugs+JzLoZT4TKQVVj6gHRe55qVQWJoAMXqfrwYqK0CuQEVhKRSKGsZdgPi6+xPcKNFAAIJ8DTQPDSBLBlbp2d9bHCHCqTQivhKOeYD+hUV8fTqZkbmuPoyP0rYyIboJOSVCxFkDcY7QOrkJMk9W3ITlTQM5uAq+drZx7AAAGq5JREFUvx0StlVq7+5USoA4F1BUxRQVCkVN4Wd0FyBlv8qcK60H+hpoERpQMQ3EjRTZkIdMM1zmUgmp9H1am8y8mprOfRmZ9hLxACeNRga2as4LoY1459c95BeXUljxg0vgzF7XuVJNWEaPdZZvb4M9i8n95vZK792ZCgkQIcTO6lijUCgU1YGnBlL2q+y4jLIfB/rq8TPqMftU/sW/ztIDC67PTvXSm6Si3J6VzYLkFI/5L0OCWVKwgjlLd3m/sDBT00Tc57zhni+SsBW9RdNugnKPU5R6vLLbdty6gutibT6P0n72AOFV3oVCoVBUAg8B4iUqi8lfgN6Xk0Sy0DLKPh3kq71Q9QGhlX5uSTSXM5lVNIWV0KewiL/iE4jJdc1dSQ05yeqzj7PnzD8Vu1HBWU3VcveNWF21GJm41WXs+24PSN5T6X1Dxcu5d6zAGtUgWKFQnBcqZMKKHQ0PHmHya5spLHS8RANtAsSnQTjkeF5WFgVuAkQILaT33xIsJROSIrjauI/bohqzz1d7jt4/get/vpHOTSO5PjuXkXl5+JZWQLjgLHw6BnlyMzs6zyFgwDQ6NW3gkWAofn/F89rvpsE9Wz3ny6FCGkhpvg+3n8RKP12hUCiqQIBbGG+pJiy/EHx9XJ3IJRpIUEMvPdTLqUflXg7l/Rt6VUvlXwB/UUSAlCw6fYYZZ7PQOflG9vn6MicijHHRUSTrSwkY2L0Y4v9AWE303vMk49/fyOnMAs/wYG+kHarSnisbhaVQKBQ1TmWisNy1lRINJCS0scu8tdetcP8eiOpR6r3y8XPbh4HsatBAAAJsPfqMwL2ZWSxKOuORgJhgNHJ5i2heCm3Ic2GNeDIslKVBgZgApKsRqNBkZeCLa1n+d0XinCoWAu1OzVfjUigUikrinonuUgfLDXdhE+irjUPCXMNvdY1jIaRZmXkT7j4Qfx999WkguJZL6VZUzLzkFFYGBrAsOJDN/o4S9Z+HOPwl3xPED8GBfJicip/0tG/FnTlb/pu+spWAbVT6KiFEhBDCi+6nUCgU5wf3YoplRWG5ry0xYTWPdstE97EJAl0ZAsTNhOVv1FeLDwTAX3iamnTAmLx8PkpOZcbZUmpdATv9/JgQ3YR/fD1zPnyoQI/10gTIsbLLxFc0jFcIIZ4UQqQBB4HDQohUIcTjFbleoVAoqpPKmLCMetfXXIn2EhjiFjhqtAmC0po+4WnC8jNWnwYS4KaBuDMzM4tH0zLoXVBIu2JPYXPSaOTGpk14OqwR2TrBo4YvuFT3D8aKCBBdKX+/RdeUeVlFTVj3o5Vx7yOlPA4ghGgDvC+EmC2lfKOC91EoFIp/jZ/Bs5RJaVisrmYdUZLpbXR78Ze8RMvosxEQ2MAlcsvfR18lH0iu9CNIuPo3/Cm7+q4OuD4nl+tztDDdfNvn+DQkmPcaOXJRvm0QzLcNgrk0fysvpa5ms6lPufsptkBVKmZV1IR1MzClRHgASCnjgBtt5xQKheK8oXOre2UtLbQVsHrxCwAeBRft4a5lmLD6dHA1e1XFhJUnfT3CgQECRdkaiDsBUhIgJXdlZvNEWrrH+d8D/BnRsimPtzvFa40auncPcaHYCnsSs3h19SG2xWdUeA8VFSBGKWWa+6SUMhUtaECh+P/27jxKrrLM4/j3qepOujtk3whJOp1AEtKasCQsCYgLUaOAwIBKFJFFQnBgVI5LFJ1x5ujAqAcUAVmEiduwiIKAIAIOoLIYcBgJRDQgZANZMpqVJN31zB91u7vq1r1Vt6qru3r5fc6p01V3ed+3+txzn3qX+74iNRMbJCisgcTqeLCwSCd6XUP+NPEN9Sm2eLL1169vW8LLPppL2t5PG4VNRhMs5knybMZF0z5563Zu2vgSI9qjH8dbOWoE86Y389O9oh96zJDi7O8/zuX/vZb3X/UIW98osRpiIGkAKTaQOMEgYxGRnlMsgGQysbvgmEvA0tC8EGa8I7utSBNWqiF//qyGujTbEtZAvtJ2KofvuoLr2t/LliL9Jns8oj/imEtKpt+6ew8PrdvIDza9XLAaYocvjxvDkxEd7SNsB63bHu78/NSG+A77XEkDyAFmtiXntbXjBWh9EBGpqWK1jPYiwYVDzoLP/QXOuBtSwe2w2PTndfm1jVTKmDiydADZ4k1kcm63n96zPPbYH7e/tWDbfS8mqxGkgQN37eYXGzbx2AvrWfH6Zsa3dQUTN+OCCeN4oa4wSF4/5Bt8u/4yzk7f2dVPVELSJ9HT7j4i5zU856UmLBGpqWKtVCWbsBpG5veHFOkDydQVNldde9qCUsVjk4/N+/yUz+C4XV+JPHaDj2eX59/gr33sNdZm9imZT64mdz68ZRv3r9/Eite7+jVeravjuKn7MHd6M79pzG8aOy79KBfW/xcjNz6A/+abJfNIOoz3EDPbO+fzaWb2MzP7lpmVPyOZiEgVZYoEiVIz9RaIG9IKtEUEkDdPLj2r78teeJt8ymfwRGZmwfYtNLEr1LW8kyGcs+dTXLrnpJJ5hRnw4S3b+MZfXy3Yd+7eEzhv4viCiQxbf3Umdt+/lEw76X/2aoK+DjM7CrgY+D6wBbgmYRpVZWYnmNm1QSB7Vy3KICJ9Q7Fmqi8d29r5/t9PTNDiXqQJK5WKvmW2jS0+3+xLEQEEoD3iFrzFowLIUJ7zyXyr/SSez+xdcE4S796xk5O2bCvY/mBTI0um7sNjDYUjw0pJGkDS7t5RB/ogcI27/8TdvwTsV26mZna9mb1iZqtD25cEy+WuNbMVxdJw99vc/Wzg9KBMIjJIFWulevPkkdyyfCFXf2Q+H1gwpXRiRZqw9h4RPRpq5wn/yW3ti9gd1QFOdA0EyOsX6bCVJnaFnsrYmfM5HFzK8c+vb+amjS8xZ1f+2KeX6+r42KSJzJ3ezO0xI7WiJA4gZtbRKHc08KucfZXMp7USWJK7wczSwBVkl81tBZaaWauZzTWzO0Ov3FnQvhicJyKDyOmLWjrfn3PUjKLHLmgZw7vftDd16QS3vHANpK4BGkbBMZfw9tkTOKRlNHUpy6vNpCfO4pN7zuP69vdGJrnOJ0Rub/OYGkioa/mNnClUNvuI8CmJpciO1rp508tc/twwFu3YWXDMhePHMnd6MxdMGMfDDcWHDye9+d8APBhMZbIT+DWAme0HJBvvlcPdHzKzltDmQ4G1wQOKmNmNwPHufhHZtdfzWHaYwMXA3e6u1RBFBplPvXMWIxrq2HtkI4v2HVv6hKTCw3iPvRQOWApmpICbz1nI1l1tjGjousnXBU1b97UfxPK6O/JO3+RjuCtzWGRWldRAnvR9OYKny/lGkVKe5uq/vsodw5r4woTC9QDvHdbEvcOagMIVEzskCiDu/lUzux+YBPzSvbPBMQWcX3bJo00G1ud83gBE/9ezzgcWAyPNbD93vyrqIDNbBiwDaG5urlJRRaTWRjbWc8G7Zlc/4XAAqRuaN0rLzPKCB3RNpfK478/Fe05h6ZRXOWf9OxnP31iTmVYQEDrE9YHsDt2a38g5f1Vmf+D2cr5RpHrLdp0ft30Hx/xlHStHDufSMaPLSiPpKKwG4HCyzVendjRnufufqvjrP2rgcWzLprtf5u7z3X15XPAIjrvG3Re4+4Lx4zWJsIiUUNCEVfpJ89znJq5qfx8Pz/8mz6da+HVmHq8RP0qrvr4wsERNjZK7DvuDmXk81J5tPtvu5Xd8d3g209UflALO/PtW7lu3kZbdyZ45geRNWN8D9pBtuuroo/hE4lyS2QBMzfk8BdhU5TxERIoL10Dqi/cDREmbsac9/hH4r500j3TKmP/MWHiua3uGFNtpYJr9NfZcJ8UZez7LgrY/8YJP5JdDP8tI21F2GedOm8Ca9c3MSa3r3DaxvZ07Nr7Exro0DzY2ctG44k9pJA0gre4+F8DMrgPKXzy3tFXATDObDmwETgE+1AP5iIjEi+pEL5MZ5I4srk8be9q7NjQNTXPsvH1gbX4NZNfQ0fCGMdq6httG1TLaSfOYzwneV7YY1EHNY/j5uknMYV3Bvslt7Xxo6zaGuVNsQvekOXfWadw9weTyxZnZDcAjwGwz22BmZwXpngfcA6wBbnb37vcUiYiUIzyMt4IAkg7NFhxew73z6fjQQ4svjT8KgFWZWZ3bbm5/W9G82iMmZkzCUikmjijeBHb8tu1F9yetgRxgZls68gUag88GuHt548rcfWnM9ruAu8pJS0SkqgqasJLNtpuXRGguqWFD0vx9Z1ffQtcwpPy8Nu79dlgLF+9ZylVDLmWjj+PrbcUfc6u0BoKlsArXQu+QdBRWZSFORKS/Ca9IWFfBE9rhGsjQurxmrdZ9gt/cln9r3V2f7XB/wmdz6K4r8QTBIWpqeIA3vJ4G6wpaP2w7mlPr7u86wFKkuhc/Kg1dIiIDVEETViU1kPzPw4akuWX5IhbOGMuK9+zPrInBtPChJqxMqitYJQkeABmPjgLhCRxf8dAQXUsVrKlVrkqeIhcRGbgKOtHLr4G0Tspv1W8aUsf8aaO5Ydnh+QdafpBor2sAyhtRFVcDCT97sj20njuWItXNJizVQEREclXYB/KTcxfylpnj+NKxrcwYn79y4bChMb0AobyOmDW5swP+mLmTEuUb9TQ7FM6ZtSO8jK5qICIiVRaqFSQdhTV/2hh+cFb05Bnjh8fUYkJNWMOH78WPly/k8Rc2c9LBU9jdnuHeZ+KfCYH4Gsh2b+CpTAtzUy/wWGb/wuMslXjhqDgKICIiuTz0AGCFN9kvHjOHr/x8DUPqUnxy8azog0Kd6NQ1cHDzaA5uzvZX/Nvxb2L95h2kzHjmpS0RCcTXQNpJ8dHdKzgytZoHM/NYnApNGmKmACIiUlWZ8PJKlTnziOm0ThrBlNFNTIyZBr5w3q384yaNbOTuT7wFM6Nlxc8jk2iLCSAZUmxmBLdnFgERw32rMApLAUREJJdXJ4CkUsai/Qpnuc0TrgFENJdF1RJyn2yPq4FkQh3kBcdZuuB5lXKpE11EJFd78skEuy3cXBaz4mHY1NFNnHnEdCC+DyQcQApqKpZSABERqapMt2drSq59d+ljolhX5SXuSXQPBZDIJqxuRgAFEBGRXMMrW3O8IhUGq5R1TUKSiVjVMKtUE5ZqICIi1TXrPTD1sOwT6e+7vGfzaq80gHRNlxLXiR5eTCm6E12jsEREqieVgjPvgV1boaHy9ccTqbAJK2XW2YQV14keFlkD6WYVQgFERCTMrOeDB0Cmsg57M+ucSTeuEz3cB1IYQCyyBnL27gt43UdwaOqPrKi/sWg5FEBERGqlwhFfBrSMzS59G1cDKR1Aopuw7s0sAGCEl56TS30gIiK1UmknegpOnj+FA6eOwlPJVtvIhJ96L9EHEg5AkeVIlLOIiFRfN/pA6tIpbv34Io5ujZ50MdyJXm4fSPj8yHIkOEZERHpChTWQjqfTzYx0ePr5GNGjsPK3bfauWYRVAxER6csqHMabd2uPacIKBwAPzzJsKdKhGHHq7i90vg8/yR5FAUREpFamH9X1fuzMooc21ncFijmThnftCE/IGKhL59/eozvR8zc94y2d71UDERHpy474BOz7Dpg4F075UdFDf3DWoQxvqGPyqEY+t2T/rh3hmkVg8ZyJeZ/bI9YDCa/dnitJANEwXhGRWhnSBB+5NdGhC1rGsOrCxdSnU52rFgKxNZDwCKuoJqzcWk0lFEBERPqJhqgbfsJhvIWd6EZdkRpI/BxbOVknyllERPqmmBpIeK2RTEQTVjEaxisiMtCFHxCMEdWEVWy5XnWii4gMdLFNWPkBYIc1hXYXv/1vo7F01iWPEBGRvisugJgxbq+hnR+Hj56Qvz+8GmLIGp+WP8w4KutEBRQRkb4ptgnLuPa0+dSnjSF1KS5dOj9/9xt/Ay/R03Ha7UV3axSWiEh/FteJDhzUPJqHVxxNOmWMGTYkf+eOzaXTLrHglAKIiEh/VmIY7/jhQ2P2FK99tE4qvR6KmrBERPqzIn0gBRb/a/ZvXSPMP6NoDWPxnAmx+zqoBiIi0p8lHMYLwKLzYcoCGDMDmsZ0O2sFEBGR/iy2DySidpFKQ8uRydIt0f8BasISEenfymnCqnbWPZ6DiIj0nHJqIGGHndv1/sBTyz1bTVgiIv1ad2oazYfBiVfD5ufhsOXw6CNlJasAIiLSn5WYkqSkA06JTnagz4VlZsPM7AkzO7bWZRERqY2YG303+0CSnF6TAGJm15vZK2a2OrR9iZk9a2ZrzWxFgqQ+B9zcM6UUEekHYmsgPd+JXqsmrJXA5cD3OzaYWRq4AngnsAFYZWa3A2ngotD5ZwLzgGeAhl4or4hI3xQXQLpbA0lwTE0CiLs/ZGYtoc2HAmvd/XkAM7sRON7dLwIKmqjM7O3AMKAV2Glmd7mXmF5SRGSg6W4fSDf0pU70ycD6nM8bgMPiDnb3CwHM7HTgtbjgYWbLgGUAzc3N1SqriEjfEFvT6F4NZMKIuDm0uvSlTvSob1tyVUV3X+nudxbZf427L3D3BePHj+9WAUVE+p7q9XV87eR5pFPGrIl7cdLBU0oe35dqIBuAqTmfpwCbalQWEZH+IbYPpPykPrBgKovnTGRUYz2pVP8axrsKmGlm081sCHAKUHw1ExGRwa7KU5aMGTYkUfCA2g3jvQF4BJhtZhvM7Cx3bwPOA+4B1gA3u/vTtSifiEi/MdiG8br70pjtdwF39XJxRET6r7gaiCZTFBGRomo4jFcBRESkX+uZYbxJKICIiPRnqoGIiEhF1AciIiIVUQ1EREQqUsNhvAogIiL9WQ/NxpuEAoiISH9W31SzrBVARET6s2lHwPj9I3aoBiIiIsWkUrDsQTjnod7PutdzFBGR6qpvgEkHwAEf6tp2yMd6PNu+NJ27iIh0x7u/CmNnwIRWmNja49kpgIiIDBRNY+Coz/RadmrCEhGRiiiAiIhIRRRARESkIgogIiJSEQUQERGpiAKIiIhURAFEREQqYu5e6zL0GjPbCjwbsWsk8Pcytifdn/SYco7r7jk9kUYt0q6GccBrEduLlVvXRN9NuxqqfU1U83oo99junJNrpruPjNzj7oPmBTwes/2acrYn3Z/0mHKO6+45PZFGLdKuxfWga0LXRDX3VfI/qcU1Uex8NWFl3VHm9qT7kx5TznHdPacn0qhF2j2pWLl1TfTdtHtSpddENa+Hco/tzjmJzh9sTViPu/uCWpdD+gZdDxKma6I8g60Gck2tCyB9iq4HCdM1UYZBVQMREZHqGWw1EBERqRIFEBERqYgCiIiIVGTQBhAzO8HMrjWzn5nZu2pdHqk9M5thZteZ2S21Lov0DWY2zMy+F9wrPlzr8vQ1AyqAmNn1ZvaKma0ObV9iZs+a2VozWwHg7re5+9nA6cAHa1Bc6QVlXhPPu/tZtSmp9JZyrgngH4BbgnvF+3q9sH3cgAogwEpgSe4GM0sDVwDvAVqBpWaWu1jwF4P9MjCtpPxrQga2lSS/JqYA64PD2nuxjP3CgAog7v4QsDm0+VBgbfDrcjdwI3C8Zf0HcLe7/763yyq9o5xrotcLJzVR5jWxgWwQgQF2v6yGwfAPmUzXLwjIXhCTgfOBxcDJZra8FgWTmom8JsxsrJldBRxkZp+vTdGkRuLuEz8FTjKz79B/p2HpMXW1LkAvsIht7u6XAZf1dmGkT4i7Jl4H9GNicIq7JrYDZ/R2YfqLwVAD2QBMzfk8BdhUo7JI36BrQsJ0TVRgMASQVcBMM5tuZkOAU4Dba1wmqS1dExKma6ICAyqAmNkNwCPAbDPbYGZnuXsbcB5wD7AGuNndn65lOaX36JqQMF0T1aPJFEVEpCIDqgYiIiK9RwFEREQqogAiIiIVUQAREZGKKICIiEhFFEBERKQiCiAiIlIRBRAREamIAogMCGZ2oZk9bWZ/MLMnzeywCtIYZWYfD217OMF522K2twdlWW1mPzazpjLLUzLv0PFfNrNPR2xvMbOdZvZkOeklzLMx+I67zWxctdOXvk0BRPo9M1sIHAsc7O7zyE7Tv774WZFGAXkBxN0XdaNoO939QHd/M7CbhDP9BmvVpLqZd9hz7n5gFdMDwN13Bulq4sFBSAFEBoJJwGvuvgvA3V9z903BL+8/Bmta/8HMbumoBZjZbWb2RFBrWRakczGwb/CL+uvBcZ21i5hzkvo1sF+Qzqlm9rsgn6vNLB2UdY2ZXQn8HpgayvuCoCaz2sw+mbP9wmAZ1vuA2UkKkvN/+W6Q3o/MbLGZ/dbM/mxmhyY5pszvLwORu+ulV79+AXsBTwJ/Aq4E3hpsbwEcOCL4fD3w6eD9mOBvI7AaGBscvzqU9rac9wXnhI+JOpfsujs/A84F5pBdmKg+2HclcFqQdwY4POL8+cBTwLDguz4NHJSzvQkYAazt+H6hcuR9r+BzGzCX7I/IJ4L/jZFdhe+2JMeE8ngBGFfra0Gv3n2pBiL9nrtvI3szXQa8CtxkZqcHu9e7+2+D9z8Ejgze/5OZ/S/wKNl1IGYmyKrccxqDfofHgXXAdcDRQVlXBfuOBmYEx7/o7o9GpHMkcKu7bw++60+BtwSvW919h7tvobzpx//i7k+5e4ZsQLrf3Z1sQGop4xgZxAbDioQyCLh7O/AA8ICZPQV8NPgcnm7azextZPtJFrr7DjN7AGgoln4l5xD0gYTSMeB77v750PYWYHtc9kXyqHQ67V057zM5nzN03ReSHCODmGog0u+Z2Wwzy60NHAi8GLxvDjrZAZYCvwFGAv8XBIL9gcOD/VuB4THZxJ1TrvuBk81sQlD2MWY2rcQ5DwEnmFmTmQ0DTiTbp/IQcGIwEmo4cFyFZRKpiH5FyECwF/BtMxtFtt1+LdnmrL3ILg70UTO7Gvgz8B2gHVhuZn8AniXbJIW7vx50Eq8G7nb3z+Tk8Yuoc8rl7s+Y2ReBX5pZCtgD/CPwcpFzfm9mK4HfBZu+6+7/A2BmN5Ht/3mRbFAR6TVaUEoGrKBZ6E7PDqMdtHrj/2BmLwAL3P21nspD+h41YYkMfO3AyJ58kBCoJ9s3IoOIaiAiIlIR1UBERKQiCiAiIlIRBRAREamIAoiIiFREAURERCqiACIiIhVRABERkYoogIiISEX+H+RwFwdRYYqRAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# v0.16\n", "# i.plot_psd_slices()\n", "\n", "# v0.17\n", "i.psd().slices().plot(['x', 'y', 'azavg'], invert_x=True, xlim=(0.3, 100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applying PSD power laws is covered in the [user's guide](../user_guide/Interferograms.html)\n", "\n", "Direct access to the slices changes similarly:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# v0.16\n", "# i.psd_slices()['x'] or ['y'], etc\n", "\n", "# v0.17\n", "s = i.psd().slices()\n", "s.x, s.y; # and so on" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The changes here can be summarized as:\n", "\n", "- `.psd()` now returns an object instead of arrays.\n", "- Use that object as you would any othe prysm object to plot or interrogate slices\n", "- use `prysm.plotting` modifiers to add models to the PSD plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## New Features\n", "\n", "After much ado about the changes above, we now move on to the new features of the library.\n", "\n", "First we show the new analysis metrics for PSFs:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.8716122058823547, 0.8703811151960802, 1.1756916053921591)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# FWHM, 1/e, 1/e^2\n", "ps.fwhm(), ps.one_over_e(), ps.one_over_e2()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Units are now farmed out to `astropy.units`, which means you can do things like the following:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Angstrom\n", "mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from astropy import units as u\n", "\n", "pu2 = NollZernike(Z11=1, z_unit=u.um)\n", "pu2.plot2d()\n", "\n", "pu3 = NollZernike(Z6=1, z_unit=u.AA)\n", "print(pu3.z_unit)\n", "\n", "pu4 = NollZernike(Z3=1, z_unit='mm') # prysm maps strings to astropy units for you\n", "print(pu4.z_unit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are all properly converted when classes interact:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ps2 = PSF.from_pupil(pu2, 2)\n", "ps3 = PSF.from_pupil(pu3, 2)\n", "\n", "ps2.fwhm() > ps3.fwhm() # 1 um of WFE is much blurrier than 1 angstrom" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting now has a universal grammar as shown above, where all classes have the same `.plot2d()` and `.slices().plot()` functions. Note that:\n", "\n", "- classes have a ._default_twosided cls attribute which controls whether the slices default to being twosided or one-sided. The default value usually aligns with what you want, but you could change it either on a case-by-case basis in the argument to `.slices()`, or by overwriting the cls attribute.\n", "- azimuthal slices are inherently one sided and have minimum values of ~0 for the radial parameter `r`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two new Zernike formalisms are supported, `ANSI1TermZernike` and `ANSI2TermZernike`. Both of these quack like the other Zernike classes, with the change of the two-term option taking `A` and `B` coefficients (cosine / m+, sine / m-) that separate `n` and `m` by an underscore. Each supports expansion up to arbitrary order (at least n > 1000 is tested) without numerical precision issues or other errors.\n", "\n", "They are implemented on top of recursive Jacobi polynomials and afford some speed benefit over the older Zernike implementation (2-3x for common orders, increasing with incresing order). They are also cached just as the older Zernike implementation. In v0.18, the older zernike implementation will be refactored to be based on this one. Performance is constant time when using the caches. On the laptop this documentation was written on, a 2048x2048 grid of points for a Zernike term of arbitrary order can be generated in approximately 20 ms. At 256x256 the time is approximately 0.5 ms." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from prysm import ANSI1TermZernike, ANSI2TermZernike\n", "\n", "# some trefoil and 91-foil, As are cosines and Bs are sines\n", "pu = ANSI2TermZernike(A3_3=1, B91_91=1)\n", "pu.plot2d()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 2000th zernike term!\n", "pu = ANSI1TermZernike(Z2000=1, samples=256)\n", "pu.plot2d(interpolation=None)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# free memory for QBFS and QCon examples\n", "ANSI1TermZernike._cache.clear()\n", "ANSI2TermZernike._cache.clear()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Greg Forbes' Q polynomials are also implemented, again based on recursive Jacobi polynomials and supporting unlimited order. The QCon polynomials have similar performance to ANSI Zernike polynomials (within about 10%). The Qbfs polynomials have an extra 2 terms in their recurrence relation and are about 40-50% slower as a consequence. That said, performance is still on the order of a millisecond for a 256x256 grid at any order." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from prysm import QCONSag, QBFSSag\n", "from prysm.qpoly import QBFSCache, g_qbfs, h_qbfs, f_qbfs\n", "\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# some crazy oscillations put in with a 250th order Qcon term\n", "pu = QCONSag(A1=1, A3=0.5, A15=0.1, A250=1, samples=1024)\n", "pu.slices(twosided=False).plot('x')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# some crazy oscillations put in with a 400th order Qbfs term\n", "# these are 'real' and not a numerical artifact\n", "pu = QBFSSag(A0=0.01, A1=0.1, A400=1, samples=256)\n", "pu.slices(twosided=False).plot('x')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhaps you may wonder how many pixels are needed to sample a given Zernike term. This can be calculated now:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "32.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from prysm.zernike import zero_separation\n", "\n", "2 * 1 / zero_separation(n=4) # primary spherical" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "800.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2 * 1 / zero_separation(n=20) # 20th order spherical" ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }