diff --git a/docs/faq/Orientation_Of_Orbit.ipynb b/docs/faq/Orientation_Of_Orbit.ipynb index a0e138ee..89c28905 100644 --- a/docs/faq/Orientation_Of_Orbit.ipynb +++ b/docs/faq/Orientation_Of_Orbit.ipynb @@ -2,6 +2,7 @@ "cells": [ { "cell_type": "markdown", + "metadata": {}, "source": [ "# Defining the orbital plane with $i$ and $\\Omega$\n", "\n", @@ -19,12 +20,13 @@ "\n", "In the exercise below, if we randomly draw orbital plane orientations using either an uniform or sine prior for inclination, you'll see that the uniform prior causes more points to cluster near the poles, whereas the sine prior is more uniform. Note that generally the edges of the sphere look darker merely due to a viewing angle effect. \n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pylab as plt\n", @@ -65,36 +67,11 @@ "x_uni, y_uni, z_uni = spherical_to_xyz(incs_sine, pan_uni)\n", "ax2.plot(x_uni, y_uni, z_uni, 'b.', alpha=0.1)\n", "ax2.set_title(\"Sine in inc\")" - ], - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "Text(0.5, 0.92, 'Sine in inc')" - ] - }, - "metadata": {}, - "execution_count": 4 - }, - { - "output_type": "display_data", - "data": { - "text/plain": [ - "
" - ], - "image/svg+xml": "\n\n\n\n \n \n \n \n 2021-09-03T15:57:08.877631\n image/svg+xml\n \n \n Matplotlib v3.3.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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9y5kzZ3rZyLM2l8vFwMBADyaq1Wpks1mSySSVSoVWq9XLdo6y3X7UnjWm/qx2EnZQ3x+otNbs7Ow8k/N/2u1xxdCnpSlqrXnw4AH5fJ433ngDt9t96LEnNaUUgUCAQCDA2NgYlmVRKpXIZrPk83nK5TLxeLwHQ56k6PqiBXXb9l+XDa8WCoVe38eLYC9kUN8PtxzEADhuUN9fUNJas7Kyws7ODq+99tqJto5PcrhmE8pl+TkQkN8rFfD7vYyMjOD1eslkMgwODpLL5Zibm6PZbBIOh3vFKafT+dTXcRx7HkH9IHsRF+rHac+Se/7osY1Gg5s3bxKJRHjjjTceOvejQf2gbuSTBn3DMHpF11qtxsjICO12m1wu91DRNRaLEQqFjuRnz2LnaJ/neVulUiEQCDz31zmqvXBB/Sjc85MG9Varxa1bt/B6vVy7du2pnKbZ3PuqVOxrh0IBlpYUqZTC6YRAQJNMKrQGpeDSJYtWy6TZ9HS3rEFisXEcDotarUAul2N9fR2t9ROLri9qUD/oXC8SB/qTsqPQcE+aqWezWe7du8e5c+d68N9hx9q/P86aTchmYXcXMhlwOMDng2oVwmHo6xO/74opAuB0wvy8h3LZxfh4mFgsTiwGbneLSiVHMplkfn4et9vdS14OK7o+K99+ln4NB79vp0H9MXbUVv+TwC+lUokbN24wMzPD4ODgY49/nENlMk5+8zc1GxsGhgEbGwYeD+RyUKvJAtjeBlD4/ZpCQVGvQ72ucDg0Xq+J2x3E5XLz5psmY2OagQGN223i80VptaIMDcHQUJtq9eGiq80+sIuuL2pQPyhTbzabJ4KYPgt2XO75cTL1TqfD0tISu7u7vP7664e+x4/LxMtl2N01yecNsln5fW1N8d57Bu++C1tbEtDLZRgfl0A+OSkJTLMpvj86Ko/n833097vp7ze5eFHj9UI06iIS6cfn6+ell8A0az0K5WFF16dtrLPtWWX8j7PToH6AHbfV/zgfttaaarXK4uIiV65ceWJX6H5Oe6ulqNc1rZZkJVtb8A//4Ribm04yGXC7FaGQxu+XoN1qafJ5RasFjQaEQopaDVotqNfleL8flDLQ2kWxKH8bHTWo1zW1GhgGxGLwx/+44vOfTzA0lGBoCKBJuZx9qOjqcrl6rf5PuwCed1Avl8sPyah+t9h+CeijNMkdJ6i3Wi3K5TLRaJSrV68+UQfo0aBeLsPODty+bVAsOrh5M865cwb1uiKfh4UFyGQUliW70EpFA4pkUlMuQyqlCASgVAKvF4pFTankRmtFLgelkmJwEBYWFOEwuN3wxhua7/s+Lx6PF693mMFBjdstRdf9vR/VavWh7s+T2rPegR6WqT+vutxJ7BMP6rbTv/3223zuc597pphru93mzp07tFotLl68eKQ2/3bboFTSdDpw545ie1tx756JYcC9e3D3boB2W7LvdhtcLkUmo2k0wDAUuZzGMBTNpqbZVHQ6shDabVBK026D1iZKSYbj8ym2tyESUdi+Vyho/vk/N+h0LFotyfBdLjeXLg0yNjaI06npdGqsr6+Tz+d55513CAQCvUz+ky66HkSPLJfLL1Q287zNrgttbW1RrVaZnJw80vtrZ99Psnw+z507d3A6nZw7d+6Jx0tHKSSTEsyrVZibM8jn4eZNhdtt8O67QfJ5g0BAk83C8jIUi9BuS8LR6cDysiQ5Xq+i0dB4PPI/FQqyBtptRblsEosp2m1NpyPfTVOC/N274HQqUimDZlPW0A/+YIDp6YeLrnNzczx48ACASCRCLBYjHA4fu+j6rDJ++1wH3SBOM/WuPco9tymLz8pKpRK3bt1icnLyyJ2e2Sx88EGYnR35+e5dxfKySToNg4OSsYCmVNJYlji5xyNO2unY2Qz4/VCpKIaGJHA3mxq3W+H1KlwuTaPRodHo0G6bOBxQKmm0VliWnDcQkED+y79s0m5rqlUDw9AMD8M3vmExPKwYH/cRi8VwuVxMTk5SLpfJZrMnLrrCsytiHrTlrVarL5TjP0/bv/MEejvQo5hhGL01cdi5V1dXSSaTXLlyhQ8//PCJ52w2YWdHceOGl29/G1IpKJcdOJ3gckm2nk6bVKsWuZz8LkmI+LDPB+fPayYnYXFRMnTQRKMQiWg8Hrh0SWNZinS6SLEYZWLCSb0OSlk0m4q5OQn84+OKVstgd1fWTTKpSadNvvY1i1df1bhcBl5vGL/fz/T0NG63m3w+Ty6XY3l5GcMwen59lKLrx0EAeNF8+xMJ6o/CLUfZlh7HNjY2WFtb4+WXXyYQCFAsFh9bqCuXJYP5vd+D3/mdBKGQYndXAnOxSDdLkYDrclnE4xAMCvRib0vLZQnwsZgsgnZbs7EhW1NQeL3i/KapcLkkazeMvQnsbrcsEq1tyEixtKSp1RSmqXG5FKWS5r33DL7yFVl8rdZe7SEYDBIMBpmYmMCyLAqFjxZd7WzneXe62v/TfqtUKt8V8MujdSGHw3Es7vbjejBarRa3b9/G7XYfqdBfLsPGhsAo29smd+74MAwpaNZqUCwqnE6Nz6fweDThcItq1YPPJzcCEFhlYkKgxPv3BUIZHYVYTPPyy/L8SkUxNQV37kAg0CEQ0PT1wdKSwDf2BrlSERhyc1OgTIBCQdbGb/6mwdqaZnpaoxSUSk4GBhQ+n0k8HicejwN7vR+PFl1jsRh+v/8jfvdxBPUXbRf6sQf1wzBGm6HyNB9Ap9Ph7t27aK25du1ab6v2OJxybQ1+/dcl+C4tgWVJlr6+bkMSEqTdbgm8lYqFYWgMA8JhRa2mMU1x3FZL43JJllMu26wY+f9qNcn0HQ5wOCz8fs3goCadFgjGMASqOXtWnrezY8M3ku27XDA0pFhc1DidildegXbbpK/PQbMpj9u2P5uBvU7XdDrN4uIiDoej9/jz6HQ9yF40x3/WdhgN9yRF/YOOLxaL3L59m6mpKYakyPJYy2bFrz/4QAK7z+fAsgxcLnA6NfV6k4kJJ8Ggot2W17OsGpYVJBaTYLy1pQkGIRiEixctvv1tA78fVlag0RA8fWpKEpHlZUmEPB6pCxUKspMNBCCbFd+Wm5z498CArBPLkl1suay5fl1x+7aiUoFAIEo67eTKFRgZkWQJDu79sKmTlUoFv9/fgyG9Xu/HEtTt131R7GML6kflnp/0AyiXy9y6dYvR0VFGR0ePxMFNJuHnfx7eew9MU5ytUjEpFjXtdgPDaOLztYjF2iQSDnw+LwsLch7LsmEVcepqVZy0UJAi0f6Ablsmo6lUwOFw4nZDKCSZD0gmPjUl29xKRYJ8Pm/fKFS3CCXb2HJZUS4rDMPFxESH7W1FOKyZmICDiD2Pdro2Go2PdLo2m81eNv08uOSf5aD+OBquLfl6VHs0qGut2djYYGNjg1deeeWJwcOmIr73nnxtbEhmHAyaaO3g3LkOHs868XiHcLgC+PF4wpw960HrWvcaBFbp74eZGU0iIYmN3y+PRaOKWEzj92ucTvHLpSVJZIJBg05HkUoJHTIchlpNEwwK6WBsTBKQeFx2uLEY9PdrtrYE1snlJJkZHHSwtOTgxg2TcBh+9Ec7nD//0f/X6/Xi9Xof6nTNZrO9oqvH4+ntno4juHeQPQ5TDwaDT3XuZ2kfS1A/Cvfcdv7jFELsLe729jbLy8tcunSJUCj0keMeXSjlsmS/778Pq6uyCCoV2WqOjDTw+XKAE7c7wMyM5vu/v87iYo3l5SxKKXK5Kn6/g0zGyUsvGeTzmnBYsptiUQqjjwZ0EAzRMMDl6hAKWXQ6EtgDAbnpTEwINlkoQCIh19doyCLQ2i6+StY/P69xOh3kch4WFgxCIeEO/+RPHuz8+83tdjM4OMjg4CBaa2q1GtevX2dpaYlqtUowGOxl8s+Khvii4Y7Pyp5Ewz1JULePb7fb3L17F8MwuHbt2hNhs2wWbt+WXebcnBT20+k9dkq9DltbKa5ejXDtmo9YTJNK1YE8169nKBabxGIbuFxBZmZ8rK05CYUkaZmY0Ph8Fisr0n+xsyPEgNu3FfIvC4W3WHQSi0nw9ngUw8MWuZwiEBCW2NCQ7DS1FlbY1auaYFBjWQY7O5DPKxoNyGaDOBwmq6sC8ayvm/z5P9/h7FnJ/g+y/Z2utuDexsYGu7u73L59+6kF904x9a4dlXt+XOe3NUbsO/LVq1cPLQjamXo2K1vHuTnJzBcW9rjl1SpEIhbpNDidHoaG/LhcFmfPaoJBN6++6mZ0VIZn1OtuDKNDpVJjY6OCw+EmkXATjzvZ2XHQbkt2LbikMAQMQ7KdTkey/GLRwOGQ7WqrJXh7JKK7UIomFtN88Yvi/H/wB8IqEGaBcH8tSzD/dNrD+rrAP1tbml/8RZOf/MkOAwMPQzKPex99Ph8ul4vLly+jtaZUKn2k09WWF35S0fUwtoHNR/6s2FFpuCcVnyuXy9y8eZOJiQlGRkae+LxsFn7t1ySgb2zILrRYlIw4GgXLqgMtxsZilMsulpbaGIaiWvUzPu7j2rUmy8srnD3r5caNIqur22xs+KnXvYRCAVIpJ1NTmslJzeoq/P7vSwZdKEhC1GhINu5wNHE6BTMvFu2/yTUEg5LhdzqSjff1gV1vGhvT3YKtHF+tytoslyUZevddTTRq8uUva776VevQwP7oe+nz+YhGo0xPT9NutykUCicW3Hsc/PJdkakfl3t+XOcHePfddxkaGuLChQuPhQzabYPr1zW/93tS+a/V4OJFWQBbW5KJuFxtTLOEx2MyOenE51NEIrC7a1CpCKUrEtGcPVujWlU0Gm609uDz+cjn26RSVXZ3WzidEA67iUadKKXweiEe1+Ry0lFarUIo1MKyNNGoC69XMM7BQcXOjtDLnE5ZBNGodKBevSp4v8slW9pIRHc5xppi0aBelxvD5KRsce/dEwhoelofyfkf7TQMhUKEQqGHiq62Qp/W+iGd7Ued/HGOf5Tg9Gmw40zcOipFcf/xdkC/fPnyE4NFtWqwuAhvvSU7O8sSX/F4ZLcnGu01LKtNpxOg0XATDkuB37Ikyw4GNYGAZnHRoN2OMjoa60KJbarVGlrv8vu/X2V72yAcDtFuh2k2TTY2ZMcbCAjMEo+LXw4MaJJJmJmRRGZnRxInp1MTiUjvRqkktaSdHY3XqwgG4cIFSbxyObk5FAqerm8LrLS7C7duKSYn4ezZoyUt+yETh8NxYNF1e3ub+/fv43a7H5py9ujnephvN5vNnsbOi2DPJajbyny2HOWz5OcCpFIpyuUyr7zyyhNJ/80mfPihi3/+z0M8eCAB3O0WWCMeh5ERjVJVcrkOkUiIWq2MZQmvvK9P6IaZjARkpSCdduHzSZB3OjXZrEGj4SQQCDM+DqFQm42NNuvrDVotCQCJhMW1aw52d92k04ps1sDhaNFoCB++3ZYAbVkC39iO325rdncVr76qOXdO+MHVKszPG3g8ip0dg2i0TTgsWP3wsO4WbBVra7IYLl/WT3T+x9UyDiq65nK5jxRd7WznMMev1WqfiUzdVuY7KmvrODvQTqfD4uIi9XqdL37xi0+EIrNZePvtCN/+Nrz9tvi0aQq7JRKBXK7D7m4et9vL5GSQ3d0sLleASERqP7WaHA9w/brJ5qYTp1PR1yed0AMDThoNJ+FwkERCMz5e4YMP6qyvJymVFImEi2AwQL3uJ5EwaLXANDtEowL1DAxIRn7+PLjdmpUVIQvE4zA4qAkELBoNSZ5qNYGIAgGoVjWtloV9P9vZkWLq5qbUpfr7Dcpl2TXEYo8P7o/z7cME9+yiayAQ6Pm+1+s9kTz1J2HPPKi3222q1So3btzg6tWrRy66HcX5Lctifn6eSqXSY248zppNycZv3/ZSKokTN5vCQIlExAFXVyt4vSZjYwEGBw1SqTamKeyWdlsgjrk5qb5blkJrxcCAJhwWdoBcO4yNScCNxRwkEo6uQyqy2TamWWFjo0yj0aHT8dNuu3G5JEgnEgINDQ9rHA5h42SzctMYGKBXiA2H5XWyWWEjSNCHQsHJ1JRkZV/4goXWiq0t1btxBQKakZHDcUj7fT2qszocDvr6+uiTvXOv6LqxsUGpVMLlctFqtT5SdP20F0rtnefc3BzhcPjYA1qeZJVKhZs3b9Lf33+k2lIyCb/7uzA3F8DrFb8IBMQvRkdheLhCNlvi0qUQ5bKPYrGDaVp4vVLsLJUUu7ual16ShOD+fYNCwcWdO4qZGU0upzBNWSvDw0Ktzef9OBwBoA/L0uTzdeLxHKVSlmbTIBZz43A0GBoSZtfsrEWhoLrsF5ia0jid4s+JhGZiQpNKSWbu88nfg0Fh1SwuWiQSmlBI6k71umT0hqFYXITtbaEUX7mi+dznDk9cjuPbXq8I7o2MjLB/wpoN8RqGQTAY7E1EgxdT0+iZBfX9cIvNzT0Oi+JJmfp+wf9z585x48aNxy6WZlO2o9evw9qaSTZrdmEWCZCRSBNIMzsb5uWX/VSrgkEWChbr6wbT07KFvXjRolAwcLs1qZQiEul0O/I0oZBQtQYH4aWXJDAPD0uw/tVfNXn/fekedblCTE+H2Nqy2NpqE4lUgAYORwOXy6Ra9eFyOYjFZOfQaEgmlUzC3Jxskc+c0b2MJhTSXdpXB7fbYGpKJAomJoQi9v77stP48EPZFQwPw1e+cjgO+TSso0eLrul0mtXV1YeKrqZpUigUjh3UlVI/APz3gAn8nNb6bz3y+FeBfwcsd//0r7XWf+NE/8hjbD8N1+FwHFtM7kmWTCZZXFzk0qVLeDwecrncY4+/dw9+4RcE1njwIMDIiDCmXC7xDcvKs7NT5PLlYfJ5J2NjdHHuGkpJ4jA5qRkdla9cThKEbNakWoV83mBkRIJpNKpxOCTAr68rNjeF2RKPG4yOenjttQGWlgxKpSbNZhmns8j2doVYzI1pehkfjzEx4aFSgffeMyiVoFpVjI5qGg3VC/QijmdQrQqNWGuBZwRGFJjH6ZSbi90A5fMpPvxQE4l0uHz54PfqpNov+3s/7KLr/fv3ezMY7N6PQqFwoj6b5+nbzyyo2/P99utnH8ceh6nv7u4yPz/fE/yHx2dAzaYUQ//lv7RVE11Eo00SCQ/9/VCtVsjnq0xNxTFNd69paGFBMuNIxOJzn7NZJ/Ta9/N5cbxwWDM+vpfNT09bzM4KA0Z4ufaVyLZRa5u6pXA6XcRiNbJZF4lEgK2tFkoVaTbz3UlKHtrtMK2Wj+FhRTyu6e8XeYEHD6RwOjSkWV+XDtRczuDmTWn22NiQQpRSsuBXVkR+YGnJVogUyuOjWc2z4vIqpXA6nYRCIc6ePdsrur711lt861vf4u233+anfuqn+Imf+ImjnMsEfhb4PmADeFcp9Uta67uPHPr7WusfeuqLf4zZhX7DMI5d0H+cWZbF3NwcjUaDa9eu4XQ6ezePw+zBA/i7fxdu3hS/rNehr08SDJfLYne3QKfTIpEYZWREipnj4yLA9Su/0sI0xTf8fjh/fq8DemZGk0rZmbRg3S6XFPZt+LHRkPVRr8PqqvRnFAqq23vhplp1UypVeemlBF5vh/X1POXyCo1Gm3Y7yq1bCUzTg9stN6BWS75GRyVjv3jRYmREsb4ObnedkRHF3Jw06c3MiF9XKppvfWuveSmVgt/8TYOpqYOTFvtG/LRmGAYul4v+/n7i8Xiv9+Of/tN/ytraGt/zPd/D3//7f5/p6eknnut5+/YzC+qGYTxVYDhosRwm+G+/3kHOXy5Lw8Xv/758dzohmzV46SUYG7Oo1dL099coFEY5d06y9+Fhyd5XVujelOSGFA7Lc5xOzdqawuOB1dUmkYjw0x0OUVh0uQTnVkpez+cTrYuZGQm8onGhqdelcLq66iYUajA46GRw0Ilh+KnXY+TzTdbXq6RSZVqtPGfPKlqtAG63qN41m4Lz7+7ShYA0tZrsDMbGhA7m8Qjnt9USOtvdu4rtbc3OjsmNG/D9329x6dLD29Xn1aBhF11/4Ad+gH/yT/4Jf/Nv/s3eTfkIdg14oLVe6p7rnwPfAB51/Odu+xMOh8Px2Db+o1qtVuPGjRsMDg4+VOh/XLJSLsOv/qq06lcq9s3ZIBjUBINN0ukdRkfDXLkSZXdXgrDdPXr3rmJpyU2nIzcDpeDDDwWbdrng1VfbrK1VyWQE/rMsKaAODWnm5gySSSnC2lCjUvDyywIZ2oyuQgGKRZN6XREM+kgkfMzMDLOy0mFhoUY+36DVKtBsOrlxo0UkEmJszNPTgcnlFNGo5vXXNcVilVRKak61mtSUJic1+TwsL4uaZLEo9aOtLVm7BxVPn7Vv7y+6JhIJ/vJf/su8/fbb/OIv/iLhcPiop3quvv2JC3rZdhzB/4OOB8nQP/gAfvmXhX9eLAqDxOnUxOM1yuU8sZiLkZFxFhdFTdHtFqesVsXZz5xpoLWPSkWw6wcPDGZnpbPONOW85bJ0udlZ0oMHBrWa8GtlIcjWtVgUNsDwsJy7r08yatNsMz5eJR4Pdbe3kqm4XC4CAQ8Oh6ZWswgGq8RiGXZ3M6ysuGm3Y+zuhujr8wCKUknhdAqd0TTpam3IeyHde7orJwAg2df8vFzP/ialj0PCt1wuE4vFjtQN2bURYH3f7xvA5w447g8ppW4AW8Bf0VrfOeYlH8tM03xo0PZJzB7mfPHixd58W9sOC+rNprBatrbEVxsN+awvXCgRCllsbBTo70/Q1+en2aSbgMhnL0wYhc/XwbLE510u8X+/X9bJ0pKBy2WhlPi2x6MYH7dwOuX50lUt/i1rRvWKstGoFEGFGKCo1VTPD69fV6ysOGk2nXi9smPw+VqMjWUolbZYXCyRTMbo6/MzOBgkGHRx9qwmnS6yvq6JxYQZMzoqSZFpSj1sYEDTbgsd8t49+K3fMmg09EeIAR+H+qjf7z+uSuNz9e0XJqjvz9QzmQxzc3OHCv7Dwc5vN18sLtLThR4dhXC4jsORJxQaZX3dz9oa3YwEZmfl53hcFk616iQWswcBKG7fFmyvUpHmCodDKvn1utwMWi35bk878vuluPTmmxatlsAkuZxid1egE+GiK9JpZ7fd32J3VxgA29uKzU3h605Pm/T1+Zmc9OFwjLGx0WJoyNa8qNBsBjDNAP39ikrFRSYj7IF335UmjlptD/NvNARHdbthaMjgO9/RfOlLVq/1+uNqpT4ml/egu8yjmN4HwITWuqyU+kHg3wJnjvMiR7qQp+gQtc2WSF5YWKBcLnP16tUDOxwPurk2m4Kjf+tbkpGGw7Z/atzuFh980KBaHaXVMpmYgAsX4OWXBTpsNOR7raYoFp0MDe0V2bWWmo3c9A2SSRcejxToTVOgGJBjSyXx9b4+eOUVi1aLHvRSKimGhgQjz+frJBIWU1OSqCwuShZuGDA7q7tFVJPJyT7y+X4sS+NwNCgWiywtrROLVTFNL5ubTjY2LLa2TBIJkciYmRF2V60G/f1w966QFwoF2Yl0Opq+vg7j43vv3bOW3n3Ut08oEfBcffuZBfVHnfG4Wi72UNfFxUUymcxjBf/ho0G92RSpUDtgl8tgGJp6vUo4nGdw0M3YmJ/lZcHGgW5hSRzW6bSF/5ucOdPpDsCQ9zmRkGxmY0ORSrnQ2mBrS5onWi2DdlvOOTQkFX2ha8k1fPvbBnNz8vj4uGRXr79eIRBoEY9bVKvSiRoMSvYRCGhiMYP+fmkyshfP7q6bdnuA8XGN16t58KCJ31/A6cwRCOQZGTEJBn2kUgG+8AUHa2siANZsikaNx0Nvwebzivl5xWuvSVbzcQT1er1+3NGBG8DYvt9HkYylZ1rr4r6fv6mU+n8rpRJa6/Txrvro5nA4jq3zrZSiVqtx+/Zt4vE4r7322rF2Rmtr8Nu/LTh6pSK+ODDQod1OYxgQCMS607RsCJGeBrr0QUgwzuWaTE3J42NjFhMTwqKpVOzga+D1ymP1uviMywUjIxbFoui+iFSFQT4vWXN/v8B/oZD0SkCbM2eEVPDggQyM8fuFqptIiP8Vi1IABdkxjo+7aTb7gD5Ms8P771d48CDP6moe07QABy6XE6fTS7OpiEbh1VeleLqwIEnS9rbsYBIJxR/7Y/pjS1hOyOp6rr793DJ1O6M56huqtWZzc5OBgQHeeOONJz7v0aCezcr21M4olLIwzRqZDLTbAywvl2k0BGdutWzse68Nf3tbsnXp7OwQDksRpq/PotUy0FqgHI8HvF4Ln0+aLTIZRX+/bEnPnNH4fHI+l0sWi13Fr9dFXtft1pTLDny+Fum0olSSm8XMjGRG09MwNiZSAZGIJpsVSlihYHefCo64u+slGCwRjycYHXXjdFbI5cqUy3lqNQO/38vAgI9Gw9dr9tBaug0HB+XGl0zKjeZZO/5hGhvHfI13gTNKqSlgE/hPgD+5/wCl1CCwo7XWSqlrgAFkTnLdR7WTZOqWZfHBBx/w0ksvHaemAIhf/8qvCJNredlu92+zvFxlfDyE19sGZOdYqYhfx2Li52fOCIR47pz4eT5fQ2sJwJYl8rn2Rtjj0UQibS5c0CQSmu1tgVFkVrhkyB4P3f4M2fVVKrCyskd97OvTBAIdqlUp6u+9TfJ8v58uR1782OGQdWLHRMHVTXy+MH5/nuHhOI1GB5erTqWyw+ZmBqfTTy6XYGcnTCTiIZGQ+lU6LQNqvvlNA4dD841vSOH0eQf1E2bqz9W3n3tQP4qWdz6fZ2FhgVAodCTBf3g4qGezcOOGCBe53TAx0WZpqUQ47Ka/30sw2CASaeNw7GHJpgmXLws8Y1kSwH0+qNVkMEWxaHeaSjYCsLkpEIrTSY9va1myPQUbu94r1tjBPRSSTN00hQ3T6QhHXpg18nujoXva1Y2GZNDDw7qnvbG1pajXFZmMFGJlQlKH0VHNl75E17HEuXK5JtVqnnx+nW99y6DV8tHphDh3zsXSkof79yGVkk7EP/7HO/h8z9fxbejhOKa1biul/gLw6wjt63/WWt9RSv3n3cf/HvDDwJ9XSrWBGvCf6OdAHD4p/GIX+uv1OlevXj1Ql+hJZndjulwSDDOZJtAkEvGTzZo0Gj4uXuzgcEjAzeflObbfVKv0CufJpIu+Pun07HR0t1dCivexGChVw+mEZFJx965iZETW1PS0BGMZx2hryNANmvDSS8JHP3dOMzdnsbpqkM0Krh6LCc1yclLWTD4Pu7uqB1sGg3sY+NqaoloV7Xefr9PVRTKYnfUyPDyJaU6wsNAgkykzN5fHMNq43T78fi87O54uM0exurrX6fq8CqW2nWRAxvP27ecGvxzF+fcL/p87d47sHhfwibankSFb07U1us1FVRyOLF//eoxazdedDyrbxv5+ycbtiv3oqATkXE6KSv39ImfbaimUssjntxkZKRMI+OnvjxKNujDNMmNjfqJRJ5UK/NqvmaysyMLo69O9m0Y2a4+001iWcMzjcRgaglRKMnp7elK7LQ7v9coNZGNDxn9VKtJEFI/rrua6LIhz5zTnz2vu3u0wOmph98HYEryxmItyuZ+NjX7OnVM0mw3eeqvJf/yPZbLZKu22m9lZhcvl4Xd+x+BLX3q+Q6dtO24xVmv9TeCbj/zt7+37+X8E/sfjX+XJ7ahBfX+hPxqNPhWtLpuVZMPvr+FytXC5grRaJh6PFCaVEihwcFB8zpZrfust8Ye+PtllPnggwWd1tU6xuIFSBrVanHjcRyikaDTaZLMiRpfLyY4xkRC4A0SR0emkJzg3Pa1ZXTUoFEQ1tFLRVComAwPSb7GwIJ93JiOCXpcva6JR6RYtlRTptOLGDYPxcVF8FAhFdQfQKMbHdW9HbZpS3LUsL6OjXvx+RTrdwbLqNJsF1taalEoOOh0H1apFPu8gGn16Oe/9dhDn/aRTj56nbz+3TP1J2OOjgv+lUunYwkedToedHSkiNRqajY0CU1NZvvKVUUzT1cuonc4ma2tlBgcHKBYlW7AHUkjTg2Qi0hWqcbvrrK9vEQxG8PsHWV7OU60ukU47CAQaaN3A7/dTKIg8bjAoQlt2pj43p1haksdWVhQDA/JasZhsCQ2jQyJhUalobt1SXV1p2Q7b0JDTKdlVf79sXTMZecyypOgUCmm83jaBgDBsslnV4/3292vu3DEoFmFxUTE76wG8dDoQjyvm59tcv94mGi2idZW+vjyzs89mARyWqT8POd9Pwo6CqWezWe7du8fZs2fp6+vj5s2bJyquZrNS9Pf5WqRSRaJRDx5PGBmbKHBIpwPhsMCBdrJif7e7MZeX5TzFopPd3QrlcoqrV/vpdBqkUjl2d9cAL253C62b3UHRwhrzeqX7E2yarGJxUXUFtyTwnj2ryec1pZLUscplA69Xd2U1DGo1gSmHh0WhsViUJiZ7Zsr8vIjV3b6tepTJdtugWJTuUnt3Wq1K01G9LjuQ6WnFyIiXQsFLPm/Q6bTI5ZqkUhX+9b8u0t/v5MKFGiMjT09Bte1RP65Wqy+c/MUzDer7dcsfl9EUCgXu3LnD9PQ0g93U9iQSpdIAAFtbHWq1XSzLzWuvTTI8LLzac+ckmHo8ilqtRSQi28GBgT2BoFZLcEfRRxc1u3x+m8uXz5LLBQgE2pRKAQYGNKVSm52ddRYWGvzWb20SDJokk1FmZ13U604KBdnyzc8rlpcNCgXJPoJBea3ZWQnWw8PiZLWaLBJ73Jc9/WhrS2AeKWjJ+9lo0Mt8RI9as7HhotFwsb5uMDoqBSO5kcguYGxMYKWdHdkl5PPCwR8bE21tl8tDpRJkY6NFNLpDLvcuPp+Myds/2f04dlBQr9frz0zC95Owo8IvWmuWl5fZ3d19qNB/Ehx+dVXzS7+kmJursrBQxucLMTjowbIkoI2OCqZtGB2KRUUoRK/V3t65FQoSzKtVgVscjiaNRosrV8Y4f96i0fASDEYxTY1SdbLZbZaW1tnehlotSD7vZWDAC0jhfmdHEpBGgy6coonHRRwsm1XdZjwDj8eiVpNrKRQ00agEa3s3PTAgfHPRn1E96Y5WS2YFgGZx0UuxKP/TlStSX1pcVCgl3xsNETPz+wX68flgY8OJUk4qFT/V6gArK3XC4Syh0BKdTuchtdFn0ZAEUig9Caz2PO25Y+r7TWvN+vo6m5ubHxH8P67jm6ZJPt/iww+rJJNF/P4QZ8748Pvp6VvY3XLBoMHAQIOBAcET63XJgjodydpv3JDjyuU0w8Mprl0bIxoNk0p1ME2hSyWTinzeRa0WIZEIMDTkxuVq0G5XWF3N0W5LG/T2to/t7RClkmTQpkmvyGpj5iCdeA8eSMu11lLoajQksw+HBa6xdxEbG6rX+BEIKNJpWahOp9WVVRVGRL0uCyWdFuzdLrZKsVbYCcWi3NiSSd2dqGRy926Uy5dNrl0bpFqtPjRkwF4IR4UQHsfl/SzYYTuOZrPJrVu38Pv9XL169aEdz3GnH5VKTv6X/8Xid3+3TirVob8/jlJmd0cm/uRwSAIRCGhGR2UHaA+zEG0Vuj0RoLXFH/xBnnYbzpwZQGvFzZsdtJaazcAAhMNeGg0nX/nKFOvrHW7ebFCplJibS1IuW+zsBGm1YpRKbkwTvF7p3XjppT2hOWG1mJimgdstNF2hb4usxc2bRrf7VITm+vtFcvfBA8XOjt1qL35pmkIwcDqFwbW9rVhfN1hfV2xsaPr7VZcyKXCRUCvlxlAq2bLDblZWInz960OEQkZPbXRlZQXDMHrJSzAYPPFO8kVUH/3Ygnq73ebOnTuYpnmg4P9JdKfn52t85zu7JBKDFApulBIoplCQjHhwUAJYuy07iEBAMoxmUwKszeM1TYvd3SyVSot4fJzdXTdjY3KeQkGKOaapmJmB69c7uN2ih+H3u/niF520WhE6HQulSqTTRXK5DJblwTACTE97GBx0EQzKNbXbMjFpednJ2ppgkS6XNCW125Jpdzrg9+8VkBwOWRwy3V00Xjwe2NwUPHNsTGRLV1aERtlqSf1AKc3UlEUuZ2CasjgCASmO/eqvqu5NR2Qd1tY8vP66wu/34/f7e5Pd7YWwurqKUuqhhXAQVHMQl/fTLub1JMvn89y5c4fZ2dkDhb6Om7CUyw7m57fJZCLU6wGWl0W/xx4s4XLJ5z82Jv0IGxtCP7T7MpSSgF+vg2k2SCZ3GBqKU63WCIcViYRo9heLIrfr8dAdvuJgZASmpkx2dgJAoKtWWsMw8mxtbbK0ZNDX5wY8TE/7CQRknGKhIFl8vW5gWXJNhYIM15iZsVheVqyuGgSDQrW1d5bptAT/dltE7OyubGHIiK/H47rX0RoI6K7Qnu41Vi0sCEQjjU92nUwzPa26u1dFNGr2fBfkJpzNZntCdPYYvFgsduCu8rAa5Ys2yg6eI/yyH3sslUrcunXrsYL/x5HetSyLhYVtvvMdDxsbo5RKJsGgZCb2fcEenAsiULS2ZuOE9EZq3boFhUKHTCaNYXiAOFtbGQxDcemS0P12djSlkmz52m2YmmowM9MkHBbMfmREc+OGQSbjwLJkosprr0Em06BeLzEwsEm12iES8dJuR+h0wmSzDnI5CcYiNyBSpDbbptnUtNt7o79kPqnmS1+SjF46AsHrzXP2bJihIUf3BiC4pp295HICudisiPV11esE9HhEBCyZ1DgcIlj2pFmntv701tYWxWLxQKjmIIbAi4g7HscOy+L2F/qvXLly6GDt4wT1SqVCoVBmc/Mc9bqPalX8WmvZTebzkoVrLXBeOt3CMDpd6EI+v2hUgqLg59skEsMEAj52d7MUiwIHbm4KNi5D1RVnz0qiYteF+vrE14Sq6AYGaDRUN8EpsbJSZXd3h3jc4syZAOFwnHDYy85OE6VkrdRqgn/v7EiGfeuWQIyjoxKM7cHtkQjcvi2SGqmUYn4e8nm7ECw3nmJRaJqmKRpGgcAeNVIkE+w5qDA4qFhYgLU1zdZWgLU1k5GRh33b5XI9JERn71Dv379Po9HoDWq3oZrD6kIv2tQj+Bgy9c3NTVZXV58o+H8cVsGNGzeo18M0GhHApCajFVlbk067bFaccXlZfs7nTdbWnLz8svwdJOi3WhWazU2mpoZxOiUrEXrh3odXLktm43Ra9PVpSqUqw8M+fD7dDcCCew8OSieo8NchkXDhdMYJh+OUyx2y2TKLi0W2tzMMDFRotcIEg0IzlFF0mq0txZ07BtWq6g7vsDh/XsTDZP6j4Orb2yIN0OkYvQlHa2tyzcGgiDOBsA+qVQnuN28qNjbk50hEUyhIB6AUizX1uvlE3fX9+tP7F8J+qKZer38kq3kRs5mntWazyZ07d3qF/scVmI8Kv6RSKe7efUA+38/IiJNmcw9qka5Qm3WyB8PU647eoBQZGC1Z6ocf5tndbXD58hR9fSbLyxAOt4jF5CZRqwnWHYkIa2VrS5FIOFBKCu2xmCaZFOEtoS8KJFivK5aWwtTrYfr7h3A6G1jWLru7m6ysVDHNDn5/Dojh8zl73agjIwKLNptw5oxFNCozULNZKbqCrLulJakBORwO3G4J3ErJDjsaFVrw0JCcc2dHYJdGQ9agTUNOpYTy2+nYImcGzebh8rxKfXSHms/newOtDcMgHA73qLn7g/tJ2S/P055bUFdKsbm5id/v59q1a0/EY4+CaeVyOe7evcu5c+dIpx0oVe91y9nSC9Wq0BO/8AV6k8uzWYPVVQ9vvy0NGdksbG1lWF5O8Y1vTJDL+VhcFE5uOu2gv7/dC9hAL8MfGIBOx3qoYQIEv9/ZUWSzcO+eYmREoJ5r12QhFwomjUYEny/CxARonSQeLxONLlKr1VlaSrC7G2JzM4jWRm8gdbW6R1Pc2FDcuSM4vHSfCsySz8vCq1b32sdB97ajpZIMFyiXJdOp1+V6vV75qtXk+h48cJHNHjy4+rDP6yCoZnd3l5s3bz4E1RSLxechu6u6j/8gUAV+XGv9wbFe5IRmWRbvvvsu09PTR9KyeVLCYvPZC4UC09Nv8O//fZLdXfnMwmHJaqtV8Qkb2fL5xAe9XotiURhSlgXJZIdGYxufz+Tllwfweg3icQmCu7u6t5v1+1V3Lq8E18FBjdNpPdQQtLMDf/AHBgsLkixMTemeIJgkRaCUi7GxIS5cgHrd4vr16xhGhRs3qszPB3C5XMRiAkHm85LBr64a+P2aSkUzNSVrZWFB4BqHQ3aly8sG6+vgcsmx8/OyDhMJCIclQJfLqitNYPeYQCgkPSaBACwtabzeAL/3ewbXrnWONAUMeAhvB7mBp1Ipms0m7777bm9EXiQSORG0+Lx9+5nDLyB3r8XFRfx+Py+//PJT09m01qytrbG9vc1rr72G1+ulVCoQibQYHBTnj8XEcScn96rsbrdsV69fh1zOwcKCiO3v7qbQukZ//1kaDZNIRGRIhUPeYL/cjDAHJKi7XA9DTCB/i0Q0d+6IvovIhoqYll2odTrFAatVwco9HoO+vgBDQwNo3aHZrAMFMhnpDM5kggwP+/B6nV3nlUy8Xlc9+CWTgWLR3RUTkwKUPepOKXHyRELwRdGVkSwnEpGbgnQVyrQly4KNDQe/+7sGP/RDR5v/+KjZUI3b7eaNN96g1Wr1RuD91b/6V3G5XFy8eJE/+2f/7BPPdURp0q8jWhhnEDGk/w8HiyI9tdn+q7VmY2ODer3OG2+88RExrsPMNM1DlR3tAmswGOT1119nbk6xuSmwS6Uifu107g12sSz5bMNhGQCTTLqJx9vdbs8W9+8nGRryU63GCIX2xOo8HggGW90sna5Wi6bTkfpLuayo1cxe1uxyia+22zKcQimZpjU0pBkelnPW67oXYG3FyHzey+joCOfOuYhGW+TzDRqNLJZVZGzMjccTwjAClEqu3nSu4WFRhXS56BZSOzidcqPKZgWGtHWXajWZM+D3C28+l1PdG5poMyUSsLyse0qU4+MllPKRyfCQJsxxzOVyEY1GyefzXLx4sbdD/fmf/3neeust/s7f+Tv8xb/4F3njjTeeeK6Pw7efeaaeTCZZWlpiamqKcrn81AG90+lw584dDMPg6tWrmKZoXNy/72Bry4XfLw4WCIiTK7XfOSSLDwYV0WgT0+ywsLBOMOhlcnKCQEAxOCjbuqUlyeCVUng8ne7/sscXHxvTvaBum81OqVSkOl8sylaw3RbMMpGQeaPCVNG9rjyhcEnxyOMxKRaD9PUFOH9eMTxcJ50u4/evkkoVAB+GEaNWi+NwuAmHZXvc6cD6usn8vInWildftWi3peov207JaFoteOklEVNKJAxAGA+zsxbXrxu8845gnjs7Rg+eeRa7SafT2YNqfuqnfoqFhYVnLU36DeAfdrvs3lZKRZRSQ1rr7ae/+o9au93m7t27KKV6N6+jmq1r9KgVi0Vu3br1UIE1nYbNTQ+1Gr2vvj6BIZpNeiPehoft4N4gEnFQq1V4660stVofm5semk24dk0SgHBYfHJ52U0uJ8XU7W35e6cjgVprzdycwBdLSzLEolqVQuPm5l7jXKGgerRKkQqQRGZsTFgr5bIDv18Sh3TahdfrYnY2yJkz/dTrNebnS8zNVWm3Nf39HioVD8mkl4UFhcejiEQ0ly61cDjKjI5GSaXA7bbwePag1UxGeO6ZzJ40QjisuwM4ZK5BNCrvXTbr6cFXT2M2AWD/DvUv/IW/wDe/+U3+xJ/4E8eJc8/dt59pUF9eXiaTyXD16lWq1SqFQuGpzmePxRsdHWVsbE//plyG9XWDbNbR/eCEy1ooyIc3Pi7URYdDMtLxccXt25pSaZN4PE4sFqRUgqkp+fDtm4Bk+xq/v90L2E7nnpytbTJ4WLLnZlO2joaxd45qVRbc3btGl4mgezzeUkmhlIudHQOXS3XnmmomJy36+iCVcuH3x9jYiDMwYNFsVtjdLbCzs0q9bjAx4WJmJsSDByHqdQdLSyZeL7z/vkEioXsDPwqFPYW+bFb+1x/8QYtCQWCXM2c0Xq/o2rz1Vpt228XCgiySZ23VapWpqSl++Id/+KhPOYo06UHHjADPPKhblsX777/PyMgIo6Oj3Lhx49g9FY8ev7m5ydraGq+++mqv3pDNihJjsSjzZ5WSm3Rfn8CGdiE0ENjjo5dKBkoVqFRSvP76DHfuuHsy0lpLMLcHN7tcHTweoQNqrdndlQKldFtLdlsoqK4uumT3k5MyVSkctjhzRrjqGxtSi9FapG+rVbh/X5gsy8teAgEZ1vL5z1vk84p4XOCeWMyLy+XD5VLcvm2RSjXI58u4XGkymQCzsw4GB/2cP6/Z2mrhcEiHtk1GmZ+XQC6USoFc19dtWWDFpUsidpfPi8heIKAJBJp4PPLcR+cIHMceN3v361//+nFu8s/dt59pULeDr1LqqSfE2NOOLl26dGCG53AYGEaLYtEWApLANTQkgXhzU4ozsRicO5dhcTHFK6+8RL0eoK/PhiMkQ+/v3+suTSadVCpSgNncFNxatKV1l/Zl9gI+7NHLZmZ0N3vRXS1rg60tW+5W6IUOhygmQpt228IwpBhVLgsW6PNJZr2wYLC9DeWyzE4dGAhw8SLs7rbweHJsb6e4cSNHs6mo12vMzjrodNzdqUuKWMyiUhG54EZDMpZYTBOPS2aVTMq1z8xolpc1t261cDpdtNvCnJmePpnzP472ZU9wP6IdRZr0KMc8EzMMg9dff71XF7LHNR7V9q8Fe9pRs9nk6tWrD9WabOVCW9vH6xUfzedlt6W11IvCYblht1pS0ItE6nzhCxe5f9/sDZ8Whgs9KDEQgFishWEIJGhPHhobk+Dn82k2Nhzcv28X4eU1KhWF1ytzeet1CY6NhuDxhYJk57YipGXJDtReN5GIBPdAQKAU2AvGkYiDYtHEMHycO2dx/36LYrFKLrfD8nKSeNxBKJSnWAzidosqqn2DGh6W92p3V/6vSARGR6XWJZ228noy9cxPuaz4V//K4OLFw8fePckOC+rtdvtQAbtD7Ln79jMN6i6Xq0djPKlEaafTYXl5mVwud6jmtOB9BqYpmXJ/v+Dpws3e+3K5NHfurFIsZhgbMxkZCfRwPBtWSSb3ArQNv7jdHSqVPUW6RkOcJZdTJJNOGg2D8+clCyqX6dKo5D0fHRWObqUiqoy2tosto2sXKi1LMrGVFck0PvjAIJsVHN7ORra2bOqhLHS/34lS/bjd/QwMKNzuB0Cdej1LPm/g97tQKkIk4qHTMUmnVXe4Nb3hxO+/L5DQ0pLiy1+2OHtWc+NGg2IxgFIiwfr6650jF0z3m2VZh9K+jsl+eaI06RGPeWbmdDof6pY+jm/b7Bd7zu7AwMBD045s8/sl2djdNanV5LFGQ4rXlYpopDebkqhksx1WV+/jcHgYGorRbpv098Nrr0nQL5cl4M3MiDKnCGiZKKUJBOTGLUmM7uq9QKHgIBLZy/KHhgTSUMruilbdm400Ho2NiTxBsSiMrPl52NkJkkiYeDwyxWhtTeFwCI/eFsYrl+WGIBCN9GcMD7vp63Ph8UTw+2M0Gkv4/VlWVpK0Wh7S6RgDAx78fhcDA1Lwdbt1V+Jb2GNer6znDz9UvTGUrZaJzyfrd3OTpwrqz0hD5rn79sfaUXoUu379eq9o9Lg3cXRUceZMmXx+gEhEgrplwbvv7hVbYrF1QiGDN9+8Qqv1DkNDexmIrbkeiUjACwZlK9duK3Z2HAwPi7M6nTLkQmRzFaWSA7+fHt3M5ZKAPjqqe1i0PVN0YkL3tFjyedXF2zWNRoONDXdvhJ4tAZzJCC5vSwuIxrvuqujpXjBeXDQoFGBry88f+SNRRkejtNttFhdrlMtFvv3tVba3I1SrQep1H8PDcs3RqGQw9pxJKfLC5GSF+fkY8bho2JwUgjmo8QhO1Hz0RGlS4JeAv9DFJD8HFJ4Xng5Hl8A4yEzTpFqt8v777z80Z/dRazbFLy1LxhJ6PBJQazV6dL2JCXA6KywsrDE8PEKrpfnOd1q9xEQCGT3Gy717klQMDMDoaL0nO2E3ovX1WbhcApEsLnaYnZWhKraev9MpPhwOy6ShM2fkWsJhYc3k84K7JxKaQkHh8dTweiVY2/ozNsSptWDvfr9Gaynup1KKiQnN6qo8Ho+LcqnD4WZkZLIbtOv85m82WVjIUCwauN0dLl1y43SG0dqk0xF9mlRqb+JSrabI5TT5vMnt27KeniYmH+Tbtj8cs2743H37hQnqpVKJcrnMhQsXGB0dPcL5FU5npzfGzZ7FmE6Dz9cml9tleDjI+fPxbrZsUKlI8LQ1ncvlvUaeQEBmHMZiIgo0OSmPS+YEtZrB4KCcp79/j9IVDu91+cEeX9zrlSBqUyMlm5Bjczm58ciYLlk4+bzqFZ8uXpTqfj4vjBqfz+aew+qqYndXMEq3WyCVcFja/fP5EFNTIVKpYQKBBqZZ4MMPy+RyJTY2XExNBfB44jQaJvbEdoBAoIXXK5rvgQC9iTfHtcdNPTpOUD+iNOk3EcrXA4T29RMnu+rj23HgF601yWSSQqHAF77whcdq4KyuSmLRahld2EP+7vOJjtH0NDQaSVZXV/nhH75EqeQnkdjlt3/b6LFWvF4JujMz9IqL4+N0aa2qy8SCf/fvTMplzeqqYnJS/LHZlOYip1OCZD4vvjw4qBkelkJ/oyGdnyMjmlJJdoLb2/S0Z1ZWnDid4vPCTJPgaprCTBNpA+kWLZcl8M/NSbRtNGSIu8ulGRtrMjamuzoxLizLze5uiGxW4/NVKRZzNBpJIhFwuSK8916M1VUvS0uyvkoluUGC6u7sJWl6HF/9cXaYbx/XPg7ffi6URpAt51Glrbe2tlhZWel1cT3OpEAJShmEwy1eflkCeTJpz22ss72dIx6P0mp5elDG4qKXbFY+cBEakm2s1rJYXC5bF10RCnUYGJBzbmy08HicmKaoy/X1WQwOtsjnFamUTFxJJGTSSqVCFyqRG4E90SiZlO3g7q7AM+GwxcBAm2hU87nPCea4uSnn39hQ3Wk2Qk+cmdEPVe4nJ2W7vLqqyWadPHggsxnPnJGDRMAMnE43ptnPSy8pLl9usblZYWkpj2mmSCQMhocjeL1holE3Pl+b4WHZSQQCcmM5iR3m+CfpujuCNKkG/g8nu9Kns6PCL7Y0hlKKSCTyRFGzWk18VSZi6S5WvDeAIplcotMp8OUvv4bWTlZXZR04nVa3VV98eHZWglowKEHdhigNo0U0ajE/b7C5aREMarJZk+FhuvNGLVIp8b/f+R0pvLdaqou5i9Qu0EtUUim5gYRCouPS3y/NeWNjFtWqweysUBJdLt2jZtrPn56WoF4qiaidLHvd3T20SSYl+CaTkuwsLRldqrLi4sUAfr+fcBgcjib1eoHt7V02NhSZTJhCwdO9EUg8kl21rNdyeW8q0nHsoOEv7Xb7RIH+efv2c8vUj2KWZXH//n3q9TrXrl3jzp07T+y8K5dhbk5gkkzGSSQiwVJrSCbzVKtVIpEBZmZMpqboCWN98EGEqak9WlgsRg+O2dmR5zud0jHn9bYpFDoo1cHnM9DaIhKxukyaJg6HqOVNTmrm5gTXv35dFkEyaWcvUmwdHpaFsB+KqVY1k5NtEom9rMGyROMiHtdEIrorMKYeWgggGYcUnhRjY1XGxzWhkGRVDocssv5+3aMzOp2Kb33LSbkcIRyO0N+vGRxssLZW5sMPtyiXG+Rymmy2SjTqJRAwT0z/Ogx3PMF80hfOHlVqPIx3blulUuHmzZuMj4/T19fHjRs3Hnu8DefF4/aABwvDMAmFYGiow9LSPMPDXqamrqC1ZJ8TE9BoWJw50yAUkiBrGEIY8PkkkDude1BIoeDk7bchk7FYWjIYGelQLmt2djrd4egapSwSCYPd3T2Oezy+F5DtMY1LS8KS2dwUSd2lJaEjRqMtQiHZPWcyezWBkRFJeuxmOtuf7aHWKysQiahul7Ng5TakZGsmSXFXsbsraqbnzmnyeScjI3FWV81u41SbWKxOodDC4TDQ2tFNLhXr66rH/T+uPcOpR8/dPrGgXq/XuXnzJn19fZw/f/7IjJlcDv7jf5SfNzZCXLwIAwMWy8s7OJ3wla8MsrhoUKuJ7OjLL0sGlMs5CYXEwWdmHmav5PPiqJOTkMkYFAoukklQyuSVVxwEAhJsA4Ea1WoKn2+afL5FPg9aO3rdeX6/BOZSSbL/VEp43/u30YGALJRHu1IHB4VJ0OlIYclufbav0V4EkYjG5RLpgq0tZ6913OcTLvrSkowSC4VEWbLdFvmCWEzRaAhDJ5124XLFaTYTZDKazc01oIlSGdzuNjs7Jn5/hEAgcCy88HHwy4vo/Cc10zSp1+uHPp5KpVhYWODy5cuEQiE6nc4T/bpclkD4yitQqXQYGekQjTpxOhusr69y7Vof584laDT2qI0A1aqDUKhCJiPwnj3da2hIAun16yJ4tbMD5XK0e16BEsNhkx/8QYhETEqlHJ2OhcPRIZORz3FwUDDpREL3mu+aTQnoq6vCFd/ZoTc7IBhUOBw+xsfhS1/qkE5LETObFbXF/a4kmb7qwky6J0qntU0+UD2GTqY7xM3rFR66wyFBfm1NMPRUStg5jYYiHnfQ6QTweCCfb2EYTbS2sKw2S0tNVlfrDAxEjstYOXDWwIsqVPfc4JfHmd3uf/78+YeobkcJ6vm8sDjcbigWTdrtJpnMKqYZ5dy5OPW66lbmJYB/8IFkr7WaBNNQSDDr/n7J2E1TtqgLC7ZmhItabYOFhTZah6lWfYyPOxgerrC1dZtLl84SiUTw+y2KRQvL6jA/Lw5fryt8PtWlYMkilS207g6V5kA8T1gIqjcE4MyZvYEb++c32jh+paK6Mx/bzM4Kv31nR7G2JgOlbbW+ZBKiUYF+MhkbK5XX2dwUDW6nU9qwQ6EYhhFjcLBJILDL2toa5XKZYDDY5fbHnjia8HGF0k97pr7fDmN27W/338/cOor2S7Mpvi1ZsaJUkhm79XqBeHyM1VUvhrH3udrj64RyaxEMSlHVru/YAlb2JCSvV1MqeXn77SJOp4fhYSehkKs7/WubVqvI93//WUzTpFjsYJptnE4NtCmXodEw2doC0zS616p6ZINKRfwsFoP7911kMopy2cDtlqy4WNxTTU0m9+jBlkWPH+9yCbtGpjYZRCISmpSSbH54WET1PB5JYkZGJOHx+YSGa0sQRCIwPm4RjysePNAUChbZrBu/34PWLfL5Irdv38ayLKLRKPF4nFAo9ERmy2GZ+mc+qD9qUrneu8Md1O6/344qfLQ3Bk6Ry93j6tVxWq0oQ0MCxayuyt3dpjkOD8PsbJWhIbqNEFKRn54WfD6fF8wyHO7Q6bgxzZfY3m5QLpe4davAykqd/v4SX/vaNNFoFKUUDodotMhAX0083qGvTxZ6pQIDA9ItOjIi//v+bPtRs3cN4bDQGLe26BaA9h63p83YGGYgAP39DRoN1dOR9vk0Z85IM5SwKOTmNzICw8MWpinNT4WCZDhSb9DUasJvjsehWHTh9w8yMyPqdaVSiUwmw8bGBsBDC+HRm/hhmXqz2TxWB+aLbgclH81mk5s3bxIOh3n99dcfem+OkuzYs2xXVmB726Re75BMdpid7aNYNEmlpOBpU2x9PklS8nmTnR3VHb4iu9NKBW7floA6OAg7Ox2KRYhEIoyPW6RSder1Ah980GJrq8z0tOYb35gmGpWbtsdj9Lqe63WLO3dgfV2zu6sYH+/gdBpdOqFJvS4+mcvprh8aaC1Qh7BoxH/bbR5i3oBk2qmUfZxFKCSwi8wu8DA+LjevkRFhjVWrdAXIZMfebIri6Nyc6k57UkxOWtRqMnyjXFb4fEaP/dPX52BiYpTLl0dpt9vkcjmSySTz8/N4vd5e8nJQ7eMUfuma7fx2R93t27d7euoH3RmPkqlHInTFg0oYRoG+vrNsb3tJp6VQNDwsLJabN8Xx02l5ztBQi/PnNWNjqluokfPVaqKBYhgdSiUZQlGvg9/vplx2s7GRoVjs4HCMc/16jo2NJRKJEKFQgmYzQbNp0N9vEIkoOh0H16+DZXVIpSAS6ZDPW4yOavr6pBDq8RgfUXrb20pLVmU3WYAsgJ0dO6iLQweDMuuxr6+B10uPYqmULPipKSlOlUpS9DIMuHRJMp3FRSnu9vUJHDM+rjFNC6VkAWWze12lSilCoRChUIipqSlarVZPendubg6/399bCG63+9CgftBsx0+bPW76UbEo2d/s7Cz9trLcMU12enDrVodSqU0g0MbnC6O1BKXdXZuFtTf0HKDZNCkUnAwO2kPSJbOVgdWawUGLr3zFYn3dIJ+HYtHA6/VRLHpYW0tiGGEKBcV3vnObvj6LUChBsdiPZfkwDAOXy+iytYQdVa1ahMMdPJ4OsVgHpUxefVWRShlcuGDx1ltVVlZEp6hUkkBvTz66cUM6me1did8vRcuFBUW7bbC6KkmIUjKQJpeTNWH3lXQVoLu9JUaXLikJTqVCVx9e9QbT7OzI/ysEBDnO7mN0OBz09fXR19fXUxzNZDLMzc3RarWIRCLE43EikUgvfn1ahr88V/jFdv5Wq8WNGzcYGxt7LF3xKEG9v18zNLRFJtPGNC2qVS+5HL25hfU6XR1xuTuPjQncsr5e5gtfsPB69yRm792DVKqDzyfcWAmkQnsCTTa7TqdjMDo6yfS0oq8vwejoDJ1OgXQ6TT6/SjYbxDDCeDxRMhlh2/j9DjodDZg0mzIGb23NwuGQQpS0WIsD25DM+LjuFmyF92uLFu3uyrbSltsVGQAppvb1NXsTnuxzyLWLdZNrKhX48EPpyltels9pZ0ewSa9XkUq5etBPPH54ldTpdNLf309/fz9aayqVCplMhrt379Jut3E4HAQCgY/szj5rtp/SaLf7PzrJ6yTm89VpNPI4nREqFS9jYwbRqHzmwk6xh0GI3zgc0oBjs2ZAjlldFYXCSESCqmkajI/DhQuKrS1No1Hh1399B6WGSae9uFyaaLSfc+carK1leOedFNlsB60DKBWg3fazvS20xJkZk1DIIBjU1GpWd6hLh6GhDpOTFtlsBYejQ6slPRe2zr/HI8lFJgPLywaGIXCL2y1Q4+golMu6O6ZOk887ePddg5ER3RXm0r2JX/39e/NN7YA/MSEJUTAoNzBRXDWoVk2qVQnookj60fd9v57L+Pg4nU6HfD5POp3mwYMHuN1u6vU6jUbjIc3870r4xTRNUqkU6+vrh7b777cnwS+tVov7929w5UqUanWamzfvUixKU4RSe5oQlcpe1jkxIayAet1FJrNHXyyVJMDagwdqNbkhpNMarS22t7eYmPDy+ut9PXEskQQwcLlkcMSZM1Ao1NjezpBMzrO+rshkEqTTEbT2ohREowbForOnmb6+3uDGjRrh8DAbGx2GhjSzs9LY5HQapFJ7XOLdXYN2W3YWsZjudqTK1nJuTpHJeBgZkRvdfrxeMHpYXla43XIumxevlGzL7fF4m5uwve2h05EbcjS6t0t4nCmlCAQCBAIBJiYmaLfbLCwsUC6Xee+99/B4PMTj8R7sclJhN6VUDPhFYBJYAX5Ua5074LgVoAR0gLbW+smSeSc0m/1y584d2u32R9r9T2LlskzhGRw8i9sNpVKDH/sxD6YpgTCbhfv393DzsTH5rG7fNtjedjA2Jr4vw6Y1S0sWliUMKsmwATTJZJl8foULF2bJ572USjA0pLpzSt0MDQ3T1yevUyjUKJfLaJ2iWvUTiXgwDA/hsAuvV3H1qoOpKU04LCMYs9kcIyNVPJ4O6+tWd4ykotEwME055+qq+G8iISyu4WELh8OgVFJYluxEUykHjYbBjRuiJ2Oa8OCBNBel0/SYP/39wvwaG9vj1MvwGI1hKEBTq8lgGJFG0L3ZC0/6fOPxeK/eV6vVuHHjBqurqz1hung8TjabPXFQf55+/cyDut15Z2dytVrt0Hb/R+1xmXq5XObmzZuMjc2Qyw2wuysDAgYGLPx+s0eNEoEterDD66/bA3qlkNdsmjidGofDAoRJYt8IikXFrVstcrk84+MJgkEvPp9mZmYPE3/03wiHvYTDo0xPjzI/b3HjRpnd3TxKrVCtekkkAjgcYQzDyfp6g//wH9YZHByj0wl0t31t6vVOt/lDhLXabUW1ahCJCM6dSgmrZmJC92iO168bVCqCp9pFo3JZ/v/5ecXKinTCSvu07uKLmokJxeCghWHYw6sBVLcZRDKgkzQfORwOPB4PiUSCRCJBrVYjk8nw3/w3/w1ra2v8pb/0l/hrf+2vnQSe+C+B39Za/y2l1H/Z/f3/dMix36O1Th//6p9s+29KrVaLQqFAX18fExMTR75hHTY9Z21tja2tLb7ne15lc9ODz1cjl2syMmLj5sI939oSCAbkZtxs0p1kJUJt0oSn2dmx8Hpl11etira+0wmVSpJmM80Xv3iWBw9cva7V/v69HWO5LLDFzg5YlpdYzIvD0YdltYlGi2xvb1GvV3G5oni9YS5c8DI+bnDjRoqNjV38/ivkcrKTGR+3uHy5TS4Hv/ZrMrtU4B9b50YxPS0dpdWq7lIbFZbVZmtLBsU0m3vzSpNJuVbLgjNnOmgthVOXCxIJi3RabgLb23JzcLtFnrfdlh3L4ODJ5He9Xi8Oh4OXX34ZgEKhwNraGj/zMz+DaZoMDAzw5/7cnzvuaZ+bXz+XTN3WiFZKcfbs2SPTh0RWt/mRv6dSKR48eMDly5dRKkgyKYF7bs7Pzg586UtC4ZqaEse378ZLS/DOO5LRVKs+RkctBgY07Xanu8AEImi3JbPN5+tUKgWmp8PEYh7qdd1rBDqMtbL/chMJg0uXQkQiYcrlIbLZKuVygXJ5nlSqzPKyi+HhSQwjyNqaBFHDcOLxOHG5rK62usbttnC7OxiGxrLMLqtGJsMIf11uUjYWvr+QuroqQ3wrFUUmo9neFkGys2eFljk7a7GwYPQgp2i0QzTawu2WzGZmRnPAmM0jmY07KqXw+Xz4fD7+9t/+2ywsLPDH/tgfO3Tc2xPsG8BXuz//AvC7HO78z92y2Sz37t3D5XIxOTl55OfZyc7+oG5ZFnfv3sWyLK5evcrKiiQnxaIMdfmDP9jzMRHkkuAcColv12pQqZi0WkY3oHcoFoXaNzmpKBZ1N+tXrKyk8PkafOUrL6G1wcSEnM+eCWonnCsrEkRjMcneZ2bsYRgO4vE4Pl+MRKJDNltkYyPH9euLJJM1SiU3ly6d584dB6urCqUcNBqa0VGTmzdlt+DzWXi9bcJhC5/PwOEw8PuFj55O2+Jz0vxXLgtTy7Jkh2qaUpD1+URTplhUZDJGT0ZhZkYKpCKuJ3Wm9fUO5bIbt1te/9q1k2ka2Z+VDSnaIx7/3J/7cxiGwZkzZ05yyufm1888qBeLRW7evMns7CyFQuHYw6T3H6+1ZmlpiVwuxxtvvIHL5eoqJcoHXK872dmRNmWnc+8rn5eCoa10J0ObFfW6xbvvWgwNiaCWZQklTAo6Rer1HBcujBCNOujrk+A2NXV4QF9bk9dJJuWmAnJspSJ65xcv+nC5fOTzJgsLVc6dG2R7O8f6ehrT9HLmjJdEIgw4aLdF09zhkP8hErGYmmpjWS0aDSmSlkoGr7yi6e83UKrDBx9It1+zCVtbEiySSdWdTCPZezwuNzXhx6vuCDQRdJIMTrQ/wmEpWn3taycbkgEHMwRsOuPXvva1k50UBmzdC631tlLqsFRfA7+hlNLA/1dr/T+d9AUPPLnWLC8vk0qleP311/ngg+MNWdpPGgAZy/jhhx8yMDDQy/alsQzef9+kUDC4f3+vQ3RnR3joNj03lRJ2V6Fg0mx6mJnpEA5r7t+XuaN+v9SUKhXN3btJIhEnQ0MThEL0RiA+6tflsuD3gYCiUNCMjKhuEmTTaUWL3+Ew8XqjvPpqlEymjs+nMIwI7723yOKij1wuSjDoxet18fbbBp2OqKrW65KlRyIdCgUp0N+/r7s6MhLgo1GDTqfO4GAHrS3KZXkPMhnx62JR94rC9mD4XE7mkubzInPQaEgBNRq1CAQshodlrT/rWn2lUuGll17iq1/96kme/tz8+pkH9Y2NDV555RUCgQCVSuXEEqXtdptbt27h9Xp57bXXeovB5uB2OvaMRltdkW73Hb3OSlsdUehZ4HRWaTRcXcqWzDQslzXN5hbBYIPPf34cj8ekr29vyK1dbHwUsxZKleg4dzoC41iWiCBtbu6pIiq1Tj6f4tq1V9nedjI0JDoelUqZSqXAvXtbVCpNHI4Ey8sD+P1eikVNsWjgcrm6lEnJFGo14cW73R3abUU262B3154zuiepWq8Lfu5wSLHVnpjkcOyN/drYsCEpOHu2SigEly9bJ87S4eAGjaNIBHzta1/jt3/7t28f8NBfO8bLf0FrvdVdHL+plJrTWv/eMZ7/WKvVatTrda5evXoiJo/t206nk0KhwO3btz/Sp7FHQVTkcgbf/rat6yMwTCKxV/+RgdHy+fp8NbT2sbRkdoXkBE7z+5usrCwxNjZIoxGhUNgrqtuNRPuHjTeb4hPj49LTMDsrdSSnUzL3+/elOWhkBHy+DsnkPPF4kCtXptnYEJ66YbS5e7dONlsgEinj8XgwzSChkB+/XwTBfD4Ha2uChW9tSRdoMilFfq/Xwu2GgYFWT666VJLreuMNg0pF97jttuKpXUQeGdEMDYkMQrUKsViTeNwETOJxYc2d1E4ydPprX/sayWSSO3fuPOrbz9Wvn3lQv3jxYi/bPq5Eqe349nCMiYkJhoeHP3JcNCoSmsmkJp+3uHfPZHpaPtx2W4Lb9LQMHDBNjWFYDA+HmZ9Pkc/vUK97CAZjDA15WFxcxet18+UvTzE+Lg6eSomwksejSCZ1d1izFKdEj0Iy9PV1KUpZ1l5mbOthdDqKra1VotEi165dwTCEgWDDNevrARqNAG73CP39Dd55p8jS0i6dThPT9GOaIZTysbtLV6XRBAy0Nlhb6/Dhh3lM002p1CYSkdZuh0Nx+bLRGw12/brRzbo14+MWGxsG8/NGl3mjmZ7WvPuuZnfX3RVGEwjmpHZS2tdv/dZvAVw66DGl1I499UUpNQSkDjpOa73V/Z5SSv0bZMLMMwvqfr+fC08RFexd6NbWFqurq1y5cuUjcJTNVW80bL10uRGnu2iqfWMWsTjhhns80Ndnkk5vcOOGwusNMTXlJxxuUSze48KFWSDM8jJMTQmzy5blXVzc29HadV7xaRnKYe9Sl5YkQ5YiPRQKLTyeea5ejTE6OtiDR3w+ofVeuRJkbS3A2bMJNjfrWFaeYjHJxESd1dUBHI4QtZqboSGBFYeGXCSTtjpok4WFKolEEKXaXL6siURMkklJxMJh2X2Oj2tqNWHkJJOq20C317XdbCpKJRczMy1iMTd/8k92OH/+xB/fgfYknnrXr+EA336efv2x8NSPaoZhUK1WuX79+mPZMoGABO2ZmRbtdhvLcjI9LXdrv1+ym/l5O9DqLjYeIRiMcOaMRSZT4P33cxSLRfx+N6+84qPTadNqOVhfl+e++65ku4WCNDzcuaM5d06cRuZFCkbaatGjGvp8dCmNcO/eCqGQ0Z1pqHqZvl2MMk3h7+bzmmrVzdBQH2+8IYJDWheZny9x61aSTMbP1JSDTCbI+LiLuTmDhYUMd+9qrlwZpdk0cLvbzM7u3Tx3dgzW12W7Ozkp0Ew6rboZj+hgFIuKxUW4dUt12TmKaPToUNlB9pwaNH4J+DPA3+p+/3ePHqCU8gOG1rrU/fmPAH/jaV70KHZY4fMgMwyDBw8e0Ol0HsuWCYeF6qq16k0uajQki7cna9XrMDCgCYUESgwG47jdcfr6GlSrOZLJDVKpOlNTcZxOJ5GIaPzfvat7g6X7+2W35vcr0mnN0NDezy6X9DDYQX1gQAq0Ho+mVmuSTm/wuc+NAqGuHrrslHd3JQFqNOwBH4qrV734/T7KZdlRvPNOma2tbYpFTSKh6OuLks2GyOVEUuP+/RweTz+FQpDdXc32dpsvfrHDF77QZnBQobVBMKjo75cERBqxdG9SU6EgjXcrKzKYZmbGYnBQ+lee5nM+iJr7lJTG5+bXz4X90ju5w3Fg4fMg01qzs7NDsVjkC1/4wmM7EF0uGRS9uNikWrVYWZHsORgUaCMcFq6rZWnee0/jcCjOnJHtYa1mkE772NoqEwrNdjvR0rz9dgafz8Ky4oTDIQYGPCglDruzIxmMaSqUEvU8pWQL6HRKY0OhIJX1Wq3NnTuLBINhXK5B3n9frvkP/SEeCuy1Gty+LY5Sq8m2utkUTu61ayKhu7oKyWQDr7dAMrnJ2lqbdtvE6TQZGZnA5ZL/99IlB4GAA8uy6HQ6tNua99+32N2VbW0sZhAMygAMe0jIuXNC9ZKhC21CIakDnHTcFxyeqT8ll/dvAf9CKfVngTXgRwCUUsPIJPYfBAaAf9P1PQfwT7XWv/Y0L/qoPRq8bRXSowR1u2mrr6+vW+w//DkTE/DSS6KtYg9yEXkHyc6FPNTp4sbif7Wa1FXqdTcej0kw6OClly5hmkVWVjZ4990WlUoMpzPE+fM+Gg3Ramm3BX4DW3LgYRVGu25ky0Y3GmVu3tzi5ZfHSSQ83QlLUpPyeARu1Bru39dcvChwZLsNGxvi1/W6l1rNS7ncT6Oh2d0tEYvtsLq6RDYbZWsLQqE4+XyAjQ3Z7WazMiHp7FmLS5cs1taEqrmyItz2YtHgt3/b2aM6zs7K/yCKqUJ3drtPLicNB8OK8NS+/dz8+rln6keBXyzL6ik0RiKRI7WUy1SXFpmM1dO4sAfO5vMaj0fu0A8eyBSitTXpsKtUSqys7BKJjGIYblwuTSAwyrlzMDTU4Pr1Mmtr2+Rymr4+D6OjIVwuf3euo2CbfX2Spddqoi9tGMKl3dmpc/36Gn19g1Qq4e7IPNXduopYk80T396W7W8sJufq65MF2mwKzlipCDa/seGm0ehndBQKhU2yWQeBgEkgsITDoQmH/bhcMcBFu23QbIpufKcjN75btyzc7jabm4L9O50G7bZgjpYlN6dazUkwKIJKTxPUT4qpP8601hngDx/w9y1Ec5ruEN9XTvwiJzDbt5/E7LKpuMFgkKGhoSfeBAYH4Xu/V3H3bplGw00ms4d19/drvvhFzc6OyC9vbEgzkWVJwbzVSjI5WefrXz9LPm9gWR4GBvq7s2qrLC9XKZW2iMUczM766HRiWJaTTmdvHsHYmGS+/f0SJC1LAnc2m8HpXOY//U8v4vF4ejBkLieBW+o38Mor4u/2jra/n25xVJFKSfAPBukOZQ9iWUHOnKnz4MEqoVCYZrNAu12m0wnicrnxekVc7949E5/P7PaYQC7XIZu12N21mJ/vkE4bNJuK1VVJWGwZ7FZLOl1Posxo22GaRk/j28/Trz9x+MUe8TU0NER/fz+3bx9ULzvYDMPA47GYmKCrPghLS52u6ptibU1UDU1TuOjr62WazQzV6iTlskEgoJmYkMKPFFPdvPaam1gsTq3WoVDIUyxusrjYACKkUlE8Hh9bWwbj40KTqtdFCKxUapJMbhCPj2KaPlIpzfKyOHCzabMIpJNzawu+8x3BsItFmT8J0OlofD7F+rpsY4tFRTYruht37xZ4+WUfX/1qjGZTc+5cAp+vimnu8N57N6lWDbQeoK8vSrXqw7Ik04nFDF591c2DB5pKRYSfvN4OliUFqfHxBrlcjT/6R0MnpnvZdpAcwIvaSn0SO+70o52dHRYXF7l8+TLb29tHgiJdLnj9dYXbbfWgjXZbajfDwxbZrIyIE/VCTbOpuHVLo1SOyUkfX/nKILWa+J0IuUmwDof9XL3q48KFOI1GA8tK8+DBAsvLDpSKsr0dQms3fX2Cqdv1o2wWFha2yGazfN/3vYzfv5fyDg4K3m6aQhwQTFwCt2UJNOJwSHDd3JSd7ZkzUK/rnjaRy1XHMO5x+fIZtrcDXa0iC6VKrK1lyGab7O56SaU8jI35GBszyeUgnXZQLss6EbVHqNU0rZbM3QWDRKJNp+PpKpue/HN/nProiyhU91zhlyc5fj6f586dO70RX+12+1gYvMdjUKlIc8PysuhSNBqyff3KV6Ro+e670jJ9/34e02wTCEyxuqrxeFR3bqgmn6dXRNkbAGDidMYZHo5z8aLm3XerzM+XSKfTJJMO1tYCjI35mJpyA2WazRVCoTMsLrq4dUvwQpEDBdBsb8u2NBAQ7LLdlhmNrZZQJy9dEoyzUhF80DQVS0uyw+h0CjidbkolD+m0ZnpailixmA+YwrKmaLdbrK+X0XqddLqOzxfG5YowNBRma0uypaEhA4/HVgQ0abctFhc7zMxoYrEWnY6BUuqZ6rS8qK3UT2uPm36ktWZxcZF8Ps/Vq1dxOp2kUqkj+3Y0CufPV7EsqemUSpps1qJS0d3mHOkx8Pk0ltVE6zJTUx4CAS/Xr0sGLR3MUueZmpLazeio/JxMerCsUaamANpsbFS5fbuC37/L9LRBMOhjeDhIPG7QbC7idjf4gR+4gMcjfmFDM+WyBGavV3YM8bj87Y03RGyvWNS88w498bi+PmGnvf66aDO5XDXef3+H6ekLVKseymUYGVGMjhqcOxfG6QwzNwe/+ZtN7t+vs7SU4otfzLKzM0ijEcAwBCJNJKROpLWoSe7uigBYp+PoTgxrdueznsy3Hzf85UVMWJ5rpv644dMbGxusr68/pNZ43MKq260YGmp19VWko0z0HyTwjY7C9naHe/e2mJjwUa0myGZl8G6pBGtrmkhEHHJ6WmAR0YuWheF2y8JxuxVjY35arQCtliYQaNFoVNjdTVEqFVFKMzU1QrHo4vx5GcDbbksRNRDQDA4qhoak1d/vF9aOUNKEGz47K6/tcklgt0WZ5uY63LpVxTT9FAqObgu/6LPYN59yWZ7jcrmo16N4vVFeeUXj8eT54IMy8/M50mk/586ZJBIBpqfdFAqqq4eRo9Go8tJLw5im1dWdtnqfge3ITxPkq9UqA0/Dk3xB7TBo8TAq7lEVSIGeAufWlsB7sgNS3L1Ld9CKQGlK1Wk0tjhzZpRWy9VjyViWLUMrfhKJSBPS1JSce3xc/CabhWbTQSAQZmhIMzwcp9WqMT+fJZdbBZrMzDh45ZULPeXGclnWBgjerrUkJvbOsNEQDaNKRXbI5bJmclJYLqWS3PCKRXjwoE6xmMHhGGVjw4HLpXpUzUZDagv2tLBSyUUg4CYaDaFUnHq9SjJZIJ/PEo06mJjwMTnp4+ZN2Z232+B0NvD7HczMuBkaavXe+3a7jWEYva+j2GHDXyzLemp5iOdhHzv8Yk87ajQaXLt27aE74HH1QQzDoN3WuFwWrZY0TMhkcnt6eo0/+IMt6vUhgkE/w8MClywt6X3daQ+f0+a0G4bwcqNRwacBtrd1dwCwk8HBKPV6C7fbwcsvh/jWt6o8eFCl2fQQCnmYnvYwPGyysqIpFkV7Q2uhRno88PnPy6zRYFDgmEBAFlmjIeyGWq1GtbrL5cv9FArOXhHq3j2hdfl8e/Mo7cEJ6bStQqdIJKJAlOFhRbPZpl4vMj+fZGXFSSYTIpcTCOl7v3esK0dsdjFUq/dlf3a2U58k0/ksZepPgl8eR8U9TsISCMDnP59jbKzDv/t3e9O+XC7VnfupqdVKxONbnDs3Rb3u6s2ttTX3y2Xhmo+O7kEkyeTDxXqZkSusGEkYNIGAB7d7AMgTi8UIBCxu375NswmNxgBud5xKxcfIiMIwNKOjsu5WVoT9UqsJvr+9La9lyzs7nXYzoGJlpczubhGnc5hy2cDpVF0ap9At43HB4NNpwesTCcnChTrswu93MzAg9aB2u04yWaXTydNqeahWQ9Tr4PWanDnj4KtfhVhMsBfbp+3v9ufxJN8+KFM/jBHzItjHCr80m01u3LhBPB7vTTt62tdqt6tobaGUgdstW75OB1ZXy6ytzeNyvUQ47CWZFJjD3jpaluphcq+/vocflst2l9qegFYuJ3hgXx9MTyv+w3/Q3LyZxjAUX/3qWTY35bGpKcXaWo1MpsLGRppUStHX56GvL0S16iGV0j3tDssSelm9LuO57MHB5bJidbXO1laS0dFBOh0Pt25JJrSzI4yVnR3dlS4VWlepJEyarS1pt45EhKK2vS0LIZcz8fmi9PVFWV8HpUr4/XVcrjrh8DzBoB+tE4D7oQzGsiy01h8J9PYC2L8IDnPwF1Vz+mntUd+2ZVsPo+IeZQSebVprQqE2r73W5N49Fxsbis1N2Vl2OhCJpAmFKrz00hnyeelCHh9XLC5KUIxGZYqXLS+dz0vPRaEg3Zj2rtDtluYlt1tEve7c0XQ6LT78MMeFCxO88oq/u8OcIJlscudOkUxmneVlTT7vwTRjNBoBajWj2+wmgT4WE3KCaLwrBgfFN4pFmJvLk0zWCASGqNchFFL09QnVtq8PXn5Z1kOhILpE7TZdgTHN8LCc7+ZNTTYrhIV63Uu77e3y9pv4fBV8PkUk0uKllxrEYj4sK/yR7Hy/T9t+bvv1owH+sEIpnFyo7nnax5apl0olbt26xZkzZ+jr63vqc3c6HaLRKLncErncB3i9I3g8UQzDQy5X4u7dNfz+i5TLbnw+W3NcsbIieiiNhjiU2y0499KSsE1Sqb3xc+Pje7zdUEh3OzEtlpdzxGLSKi2Vfzkml9MUCh76+jyEQgkGBuqsrJS5eTNLoaAZGzNxuSL09Umzj3TFanI5xdqaNF/MzTVpNHK89NIwgYCLoSHdm4S+vi6YpNdLb2veaskijcVk4lG1Kgu43ZaFIswHe3YppFJlymUn0WiIV17RXL1aQaldbt26hWVZxONxEonEQ9NgbId+XKbznGhfL6zZ0KLWmtXVVXZ2dnjjjTcOZW4dFX6xb6LDw8PMzd2k0xmi0YgzMOCm1TJYWyvidCqGhibI5SSLzWY1pZJdi5Ed28iIUHH9/o9qsIMt1Sx4twylhlarycbGLv39fYCbRkN3oT3IZl1oncDjSfDlL2uCwTyZTIoPPlhndTWMZYXp7/cyPOxgZER36Zhyw0gkbJ/dxO9v8aUvTbC8LLi7wyFY/MyMPY5PgrutKCrDozUXLwokY1nyONizUnUPpikWi4yMBPD53Fy8qPnqV3fJZLZZWpojEAiQSCSIx+O4XK4nJi/tdvuhEZsnGTD9SdlzDeo2lzeZTLK0tMTLL7/81At8/5vv9/t5+eWXOXvWwjAqFIslWq0tHjwwOHNmmGzWSbMpmLnHI7K6jYbqSpKKI29siP50oSCYoNbigKWSKLxFo/QGRMdiLe7eXSca7SMQCJFKaVZXpaI/MyNZuLRdi5hWLOam0XDT3y8ZjNtdYXe3RLO5TjDoZnjYTzAYplg06XRAqQrZbJWRkT4Mw4HTKdctcsGyW0gkxPlHRmSLWi5Lpr65qUkmBbppNPa48D6fYPqVCvze7+UIhTqcPx8kFtNcuwZjY35cLj+Tk5O0Wi2y2Szr6+uUSiWCwSB9fX29UXYHLQQ7yNdqtS4c1n7ouKelNL5IdtDw6Vu3bmEYxhPlA44Cv+z37bGxMcbHx5mcrPGv/lWF69eLpFIO/H4HxWKIXI4u7VCgjt1dCeLDw6qLcwu11xa4a7U0s7N2t+XeMBR7aHsmU8bpTHLhwhjNpru7WxBRL1vK+swZyaLjcUU0GsXlinalMBo0myVyuRQORxmvN8xrr8VxuWTGrdOpefvtVarVdlfyV248rZb49MSE+PXoqKxHr1f+l7k5uUa769XWe+nrE9//4AOR5SgUYHGxQDgc4M03he3yh/+wYmamHxDt/3K5zO7ubm8AuK0mGggEDkxe9icuta5C4P5darPZPPac04/LnmtQ11pTr9fZ3NzssQCe9nz2G66U6i0yj8fg2jU/CwtZ2m0/6XSM+XkZ4NDf36RUigMm9brIjY6N2dCFLTUqDUTNpjjw+LhkPI2GOFssJvj8zZsrzMwMs7sbRGspAI2MyLYwEJDOO3uIgZ0hzc3Zsqdw+bKf6Wk/g4MJUqkapVKBra0lTFOxtRWgWGxx5swooZDqduCJc/+hPyQT24NBcexcThbjyoruNoUIxm53qJqm8IVrNbnRrK1pHjwoobWTmZkIIyOaK1fgtdcebjZyOp0MDAwwMDDQLWgVSafTrK6uYhhGbyH4/f6HFkKj0eD+/fvMzs6ilOotBq01hULhMxPU95tlWayurjI1NcX4EfRcnxTU7RukDQPYvn32rJcf/VGLdnsLwxgnnYbvfEezvJzj7l2DV191UCr5kS5hwbUDgb0pWI2G7NycTo2tenzvnkwhKpXka3Q0Sz6f4cd+bJxCwUU+b8OEQj0MBgUGqVbtQS5w5w7d+hTk825GRtxcuZLgc59rUa+n2d1dJp+v4nRGqdVqxOM+3nzzDJUK3L0rNwhJpKTOBLLrFB677JDdbjuYKz78UPPBBxL0BwZEMz2ZFNLBgwdNBgf9xGJOolHx7bGxvfdWKUUwGCQYDDI9PU2z2SSTybC8vEylUiEcDveyeNM0e0mJw+Egk8mQSqW4fPlyb6fV6XQoFosv7IjG54apt9ttbt68CcBrr712ZOzp0bmmth3m9CBY/crKTb74xQFWVgb4zncUpukim9W43S08nibJZJ1SKcfYmIPLlz3s7PjY2lKYpuLePWGhXLsmWb0Nd9y+LdvB7e0asdg9xscv4HT6GB6WwQCBgO5SxwRDdLnsOZ+y/TRNwRmlcEUPxhkYEB32dtvH/PwgrdY2+XyReNyNZT0gEvHi9caYnfXx4AEUCtLFGonQc/yJCWEa9PUp3npLHDyVkuJvqaS5fVtz4QKcO6e5eXMXwwgwMOCnv19azC9e3JNbPexzCIfDhMNhZmZmaDQapNNpFhcXqVarRKPRXoC/ceMG586dI9qtOttZ/IMHD3j//fdf2ILSSS2fz7O6uko8Hj9SQIfHwy9a6x6T5lG/z2QybG094HOfe5lOx83qqjSoDQ25yWRa/Pqv10mnRZBNayfnzjl57TWFyyVZbKdjT/SSQG+rmmotnZYPHhRwOIrMzMzg9xu9guTysmTzpZIE0sFBCeailCg70UxGdoB2onTtGvj9TrQewu8fIpls8957K7jdPmKxGp3OTRKJBB5PH6WSq8dVz+clebKLqaWS3JgsS4ZjWJbdHCXkAtMU7aK1NYvV1Tqtlg/DUHi9kmCdP//4zmiXy8XQ0BBDQ0NYlkWhIJPMlpeXcTqdveSl0Wjw4MEDrly50gvgdgb/j/7RP6Jw0BilF8CeS6ZeqVS4ceMGU1NT1Ov1YxUTDsJnHxfQK5UKt27dYnZ2llAoQaFAV4NZdavoTgoFJ06nKNc1mxVqtRQbGyapVJhWy8vgoBPTlEzEFuG/e1ezuakwjCapVJ4f/dGL9PVJE0+1KrCG0ylBfHFRqvTFIl3erDQQ1etS+Xe5ZDITyOM+Hzx4INz6lZU8fn+H/v6zDA7C0JCFUlnefz/LO++sYZo+ymUv7XaU5WVHT5muv18KrfbrnDsnWXogoPB6xcEdDs3c3CoeT4RYzE+9LtnP+fN8hPXzJHO73YyMjDAyMoJlWeRyOXZ2dtje3iYYDFKpVPB6vXg8HgzDYHV1lR//8R/nV3/1V5m2K3afclNK9ai4s7OzlMvlIz/3oEz9sJ2nbevr6+zs7PC5z12hXJYg6HZLDWZrS1OtOonFnPh84PO1aLdbpNMF3nuvTSAQ4MoVF+m0C79fiqLLyxLQb9+W1n3IYBgWkcgktZr4pMcjWLfWmmBQdefjSkYcCMhu0LIkiVhbk3U2NSXFeZBjHzyA69dhczPNwEA/X/5ymERCMzRUoVbbpVa7Q1+fl6mpIDs7CfJ5N/fuyc7WbsTL5+Wm4verXud2KiU7j+VlTSLRolot43BECQZlJ3L+/J4cx1HNMIyePjoI6yydTnP79m1KpRJDQ0NUKpWH4Mdf+IVf4K233uKdd945+gt9jPbMg7rNcLl06RKhUIiVlZVDi2gHme38Nv/zcVlMNptlfn6eS5cu9bb4r74qjptMShbr84kz2JQuh8NPf3+AsTFNKtWk1ZKFMDjYwuNxcOFChLffduJwQKVSx+mscPnyAD6fgdstAX9yUhZff78EyWxWnH1tTfcGGjSbEtyjUU25LMfZbdLVquCAmUyKRsPA5xtFZqRqmk2DfD5BIiHb3mKxxvJygcXFTdxug0DAj8MRwONxkc3K/7S+Ll16/f10zyHn/+Y3UygVpdEId4Wf4Hu/VxqdngYONAyDYDDYy2I8Hg/pdJq7d+9Sr9f5x//4H/P222/zcz/3c7zxxnObKvex2/r6Oul0mmvXrlEsFo+VqT0a1B8X0LXWzM/P02w2e1z3WAy+//vhww/lM/7Wt2RHuLsrz2s2HYRCTgYHvbRabRqNOtvb20AHp9NHsxnh5k0PmYwIXq2t5Xj5ZcXMTF933KHs+CIRwelFa1/gSK9XpmgtLWkSCTnm7FnRXc9m6fZyyLWLumSbXG6H4eEIzaafBw/k8dlZP9GoH693EperzcZGgbt3ixSLHcrlAGfOmCSTHkIhRSoluPvwsNQGgkFh6oyMKCqVNqa5y/S0VEyHhuTre7+Xp5IDAJlyFAwG2dzc5M0336RWq5FKpbh//z4LCwu8++673L9/n9/4jd/A4/E83Ys9J3vmQd3tdvPmm28+hLkeRt4/yOzjn5TFbGxssL29/dDWCORD/frXRWnR4ZBWfbdbsDuZpShOEgopYjEXSrlptXxUKk1qtRQffnibZDJEX5+DgQEvU1P9nDu3xwe3ueDtthSo7tyRKUyBgDwuGu66l/kHg6LQGArR5c9r7t3TfOtbaTweE5crTjYr21tptIBcTv7XcFgTj3u5csVHrabZ3GxTr1cpFHLU6yWq1QhaB3E63ZTLoh2jlGTu3/pWHrc7wvi4p5thSaHs7NmnC+ggN+7r168zOztLrLuKxsfHGR8fZ2VlhcXFRc6cOcPP/uzP8sUvfvHpXuwFsuHhYQYHB1FKPbaj9CDbD788zrft5qVwOMzZs2cfeiwWk6L84qIURFMp8bHBQcX585JAWJYik3GilJNmM8D0dIdOp8jqapqdHYvd3TCWVSMSCTM+7sPplB2njL+TYRN+vz3nUwqkjYZQKb1exfS07BYiEVlf0ajsVu3GJmiwuLhKODxONOohldqrLdko3MYG5PMOXK44kYg0+TUaTTqdAu+9lyIcVszMeHG54qTTBn4/jI0J7FQoNGk2s7z5Zpxw2MnkJAwPC1XzWWwI8/k8c3NzvPrqq3g8Hvx+P4lEAq01N27c4IMPPiAUCvHNb36TH/7hH376F3wO9lzgl/0BfP9wgKM+12ZUHJbFLCwsUK/Xee211w6kGsViUgTMdce4JpOK27eF223T+4aHdY/2F4spEgk3fX2jTE4Ok0yuUq+3mZysMTNzk0QizNZWP42Gj3xe43KJU+/swPvvq+7ADNGbcbslaA4NCYQjQzikcGNPZVpeTpJOh4jH/VQqck32bsK+vlJJCratlmRCAwOgtQOHI8zKSgi/vx+3u8zdu2UymSIOh5Ns1kur5SKXq9Bq+ZicdNNqifb0K69I+/bT1iybzSYffvghs7OzDw14ANE6+dN/+k/zMz/zM3zv937v073QC2gOh6PHNT/prIDHQYn1ep2bN28yPj7O4CFCPNGoQCSlknSZhsMChyglfqe1ZMUTE6o76MJkdTXKwECUQKDB2loRrd1UKlUymTT9/T6CwSiGYTA4KPh4vS41oFpNakVuN1y4IJl6qbTHg4c9CrB0p5bZ2bnHN75xDq/Xw+6uQDEOh9Bxb92yKZKqCxnaUKkGnNTrCUKhBJVKi3feqVGt7tBqKfr7nWxuhrqd40WGhmJo7eTMGfijf1QgTXtq1NNYoVB4KKDvt3/7b/8t/+bf/Bt+93d/91BJ8BfFnktQ39959zipgIPMpsUdFNA7nQ63b9/G7/c/UcLU5RLn29kRMaTZWeGm29BMtSpSvDZ7pd3WVCod1tdvcvFilKWlmS6/3cLpTHPzZp5UKkul4mdkxEM87mFxUbIOj0fYLdLkIZ2nuZxk8bHY3ha1WtUsLeWoVuNo7WZpSQqutdqeVrYoJ0oGFo9L48bMjNwQ3nlH6JfZLIBifDzIm28K/JJMNslkauzsVNDawOVyEom06O938Npr8PnPP73Tt1otPvzwQ6anpz8S0NPpND/yIz/CT//0T38mA/qjdlxJC/v4w6DEQqHA3bt3uXDhAhGhgxxogQB83/fZs3ilgzqTsbNfGeJss0O0lgxZJoHV2dzcYWhoiLExN6WS5swZLz5fjmRyjkTC4s03w8TjfdTrnh5zJhIR4bpOR6Q04nFhn5RK9HjxLpcimSyxvLzEyy9fot324vdLoE2lhEueTtswjmT99brUpiQYi4KjMGsUPp+LfN5Jux3uKqw22N6ud2nIQZxOufFMTfHUInT73/979+7xyiuvfCSg//Iv/zI/+7M/y6/8yq+88AEdnjOlEY7n/Fpr/H4/9+7do7+/n/7+/l43op3FjI6OHjgN6SBzuWRLJhii7g63lQkurZYsCgmkGqezzeLiAlevDpNOD5DNilRAp2N09Z9hc1NRqbQolWp4vXksy027HaBQcNJoCGYu3F4ZAH3/vj3fUTrgWq0G/f1Bmk0Xprk3E7Jc1iSTCodDri8QkGJoICCPgwTz5WW4eVOu3+ORhTE2JguhUnGwsdHpUbtarRrx+C5jY0X6+120WvFeZ91JrNVqcf36daampkgkEg89ls1m+ZEf+RH++l//63z/93//ic7/abPj+rUMVGn1fDsej/c+i52dHVZWVnj11Vd7OkiPs8FB+DN/RthQ8/O665eSsIAMGS8URBQul9OsrDRQKksiMUwo5MTvl7pOIOAjGvXjdI4QjTbwenfY3r5DqaTpdIYpFuO02278foEGRdJWd7njQjvc2QGfr8ja2jZvvnkWp9PL6upebenVVwWS3N2FbFaSKY9HBPX8foGLZNaoNMyVSgB6H2tH4fMptO4wMhLsShnUaLU2WFqqYBgxEonEU9ELi8ViL6A/+v7/+q//On/37/5dvvnNb/aKqS+6qWPQzY58YLPZ7GXq9+7dY2BgoIe9HnryfQXRdrtNOp0mlUpRr9cJBoPkcjleeumlJ57nICuX4db/v71vD2vqzNZ/N7lAIIRLSIKAXERRkItatNrR1ra2teoA2mp1pqee2tbTTtsZz/H0NmdmOtOptTPt06cXf8f2nJnO2NPaWsFSq7S2MrXWqdYrNxVEBIQAuXJJAuS2v98fX/Y2gSAgiSDkfZ48GrLJ/hLWXnt9a73rXZW0Y/TgQeDsWaqRIRAQZGYCQqENhLRBoVAiISEELS2Uuy4WE9e8RODwYcZjoDUhlNcuFtvQ2+tARIQdhEhgs4nQ0hLkElfidhL0u6DzHxle7Mhup5G6RAKX4h7NixMCyOVUVS8jgzr2qiq6Haa68PQ9Y2KAhQuB7m4nnM5GEBKL8PAwiMX0ZnXbbUBMjBNmsxE6nY7njCsUCsjl8iGnxNwdet9u4I6ODtx333149tlnsXLlymH/bdwwmv3WQ7JtlmX59AshBEePHsUtt9xy9Td2y58DNCLUarUwGo18wGK325GTkzNscSijkaqQlpZS7nl3N60ZtbZSu7XbgRkzutDR4UB6epQrIgY//WjGDLh0hBjExNAdoVgMVFc7cPJkF06fdsJstiMmJhgME4aoKFqfiY6mNSKWZXD5cgeMxnbI5Qno7RUiPp7m0G+9lYrGWa10x6pWM2hro+3+cjntw7DbGZ4T39tLGWJUH4Y6+4YGoKuLhUBghUwWgqQkSiPOyqK7ldRUCzo7ddDr9WBZFjExMVAoFJBKpUNm3JlMJpw9e9arQ//HP/6BP/zhD9i/fz+UHMn/2nBdbfu6pF8Ga7romz8Xi8WIi4tDXFwcWltbUVdXB6lUipqaGkRFRUGpVCIyMnLIUadUSvVdpk/nBjITtLQwsNsZaDQ2aLU9CA2Nh04ngNNJnaxKRXVYwsKofjWdSkQdMR0mwMBqZTBlSggMBkCjYdHR4QTL2tHdHQTA3WHSvylHUxYI6GR0mYy2QCsUgFzOoLsbrkHThOe+X75Mv8+GBnqx6PXU+UuldC0mkx1qtR65uSqEhoYiNZUWuNLSOCaAABKJAgqFAoQQmEwm6HQ6XL58GQKBgL8Q+s7L5MClXJKTk/s59K6uLqxZswb//u//PlKHfkPA3VEMxWl4s22OPud0OlFRUcFPBquoqIBSqYRCoRhy1BkdDdx+O+3IPHCAdhUbjYxLuIvBhQs22O1CJCXJXLlvqvApFF7RW6FCczSdwTXs2GxCAHK+W7OtzQqRyAyNxoBp04IgkYTA4YhAW1snamp64XQmQ6ej9iqX093m5cvUdru64FItvTIEXi4n/Ozdjg56vNFI18DJ9+p0NH/PsiwyM0OgUjHIzKQOffZsulsRiymbhuuG5rjmFosFkZGRUCgUiIqKGrDFn3Po2dnZ/Rz64cOH8eKLL/rCoV93XJf0y0A59cFoXY2NjTAYDLj55pshEok8+NE1NTUIDw/nt7KDaTPQNn/gJz+hz0+cILh0qRe1tVZYLBGwWGjxJjSURsjBwfThcNCoIiSEGi0htHXaZKJMlsZG2lknEgUhPDwIDCNCdzcn0EV1nrl/BQLqsIODaR7dZqM5S4GAzlLlZp+yLE0NCYU08mpqolENl2q1WBiXVgdBV1crfvKTGCxYEAqF4ooCnzeGC8MwkMlkkMlkSE1NRW9vL/R6Pa+aGR0dDYVCgYiICL62UVZWhsTExH6GbTabsXbtWjzxxBNYs2bNECxhYmGwZjnOiXPNS93d3dDpqAYPnYSlgFKpHPBmy4GLuJVKGhE3NlKbbGnpAcsKIRKFoqODBiXx8dRW7XZqx0ol/T06pJngwgVKd2UYuAr8jIuxEgyZTOySrOiFTteJ9vYaEMIgPl6Js2dZyGR0eEVLCzd9jPZjRETQTtf2dgKlknENhac8+54emkIMC6MBDdV6odeI1UoQHOwAy4phtRJERBDccgttcPJWGxKJRB4NRR0dHdDpdLh48SJCQkKgUCg80jRmsxlVVVXIycnp9x3/8MMPeOGFF7Bv374BC9ZjGaOWU7+aQ2dZFtXV1QCA2bNne2hSy+VyyOVyvo1dq9Xi0qVLkEgkUChoRHq1tIJUSh17d3cbHA4rhMJEVFfTnKReT4tLoaF0e8ltYVmWslJo0xGNgliWuNgGNPfHRdliMWXBSKUOtLQ44XSKwTAAISxCQhwQiah4P8sKXBrUdNssElEubmIiTQn19tLtK5eblEppFEYZPMTV1NSO1NQYzJkTyg8JHg5CQkKQkJCAhIQEOJ1OGI1GtLa2orq6GmFhYTCbzUhOTu6nh97d3Y1169Zh/fr1+PnPfz68k04AXK23gmuWS01N9dj5hIaGIikpCUlJSbBardDpdKipqYHNZkNMTAyUSuVV0wrR0cDNNwPTpzug0TThzBklTKYQdHZShceQEBpcxMfTXaFaTWm3RiOVm1CpaCokIoLm6qOiKC+8tZUqOEqllC5rNIbg4kUL7PYYWK3R6OnpRXNzDwwGJwgJxsWLDLKzg9HZSVMvPT2El/uVSqkjr6+nu8mICLoT4AbD0MCJOnqWdSA8XITQUIJFi4AHH6Q77aHYOOX1RyM6OhqEEI8bJsuykMlk0Ov1mDVrVj+HfuLECfznf/4n9u7di/j4+GH93ccK/JJTd59g1NzcDKfTiaSkpCtvdJUoxm63o6KCthMnJiYOOTfGCfbodDoIBAJ+K9u3ks1RIi0WO1SqdBw/HoS9e4GWFhqpcwZtsdDovLubwGymRSGnkw7hSEwkLj1zjitMW/mDgxnQtKgVDGODQCBFWxvDa6TLZATBwQTd3Xb+6yREAKVSCImE6sAHB9Mp7lxnn8FAi60NDZQh4HAwkMlYREbqkJERidWrxUM29qHCbrfj1KlTkEgksFqtfJpGLpdDKBRi3bp1uO+++/DYY4/5Unp0zOfUAcBKR1kBoBHdggUL+jG0Buqt4JrlZs6cOeQxaO71JYvFgujoaD792Pf9OTJBbGwiLJZY7NoFnDpFbTshgRIC4uJo2u/yZYKUFGrPtbXUqTudBLm5cA1yoTu72lrapdzVRVx6SEbQYmw0DAZ6rEZD2Vp6vRVWqxXBwXbIZAyUylDEx4dAJqPBUXAwg1On6LVDJxURVFVxnbrElRq1gWVtCA2VIi6O3qjWrPEdy6W9vR2VlZWQSqWwWq18miYyMhKVlZX4xS9+geLiYqTQsVC+wo2fU/c4gVDocSFcLYrp7u5GRUUFpkyZMuw8llQqhVQq5aUJtFotzp49C6fTyW9lJRIJqqqqIJFIMGtWBhiGwZIlNLd3/Djdtra30+hbKGTQ0kK3plTLhebag4IIkpLoOLoLF+hQAKGQ8A1OnZ12OBy0Us8wdAZqVxdNtZhMjKvRQwyRiFLFHA47HA4L1GohgoKcCA8XQyYTobWVpmR0OoZXjZw0iYHF4oTJZEJmZiRmzxZfU4R+NXC53qSkJEyaNAkA+DTN3/72N7z99tuYMWMG5s+fPya1pK8nuIYigUAwaLOcWq1GS0tLv2a5wSAUChEbG4vY2FiwLOuxm5LJZFAqlYiOjkZPTw8qKysxY8YMnqWxYQMNUI4do/essDCqBfPdd5RiWFZGeMGs5mZugAtN+XFOlk5Ror/f06NHUJAYOp0MPT1X8vChodxuMxhCYQhEImoznZ0WyGRt6OkRIyhIhvDwMLS1MZDJaIpRIuGURGnTU0yMGWJxD5KTY5CYSHfUV5qaRg6LxYLq6mrMmTMHUqnUI03z0EMPobq6Gk8//TRv9zcqrmv65WpRTHt7O2pqapCRkQGZTDaic4aEhPAdjjabDXq9HhcuXEB7ezsiIyM9bhhSKS025eRQ2lVdHc3/1dZSg4uNpWPE6ABgmp6x2WjUzrJ022s202ajpiYrnE4CkSiU11ahXX401ygS0W2s00lc05QYdHWJYLWKYbMRaDR2NDWxuHyZKiqqVEFgWRGUSsoMCAmxISioA0uWyHDPPWKfGjxA/z5lZWWIi4vzMOyQkBCoVCocPXoUTz31FDIzM4elezKe4G36Eefc3SdEceCEzXp6egZslhsq3JUyCSHo6OjgW9jtdjtSUlI8FDETE4FHHqHt811dNM997BhBUxPDq5B2dsI1E4BKXbS2Emg0DCwWOoxCJuNszACRKBxTpoQgOJhAIqGpEpGI8M13Fgu1bbOZgVAYjLa2YDBMNBITqTRvZaUZNTXRrglNItx6K4OEBCqdERRkwtSpBqxYkYDwcEpU8KVtWywWVFRUICsri/+OuDRNW1sbjEYj/vrXv6K6unpE4xvHAvzGfuHAFUqv5tBbWlrQ3NzstZNrpBCLxYiKikJTUxPS09MhEAh4vfCoqCi+Qh4bSzvqpk+/MvezsJBelNOn09QJy1KBI5OJVue7uq7MgzSZTOjuFiM4OASE0GYhlYpye7mOUZOJFrIALmqiKRaAzp2Mjha7Jr0EQ6OxQyLphtncDafThtmzGcTHt2L+/KmYOjXYpwYPXHHoXLHJHQ6HA4888ghuvvlmPP/88xM+QufANdZxcwP6OvThNMsNFxyTxmazoaOjA+np6ejo6MDp06chEon49KNUGoysLPo7RiN91NfTvgmHg9aHuLRyby8t1ptMHOWWFvQtFhOmTAmFQBAMvZ7WeerqaPGeXs+0qE/vV/SmFxpKrwsakQdDpQqGXM7AbnciKMiKpiY7goKMSEgIQ0KCBVKpDatWJSMmxvcOlcsAuGtEcaipqcGGDRvw0UcfISsrC8uXL/f5+a83rkukbrPZ4HA4IBAI+kUxdXV1sFgsuOmmm/wyXcRkMqGqqgoZGRl8N5hSqeSZNDqdDhcuXPBg0kRHCxAdTZkBej3tmquupobc0UG7RCMi6PBqhiFobTVBImHBMMFgGDpQurubbi+pEiMdGE0I3epyo8QIgUsylTYtcUp3ERGAXC7ErFkyKJVAWFgbLJaLUCqFcDrPwWhUQCBQDKlRZShwOp0oLy9HbGxsv8Yup9OJxx9/HFlZWQGH3gecljyn4OeOa2mWGy44dthNN90EoVAIuVyO1NTUAZk00dGhWLmSNgRdukSbldRq2kAE0CAjN5fBwYPExc4isNvNEIkkMBgE6Oykw16CghhXgZMyaQQCqogqFBLExTHo6aE3g7AwmtKRyxmEhxPXVKMgiEQSREQAc+YEw2JpQmJiG6KiAL3eBoahQZavomVubmxmZma/OsalS5ewfv167NixA1ncnW8cwC+FUq4dmhACq9WK8+fPw2KxQC6XQ6lUIiIiAizL4uzZs5BIJPxwBV/DYDCgtrYWWVlZV52T6c6kMRgMCAkJ4SMdjkljNtPmpRMnaN7dZKKOuaGhBXZ7GMLCIlFTQ7exTicdzzVnDo3oa2poQfXCBbptjYigA6elUnqcQEB3CFFRNI3DMPSGEB0NWK0GXL58EbNmzUJwcDB6e3v5grDdbue/0/Dw8Gv6DjmHrlKp+lX7nU4nnn76acTFxWHLli0j/htt2LAB+/btg1KpRFVVVd+XGYae4C0AywB0A/hXQsjpEZ10aBiybdvtdj7VotFoUF9fD4lEAqVSiZiYGIhEInR1deHs2bMe+W2fLtal4mi325GRkXFVB2iz2aDVaqHT6XgmjUKhQHh4OOx2KmHR0UEd9KlTcHVDA4RYUVdngEwmR2RkMJqbGej1NPLu6qLHA+CloFNTKR1YoaDNTAYDFdmKj6c8+uRkGiR1dNC0plRKoNc3QCjsRW7uDNCxjjTIam9v55vkYmJiht2UxaGnpwfl5eVeU7qNjY1Yu3Yt/vKXv2Du3LnX9P7uGEu27RenzrIsbDYbz3DhRLqMRiM0Gg26urpgt9sxadIkTJs2zS8OvaWlBWq1Gjk5OcMeO2WxWPgLQSAQ8JFOSEgIzGa4coh21NWdQ2RkDHp749HQQLVZOjupY09JAbKy6Ba3poZeBJ2dNHIJD6fO+6ab6POwMO/8cp1Oh/r6esyaNcvrZ3A4HDAYDNDpdDCZTHwlPzo6ekiRDsuyKC8vh0KhQEJCQr/XNm3ahMjISPz5z3/2SeR0+PBhSKVSPPTQQwMZ/jIAT4Ma/s0A3iKE3DziEw+OYXVL99UmMpvNvL1wcgDZ2dl+0QlxOp04e/asq9EsdVjXzmBMGs7BOxyduHChFsnJ6ZBIwqBWU9s+epQ6dS4fz6VwRCK4RiPSYRdiMXX0c+ZcsW2O1ghcuSmxLOt1AL17k5zBYIBQKOTpykNNz17NoTc3N2PNmjXYvn07FixYMOTv72oYS7btF6f+/fffIzw8HFOnTu3nDLh0yKRJk9Dd3Y3Ozk5ERETwVfyROg9CCBoaGtDR0YHs7OwRp3S4yFir1fJMmsjISNTW1iIpKQkqlQo2G43kjUYaxYhENIXCGXJ7O6U9RkTQKNxmo1H51fLiGo0Gly9fxqxZs4bUzu9eyW9vb0doaCgf6Xj7fc6hx8TEYLL77C/Xa88++ywEAgHeeustnxaOGhoasGLFioEM/z0AhwghH7t+UANgMSGk1WcL8I4h2TYhBLt378bChQsRERHhtVlOq9VCLpfDYDDw1FqlUumT0Wd2u51Pk/W9CQ8XHJNGq9Wis7OTZ9IAQF1dnUfbPDfTVK2mUTYn/dPURP+VyymDhc5MpQHMQKqJhBCcP38eAoGgn7TwQOjp6eF3p06nk9+dDsTb5xx6enp6vxtra2sr7r//frz11lu49dZbh/GNDY6xYtt+yal3dHRg69at0Ol0WLp0KfLz85Geno7Lly+jtbUV2dnZfDqE23ZptVrU1tYOq0u0L1iWRU1NDQghyMnJ8YkzCgkJweTJkzF58mTY7Xao1WqUlZXx2+yQkBDIZDJERzMDCvQPt6jZ2toKtVqN2bNnD3nr2bfhguPtnzlzht9tKBQ0D8+yLN8L4M2h//a3vwXLsti2bdv1ZgLEA2hye97s+pm/nfqQwGmd/+lPf0JsbCzy8/OxfPlyhIaG4vz58xCLxcjNzUVQUBBSU1N5Z1RZWQkAHtTa4YJzVH2blq4VfZk0nZ2dqK+vh9FohFwuR0dHB4RCIUQiEcRiyhPvyxWfMcP7ew9k74QQnDt3DsHBwcPaZUgkEp7NZrfbPeaLupMdgoKC0NvbO6BD12g0WL16NV5//XWfO/Qh4LrZtl8idQ4dHR3Yu3cvCgsLce7cOcTExOCNN95Adna2V2fB5bY1Gg0MBgPCwsKgUqn4pperwel08sMFkpOT/ZLSMZvNqKysREZGBqRSKT+Ulkt9KJXKERd51Go12traMGvWLJ8Vjvvm4R0OBxQKRb/UFyEEL730ErRaLf7yl7/4pXA9SDSzH8BWQsgR1w9KATxLCDnl84V4Yli2zUWbhYWFKC4uhtFoxH333Ydf/vKXAzpcq9UKrVbrseNTqVSDygAA4HP07sV+X6O5uRkajQbZ2dl8nweX+hiuJo03sCyLqqoqSKVSn403dCc7tLe3QyKRwGQyIT09vZ+SqF6vx6pVq/Dyyy9j6dKlPjl/X4wV2/arU+fwj3/8A3/9619xzz33YO/evbh48SLuvPNO5Ofn8+O6+p3MFW1qNBro9XqeK+0tncCN0IuPj/cb04DTu3bnuXLoa1zXutvgxqX5Im3kDVzKhfv+3PPwYWFhePPNN1FfX48dO3b45fzA2Nmi9sE12/bjjz+O7OxsdHZ2Yu/evZBIJMjPz8dPf/pTqFQqr8GFzWbjU3pc8VKlUiEsLKzf8VyxPzs7e0g3gOGCS1d2dnYiKyur39+dG+fG1QuGqknjDpZlPQIuf6C3txenTp1CZGQkLBYLn4ePjo6G1WrFqlWr8Lvf/Q4rVqzwy/mBsWPb18Wpc+fgDLa7uxslJSV8BL948WLk5+dj3rx5AzoTrhil1+shFAqhUqmgUCjgcDhQUVGBadOm9Rvc4CtwF5Y3ec6+GAqTxhvcLyx/pDy4SEkmk/EXFpeHr62txcMPPwyWZfHaa6/hgQce8Pn5OQxi+MsBPIUrxaS3CSHz/LaYKxiRbXN2zTnIoqIiFBcXQyAQ4Kc//Sny8/MRFxfn1cFz6oJarRY9PT2Qy+VQqVQIDw/n03DXUuwf6tpra2tht9uRnp4+qN31vRkNhXnFdSh7S/X5ClarFWfOnMH06dP7DZB+99138cknn+C2227Dq6++6rebCjB2bPu6OPWrobe3F19//TUKCwtx5swZLFy4EPn5+bjlllsGTLl0d3dDq9WitbUVPT09mDx5MhITE31SjOoLjUaDxsbGARkog4Fj0uj1egQFBXkwaThcunQJZrMZmZmZfnXo4eHh/TQtCCHYtm0bjh49ihdffBEXL17E6tWrfb4GAFi3bh0OHToEvV4PlUqFP/zhD7w++eOPP87RvrYBWApK+3qYEHLSL4vxhM9tmxACtVqNoqIifPbZZ7Db7VixYgXy8/ORlJTk1Qk6nU7o9XpoNBq0t7dDIBAgIyMDUVFRPk8nsiyL8+fPQyQSXRMDjWNeabVamM1mXuHTfa1cQ1tsbKzfxLGsVivKysowbdq0frMWurq6cP/99+ORRx6BRCJBeno6cnJy/LKOsWTbo+7U3WGz2VBaWoqioiIcO3YM8+fPR0FBARYtWtQvytXpdLh06RKmT5/OR8aEEJ5t4IvGHC7PeC0DDLyhL5MmJiYGvb29IIQgIyPDL3UAKppUxevi9H3tf//3f1FaWorCwkK/3BSHgRtC0Oua3pwQaDQa7NmzB3v27IHJZMLy5cuRn5/fr0fDXaE0JiYGOp0OXV1d1zRHYCD4uv7kjUkjl8vR1NSEhIQEv2mpcAPQvTl0i8WC1atX49FHH8WDDz7ol/MPA9fVtseUU3eH3W7H4cOHsXv3bhw5cgQ33XQTCgoKsHjxYlRWVoJhGGRnZ3s4e06yVKvV8sVA95F4QwW3je7q6kJmZqZf8ss2mw1VVVWwWCwQiUT8VlYmk/nMuRNCeE5z3+IUIQR///vf8cUXX6C4uNjn8gzXgHHr1PtCr9ejuLgYRUVF0Ov1uPfee5GXl4e4uDhUVFRg8uTJHs7WfY7ASCnADoeDbzYbKS3SGwghMBgMOHfuHK/f796Y5StwDt3bAPTu7m488MAD+PnPf44NGzb47JwjQMCp94XT6cSRI0ewe/dufPbZZ0hISMDmzZtx5513DhiR2+126HQ6aDSaIWtSA1caIxwOx5DyjNcCQggvHJSWlgaWZX3OpOHoYyEhIUhNTe33+v/93/9h9+7d2Lt3r88KcF999RV+9atfwel04tFHH8Xzzz/v8fqhQ4eQn5/P7xi44pULE8apu6O9vR179+7Fzp07UV5ejhUrVuDRRx8dMBXHCXlxKZrhFOVtNhvKysr4/gp/gDsHN8uWq4X5kknDnSM1NbWfQ+/t7cW6deuwatUqbNy40ScB0gjtGgg49YFx7Ngx7N69GytXrsSePXtQWlqKtLQ0FBQU4O677x4wIuc66TQaDV+M8hYVsyyLc+fOQSwW+63TlXO2YrHYqzwCV7zUarX8Rcs1EQ11xzAYH3jXrl3YsWMH9u/fP+xdzEBwOp1IS0vDN998g4SEBMydOxcff/wxMjIy+GMOHTqE119/Hfv27fP2FhPSqXP4zW9+g3nz5sFsNqOoqAh1dXW48847UVBQ4DEoxh3eKMBcVNw3Xcjx3P1JKODy296iZ24NI2XScPNyp0yZ0o+2aLVa8eCDD+Kee+7B008/7ZPr1wd2DYw3PXVfYv78+Zg/fz4AYOHChWBZFqdPn8bu3bvx+uuvIzk5GXl5ebj33ns9WoPdNamdTicMBgMuX77MF3hUKhWkUimqqqoQGRnptwo5p3cTFhaGlJQUr0bXt4moq6uLlwvgmDQxMTEDFm05DrVYLPbq0Pfs2YP3338fJSUlPnPoAHD8+HFMnTqVT/OsXbsWn3/+uYfxBzAwXn75Zf7/P/vZz2A2m/Hll19i27ZtOH/+PBYvXoyCggLMnTuXv7kzDIOIiAhERER4UIAbGho8WFdWq5Xvr/AXz723txdlZWVIS0sbcDi8RCLhpztxTBpuutNQmDTuA9D7OnS73Y6HH34Yt99+u88cOnBj2vUN5dT7IigoCLm5ucjNzcXWrVtRWVmJwsJCLF++3KPjz11Uyb11m0t7NDU1QafT8fM7WZb1edrlWri67hft1KlTeSZNeXk5z6ThukSBK2kdkUjkdRewb98+/Pd//zf2798/5Mk7Q4VarfagrCUkJODHH3/sd9zRo0eRk5ODuLg4vP7665g5c6ZP1zFeIJVKsXr1aqxevRq9vb04cOAA/va3v+GXv/wlFi1ahIKCAixYsICPyBmGQXh4OC/PwaU9Tpw4gd7eXiQlJflM1bMvuF3AjBkzEMkN0h0EYrEY8fHxiI+P55k0jY2NHkwa96Kwu0Pv2+DFSUPPmzcPmzdv9ukO+0a06xvaqbsjKCgIOTk5yMnJwUsvvcR3/K1cuRJRUVHIz8/HihUrPO7wQUFBkMlkqK+vR0ZGBkQiET/UWiaTQaVS+USPhuPqyuVyftDwtYCL8LnpTjqdDufOneOZNGazGcHBwV4d+oEDB/DGG29g//79flMO7Iu+a5gzZw4aGxshlUpRUlKCgoIC1NbW+nwt4w0hISHIz89Hfn4+rFYrSktLsWvXLmzevBkLFixAfn5+P4YYN65Nq9Vi9uzZ6Ozs5IOBgUY9Xgu44RMj2QVwfScqlYpn0rS1tfHXYXR0NJqampCcnNzPoXPS0JmZmXjhhRd8njK9Ee36hsqpXwu4yTOFhYV8x19eXh7y8vLQ09ODlpYWpKene2wZ3afKGI3GEenRcNK2SqXSL2wDgBaOKisr0dPTw+tqKxQKXnSqtLQUL730EkpKSnyiG+INR48exe9//3scOHAAALB161YAwAsvvDDg7yQnJ+PkyZPcjXZC59SvBXa7Hd999x0KCwtx5MgR5ObmIj8/H4sXL0ZtbS26u7v79VdwEgC+oABzshnetMp9AUIIjEYjzp4965VJw0lDT5o0Ca+88opfamA+sGsgUCj1H9w7/nbu3ImWlhZs3LgR//Iv/zJgx1/fDtHQ0NABi1F94XA4UFZWhvj4eL9xdTm2Dp3QNJ1PKel0OlRXV+Pjjz9GbW0tSktLR7RLGAwOhwNpaWkoLS1FfHw85s6di507d3psQ9va2vjW+ePHj+P+++9HY2Mj970HnPoI4HA4cOTIET54CQ8Px+9+9zssWbJkQIc9Egowp7bqTTbDV+Cun8mTJ0OpVHo08pWUlKC8vBzJycnYvn2734TnfGDXQKBQ6j8wDIOUlBRs3rwZZ86cwRtvvIHy8nI89thjsNlsfEu3e8df37w2l6tsaGhAcHAwL1fQl4Nrt9tRVlaGxMREv9HHuDZvzqEzDONRMzAYDNDr9bj11lvx2muv4Z133vHLOgC6hd62bRvuueceOJ1ObNiwATNnzsS7774LgGqkFBYWYvv27RAKhZBIJPjkk08Ck5R8BKFQiMWLFyMpKQkajQZPPPEEvvjiC2zZsgXTp0/3yhALDg5GQkICEhISeArwhQsXBqUAczpIOTk5ftGjAa449ISEBP764YbLJycn46OPPoLD4UBtbS3++c9/YtGiRX5Zx41o1xMqUh8Iw+n4c4f7MA2Og8tpUnNcXX+lO7i0ksPh8Dpo4Pjx49i0aRP27t3r1wjdhwhE6n4Ay7I4deoUdu/eja+//hopKSnIz8/H0qVLBxzwfjUKcGdnJ6qrq4ekg3St4OQF4uPjEdtH75eThu7u7vZrhO5jBNIvow33jj+dTodly5YhLy8P6enpAzp4joPb1tYGi8WCSZMmISUlxS+dmpxD54SY+q7p9OnTePLJJ1FcXNxPGmAMI+DU/QxOR7+wsBAlJSWIi4vjGWIDsVY4CjDXzco15SmVSr9Eo5xDj4uL65eyvB7S0H5CwKmPJXAdf0VFRWhubsZdd92FlStXeu3447i6ycnJsNvt0Gq1YFmW1872RWTDDeu2Wq1e9WIqKiqwceNGFBUVYdq0aSM+HzB4Rx0hBL/61a9QUlKC0NBQ/P3vf8ecOXOGe5qAU7+O4BrUCgsLeUaUN4YYB71ej4sXLyIpKQlGoxFdXV2IjIyESqXyiR4NcMWhT5o0qZ+ENiEEr776Ki5duoQPPvjAZw59XNo2IWSoj3749NNPSUZGBmEYhpw4ccLbIYQQQr788kuSlpZGUlNTydatWwc8bqyjs7OTfPTRR2TVqlUkJyeH/Md//Ac5fPgwMZlMpLm5mZSWlhK1Wk0sFgv/aG9vJzU1NeT7778n3377LamsrCRardbjmOE8KioqyPHjx4nZbO732okTJ0hWVhY5f/68zz6zw+EgU6ZMIXV1dcRqtZLs7Gxy9uxZj2P2799Pli5dSliWJUePHiXz5s27llMNxxZ9/eiHiWTbLMuSmpoasmXLFjJ//nxy++23kzfffJPU1dURs9lMampqyLfffkva29t5WzOZTOTy5cvk5MmT5ODBg+T48eOkoaGBmEyma7Lrrq4u8v3335Pa2tp+r5nNZvLHP/6RrF69mtjtdp997vFq2yMy/HPnzpHq6mpy2223DWj4Q/nibkSYTCby6aefkjVr1pBp06aRpKQk8tlnn5Gurq4BDbejo4PU1taSf/7zn6S0tJSUl5eTtrY2rw7a26OyspL8+OOPXo8/ffo0ycrKIpWVlT79nD/88AO5++67+eevvPIKeeWVVzyO2bhxI9m5cyf/PC0tjbS0tAz3VGPKqU9U22ZZltTV1ZE///nP5Cc/+QmZPXs2WbhwIamurh7QTs1mM2lubianT58mBw8eJMeOHSP19fVXvRb6OvQjR46QCxcueH3vP/3pT6SgoIBYrVafftbxatsjYr+kp6cPesyN2GY7FHAdf5w08Lp161BUVITf/OY3WLRokVdNeJFIhLi4OMTFxfHFqPr6enR3dw+q0sgdN3PmzH6v19XVYf369fjggw+QmZnp0885lI46b8eo1Wq/0TivByaqbTMMgylTpuCZZ57B4sWLsWnTJixfvhwbN26Ew+HgGWKJiYkeDLGoqChERUWBkCsU4EuXLkEikfATy7xRgLk8v0Kh6Ke5TgiVhj58+DCKiop8PihkvNq23ymNQ22zvVEhEolw+PBh3uC4jr9PP/2U7/jzpgnvTY+mqakJJpMJUVFRfK6SYRjU19fzQzT6OvTGxkY8+OCDeP/99zFr1iyffz5CBu+oG8ox4xHj3bZzc3NRWlqKkJAQPPfcc2hra8OePXvw1FNPwWw2e2WIDYcC7D4AvW9jHiFUGvqrr75CcXGxX7T+x6ttD+rUGYY5CCC2r5bBli1bkJ+fP+gJbsQvZbhwjyCCg4OxbNkyLFu2DHa7HYcOHUJRURGee+455Obm8prw7kbaV4/GaDSitbWVl+cNCgrC7Nmz+31vzc3NWLduHd577z3k5ub65bMlJCSgqenKEPTm5uZ+RayhHDMWEbDtq4NhGJ69xTAMJk2ahCeffBJPPvkkdDodiouL8dxzz8FgMODee+9Ffn6+B73WXY8mNTWVpwCfOXMGAoEANpsNsbGxXsfcffjhh9izZw+++OILv2n9j1fbHtSpE0KWcP+9lhPciF+KryASiXDXXXfhrrvu8uj4++1vf4vs7GwUFBT004QPCgpCTEwMYmJi0NDQAL1ej7CwMJw4cYJvk5bL5dBoNHjggQfw9ttv88qV/sDcuXNRW1uL+vp6xMfH45NPPsHOnTs9jsnLy8O2bduwdu1a/Pjjj4iIiBjT21MOAdu+digUCjz22GN47LHHYDQasXfvXvz+97+HWq3G3XffjZUrV2LmzJkerBhOuygpKQllZWWQSCTQ6/UwGAx8UBMSEoJdu3bh448/xv79+/3W3ASMY9seRgJ+QFytmGS320lKSgq5dOkSX0yqqqryOMZgMJAlS5aQqVOnkiVLlhCj0ej1vZKSkkhmZibJyckhN91009WWNKbhcDjIkSNHyKZNm0hWVha5//77yYcffujBijl//jz54YcfeDaB2WwmarWanDlzhqxYsYIkJSWRF198kVgsFr+vd//+/WTatGlkypQp5OWXXyaEELJ9+3ayfft2Qggtrv3iF78gU6ZMIZmZmVdli1wFY6pQyiFg28NDR0cH+fDDD3mG2ObNm8n333/P27HJZCI//PADOXfuHG/rBoOBVFdXk8LCQjJjxgySkpJCysvLr8t6x6Ntj8jw9+zZQ+Lj44lYLCZKpZKvJKvVanLvvfde9YtzxzPPPMPTwbZu3UqeffZZr99MUlIS0el0V/vybjg4nU5y/Phx8swzz5CcnBxSUFBAHnroIfLmm296pYc1NjaSOXPmkHfeeYf8+te/JtXV1aP9EXyFMeXUA7Y9cphMJrJr1y6yZs0akpWVRZ566imSl5dHjh496pUFs2vXLrJgwQLy5ptvDvg93aC4cZy6r+BOE2ppaSFpaWlejxuPhu8Op9NJfv3rX5O0tDQye/Zssnz5cvLee++R5uZmYrFYSFNTE5k7dy754osvRnup/sCYcuq+QsC2KUwmE1m0aBGZP38+mTlzJnniiSfIV199RTo7O4nFYiF79uwhN998M9Hr9aO9VH/gutrzmOgojYyMREdHB/88KioK7e3t/Y5LSUlBVFQUGIbBv/3bv2Hjxo3+WtKo4eTJk8jKyoJYLOY7/vbt24fw8HCo1Wq8+uqrWLly5Wgv0x8Ylx2lAdumIITg22+/xR133AGr1YqDBw+isLAQJ06cQGJiIpqbm1FaWuo3raRRxviUCViyZAna2tr6/XzLli1Yv379kAy/paUFcXFx0Gq1uOuuu/DOO+/g1ltvHcmybggQQlBRUYFvv/0WmzZt8vn7G41GPPDAA2hoaEBycjI+/fRTr4M0kpOTER4eDoFAAKFQiJMnT/pyGTesUw/Y9rXDbrfjf/7nf7Bw4ULk5OT4/P0npG0PI6z3G4a6RXXHiy++SF577TV/LmvCYIzkfSd0+sUdAdv2HSaibY8J3cq8vDzs2LEDALBjxw6vHGGLxQKTycT//+uvv/Z59+RExeeff47169cDANavX4/i4uLRXdA4QsC2RxcT0raHcQfwG/R6PbnjjjvI1KlTyR133EEMBgMhxJNpUFdXR7Kzs0l2djbJyMjoxzQYTFiJZVny9NNPk9TUVJKVlUVOnTrlz490QyEiIsLjeWRkpNfjkpOTyezZs8mcOXPIe++95+tljMtIfaS2HbDrkWEi2vaYMPyR4jqqrd2wuPPOO8nMmTP7PYqLi4ds+Gq1mhBCiEajIdnZ2eS7777z5RLHpVMfCQJ2PTQEbNvzMS7G2Q1FWOnzzz/HQw89BIZhMH/+fHR0dKC1tXXsd4f5CAcPHhzwNZVKxX8Xra2t/PSmvuC6JZVKJVauXInjx49PiGLeaCFg10NDwLY9MSZy6iPFQEpqwz1moiKQ9x2bCNj1yDERbXtcOHVCxqfa2vXC888/j2+++QbTpk3DN998w09/aWlpwbJlywAAGo2Gp53NmzcPy5cvx9KlS0dz2eMeAbseOSaibY+L9Mt4VVu7XpDL5SgtLe3387i4OJSUlAAApkyZgvLy8uu9tAmNgF2PHBPRtsdFpO6utmaz2fDJJ58gLy/P45i8vDx88MEHIITg2LFjA6qtffXVV5g+fTqmTp2KV199td/rhw4dQkREBGbNmoVZs2bhpZde8tvnCmBiw5d2DQRse8Lgeldm/fUAsAzABQB1AP7L9bPHATzu+j8D4P+5Xq8EkOvlPQSu16cAEAMoB5DR55jFAPaN9ucNPCbGwxd27TouYNsT5DHqCxhLDwALABxwe/4CgBf6HHPDGD6A1QDOAmAHuthdxy0FUAPgIoDnR3vdgYdfbCFg2xPEtsdF+sWHiAfQ5Pa82fWzvljAMEw5wzBfMgwz08vrYwVVAFYBODzQAQzDCEAjvXsBZABYxzDMjTtkM4CBELDtCWLb46JQ6kN4ow30pRecBpBECDEzDLMMQDGAaf5e2LWAEHIeGJQNMQ/ARULIJdexnwDIB3DO7wsM4HoiYNsTxLYDkbonmgG4D0xMANDifgAhpIsQYnb9vwSAiGGYmOu3RJ9jqBFcADc2ArY9QWw7EKl74gSAaQzDpABQA1gL4GfuBzAMEwtAQwghDMPMA70xGq77Sq+s5yCAWC8v/Rch5POhvIWXn/lNXzyAUUPAtinGvW0HnLobCCEOhmGeAnAAlC3wPiHkLMMwj7tefxfA/QCeYBjGAaAHwFriqsj0BcMw7wNYAUBLCOnXosbQveNboAyHbgD/Sgg5Pcw1Lxn8qKti0AgugBsfAdsGMFFse7QrteP5AeBWAHMAVA3w+jIAX4JGFPMB/OindRzCwFQ3IYBLAFJwheo2c7S/u8BjbD8Ctj12H4Gcuh9BCDkMwHiVQ/IBfEAojgGIZBjGZ0pMDMOsZBimGZTOtp9hmAOun8cxDFPiWqMDABfBnQfwKSHkrK/WEMD4RMC2xy4C6ZfRxUCFnFZfvDkh5DMAn3n5eQtoJMU9LwFQ4otzBhCACwHbHiUEIvXRxYQs5AQwIRCw7VFCwKmPLiZmISeAiYCAbY8SAk59dLEXwEMMxXwAnYQQn2xPAwhglBGw7VFCIKfuRzAM8zGonkaMq6jzIgARwFPISkDzfxdBaV8Pj85KAwhgeAjY9tgF46L+BBBAAAEEMA4QSL8EEEAAAYwjBJx6AAEEEMA4QsCpBxBAAAGMIwScegABBBDAOELAqQcQQAABjCMEnHoAAQQQwDhCwKkHEEAAAYwj/H+ykDtO5aOaUQAAAABJRU5ErkJggg==" - }, - "metadata": { - "needs_background": "light" - } - } - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## What do the values of $i$ mean?\n", "Inclination in `orbitize!` is defined to go from 0 to 180 degrees. Some other places use -90 to 90 instead, but -90 to 0 is the same as 90 to 180. There are actual a couple of quick things to learn about the orbit from the value of inclination. Here is a summary:\n", @@ -106,12 +83,13 @@ " * $i = 180^\\circ$ : orbit is face-on and body orbits clockwise in the sky (North-up, East-left)\n", "\n", "Here are some examples below:" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "from orbitize.kepler import calc_orbit\n", "\n", @@ -128,10 +106,10 @@ "for i, inc in enumerate(incs):\n", " ax = fig.add_subplot(1, 5, i+1)\n", "\n", - " all_ras, all_decs, _ = calc_orbit(all_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", + " all_ras, all_decs, _, _ = calc_orbit(all_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", " ax.plot(all_ras, all_decs, 'k--', alpha=0.5)\n", "\n", - " arc_ras, arc_decs, _ = calc_orbit(arc_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", + " arc_ras, arc_decs, _, _ = calc_orbit(arc_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", " ax.plot(arc_ras, arc_decs, 'b-', linewidth=2)\n", " ax.plot(arc_ras[-1], arc_decs[-1], 'bo', markersize=7)\n", " \n", @@ -143,35 +121,21 @@ " ax.set_ylabel(\"Dec\")\n", " \n", "fig.tight_layout()" - ], - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "
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- }, - "metadata": { - "needs_background": "light" - } - } - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## What do the values of $\\Omega$ mean?\n", "$\\Omega$ or PAN defines the rotation of the orbit in the plane of the sky. Increasing PAN will rotate your orbit counterclockwise in the sky. Here are some examples:" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "sma = 1\n", "ecc, aop, plx, mtot = 0, 0, 1, 1\n", @@ -187,10 +151,10 @@ "for i, pan in enumerate(pans):\n", " ax = fig.add_subplot(1, 5, i+1)\n", "\n", - " all_ras, all_decs, _ = calc_orbit(all_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", + " all_ras, all_decs, _, _ = calc_orbit(all_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", " ax.plot(all_ras, all_decs, 'k--', alpha=0.5)\n", "\n", - " arc_ras, arc_decs, _ = calc_orbit(arc_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", + " arc_ras, arc_decs, _, _ = calc_orbit(arc_eps, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=0)\n", " ax.plot(arc_ras, arc_decs, 'b-', linewidth=2)\n", " ax.plot(arc_ras[-1], arc_decs[-1], 'bo', markersize=7)\n", " \n", @@ -202,47 +166,31 @@ " ax.set_ylabel(\"Dec\")\n", " \n", "fig.tight_layout()" - ], - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": [ - "
" - ], - "image/svg+xml": "\n\n\n\n \n \n \n \n 2021-09-03T15:57:22.622905\n image/svg+xml\n \n \n Matplotlib v3.3.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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4 +} diff --git a/docs/tutorials/MCMC_vs_OFTI.ipynb b/docs/tutorials/MCMC_vs_OFTI.ipynb index 433d67f4..645d066c 100644 --- a/docs/tutorials/MCMC_vs_OFTI.ipynb +++ b/docs/tutorials/MCMC_vs_OFTI.ipynb @@ -61,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -95,7 +95,7 @@ " 51550.0, 52650.0, num_obs\n", " ) # `num_obs` epochs between ~2000 and ~2003 [MJD]\n", " num_obs = len(observation_epochs)\n", - " ra, dec, _ = calc_orbit(\n", + " ra, dec, _, _ = calc_orbit(\n", " observation_epochs, sma, ecc, inc, argp, lan, tau, plx, mtot\n", " )\n", "\n", diff --git a/orbitize/__init__.py b/orbitize/__init__.py index 3c3475fa..724345e4 100644 --- a/orbitize/__init__.py +++ b/orbitize/__init__.py @@ -17,7 +17,7 @@ cuda_ext = False try: - from . import _kepler + from . import _kepler3 cext = True except ImportError: diff --git a/orbitize/_kepler.pyx b/orbitize/_kepler.pyx deleted file mode 100644 index dc539ebd..00000000 --- a/orbitize/_kepler.pyx +++ /dev/null @@ -1,65 +0,0 @@ -import numpy as np -cimport numpy as np - -cdef extern from "kepler.c": - void newton_array(const int n_elements, - const double manom[], - const double ecc[], - const double tol, - const int max_iter, - double eanom[]) - -cdef extern from "kepler.c": - void mikkola_array(const int n_elements, - const double manom[], - const double ecc[], - double eanom[]) - -def _c_newton_solver(np.ndarray[np.double_t,ndim=1] manom, - np.ndarray[np.double_t,ndim=1] ecc, - tolerance = 1e-9, - max_iter = 100, - np.ndarray[np.double_t,ndim=1] eanom0 = None): - """ - Wrapper function for C implementation of Newton-Raphson solver for eccentric anomaly. - Args: - manom (np.array): array of mean anomalies - ecc (np.array): array of eccentricities - eanom0 (np.array): array of first guess for eccentric anomaly, same shape as manom (optional) - Return: - eanom (np.array): array of eccentric anomalies - Written: Devin Cody, 2018 - """ - - # Initialize at E=M, E=pi is better at very high eccentricities - cdef np.ndarray eanom - if eanom0 is None: - eanom = np.copy(manom) - else: - eanom = np.copy(eanom0) - - - newton_array(len(manom), manom.data, ecc.data, tolerance, max_iter, eanom.data) - - return eanom - -def _c_mikkola_solver(np.ndarray[np.double_t,ndim=1] manom, - np.ndarray[np.double_t,ndim=1] ecc): - """ - Wrapper function for C implementation of Newton-Raphson solver for eccentric anomaly. - Args: - manom (np.array): array of mean anomalies - ecc (np.array): array of eccentricities - eanom0 (np.array): array of first guess for eccentric anomaly, same shape as manom (optional) - Return: - eanom (np.array): array of eccentric anomalies - Written: Devin Cody, 2018 - """ - - # Initialize at E=M, E=pi is better at very high eccentricities - cdef np.ndarray eanom - eanom = np.zeros(len(manom)) - - mikkola_array(len(manom), manom.data, ecc.data, eanom.data) - - return eanom \ No newline at end of file diff --git a/orbitize/_kepler3.c b/orbitize/_kepler3.c new file mode 100644 index 00000000..13ba1de3 --- /dev/null +++ b/orbitize/_kepler3.c @@ -0,0 +1,13201 @@ +/* Generated by Cython 3.2.9 */ + +/* BEGIN: Cython Metadata +{ + "distutils": { + "depends": [ + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include/numpy/arrayobject.h", + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include/numpy/arrayscalars.h", + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include/numpy/ndarrayobject.h", + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include/numpy/ndarraytypes.h", + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include/numpy/ufuncobject.h", + "orbitize/kepler3.c" + ], + "include_dirs": [ + "orbitize", + "/home/edror/miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/_core/include" + ], + "name": "orbitize._kepler3", + "sources": [ + "orbitize/_kepler3.pyx" + ] + }, + "module_name": "orbitize._kepler3" +} +END: Cython Metadata */ + +#ifndef PY_SSIZE_T_CLEAN +#define PY_SSIZE_T_CLEAN +#endif /* PY_SSIZE_T_CLEAN */ +/* InitLimitedAPI */ +#if defined(Py_LIMITED_API) + #if !defined(CYTHON_LIMITED_API) + #define CYTHON_LIMITED_API 1 + #endif +#elif defined(CYTHON_LIMITED_API) + #ifdef _MSC_VER + #pragma message ("Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.") + #else + #warning Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead. + #endif +#endif + +#include "Python.h" +#ifndef Py_PYTHON_H + #error Python headers needed to compile C extensions, please install development version of Python. +#elif PY_VERSION_HEX < 0x03080000 + #error Cython requires Python 3.8+. +#else +#define __PYX_ABI_VERSION "3_2_9" +#define CYTHON_HEX_VERSION 0x030209F0 +#define CYTHON_FUTURE_DIVISION 1 +/* CModulePreamble */ +#include +#ifndef offsetof + #define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) +#endif +#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS) + #ifndef __stdcall + #define __stdcall + #endif + #ifndef __cdecl + #define __cdecl + #endif + #ifndef __fastcall + #define __fastcall + #endif +#endif +#ifndef DL_IMPORT + #define DL_IMPORT(t) t +#endif +#ifndef DL_EXPORT + #define DL_EXPORT(t) t +#endif +#define __PYX_COMMA , +#ifndef PY_LONG_LONG + #define PY_LONG_LONG LONG_LONG +#endif +#ifndef Py_HUGE_VAL + #define Py_HUGE_VAL HUGE_VAL +#endif +#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX +#if defined(GRAALVM_PYTHON) + /* For very preliminary testing purposes. Most variables are set the same as PyPy. + The existence of this section does not imply that anything works or is even tested */ + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #define CYTHON_COMPILING_IN_LIMITED_API 0 + #define CYTHON_COMPILING_IN_GRAAL 1 + #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 0 + #undef CYTHON_USE_TYPE_SPECS + #define CYTHON_USE_TYPE_SPECS 0 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #undef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #undef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 1 + #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0 + #undef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 0 + #undef CYTHON_ASSUME_SAFE_SIZE + #define CYTHON_ASSUME_SAFE_SIZE 0 + #undef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 0 + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_GIL + #define CYTHON_FAST_GIL 0 + #undef CYTHON_METH_FASTCALL + #define CYTHON_METH_FASTCALL 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #ifndef CYTHON_PEP487_INIT_SUBCLASS + #define CYTHON_PEP487_INIT_SUBCLASS 1 + #endif + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 1 + #undef CYTHON_USE_MODULE_STATE + #define CYTHON_USE_MODULE_STATE 0 + #undef CYTHON_USE_SYS_MONITORING + #define CYTHON_USE_SYS_MONITORING 0 + #undef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #undef CYTHON_USE_AM_SEND + #define CYTHON_USE_AM_SEND 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 1 + #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC + #define CYTHON_UPDATE_DESCRIPTOR_DOC 0 + #endif + #undef CYTHON_USE_FREELISTS + #define CYTHON_USE_FREELISTS 0 + #undef CYTHON_IMMORTAL_CONSTANTS + #define CYTHON_IMMORTAL_CONSTANTS 0 +#elif defined(PYPY_VERSION) + #define CYTHON_COMPILING_IN_PYPY 1 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #define CYTHON_COMPILING_IN_LIMITED_API 0 + #define CYTHON_COMPILING_IN_GRAAL 0 + #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #ifndef CYTHON_USE_TYPE_SPECS + #define CYTHON_USE_TYPE_SPECS 0 + #endif + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #undef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #undef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 1 + #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1 + #undef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 0 + #ifndef CYTHON_ASSUME_SAFE_SIZE + #define CYTHON_ASSUME_SAFE_SIZE 1 + #endif + #undef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 0 + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_GIL + #define CYTHON_FAST_GIL 0 + #undef CYTHON_METH_FASTCALL + #define CYTHON_METH_FASTCALL 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #ifndef CYTHON_PEP487_INIT_SUBCLASS + #define CYTHON_PEP487_INIT_SUBCLASS 1 + #endif + #if PY_VERSION_HEX < 0x03090000 + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 0 + #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT) + #define CYTHON_PEP489_MULTI_PHASE_INIT 1 + #endif + #undef CYTHON_USE_MODULE_STATE + #define CYTHON_USE_MODULE_STATE 0 + #undef CYTHON_USE_SYS_MONITORING + #define CYTHON_USE_SYS_MONITORING 0 + #ifndef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE (PYPY_VERSION_NUM >= 0x07030C00) + #endif + #undef CYTHON_USE_AM_SEND + #define CYTHON_USE_AM_SEND 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 + #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC + #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_NUM >= 0x07031100) + #endif + #undef CYTHON_USE_FREELISTS + #define CYTHON_USE_FREELISTS 0 + #undef CYTHON_IMMORTAL_CONSTANTS + #define CYTHON_IMMORTAL_CONSTANTS 0 +#elif defined(CYTHON_LIMITED_API) + #ifdef Py_LIMITED_API + #undef __PYX_LIMITED_VERSION_HEX + #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API + #endif + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #define CYTHON_COMPILING_IN_LIMITED_API 1 + #define CYTHON_COMPILING_IN_GRAAL 0 + #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 0 + #undef CYTHON_USE_TYPE_SPECS + #define CYTHON_USE_TYPE_SPECS 1 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #undef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 0 + #ifndef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #endif + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #ifndef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0 + #endif + #undef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 0 + #undef CYTHON_ASSUME_SAFE_SIZE + #define CYTHON_ASSUME_SAFE_SIZE 0 + #undef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 0 + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_GIL + #define CYTHON_FAST_GIL 0 + #undef CYTHON_METH_FASTCALL + #define CYTHON_METH_FASTCALL (__PYX_LIMITED_VERSION_HEX >= 0x030C0000) + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #ifndef CYTHON_PEP487_INIT_SUBCLASS + #define CYTHON_PEP487_INIT_SUBCLASS 1 + #endif + #ifndef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 1 + #endif + #ifndef CYTHON_USE_MODULE_STATE + #define CYTHON_USE_MODULE_STATE 0 + #endif + #undef CYTHON_USE_SYS_MONITORING + #define CYTHON_USE_SYS_MONITORING 0 + #ifndef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #endif + #ifndef CYTHON_USE_AM_SEND + #define CYTHON_USE_AM_SEND (__PYX_LIMITED_VERSION_HEX >= 0x030A0000) + #endif + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 + #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC + #define CYTHON_UPDATE_DESCRIPTOR_DOC 0 + #endif + #ifndef CYTHON_USE_FREELISTS + #define CYTHON_USE_FREELISTS 1 + #endif + #undef CYTHON_IMMORTAL_CONSTANTS + #define CYTHON_IMMORTAL_CONSTANTS 0 +#else + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_CPYTHON 1 + #define CYTHON_COMPILING_IN_LIMITED_API 0 + #define CYTHON_COMPILING_IN_GRAAL 0 + #ifdef Py_GIL_DISABLED + #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 1 + #else + #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0 + #endif + #if PY_VERSION_HEX < 0x030A0000 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #elif !defined(CYTHON_USE_TYPE_SLOTS) + #define CYTHON_USE_TYPE_SLOTS 1 + #endif + #ifndef CYTHON_USE_TYPE_SPECS + #define CYTHON_USE_TYPE_SPECS 0 + #endif + #ifndef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 1 + #endif + #ifndef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 1 + #endif + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #elif !defined(CYTHON_USE_PYLIST_INTERNALS) + #define CYTHON_USE_PYLIST_INTERNALS 1 + #endif + #ifndef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 1 + #endif + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING || PY_VERSION_HEX >= 0x030B00A2 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #elif !defined(CYTHON_USE_UNICODE_WRITER) + #define CYTHON_USE_UNICODE_WRITER 1 + #endif + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1 + #elif !defined(CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS) + #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0 + #endif + #ifndef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 1 + #endif + #ifndef CYTHON_ASSUME_SAFE_SIZE + #define CYTHON_ASSUME_SAFE_SIZE 1 + #endif + #ifndef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 1 + #endif + #ifndef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 1 + #endif + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + #undef CYTHON_FAST_GIL + #define CYTHON_FAST_GIL 0 + #elif !defined(CYTHON_FAST_GIL) + #define CYTHON_FAST_GIL (PY_VERSION_HEX < 0x030C00A6) + #endif + #ifndef CYTHON_METH_FASTCALL + #define CYTHON_METH_FASTCALL 1 + #endif + #ifndef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 1 + #endif + #ifndef CYTHON_PEP487_INIT_SUBCLASS + #define CYTHON_PEP487_INIT_SUBCLASS 1 + #endif + #ifndef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 1 + #endif + #ifndef CYTHON_USE_MODULE_STATE + #define CYTHON_USE_MODULE_STATE 0 + #endif + #ifndef CYTHON_USE_SYS_MONITORING + #define CYTHON_USE_SYS_MONITORING (PY_VERSION_HEX >= 0x030d00B1) + #endif + #ifndef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 1 + #endif + #ifndef CYTHON_USE_AM_SEND + #define CYTHON_USE_AM_SEND 1 + #endif + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #elif !defined(CYTHON_USE_DICT_VERSIONS) + #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX < 0x030C00A5 && !CYTHON_USE_MODULE_STATE) + #endif + #ifndef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 1 + #endif + #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC + #define CYTHON_UPDATE_DESCRIPTOR_DOC 1 + #endif + #ifndef CYTHON_USE_FREELISTS + #define CYTHON_USE_FREELISTS (!CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) + #endif + #if defined(CYTHON_IMMORTAL_CONSTANTS) && PY_VERSION_HEX < 0x030C0000 + #undef CYTHON_IMMORTAL_CONSTANTS + #define CYTHON_IMMORTAL_CONSTANTS 0 // definitely won't work + #elif !defined(CYTHON_IMMORTAL_CONSTANTS) + #define CYTHON_IMMORTAL_CONSTANTS (PY_VERSION_HEX >= 0x030C0000 && !CYTHON_USE_MODULE_STATE && CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) + #endif +#endif +#ifndef CYTHON_COMPRESS_STRINGS + #define CYTHON_COMPRESS_STRINGS 1 +#endif +#ifndef CYTHON_FAST_PYCCALL +#define CYTHON_FAST_PYCCALL CYTHON_FAST_PYCALL +#endif +#ifndef CYTHON_VECTORCALL +#if CYTHON_COMPILING_IN_LIMITED_API +#define CYTHON_VECTORCALL (__PYX_LIMITED_VERSION_HEX >= 0x030C0000) +#else +#define CYTHON_VECTORCALL (CYTHON_FAST_PYCCALL) +#endif +#endif +#if CYTHON_USE_PYLONG_INTERNALS + #undef SHIFT + #undef BASE + #undef MASK + #ifdef SIZEOF_VOID_P + enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) }; + #endif +#endif +#ifndef __has_attribute + #define __has_attribute(x) 0 +#endif +#ifndef __has_cpp_attribute + #define __has_cpp_attribute(x) 0 +#endif +#ifndef CYTHON_RESTRICT + #if defined(__GNUC__) + #define CYTHON_RESTRICT __restrict__ + #elif defined(_MSC_VER) && _MSC_VER >= 1400 + #define CYTHON_RESTRICT __restrict + #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define CYTHON_RESTRICT restrict + #else + #define CYTHON_RESTRICT + #endif +#endif +#ifndef CYTHON_UNUSED + #if defined(__cplusplus) + /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17 + * but leads to warnings with -pedantic, since it is a C++17 feature */ + #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L) + #if __has_cpp_attribute(maybe_unused) + #define CYTHON_UNUSED [[maybe_unused]] + #endif + #endif + #endif +#endif +#ifndef CYTHON_UNUSED +# if defined(__GNUC__) +# if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +#endif +#ifndef CYTHON_UNUSED_VAR +# if defined(__cplusplus) + template void CYTHON_UNUSED_VAR( const T& ) { } +# else +# define CYTHON_UNUSED_VAR(x) (void)(x) +# endif +#endif +#ifndef CYTHON_MAYBE_UNUSED_VAR + #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x) +#endif +#ifndef CYTHON_NCP_UNUSED +# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING +# define CYTHON_NCP_UNUSED +# else +# define CYTHON_NCP_UNUSED CYTHON_UNUSED +# endif +#endif +#ifndef CYTHON_USE_CPP_STD_MOVE + #if defined(__cplusplus) && (\ + __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)) + #define CYTHON_USE_CPP_STD_MOVE 1 + #else + #define CYTHON_USE_CPP_STD_MOVE 0 + #endif +#endif +#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None) +#include +typedef uintptr_t __pyx_uintptr_t; +#ifndef CYTHON_FALLTHROUGH + #if defined(__cplusplus) + /* for clang __has_cpp_attribute(fallthrough) is true even before C++17 + * but leads to warnings with -pedantic, since it is a C++17 feature */ + #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L) + #if __has_cpp_attribute(fallthrough) + #define CYTHON_FALLTHROUGH [[fallthrough]] + #endif + #endif + #ifndef CYTHON_FALLTHROUGH + #if __has_cpp_attribute(clang::fallthrough) + #define CYTHON_FALLTHROUGH [[clang::fallthrough]] + #elif __has_cpp_attribute(gnu::fallthrough) + #define CYTHON_FALLTHROUGH [[gnu::fallthrough]] + #endif + #endif + #endif + #ifndef CYTHON_FALLTHROUGH + #if __has_attribute(fallthrough) + #define CYTHON_FALLTHROUGH __attribute__((fallthrough)) + #else + #define CYTHON_FALLTHROUGH + #endif + #endif + #if defined(__clang__) && defined(__apple_build_version__) + #if __apple_build_version__ < 7000000 + #undef CYTHON_FALLTHROUGH + #define CYTHON_FALLTHROUGH + #endif + #endif +#endif +#ifndef Py_UNREACHABLE + #define Py_UNREACHABLE() assert(0); abort() +#endif +#ifdef __cplusplus + template + struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);}; + #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL::value) +#else + #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0) +#endif +#if CYTHON_COMPILING_IN_PYPY == 1 + #define __PYX_NEED_TP_PRINT_SLOT (PY_VERSION_HEX < 0x030A0000) +#else + #define __PYX_NEED_TP_PRINT_SLOT (PY_VERSION_HEX < 0x03090000) +#endif +#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer)) + +/* CInitCode */ +#ifndef CYTHON_INLINE + #if defined(__clang__) + #define CYTHON_INLINE __inline__ __attribute__ ((__unused__)) + #elif defined(__GNUC__) + #define CYTHON_INLINE __inline__ + #elif defined(_MSC_VER) + #define CYTHON_INLINE __inline + #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define CYTHON_INLINE inline + #else + #define CYTHON_INLINE + #endif +#endif + +/* PythonCompatibility */ +#define __PYX_BUILD_PY_SSIZE_T "n" +#define CYTHON_FORMAT_SSIZE_T "z" +#define __Pyx_BUILTIN_MODULE_NAME "builtins" +#define __Pyx_DefaultClassType PyType_Type +#if CYTHON_COMPILING_IN_LIMITED_API + #ifndef CO_OPTIMIZED + static int CO_OPTIMIZED; + #endif + #ifndef CO_NEWLOCALS + static int CO_NEWLOCALS; + #endif + #ifndef CO_VARARGS + static int CO_VARARGS; + #endif + #ifndef CO_VARKEYWORDS + static int CO_VARKEYWORDS; + #endif + #ifndef CO_ASYNC_GENERATOR + static int CO_ASYNC_GENERATOR; + #endif + #ifndef CO_GENERATOR + static int CO_GENERATOR; + #endif + #ifndef CO_COROUTINE + static int CO_COROUTINE; + #endif +#else + #ifndef CO_COROUTINE + #define CO_COROUTINE 0x80 + #endif + #ifndef CO_ASYNC_GENERATOR + #define CO_ASYNC_GENERATOR 0x200 + #endif +#endif +static int __Pyx_init_co_variables(void); +#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE) + #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type) +#else + #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type)) +#endif +#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is) + #define __Pyx_Py_Is(x, y) Py_Is(x, y) +#else + #define __Pyx_Py_Is(x, y) ((x) == (y)) +#endif +#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone) + #define __Pyx_Py_IsNone(ob) Py_IsNone(ob) +#else + #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None) +#endif +#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue) + #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob) +#else + #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True) +#endif +#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse) + #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob) +#else + #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False) +#endif +#define __Pyx_NoneAsNull(obj) (__Pyx_Py_IsNone(obj) ? NULL : (obj)) +#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY + #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o) +#else + #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o) +#endif +#ifndef Py_TPFLAGS_CHECKTYPES + #define Py_TPFLAGS_CHECKTYPES 0 +#endif +#ifndef Py_TPFLAGS_HAVE_INDEX + #define Py_TPFLAGS_HAVE_INDEX 0 +#endif +#ifndef Py_TPFLAGS_HAVE_NEWBUFFER + #define Py_TPFLAGS_HAVE_NEWBUFFER 0 +#endif +#ifndef Py_TPFLAGS_HAVE_FINALIZE + #define Py_TPFLAGS_HAVE_FINALIZE 0 +#endif +#ifndef Py_TPFLAGS_SEQUENCE + #define Py_TPFLAGS_SEQUENCE 0 +#endif +#ifndef Py_TPFLAGS_MAPPING + #define Py_TPFLAGS_MAPPING 0 +#endif +#ifndef Py_TPFLAGS_IMMUTABLETYPE + #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8) +#endif +#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION + #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7) +#endif +#ifndef METH_STACKLESS + #define METH_STACKLESS 0 +#endif +#ifndef METH_FASTCALL + #ifndef METH_FASTCALL + #define METH_FASTCALL 0x80 + #endif + typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs); + typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args, + Py_ssize_t nargs, PyObject *kwnames); +#else + #if PY_VERSION_HEX >= 0x030d00A4 + # define __Pyx_PyCFunctionFast PyCFunctionFast + # define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords + #else + # define __Pyx_PyCFunctionFast _PyCFunctionFast + # define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords + #endif +#endif +#if CYTHON_METH_FASTCALL + #define __Pyx_METH_FASTCALL METH_FASTCALL + #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast + #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords +#else + #define __Pyx_METH_FASTCALL METH_VARARGS + #define __Pyx_PyCFunction_FastCall PyCFunction + #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords +#endif +#if CYTHON_VECTORCALL + #define __pyx_vectorcallfunc vectorcallfunc + #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET PY_VECTORCALL_ARGUMENTS_OFFSET + #define __Pyx_PyVectorcall_NARGS(n) PyVectorcall_NARGS((size_t)(n)) +#else + #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET 0 + #define __Pyx_PyVectorcall_NARGS(n) ((Py_ssize_t)(n)) +#endif +#if PY_VERSION_HEX >= 0x030900B1 +#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_CheckExact(func) +#else +#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_Check(func) +#endif +#define __Pyx_CyOrPyCFunction_Check(func) PyCFunction_Check(func) +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func) (((PyCFunctionObject*)(func))->m_ml->ml_meth) +#elif !CYTHON_COMPILING_IN_LIMITED_API +#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func) PyCFunction_GET_FUNCTION(func) +#endif +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_CyOrPyCFunction_GET_FLAGS(func) (((PyCFunctionObject*)(func))->m_ml->ml_flags) +static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) { + return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self; +} +#endif +static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) { +#if CYTHON_COMPILING_IN_LIMITED_API + return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc; +#else + return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc; +#endif +} +#define __Pyx_IsSameCFunction(func, cfunc) __Pyx__IsSameCFunction(func, cfunc) +#if PY_VERSION_HEX < 0x03090000 || (CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000) + #define __Pyx_PyType_FromModuleAndSpec(m, s, b) ((void)m, PyType_FromSpecWithBases(s, b)) + typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *); +#else + #define __Pyx_PyType_FromModuleAndSpec(m, s, b) PyType_FromModuleAndSpec(m, s, b) + #define __Pyx_PyCMethod PyCMethod +#endif +#ifndef METH_METHOD + #define METH_METHOD 0x200 +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc) + #define PyObject_Malloc(s) PyMem_Malloc(s) + #define PyObject_Free(p) PyMem_Free(p) + #define PyObject_Realloc(p) PyMem_Realloc(p) +#endif +#if CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) +#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000 + #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno)) +#elif CYTHON_COMPILING_IN_GRAAL + #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno)) +#else + #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno) +#endif +#if CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_PyThreadState_Current PyThreadState_Get() +#elif !CYTHON_FAST_THREAD_STATE + #define __Pyx_PyThreadState_Current PyThreadState_GET() +#elif PY_VERSION_HEX >= 0x030d00A1 + #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked() +#else + #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet() +#endif +#if CYTHON_USE_MODULE_STATE +static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op) +{ + void *result; + result = PyModule_GetState(op); + if (!result) + Py_FatalError("Couldn't find the module state"); + return result; +} +#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o) +#else +#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global) +#endif +#define __Pyx_PyObject_GetSlot(obj, name, func_ctype) __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype) +#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype) +#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype) +#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype) +#if CYTHON_USE_TYPE_SLOTS + #define __Pyx_PyType_GetSlot(type, name, func_ctype) ((type)->name) + #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype) + #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL) + #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) +#else + #define __Pyx_PyType_GetSlot(type, name, func_ctype) ((func_ctype) PyType_GetSlot((type), Py_##name)) + #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\ + ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\ + (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\ + __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL) + #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype) + #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype) +#endif +#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized) +#define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n)) +#else +#define __Pyx_PyDict_NewPresized(n) PyDict_New() +#endif +#define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) +#define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) +#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS +#define __Pyx_PyDict_GetItemStrWithError(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash) +static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) { + PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name); + if (res == NULL) PyErr_Clear(); + return res; +} +#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000 +#define __Pyx_PyDict_GetItemStrWithError PyDict_GetItemWithError +#define __Pyx_PyDict_GetItemStr PyDict_GetItem +#else +static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) { +#if CYTHON_COMPILING_IN_PYPY + return PyDict_GetItem(dict, name); +#else + PyDictEntry *ep; + PyDictObject *mp = (PyDictObject*) dict; + long hash = ((PyStringObject *) name)->ob_shash; + assert(hash != -1); + ep = (mp->ma_lookup)(mp, name, hash); + if (ep == NULL) { + return NULL; + } + return ep->me_value; +#endif +} +#define __Pyx_PyDict_GetItemStr PyDict_GetItem +#endif +#if CYTHON_USE_TYPE_SLOTS + #define __Pyx_PyType_GetFlags(tp) (((PyTypeObject *)tp)->tp_flags) + #define __Pyx_PyType_HasFeature(type, feature) ((__Pyx_PyType_GetFlags(type) & (feature)) != 0) +#else + #define __Pyx_PyType_GetFlags(tp) (PyType_GetFlags((PyTypeObject *)tp)) + #define __Pyx_PyType_HasFeature(type, feature) PyType_HasFeature(type, feature) +#endif +#define __Pyx_PyObject_GetIterNextFunc(iterator) __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc) +#if CYTHON_USE_TYPE_SPECS +#define __Pyx_PyHeapTypeObject_GC_Del(obj) {\ + PyTypeObject *type = Py_TYPE((PyObject*)obj);\ + assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\ + PyObject_GC_Del(obj);\ + Py_DECREF(type);\ +} +#else +#define __Pyx_PyHeapTypeObject_GC_Del(obj) PyObject_GC_Del(obj) +#endif +#if CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_PyUnicode_READY(op) (0) + #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((void)u, 1114111U) + #define __Pyx_PyUnicode_KIND(u) ((void)u, (0)) + #define __Pyx_PyUnicode_DATA(u) ((void*)u) + #define __Pyx_PyUnicode_READ(k, d, i) ((void)k, PyUnicode_ReadChar((PyObject*)(d), i)) + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GetLength(u)) +#else + #if PY_VERSION_HEX >= 0x030C0000 + #define __Pyx_PyUnicode_READY(op) (0) + #else + #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\ + 0 : _PyUnicode_Ready((PyObject *)(op))) + #endif + #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u) + #define __Pyx_PyUnicode_KIND(u) ((int)PyUnicode_KIND(u)) + #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) + #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) + #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, (Py_UCS4) ch) + #if PY_VERSION_HEX >= 0x030C0000 + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_LENGTH(u)) + #else + #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000 + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length)) + #else + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u))) + #endif + #endif +#endif +#if CYTHON_COMPILING_IN_PYPY + #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) +#else + #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\ + PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) +#endif +#if CYTHON_COMPILING_IN_PYPY + #if !defined(PyUnicode_DecodeUnicodeEscape) + #define PyUnicode_DecodeUnicodeEscape(s, size, errors) PyUnicode_Decode(s, size, "unicode_escape", errors) + #endif + #if !defined(PyUnicode_Contains) + #define PyUnicode_Contains(u, s) PySequence_Contains(u, s) + #endif + #if !defined(PyByteArray_Check) + #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type) + #endif + #if !defined(PyObject_Format) + #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt) + #endif +#endif +#define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000 + #define __Pyx_PySequence_ListKeepNew(obj)\ + (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj)) +#elif CYTHON_COMPILING_IN_CPYTHON + #define __Pyx_PySequence_ListKeepNew(obj)\ + (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj)) +#else + #define __Pyx_PySequence_ListKeepNew(obj) PySequence_List(obj) +#endif +#ifndef PySet_CheckExact + #define PySet_CheckExact(obj) __Pyx_IS_TYPE(obj, &PySet_Type) +#endif +#if PY_VERSION_HEX >= 0x030900A4 + #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt) + #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size) +#else + #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt) + #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size) +#endif +enum __Pyx_ReferenceSharing { + __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check + __Pyx_ReferenceSharing_OwnStrongReference, + __Pyx_ReferenceSharing_FunctionArgument, + __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar +}; +#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000 +#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\ + (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\ + (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\ + (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0))) +#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API +#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1) +#else +#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0) +#endif +#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 + #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i) +#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #if CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL)) + #else + #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i) + #endif +#elif CYTHON_COMPILING_IN_LIMITED_API || !(CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE) + #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i)) +#else + #define __Pyx_PyList_GetItemRef(o, i) (likely(__Pyx_is_valid_index(i, PyList_GET_SIZE(o))) ?\ + __Pyx_NewRef(PyList_GET_ITEM(o, i)) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL)) +#endif +#if CYTHON_AVOID_BORROWED_REFS || CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) ((void)(unsafe_shared),\ + __Pyx_PyList_GetItemRef(o, i)) +#elif CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + #if CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\ + __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\ + __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i)) + #else + #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\ + __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\ + __Pyx_XNewRef(PyList_GetItem(o, i)) : __Pyx_PyList_GetItemRef(o, i)) + #endif +#elif CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) ((void)(unsafe_shared),\ + __Pyx_NewRef(PyList_GET_ITEM(o, i))) +#else + #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) ((void)(unsafe_shared),\ + __Pyx_XNewRef(PyList_GetItem(o, i))) +#endif +#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 +#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result) +#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS +static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) { + *result = PyObject_GetItem(dict, key); + if (*result == NULL) { + if (PyErr_ExceptionMatches(PyExc_KeyError)) { + PyErr_Clear(); + return 0; + } + return -1; + } + return 1; +} +#else +static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) { + *result = PyDict_GetItemWithError(dict, key); + if (*result == NULL) { + return PyErr_Occurred() ? -1 : 0; + } + Py_INCREF(*result); + return 1; +} +#endif +#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST + #define __Pyx_VISIT_CONST(obj) Py_VISIT(obj) +#else + #define __Pyx_VISIT_CONST(obj) +#endif +#if CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i) + #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq) + #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0)) + #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i) + #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0)) + #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i) +#else + #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i) + #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq) + #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v) + #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i) + #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v) + #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i) +#endif +#if CYTHON_ASSUME_SAFE_SIZE + #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o) + #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o) + #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o) + #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o) + #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o) + #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o) +#else + #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o) + #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o) + #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o) + #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o) + #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o) + #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GetLength(o) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString) + #define PyUnicode_InternFromString(s) PyUnicode_FromString(s) +#endif +#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t +#define __Pyx_PyLong_AsHash_t __Pyx_PyIndex_AsSsize_t +#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000 + #define __Pyx_PySendResult PySendResult +#else + typedef enum { + PYGEN_RETURN = 0, + PYGEN_ERROR = -1, + PYGEN_NEXT = 1, + } __Pyx_PySendResult; +#endif +#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3 + typedef __Pyx_PySendResult (*__Pyx_pyiter_sendfunc)(PyObject *iter, PyObject *value, PyObject **result); +#else + #define __Pyx_pyiter_sendfunc sendfunc +#endif +#if !CYTHON_USE_AM_SEND +#define __PYX_HAS_PY_AM_SEND 0 +#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000 +#define __PYX_HAS_PY_AM_SEND 1 +#else +#define __PYX_HAS_PY_AM_SEND 2 // our own backported implementation +#endif +#if __PYX_HAS_PY_AM_SEND < 2 + #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods +#else + typedef struct { + unaryfunc am_await; + unaryfunc am_aiter; + unaryfunc am_anext; + __Pyx_pyiter_sendfunc am_send; + } __Pyx_PyAsyncMethodsStruct; + #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s)) +#endif +#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0 + #define __Pyx_TPFLAGS_HAVE_AM_SEND (1UL << 21) +#else + #define __Pyx_TPFLAGS_HAVE_AM_SEND (0) +#endif +#if PY_VERSION_HEX >= 0x03090000 +#define __Pyx_PyInterpreterState_Get() PyInterpreterState_Get() +#else +#define __Pyx_PyInterpreterState_Get() PyThreadState_Get()->interp +#endif +#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000 +#ifdef __cplusplus +extern "C" +#endif +PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize); +#endif +#if CYTHON_COMPILING_IN_LIMITED_API +static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) { + int value; + PyObject *py_value = PyObject_GetAttrString(inspect, name); + if (!py_value) return 0; + value = (int) PyLong_AsLong(py_value); + Py_DECREF(py_value); + *write_to = value; + return value != -1 || !PyErr_Occurred(); +} +static int __Pyx_init_co_variables(void) { + PyObject *inspect; + int result; + inspect = PyImport_ImportModule("inspect"); + result = +#if !defined(CO_OPTIMIZED) + __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) && +#endif +#if !defined(CO_NEWLOCALS) + __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) && +#endif +#if !defined(CO_VARARGS) + __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) && +#endif +#if !defined(CO_VARKEYWORDS) + __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) && +#endif +#if !defined(CO_ASYNC_GENERATOR) + __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) && +#endif +#if !defined(CO_GENERATOR) + __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) && +#endif +#if !defined(CO_COROUTINE) + __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) && +#endif + 1; + Py_DECREF(inspect); + return result ? 0 : -1; +} +#else +static int __Pyx_init_co_variables(void) { + return 0; // It's a limited API-only feature +} +#endif + +/* MathInitCode */ +#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS) + #ifndef _USE_MATH_DEFINES + #define _USE_MATH_DEFINES + #endif +#endif +#include +#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL) +#define __Pyx_truncl trunc +#else +#define __Pyx_truncl truncl +#endif + +#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME +#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0 +#endif +#ifndef CYTHON_CLINE_IN_TRACEBACK +#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME +#endif +#if CYTHON_CLINE_IN_TRACEBACK +#define __PYX_MARK_ERR_POS(f_index, lineno) { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; __pyx_clineno = __LINE__; (void) __pyx_clineno; } +#else +#define __PYX_MARK_ERR_POS(f_index, lineno) { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; (void) __pyx_clineno; } +#endif +#define __PYX_ERR(f_index, lineno, Ln_error) \ + { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; } + +#ifdef CYTHON_EXTERN_C + #undef __PYX_EXTERN_C + #define __PYX_EXTERN_C CYTHON_EXTERN_C +#elif defined(__PYX_EXTERN_C) + #ifdef _MSC_VER + #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.") + #else + #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead. + #endif +#else + #ifdef __cplusplus + #define __PYX_EXTERN_C extern "C" + #else + #define __PYX_EXTERN_C extern + #endif +#endif + +#define __PYX_HAVE__orbitize___kepler3 +#define __PYX_HAVE_API__orbitize___kepler3 +/* Early includes */ +#include +#include + + /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */ + +#include "numpy/arrayobject.h" +#include "numpy/ndarrayobject.h" +#include "numpy/ndarraytypes.h" +#include "numpy/arrayscalars.h" +#include "numpy/ufuncobject.h" +#include "kepler3.c" +#ifdef _OPENMP +#include +#endif /* _OPENMP */ + +#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS) +#define CYTHON_WITHOUT_ASSERTIONS +#endif + +#ifdef CYTHON_FREETHREADING_COMPATIBLE +#if CYTHON_FREETHREADING_COMPATIBLE +#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_NOT_USED +#else +#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED +#endif +#else +#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED +#endif +#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 +#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0 +#define __PYX_DEFAULT_STRING_ENCODING "" +#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString +#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize +#define __Pyx_uchar_cast(c) ((unsigned char)c) +#define __Pyx_long_cast(x) ((long)x) +#define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\ + (sizeof(type) < sizeof(Py_ssize_t)) ||\ + (sizeof(type) > sizeof(Py_ssize_t) &&\ + likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX) &&\ + (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\ + v == (type)PY_SSIZE_T_MIN))) ||\ + (sizeof(type) == sizeof(Py_ssize_t) &&\ + (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX))) ) +static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) { + return (size_t) i < (size_t) limit; +} +#if defined (__cplusplus) && __cplusplus >= 201103L + #include + #define __Pyx_sst_abs(value) std::abs(value) +#elif SIZEOF_INT >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) abs(value) +#elif SIZEOF_LONG >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) labs(value) +#elif defined (_MSC_VER) + #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value)) +#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define __Pyx_sst_abs(value) llabs(value) +#elif defined (__GNUC__) + #define __Pyx_sst_abs(value) __builtin_llabs(value) +#else + #define __Pyx_sst_abs(value) ((value<0) ? -value : value) +#endif +static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s); +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*); +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length); +static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*); +#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) +#define __Pyx_PyBytes_FromString PyBytes_FromString +#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*); +#if CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s)) + #define __Pyx_PyByteArray_AsString(s) PyByteArray_AS_STRING(s) +#else + #define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AsString(s)) + #define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AsString(s)) + #define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AsString(s)) + #define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AsString(s)) + #define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AsString(s)) + #define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AsString(s)) + #define __Pyx_PyByteArray_AsString(s) PyByteArray_AsString(s) +#endif +#define __Pyx_PyObject_AsWritableString(s) ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableSString(s) ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s) +#define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s) +#define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s) +#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s) +#define __Pyx_PyUnicode_FromOrdinal(o) PyUnicode_FromOrdinal((int)o) +#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode +static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) { +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_NewRef) + return Py_NewRef(obj); +#else + Py_INCREF(obj); + return obj; +#endif +} +static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) { +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_XNewRef) + return Py_XNewRef(obj); +#else + Py_XINCREF(obj); + return obj; +#endif +} +static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b); +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b); +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*); +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*); +static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x); +#define __Pyx_PySequence_Tuple(obj)\ + (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj)) +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*); +static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t); +static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*); +#if CYTHON_ASSUME_SAFE_MACROS +#define __Pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) +#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AS_DOUBLE(x) +#else +#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) +#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x) +#endif +#define __Pyx_PyFloat_AsFloat(x) ((float) __Pyx_PyFloat_AsDouble(x)) +#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x)) +#if CYTHON_USE_PYLONG_INTERNALS + #if PY_VERSION_HEX >= 0x030C00A7 + #ifndef _PyLong_SIGN_MASK + #define _PyLong_SIGN_MASK 3 + #endif + #ifndef _PyLong_NON_SIZE_BITS + #define _PyLong_NON_SIZE_BITS 3 + #endif + #define __Pyx_PyLong_Sign(x) (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK) + #define __Pyx_PyLong_IsNeg(x) ((__Pyx_PyLong_Sign(x) & 2) != 0) + #define __Pyx_PyLong_IsNonNeg(x) (!__Pyx_PyLong_IsNeg(x)) + #define __Pyx_PyLong_IsZero(x) (__Pyx_PyLong_Sign(x) & 1) + #define __Pyx_PyLong_IsPos(x) (__Pyx_PyLong_Sign(x) == 0) + #define __Pyx_PyLong_CompactValueUnsigned(x) (__Pyx_PyLong_Digits(x)[0]) + #define __Pyx_PyLong_DigitCount(x) ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS)) + #define __Pyx_PyLong_SignedDigitCount(x)\ + ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x)) + #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue) + #define __Pyx_PyLong_IsCompact(x) PyUnstable_Long_IsCompact((PyLongObject*) x) + #define __Pyx_PyLong_CompactValue(x) PyUnstable_Long_CompactValue((PyLongObject*) x) + #else + #define __Pyx_PyLong_IsCompact(x) (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS)) + #define __Pyx_PyLong_CompactValue(x) ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0]) + #endif + typedef Py_ssize_t __Pyx_compact_pylong; + typedef size_t __Pyx_compact_upylong; + #else + #define __Pyx_PyLong_IsNeg(x) (Py_SIZE(x) < 0) + #define __Pyx_PyLong_IsNonNeg(x) (Py_SIZE(x) >= 0) + #define __Pyx_PyLong_IsZero(x) (Py_SIZE(x) == 0) + #define __Pyx_PyLong_IsPos(x) (Py_SIZE(x) > 0) + #define __Pyx_PyLong_CompactValueUnsigned(x) ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0]) + #define __Pyx_PyLong_DigitCount(x) __Pyx_sst_abs(Py_SIZE(x)) + #define __Pyx_PyLong_SignedDigitCount(x) Py_SIZE(x) + #define __Pyx_PyLong_IsCompact(x) (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1) + #define __Pyx_PyLong_CompactValue(x)\ + ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0])) + typedef sdigit __Pyx_compact_pylong; + typedef digit __Pyx_compact_upylong; + #endif + #if PY_VERSION_HEX >= 0x030C00A5 + #define __Pyx_PyLong_Digits(x) (((PyLongObject*)x)->long_value.ob_digit) + #else + #define __Pyx_PyLong_Digits(x) (((PyLongObject*)x)->ob_digit) + #endif +#endif +#if __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 + #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) +#elif __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeASCII(c_str, size, NULL) +#else + #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) +#endif + + +/* Test for GCC > 2.95 */ +#if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))) + #define likely(x) __builtin_expect(!!(x), 1) + #define unlikely(x) __builtin_expect(!!(x), 0) +#else /* !__GNUC__ or GCC < 2.95 */ + #define likely(x) (x) + #define unlikely(x) (x) +#endif /* __GNUC__ */ +/* PretendToInitialize */ +#ifdef __cplusplus +#if __cplusplus > 201103L +#include +#endif +template +static void __Pyx_pretend_to_initialize(T* ptr) { +#if __cplusplus > 201103L + if ((std::is_trivially_default_constructible::value)) +#endif + *ptr = T(); + (void)ptr; +} +#else +static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; } +#endif + + +#if !CYTHON_USE_MODULE_STATE +static PyObject *__pyx_m = NULL; +#endif +static int __pyx_lineno; +static int __pyx_clineno = 0; +static const char * const __pyx_cfilenm = __FILE__; +static const char *__pyx_filename; + +/* Header.proto */ +#if !defined(CYTHON_CCOMPLEX) + #if defined(__cplusplus) + #define CYTHON_CCOMPLEX 1 + #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER)) + #define CYTHON_CCOMPLEX 1 + #else + #define CYTHON_CCOMPLEX 0 + #endif +#endif +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #include + #else + #include + #endif +#endif +#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__) + #undef _Complex_I + #define _Complex_I 1.0fj +#endif + +/* #### Code section: filename_table ### */ + +static const char* const __pyx_f[] = { + "orbitize/_kepler3.pyx", + "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd", + "cpython/type.pxd", +}; +/* #### Code section: utility_code_proto_before_types ### */ +/* Atomics.proto (used by UnpackUnboundCMethod) */ +#include +#ifndef CYTHON_ATOMICS + #define CYTHON_ATOMICS 1 +#endif +#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS +#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING +#define __pyx_atomic_int_type int +#define __pyx_nonatomic_int_type int +#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\ + (__STDC_VERSION__ >= 201112L) &&\ + !defined(__STDC_NO_ATOMICS__)) + #include +#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\ + (__cplusplus >= 201103L) ||\ + (defined(_MSC_VER) && _MSC_VER >= 1700))) + #include +#endif +#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\ + (__STDC_VERSION__ >= 201112L) &&\ + !defined(__STDC_NO_ATOMICS__) &&\ + ATOMIC_INT_LOCK_FREE == 2) + #undef __pyx_atomic_int_type + #define __pyx_atomic_int_type atomic_int + #define __pyx_atomic_ptr_type atomic_uintptr_t + #define __pyx_nonatomic_ptr_type uintptr_t + #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed) + #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel) + #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel) + #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg) + #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired) + #define __pyx_atomic_load(value) atomic_load(value) + #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value) + #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed) + #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire) + #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value) + #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired) + #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER) + #pragma message ("Using standard C atomics") + #elif defined(__PYX_DEBUG_ATOMICS) + #warning "Using standard C atomics" + #endif +#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\ + (__cplusplus >= 201103L) ||\ +\ + (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\ + ATOMIC_INT_LOCK_FREE == 2) + #undef __pyx_atomic_int_type + #define __pyx_atomic_int_type std::atomic_int + #define __pyx_atomic_ptr_type std::atomic_uintptr_t + #define __pyx_nonatomic_ptr_type uintptr_t + #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed) + #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel) + #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel) + #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg) + #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired) + #define __pyx_atomic_load(value) std::atomic_load(value) + #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value) + #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed) + #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire) + #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value) + #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired) + #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER) + #pragma message ("Using standard C++ atomics") + #elif defined(__PYX_DEBUG_ATOMICS) + #warning "Using standard C++ atomics" + #endif +#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\ + (__GNUC_MINOR__ > 1 ||\ + (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2)))) + #define __pyx_atomic_ptr_type void* + #define __pyx_nonatomic_ptr_type void* + #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1) + #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1) + #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1) + #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg) + static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) { + __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired); + int result = old == *expected; + *expected = old; + return result; + } + #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0) + #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value) + #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0) + #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0) + #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value) + static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) { + __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired); + int result = old == *expected; + *expected = old; + return result; + } + #ifdef __PYX_DEBUG_ATOMICS + #warning "Using GNU atomics" + #endif +#elif CYTHON_ATOMICS && defined(_MSC_VER) + #include + #undef __pyx_atomic_int_type + #define __pyx_atomic_int_type long + #define __pyx_atomic_ptr_type void* + #undef __pyx_nonatomic_int_type + #define __pyx_nonatomic_int_type long + #define __pyx_nonatomic_ptr_type void* + #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer) + #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1) + #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1) + #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1) + #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg) + static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) { + __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected); + int result = old == *expected; + *expected = old; + return result; + } + #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0) + #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value) + #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value + #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0) + #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value) + static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) { + __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected); + int result = old == *expected; + *expected = old; + return result; + } + #ifdef __PYX_DEBUG_ATOMICS + #pragma message ("Using MSVC atomics") + #endif +#else + #undef CYTHON_ATOMICS + #define CYTHON_ATOMICS 0 + #ifdef __PYX_DEBUG_ATOMICS + #warning "Not using atomics" + #endif +#endif + +/* CriticalSectionsDefinition.proto (used by CriticalSections) */ +#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING +#define __Pyx_PyCriticalSection void* +#define __Pyx_PyCriticalSection2 void* +#define __Pyx_PyCriticalSection_End(cs) +#define __Pyx_PyCriticalSection2_End(cs) +#else +#define __Pyx_PyCriticalSection PyCriticalSection +#define __Pyx_PyCriticalSection2 PyCriticalSection2 +#define __Pyx_PyCriticalSection_End PyCriticalSection_End +#define __Pyx_PyCriticalSection2_End PyCriticalSection2_End +#endif + +/* CriticalSections.proto (used by ParseKeywordsImpl) */ +#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING +#define __Pyx_PyCriticalSection_Begin(cs, arg) (void)(cs) +#define __Pyx_PyCriticalSection2_Begin(cs, arg1, arg2) (void)(cs) +#else +#define __Pyx_PyCriticalSection_Begin PyCriticalSection_Begin +#define __Pyx_PyCriticalSection2_Begin PyCriticalSection2_Begin +#endif +#if PY_VERSION_HEX < 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API +#define __Pyx_BEGIN_CRITICAL_SECTION(o) { +#define __Pyx_END_CRITICAL_SECTION() } +#else +#define __Pyx_BEGIN_CRITICAL_SECTION Py_BEGIN_CRITICAL_SECTION +#define __Pyx_END_CRITICAL_SECTION Py_END_CRITICAL_SECTION +#endif + +/* BufferFormatStructs.proto (used by BufferFormatCheck) */ +struct __Pyx_StructField_; +#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0) +typedef struct { + const char* name; + const struct __Pyx_StructField_* fields; + size_t size; + size_t arraysize[8]; + int ndim; + char typegroup; + char is_unsigned; + int flags; +} __Pyx_TypeInfo; +typedef struct __Pyx_StructField_ { + const __Pyx_TypeInfo* type; + const char* name; + size_t offset; +} __Pyx_StructField; +typedef struct { + const __Pyx_StructField* field; + size_t parent_offset; +} __Pyx_BufFmt_StackElem; +typedef struct { + __Pyx_StructField root; + __Pyx_BufFmt_StackElem* head; + size_t fmt_offset; + size_t new_count, enc_count; + size_t struct_alignment; + int is_complex; + char enc_type; + char new_packmode; + char enc_packmode; + char is_valid_array; +} __Pyx_BufFmt_Context; + +/* IncludeStructmemberH.proto (used by FixUpExtensionType) */ +#include + +/* #### Code section: numeric_typedefs ### */ + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":787 + * # in Cython to enable them only on the right systems. + * + * ctypedef npy_int8 int8_t # <<<<<<<<<<<<<< + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t +*/ +typedef npy_int8 __pyx_t_5numpy_int8_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":788 + * + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t # <<<<<<<<<<<<<< + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t +*/ +typedef npy_int16 __pyx_t_5numpy_int16_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":789 + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t # <<<<<<<<<<<<<< + * ctypedef npy_int64 int64_t + * #ctypedef npy_int96 int96_t +*/ +typedef npy_int32 __pyx_t_5numpy_int32_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":790 + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t # <<<<<<<<<<<<<< + * #ctypedef npy_int96 int96_t + * #ctypedef npy_int128 int128_t +*/ +typedef npy_int64 __pyx_t_5numpy_int64_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":794 + * #ctypedef npy_int128 int128_t + * + * ctypedef npy_uint8 uint8_t # <<<<<<<<<<<<<< + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t +*/ +typedef npy_uint8 __pyx_t_5numpy_uint8_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":795 + * + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t # <<<<<<<<<<<<<< + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t +*/ +typedef npy_uint16 __pyx_t_5numpy_uint16_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":796 + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t # <<<<<<<<<<<<<< + * ctypedef npy_uint64 uint64_t + * #ctypedef npy_uint96 uint96_t +*/ +typedef npy_uint32 __pyx_t_5numpy_uint32_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":797 + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t # <<<<<<<<<<<<<< + * #ctypedef npy_uint96 uint96_t + * #ctypedef npy_uint128 uint128_t +*/ +typedef npy_uint64 __pyx_t_5numpy_uint64_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":801 + * #ctypedef npy_uint128 uint128_t + * + * ctypedef npy_float32 float32_t # <<<<<<<<<<<<<< + * ctypedef npy_float64 float64_t + * #ctypedef npy_float80 float80_t +*/ +typedef npy_float32 __pyx_t_5numpy_float32_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":802 + * + * ctypedef npy_float32 float32_t + * ctypedef npy_float64 float64_t # <<<<<<<<<<<<<< + * #ctypedef npy_float80 float80_t + * #ctypedef npy_float128 float128_t +*/ +typedef npy_float64 __pyx_t_5numpy_float64_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":809 + * ctypedef double complex complex128_t + * + * ctypedef npy_longlong longlong_t # <<<<<<<<<<<<<< + * ctypedef npy_ulonglong ulonglong_t + * +*/ +typedef npy_longlong __pyx_t_5numpy_longlong_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":810 + * + * ctypedef npy_longlong longlong_t + * ctypedef npy_ulonglong ulonglong_t # <<<<<<<<<<<<<< + * + * ctypedef npy_intp intp_t +*/ +typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":812 + * ctypedef npy_ulonglong ulonglong_t + * + * ctypedef npy_intp intp_t # <<<<<<<<<<<<<< + * ctypedef npy_uintp uintp_t + * +*/ +typedef npy_intp __pyx_t_5numpy_intp_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":813 + * + * ctypedef npy_intp intp_t + * ctypedef npy_uintp uintp_t # <<<<<<<<<<<<<< + * + * ctypedef npy_double float_t +*/ +typedef npy_uintp __pyx_t_5numpy_uintp_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":815 + * ctypedef npy_uintp uintp_t + * + * ctypedef npy_double float_t # <<<<<<<<<<<<<< + * ctypedef npy_double double_t + * ctypedef npy_longdouble longdouble_t +*/ +typedef npy_double __pyx_t_5numpy_float_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":816 + * + * ctypedef npy_double float_t + * ctypedef npy_double double_t # <<<<<<<<<<<<<< + * ctypedef npy_longdouble longdouble_t + * +*/ +typedef npy_double __pyx_t_5numpy_double_t; + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":817 + * ctypedef npy_double float_t + * ctypedef npy_double double_t + * ctypedef npy_longdouble longdouble_t # <<<<<<<<<<<<<< + * + * ctypedef float complex cfloat_t +*/ +typedef npy_longdouble __pyx_t_5numpy_longdouble_t; + +/* "orbitize/_kepler3.pyx":6 + * np.import_array() + * DTYPE = np.float64 + * ctypedef np.float64_t DTYPE_t # <<<<<<<<<<<<<< + * + * cdef extern from "kepler3.c": +*/ +typedef __pyx_t_5numpy_float64_t __pyx_t_8orbitize_8_kepler3_DTYPE_t; +/* #### Code section: complex_type_declarations ### */ +/* Declarations.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + typedef ::std::complex< float > __pyx_t_float_complex; + #else + typedef float _Complex __pyx_t_float_complex; + #endif +#else + typedef struct { float real, imag; } __pyx_t_float_complex; +#endif +static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float); + +/* Declarations.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + typedef ::std::complex< double > __pyx_t_double_complex; + #else + typedef double _Complex __pyx_t_double_complex; + #endif +#else + typedef struct { double real, imag; } __pyx_t_double_complex; +#endif +static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double); + +/* Declarations.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + typedef ::std::complex< long double > __pyx_t_long_double_complex; + #else + typedef long double _Complex __pyx_t_long_double_complex; + #endif +#else + typedef struct { long double real, imag; } __pyx_t_long_double_complex; +#endif +static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double); + +/* #### Code section: type_declarations ### */ + +/*--- Type declarations ---*/ +/* #### Code section: utility_code_proto ### */ + +/* --- Runtime support code (head) --- */ +/* Refnanny.proto */ +#ifndef CYTHON_REFNANNY + #define CYTHON_REFNANNY 0 +#endif +#if CYTHON_REFNANNY + typedef struct { + void (*INCREF)(void*, PyObject*, Py_ssize_t); + void (*DECREF)(void*, PyObject*, Py_ssize_t); + void (*GOTREF)(void*, PyObject*, Py_ssize_t); + void (*GIVEREF)(void*, PyObject*, Py_ssize_t); + void* (*SetupContext)(const char*, Py_ssize_t, const char*); 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__Pyx_DECREF(tmp);\ + } while (0) +#define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0) +#define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0) + +/* GetTopmostException.proto (used by SaveResetException) */ +#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE +static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate); +#endif + +/* PyThreadStateGet.proto (used by SaveResetException) */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyThreadState_declare PyThreadState *__pyx_tstate; +#define __Pyx_PyThreadState_assign __pyx_tstate = __Pyx_PyThreadState_Current; +#if PY_VERSION_HEX >= 0x030C00A6 +#define __Pyx_PyErr_Occurred() (__pyx_tstate->current_exception != NULL) +#define __Pyx_PyErr_CurrentExceptionType() (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL) +#else +#define __Pyx_PyErr_Occurred() (__pyx_tstate->curexc_type != NULL) +#define __Pyx_PyErr_CurrentExceptionType() (__pyx_tstate->curexc_type) +#endif +#else +#define __Pyx_PyThreadState_declare +#define __Pyx_PyThreadState_assign +#define __Pyx_PyErr_Occurred() (PyErr_Occurred() != NULL) +#define __Pyx_PyErr_CurrentExceptionType() PyErr_Occurred() +#endif + +/* SaveResetException.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_ExceptionSave(type, value, tb) __Pyx__ExceptionSave(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#define __Pyx_ExceptionReset(type, value, tb) __Pyx__ExceptionReset(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb); +#else +#define __Pyx_ExceptionSave(type, value, tb) PyErr_GetExcInfo(type, value, tb) +#define __Pyx_ExceptionReset(type, value, tb) PyErr_SetExcInfo(type, value, tb) +#endif + +/* PyErrExceptionMatches.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err) +static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err); +#else +#define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err) +#endif + +/* GetException.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb) +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb); +#endif + +/* PyImportError_Check.proto */ +#define __Pyx_PyExc_ImportError_Check(obj) __Pyx_TypeCheck(obj, PyExc_ImportError) + +/* PyObjectCall.proto (used by PyObjectFastCall) */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw); +#else +#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw) +#endif + +/* PyObjectCallMethO.proto (used by PyObjectFastCall) */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg); +#endif + +/* PyObjectFastCall.proto */ +#define __Pyx_PyObject_FastCall(func, args, nargs) __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL) +static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs); + +/* PyErrFetchRestore.proto (used by RaiseException) */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL) +#define __Pyx_ErrRestoreWithState(type, value, tb) __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb) +#define __Pyx_ErrFetchWithState(type, value, tb) __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb) +#define __Pyx_ErrRestore(type, value, tb) __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb) +#define __Pyx_ErrFetch(type, value, tb) __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb); +static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6 +#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL)) +#else +#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) +#endif +#else +#define __Pyx_PyErr_Clear() PyErr_Clear() +#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) +#define __Pyx_ErrRestoreWithState(type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetchWithState(type, value, tb) PyErr_Fetch(type, value, tb) +#define __Pyx_ErrRestoreInState(tstate, type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetchInState(tstate, type, value, tb) PyErr_Fetch(type, value, tb) +#define __Pyx_ErrRestore(type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetch(type, value, tb) PyErr_Fetch(type, value, tb) +#endif + +/* RaiseException.export */ +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); + +/* TupleAndListFromArray.proto (used by fastcall) */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n); +#endif +#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_METH_FASTCALL +static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n); +#endif + +/* IncludeStringH.proto (used by BytesEquals) */ +#include + +/* BytesEquals.proto (used by UnicodeEquals) */ +static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals); + +/* UnicodeEquals.proto (used by fastcall) */ +static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals); + +/* fastcall.proto */ +#if CYTHON_AVOID_BORROWED_REFS + #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i) +#elif CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i)) +#else + #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(args, i)) +#endif +#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds) +#define __Pyx_KwValues_VARARGS(args, nargs) NULL +#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s) +#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw) +#if CYTHON_METH_FASTCALL + #define __Pyx_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i]) + #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds) + #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs)) + static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s); + #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API + CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues); + #else + #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw) + #endif +#else + #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS + #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS + #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS + #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS + #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS +#endif +#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop) +#if CYTHON_METH_FASTCALL +#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start) +#else +#define __Pyx_ArgsSlice_FASTCALL __Pyx_ArgsSlice_VARARGS +#endif + +/* py_dict_items.proto (used by OwnedDictNext) */ +static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d); + +/* CallCFunction.proto (used by CallUnboundCMethod0) */ +#define __Pyx_CallCFunction(cfunc, self, args)\ + ((PyCFunction)(void(*)(void))(cfunc)->func)(self, args) +#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\ + ((PyCFunctionWithKeywords)(void(*)(void))(cfunc)->func)(self, args, kwargs) +#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\ + ((__Pyx_PyCFunctionFast)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs) +#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\ + ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs, kwnames) + +/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */ +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg); + +/* PyObjectGetAttrStr.proto (used by UnpackUnboundCMethod) */ +#if CYTHON_USE_TYPE_SLOTS +static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name); +#else +#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n) +#endif + +/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */ +typedef struct { + PyObject *type; + PyObject **method_name; +#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS + __pyx_atomic_int_type initialized; +#endif + PyCFunction func; + PyObject *method; + int flag; +} __Pyx_CachedCFunction; +#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING +static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) { +#if !CYTHON_ATOMICS + return 1; +#else + __pyx_nonatomic_int_type expected = 0; + if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) { + return 0; + } + return expected; +#endif +} +static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) { +#if CYTHON_ATOMICS + __pyx_atomic_store(&cfunc->initialized, 2); +#endif +} +#else +#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2 +#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc) +#endif + +/* CallUnboundCMethod0.proto */ +CYTHON_UNUSED +static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self); +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self); +#else +#define __Pyx_CallUnboundCMethod0(cfunc, self) __Pyx__CallUnboundCMethod0(cfunc, self) +#endif + +/* py_dict_values.proto (used by OwnedDictNext) */ +static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d); + +/* OwnedDictNext.proto (used by ParseKeywordsImpl) */ +#if CYTHON_AVOID_BORROWED_REFS +static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue); +#else +CYTHON_INLINE +static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue); +#endif + +/* RaiseDoubleKeywords.proto (used by ParseKeywordsImpl) */ +static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); + +/* ParseKeywordsImpl.export */ +static int __Pyx_ParseKeywordsTuple( + PyObject *kwds, + PyObject * const *kwvalues, + PyObject ** const argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs +); +static int __Pyx_ParseKeywordDictToDict( + PyObject *kwds, + PyObject ** const argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + const char* function_name +); +static int __Pyx_ParseKeywordDict( + PyObject *kwds, + PyObject ** const argnames[], + PyObject *values[], + Py_ssize_t num_pos_args, + Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs +); + +/* CallUnboundCMethod2.proto */ +CYTHON_UNUSED +static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2); +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2); +#else +#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2) __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2) +#endif + +/* ParseKeywords.proto */ +static CYTHON_INLINE int __Pyx_ParseKeywords( + PyObject *kwds, PyObject *const *kwvalues, PyObject ** const argnames[], + PyObject *kwds2, PyObject *values[], + Py_ssize_t num_pos_args, Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs +); + +/* RaiseArgTupleInvalid.proto */ +static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact, + Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found); + +/* ArgTypeTestFunc.export */ +static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact); + +/* ArgTypeTest.proto */ +#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\ + ((likely(__Pyx_IS_TYPE(obj, type) | (none_allowed && (obj == Py_None)))) ? 1 :\ + __Pyx__ArgTypeTest(obj, type, name, exact)) + +/* IsLittleEndian.proto (used by BufferFormatCheck) */ +static CYTHON_INLINE int __Pyx_Is_Little_Endian(void); + +/* BufferFormatCheck.proto (used by BufferGetAndValidate) */ +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts); +static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, + __Pyx_BufFmt_StackElem* stack, + const __Pyx_TypeInfo* type); + +/* BufferGetAndValidate.proto */ +#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\ + ((obj == Py_None || obj == NULL) ?\ + (__Pyx_ZeroBuffer(buf), 0) :\ + __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)) +static int __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj, + const __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack); +static void __Pyx_ZeroBuffer(Py_buffer* buf); +static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info); +static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 }; +static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 }; + +/* PyObjectGetAttrStrNoError.proto (used by GetBuiltinName) */ +static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name); + +/* GetBuiltinName.proto (used by GetModuleGlobalName) */ +static PyObject *__Pyx_GetBuiltinName(PyObject *name); + +/* PyDictVersioning.proto (used by GetModuleGlobalName) */ +#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS +#define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1) +#define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\ + (version_var) = __PYX_GET_DICT_VERSION(dict);\ + (cache_var) = (value); +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\ + static PY_UINT64_T __pyx_dict_version = 0;\ + static PyObject *__pyx_dict_cached_value = NULL;\ + if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\ + (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\ + } else {\ + (VAR) = __pyx_dict_cached_value = (LOOKUP);\ + __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\ + }\ +} +static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj); +static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj); +static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version); +#else +#define __PYX_GET_DICT_VERSION(dict) (0) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var) +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP); +#endif + +/* GetModuleGlobalName.proto */ +#if CYTHON_USE_DICT_VERSIONS +#define __Pyx_GetModuleGlobalName(var, name) do {\ + static PY_UINT64_T __pyx_dict_version = 0;\ + static PyObject *__pyx_dict_cached_value = NULL;\ + (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\ + (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\ + __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ +} while(0) +#define __Pyx_GetModuleGlobalNameUncached(var, name) do {\ + PY_UINT64_T __pyx_dict_version;\ + PyObject *__pyx_dict_cached_value;\ + (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ +} while(0) +static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value); +#else +#define __Pyx_GetModuleGlobalName(var, name) (var) = __Pyx__GetModuleGlobalName(name) +#define __Pyx_GetModuleGlobalNameUncached(var, name) (var) = __Pyx__GetModuleGlobalName(name) +static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name); +#endif + +/* ExtTypeTest.proto */ +static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); + +/* PyObjectFastCallMethod.proto */ +#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000 +#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL) +#else +static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf); +#endif + +/* TypeImport.proto */ +#ifndef __PYX_HAVE_RT_ImportType_proto_3_2_9 +#define __PYX_HAVE_RT_ImportType_proto_3_2_9 +#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L +#include +#endif +#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || __cplusplus >= 201103L +#define __PYX_GET_STRUCT_ALIGNMENT_3_2_9(s) alignof(s) +#else +#define __PYX_GET_STRUCT_ALIGNMENT_3_2_9(s) sizeof(void*) +#endif +enum __Pyx_ImportType_CheckSize_3_2_9 { + __Pyx_ImportType_CheckSize_Error_3_2_9 = 0, + __Pyx_ImportType_CheckSize_Warn_3_2_9 = 1, + __Pyx_ImportType_CheckSize_Ignore_3_2_9 = 2 +}; +static PyTypeObject *__Pyx_ImportType_3_2_9(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_9 check_size); +#endif + +/* HasAttr.proto (used by ImportImpl) */ +#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 +#define __Pyx_HasAttr(o, n) PyObject_HasAttrWithError(o, n) +#else +static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *); +#endif + +/* ImportImpl.export */ +static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level); + +/* Import.proto */ +static CYTHON_INLINE PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level); + +/* dict_setdefault.proto (used by FetchCommonType) */ +static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value); + +/* LimitedApiGetTypeDict.proto (used by SetItemOnTypeDict) */ +#if CYTHON_COMPILING_IN_LIMITED_API +static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp); +#endif + +/* SetItemOnTypeDict.proto (used by FixUpExtensionType) */ +static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v); +#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v) + +/* FixUpExtensionType.proto (used by FetchCommonType) */ +static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type); + +/* AddModuleRef.proto (used by FetchSharedCythonModule) */ +#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING ) ||\ + __PYX_LIMITED_VERSION_HEX < 0x030d0000) + static PyObject *__Pyx_PyImport_AddModuleRef(const char *name); +#else + #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name) +#endif + +/* FetchSharedCythonModule.proto (used by FetchCommonType) */ +static PyObject *__Pyx_FetchSharedCythonABIModule(void); + +/* FetchCommonType.proto (used by CommonTypesMetaclass) */ +static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases); + +/* CommonTypesMetaclass.proto (used by CythonFunctionShared) */ +static int __pyx_CommonTypesMetaclass_init(PyObject *module); +#define __Pyx_CommonTypesMetaclass_USED + +/* CallTypeTraverse.proto (used by CythonFunctionShared) */ +#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000) +#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0 +#else +static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg); +#endif + +/* PyMethodNew.proto (used by CythonFunctionShared) */ +static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ); + +/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */ +#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL +static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw); +#endif + +/* CythonFunctionShared.proto (used by CythonFunction) */ +#define __Pyx_CyFunction_USED +#define __Pyx_CYFUNCTION_STATICMETHOD 0x01 +#define __Pyx_CYFUNCTION_CLASSMETHOD 0x02 +#define __Pyx_CYFUNCTION_CCLASS 0x04 +#define __Pyx_CYFUNCTION_COROUTINE 0x08 +#define __Pyx_CyFunction_GetClosure(f)\ + (((__pyx_CyFunctionObject *) (f))->func_closure) +#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_CyFunction_GetClassObj(f)\ + (((__pyx_CyFunctionObject *) (f))->func_classobj) +#else + #define __Pyx_CyFunction_GetClassObj(f)\ + ((PyObject*) ((PyCMethodObject *) (f))->mm_class) +#endif +#define __Pyx_CyFunction_SetClassObj(f, classobj)\ + __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj)) +#define __Pyx_CyFunction_Defaults(type, f)\ + ((type *)(((__pyx_CyFunctionObject *) (f))->defaults)) +#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\ + ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g) +typedef struct { +#if CYTHON_COMPILING_IN_LIMITED_API + PyObject_HEAD + PyObject *func; +#elif PY_VERSION_HEX < 0x030900B1 + PyCFunctionObject func; +#else + PyCMethodObject func; +#endif +#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL + __pyx_vectorcallfunc func_vectorcall; +#endif +#if CYTHON_COMPILING_IN_LIMITED_API + PyObject *func_weakreflist; +#endif +#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API + PyObject *func_dict; +#endif + PyObject *func_name; + PyObject *func_qualname; + PyObject *func_doc; + PyObject *func_globals; + PyObject *func_code; + PyObject *func_closure; +#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API + PyObject *func_classobj; +#endif + PyObject *defaults; + int flags; + PyObject *defaults_tuple; + PyObject *defaults_kwdict; + PyObject *(*defaults_getter)(PyObject *); + PyObject *func_annotations; + PyObject *func_is_coroutine; +} __pyx_CyFunctionObject; +#undef __Pyx_CyOrPyCFunction_Check +#define __Pyx_CyFunction_Check(obj) __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType) +#define __Pyx_CyOrPyCFunction_Check(obj) __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type) +#define __Pyx_CyFunction_CheckExact(obj) __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType) +static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)); +#undef __Pyx_IsSameCFunction +#define __Pyx_IsSameCFunction(func, cfunc) __Pyx__IsSameCyOrCFunction(func, cfunc) +static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml, + int flags, PyObject* qualname, + PyObject *closure, + PyObject *module, PyObject *globals, + PyObject* code); +static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj); +static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, + PyTypeObject *defaults_type); +static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m, + PyObject *tuple); +static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m, + PyObject *dict); +static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m, + PyObject *dict); +static int __pyx_CyFunction_init(PyObject *module); +#if CYTHON_METH_FASTCALL +static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames); +static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames); +static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames); +static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames); +#if CYTHON_COMPILING_IN_LIMITED_API +#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall) +#else +#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall) +#endif +#endif + +/* CythonFunction.proto */ +static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, + int flags, PyObject* qualname, + PyObject *closure, + PyObject *module, PyObject *globals, + PyObject* code); + +/* CLineInTraceback.proto (used by AddTraceback) */ +#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME +static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line); +#else +#define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0) +#endif + +/* CodeObjectCache.proto (used by AddTraceback) */ +#if CYTHON_COMPILING_IN_LIMITED_API +typedef PyObject __Pyx_CachedCodeObjectType; +#else +typedef PyCodeObject __Pyx_CachedCodeObjectType; +#endif +typedef struct { + __Pyx_CachedCodeObjectType* code_object; + int code_line; +} __Pyx_CodeObjectCacheEntry; +struct __Pyx_CodeObjectCache { + int count; + int max_count; + __Pyx_CodeObjectCacheEntry* entries; + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + __pyx_atomic_int_type accessor_count; + #endif +}; +static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line); +static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line); +static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object); + +/* AddTraceback.proto */ +static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename); + +/* BufferStructDeclare.proto */ +typedef struct { + Py_ssize_t shape, strides, suboffsets; +} __Pyx_Buf_DimInfo; +typedef struct { + size_t refcount; + Py_buffer pybuffer; +} __Pyx_Buffer; +typedef struct { + __Pyx_Buffer *rcbuffer; + char *data; + __Pyx_Buf_DimInfo diminfo[8]; +} __Pyx_LocalBuf_ND; + +/* GCCDiagnostics.proto */ +#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) +#define __Pyx_HAS_GCC_DIAGNOSTIC +#endif + +/* RealImag.proto */ +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #define __Pyx_CREAL(z) ((z).real()) + #define __Pyx_CIMAG(z) ((z).imag()) + #else + #define __Pyx_CREAL(z) (__real__(z)) + #define __Pyx_CIMAG(z) (__imag__(z)) + #endif +#else + #define __Pyx_CREAL(z) ((z).real) + #define __Pyx_CIMAG(z) ((z).imag) +#endif +#if defined(__cplusplus) && CYTHON_CCOMPLEX\ + && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103) + #define __Pyx_SET_CREAL(z,x) ((z).real(x)) + #define __Pyx_SET_CIMAG(z,y) ((z).imag(y)) +#else + #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x) + #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y) +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #define __Pyx_c_eq_float(a, b) ((a)==(b)) + #define __Pyx_c_sum_float(a, b) ((a)+(b)) + #define __Pyx_c_diff_float(a, b) ((a)-(b)) + #define __Pyx_c_prod_float(a, b) ((a)*(b)) + #define __Pyx_c_quot_float(a, b) ((a)/(b)) + #define __Pyx_c_neg_float(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_float(z) ((z)==(float)0) + #define __Pyx_c_conj_float(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_float(z) (::std::abs(z)) + #define __Pyx_c_pow_float(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_float(z) ((z)==0) + #define __Pyx_c_conj_float(z) (conjf(z)) + #if 1 + #define __Pyx_c_abs_float(z) (cabsf(z)) + #define __Pyx_c_pow_float(a, b) (cpowf(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex); + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex); + #endif +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #define __Pyx_c_eq_double(a, b) ((a)==(b)) + #define __Pyx_c_sum_double(a, b) ((a)+(b)) + #define __Pyx_c_diff_double(a, b) ((a)-(b)) + #define __Pyx_c_prod_double(a, b) ((a)*(b)) + #define __Pyx_c_quot_double(a, b) ((a)/(b)) + #define __Pyx_c_neg_double(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_double(z) ((z)==(double)0) + #define __Pyx_c_conj_double(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (::std::abs(z)) + #define __Pyx_c_pow_double(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_double(z) ((z)==0) + #define __Pyx_c_conj_double(z) (conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (cabs(z)) + #define __Pyx_c_pow_double(a, b) (cpow(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex); + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex); + #endif +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #define __Pyx_c_eq_long__double(a, b) ((a)==(b)) + #define __Pyx_c_sum_long__double(a, b) ((a)+(b)) + #define __Pyx_c_diff_long__double(a, b) ((a)-(b)) + #define __Pyx_c_prod_long__double(a, b) ((a)*(b)) + #define __Pyx_c_quot_long__double(a, b) ((a)/(b)) + #define __Pyx_c_neg_long__double(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0) + #define __Pyx_c_conj_long__double(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_long__double(z) (::std::abs(z)) + #define __Pyx_c_pow_long__double(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_long__double(z) ((z)==0) + #define __Pyx_c_conj_long__double(z) (conjl(z)) + #if 1 + #define __Pyx_c_abs_long__double(z) (cabsl(z)) + #define __Pyx_c_pow_long__double(a, b) (cpowl(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex); + #if 1 + static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex); + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex); + #endif +#endif + +/* CIntFromPy.proto */ +static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *); + +/* PyObjectVectorCallKwBuilder.proto (used by CIntToPy) */ +CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n); +#if CYTHON_VECTORCALL +#if PY_VERSION_HEX >= 0x03090000 +#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall +#else +#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall +#endif +#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n) +static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n); +static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n); +#else +#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict +#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n) +#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value) +#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value) +#endif + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int(int value); + +/* FormatTypeName.proto */ +#if CYTHON_COMPILING_IN_LIMITED_API +typedef PyObject *__Pyx_TypeName; +#define __Pyx_FMT_TYPENAME "%U" +#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj) +#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 +#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName +#else +static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp); +#endif +#else // !LIMITED_API +typedef const char *__Pyx_TypeName; +#define __Pyx_FMT_TYPENAME "%.200s" +#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name) +#define __Pyx_DECREF_TypeName(obj) +#endif + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value); + +/* CIntFromPy.proto */ +static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *); + +/* FastTypeChecks.proto */ +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type) +#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2) +static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b); +static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2); +#else +#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) +#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2)) +#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type) +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) { + return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2); +} +#endif +#define __Pyx_PyErr_ExceptionMatches2(err1, err2) __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2) +#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception) +#ifdef PyExceptionInstance_Check + #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj) +#else + #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException) +#endif + +/* GetRuntimeVersion.proto */ +#if __PYX_LIMITED_VERSION_HEX < 0x030b0000 +static unsigned long __Pyx_cached_runtime_version = 0; +static void __Pyx_init_runtime_version(void); +#else +#define __Pyx_init_runtime_version() +#endif +static unsigned long __Pyx_get_runtime_version(void); + +/* CheckBinaryVersion.proto */ +static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer); + +/* DecompressString.proto */ +static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo); + +/* MultiPhaseInitModuleState.proto */ +#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE +static PyObject *__Pyx_State_FindModule(void*); +static int __Pyx_State_AddModule(PyObject* module, void*); +static int __Pyx_State_RemoveModule(void*); +#elif CYTHON_USE_MODULE_STATE +#define __Pyx_State_FindModule PyState_FindModule +#define __Pyx_State_AddModule PyState_AddModule +#define __Pyx_State_RemoveModule PyState_RemoveModule +#endif + +/* #### Code section: module_declarations ### */ +/* CythonABIVersion.proto */ +#if CYTHON_COMPILING_IN_LIMITED_API + #if CYTHON_METH_FASTCALL + #define __PYX_FASTCALL_ABI_SUFFIX "_fastcall" + #else + #define __PYX_FASTCALL_ABI_SUFFIX + #endif + #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_FASTCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX +#else + #define __PYX_LIMITED_ABI_SUFFIX +#endif +#if __PYX_HAS_PY_AM_SEND == 1 + #define __PYX_AM_SEND_ABI_SUFFIX +#elif __PYX_HAS_PY_AM_SEND == 2 + #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport" +#else + #define __PYX_AM_SEND_ABI_SUFFIX "noamsend" +#endif +#ifndef __PYX_MONITORING_ABI_SUFFIX + #define __PYX_MONITORING_ABI_SUFFIX +#endif +#if CYTHON_USE_TP_FINALIZE + #define __PYX_TP_FINALIZE_ABI_SUFFIX +#else + #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize" +#endif +#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED) + #define __PYX_FREELISTS_ABI_SUFFIX +#else + #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists" +#endif +#define CYTHON_ABI __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX +#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI +#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "." + +static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self); /* proto*/ +static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/ +static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/ + +/* Module declarations from "libc.string" */ + +/* Module declarations from "libc.stdio" */ + +/* Module declarations from "__builtin__" */ + +/* Module declarations from "cpython.type" */ + +/* Module declarations from "cpython" */ + +/* Module declarations from "cpython.object" */ + +/* Module declarations from "cpython.ref" */ + +/* Module declarations from "numpy" */ + +/* Module declarations from "numpy" */ +static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/ + +/* Module declarations from "orbitize._kepler3" */ +/* #### Code section: typeinfo ### */ +static const __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_8orbitize_8_kepler3_DTYPE_t = { "DTYPE_t", NULL, sizeof(__pyx_t_8orbitize_8_kepler3_DTYPE_t), { 0 }, 0, 'R', 0, 0 }; +/* #### Code section: before_global_var ### */ +#define __Pyx_MODULE_NAME "orbitize._kepler3" +extern int __pyx_module_is_main_orbitize___kepler3; +int __pyx_module_is_main_orbitize___kepler3 = 0; + +/* Implementation of "orbitize._kepler3" */ +/* #### Code section: global_var ### */ +/* #### Code section: string_decls ### */ +/* #### Code section: decls ### */ +static PyObject *__pyx_pf_8orbitize_8_kepler3__calc_orbit(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_epochs, PyArrayObject *__pyx_v_sma, PyArrayObject *__pyx_v_ecc, PyArrayObject *__pyx_v_inc, PyArrayObject *__pyx_v_aop, PyArrayObject *__pyx_v_pan, PyArrayObject *__pyx_v_tau, PyArrayObject *__pyx_v_plx, PyArrayObject *__pyx_v_mtot, PyArrayObject *__pyx_v_mass_for_Kamp, float __pyx_v_tau_ref_epoch, float __pyx_v_tolerance, int __pyx_v_max_iter); /* proto */ +static PyObject *__pyx_pf_8orbitize_8_kepler3_2_calc_ecc_anom(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_manom, PyArrayObject *__pyx_v_ecc, float __pyx_v_tolerance, int __pyx_v_max_iter); /* proto */ +/* #### Code section: late_includes ### */ +/* #### Code section: module_state ### */ +/* SmallCodeConfig */ +#ifndef CYTHON_SMALL_CODE +#if defined(__clang__) + #define CYTHON_SMALL_CODE +#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3)) + #define CYTHON_SMALL_CODE __attribute__((cold)) +#else + #define CYTHON_SMALL_CODE +#endif +#endif + +typedef struct { + PyObject *__pyx_d; + PyObject *__pyx_b; + PyObject *__pyx_cython_runtime; + PyObject *__pyx_empty_tuple; + PyObject *__pyx_empty_bytes; + PyObject *__pyx_empty_unicode; + PyTypeObject *__pyx_ptype_7cpython_4type_type; + PyTypeObject *__pyx_ptype_5numpy_dtype; + PyTypeObject *__pyx_ptype_5numpy_flatiter; + PyTypeObject *__pyx_ptype_5numpy_broadcast; + PyTypeObject *__pyx_ptype_5numpy_ndarray; + PyTypeObject *__pyx_ptype_5numpy_generic; + PyTypeObject *__pyx_ptype_5numpy_number; + PyTypeObject *__pyx_ptype_5numpy_integer; + PyTypeObject *__pyx_ptype_5numpy_signedinteger; + PyTypeObject *__pyx_ptype_5numpy_unsignedinteger; + PyTypeObject *__pyx_ptype_5numpy_inexact; + PyTypeObject *__pyx_ptype_5numpy_floating; + PyTypeObject *__pyx_ptype_5numpy_complexfloating; + PyTypeObject *__pyx_ptype_5numpy_flexible; + PyTypeObject *__pyx_ptype_5numpy_character; + PyTypeObject *__pyx_ptype_5numpy_ufunc; + __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_items; + __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_pop; + __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_values; + PyObject *__pyx_codeobj_tab[2]; + PyObject *__pyx_string_tab[60]; +/* #### Code section: module_state_contents ### */ +/* CommonTypesMetaclass.module_state_decls */ +PyTypeObject *__pyx_CommonTypesMetaclassType; + +/* CachedMethodType.module_state_decls */ +#if CYTHON_COMPILING_IN_LIMITED_API +PyObject *__Pyx_CachedMethodType; +#endif + +/* CythonFunctionShared.module_state_decls */ +PyTypeObject *__pyx_CyFunctionType; + +/* CodeObjectCache.module_state_decls */ +struct __Pyx_CodeObjectCache __pyx_code_cache; + +/* #### Code section: module_state_end ### */ +} __pyx_mstatetype; + +#if CYTHON_USE_MODULE_STATE +#ifdef __cplusplus +namespace { +extern struct PyModuleDef __pyx_moduledef; +} /* anonymous namespace */ +#else +static struct PyModuleDef __pyx_moduledef; +#endif + +#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef))) + +#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef)) +#else +static __pyx_mstatetype __pyx_mstate_global_static = +#ifdef __cplusplus + {}; +#else + {0}; +#endif +static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static; +#endif +/* #### Code section: constant_name_defines ### */ +#define __pyx_kp_u_ __pyx_string_tab[0] +#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[1] +#define __pyx_kp_u_add_note __pyx_string_tab[2] +#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[3] +#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[4] +#define __pyx_kp_u_orbitize__kepler3_pyx __pyx_string_tab[5] +#define __pyx_n_u_DTYPE __pyx_string_tab[6] +#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[7] +#define __pyx_n_u_T __pyx_string_tab[8] +#define __pyx_n_u_annotate __pyx_string_tab[9] +#define __pyx_n_u_aop __pyx_string_tab[10] +#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[11] +#define __pyx_n_u_calc_ecc_anom __pyx_string_tab[12] +#define __pyx_n_u_calc_orbit __pyx_string_tab[13] +#define __pyx_n_u_cline_in_traceback __pyx_string_tab[14] +#define __pyx_n_u_deoff __pyx_string_tab[15] +#define __pyx_n_u_deoff_ret __pyx_string_tab[16] +#define __pyx_n_u_eanom __pyx_string_tab[17] +#define __pyx_n_u_ecc __pyx_string_tab[18] +#define __pyx_n_u_epochs __pyx_string_tab[19] +#define __pyx_n_u_float64 __pyx_string_tab[20] +#define __pyx_n_u_func __pyx_string_tab[21] +#define __pyx_n_u_inc __pyx_string_tab[22] +#define __pyx_n_u_is_coroutine __pyx_string_tab[23] +#define __pyx_n_u_items __pyx_string_tab[24] +#define __pyx_n_u_main __pyx_string_tab[25] +#define __pyx_n_u_manom __pyx_string_tab[26] +#define __pyx_n_u_mass_for_Kamp __pyx_string_tab[27] +#define __pyx_n_u_max_iter __pyx_string_tab[28] +#define __pyx_n_u_module __pyx_string_tab[29] +#define __pyx_n_u_mtot __pyx_string_tab[30] +#define __pyx_n_u_n_epochs __pyx_string_tab[31] +#define __pyx_n_u_n_orbits __pyx_string_tab[32] +#define __pyx_n_u_name __pyx_string_tab[33] +#define __pyx_n_u_np __pyx_string_tab[34] +#define __pyx_n_u_numpy __pyx_string_tab[35] +#define __pyx_n_u_orbitize__kepler3 __pyx_string_tab[36] +#define __pyx_n_u_pan __pyx_string_tab[37] +#define __pyx_n_u_plx __pyx_string_tab[38] +#define __pyx_n_u_pop __pyx_string_tab[39] +#define __pyx_n_u_qualname __pyx_string_tab[40] +#define __pyx_n_u_raoff __pyx_string_tab[41] +#define __pyx_n_u_raoff_ret __pyx_string_tab[42] +#define __pyx_n_u_reshape __pyx_string_tab[43] +#define __pyx_n_u_set_name __pyx_string_tab[44] +#define __pyx_n_u_setdefault __pyx_string_tab[45] +#define __pyx_n_u_size __pyx_string_tab[46] +#define __pyx_n_u_sma __pyx_string_tab[47] +#define __pyx_n_u_tanom __pyx_string_tab[48] +#define __pyx_n_u_tanom_ret __pyx_string_tab[49] +#define __pyx_n_u_tau __pyx_string_tab[50] +#define __pyx_n_u_tau_ref_epoch __pyx_string_tab[51] +#define __pyx_n_u_test __pyx_string_tab[52] +#define __pyx_n_u_tolerance __pyx_string_tab[53] +#define __pyx_n_u_values __pyx_string_tab[54] +#define __pyx_n_u_vz __pyx_string_tab[55] +#define __pyx_n_u_vz_ret __pyx_string_tab[56] +#define __pyx_n_u_zeros __pyx_string_tab[57] +#define __pyx_kp_b_iso88591_6_fAQ_RvQir_RvQir_F_9Ba_RvQir_a __pyx_string_tab[58] +#define __pyx_kp_b_iso88591_E_q_RvQa_q_q_Q_q_1 __pyx_string_tab[59] +/* #### Code section: module_state_clear ### */ +#if CYTHON_USE_MODULE_STATE +static CYTHON_SMALL_CODE int __pyx_m_clear(PyObject *m) { + __pyx_mstatetype *clear_module_state = __Pyx_PyModule_GetState(m); + if (!clear_module_state) return 0; + Py_CLEAR(clear_module_state->__pyx_d); + Py_CLEAR(clear_module_state->__pyx_b); + Py_CLEAR(clear_module_state->__pyx_cython_runtime); + Py_CLEAR(clear_module_state->__pyx_empty_tuple); + Py_CLEAR(clear_module_state->__pyx_empty_bytes); + Py_CLEAR(clear_module_state->__pyx_empty_unicode); + #if CYTHON_PEP489_MULTI_PHASE_INIT + __Pyx_State_RemoveModule(NULL); + #endif + Py_CLEAR(clear_module_state->__pyx_ptype_7cpython_4type_type); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_dtype); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flatiter); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_broadcast); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ndarray); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_generic); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_number); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_integer); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_signedinteger); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_unsignedinteger); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_inexact); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_floating); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_complexfloating); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flexible); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_character); + Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ufunc); + for (int i=0; i<2; ++i) { Py_CLEAR(clear_module_state->__pyx_codeobj_tab[i]); } + for (int i=0; i<60; ++i) { Py_CLEAR(clear_module_state->__pyx_string_tab[i]); } +/* #### Code section: module_state_clear_contents ### */ +/* CommonTypesMetaclass.module_state_clear */ +Py_CLEAR(clear_module_state->__pyx_CommonTypesMetaclassType); + +/* CythonFunctionShared.module_state_clear */ +Py_CLEAR(clear_module_state->__pyx_CyFunctionType); + +/* #### Code section: module_state_clear_end ### */ +return 0; +} +#endif +/* #### Code section: module_state_traverse ### */ +#if CYTHON_USE_MODULE_STATE +static CYTHON_SMALL_CODE int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) { + __pyx_mstatetype *traverse_module_state = __Pyx_PyModule_GetState(m); + if (!traverse_module_state) return 0; + Py_VISIT(traverse_module_state->__pyx_d); + Py_VISIT(traverse_module_state->__pyx_b); + Py_VISIT(traverse_module_state->__pyx_cython_runtime); + __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_tuple); + __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_bytes); + __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_unicode); + Py_VISIT(traverse_module_state->__pyx_ptype_7cpython_4type_type); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_dtype); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flatiter); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_broadcast); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ndarray); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_generic); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_number); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_integer); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_signedinteger); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_unsignedinteger); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_inexact); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_floating); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_complexfloating); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flexible); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_character); + Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ufunc); + for (int i=0; i<2; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_codeobj_tab[i]); } + for (int i=0; i<60; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_string_tab[i]); } +/* #### Code section: module_state_traverse_contents ### */ +/* CommonTypesMetaclass.module_state_traverse */ +Py_VISIT(traverse_module_state->__pyx_CommonTypesMetaclassType); + +/* CythonFunctionShared.module_state_traverse */ +Py_VISIT(traverse_module_state->__pyx_CyFunctionType); + +/* #### Code section: module_state_traverse_end ### */ +return 0; +} +#endif +/* #### Code section: module_code ### */ + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":286 + * cdef int type_num + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_intp itemsize(self) noexcept nogil: + * return PyDataType_ELSIZE(self) +*/ + +static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self) { + npy_intp __pyx_r; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":288 + * @property + * cdef inline npy_intp itemsize(self) noexcept nogil: + * return PyDataType_ELSIZE(self) # <<<<<<<<<<<<<< + * + * @property +*/ + __pyx_r = PyDataType_ELSIZE(__pyx_v_self); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":286 + * cdef int type_num + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_intp itemsize(self) noexcept nogil: + * return PyDataType_ELSIZE(self) +*/ + + /* function exit code */ + __pyx_L0:; + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":290 + * return PyDataType_ELSIZE(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_intp alignment(self) noexcept nogil: + * return PyDataType_ALIGNMENT(self) +*/ + +static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self) { + npy_intp __pyx_r; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":292 + * @property + * cdef inline npy_intp alignment(self) noexcept nogil: + * return PyDataType_ALIGNMENT(self) # <<<<<<<<<<<<<< + * + * # Use fields/names with care as they may be NULL. You must check +*/ + __pyx_r = PyDataType_ALIGNMENT(__pyx_v_self); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":290 + * return PyDataType_ELSIZE(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_intp alignment(self) noexcept nogil: + * return PyDataType_ALIGNMENT(self) +*/ + + /* function exit code */ + __pyx_L0:; + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":296 + * # Use fields/names with care as they may be NULL. You must check + * # for this using PyDataType_HASFIELDS. + * @property # <<<<<<<<<<<<<< + * cdef inline object fields(self): + * return PyDataType_FIELDS(self) +*/ + +static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self) { + PyObject *__pyx_r = NULL; + __Pyx_RefNannyDeclarations + PyObject *__pyx_t_1; + __Pyx_RefNannySetupContext("fields", 0); + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":298 + * @property + * cdef inline object fields(self): + * return PyDataType_FIELDS(self) # <<<<<<<<<<<<<< + * + * @property +*/ + __Pyx_XDECREF(__pyx_r); + __pyx_t_1 = PyDataType_FIELDS(__pyx_v_self); + __Pyx_INCREF(((PyObject *)__pyx_t_1)); + __pyx_r = ((PyObject *)__pyx_t_1); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":296 + * # Use fields/names with care as they may be NULL. You must check + * # for this using PyDataType_HASFIELDS. + * @property # <<<<<<<<<<<<<< + * cdef inline object fields(self): + * return PyDataType_FIELDS(self) +*/ + + /* function exit code */ + __pyx_L0:; + __Pyx_XGIVEREF(__pyx_r); + __Pyx_RefNannyFinishContext(); + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":300 + * return PyDataType_FIELDS(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline tuple names(self): + * return PyDataType_NAMES(self) +*/ + +static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self) { + PyObject *__pyx_r = NULL; + __Pyx_RefNannyDeclarations + PyObject *__pyx_t_1; + __Pyx_RefNannySetupContext("names", 0); + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":302 + * @property + * cdef inline tuple names(self): + * return PyDataType_NAMES(self) # <<<<<<<<<<<<<< + * + * # Use PyDataType_HASSUBARRAY to test whether this field is +*/ + __Pyx_XDECREF(__pyx_r); + __pyx_t_1 = PyDataType_NAMES(__pyx_v_self); + __Pyx_INCREF(((PyObject*)__pyx_t_1)); + __pyx_r = ((PyObject*)__pyx_t_1); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":300 + * return PyDataType_FIELDS(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline tuple names(self): + * return PyDataType_NAMES(self) +*/ + + /* function exit code */ + __pyx_L0:; + __Pyx_XGIVEREF(__pyx_r); + __Pyx_RefNannyFinishContext(); + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":307 + * # valid (the pointer can be NULL). Most users should access + * # this field via the inline helper method PyDataType_SHAPE. + * @property # <<<<<<<<<<<<<< + * cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil: + * return PyDataType_SUBARRAY(self) +*/ + +static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self) { + PyArray_ArrayDescr *__pyx_r; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":309 + * @property + * cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil: + * return PyDataType_SUBARRAY(self) # <<<<<<<<<<<<<< + * + * @property +*/ + __pyx_r = PyDataType_SUBARRAY(__pyx_v_self); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":307 + * # valid (the pointer can be NULL). Most users should access + * # this field via the inline helper method PyDataType_SHAPE. + * @property # <<<<<<<<<<<<<< + * cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil: + * return PyDataType_SUBARRAY(self) +*/ + + /* function exit code */ + __pyx_L0:; + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":311 + * return PyDataType_SUBARRAY(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_uint64 flags(self) noexcept nogil: + * """The data types flags.""" +*/ + +static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self) { + npy_uint64 __pyx_r; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":314 + * cdef inline npy_uint64 flags(self) noexcept nogil: + * """The data types flags.""" + * return PyDataType_FLAGS(self) # <<<<<<<<<<<<<< + * + * +*/ + __pyx_r = PyDataType_FLAGS(__pyx_v_self); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":311 + * return PyDataType_SUBARRAY(self) + * + * @property # <<<<<<<<<<<<<< + * cdef inline npy_uint64 flags(self) noexcept nogil: + * """The data types flags.""" +*/ + + /* function exit code */ + __pyx_L0:; + return __pyx_r; +} + +/* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":323 + * ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]: + * + * @property # <<<<<<<<<<<<<< + * cdef inline int numiter(self) noexcept nogil: + * """The number of arrays that need to be broadcast to the same shape.""" +*/ + +static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self) { + int __pyx_r; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":326 + * cdef inline int numiter(self) noexcept nogil: + * """The number of arrays that need to be broadcast to the same shape.""" + * return PyArray_MultiIter_NUMITER(self) # <<<<<<<<<<<<<< + * + * @property +*/ + __pyx_r = PyArray_MultiIter_NUMITER(__pyx_v_self); + goto __pyx_L0; + + /* "../miniconda3/envs/codeastro/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":323 + * ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]: + * + * @property # <<<<<<<<<<<<<< + * cdef inline int numiter(self) noexcept nogil: + * """The number of arrays that need to be broadcast to the same shape.""" +*/ + + /* function exit code */ + __pyx_L0:; 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+ while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) && + exc_info->previous_item != NULL) + { + exc_info = exc_info->previous_item; + } + return exc_info; +} +#endif + +/* SaveResetException */ +#if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { + #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4 + _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate); + PyObject *exc_value = exc_info->exc_value; + if (exc_value == NULL || exc_value == Py_None) { + *value = NULL; + *type = NULL; + *tb = NULL; + } else { + *value = exc_value; + Py_INCREF(*value); + *type = (PyObject*) Py_TYPE(exc_value); + Py_INCREF(*type); + *tb = PyException_GetTraceback(exc_value); + } + #elif CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate); + *type = exc_info->exc_type; + *value = exc_info->exc_value; + *tb = exc_info->exc_traceback; + Py_XINCREF(*type); + Py_XINCREF(*value); + Py_XINCREF(*tb); + #else + *type = tstate->exc_type; + *value = tstate->exc_value; + *tb = tstate->exc_traceback; + Py_XINCREF(*type); + Py_XINCREF(*value); + Py_XINCREF(*tb); + #endif +} +static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { + #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4 + _PyErr_StackItem *exc_info = tstate->exc_info; + PyObject *tmp_value = exc_info->exc_value; + exc_info->exc_value = value; + Py_XDECREF(tmp_value); + Py_XDECREF(type); + Py_XDECREF(tb); + #else + PyObject *tmp_type, *tmp_value, *tmp_tb; + #if CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = tstate->exc_info; + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = type; + exc_info->exc_value = value; + exc_info->exc_traceback = tb; + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = type; + tstate->exc_value = value; + tstate->exc_traceback = tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); + #endif +} +#endif + +/* PyErrExceptionMatches */ +#if CYTHON_FAST_THREAD_STATE +static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(tuple); + for (i=0; i= 0x030C00A6 + PyObject *current_exception = tstate->current_exception; + if (unlikely(!current_exception)) return 0; + exc_type = (PyObject*) Py_TYPE(current_exception); + if (exc_type == err) return 1; +#else + exc_type = tstate->curexc_type; + if (exc_type == err) return 1; + if (unlikely(!exc_type)) return 0; +#endif + #if CYTHON_AVOID_BORROWED_REFS + Py_INCREF(exc_type); + #endif + if (unlikely(PyTuple_Check(err))) { + result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err); + } else { + result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err); + } + #if CYTHON_AVOID_BORROWED_REFS + Py_DECREF(exc_type); + #endif + return result; +} +#endif + +/* GetException */ +#if CYTHON_FAST_THREAD_STATE +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) +#endif +{ + PyObject *local_type = NULL, *local_value, *local_tb = NULL; +#if CYTHON_FAST_THREAD_STATE + PyObject *tmp_type, *tmp_value, *tmp_tb; + #if PY_VERSION_HEX >= 0x030C0000 + local_value = tstate->current_exception; + tstate->current_exception = 0; + #else + local_type = tstate->curexc_type; + local_value = tstate->curexc_value; + local_tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; + #endif +#elif __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + local_value = PyErr_GetRaisedException(); +#else + PyErr_Fetch(&local_type, &local_value, &local_tb); +#endif +#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + if (likely(local_value)) { + local_type = (PyObject*) Py_TYPE(local_value); + Py_INCREF(local_type); + local_tb = PyException_GetTraceback(local_value); + } +#else + PyErr_NormalizeException(&local_type, &local_value, &local_tb); +#if CYTHON_FAST_THREAD_STATE + if (unlikely(tstate->curexc_type)) +#else + if (unlikely(PyErr_Occurred())) +#endif + goto bad; + if (local_tb) { + if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0)) + goto bad; + } +#endif // __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + Py_XINCREF(local_tb); + Py_XINCREF(local_type); + Py_XINCREF(local_value); + *type = local_type; + *value = local_value; + *tb = local_tb; +#if CYTHON_FAST_THREAD_STATE + #if CYTHON_USE_EXC_INFO_STACK + { + _PyErr_StackItem *exc_info = tstate->exc_info; + #if PY_VERSION_HEX >= 0x030B00a4 + tmp_value = exc_info->exc_value; + exc_info->exc_value = local_value; + tmp_type = NULL; + tmp_tb = NULL; + Py_XDECREF(local_type); + Py_XDECREF(local_tb); + #else + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = local_type; + exc_info->exc_value = local_value; + exc_info->exc_traceback = local_tb; + #endif + } + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = local_type; + tstate->exc_value = local_value; + tstate->exc_traceback = local_tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000 + PyErr_SetHandledException(local_value); + Py_XDECREF(local_value); + Py_XDECREF(local_type); + Py_XDECREF(local_tb); +#else + PyErr_SetExcInfo(local_type, local_value, local_tb); +#endif + return 0; +#if __PYX_LIMITED_VERSION_HEX < 0x030C0000 +bad: + *type = 0; + *value = 0; + *tb = 0; + Py_XDECREF(local_type); + Py_XDECREF(local_value); + Py_XDECREF(local_tb); + return -1; +#endif +} + +/* PyObjectCall (used by PyObjectFastCall) */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) { + PyObject *result; + ternaryfunc call = Py_TYPE(func)->tp_call; + if (unlikely(!call)) + return PyObject_Call(func, arg, kw); + if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) + return NULL; + result = (*call)(func, arg, kw); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* PyObjectCallMethO (used by PyObjectFastCall) */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) { + PyObject *self, *result; + PyCFunction cfunc; + cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func); + self = __Pyx_CyOrPyCFunction_GET_SELF(func); + if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) + return NULL; + result = cfunc(self, arg); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* PyObjectFastCall */ +#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API +static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) { + PyObject *argstuple; + PyObject *result = 0; + size_t i; + argstuple = PyTuple_New((Py_ssize_t)nargs); + if (unlikely(!argstuple)) return NULL; + for (i = 0; i < nargs; i++) { + Py_INCREF(args[i]); + if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad; + } + result = __Pyx_PyObject_Call(func, argstuple, kwargs); + bad: + Py_DECREF(argstuple); + return result; +} +#endif +#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API + #if PY_VERSION_HEX < 0x03090000 + #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable) + #elif CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) { + PyTypeObject *tp = Py_TYPE(callable); + #if defined(__Pyx_CyFunction_USED) && CYTHON_METH_FASTCALL + if (__Pyx_CyFunction_CheckExact(callable)) { + return __Pyx_CyFunction_func_vectorcall(callable); + } + #endif + if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) { + return NULL; + } + assert(PyCallable_Check(callable)); + Py_ssize_t offset = tp->tp_vectorcall_offset; + assert(offset > 0); + vectorcallfunc ptr; + memcpy(&ptr, (char *) callable + offset, sizeof(ptr)); + return ptr; +} + #else + #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable) + #endif +#endif +static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t _nargs, PyObject *kwargs) { + Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs); +#if CYTHON_COMPILING_IN_CPYTHON + if (nargs == 0 && kwargs == NULL) { + if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS)) + return __Pyx_PyObject_CallMethO(func, NULL); + } + else if (nargs == 1 && kwargs == NULL) { + if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O)) + return __Pyx_PyObject_CallMethO(func, args[0]); + } +#endif + if (kwargs == NULL) { + #if CYTHON_VECTORCALL + #if CYTHON_COMPILING_IN_LIMITED_API + return PyObject_Vectorcall(func, args, _nargs, NULL); + #else + vectorcallfunc f = __Pyx_PyVectorcall_Function(func); + if (f) { + return f(func, args, _nargs, NULL); + } + #endif + #endif + } + if (nargs == 0) { + return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs); + } + #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API + return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs); + #else + return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs); + #endif +} + +/* PyErrFetchRestore (used by RaiseException) */ +#if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { +#if PY_VERSION_HEX >= 0x030C00A6 + PyObject *tmp_value; + assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value))); + if (value) { + #if CYTHON_COMPILING_IN_CPYTHON + if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb)) + #endif + PyException_SetTraceback(value, tb); + } + tmp_value = tstate->current_exception; + tstate->current_exception = value; + Py_XDECREF(tmp_value); + Py_XDECREF(type); + Py_XDECREF(tb); +#else + PyObject *tmp_type, *tmp_value, *tmp_tb; + tmp_type = tstate->curexc_type; + tmp_value = tstate->curexc_value; + tmp_tb = tstate->curexc_traceback; + tstate->curexc_type = type; + tstate->curexc_value = value; + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +#endif +} +static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { +#if PY_VERSION_HEX >= 0x030C00A6 + PyObject* exc_value; + exc_value = tstate->current_exception; + tstate->current_exception = 0; + *value = exc_value; + *type = NULL; + *tb = NULL; + if (exc_value) { + *type = (PyObject*) Py_TYPE(exc_value); + Py_INCREF(*type); + #if CYTHON_COMPILING_IN_CPYTHON + *tb = ((PyBaseExceptionObject*) exc_value)->traceback; + Py_XINCREF(*tb); + #else + *tb = PyException_GetTraceback(exc_value); + #endif + } +#else + *type = tstate->curexc_type; + *value = tstate->curexc_value; + *tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +#endif +} +#endif + +/* RaiseException */ +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { + PyObject* owned_instance = NULL; + if (tb == Py_None) { + tb = 0; + } else if (tb && !PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto bad; + } + if (value == Py_None) + value = 0; + if (PyExceptionInstance_Check(type)) { + if (value) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto bad; + } + value = type; + type = (PyObject*) Py_TYPE(value); + } else if (PyExceptionClass_Check(type)) { + PyObject *instance_class = NULL; + if (value && PyExceptionInstance_Check(value)) { + instance_class = (PyObject*) Py_TYPE(value); + if (instance_class != type) { + int is_subclass = PyObject_IsSubclass(instance_class, type); + if (!is_subclass) { + instance_class = NULL; + } else if (unlikely(is_subclass == -1)) { + goto bad; + } else { + type = instance_class; + } + } + } + if (!instance_class) { + PyObject *args; + if (!value) + args = PyTuple_New(0); + else if (PyTuple_Check(value)) { + Py_INCREF(value); + args = value; + } else + args = PyTuple_Pack(1, value); + if (!args) + goto bad; + owned_instance = PyObject_Call(type, args, NULL); + Py_DECREF(args); + if (!owned_instance) + goto bad; + value = owned_instance; + if (!PyExceptionInstance_Check(value)) { + PyErr_Format(PyExc_TypeError, + "calling %R should have returned an instance of " + "BaseException, not %R", + type, Py_TYPE(value)); + goto bad; + } + } + } else { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto bad; + } + if (cause) { + PyObject *fixed_cause; + if (cause == Py_None) { + fixed_cause = NULL; + } else if (PyExceptionClass_Check(cause)) { + fixed_cause = PyObject_CallObject(cause, NULL); + if (fixed_cause == NULL) + goto bad; + } else if (PyExceptionInstance_Check(cause)) { + fixed_cause = cause; + Py_INCREF(fixed_cause); + } else { + PyErr_SetString(PyExc_TypeError, + "exception causes must derive from " + "BaseException"); + goto bad; + } + PyException_SetCause(value, fixed_cause); + } + PyErr_SetObject(type, value); + if (tb) { +#if PY_VERSION_HEX >= 0x030C00A6 + PyException_SetTraceback(value, tb); +#elif CYTHON_FAST_THREAD_STATE + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject* tmp_tb = tstate->curexc_traceback; + if (tb != tmp_tb) { + Py_INCREF(tb); + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_tb); + } +#else + PyObject *tmp_type, *tmp_value, *tmp_tb; + PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb); + Py_INCREF(tb); + PyErr_Restore(tmp_type, tmp_value, tb); + Py_XDECREF(tmp_tb); +#endif + } +bad: + Py_XDECREF(owned_instance); + return; +} + +/* TupleAndListFromArray (used by fastcall) */ +#if !CYTHON_COMPILING_IN_CPYTHON && CYTHON_METH_FASTCALL +static CYTHON_INLINE PyObject * +__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n) +{ + PyObject *res; + Py_ssize_t i; + if (n <= 0) { + return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple); + } + res = PyTuple_New(n); + if (unlikely(res == NULL)) return NULL; + for (i = 0; i < n; i++) { + Py_INCREF(src[i]); + if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) { + Py_DECREF(res); + return NULL; + } + } + return res; +} +#elif CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) { + PyObject *v; + Py_ssize_t i; + for (i = 0; i < length; i++) { + v = dest[i] = src[i]; + Py_INCREF(v); + } +} +static CYTHON_INLINE PyObject * +__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n) +{ + PyObject *res; + if (n <= 0) { + return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple); + } + res = PyTuple_New(n); + if (unlikely(res == NULL)) return NULL; + __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n); + return res; +} +static CYTHON_INLINE PyObject * +__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n) +{ + PyObject *res; + if (n <= 0) { + return PyList_New(0); + } + res = PyList_New(n); + if (unlikely(res == NULL)) return NULL; + __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n); + return res; +} +#endif + +/* BytesEquals (used by UnicodeEquals) */ +static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) { +#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL ||\ + !(CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) + return PyObject_RichCompareBool(s1, s2, equals); +#else + if (s1 == s2) { + return (equals == Py_EQ); + } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) { + const char *ps1, *ps2; + Py_ssize_t length = PyBytes_GET_SIZE(s1); + if (length != PyBytes_GET_SIZE(s2)) + return (equals == Py_NE); + ps1 = PyBytes_AS_STRING(s1); + ps2 = PyBytes_AS_STRING(s2); + if (ps1[0] != ps2[0]) { + return (equals == Py_NE); + } else if (length == 1) { + return (equals == Py_EQ); + } else { + int result; +#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000) + Py_hash_t hash1, hash2; + hash1 = ((PyBytesObject*)s1)->ob_shash; + hash2 = ((PyBytesObject*)s2)->ob_shash; + if (hash1 != hash2 && hash1 != -1 && hash2 != -1) { + return (equals == Py_NE); + } +#endif + result = memcmp(ps1, ps2, (size_t)length); + return (equals == Py_EQ) ? (result == 0) : (result != 0); + } + } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) { + return (equals == Py_NE); + } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) { + return (equals == Py_NE); + } else { + int result; + PyObject* py_result = PyObject_RichCompare(s1, s2, equals); + if (!py_result) + return -1; + result = __Pyx_PyObject_IsTrue(py_result); + Py_DECREF(py_result); + return result; + } +#endif +} + +/* UnicodeEquals (used by fastcall) */ +static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) { +#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL + return PyObject_RichCompareBool(s1, s2, equals); +#else + int s1_is_unicode, s2_is_unicode; + if (s1 == s2) { + goto return_eq; + } + s1_is_unicode = PyUnicode_CheckExact(s1); + s2_is_unicode = PyUnicode_CheckExact(s2); + if (s1_is_unicode & s2_is_unicode) { + Py_ssize_t length, length2; + int kind; + void *data1, *data2; + #if !CYTHON_COMPILING_IN_LIMITED_API + if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0)) + return -1; + #endif + length = __Pyx_PyUnicode_GET_LENGTH(s1); + #if !CYTHON_ASSUME_SAFE_SIZE + if (unlikely(length < 0)) return -1; + #endif + length2 = __Pyx_PyUnicode_GET_LENGTH(s2); + #if !CYTHON_ASSUME_SAFE_SIZE + if (unlikely(length2 < 0)) return -1; + #endif + if (length != length2) { + goto return_ne; + } +#if CYTHON_USE_UNICODE_INTERNALS + { + Py_hash_t hash1, hash2; + hash1 = ((PyASCIIObject*)s1)->hash; + hash2 = ((PyASCIIObject*)s2)->hash; + if (hash1 != hash2 && hash1 != -1 && hash2 != -1) { + goto return_ne; + } + } +#endif + kind = __Pyx_PyUnicode_KIND(s1); + if (kind != __Pyx_PyUnicode_KIND(s2)) { + goto return_ne; + } + data1 = __Pyx_PyUnicode_DATA(s1); + data2 = __Pyx_PyUnicode_DATA(s2); + if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) { + goto return_ne; + } else if (length == 1) { + goto return_eq; + } else { + int result = memcmp(data1, data2, (size_t)(length * kind)); + return (equals == Py_EQ) ? (result == 0) : (result != 0); + } + } else if ((s1 == Py_None) & s2_is_unicode) { + goto return_ne; + } else if ((s2 == Py_None) & s1_is_unicode) { + goto return_ne; + } else { + int result; + PyObject* py_result = PyObject_RichCompare(s1, s2, equals); + if (!py_result) + return -1; + result = __Pyx_PyObject_IsTrue(py_result); + Py_DECREF(py_result); + return result; + } +return_eq: + return (equals == Py_EQ); +return_ne: + return (equals == Py_NE); +#endif +} + +/* fastcall */ +#if CYTHON_METH_FASTCALL +static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s) +{ + Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames); + #if !CYTHON_ASSUME_SAFE_SIZE + if (unlikely(n == -1)) return NULL; + #endif + for (i = 0; i < n; i++) + { + PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i); + #if !CYTHON_ASSUME_SAFE_MACROS + if (unlikely(!namei)) return NULL; + #endif + if (s == namei) return kwvalues[i]; + } + for (i = 0; i < n; i++) + { + PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i); + #if !CYTHON_ASSUME_SAFE_MACROS + if (unlikely(!namei)) return NULL; + #endif + int eq = __Pyx_PyUnicode_Equals(s, namei, Py_EQ); + if (unlikely(eq != 0)) { + if (unlikely(eq < 0)) return NULL; + return kwvalues[i]; + } + } + return NULL; +} +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API +CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) { + Py_ssize_t i, nkwargs; + PyObject *dict; +#if !CYTHON_ASSUME_SAFE_SIZE + nkwargs = PyTuple_Size(kwnames); + if (unlikely(nkwargs < 0)) return NULL; +#else + nkwargs = PyTuple_GET_SIZE(kwnames); +#endif + dict = PyDict_New(); + if (unlikely(!dict)) + return NULL; + for (i=0; itp_getattro)) + return tp->tp_getattro(obj, attr_name); + return PyObject_GetAttr(obj, attr_name); +} +#endif + +/* UnpackUnboundCMethod (used by CallUnboundCMethod0) */ +#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000 +static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) { + PyObject *result; + PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args)); + if (unlikely(!selfless_args)) return NULL; + result = PyObject_Call(method, selfless_args, kwargs); + Py_DECREF(selfless_args); + return result; +} +#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000 +static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) { + return _PyObject_Vectorcall + (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames); +} +#else +static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) { + return +#if PY_VERSION_HEX < 0x03090000 + _PyObject_Vectorcall +#else + PyObject_Vectorcall +#endif + (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames); +} +#endif +static PyMethodDef __Pyx_UnboundCMethod_Def = { + "CythonUnboundCMethod", + __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall), +#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000 + METH_VARARGS | METH_KEYWORDS, +#else + METH_FASTCALL | METH_KEYWORDS, +#endif + NULL +}; +static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) { + PyObject *method, *result=NULL; + method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name); + if (unlikely(!method)) + return -1; + result = method; +#if CYTHON_COMPILING_IN_CPYTHON + if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type))) + { + PyMethodDescrObject *descr = (PyMethodDescrObject*) method; + target->func = descr->d_method->ml_meth; + target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS); + } else +#endif +#if CYTHON_COMPILING_IN_PYPY +#else + if (PyCFunction_Check(method)) +#endif + { + PyObject *self; + int self_found; +#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY + self = PyObject_GetAttrString(method, "__self__"); + if (!self) { + PyErr_Clear(); + } +#else + self = PyCFunction_GET_SELF(method); +#endif + self_found = (self && self != Py_None); +#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY + Py_XDECREF(self); +#endif + if (self_found) { + PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method); + if (unlikely(!unbound_method)) return -1; + Py_DECREF(method); + result = unbound_method; + } + } +#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + if (unlikely(target->method)) { + Py_DECREF(result); + } else +#endif + target->method = result; + return 0; +} + +/* CallUnboundCMethod0 */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) { + int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc); + if (likely(was_initialized == 2 && cfunc->func)) { + if (likely(cfunc->flag == METH_NOARGS)) + return __Pyx_CallCFunction(cfunc, self, NULL); + if (likely(cfunc->flag == METH_FASTCALL)) + return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0); + if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS)) + return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL); + if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS))) + return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL); + if (cfunc->flag == METH_VARARGS) + return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple); + return __Pyx__CallUnboundCMethod0(cfunc, self); + } +#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + else if (unlikely(was_initialized == 1)) { + __Pyx_CachedCFunction tmp_cfunc = { +#ifndef __cplusplus + 0 +#endif + }; + tmp_cfunc.type = cfunc->type; + tmp_cfunc.method_name = cfunc->method_name; + return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self); + } +#endif + PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self); + __Pyx_CachedCFunction_SetFinishedInitializing(cfunc); + return result; +} +#endif +static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) { + PyObject *result; + if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL; + result = __Pyx_PyObject_CallOneArg(cfunc->method, self); + return result; +} + +/* py_dict_items (used by OwnedDictNext) */ +static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) { + return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d); +} + +/* py_dict_values (used by OwnedDictNext) */ +static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) { + return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d); +} + +/* OwnedDictNext (used by ParseKeywordsImpl) */ +#if CYTHON_AVOID_BORROWED_REFS +static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) { + PyObject *next = NULL; + if (!*ppos) { + if (pvalue) { + PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p); + if (unlikely(!dictview)) goto bad; + *ppos = PyObject_GetIter(dictview); + Py_DECREF(dictview); + } else { + *ppos = PyObject_GetIter(p); + } + if (unlikely(!*ppos)) goto bad; + } + next = PyIter_Next(*ppos); + if (!next) { + if (PyErr_Occurred()) goto bad; + return 0; + } + if (pkey && pvalue) { + *pkey = __Pyx_PySequence_ITEM(next, 0); + if (unlikely(*pkey)) goto bad; + *pvalue = __Pyx_PySequence_ITEM(next, 1); + if (unlikely(*pvalue)) goto bad; + Py_DECREF(next); + } else if (pkey) { + *pkey = next; + } else { + assert(pvalue); + *pvalue = next; + } + return 1; + bad: + Py_XDECREF(next); +#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000 + PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef"); +#else + PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef); +#endif + if (pkey) *pkey = NULL; + if (pvalue) *pvalue = NULL; + return 0; +} +#else // !CYTHON_AVOID_BORROWED_REFS +static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) { + int result = PyDict_Next(p, ppos, pkey, pvalue); + if (likely(result == 1)) { + if (pkey) Py_INCREF(*pkey); + if (pvalue) Py_INCREF(*pvalue); + } + return result; +} +#endif + +/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */ +static void __Pyx_RaiseDoubleKeywordsError( + const char* func_name, + PyObject* kw_name) +{ + PyErr_Format(PyExc_TypeError, + "%s() got multiple values for keyword argument '%U'", func_name, kw_name); +} + +/* CallUnboundCMethod2 */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) { + int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc); + if (likely(was_initialized == 2 && cfunc->func)) { + PyObject *args[2] = {arg1, arg2}; + if (cfunc->flag == METH_FASTCALL) { + return __Pyx_CallCFunctionFast(cfunc, self, args, 2); + } + if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS)) + return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL); + } +#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + else if (unlikely(was_initialized == 1)) { + __Pyx_CachedCFunction tmp_cfunc = { +#ifndef __cplusplus + 0 +#endif + }; + tmp_cfunc.type = cfunc->type; + tmp_cfunc.method_name = cfunc->method_name; + return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2); + } +#endif + PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2); + __Pyx_CachedCFunction_SetFinishedInitializing(cfunc); + return result; +} +#endif +static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){ + if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL; +#if CYTHON_COMPILING_IN_CPYTHON + if (cfunc->func && (cfunc->flag & METH_VARARGS)) { + PyObject *result = NULL; + PyObject *args = PyTuple_New(2); + if (unlikely(!args)) return NULL; + Py_INCREF(arg1); + PyTuple_SET_ITEM(args, 0, arg1); + Py_INCREF(arg2); + PyTuple_SET_ITEM(args, 1, arg2); + if (cfunc->flag & METH_KEYWORDS) + result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL); + else + result = __Pyx_CallCFunction(cfunc, self, args); + Py_DECREF(args); + return result; + } +#endif + { + PyObject *args[4] = {NULL, self, arg1, arg2}; + return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET); + } +} + +/* ParseKeywordsImpl (used by ParseKeywords) */ +static int __Pyx_ValidateDuplicatePosArgs( + PyObject *kwds, + PyObject ** const argnames[], + PyObject ** const *first_kw_arg, + const char* function_name) +{ + PyObject ** const *name = argnames; + while (name != first_kw_arg) { + PyObject *key = **name; + int found = PyDict_Contains(kwds, key); + if (unlikely(found)) { + if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key); + goto bad; + } + name++; + } + return 0; +bad: + return -1; +} +#if CYTHON_USE_UNICODE_INTERNALS +static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) { + int kind; + Py_ssize_t len = PyUnicode_GET_LENGTH(s1); + if (len != PyUnicode_GET_LENGTH(s2)) return 0; + kind = PyUnicode_KIND(s1); + if (kind != PyUnicode_KIND(s2)) return 0; + const void *data1 = PyUnicode_DATA(s1); + const void *data2 = PyUnicode_DATA(s2); + return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0); +} +#endif +static int __Pyx_MatchKeywordArg_str( + PyObject *key, + PyObject ** const argnames[], + PyObject ** const *first_kw_arg, + size_t *index_found, + const char *function_name) +{ + PyObject ** const *name; + #if CYTHON_USE_UNICODE_INTERNALS + Py_hash_t key_hash = ((PyASCIIObject*)key)->hash; + if (unlikely(key_hash == -1)) { + key_hash = PyObject_Hash(key); + if (unlikely(key_hash == -1)) + goto bad; + } + #endif + name = first_kw_arg; + while (*name) { + PyObject *name_str = **name; + #if CYTHON_USE_UNICODE_INTERNALS + if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) { + *index_found = (size_t) (name - argnames); + return 1; + } + #else + #if CYTHON_ASSUME_SAFE_SIZE + if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key)) + #endif + { + int cmp = PyUnicode_Compare(name_str, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) { + *index_found = (size_t) (name - argnames); + return 1; + } + } + #endif + name++; + } + name = argnames; + while (name != first_kw_arg) { + PyObject *name_str = **name; + #if CYTHON_USE_UNICODE_INTERNALS + if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) { + if (__Pyx_UnicodeKeywordsEqual(name_str, key)) + goto arg_passed_twice; + } + #else + #if CYTHON_ASSUME_SAFE_SIZE + if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key)) + #endif + { + if (unlikely(name_str == key)) goto arg_passed_twice; + int cmp = PyUnicode_Compare(name_str, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) goto arg_passed_twice; + } + #endif + name++; + } + return 0; +arg_passed_twice: + __Pyx_RaiseDoubleKeywordsError(function_name, key); + goto bad; +bad: + return -1; +} +static int __Pyx_MatchKeywordArg_nostr( + PyObject *key, + PyObject ** const argnames[], + PyObject ** const *first_kw_arg, + size_t *index_found, + const char *function_name) +{ + PyObject ** const *name; + if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type; + name = first_kw_arg; + while (*name) { + int cmp = PyObject_RichCompareBool(**name, key, Py_EQ); + if (cmp == 1) { + *index_found = (size_t) (name - argnames); + return 1; + } + if (unlikely(cmp == -1)) goto bad; + name++; + } + name = argnames; + while (name != first_kw_arg) { + int cmp = PyObject_RichCompareBool(**name, key, Py_EQ); + if (unlikely(cmp != 0)) { + if (cmp == 1) goto arg_passed_twice; + else goto bad; + } + name++; + } + return 0; +arg_passed_twice: + __Pyx_RaiseDoubleKeywordsError(function_name, key); + goto bad; +invalid_keyword_type: + PyErr_Format(PyExc_TypeError, + "%.200s() keywords must be strings", function_name); + goto bad; +bad: + return -1; +} +static CYTHON_INLINE int __Pyx_MatchKeywordArg( + PyObject *key, + PyObject ** const argnames[], + PyObject ** const *first_kw_arg, + size_t *index_found, + const char *function_name) +{ + return likely(PyUnicode_CheckExact(key)) ? + __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) : + __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name); +} +static void __Pyx_RejectUnknownKeyword( + PyObject *kwds, + PyObject ** const argnames[], + PyObject ** const *first_kw_arg, + const char *function_name) +{ + #if CYTHON_AVOID_BORROWED_REFS + PyObject *pos = NULL; + #else + Py_ssize_t pos = 0; + #endif + PyObject *key = NULL; + __Pyx_BEGIN_CRITICAL_SECTION(kwds); + while ( + #if CYTHON_AVOID_BORROWED_REFS + __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL) + #else + PyDict_Next(kwds, &pos, &key, NULL) + #endif + ) { + PyObject** const *name = first_kw_arg; + while (*name && (**name != key)) name++; + if (!*name) { + size_t index_found = 0; + int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name); + if (cmp != 1) { + if (cmp == 0) { + PyErr_Format(PyExc_TypeError, + "%s() got an unexpected keyword argument '%U'", + function_name, key); + } + #if CYTHON_AVOID_BORROWED_REFS + Py_DECREF(key); + #endif + break; + } + } + #if CYTHON_AVOID_BORROWED_REFS + Py_DECREF(key); + #endif + } + __Pyx_END_CRITICAL_SECTION(); + #if CYTHON_AVOID_BORROWED_REFS + Py_XDECREF(pos); + #endif + assert(PyErr_Occurred()); +} +static int __Pyx_ParseKeywordDict( + PyObject *kwds, + PyObject ** const argnames[], + PyObject *values[], + Py_ssize_t num_pos_args, + Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs) +{ + PyObject** const *name; + PyObject** const *first_kw_arg = argnames + num_pos_args; + Py_ssize_t extracted = 0; +#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments) + if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1; +#endif + name = first_kw_arg; + while (*name && num_kwargs > extracted) { + PyObject * key = **name; + PyObject *value; + int found = 0; + #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 + found = PyDict_GetItemRef(kwds, key, &value); + #else + value = PyDict_GetItemWithError(kwds, key); + if (value) { + Py_INCREF(value); + found = 1; + } else { + if (unlikely(PyErr_Occurred())) goto bad; + } + #endif + if (found) { + if (unlikely(found < 0)) goto bad; + values[name-argnames] = value; + extracted++; + } + name++; + } + if (num_kwargs > extracted) { + if (ignore_unknown_kwargs) { + if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1)) + goto bad; + } else { + __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name); + goto bad; + } + } + return 0; +bad: + return -1; +} +static int __Pyx_ParseKeywordDictToDict( + PyObject *kwds, + PyObject ** const argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + const char* function_name) +{ + PyObject** const *name; + PyObject** const *first_kw_arg = argnames + num_pos_args; + Py_ssize_t len; +#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments) + if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1; +#endif + if (PyDict_Update(kwds2, kwds) < 0) goto bad; + name = first_kw_arg; + while (*name) { + PyObject *key = **name; + PyObject *value; +#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop)) + int found = PyDict_Pop(kwds2, key, &value); + if (found) { + if (unlikely(found < 0)) goto bad; + values[name-argnames] = value; + } +#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000 + int found = PyDict_GetItemRef(kwds2, key, &value); + if (found) { + if (unlikely(found < 0)) goto bad; + values[name-argnames] = value; + if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad; + } +#else + #if CYTHON_COMPILING_IN_CPYTHON + value = _PyDict_Pop(kwds2, key, kwds2); + #else + value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2); + #endif + if (value == kwds2) { + Py_DECREF(value); + } else { + if (unlikely(!value)) goto bad; + values[name-argnames] = value; + } +#endif + name++; + } + len = PyDict_Size(kwds2); + if (len > 0) { + return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name); + } else if (unlikely(len == -1)) { + goto bad; + } + return 0; +bad: + return -1; +} +static int __Pyx_ParseKeywordsTuple( + PyObject *kwds, + PyObject * const *kwvalues, + PyObject ** const argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs) +{ + PyObject *key = NULL; + PyObject** const * name; + PyObject** const *first_kw_arg = argnames + num_pos_args; + for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) { +#if CYTHON_AVOID_BORROWED_REFS + key = __Pyx_PySequence_ITEM(kwds, pos); +#else + key = __Pyx_PyTuple_GET_ITEM(kwds, pos); +#endif +#if !CYTHON_ASSUME_SAFE_MACROS + if (unlikely(!key)) goto bad; +#endif + name = first_kw_arg; + while (*name && (**name != key)) name++; + if (*name) { + PyObject *value = kwvalues[pos]; + values[name-argnames] = __Pyx_NewRef(value); + } else { + size_t index_found = 0; + int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name); + if (cmp == 1) { + PyObject *value = kwvalues[pos]; + values[index_found] = __Pyx_NewRef(value); + } else { + if (unlikely(cmp == -1)) goto bad; + if (kwds2) { + PyObject *value = kwvalues[pos]; + if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad; + } else if (!ignore_unknown_kwargs) { + goto invalid_keyword; + } + } + } + #if CYTHON_AVOID_BORROWED_REFS + Py_DECREF(key); + key = NULL; + #endif + } + return 0; +invalid_keyword: + PyErr_Format(PyExc_TypeError, + "%s() got an unexpected keyword argument '%U'", + function_name, key); + goto bad; +bad: + #if CYTHON_AVOID_BORROWED_REFS + Py_XDECREF(key); + #endif + return -1; +} + +/* ParseKeywords */ +static int __Pyx_ParseKeywords( + PyObject *kwds, + PyObject * const *kwvalues, + PyObject ** const argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + Py_ssize_t num_kwargs, + const char* function_name, + int ignore_unknown_kwargs) +{ + if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds))) + return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs); + else if (kwds2) + return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name); + else + return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs); +} + +/* RaiseArgTupleInvalid */ +static void __Pyx_RaiseArgtupleInvalid( + const char* func_name, + int exact, + Py_ssize_t num_min, + Py_ssize_t num_max, + Py_ssize_t num_found) +{ + Py_ssize_t num_expected; + const char *more_or_less; + if (num_found < num_min) { + num_expected = num_min; + more_or_less = "at least"; + } else { + num_expected = num_max; + more_or_less = "at most"; + } + if (exact) { + more_or_less = "exactly"; + } + PyErr_Format(PyExc_TypeError, + "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)", + func_name, more_or_less, num_expected, + (num_expected == 1) ? "" : "s", num_found); +} + +/* ArgTypeTestFunc (used by ArgTypeTest) */ +static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact) +{ + __Pyx_TypeName type_name; + __Pyx_TypeName obj_type_name; + PyObject *extra_info = __pyx_mstate_global->__pyx_empty_unicode; + int from_annotation_subclass = 0; + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + else if (!exact) { + if (likely(__Pyx_TypeCheck(obj, type))) return 1; + } else if (exact == 2) { + if (__Pyx_TypeCheck(obj, type)) { + from_annotation_subclass = 1; + extra_info = __pyx_mstate_global->__pyx_kp_u_Note_that_Cython_is_deliberately; + } + } + type_name = __Pyx_PyType_GetFullyQualifiedName(type); + obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj)); + PyErr_Format(PyExc_TypeError, + "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME + ", got " __Pyx_FMT_TYPENAME ")" +#if __PYX_LIMITED_VERSION_HEX < 0x030C0000 + "%s%U" +#endif + , name, type_name, obj_type_name +#if __PYX_LIMITED_VERSION_HEX < 0x030C0000 + , (from_annotation_subclass ? ". " : ""), extra_info +#endif + ); +#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + if (exact == 2 && from_annotation_subclass) { + PyObject *res; + PyObject *vargs[2]; + vargs[0] = PyErr_GetRaisedException(); + vargs[1] = extra_info; + res = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_kp_u_add_note, vargs, 2, NULL); + Py_XDECREF(res); + PyErr_SetRaisedException(vargs[0]); + } +#endif + __Pyx_DECREF_TypeName(type_name); + __Pyx_DECREF_TypeName(obj_type_name); + return 0; +} + +/* IsLittleEndian (used by BufferFormatCheck) */ +static CYTHON_INLINE int __Pyx_Is_Little_Endian(void) +{ + union { + uint32_t u32; + uint8_t u8[4]; + } S; + S.u32 = 0x01020304; + return S.u8[0] == 4; +} + +/* BufferFormatCheck (used by BufferGetAndValidate) */ +static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, + __Pyx_BufFmt_StackElem* stack, + const __Pyx_TypeInfo* type) { + stack[0].field = &ctx->root; + stack[0].parent_offset = 0; + ctx->root.type = type; + ctx->root.name = "buffer dtype"; + ctx->root.offset = 0; + ctx->head = stack; + ctx->head->field = &ctx->root; + ctx->fmt_offset = 0; + ctx->head->parent_offset = 0; + ctx->new_packmode = '@'; + ctx->enc_packmode = '@'; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->is_complex = 0; + ctx->is_valid_array = 0; + ctx->struct_alignment = 0; + while (type->typegroup == 'S') { + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = 0; + type = type->fields->type; + } +} +static int __Pyx_BufFmt_ParseNumber(const char** ts) { + int count; + const char* t = *ts; + if (*t < '0' || *t > '9') { + return -1; + } else { + count = *t++ - '0'; + while (*t >= '0' && *t <= '9') { + count *= 10; + count += *t++ - '0'; + } + } + *ts = t; + return count; +} +static int __Pyx_BufFmt_ExpectNumber(const char **ts) { + int number = __Pyx_BufFmt_ParseNumber(ts); + if (number == -1) + PyErr_Format(PyExc_ValueError,\ + "Does not understand character buffer dtype format string ('%c')", **ts); + return number; +} +static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) { + PyErr_Format(PyExc_ValueError, + "Unexpected format string character: '%c'", ch); +} +static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) { + switch (ch) { + case '?': return "'bool'"; + case 'c': return "'char'"; + case 'b': return "'signed char'"; + case 'B': return "'unsigned char'"; + case 'h': return "'short'"; + case 'H': return "'unsigned short'"; + case 'i': return "'int'"; + case 'I': return "'unsigned int'"; + case 'l': return "'long'"; + case 'L': return "'unsigned long'"; + case 'q': return "'long long'"; + case 'Q': return "'unsigned long long'"; + case 'f': return (is_complex ? "'complex float'" : "'float'"); + case 'd': return (is_complex ? "'complex double'" : "'double'"); + case 'g': return (is_complex ? "'complex long double'" : "'long double'"); + case 'T': return "a struct"; + case 'O': return "Python object"; + case 'P': return "a pointer"; + case 's': case 'p': return "a string"; + case 0: return "end"; + default: return "unparsable format string"; + } +} +static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return 2; + case 'i': case 'I': case 'l': case 'L': return 4; + case 'q': case 'Q': return 8; + case 'f': return (is_complex ? 8 : 4); + case 'd': return (is_complex ? 16 : 8); + case 'g': { + PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g').."); + return 0; + } + case 'O': case 'P': return sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(short); + case 'i': case 'I': return sizeof(int); + case 'l': case 'L': return sizeof(long); + case 'q': case 'Q': return sizeof(PY_LONG_LONG); + case 'f': return sizeof(float) * (is_complex ? 2 : 1); + case 'd': return sizeof(double) * (is_complex ? 2 : 1); + case 'g': return sizeof(long double) * (is_complex ? 2 : 1); + case 'O': case 'P': return sizeof(void*); + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +typedef struct { char c; short x; } __Pyx_st_short; +typedef struct { char c; int x; } __Pyx_st_int; +typedef struct { char c; long x; } __Pyx_st_long; +typedef struct { char c; float x; } __Pyx_st_float; +typedef struct { char c; double x; } __Pyx_st_double; +typedef struct { char c; long double x; } __Pyx_st_longdouble; +typedef struct { char c; void *x; } __Pyx_st_void_p; +typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong; +static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) { + CYTHON_UNUSED_VAR(is_complex); + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long); + case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG); + case 'f': return sizeof(__Pyx_st_float) - sizeof(float); + case 'd': return sizeof(__Pyx_st_double) - sizeof(double); + case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +/* These are for computing the padding at the end of the struct to align + on the first member of the struct. This will probably the same as above, + but we don't have any guarantees. + */ +typedef struct { short x; char c; } __Pyx_pad_short; +typedef struct { int x; char c; } __Pyx_pad_int; +typedef struct { long x; char c; } __Pyx_pad_long; +typedef struct { float x; char c; } __Pyx_pad_float; +typedef struct { double x; char c; } __Pyx_pad_double; +typedef struct { long double x; char c; } __Pyx_pad_longdouble; +typedef struct { void *x; char c; } __Pyx_pad_void_p; +typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong; +static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, int is_complex) { + CYTHON_UNUSED_VAR(is_complex); + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long); + case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG); + case 'f': return sizeof(__Pyx_pad_float) - sizeof(float); + case 'd': return sizeof(__Pyx_pad_double) - sizeof(double); + case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) { + switch (ch) { + case 'c': + return 'H'; + case 'b': case 'h': case 'i': + case 'l': case 'q': case 's': case 'p': + return 'I'; + case '?': case 'B': case 'H': case 'I': case 'L': case 'Q': + return 'U'; + case 'f': case 'd': case 'g': + return (is_complex ? 'C' : 'R'); + case 'O': + return 'O'; + case 'P': + return 'P'; + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { + if (ctx->head == NULL || ctx->head->field == &ctx->root) { + const char* expected; + const char* quote; + if (ctx->head == NULL) { + expected = "end"; + quote = ""; + } else { + expected = ctx->head->field->type->name; + quote = "'"; + } + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected %s%s%s but got %s", + quote, expected, quote, + __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); + } else { + const __Pyx_StructField* field = ctx->head->field; + const __Pyx_StructField* parent = (ctx->head - 1)->field; + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", + field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), + parent->type->name, field->name); + } +} +static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { + char group; + size_t size, offset, arraysize = 1; + if (ctx->enc_type == 0) return 0; + if (ctx->head->field->type->arraysize[0]) { + int i, ndim = 0; + if (ctx->enc_type == 's' || ctx->enc_type == 'p') { + ctx->is_valid_array = ctx->head->field->type->ndim == 1; + ndim = 1; + if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { + PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %zu", + ctx->head->field->type->arraysize[0], ctx->enc_count); + return -1; + } + } + if (!ctx->is_valid_array) { + PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", + ctx->head->field->type->ndim, ndim); + return -1; + } + for (i = 0; i < ctx->head->field->type->ndim; i++) { + arraysize *= ctx->head->field->type->arraysize[i]; + } + ctx->is_valid_array = 0; + ctx->enc_count = 1; + } + group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); + do { + const __Pyx_StructField* field = ctx->head->field; + const __Pyx_TypeInfo* type = field->type; + if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { + size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); + } else { + size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); + } + if (ctx->enc_packmode == '@') { + size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); + size_t align_mod_offset; + if (align_at == 0) return -1; + align_mod_offset = ctx->fmt_offset % align_at; + if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; + if (ctx->struct_alignment == 0) + ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, + ctx->is_complex); + } + if (type->size != size || type->typegroup != group) { + if (type->typegroup == 'C' && type->fields != NULL) { + size_t parent_offset = ctx->head->parent_offset + field->offset; + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = parent_offset; + continue; + } + if ((type->typegroup == 'H' || group == 'H') && type->size == size) { + } else { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + } + offset = ctx->head->parent_offset + field->offset; + if (ctx->fmt_offset != offset) { + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", + (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); + return -1; + } + ctx->fmt_offset += size; + if (arraysize) + ctx->fmt_offset += (arraysize - 1) * size; + --ctx->enc_count; + while (1) { + if (field == &ctx->root) { + ctx->head = NULL; + if (ctx->enc_count != 0) { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + break; + } + ctx->head->field = ++field; + if (field->type == NULL) { + --ctx->head; + field = ctx->head->field; + continue; + } else if (field->type->typegroup == 'S') { + size_t parent_offset = ctx->head->parent_offset + field->offset; + if (field->type->fields->type == NULL) continue; + field = field->type->fields; + ++ctx->head; + ctx->head->field = field; + ctx->head->parent_offset = parent_offset; + break; + } else { + break; + } + } + } while (ctx->enc_count); + ctx->enc_type = 0; + ctx->is_complex = 0; + return 0; +} +static int +__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) +{ + const char *ts = *tsp; + int i = 0, number, ndim; + ++ts; + if (ctx->new_count != 1) { + PyErr_SetString(PyExc_ValueError, + "Cannot handle repeated arrays in format string"); + return -1; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return -1; + ndim = ctx->head->field->type->ndim; + while (*ts && *ts != ')') { + switch (*ts) { + case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; + default: break; + } + number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return -1; + if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) { + PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %d", + ctx->head->field->type->arraysize[i], number); + return -1; + } + if (*ts != ',' && *ts != ')') { + PyErr_Format(PyExc_ValueError, + "Expected a comma in format string, got '%c'", *ts); + return -1; + } + if (*ts == ',') ts++; + i++; + } + if (i != ndim) { + PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", + ctx->head->field->type->ndim, i); + return -1; + } + if (!*ts) { + PyErr_SetString(PyExc_ValueError, + "Unexpected end of format string, expected ')'"); + return -1; + } + ctx->is_valid_array = 1; + ctx->new_count = 1; + *tsp = ++ts; + return 0; +} +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { + int got_Z = 0; + while (1) { + switch(*ts) { + case 0: + if (ctx->enc_type != 0 && ctx->head == NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + if (ctx->head != NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + return ts; + case ' ': + case '\r': + case '\n': + ++ts; + break; + case '<': + if (!__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '>': + case '!': + if (__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '=': + case '@': + case '^': + ctx->new_packmode = *ts++; + break; + case 'T': + { + const char* ts_after_sub; + size_t i, struct_count = ctx->new_count; + size_t struct_alignment = ctx->struct_alignment; + ctx->new_count = 1; + ++ts; + if (*ts != '{') { + PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + ctx->enc_count = 0; + ctx->struct_alignment = 0; + ++ts; + ts_after_sub = ts; + for (i = 0; i != struct_count; ++i) { + ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); + if (!ts_after_sub) return NULL; + } + ts = ts_after_sub; + if (struct_alignment) ctx->struct_alignment = struct_alignment; + } + break; + case '}': + { + size_t alignment = ctx->struct_alignment; + ++ts; + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + if (alignment && ctx->fmt_offset % alignment) { + ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); + } + } + return ts; + case 'x': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->fmt_offset += ctx->new_count; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->enc_packmode = ctx->new_packmode; + ++ts; + break; + case 'Z': + got_Z = 1; + ++ts; + if (*ts != 'f' && *ts != 'd' && *ts != 'g') { + __Pyx_BufFmt_RaiseUnexpectedChar('Z'); + return NULL; + } + CYTHON_FALLTHROUGH; + case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': + case 'l': case 'L': case 'q': case 'Q': + case 'f': case 'd': case 'g': + case 'O': case 'p': + if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) && + (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) { + ctx->enc_count += ctx->new_count; + ctx->new_count = 1; + got_Z = 0; + ++ts; + break; + } + CYTHON_FALLTHROUGH; + case 's': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_count = ctx->new_count; + ctx->enc_packmode = ctx->new_packmode; + ctx->enc_type = *ts; + ctx->is_complex = got_Z; + ++ts; + ctx->new_count = 1; + got_Z = 0; + break; + case ':': + ++ts; + while(*ts != ':') ++ts; + ++ts; + break; + case '(': + if (__pyx_buffmt_parse_array(ctx, &ts) < 0) return NULL; + break; + default: + { + int number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return NULL; + ctx->new_count = (size_t)number; + } + } + } +} + +/* BufferGetAndValidate */ + static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { + if (unlikely(info->buf == NULL)) return; + if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; + PyBuffer_Release(info); + } + static void __Pyx_ZeroBuffer(Py_buffer* buf) { + buf->buf = NULL; + buf->obj = NULL; + buf->strides = __Pyx_zeros; + buf->shape = __Pyx_zeros; + buf->suboffsets = __Pyx_minusones; + } + static int __Pyx__GetBufferAndValidate( + Py_buffer* buf, PyObject* obj, const __Pyx_TypeInfo* dtype, int flags, + int nd, int cast, __Pyx_BufFmt_StackElem* stack) + { + buf->buf = NULL; + if (unlikely(PyObject_GetBuffer(obj, buf, flags) == -1)) { + __Pyx_ZeroBuffer(buf); + return -1; + } + if (unlikely(buf->ndim != nd)) { + PyErr_Format(PyExc_ValueError, + "Buffer has wrong number of dimensions (expected %d, got %d)", + nd, buf->ndim); + goto fail; + } + if (!cast) { + __Pyx_BufFmt_Context ctx; + __Pyx_BufFmt_Init(&ctx, stack, dtype); + if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; + } + if (unlikely((size_t)buf->itemsize != dtype->size)) { + PyErr_Format(PyExc_ValueError, + "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", + buf->itemsize, (buf->itemsize > 1) ? "s" : "", + dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); + goto fail; + } + if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; + return 0; + fail:; + __Pyx_SafeReleaseBuffer(buf); + return -1; + } + +/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */ + #if __PYX_LIMITED_VERSION_HEX < 0x030d0000 + static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) { + __Pyx_PyThreadState_declare + __Pyx_PyThreadState_assign + if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError))) + __Pyx_PyErr_Clear(); + } + #endif + static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) { + PyObject *result; + #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000 + (void) PyObject_GetOptionalAttr(obj, attr_name, &result); + return result; + #else + #if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS + PyTypeObject* tp = Py_TYPE(obj); + if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) { + return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1); + } + #endif + result = __Pyx_PyObject_GetAttrStr(obj, attr_name); + if (unlikely(!result)) { + __Pyx_PyObject_GetAttrStr_ClearAttributeError(); + } + return result; + #endif + } + +/* GetBuiltinName (used by GetModuleGlobalName) */ + static PyObject *__Pyx_GetBuiltinName(PyObject *name) { + PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name); + if (unlikely(!result) && !PyErr_Occurred()) { + PyErr_Format(PyExc_NameError, + "name '%U' is not defined", name); + } + return result; + } + +/* PyDictVersioning (used by GetModuleGlobalName) */ + #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS + static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0; + } + static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) { + PyObject **dictptr = NULL; + Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset; + if (offset) { + #if CYTHON_COMPILING_IN_CPYTHON + dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj); + #else + dictptr = _PyObject_GetDictPtr(obj); + #endif + } + return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0; + } + static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict))) + return 0; + return obj_dict_version == __Pyx_get_object_dict_version(obj); + } + #endif + +/* GetModuleGlobalName */ + #if CYTHON_USE_DICT_VERSIONS + static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value) + #else + static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name) + #endif + { + PyObject *result; + #if CYTHON_COMPILING_IN_LIMITED_API + if (unlikely(!__pyx_m)) { + if (!PyErr_Occurred()) + PyErr_SetNone(PyExc_NameError); + return NULL; + } + result = PyObject_GetAttr(__pyx_m, name); + if (likely(result)) { + return result; + } + PyErr_Clear(); + #elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS + if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear(); + __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version) + if (likely(result)) { + return result; + } + #else + result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash); + __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version) + if (likely(result)) { + return __Pyx_NewRef(result); + } + PyErr_Clear(); + #endif + return __Pyx_GetBuiltinName(name); + } + +/* ExtTypeTest */ + static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { + __Pyx_TypeName obj_type_name; + __Pyx_TypeName type_name; + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + if (likely(__Pyx_TypeCheck(obj, type))) + return 1; + obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj)); + type_name = __Pyx_PyType_GetFullyQualifiedName(type); + PyErr_Format(PyExc_TypeError, + "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME, + obj_type_name, type_name); + __Pyx_DECREF_TypeName(obj_type_name); + __Pyx_DECREF_TypeName(type_name); + return 0; + } + +/* PyObjectFastCallMethod */ + #if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000 + static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) { + PyObject *result; + PyObject *attr = PyObject_GetAttr(args[0], name); + if (unlikely(!attr)) + return NULL; + result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1); + Py_DECREF(attr); + return result; + } + #endif + +/* TypeImport */ + #ifndef __PYX_HAVE_RT_ImportType_3_2_9 + #define __PYX_HAVE_RT_ImportType_3_2_9 + static PyTypeObject *__Pyx_ImportType_3_2_9(PyObject *module, const char *module_name, const char *class_name, + size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_9 check_size) + { + PyObject *result = 0; + Py_ssize_t basicsize; + Py_ssize_t itemsize; + #if defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) + PyObject *py_basicsize; + PyObject *py_itemsize; + #endif + result = PyObject_GetAttrString(module, class_name); + if (!result) + goto bad; + if (!PyType_Check(result)) { + PyErr_Format(PyExc_TypeError, + "%.200s.%.200s is not a type object", + module_name, class_name); + goto bad; + } + #if !( defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) ) + basicsize = ((PyTypeObject *)result)->tp_basicsize; + itemsize = ((PyTypeObject *)result)->tp_itemsize; + #else + if (size == 0) { + return (PyTypeObject *)result; + } + py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); + if (!py_basicsize) + goto bad; + basicsize = PyLong_AsSsize_t(py_basicsize); + Py_DECREF(py_basicsize); + py_basicsize = 0; + if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) + goto bad; + py_itemsize = PyObject_GetAttrString(result, "__itemsize__"); + if (!py_itemsize) + goto bad; + itemsize = PyLong_AsSsize_t(py_itemsize); + Py_DECREF(py_itemsize); + py_itemsize = 0; + if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred()) + goto bad; + #endif + if (itemsize) { + if (size % alignment) { + alignment = size % alignment; + } + if (itemsize < (Py_ssize_t)alignment) + itemsize = (Py_ssize_t)alignment; + } + if ((size_t)(basicsize + itemsize) < size) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize+itemsize); + goto bad; + } + if (check_size == __Pyx_ImportType_CheckSize_Error_3_2_9 && + ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd-%zd from PyObject", + module_name, class_name, size, basicsize, basicsize+itemsize); + goto bad; + } + else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_2_9 && (size_t)basicsize > size) { + if (PyErr_WarnFormat(NULL, 0, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize) < 0) { + goto bad; + } + } + return (PyTypeObject *)result; + bad: + Py_XDECREF(result); + return NULL; + } + #endif + +/* HasAttr (used by ImportImpl) */ + #if __PYX_LIMITED_VERSION_HEX < 0x030d0000 + static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) { + PyObject *r; + if (unlikely(!PyUnicode_Check(n))) { + PyErr_SetString(PyExc_TypeError, + "hasattr(): attribute name must be string"); + return -1; + } + r = __Pyx_PyObject_GetAttrStrNoError(o, n); + if (!r) { + return (unlikely(PyErr_Occurred())) ? -1 : 0; + } else { + Py_DECREF(r); + return 1; + } + } + #endif + +/* ImportImpl (used by Import) */ + static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) { + PyObject *imported_module = PyImport_GetModule(qualname); + if (unlikely(!imported_module)) { + *module = NULL; + if (PyErr_Occurred()) { + return -1; + } + return 0; + } + *module = imported_module; + return 1; + } + static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) { + PyObject *imported_module; + PyObject *top_level_package_name; + Py_ssize_t i; + int status, module_found; + Py_ssize_t dot_index; + module_found = __Pyx__Import_GetModule(qualname, &imported_module); + if (unlikely(!module_found || module_found == -1)) { + *module = NULL; + return module_found; + } + if (imported_names) { + for (i = 0; i < len_imported_names; i++) { + PyObject *imported_name = imported_names[i]; + #if __PYX_LIMITED_VERSION_HEX < 0x030d0000 + int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name); + #else + int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name); + if (unlikely(has_imported_attribute == -1)) goto error; + #endif + if (!has_imported_attribute) { + goto not_found; + } + } + *module = imported_module; + return 1; + } + dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1); + if (dot_index == -1) { + *module = imported_module; + return 1; + } + if (unlikely(dot_index == -2)) goto error; + top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index); + if (unlikely(!top_level_package_name)) goto error; + Py_DECREF(imported_module); + status = __Pyx__Import_GetModule(top_level_package_name, module); + Py_DECREF(top_level_package_name); + return status; + error: + Py_DECREF(imported_module); + *module = NULL; + return -1; + not_found: + Py_DECREF(imported_module); + *module = NULL; + return 0; + } + static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) { + PyObject *module = 0; + PyObject *empty_dict = 0; + PyObject *from_list = 0; + int module_found; + if (!qualname) { + qualname = name; + } + module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module); + if (likely(module_found == 1)) { + return module; + } else if (unlikely(module_found == -1)) { + return NULL; + } + empty_dict = PyDict_New(); + if (unlikely(!empty_dict)) + goto bad; + if (imported_names) { + #if CYTHON_COMPILING_IN_CPYTHON + from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names); + if (unlikely(!from_list)) + goto bad; + #else + from_list = PyList_New(len_imported_names); + if (unlikely(!from_list)) goto bad; + for (Py_ssize_t i=0; i__pyx_d, level); + } + +/* dict_setdefault (used by FetchCommonType) */ + static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) { + PyObject* value; + #if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4) + PyDict_SetDefaultRef(d, key, default_value, &value); + #elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + PyObject *args[] = {d, key, default_value}; + value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL); + #elif CYTHON_COMPILING_IN_LIMITED_API + value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL); + #else + value = PyDict_SetDefault(d, key, default_value); + if (unlikely(!value)) return NULL; + Py_INCREF(value); + #endif + return value; + } + +/* LimitedApiGetTypeDict (used by SetItemOnTypeDict) */ + #if CYTHON_COMPILING_IN_LIMITED_API + static Py_ssize_t __Pyx_GetTypeDictOffset(void) { + PyObject *tp_dictoffset_o; + Py_ssize_t tp_dictoffset; + tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__"); + if (unlikely(!tp_dictoffset_o)) return -1; + tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o); + Py_DECREF(tp_dictoffset_o); + if (unlikely(tp_dictoffset == 0)) { + PyErr_SetString( + PyExc_TypeError, + "'type' doesn't have a dictoffset"); + return -1; + } else if (unlikely(tp_dictoffset < 0)) { + PyErr_SetString( + PyExc_TypeError, + "'type' has an unexpected negative dictoffset. " + "Please report this as Cython bug"); + return -1; + } + return tp_dictoffset; + } + static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) { + static Py_ssize_t tp_dictoffset = 0; + if (unlikely(tp_dictoffset == 0)) { + tp_dictoffset = __Pyx_GetTypeDictOffset(); + if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) { + tp_dictoffset = 0; // try again next time? + return NULL; + } + } + return *(PyObject**)((char*)tp + tp_dictoffset); + } + #endif + +/* SetItemOnTypeDict (used by FixUpExtensionType) */ + static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) { + int result; + PyObject *tp_dict; + #if CYTHON_COMPILING_IN_LIMITED_API + tp_dict = __Pyx_GetTypeDict(tp); + if (unlikely(!tp_dict)) return -1; + #else + tp_dict = tp->tp_dict; + #endif + result = PyDict_SetItem(tp_dict, k, v); + if (likely(!result)) { + PyType_Modified(tp); + if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) { + PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name, (PyObject *) tp, k, NULL); + if (!setNameResult) return -1; + Py_DECREF(setNameResult); + } + } + return result; + } + +/* FixUpExtensionType (used by FetchCommonType) */ + static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) { + #if __PYX_LIMITED_VERSION_HEX > 0x030900B1 + CYTHON_UNUSED_VAR(spec); + CYTHON_UNUSED_VAR(type); + CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict); + #else + const PyType_Slot *slot = spec->slots; + int changed = 0; + #if !CYTHON_COMPILING_IN_LIMITED_API + while (slot && slot->slot && slot->slot != Py_tp_members) + slot++; + if (slot && slot->slot == Py_tp_members) { + #if !CYTHON_COMPILING_IN_CPYTHON + const + #endif // !CYTHON_COMPILING_IN_CPYTHON) + PyMemberDef *memb = (PyMemberDef*) slot->pfunc; + while (memb && memb->name) { + if (memb->name[0] == '_' && memb->name[1] == '_') { + if (strcmp(memb->name, "__weaklistoffset__") == 0) { + assert(memb->type == T_PYSSIZET); + assert(memb->flags == READONLY); + type->tp_weaklistoffset = memb->offset; + changed = 1; + } + else if (strcmp(memb->name, "__dictoffset__") == 0) { + assert(memb->type == T_PYSSIZET); + assert(memb->flags == READONLY); + type->tp_dictoffset = memb->offset; + changed = 1; + } + #if CYTHON_METH_FASTCALL + else if (strcmp(memb->name, "__vectorcalloffset__") == 0) { + assert(memb->type == T_PYSSIZET); + assert(memb->flags == READONLY); + type->tp_vectorcall_offset = memb->offset; + changed = 1; + } + #endif // CYTHON_METH_FASTCALL + #if !CYTHON_COMPILING_IN_PYPY + else if (strcmp(memb->name, "__module__") == 0) { + PyObject *descr; + assert(memb->type == T_OBJECT); + assert(memb->flags == 0 || memb->flags == READONLY); + descr = PyDescr_NewMember(type, memb); + if (unlikely(!descr)) + return -1; + int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr); + Py_DECREF(descr); + if (unlikely(set_item_result < 0)) { + return -1; + } + changed = 1; + } + #endif // !CYTHON_COMPILING_IN_PYPY + } + memb++; + } + } + #endif // !CYTHON_COMPILING_IN_LIMITED_API + #if !CYTHON_COMPILING_IN_PYPY + slot = spec->slots; + while (slot && slot->slot && slot->slot != Py_tp_getset) + slot++; + if (slot && slot->slot == Py_tp_getset) { + PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc; + while (getset && getset->name) { + if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) { + PyObject *descr = PyDescr_NewGetSet(type, getset); + if (unlikely(!descr)) + return -1; + #if CYTHON_COMPILING_IN_LIMITED_API + PyObject *pyname = PyUnicode_FromString(getset->name); + if (unlikely(!pyname)) { + Py_DECREF(descr); + return -1; + } + int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr); + Py_DECREF(pyname); + #else + CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict); + int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr); + #endif + Py_DECREF(descr); + if (unlikely(set_item_result < 0)) { + return -1; + } + changed = 1; + } + ++getset; + } + } + #else + CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict); + #endif // !CYTHON_COMPILING_IN_PYPY + if (changed) + PyType_Modified(type); + #endif // PY_VERSION_HEX > 0x030900B1 + return 0; + } + +/* AddModuleRef (used by FetchSharedCythonModule) */ + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) { + PyObject *module_dict = PyImport_GetModuleDict(); + PyObject *m; + if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) { + return NULL; + } + if (m != NULL && PyModule_Check(m)) { + return m; + } + Py_XDECREF(m); + m = PyModule_NewObject(name); + if (m == NULL) + return NULL; + if (PyDict_CheckExact(module_dict)) { + PyObject *new_m; + (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m); + Py_DECREF(m); + return new_m; + } else { + if (PyObject_SetItem(module_dict, name, m) != 0) { + Py_DECREF(m); + return NULL; + } + return m; + } + } + static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) { + PyObject *py_name = PyUnicode_FromString(name); + if (!py_name) return NULL; + PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name); + Py_DECREF(py_name); + return module; + } + #elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000 + #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name) + #else + static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) { + PyObject *module = PyImport_AddModule(name); + Py_XINCREF(module); + return module; + } + #endif + +/* FetchSharedCythonModule (used by FetchCommonType) */ + static PyObject *__Pyx_FetchSharedCythonABIModule(void) { + return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME); + } + +/* FetchCommonType (used by CommonTypesMetaclass) */ + #if __PYX_LIMITED_VERSION_HEX < 0x030C0000 + static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) { + PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases); + if (result && metaclass) { + PyObject *old_tp = (PyObject*)Py_TYPE(result); + Py_INCREF((PyObject*)metaclass); + #if __PYX_LIMITED_VERSION_HEX >= 0x03090000 + Py_SET_TYPE(result, metaclass); + #else + result->ob_type = metaclass; + #endif + Py_DECREF(old_tp); + } + return result; + } + #else + #define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b) + #endif + static int __Pyx_VerifyCachedType(PyObject *cached_type, + const char *name, + Py_ssize_t expected_basicsize) { + Py_ssize_t basicsize; + if (!PyType_Check(cached_type)) { + PyErr_Format(PyExc_TypeError, + "Shared Cython type %.200s is not a type object", name); + return -1; + } + if (expected_basicsize == 0) { + return 0; // size is inherited, nothing useful to check + } + #if CYTHON_COMPILING_IN_LIMITED_API + PyObject *py_basicsize; + py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__"); + if (unlikely(!py_basicsize)) return -1; + basicsize = PyLong_AsSsize_t(py_basicsize); + Py_DECREF(py_basicsize); + py_basicsize = NULL; + if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1; + #else + basicsize = ((PyTypeObject*) cached_type)->tp_basicsize; + #endif + if (basicsize != expected_basicsize) { + PyErr_Format(PyExc_TypeError, + "Shared Cython type %.200s has the wrong size, try recompiling", + name); + return -1; + } + return 0; + } + static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) { + PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name; + int get_item_ref_result; + const char* object_name = strrchr(spec->name, '.'); + object_name = object_name ? object_name+1 : spec->name; + py_object_name = PyUnicode_FromString(object_name); + if (!py_object_name) return NULL; + abi_module = __Pyx_FetchSharedCythonABIModule(); + if (!abi_module) goto done; + abi_module_dict = PyModule_GetDict(abi_module); + if (!abi_module_dict) goto done; + get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type); + if (get_item_ref_result == 1) { + if (__Pyx_VerifyCachedType( + cached_type, + object_name, + spec->basicsize) < 0) { + goto bad; + } + goto done; + } else if (unlikely(get_item_ref_result == -1)) { + goto bad; + } + cached_type = __Pyx_PyType_FromMetaclass( + metaclass, + CYTHON_USE_MODULE_STATE ? module : abi_module, + spec, bases); + if (unlikely(!cached_type)) goto bad; + if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad; + new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type); + if (unlikely(new_cached_type != cached_type)) { + if (unlikely(!new_cached_type)) goto bad; + Py_DECREF(cached_type); + cached_type = new_cached_type; + if (__Pyx_VerifyCachedType( + cached_type, + object_name, + spec->basicsize) < 0) { + goto bad; + } + goto done; + } else { + Py_DECREF(new_cached_type); + } + done: + Py_XDECREF(abi_module); + Py_DECREF(py_object_name); + assert(cached_type == NULL || PyType_Check(cached_type)); + return (PyTypeObject *) cached_type; + bad: + Py_XDECREF(cached_type); + cached_type = NULL; + goto done; + } + +/* CommonTypesMetaclass (used by CythonFunctionShared) */ + static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) { + return PyUnicode_FromString(__PYX_ABI_MODULE_NAME); + } + #if __PYX_LIMITED_VERSION_HEX < 0x030A0000 + static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) { + PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types"); + return NULL; + } + static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) { + PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable"); + return -1; + } + #endif + static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = { + {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL}, + {0, 0, 0, 0, 0} + }; + static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = { + {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset}, + #if __PYX_LIMITED_VERSION_HEX < 0x030A0000 + {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call}, + {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call}, + {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr}, + #endif + {0, 0} + }; + static PyType_Spec __pyx_CommonTypesMetaclass_spec = { + __PYX_TYPE_MODULE_PREFIX "_common_types_metatype", + 0, + 0, + Py_TPFLAGS_IMMUTABLETYPE | + Py_TPFLAGS_DISALLOW_INSTANTIATION | + Py_TPFLAGS_DEFAULT, + __pyx_CommonTypesMetaclass_slots + }; + static int __pyx_CommonTypesMetaclass_init(PyObject *module) { + __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module); + PyObject *bases = PyTuple_Pack(1, &PyType_Type); + if (unlikely(!bases)) { + return -1; + } + mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases); + Py_DECREF(bases); + if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) { + return -1; + } + return 0; + } + +/* CallTypeTraverse (used by CythonFunctionShared) */ + #if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000) + #else + static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) { + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000 + if (__Pyx_get_runtime_version() < 0x03090000) return 0; + #endif + if (!always_call) { + PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*); + unsigned long flags = PyType_GetFlags(base); + if (flags & Py_TPFLAGS_HEAPTYPE) { + return 0; + } + } + Py_VISIT((PyObject*)Py_TYPE(o)); + return 0; + } + #endif + +/* PyMethodNew (used by CythonFunctionShared) */ + #if CYTHON_COMPILING_IN_LIMITED_API + static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) { + PyObject *result; + CYTHON_UNUSED_VAR(typ); + if (!self) + return __Pyx_NewRef(func); + #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000 + { + PyObject *args[] = {func, self}; + result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL); + } + #else + result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL); + #endif + return result; + } + #else + static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) { + CYTHON_UNUSED_VAR(typ); + if (!self) + return __Pyx_NewRef(func); + return PyMethod_New(func, self); + } + #endif + +/* PyVectorcallFastCallDict (used by CythonFunctionShared) */ + #if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL + static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw) + { + PyObject *res = NULL; + PyObject *kwnames; + PyObject **newargs; + PyObject **kwvalues; + Py_ssize_t i; + #if CYTHON_AVOID_BORROWED_REFS + PyObject *pos; + #else + Py_ssize_t pos; + #endif + size_t j; + PyObject *key, *value; + unsigned long keys_are_strings; + #if !CYTHON_ASSUME_SAFE_SIZE + Py_ssize_t nkw = PyDict_Size(kw); + if (unlikely(nkw == -1)) return NULL; + #else + Py_ssize_t nkw = PyDict_GET_SIZE(kw); + #endif + newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0])); + if (unlikely(newargs == NULL)) { + PyErr_NoMemory(); + return NULL; + } + for (j = 0; j < nargs; j++) newargs[j] = args[j]; + kwnames = PyTuple_New(nkw); + if (unlikely(kwnames == NULL)) { + PyMem_Free(newargs); + return NULL; + } + kwvalues = newargs + nargs; + pos = 0; + i = 0; + keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS; + while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) { + keys_are_strings &= + #if CYTHON_COMPILING_IN_LIMITED_API + PyType_GetFlags(Py_TYPE(key)); + #else + Py_TYPE(key)->tp_flags; + #endif + #if !CYTHON_ASSUME_SAFE_MACROS + if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup; + #else + PyTuple_SET_ITEM(kwnames, i, key); + #endif + kwvalues[i] = value; + i++; + } + if (unlikely(!keys_are_strings)) { + PyErr_SetString(PyExc_TypeError, "keywords must be strings"); + goto cleanup; + } + res = vc(func, newargs, nargs, kwnames); + cleanup: + #if CYTHON_AVOID_BORROWED_REFS + Py_DECREF(pos); + #endif + Py_DECREF(kwnames); + for (i = 0; i < nkw; i++) + Py_DECREF(kwvalues[i]); + PyMem_Free(newargs); + return res; + } + static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw) + { + Py_ssize_t kw_size = + likely(kw == NULL) ? + 0 : + #if !CYTHON_ASSUME_SAFE_SIZE + PyDict_Size(kw); + #else + PyDict_GET_SIZE(kw); + #endif + if (kw_size == 0) { + return vc(func, args, nargs, NULL); + } + #if !CYTHON_ASSUME_SAFE_SIZE + else if (unlikely(kw_size == -1)) { + return NULL; + } + #endif + return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw); + } + #endif + +/* CythonFunctionShared (used by CythonFunction) */ + #if CYTHON_COMPILING_IN_LIMITED_API + static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) { + if (__Pyx_CyFunction_Check(func)) { + return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc; + } else if (PyCFunction_Check(func)) { + return PyCFunction_GetFunction(func) == (PyCFunction) cfunc; + } + return 0; + } + static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) { + if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) { + int result; + PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func); + if (unlikely(!newFunc)) { + PyErr_Clear(); // It's only an optimization, so don't throw an error + return 0; + } + result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc); + Py_DECREF(newFunc); + return result; + } + return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc); + } + #else + static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) { + if (PyMethod_Check(func)) { + func = PyMethod_GET_FUNCTION(func); + } + return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc; + } + #endif + static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) { + #if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API + __Pyx_Py_XDECREF_SET( + __Pyx_CyFunction_GetClassObj(f), + ((classobj) ? __Pyx_NewRef(classobj) : NULL)); + #else + __Pyx_Py_XDECREF_SET( + ((PyCMethodObject *) (f))->mm_class, + (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL)); + #endif + } + static PyObject * + __Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op) + { + if (unlikely(op->func_doc == NULL)) { + #if CYTHON_COMPILING_IN_LIMITED_API + op->func_doc = PyObject_GetAttrString(op->func, "__doc__"); + if (unlikely(!op->func_doc)) return NULL; + #else + if (((PyCFunctionObject*)op)->m_ml->ml_doc) { + op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc); + if (unlikely(op->func_doc == NULL)) + return NULL; + } else { + Py_INCREF(Py_None); + return Py_None; + } + #endif + } + Py_INCREF(op->func_doc); + return op->func_doc; + } + static PyObject * + __Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) { + PyObject *result; + CYTHON_UNUSED_VAR(closure); + __Pyx_BEGIN_CRITICAL_SECTION(op); + result = __Pyx_CyFunction_get_doc_locked(op); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static int + __Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context) + { + CYTHON_UNUSED_VAR(context); + if (value == NULL) { + value = Py_None; + } + Py_INCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->func_doc, value); + __Pyx_END_CRITICAL_SECTION(); + return 0; + } + static PyObject * + __Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op) + { + if (unlikely(op->func_name == NULL)) { + #if CYTHON_COMPILING_IN_LIMITED_API + op->func_name = PyObject_GetAttrString(op->func, "__name__"); + #else + op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name); + #endif + if (unlikely(op->func_name == NULL)) + return NULL; + } + Py_INCREF(op->func_name); + return op->func_name; + } + static PyObject * + __Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context) + { + PyObject *result = NULL; + CYTHON_UNUSED_VAR(context); + __Pyx_BEGIN_CRITICAL_SECTION(op); + result = __Pyx_CyFunction_get_name_locked(op); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static int + __Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context) + { + CYTHON_UNUSED_VAR(context); + if (unlikely(value == NULL || !PyUnicode_Check(value))) { + PyErr_SetString(PyExc_TypeError, + "__name__ must be set to a string object"); + return -1; + } + Py_INCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->func_name, value); + __Pyx_END_CRITICAL_SECTION(); + return 0; + } + static PyObject * + __Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context) + { + CYTHON_UNUSED_VAR(context); + PyObject *result; + __Pyx_BEGIN_CRITICAL_SECTION(op); + Py_INCREF(op->func_qualname); + result = op->func_qualname; + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static int + __Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context) + { + CYTHON_UNUSED_VAR(context); + if (unlikely(value == NULL || !PyUnicode_Check(value))) { + PyErr_SetString(PyExc_TypeError, + "__qualname__ must be set to a string object"); + return -1; + } + Py_INCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->func_qualname, value); + __Pyx_END_CRITICAL_SECTION(); + return 0; + } + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000 + static PyObject * + __Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context) + { + CYTHON_UNUSED_VAR(context); + if (unlikely(op->func_dict == NULL)) { + op->func_dict = PyDict_New(); + if (unlikely(op->func_dict == NULL)) + return NULL; + } + Py_INCREF(op->func_dict); + return op->func_dict; + } + #endif + static PyObject * + __Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context) + { + CYTHON_UNUSED_VAR(context); + Py_INCREF(op->func_globals); + return op->func_globals; + } + static PyObject * + __Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context) + { + CYTHON_UNUSED_VAR(op); + CYTHON_UNUSED_VAR(context); + Py_INCREF(Py_None); + return Py_None; + } + static PyObject * + __Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context) + { + PyObject* result = (op->func_code) ? op->func_code : Py_None; + CYTHON_UNUSED_VAR(context); + Py_INCREF(result); + return result; + } + static int + __Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) { + int result = 0; + PyObject *res = op->defaults_getter((PyObject *) op); + if (unlikely(!res)) + return -1; + #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS + op->defaults_tuple = PyTuple_GET_ITEM(res, 0); + Py_INCREF(op->defaults_tuple); + op->defaults_kwdict = PyTuple_GET_ITEM(res, 1); + Py_INCREF(op->defaults_kwdict); + #else + op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0); + if (unlikely(!op->defaults_tuple)) result = -1; + else { + op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1); + if (unlikely(!op->defaults_kwdict)) result = -1; + } + #endif + Py_DECREF(res); + return result; + } + static int + __Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) { + CYTHON_UNUSED_VAR(context); + if (!value) { + value = Py_None; + } else if (unlikely(value != Py_None && !PyTuple_Check(value))) { + PyErr_SetString(PyExc_TypeError, + "__defaults__ must be set to a tuple object"); + return -1; + } + PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not " + "currently affect the values used in function calls", 1); + Py_INCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->defaults_tuple, value); + __Pyx_END_CRITICAL_SECTION(); + return 0; + } + static PyObject * + __Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) { + PyObject* result = op->defaults_tuple; + if (unlikely(!result)) { + if (op->defaults_getter) { + if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL; + result = op->defaults_tuple; + } else { + result = Py_None; + } + } + Py_INCREF(result); + return result; + } + static PyObject * + __Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) { + PyObject* result = NULL; + CYTHON_UNUSED_VAR(context); + __Pyx_BEGIN_CRITICAL_SECTION(op); + result = __Pyx_CyFunction_get_defaults_locked(op); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static int + __Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) { + CYTHON_UNUSED_VAR(context); + if (!value) { + value = Py_None; + } else if (unlikely(value != Py_None && !PyDict_Check(value))) { + PyErr_SetString(PyExc_TypeError, + "__kwdefaults__ must be set to a dict object"); + return -1; + } + PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not " + "currently affect the values used in function calls", 1); + Py_INCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value); + __Pyx_END_CRITICAL_SECTION(); + return 0; + } + static PyObject * + __Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) { + PyObject* result = op->defaults_kwdict; + if (unlikely(!result)) { + if (op->defaults_getter) { + if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL; + result = op->defaults_kwdict; + } else { + result = Py_None; + } + } + Py_INCREF(result); + return result; + } + static PyObject * + __Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) { + PyObject* result; + CYTHON_UNUSED_VAR(context); + __Pyx_BEGIN_CRITICAL_SECTION(op); + result = __Pyx_CyFunction_get_kwdefaults_locked(op); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static int __Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value); + static int + __Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) { + CYTHON_UNUSED_VAR(context); + if (!value || value == Py_None) { + value = NULL; + } else if (unlikely(!PyDict_Check(value))) { + PyErr_SetString(PyExc_TypeError, + "__annotations__ must be set to a dict object"); + return -1; + } + Py_XINCREF(value); + __Pyx_BEGIN_CRITICAL_SECTION(op); + __Pyx_Py_XDECREF_SET(op->func_annotations, value); + __Pyx_END_CRITICAL_SECTION(); + if (unlikely(__Pyx_CyFunction_set_annotate_in_dict_if_exists((PyObject*) op, Py_None) < 0)) return -1; + return 0; + } + static int + __Pyx_CyFunction_get_dict_if_exists(PyObject *op_in, PyObject **dict) { + /* Return 1 if the function dict exists, 0 otherwise. This cannot fail: + * _PyObject_GetDictPtr() may clear errors internally, but never reports them. */ + #if CYTHON_COMPILING_IN_PYPY + *dict = PyObject_GenericGetDict(op_in, NULL); + #elif CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030C0000 + *dict = ((__pyx_CyFunctionObject*) op_in)->func_dict; + #else + PyObject **dictptr = _PyObject_GetDictPtr(op_in); + *dict = likely(dictptr) ? *dictptr : NULL; + #endif + return *dict ? 1 : 0; + } + static int + __Pyx_CyFunction_get_annotate_from_dict_if_exists(PyObject *op_in, PyObject **annotate) { + PyObject *dict; + int dict_found; + *annotate = NULL; + dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict); + if (!dict_found) return 0; + return __Pyx_PyDict_GetItemRef(dict, __pyx_mstate_global->__pyx_n_u_annotate, annotate); + } + static int + __Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value) { + PyObject *dict; + int dict_found; + dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict); + if (!dict_found) return 0; + return PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value); + } + static int + __Pyx_CyFunction_set_annotate_in_dict(PyObject *op_in, PyObject *value) { + PyObject *dict; + int result; + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000 + dict = __Pyx_CyFunction_get_dict((__pyx_CyFunctionObject*) op_in, NULL); + #else + dict = PyObject_GenericGetDict(op_in, NULL); + #endif + if (unlikely(!dict)) return -1; + result = PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value); + Py_DECREF(dict); + return result; + } + static PyObject * + __Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) { + PyObject* result = op->func_annotations; + if (unlikely(!result)) { + result = PyDict_New(); + if (unlikely(!result)) return NULL; + op->func_annotations = result; + } + Py_INCREF(result); + return result; + } + static PyObject * + __Pyx_CyFunction_get_annotations(PyObject *op_in, void *context) { + PyObject *annotate = NULL; + PyObject *result = NULL; + __pyx_CyFunctionObject *op = (__pyx_CyFunctionObject*) op_in; + CYTHON_UNUSED_VAR(context); + __Pyx_BEGIN_CRITICAL_SECTION(op_in); + result = __Pyx_XNewRef(op->func_annotations); + __Pyx_END_CRITICAL_SECTION(); + if (result) return result; + if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL; + if (!annotate || annotate == Py_None) { + Py_XDECREF(annotate); + __Pyx_BEGIN_CRITICAL_SECTION(op_in); + result = __Pyx_CyFunction_get_annotations_locked(op); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + PyObject *format = PyLong_FromLong(1L); // annotationlib.Format.VALUE + if (likely(format)) { + result = __Pyx_PyObject_CallOneArg(annotate, format); + Py_DECREF(format); + } + Py_DECREF(annotate); + if (unlikely(!result)) return NULL; + if (unlikely(!PyDict_Check(result))) { + PyErr_SetString(PyExc_TypeError, "__annotate__ must return a dict"); + Py_DECREF(result); + return NULL; + } + __Pyx_BEGIN_CRITICAL_SECTION(op_in); + __Pyx_Py_XDECREF_SET(op->func_annotations, __Pyx_NewRef(result)); + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static PyObject *__Pyx_CyFunction_annotate_impl(PyObject *self, PyObject *args) { + CYTHON_UNUSED_VAR(args); + if (unlikely(!self)) { + PyErr_SetString(PyExc_SystemError, "cython __annotate__ called without 'self' argument"); + } + Py_XINCREF(self); + return self; + } + static PyMethodDef __Pyx_CyFunction_annotate_method = { + "__annotate__", + (PyCFunction)(void (*)(void))__Pyx_CyFunction_annotate_impl, + METH_VARARGS, + "Placeholder __annotate__ function to allow 'functools.wraps' to work " + "on Cython functions." + }; + static PyObject * + __Pyx_CyFunction_get_annotate(PyObject *op_in, void *context) { + PyObject *annotate = NULL; + CYTHON_UNUSED_VAR(context); + if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL; + if (annotate) return annotate; + PyObject *annotations = __Pyx_CyFunction_get_annotations(op_in, NULL); + if (unlikely(!annotations)) return NULL; + PyObject *method = PyCFunction_New( + &__Pyx_CyFunction_annotate_method, + annotations); + Py_DECREF(annotations); + return method; + } + static int + __Pyx_CyFunction_set_annotate(PyObject *op_in, PyObject* value, void *context) { + CYTHON_UNUSED_VAR(context); + if (value == NULL) { + PyErr_SetString(PyExc_TypeError, "__annotate__ cannot be deleted"); + return -1; + } + if (unlikely(value != Py_None && !PyCallable_Check(value))) { + PyErr_SetString(PyExc_TypeError, "__annotate__ must be callable or None"); + return -1; + } + if (value != Py_None) { + __pyx_CyFunctionObject *op = (__pyx_CyFunctionObject*) op_in; + __Pyx_BEGIN_CRITICAL_SECTION(op_in); + Py_CLEAR(op->func_annotations); + __Pyx_END_CRITICAL_SECTION(); + } + return __Pyx_CyFunction_set_annotate_in_dict(op_in, value); + } + static PyObject * + __Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) { + int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE; + if (is_coroutine) { + PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine; + fromlist = PyList_New(1); + if (unlikely(!fromlist)) return NULL; + Py_INCREF(marker); + #if CYTHON_ASSUME_SAFE_MACROS + PyList_SET_ITEM(fromlist, 0, marker); + #else + if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) { + Py_DECREF(fromlist); + return NULL; + } + #endif + module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0); + Py_DECREF(fromlist); + if (unlikely(!module)) goto ignore; + is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker); + Py_DECREF(module); + if (likely(is_coroutine_value)) { + return is_coroutine_value; + } + ignore: + PyErr_Clear(); + } + return __Pyx_PyBool_FromLong(is_coroutine); + } + static PyObject * + __Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) { + PyObject *result; + CYTHON_UNUSED_VAR(context); + if (op->func_is_coroutine) { + return __Pyx_NewRef(op->func_is_coroutine); + } + result = __Pyx_CyFunction_get_is_coroutine_value(op); + if (unlikely(!result)) + return NULL; + __Pyx_BEGIN_CRITICAL_SECTION(op); + if (op->func_is_coroutine) { + Py_DECREF(result); + result = __Pyx_NewRef(op->func_is_coroutine); + } else { + op->func_is_coroutine = __Pyx_NewRef(result); + } + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) { + #if CYTHON_COMPILING_IN_LIMITED_API + PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL); + if (!py_name) return; + PyErr_Format(PyExc_TypeError, + "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)", + py_name, message, size); + Py_DECREF(py_name); + #else + const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name; + PyErr_Format(PyExc_TypeError, + "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)", + name, message, size); + #endif + } + static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) { + #if CYTHON_COMPILING_IN_LIMITED_API + PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL); + if (!py_name) return; + PyErr_Format(PyExc_TypeError, + "%.200S() %s", + py_name, message); + Py_DECREF(py_name); + #else + const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name; + PyErr_Format(PyExc_TypeError, + "%.200s() %s", + name, message); + #endif + } + #if CYTHON_COMPILING_IN_LIMITED_API + static PyObject * + __Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) { + CYTHON_UNUSED_VAR(context); + return PyObject_GetAttrString(op->func, "__module__"); + } + static int + __Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) { + CYTHON_UNUSED_VAR(context); + return PyObject_SetAttrString(op->func, "__module__", value); + } + #endif + static PyGetSetDef __pyx_CyFunction_getsets[] = { + {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0}, + {"__doc__", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0}, + {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0}, + {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0}, + {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0}, + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000 + {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0}, + {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0}, + #else + {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0}, + {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0}, + #endif + {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0}, + {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0}, + {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0}, + {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0}, + {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0}, + {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0}, + {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0}, + {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0}, + {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0}, + {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0}, + {"__annotate__", (getter)__Pyx_CyFunction_get_annotate, (setter)__Pyx_CyFunction_set_annotate, 0, 0}, + {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0}, + #if CYTHON_COMPILING_IN_LIMITED_API + {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0}, + #endif + {0, 0, 0, 0, 0} + }; + static PyMemberDef __pyx_CyFunction_members[] = { + #if !CYTHON_COMPILING_IN_LIMITED_API + {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0}, + #endif + #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API + {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0}, + #endif + #if CYTHON_METH_FASTCALL + #if CYTHON_COMPILING_IN_LIMITED_API + {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0}, + #else + {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0}, + #endif + #if CYTHON_COMPILING_IN_LIMITED_API + {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0}, + #else + {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0}, + #endif + #endif + {0, 0, 0, 0, 0} + }; + static PyObject * + __Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args) + { + PyObject *result = NULL; + CYTHON_UNUSED_VAR(args); + __Pyx_BEGIN_CRITICAL_SECTION(m); + Py_INCREF(m->func_qualname); + result = m->func_qualname; + __Pyx_END_CRITICAL_SECTION(); + return result; + } + static PyMethodDef __pyx_CyFunction_methods[] = { + {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0}, + {0, 0, 0, 0} + }; + #if CYTHON_COMPILING_IN_LIMITED_API + #define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist) + #else + #define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist) + #endif + static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname, + PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) { + #if !CYTHON_COMPILING_IN_LIMITED_API + PyCFunctionObject *cf = (PyCFunctionObject*) op; + #endif + if (unlikely(op == NULL)) + return NULL; + #if CYTHON_COMPILING_IN_LIMITED_API + op->func = PyCFunction_NewEx(ml, (PyObject*)op, module); + if (unlikely(!op->func)) return NULL; + #endif + op->flags = flags; + __Pyx_CyFunction_weakreflist(op) = NULL; + #if !CYTHON_COMPILING_IN_LIMITED_API + cf->m_ml = ml; + cf->m_self = (PyObject *) op; + #endif + Py_XINCREF(closure); + op->func_closure = closure; + #if !CYTHON_COMPILING_IN_LIMITED_API + Py_XINCREF(module); + cf->m_module = module; + #endif + #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API + op->func_dict = NULL; + #endif + op->func_name = NULL; + Py_INCREF(qualname); + op->func_qualname = qualname; + op->func_doc = NULL; + #if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API + op->func_classobj = NULL; + #else + ((PyCMethodObject*)op)->mm_class = NULL; + #endif + op->func_globals = globals; + Py_INCREF(op->func_globals); + Py_XINCREF(code); + op->func_code = code; + op->defaults = NULL; + op->defaults_tuple = NULL; + op->defaults_kwdict = NULL; + op->defaults_getter = NULL; + op->func_annotations = NULL; + op->func_is_coroutine = NULL; + #if CYTHON_METH_FASTCALL + switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) { + case METH_NOARGS: + __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS; + break; + case METH_O: + __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O; + break; + case METH_METHOD | METH_FASTCALL | METH_KEYWORDS: + __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD; + break; + case METH_FASTCALL | METH_KEYWORDS: + __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS; + break; + case METH_VARARGS | METH_KEYWORDS: + __Pyx_CyFunction_func_vectorcall(op) = NULL; + break; + default: + PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction"); + Py_DECREF(op); + return NULL; + } + #endif + return (PyObject *) op; + } + static int + __Pyx_CyFunction_clear(__pyx_CyFunctionObject *m) + { + Py_CLEAR(m->func_closure); + #if CYTHON_COMPILING_IN_LIMITED_API + Py_CLEAR(m->func); + #else + Py_CLEAR(((PyCFunctionObject*)m)->m_module); + #endif + #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API + Py_CLEAR(m->func_dict); + #elif PY_VERSION_HEX < 0x030d0000 + _PyObject_ClearManagedDict((PyObject*)m); + #else + PyObject_ClearManagedDict((PyObject*)m); + #endif + Py_CLEAR(m->func_name); + Py_CLEAR(m->func_qualname); + Py_CLEAR(m->func_doc); + Py_CLEAR(m->func_globals); + Py_CLEAR(m->func_code); + #if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API + Py_CLEAR(__Pyx_CyFunction_GetClassObj(m)); + #else + { + PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class; + ((PyCMethodObject *) (m))->mm_class = NULL; + Py_XDECREF(cls); + } + #endif + Py_CLEAR(m->defaults_tuple); + Py_CLEAR(m->defaults_kwdict); + Py_CLEAR(m->func_annotations); + Py_CLEAR(m->func_is_coroutine); + Py_CLEAR(m->defaults); + return 0; + } + static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m) + { + if (__Pyx_CyFunction_weakreflist(m) != NULL) + PyObject_ClearWeakRefs((PyObject *) m); + __Pyx_CyFunction_clear(m); + __Pyx_PyHeapTypeObject_GC_Del(m); + } + static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m) + { + PyObject_GC_UnTrack(m); + __Pyx__CyFunction_dealloc(m); + } + static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg) + { + { + int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg); + if (e) return e; + } + Py_VISIT(m->func_closure); + #if CYTHON_COMPILING_IN_LIMITED_API + Py_VISIT(m->func); + #else + Py_VISIT(((PyCFunctionObject*)m)->m_module); + #endif + #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API + Py_VISIT(m->func_dict); + #else + { + int e = + #if PY_VERSION_HEX < 0x030d0000 + _PyObject_VisitManagedDict + #else + PyObject_VisitManagedDict + #endif + ((PyObject*)m, visit, arg); + if (e != 0) return e; + } + #endif + __Pyx_VISIT_CONST(m->func_name); + __Pyx_VISIT_CONST(m->func_qualname); + Py_VISIT(m->func_doc); + Py_VISIT(m->func_globals); + __Pyx_VISIT_CONST(m->func_code); + Py_VISIT(__Pyx_CyFunction_GetClassObj(m)); + Py_VISIT(m->defaults_tuple); + Py_VISIT(m->defaults_kwdict); + Py_VISIT(m->func_annotations); + Py_VISIT(m->func_is_coroutine); + Py_VISIT(m->defaults); + return 0; + } + static PyObject* + __Pyx_CyFunction_repr(__pyx_CyFunctionObject *op) + { + PyObject *repr; + __Pyx_BEGIN_CRITICAL_SECTION(op); + repr = PyUnicode_FromFormat("", + op->func_qualname, (void *)op); + __Pyx_END_CRITICAL_SECTION(); + return repr; + } + static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) { + #if CYTHON_COMPILING_IN_LIMITED_API + PyObject *f = ((__pyx_CyFunctionObject*)func)->func; + PyCFunction meth; + int flags; + meth = PyCFunction_GetFunction(f); + if (unlikely(!meth)) return NULL; + flags = PyCFunction_GetFlags(f); + if (unlikely(flags < 0)) return NULL; + #else + PyCFunctionObject* f = (PyCFunctionObject*)func; + PyCFunction meth = f->m_ml->ml_meth; + int flags = f->m_ml->ml_flags; + #endif + Py_ssize_t size; + switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) { + case METH_VARARGS: + if (likely(kw == NULL || PyDict_Size(kw) == 0)) + return (*meth)(self, arg); + break; + case METH_VARARGS | METH_KEYWORDS: + return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw); + case METH_NOARGS: + if (likely(kw == NULL || PyDict_Size(kw) == 0)) { + #if CYTHON_ASSUME_SAFE_SIZE + size = PyTuple_GET_SIZE(arg); + #else + size = PyTuple_Size(arg); + if (unlikely(size < 0)) return NULL; + #endif + if (likely(size == 0)) + return (*meth)(self, NULL); + __Pyx_CyFunction_raise_argument_count_error( + (__pyx_CyFunctionObject*)func, + "takes no arguments", size); + return NULL; + } + break; + case METH_O: + if (likely(kw == NULL || PyDict_Size(kw) == 0)) { + #if CYTHON_ASSUME_SAFE_SIZE + size = PyTuple_GET_SIZE(arg); + #else + size = PyTuple_Size(arg); + if (unlikely(size < 0)) return NULL; + #endif + if (likely(size == 1)) { + PyObject *result, *arg0; + #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS + arg0 = PyTuple_GET_ITEM(arg, 0); + #else + arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL; + #endif + result = (*meth)(self, arg0); + #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS) + Py_DECREF(arg0); + #endif + return result; + } + __Pyx_CyFunction_raise_argument_count_error( + (__pyx_CyFunctionObject*)func, + "takes exactly one argument", size); + return NULL; + } + break; + default: + PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction"); + return NULL; + } + __Pyx_CyFunction_raise_type_error( + (__pyx_CyFunctionObject*)func, "takes no keyword arguments"); + return NULL; + } + static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) { + PyObject *self, *result; + #if CYTHON_COMPILING_IN_LIMITED_API + self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func); + if (unlikely(!self) && PyErr_Occurred()) return NULL; + #else + self = ((PyCFunctionObject*)func)->m_self; + #endif + result = __Pyx_CyFunction_CallMethod(func, self, arg, kw); + return result; + } + static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) { + PyObject *result; + __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func; + #if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL + __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc); + if (vc) { + #if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE + return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw); + #else + (void) &__Pyx_PyVectorcall_FastCallDict; + return PyVectorcall_Call(func, args, kw); + #endif + } + #endif + if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) { + Py_ssize_t argc; + PyObject *new_args; + PyObject *self; + #if CYTHON_ASSUME_SAFE_SIZE + argc = PyTuple_GET_SIZE(args); + #else + argc = PyTuple_Size(args); + if (unlikely(argc < 0)) return NULL; + #endif + new_args = PyTuple_GetSlice(args, 1, argc); + if (unlikely(!new_args)) + return NULL; + self = PyTuple_GetItem(args, 0); + if (unlikely(!self)) { + Py_DECREF(new_args); + PyErr_Format(PyExc_TypeError, + "unbound method %.200S() needs an argument", + cyfunc->func_qualname); + return NULL; + } + result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw); + Py_DECREF(new_args); + } else { + result = __Pyx_CyFunction_Call(func, args, kw); + } + return result; + } + #if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL + static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames) + { + int ret = 0; + if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) { + if (unlikely(nargs < 1)) { + __Pyx_CyFunction_raise_type_error( + cyfunc, "needs an argument"); + return -1; + } + ret = 1; + } + if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) { + __Pyx_CyFunction_raise_type_error( + cyfunc, "takes no keyword arguments"); + return -1; + } + return ret; + } + static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames) + { + __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func; + Py_ssize_t nargs = PyVectorcall_NARGS(nargsf); + PyObject *self; + #if CYTHON_COMPILING_IN_LIMITED_API + PyCFunction meth = PyCFunction_GetFunction(cyfunc->func); + if (unlikely(!meth)) return NULL; + #else + PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth; + #endif + switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) { + case 1: + self = args[0]; + args += 1; + nargs -= 1; + break; + case 0: + #if CYTHON_COMPILING_IN_LIMITED_API + self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func); + if (unlikely(!self) && PyErr_Occurred()) return NULL; + #else + self = ((PyCFunctionObject*)cyfunc)->m_self; + #endif + break; + default: + return NULL; + } + if (unlikely(nargs != 0)) { + __Pyx_CyFunction_raise_argument_count_error( + cyfunc, "takes no arguments", nargs); + return NULL; + } + return meth(self, NULL); + } + static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames) + { + __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func; + Py_ssize_t nargs = PyVectorcall_NARGS(nargsf); + PyObject *self; + #if CYTHON_COMPILING_IN_LIMITED_API + PyCFunction meth = PyCFunction_GetFunction(cyfunc->func); + if (unlikely(!meth)) return NULL; + #else + PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth; + #endif + switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) { + case 1: + self = args[0]; + args += 1; + nargs -= 1; + break; + case 0: + #if CYTHON_COMPILING_IN_LIMITED_API + self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func); + if (unlikely(!self) && PyErr_Occurred()) return NULL; + #else + self = ((PyCFunctionObject*)cyfunc)->m_self; + #endif + break; + default: + return NULL; + } + if (unlikely(nargs != 1)) { + __Pyx_CyFunction_raise_argument_count_error( + cyfunc, "takes exactly one argument", nargs); + return NULL; + } + return meth(self, args[0]); + } + static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames) + { + __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func; + Py_ssize_t nargs = PyVectorcall_NARGS(nargsf); + PyObject *self; + #if CYTHON_COMPILING_IN_LIMITED_API + PyCFunction meth = PyCFunction_GetFunction(cyfunc->func); + if (unlikely(!meth)) return NULL; + #else + PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth; + #endif + switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) { + case 1: + self = args[0]; + args += 1; + nargs -= 1; + break; + case 0: + #if CYTHON_COMPILING_IN_LIMITED_API + self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func); + if (unlikely(!self) && PyErr_Occurred()) return NULL; + #else + self = ((PyCFunctionObject*)cyfunc)->m_self; + #endif + break; + default: + return NULL; + } + return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames); + } + static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames) + { + __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func; + PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc); + Py_ssize_t nargs = PyVectorcall_NARGS(nargsf); + PyObject *self; + #if CYTHON_COMPILING_IN_LIMITED_API + PyCFunction meth = PyCFunction_GetFunction(cyfunc->func); + if (unlikely(!meth)) return NULL; + #else + PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth; + #endif + switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) { + case 1: + self = args[0]; + args += 1; + nargs -= 1; + break; + case 0: + #if CYTHON_COMPILING_IN_LIMITED_API + self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func); + if (unlikely(!self) && PyErr_Occurred()) return NULL; + #else + self = ((PyCFunctionObject*)cyfunc)->m_self; + #endif + break; + default: + return NULL; + } + #if PY_VERSION_HEX < 0x030e00A6 + size_t nargs_value = (size_t) nargs; + #else + Py_ssize_t nargs_value = nargs; + #endif + return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames); + } + #endif + static PyType_Slot __pyx_CyFunctionType_slots[] = { + {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc}, + {Py_tp_repr, (void *)__Pyx_CyFunction_repr}, + {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod}, + {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse}, + {Py_tp_clear, (void *)__Pyx_CyFunction_clear}, + {Py_tp_methods, (void *)__pyx_CyFunction_methods}, + {Py_tp_members, (void *)__pyx_CyFunction_members}, + {Py_tp_getset, (void *)__pyx_CyFunction_getsets}, + {Py_tp_descr_get, (void *)__Pyx_PyMethod_New}, + {0, 0}, + }; + static PyType_Spec __pyx_CyFunctionType_spec = { + __PYX_TYPE_MODULE_PREFIX "cython_function_or_method", + sizeof(__pyx_CyFunctionObject), + 0, + #ifdef Py_TPFLAGS_METHOD_DESCRIPTOR + Py_TPFLAGS_METHOD_DESCRIPTOR | + #endif + #if CYTHON_METH_FASTCALL + #if defined(Py_TPFLAGS_HAVE_VECTORCALL) + Py_TPFLAGS_HAVE_VECTORCALL | + #elif defined(_Py_TPFLAGS_HAVE_VECTORCALL) + _Py_TPFLAGS_HAVE_VECTORCALL | + #endif + #endif // CYTHON_METH_FASTCALL + #if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API + Py_TPFLAGS_MANAGED_DICT | + #endif + Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION | + Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE, + __pyx_CyFunctionType_slots + }; + static int __pyx_CyFunction_init(PyObject *module) { + __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module); + mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec( + mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL); + if (unlikely(mstate->__pyx_CyFunctionType == NULL)) { + return -1; + } + return 0; + } + static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) { + __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func; + m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type); + if (unlikely(!m->defaults)) + return NULL; + return m->defaults; + } + static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) { + __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func; + m->defaults_tuple = tuple; + Py_INCREF(tuple); + } + static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) { + __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func; + m->defaults_kwdict = dict; + Py_INCREF(dict); + } + static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) { + __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func; + m->func_annotations = dict; + Py_INCREF(dict); + } + +/* CythonFunction */ + static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname, + PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) { + PyObject *op = __Pyx_CyFunction_Init( + PyObject_GC_New(__pyx_CyFunctionObject, __pyx_mstate_global->__pyx_CyFunctionType), + ml, flags, qualname, closure, module, globals, code + ); + if (likely(op)) { + PyObject_GC_Track(op); + } + return op; + } + +/* CLineInTraceback (used by AddTraceback) */ + #if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000 + #define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o)) + #elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + #define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL); + #else + PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) { + PyObject **dict_ptr = _PyObject_GetDictPtr(o); + return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL; + } + #endif + static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) { + PyObject *use_cline = NULL; + PyObject *ptype, *pvalue, *ptraceback; + PyObject *cython_runtime_dict; + CYTHON_MAYBE_UNUSED_VAR(tstate); + if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) { + return c_line; + } + __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback); + cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime); + if (likely(cython_runtime_dict)) { + __PYX_PY_DICT_LOOKUP_IF_MODIFIED( + use_cline, cython_runtime_dict, + __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False)) + } + if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) { + c_line = 0; + } + Py_XDECREF(use_cline); + Py_XDECREF(cython_runtime_dict); + __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback); + return c_line; + } + #endif + +/* CodeObjectCache (used by AddTraceback) */ + static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { + int start = 0, mid = 0, end = count - 1; + if (end >= 0 && code_line > entries[end].code_line) { + return count; + } + while (start < end) { + mid = start + (end - start) / 2; + if (code_line < entries[mid].code_line) { + end = mid; + } else if (code_line > entries[mid].code_line) { + start = mid + 1; + } else { + return mid; + } + } + if (code_line <= entries[mid].code_line) { + return mid; + } else { + return mid + 1; + } + } + static __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) { + __Pyx_CachedCodeObjectType* code_object; + int pos; + if (unlikely(!code_line) || unlikely(!code_cache->entries)) { + return NULL; + } + pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line); + if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) { + return NULL; + } + code_object = code_cache->entries[pos].code_object; + Py_INCREF(code_object); + return code_object; + } + static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) { + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS + (void)__pyx__find_code_object; + return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss. + #else + struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache; + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count); + if (old_count < 0) { + __pyx_atomic_decr_acq_rel(&code_cache->accessor_count); + return NULL; + } + #endif + __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line); + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + __pyx_atomic_decr_acq_rel(&code_cache->accessor_count); + #endif + return result; + #endif + } + static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object) + { + int pos, i; + __Pyx_CodeObjectCacheEntry* entries = code_cache->entries; + if (unlikely(!code_line)) { + return; + } + if (unlikely(!entries)) { + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); + if (likely(entries)) { + code_cache->entries = entries; + code_cache->max_count = 64; + code_cache->count = 1; + entries[0].code_line = code_line; + entries[0].code_object = code_object; + Py_INCREF(code_object); + } + return; + } + pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line); + if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) { + __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object; + entries[pos].code_object = code_object; + Py_INCREF(code_object); + Py_DECREF(tmp); + return; + } + if (code_cache->count == code_cache->max_count) { + int new_max = code_cache->max_count + 64; + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( + code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry)); + if (unlikely(!entries)) { + return; + } + code_cache->entries = entries; + code_cache->max_count = new_max; + } + for (i=code_cache->count; i>pos; i--) { + entries[i] = entries[i-1]; + } + entries[pos].code_line = code_line; + entries[pos].code_object = code_object; + code_cache->count++; + Py_INCREF(code_object); + } + static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) { + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS + (void)__pyx__insert_code_object; + return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail. + #else + struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache; + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + __pyx_nonatomic_int_type expected = 0; + if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) { + return; + } + #endif + __pyx__insert_code_object(code_cache, code_line, code_object); + #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING + __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN); + #endif + #endif + } + +/* AddTraceback */ + #include "compile.h" + #include "frameobject.h" + #include "traceback.h" + #if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION) + #ifndef Py_BUILD_CORE + #define Py_BUILD_CORE 1 + #endif + #include "internal/pycore_frame.h" + #endif + #if CYTHON_COMPILING_IN_LIMITED_API + static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict, + PyObject *firstlineno, PyObject *name) { + PyObject *replace = NULL; + if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL; + if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL; + replace = PyObject_GetAttrString(code, "replace"); + if (likely(replace)) { + PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict); + Py_DECREF(replace); + return result; + } + PyErr_Clear(); + return NULL; + } + static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename) { + PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL; + PyObject *replace = NULL, *getframe = NULL, *frame = NULL; + PyObject *exc_type, *exc_value, *exc_traceback; + int success = 0; + if (c_line) { + c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line); + } + PyErr_Fetch(&exc_type, &exc_value, &exc_traceback); + code_object = __pyx_find_code_object(c_line ? -c_line : py_line); + if (!code_object) { + code_object = Py_CompileString("_getframe()", filename, Py_eval_input); + if (unlikely(!code_object)) goto bad; + py_py_line = PyLong_FromLong(py_line); + if (unlikely(!py_py_line)) goto bad; + if (c_line) { + py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + } else { + py_funcname = PyUnicode_FromString(funcname); + } + if (unlikely(!py_funcname)) goto bad; + dict = PyDict_New(); + if (unlikely(!dict)) goto bad; + { + PyObject *old_code_object = code_object; + code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname); + Py_DECREF(old_code_object); + } + if (unlikely(!code_object)) goto bad; + __pyx_insert_code_object(c_line ? -c_line : py_line, code_object); + } else { + dict = PyDict_New(); + } + getframe = PySys_GetObject("_getframe"); + if (unlikely(!getframe)) goto bad; + if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad; + frame = PyEval_EvalCode(code_object, dict, dict); + if (unlikely(!frame) || frame == Py_None) goto bad; + success = 1; + bad: + PyErr_Restore(exc_type, exc_value, exc_traceback); + Py_XDECREF(code_object); + Py_XDECREF(py_py_line); + Py_XDECREF(py_funcname); + Py_XDECREF(dict); + Py_XDECREF(replace); + if (success) { + PyTraceBack_Here( + (struct _frame*)frame); + } + Py_XDECREF(frame); + } + #else + static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( + const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = NULL; + PyObject *py_funcname = NULL; + if (c_line) { + py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + if (!py_funcname) goto bad; + funcname = PyUnicode_AsUTF8(py_funcname); + if (!funcname) goto bad; + } + py_code = PyCode_NewEmpty(filename, funcname, py_line); + Py_XDECREF(py_funcname); + return py_code; + bad: + Py_XDECREF(py_funcname); + return NULL; + } + static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = 0; + PyFrameObject *py_frame = 0; + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject *ptype, *pvalue, *ptraceback; + if (c_line) { + c_line = __Pyx_CLineForTraceback(tstate, c_line); + } + py_code = __pyx_find_code_object(c_line ? -c_line : py_line); + if (!py_code) { + __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback); + py_code = __Pyx_CreateCodeObjectForTraceback( + funcname, c_line, py_line, filename); + if (!py_code) { + /* If the code object creation fails, then we should clear the + fetched exception references and propagate the new exception */ + Py_XDECREF(ptype); + Py_XDECREF(pvalue); + Py_XDECREF(ptraceback); + goto bad; + } + __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback); + __pyx_insert_code_object(c_line ? -c_line : py_line, py_code); + } + py_frame = PyFrame_New( + tstate, /*PyThreadState *tstate,*/ + py_code, /*PyCodeObject *code,*/ + __pyx_mstate_global->__pyx_d, /*PyObject *globals,*/ + 0 /*PyObject *locals*/ + ); + if (!py_frame) goto bad; + __Pyx_PyFrame_SetLineNumber(py_frame, py_line); + PyTraceBack_Here(py_frame); + bad: + Py_XDECREF(py_code); + Py_XDECREF(py_frame); + } + #endif + +/* CIntFromPyVerify */ + #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0) + #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1) + #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\ + {\ + func_type value = func_value;\ + if (sizeof(target_type) < sizeof(func_type)) {\ + if (unlikely(value != (func_type) (target_type) value)) {\ + func_type zero = 0;\ + if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\ + return (target_type) -1;\ + if (is_unsigned && unlikely(value < zero))\ + goto raise_neg_overflow;\ + else\ + goto raise_overflow;\ + }\ + }\ + return (target_type) value;\ + } + +/* Declarations */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return ::std::complex< float >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return x + y*(__pyx_t_float_complex)_Complex_I; + } + #endif + #else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + __pyx_t_float_complex z; + z.real = x; + z.imag = y; + return z; + } + #endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabsf(b.real) >= fabsf(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + float r = b.imag / b.real; + float s = (float)(1.0) / (b.real + b.imag * r); + return __pyx_t_float_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + float r = b.real / b.imag; + float s = (float)(1.0) / (b.imag + b.real * r); + return __pyx_t_float_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + float denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_float_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrtf(z.real*z.real + z.imag*z.imag); + #else + return hypotf(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + float r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + float denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + return __Pyx_c_prod_float(a, a); + case 3: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, a); + case 4: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if ((b.imag == 0) && (a.real >= 0)) { + z.real = powf(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2f(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_float(a); + theta = atan2f(a.imag, a.real); + } + lnr = logf(r); + z_r = expf(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cosf(z_theta); + z.imag = z_r * sinf(z_theta); + return z; + } + #endif + #endif + +/* Declarations */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return ::std::complex< double >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return x + y*(__pyx_t_double_complex)_Complex_I; + } + #endif + #else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + __pyx_t_double_complex z; + z.real = x; + z.imag = y; + return z; + } + #endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabs(b.real) >= fabs(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + double r = b.imag / b.real; + double s = (double)(1.0) / (b.real + b.imag * r); + return __pyx_t_double_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + double r = b.real / b.imag; + double s = (double)(1.0) / (b.imag + b.real * r); + return __pyx_t_double_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + double denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_double_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrt(z.real*z.real + z.imag*z.imag); + #else + return hypot(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + double r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + double denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + return __Pyx_c_prod_double(a, a); + case 3: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, a); + case 4: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if ((b.imag == 0) && (a.real >= 0)) { + z.real = pow(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_double(a); + theta = atan2(a.imag, a.real); + } + lnr = log(r); + z_r = exp(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cos(z_theta); + z.imag = z_r * sin(z_theta); + return z; + } + #endif + #endif + +/* Declarations */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + return ::std::complex< long double >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + return x + y*(__pyx_t_long_double_complex)_Complex_I; + } + #endif + #else + static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + __pyx_t_long_double_complex z; + z.real = x; + z.imag = y; + return z; + } + #endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus) + #else + static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + if (b.imag == 0) { + return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabsl(b.real) >= fabsl(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + long double r = b.imag / b.real; + long double s = (long double)(1.0) / (b.real + b.imag * r); + return __pyx_t_long_double_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + long double r = b.real / b.imag; + long double s = (long double)(1.0) / (b.imag + b.real * r); + return __pyx_t_long_double_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + if (b.imag == 0) { + return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + long double denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_long_double_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) { + __pyx_t_long_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) { + __pyx_t_long_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrtl(z.real*z.real + z.imag*z.imag); + #else + return hypotl(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + long double r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + long double denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + return __Pyx_c_prod_long__double(a, a); + case 3: + z = __Pyx_c_prod_long__double(a, a); + return __Pyx_c_prod_long__double(z, a); + case 4: + z = __Pyx_c_prod_long__double(a, a); + return __Pyx_c_prod_long__double(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if ((b.imag == 0) && (a.real >= 0)) { + z.real = powl(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2l(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_long__double(a); + theta = atan2l(a.imag, a.real); + } + lnr = logl(r); + z_r = expl(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cosl(z_theta); + z.imag = z_r * sinl(z_theta); + return z; + } + #endif + #endif + +/* CIntFromPy */ + static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *x) { + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wconversion" + #endif + const int neg_one = (int) -1, const_zero = (int) 0; + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic pop + #endif + const int is_unsigned = neg_one > const_zero; + if (unlikely(!PyLong_Check(x))) { + int val; + PyObject *tmp = __Pyx_PyNumber_Long(x); + if (!tmp) return (int) -1; + val = __Pyx_PyLong_As_int(tmp); + Py_DECREF(tmp); + return val; + } + if (is_unsigned) { + #if CYTHON_USE_PYLONG_INTERNALS + if (unlikely(__Pyx_PyLong_IsNeg(x))) { + goto raise_neg_overflow; + } else if (__Pyx_PyLong_IsCompact(x)) { + __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x)) + } else { + const digit* digits = __Pyx_PyLong_Digits(x); + assert(__Pyx_PyLong_DigitCount(x) > 1); + switch (__Pyx_PyLong_DigitCount(x)) { + case 2: + if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) { + return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 3: + if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) { + return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 4: + if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) { + return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + } + } + #endif + #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7 + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } + #else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (int) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } + #endif + if ((sizeof(int) <= sizeof(unsigned long))) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x)) + } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) + } + } else { + #if CYTHON_USE_PYLONG_INTERNALS + if (__Pyx_PyLong_IsCompact(x)) { + __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x)) + } else { + const digit* digits = __Pyx_PyLong_Digits(x); + assert(__Pyx_PyLong_DigitCount(x) > 1); + switch (__Pyx_PyLong_SignedDigitCount(x)) { + case -2: + if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) { + return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 2: + if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) { + return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -3: + if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) { + return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 3: + if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) { + return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -4: + if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) { + return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 4: + if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) { + return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + } + } + #endif + if ((sizeof(int) <= sizeof(long))) { + __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x)) + } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) { + __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x)) + } + } + { + int val; + int ret = -1; + #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API + Py_ssize_t bytes_copied = PyLong_AsNativeBytes( + x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0)); + if (unlikely(bytes_copied == -1)) { + } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) { + goto raise_overflow; + } else { + ret = 0; + } + #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray) + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + ret = _PyLong_AsByteArray((PyLongObject *)x, + bytes, sizeof(val), + is_little, !is_unsigned); + #else + PyObject *v; + PyObject *stepval = NULL, *mask = NULL, *shift = NULL; + int bits, remaining_bits, is_negative = 0; + int chunk_size = (sizeof(long) < 8) ? 30 : 62; + if (likely(PyLong_CheckExact(x))) { + v = __Pyx_NewRef(x); + } else { + v = PyNumber_Long(x); + if (unlikely(!v)) return (int) -1; + assert(PyLong_CheckExact(v)); + } + { + int result = PyObject_RichCompareBool(v, Py_False, Py_LT); + if (unlikely(result < 0)) { + Py_DECREF(v); + return (int) -1; + } + is_negative = result == 1; + } + if (is_unsigned && unlikely(is_negative)) { + Py_DECREF(v); + goto raise_neg_overflow; + } else if (is_negative) { + stepval = PyNumber_Invert(v); + Py_DECREF(v); + if (unlikely(!stepval)) + return (int) -1; + } else { + stepval = v; + } + v = NULL; + val = (int) 0; + mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done; + shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done; + for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) { + PyObject *tmp, *digit; + long idigit; + digit = PyNumber_And(stepval, mask); + if (unlikely(!digit)) goto done; + idigit = PyLong_AsLong(digit); + Py_DECREF(digit); + if (unlikely(idigit < 0)) goto done; + val |= ((int) idigit) << bits; + tmp = PyNumber_Rshift(stepval, shift); + if (unlikely(!tmp)) goto done; + Py_DECREF(stepval); stepval = tmp; + } + Py_DECREF(shift); shift = NULL; + Py_DECREF(mask); mask = NULL; + { + long idigit = PyLong_AsLong(stepval); + if (unlikely(idigit < 0)) goto done; + remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1); + if (unlikely(idigit >= (1L << remaining_bits))) + goto raise_overflow; + val |= ((int) idigit) << bits; + } + if (!is_unsigned) { + if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1)))) + goto raise_overflow; + if (is_negative) + val = ~val; + } + ret = 0; + done: + Py_XDECREF(shift); + Py_XDECREF(mask); + Py_XDECREF(stepval); + #endif + if (unlikely(ret)) + return (int) -1; + return val; + } + raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to int"); + return (int) -1; + raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to int"); + return (int) -1; + } + +/* PyObjectVectorCallKwBuilder (used by CIntToPy) */ + #if CYTHON_VECTORCALL + static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) { + (void)__Pyx_PyObject_FastCallDict; + Py_INCREF(key); + if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1; + args[n] = value; + return 0; + } + CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) { + (void)__Pyx_VectorcallBuilder_AddArgStr; + if (unlikely(!PyUnicode_Check(key))) { + PyErr_SetString(PyExc_TypeError, "keywords must be strings"); + return -1; + } + return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n); + } + static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) { + PyObject *pyKey = PyUnicode_FromString(key); + if (!pyKey) return -1; + return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n); + } + #else // CYTHON_VECTORCALL + CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) { + if (unlikely(!PyUnicode_Check(key))) { + PyErr_SetString(PyExc_TypeError, "keywords must be strings"); + return -1; + } + return PyDict_SetItem(builder, key, value); + } + #endif + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int(int value) { + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wconversion" + #endif + const int neg_one = (int) -1, const_zero = (int) 0; + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic pop + #endif + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(int) < sizeof(long)) { + return PyLong_FromLong((long) value); + } else if (sizeof(int) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); + #if !CYTHON_COMPILING_IN_PYPY + } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); + #endif + } + } else { + if (sizeof(int) <= sizeof(long)) { + return PyLong_FromLong((long) value); + } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); + } + } + { + unsigned char *bytes = (unsigned char *)&value; + #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4 + if (is_unsigned) { + return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1); + } else { + return PyLong_FromNativeBytes(bytes, sizeof(value), -1); + } + #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000 + int one = 1; int little = (int)*(unsigned char *)&one; + return _PyLong_FromByteArray(bytes, sizeof(int), + little, !is_unsigned); + #else + int one = 1; int little = (int)*(unsigned char *)&one; + PyObject *from_bytes, *result = NULL, *kwds = NULL; + PyObject *py_bytes = NULL, *order_str = NULL; + from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes"); + if (!from_bytes) return NULL; + py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int)); + if (!py_bytes) goto limited_bad; + order_str = PyUnicode_FromString(little ? "little" : "big"); + if (!order_str) goto limited_bad; + { + PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str }; + if (!is_unsigned) { + kwds = __Pyx_MakeVectorcallBuilderKwds(1); + if (!kwds) goto limited_bad; + if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad; + } + result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds); + } + limited_bad: + Py_XDECREF(kwds); + Py_XDECREF(order_str); + Py_XDECREF(py_bytes); + Py_XDECREF(from_bytes); + return result; + #endif + } + } + +/* FormatTypeName */ + #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000 + static __Pyx_TypeName + __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp) + { + PyObject *module = NULL, *name = NULL, *result = NULL; + #if __PYX_LIMITED_VERSION_HEX < 0x030b0000 + name = __Pyx_PyObject_GetAttrStr((PyObject *)tp, + __pyx_mstate_global->__pyx_n_u_qualname); + #else + name = PyType_GetQualName(tp); + #endif + if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad; + module = __Pyx_PyObject_GetAttrStr((PyObject *)tp, + __pyx_mstate_global->__pyx_n_u_module); + if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad; + if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) { + result = name; + name = NULL; + goto done; + } + result = PyUnicode_FromFormat("%U.%U", module, name); + if (unlikely(result == NULL)) goto bad; + done: + Py_XDECREF(name); + Py_XDECREF(module); + return result; + bad: + PyErr_Clear(); + if (name) { + result = name; + name = NULL; + } else { + result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u_); + } + goto done; + } + #endif + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value) { + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wconversion" + #endif + const long neg_one = (long) -1, const_zero = (long) 0; + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic pop + #endif + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(long) < sizeof(long)) { + return PyLong_FromLong((long) value); + } else if (sizeof(long) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); + #if !CYTHON_COMPILING_IN_PYPY + } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); + #endif + } + } else { + if (sizeof(long) <= sizeof(long)) { + return PyLong_FromLong((long) value); + } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); + } + } + { + unsigned char *bytes = (unsigned char *)&value; + #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4 + if (is_unsigned) { + return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1); + } else { + return PyLong_FromNativeBytes(bytes, sizeof(value), -1); + } + #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000 + int one = 1; int little = (int)*(unsigned char *)&one; + return _PyLong_FromByteArray(bytes, sizeof(long), + little, !is_unsigned); + #else + int one = 1; int little = (int)*(unsigned char *)&one; + PyObject *from_bytes, *result = NULL, *kwds = NULL; + PyObject *py_bytes = NULL, *order_str = NULL; + from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes"); + if (!from_bytes) return NULL; + py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long)); + if (!py_bytes) goto limited_bad; + order_str = PyUnicode_FromString(little ? "little" : "big"); + if (!order_str) goto limited_bad; + { + PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str }; + if (!is_unsigned) { + kwds = __Pyx_MakeVectorcallBuilderKwds(1); + if (!kwds) goto limited_bad; + if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad; + } + result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds); + } + limited_bad: + Py_XDECREF(kwds); + Py_XDECREF(order_str); + Py_XDECREF(py_bytes); + Py_XDECREF(from_bytes); + return result; + #endif + } + } + +/* CIntFromPy */ + static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *x) { + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wconversion" + #endif + const long neg_one = (long) -1, const_zero = (long) 0; + #ifdef __Pyx_HAS_GCC_DIAGNOSTIC + #pragma GCC diagnostic pop + #endif + const int is_unsigned = neg_one > const_zero; + if (unlikely(!PyLong_Check(x))) { + long val; + PyObject *tmp = __Pyx_PyNumber_Long(x); + if (!tmp) return (long) -1; + val = __Pyx_PyLong_As_long(tmp); + Py_DECREF(tmp); + return val; + } + if (is_unsigned) { + #if CYTHON_USE_PYLONG_INTERNALS + if (unlikely(__Pyx_PyLong_IsNeg(x))) { + goto raise_neg_overflow; + } else if (__Pyx_PyLong_IsCompact(x)) { + __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x)) + } else { + const digit* digits = __Pyx_PyLong_Digits(x); + assert(__Pyx_PyLong_DigitCount(x) > 1); + switch (__Pyx_PyLong_DigitCount(x)) { + case 2: + if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) { + return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 3: + if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) { + return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 4: + if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) { + return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + } + } + #endif + #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7 + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } + #else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (long) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } + #endif + if ((sizeof(long) <= sizeof(unsigned long))) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x)) + } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) + } + } else { + #if CYTHON_USE_PYLONG_INTERNALS + if (__Pyx_PyLong_IsCompact(x)) { + __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x)) + } else { + const digit* digits = __Pyx_PyLong_Digits(x); + assert(__Pyx_PyLong_DigitCount(x) > 1); + switch (__Pyx_PyLong_SignedDigitCount(x)) { + case -2: + if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) { + return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 2: + if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) { + return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -3: + if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) { + return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 3: + if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) { + return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -4: + if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) { + return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 4: + if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) { + if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) { + return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + } + } + #endif + if ((sizeof(long) <= sizeof(long))) { + __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x)) + } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) { + __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x)) + } + } + { + long val; + int ret = -1; + #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API + Py_ssize_t bytes_copied = PyLong_AsNativeBytes( + x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0)); + if (unlikely(bytes_copied == -1)) { + } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) { + goto raise_overflow; + } else { + ret = 0; + } + #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray) + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + ret = _PyLong_AsByteArray((PyLongObject *)x, + bytes, sizeof(val), + is_little, !is_unsigned); + #else + PyObject *v; + PyObject *stepval = NULL, *mask = NULL, *shift = NULL; + int bits, remaining_bits, is_negative = 0; + int chunk_size = (sizeof(long) < 8) ? 30 : 62; + if (likely(PyLong_CheckExact(x))) { + v = __Pyx_NewRef(x); + } else { + v = PyNumber_Long(x); + if (unlikely(!v)) return (long) -1; + assert(PyLong_CheckExact(v)); + } + { + int result = PyObject_RichCompareBool(v, Py_False, Py_LT); + if (unlikely(result < 0)) { + Py_DECREF(v); + return (long) -1; + } + is_negative = result == 1; + } + if (is_unsigned && unlikely(is_negative)) { + Py_DECREF(v); + goto raise_neg_overflow; + } else if (is_negative) { + stepval = PyNumber_Invert(v); + Py_DECREF(v); + if (unlikely(!stepval)) + return (long) -1; + } else { + stepval = v; + } + v = NULL; + val = (long) 0; + mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done; + shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done; + for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) { + PyObject *tmp, *digit; + long idigit; + digit = PyNumber_And(stepval, mask); + if (unlikely(!digit)) goto done; + idigit = PyLong_AsLong(digit); + Py_DECREF(digit); + if (unlikely(idigit < 0)) goto done; + val |= ((long) idigit) << bits; + tmp = PyNumber_Rshift(stepval, shift); + if (unlikely(!tmp)) goto done; + Py_DECREF(stepval); stepval = tmp; + } + Py_DECREF(shift); shift = NULL; + Py_DECREF(mask); mask = NULL; + { + long idigit = PyLong_AsLong(stepval); + if (unlikely(idigit < 0)) goto done; + remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1); + if (unlikely(idigit >= (1L << remaining_bits))) + goto raise_overflow; + val |= ((long) idigit) << bits; + } + if (!is_unsigned) { + if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1)))) + goto raise_overflow; + if (is_negative) + val = ~val; + } + ret = 0; + done: + Py_XDECREF(shift); + Py_XDECREF(mask); + Py_XDECREF(stepval); + #endif + if (unlikely(ret)) + return (long) -1; + return val; + } + raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to long"); + return (long) -1; + raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to long"); + return (long) -1; + } + +/* FastTypeChecks */ + #if CYTHON_COMPILING_IN_CPYTHON + static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) { + while (a) { + a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*); + if (a == b) + return 1; + } + return b == &PyBaseObject_Type; + } + static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) { + PyObject *mro; + if (a == b) return 1; + mro = a->tp_mro; + if (likely(mro)) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(mro); + for (i = 0; i < n; i++) { + if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b) + return 1; + } + return 0; + } + return __Pyx_InBases(a, b); + } + static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) { + PyObject *mro; + if (cls == a || cls == b) return 1; + mro = cls->tp_mro; + if (likely(mro)) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(mro); + for (i = 0; i < n; i++) { + PyObject *base = PyTuple_GET_ITEM(mro, i); + if (base == (PyObject *)a || base == (PyObject *)b) + return 1; + } + return 0; + } + return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b); + } + static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) { + if (exc_type1) { + return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2); + } else { + return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2); + } + } + static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + assert(PyExceptionClass_Check(exc_type)); + n = PyTuple_GET_SIZE(tuple); + for (i=0; i>= 8; + ++i; + } + __Pyx_cached_runtime_version = version; + } + } + #endif + static unsigned long __Pyx_get_runtime_version(void) { + #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000 + return Py_Version & ~0xFFUL; + #else + return __Pyx_cached_runtime_version; + #endif + } + +/* CheckBinaryVersion */ + static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) { + const unsigned long MAJOR_MINOR = 0xFFFF0000UL; + if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR)) + return 0; + if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR))) + return 1; + { + char message[200]; + PyOS_snprintf(message, sizeof(message), + "compile time Python version %d.%d " + "of module '%.100s' " + "%s " + "runtime version %d.%d", + (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF), + __Pyx_MODULE_NAME, + (allow_newer) ? "was newer than" : "does not match", + (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF) + ); + return PyErr_WarnEx(NULL, message, 1); + } + } + +/* NewCodeObj */ + #if CYTHON_COMPILING_IN_LIMITED_API + static PyObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f, + PyObject *code, PyObject *c, PyObject* n, PyObject *v, + PyObject *fv, PyObject *cell, PyObject* fn, + PyObject *name, int fline, PyObject *lnos) { + PyObject *exception_table = NULL; + PyObject *types_module=NULL, *code_type=NULL, *result=NULL; + #if __PYX_LIMITED_VERSION_HEX < 0x030b0000 + PyObject *version_info; + PyObject *py_minor_version = NULL; + #endif + long minor_version = 0; + PyObject *type, *value, *traceback; + PyErr_Fetch(&type, &value, &traceback); + #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000 + minor_version = 11; + #else + if (!(version_info = PySys_GetObject("version_info"))) goto end; + if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end; + minor_version = PyLong_AsLong(py_minor_version); + Py_DECREF(py_minor_version); + if (minor_version == -1 && PyErr_Occurred()) goto end; + #endif + if (!(types_module = PyImport_ImportModule("types"))) goto end; + if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end; + if (minor_version <= 7) { + (void)p; + result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOOO", a, k, l, s, f, code, + c, n, v, fn, name, fline, lnos, fv, cell); + } else if (minor_version <= 10) { + result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code, + c, n, v, fn, name, fline, lnos, fv, cell); + } else { + if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end; + result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code, + c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell); + } + end: + Py_XDECREF(code_type); + Py_XDECREF(exception_table); + Py_XDECREF(types_module); + if (type) { + PyErr_Restore(type, value, traceback); + } + return result; + } + #elif PY_VERSION_HEX >= 0x030B0000 + static PyCodeObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f, + PyObject *code, PyObject *c, PyObject* n, PyObject *v, + PyObject *fv, PyObject *cell, PyObject* fn, + PyObject *name, int fline, PyObject *lnos) { + PyCodeObject *result; + result = + #if PY_VERSION_HEX >= 0x030C0000 + PyUnstable_Code_NewWithPosOnlyArgs + #else + PyCode_NewWithPosOnlyArgs + #endif + (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes); + #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1 + if (likely(result)) + result->_co_firsttraceable = 0; + #endif + return result; + } + #elif !CYTHON_COMPILING_IN_PYPY + #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #else + #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #endif + static PyObject* __Pyx_PyCode_New( + const __Pyx_PyCode_New_function_description descr, + PyObject * const *varnames, + PyObject *filename, + PyObject *funcname, + PyObject *line_table, + PyObject *tuple_dedup_map + ) { + PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL; + Py_ssize_t var_count = (Py_ssize_t) descr.nlocals; + PyObject *varnames_tuple = PyTuple_New(var_count); + if (unlikely(!varnames_tuple)) return NULL; + for (Py_ssize_t i=0; i < var_count; i++) { + Py_INCREF(varnames[i]); + if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done; + } + #if CYTHON_COMPILING_IN_LIMITED_API + varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple); + if (!varnames_tuple_dedup) { + if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done; + varnames_tuple_dedup = varnames_tuple; + } + #else + varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple); + if (unlikely(!varnames_tuple_dedup)) goto done; + #endif + #if CYTHON_AVOID_BORROWED_REFS + Py_INCREF(varnames_tuple_dedup); + #endif + if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL && !CYTHON_COMPILING_IN_GRAAL) { + Py_ssize_t line_table_length = __Pyx_PyBytes_GET_SIZE(line_table); + #if !CYTHON_ASSUME_SAFE_SIZE + if (unlikely(line_table_length == -1)) goto done; + #endif + Py_ssize_t code_len = (line_table_length * 2 + 4) & ~3LL; + code_bytes = PyBytes_FromStringAndSize(NULL, code_len); + if (unlikely(!code_bytes)) goto done; + char* c_code_bytes = PyBytes_AsString(code_bytes); + if (unlikely(!c_code_bytes)) goto done; + memset(c_code_bytes, 0, (size_t) code_len); + } + code_obj = (PyObject*) __Pyx__PyCode_New( + (int) descr.argcount, + (int) descr.num_posonly_args, + (int) descr.num_kwonly_args, + (int) descr.nlocals, + 0, + (int) descr.flags, + code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes, + __pyx_mstate_global->__pyx_empty_tuple, + __pyx_mstate_global->__pyx_empty_tuple, + varnames_tuple_dedup, + __pyx_mstate_global->__pyx_empty_tuple, + __pyx_mstate_global->__pyx_empty_tuple, + filename, + funcname, + (int) descr.first_line, + (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table) ? line_table : __pyx_mstate_global->__pyx_empty_bytes + ); + done: + Py_XDECREF(code_bytes); + #if CYTHON_AVOID_BORROWED_REFS + Py_XDECREF(varnames_tuple_dedup); + #endif + Py_DECREF(varnames_tuple); + return code_obj; + } + +/* DecompressString */ + static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) { + PyObject *module = NULL, *decompress, *compressed_bytes, *decompressed; + const char* module_name = algo == 3 ? "compression.zstd" : algo == 2 ? "bz2" : "zlib"; + PyObject *methodname = PyUnicode_FromString("decompress"); + if (unlikely(!methodname)) return NULL; + #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000 + if (algo == 3) { + PyObject *fromlist = Py_BuildValue("[O]", methodname); + if (unlikely(!fromlist)) goto bad; + module = PyImport_ImportModuleLevel("compression.zstd", NULL, NULL, fromlist, 0); + Py_DECREF(fromlist); + } else + #endif + module = PyImport_ImportModule(module_name); + if (unlikely(!module)) goto import_failed; + decompress = PyObject_GetAttr(module, methodname); + if (unlikely(!decompress)) goto import_failed; + { + #ifdef __cplusplus + char *memview_bytes = const_cast(s); + #else + #if defined(__clang__) + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wcast-qual" + #elif !defined(__INTEL_COMPILER) && defined(__GNUC__) + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wcast-qual" + #endif + char *memview_bytes = (char*) s; + #if defined(__clang__) + #pragma clang diagnostic pop + #elif !defined(__INTEL_COMPILER) && defined(__GNUC__) + #pragma GCC diagnostic pop + #endif + #endif + #if CYTHON_COMPILING_IN_LIMITED_API && !defined(PyBUF_READ) + int memview_flags = 0x100; + #else + int memview_flags = PyBUF_READ; + #endif + compressed_bytes = PyMemoryView_FromMemory(memview_bytes, length, memview_flags); + } + if (unlikely(!compressed_bytes)) { + Py_DECREF(decompress); + goto bad; + } + decompressed = PyObject_CallFunctionObjArgs(decompress, compressed_bytes, NULL); + Py_DECREF(compressed_bytes); + Py_DECREF(decompress); + Py_DECREF(module); + Py_DECREF(methodname); + return decompressed; + import_failed: + PyErr_Format(PyExc_ImportError, + "Failed to import '%.20s.decompress' - cannot initialise module strings. " + "String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.", + module_name, algo); + bad: + Py_XDECREF(module); + Py_DECREF(methodname); + return NULL; + } + +#include +static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) { + size_t len = strlen(s); + if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) { + PyErr_SetString(PyExc_OverflowError, "byte string is too long"); + return -1; + } + return (Py_ssize_t) len; +} +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) { + Py_ssize_t len = __Pyx_ssize_strlen(c_str); + if (unlikely(len < 0)) return NULL; + return __Pyx_PyUnicode_FromStringAndSize(c_str, len); +} +static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) { + Py_ssize_t len = __Pyx_ssize_strlen(c_str); + if (unlikely(len < 0)) return NULL; + return PyByteArray_FromStringAndSize(c_str, len); +} +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) { + Py_ssize_t ignore; + return __Pyx_PyObject_AsStringAndSize(o, &ignore); +} +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 +static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) { + if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL; +#if CYTHON_COMPILING_IN_LIMITED_API + { + const char* result; + Py_ssize_t unicode_length; + CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + #if __PYX_LIMITED_VERSION_HEX < 0x030A0000 + if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL; + #else + result = PyUnicode_AsUTF8AndSize(o, length); + #endif + #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + unicode_length = PyUnicode_GetLength(o); + if (unlikely(unicode_length < 0)) return NULL; + if (unlikely(unicode_length != *length)) { + PyUnicode_AsASCIIString(o); + return NULL; + } + #endif + return result; + } +#else +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + if (likely(PyUnicode_IS_ASCII(o))) { + *length = PyUnicode_GET_LENGTH(o); + return PyUnicode_AsUTF8(o); + } else { + PyUnicode_AsASCIIString(o); + return NULL; + } +#else + return PyUnicode_AsUTF8AndSize(o, length); +#endif +#endif +} +#endif +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 + if (PyUnicode_Check(o)) { + return __Pyx_PyUnicode_AsStringAndSize(o, length); + } else +#endif + if (PyByteArray_Check(o)) { +#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))) + *length = PyByteArray_GET_SIZE(o); + return PyByteArray_AS_STRING(o); +#else + *length = PyByteArray_Size(o); + if (*length == -1) return NULL; + return PyByteArray_AsString(o); +#endif + } else + { + char* result; + int r = PyBytes_AsStringAndSize(o, &result, length); + if (unlikely(r < 0)) { + return NULL; + } else { + return result; + } + } +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { + int is_true = x == Py_True; + if (is_true | (x == Py_False) | (x == Py_None)) return is_true; + else return PyObject_IsTrue(x); +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) { + int retval; + if (unlikely(!x)) return -1; + retval = __Pyx_PyObject_IsTrue(x); + Py_DECREF(x); + return retval; +} +static PyObject* __Pyx_PyNumber_LongWrongResultType(PyObject* result) { + __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result)); + if (PyLong_Check(result)) { + if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1, + "__int__ returned non-int (type " __Pyx_FMT_TYPENAME "). " + "The ability to return an instance of a strict subclass of int is deprecated, " + "and may be removed in a future version of Python.", + result_type_name)) { + __Pyx_DECREF_TypeName(result_type_name); + Py_DECREF(result); + return NULL; + } + __Pyx_DECREF_TypeName(result_type_name); + return result; + } + PyErr_Format(PyExc_TypeError, + "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")", + result_type_name); + __Pyx_DECREF_TypeName(result_type_name); + Py_DECREF(result); + return NULL; +} +static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) { +#if CYTHON_USE_TYPE_SLOTS + PyNumberMethods *m; +#endif + PyObject *res = NULL; + if (likely(PyLong_Check(x))) + return __Pyx_NewRef(x); +#if CYTHON_USE_TYPE_SLOTS + m = Py_TYPE(x)->tp_as_number; + if (likely(m && m->nb_int)) { + res = m->nb_int(x); + } +#else + if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) { + res = PyNumber_Long(x); + } +#endif + if (likely(res)) { + if (unlikely(!PyLong_CheckExact(res))) { + return __Pyx_PyNumber_LongWrongResultType(res); + } + } + else if (!PyErr_Occurred()) { + PyErr_SetString(PyExc_TypeError, + "an integer is required"); + } + return res; +} +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { + Py_ssize_t ival; + PyObject *x; + if (likely(PyLong_CheckExact(b))) { + #if CYTHON_USE_PYLONG_INTERNALS + if (likely(__Pyx_PyLong_IsCompact(b))) { + return __Pyx_PyLong_CompactValue(b); + } else { + const digit* digits = __Pyx_PyLong_Digits(b); + const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b); + switch (size) { + case 2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + } + } + #endif + return PyLong_AsSsize_t(b); + } + x = PyNumber_Index(b); + if (!x) return -1; + ival = PyLong_AsSsize_t(x); + Py_DECREF(x); + return ival; +} +static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) { + if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) { + return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o); + } else { + Py_ssize_t ival; + PyObject *x; + x = PyNumber_Index(o); + if (!x) return -1; + ival = PyLong_AsLong(x); + Py_DECREF(x); + return ival; + } +} +static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) { + CYTHON_UNUSED_VAR(b); + return __Pyx_NewRef(Py_None); +} +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) { + return __Pyx_NewRef(b ? Py_True: Py_False); +} +static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) { + return PyLong_FromSize_t(ival); +} + + + /* MultiPhaseInitModuleState */ + #if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE + #ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + #if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000) + #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1 + #else + #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0 + #endif + #endif + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS + #error "Module state with PEP489 requires atomics. Currently that's one of\ + C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics" + #endif + #if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + #define __Pyx_ModuleStateLookup_Lock() + #define __Pyx_ModuleStateLookup_Unlock() + #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000 + static PyMutex __Pyx_ModuleStateLookup_mutex = {0}; + #define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex) + #define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex) + #elif defined(__cplusplus) && __cplusplus >= 201103L + #include + static std::mutex __Pyx_ModuleStateLookup_mutex; + #define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock() + #define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock() + #elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__) + #include + static mtx_t __Pyx_ModuleStateLookup_mutex; + static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT; + static void __Pyx_ModuleStateLookup_initialize_mutex(void) { + mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain); + } + #define __Pyx_ModuleStateLookup_Lock()\ + call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\ + mtx_lock(&__Pyx_ModuleStateLookup_mutex) + #define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex) + #elif defined(HAVE_PTHREAD_H) + #include + static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER; + #define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex) + #define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex) + #elif defined(_WIN32) + #include // synchapi.h on its own doesn't work + static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT; + #define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex) + #define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex) + #else + #error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\ + Requires C standard >= C11, or C++ standard >= C++11,\ + or pthreads, or the Windows 32 API, or Python >= 3.13." + #endif + typedef struct { + int64_t id; + PyObject *module; + } __Pyx_InterpreterIdAndModule; + typedef struct { + char interpreter_id_as_index; + Py_ssize_t count; + Py_ssize_t allocated; + __Pyx_InterpreterIdAndModule table[1]; + } __Pyx_ModuleStateLookupData; + #define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32 + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0; + #endif + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0; + #else + static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL; + #endif + static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound( + __Pyx_InterpreterIdAndModule* table, + Py_ssize_t count, + int64_t interpreterId) { + __Pyx_InterpreterIdAndModule* begin = table; + __Pyx_InterpreterIdAndModule* end = begin + count; + if (begin->id == interpreterId) { + return begin; + } + while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) { + __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2; + if (halfway->id == interpreterId) { + return halfway; + } + if (halfway->id < interpreterId) { + begin = halfway; + } else { + end = halfway; + } + } + for (; begin < end; ++begin) { + if (begin->id >= interpreterId) return begin; + } + return begin; + } + static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) { + int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get()); + if (interpreter_id == -1) return NULL; + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data); + { + __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter); + if (likely(data)) { + __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data); + if (likely(data == new_data)) { + goto read_finished; + } + } + __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter); + __Pyx_ModuleStateLookup_Lock(); + __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter); + data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data); + __Pyx_ModuleStateLookup_Unlock(); + } + read_finished:; + #else + __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data; + #endif + __Pyx_InterpreterIdAndModule* found = NULL; + if (unlikely(!data)) goto end; + if (data->interpreter_id_as_index) { + if (interpreter_id < data->count) { + found = data->table+interpreter_id; + } + } else { + found = __Pyx_State_FindModuleStateLookupTableLowerBound( + data->table, data->count, interpreter_id); + } + end: + { + PyObject *result=NULL; + if (found && found->id == interpreter_id) { + result = found->module; + } + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter); + #endif + return result; + } + } + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) { + while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0); + } + #else + #define __Pyx_ModuleStateLookup_wait_until_no_readers() + #endif + static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) { + Py_ssize_t to_allocate = (*old_data)->allocated; + while (to_allocate <= interpreter_id) { + if (to_allocate == 0) to_allocate = 1; + else to_allocate *= 2; + } + __Pyx_ModuleStateLookupData *new_data = *old_data; + if (to_allocate != (*old_data)->allocated) { + new_data = (__Pyx_ModuleStateLookupData *)realloc( + *old_data, + sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule)); + if (!new_data) { + PyErr_NoMemory(); + return -1; + } + for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) { + new_data->table[i].id = i; + new_data->table[i].module = NULL; + } + new_data->allocated = to_allocate; + } + new_data->table[interpreter_id].module = module; + if (new_data->count < interpreter_id+1) { + new_data->count = interpreter_id+1; + } + *old_data = new_data; + return 0; + } + static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) { + __Pyx_InterpreterIdAndModule *read = data->table; + __Pyx_InterpreterIdAndModule *write = data->table; + __Pyx_InterpreterIdAndModule *end = read + data->count; + for (; readmodule) { + write->id = read->id; + write->module = read->module; + ++write; + } + } + data->count = write - data->table; + for (; writeid = 0; + write->module = NULL; + } + data->interpreter_id_as_index = 0; + } + static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) { + int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get()); + if (interpreter_id == -1) return -1; + int result = 0; + __Pyx_ModuleStateLookup_Lock(); + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *) + __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0); + #else + __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data; + #endif + __Pyx_ModuleStateLookupData *new_data = old_data; + if (!new_data) { + new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData)); + if (!new_data) { + result = -1; + PyErr_NoMemory(); + goto end; + } + new_data->allocated = 1; + new_data->interpreter_id_as_index = 1; + } + __Pyx_ModuleStateLookup_wait_until_no_readers(); + if (new_data->interpreter_id_as_index) { + if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) { + result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id); + goto end; + } + __Pyx_State_ConvertFromInterpIdAsIndex(new_data); + } + { + Py_ssize_t insert_at = 0; + { + __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound( + new_data->table, new_data->count, interpreter_id); + assert(lower_bound); + insert_at = lower_bound - new_data->table; + if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) { + lower_bound->module = module; + goto end; // already in table, nothing more to do + } + } + if (new_data->count+1 >= new_data->allocated) { + Py_ssize_t to_allocate = (new_data->count+1)*2; + new_data = + (__Pyx_ModuleStateLookupData*)realloc( + new_data, + sizeof(__Pyx_ModuleStateLookupData) + + (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule)); + if (!new_data) { + result = -1; + new_data = old_data; + PyErr_NoMemory(); + goto end; + } + new_data->allocated = to_allocate; + } + ++new_data->count; + int64_t last_id = interpreter_id; + PyObject *last_module = module; + for (Py_ssize_t i=insert_at; icount; ++i) { + int64_t current_id = new_data->table[i].id; + new_data->table[i].id = last_id; + last_id = current_id; + PyObject *current_module = new_data->table[i].module; + new_data->table[i].module = last_module; + last_module = current_module; + } + } + end: + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data); + #else + __Pyx_ModuleStateLookup_data = new_data; + #endif + __Pyx_ModuleStateLookup_Unlock(); + return result; + } + static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) { + int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get()); + if (interpreter_id == -1) return -1; + __Pyx_ModuleStateLookup_Lock(); + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *) + __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0); + #else + __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data; + #endif + if (data->interpreter_id_as_index) { + if (interpreter_id < data->count) { + data->table[interpreter_id].module = NULL; + } + goto done; + } + { + __Pyx_ModuleStateLookup_wait_until_no_readers(); + __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound( + data->table, data->count, interpreter_id); + if (!lower_bound) goto done; + if (lower_bound->id != interpreter_id) goto done; + __Pyx_InterpreterIdAndModule *end = data->table+data->count; + for (;lower_boundid = (lower_bound+1)->id; + lower_bound->module = (lower_bound+1)->module; + } + } + --data->count; + if (data->count == 0) { + free(data); + data = NULL; + } + done: + #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE + __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data); + #else + __Pyx_ModuleStateLookup_data = data; + #endif + __Pyx_ModuleStateLookup_Unlock(); + return 0; + } + #endif + +/* #### Code section: utility_code_pragmas_end ### */ +#ifdef _MSC_VER +#pragma warning( pop ) +#endif + + + +/* #### Code section: end ### */ +#endif /* Py_PYTHON_H */ diff --git a/orbitize/_kepler3.pyx b/orbitize/_kepler3.pyx new file mode 100644 index 00000000..7926388c --- /dev/null +++ b/orbitize/_kepler3.pyx @@ -0,0 +1,105 @@ +import numpy as np +cimport numpy as np + +np.import_array() +DTYPE = np.float64 +ctypedef np.float64_t DTYPE_t + +cdef extern from "kepler3.c": + void calc_orbit( + const int n_orbits, + const int n_epochs, + const double epochs[], + const double sma[], + const double ecc[], + const double inc[], + const double aop[], + const double pan[], + const double tau[], + const double plx[], + const double mtot[], + const double mass_for_Kamp[], + const double tau_ref_epoch, + const double tolerance, + const int max_iter, + double raoff[], + double deoff[], + double vz[], + double tanom[] + ) + +cdef extern from "kepler3.c": + void calc_ecc_anom_array( + const int size, + const double manom[], + const double ecc[], + const double tolerance, + const int max_iter, + double eanom[], + ) + +def _calc_orbit( + np.ndarray[DTYPE_t,ndim=1] epochs, + np.ndarray[DTYPE_t,ndim=1] sma, + np.ndarray[DTYPE_t,ndim=1] ecc, + np.ndarray[DTYPE_t,ndim=1] inc, + np.ndarray[DTYPE_t,ndim=1] aop, + np.ndarray[DTYPE_t,ndim=1] pan, + np.ndarray[DTYPE_t,ndim=1] tau, + np.ndarray[DTYPE_t,ndim=1] plx, + np.ndarray[DTYPE_t,ndim=1] mtot, + np.ndarray[DTYPE_t,ndim=1] mass_for_Kamp, + float tau_ref_epoch, + float tolerance, + int max_iter, +): + cdef int n_orbits = sma.shape[0] + cdef int n_epochs = epochs.shape[0] + cdef np.ndarray[DTYPE_t, ndim=1] raoff = np.zeros(n_orbits * n_epochs) + cdef np.ndarray[DTYPE_t, ndim=1] deoff = np.zeros(n_orbits * n_epochs) + cdef np.ndarray[DTYPE_t, ndim=1] vz = np.zeros(n_orbits * n_epochs) + cdef np.ndarray[DTYPE_t, ndim=1] tanom = np.zeros(n_orbits * n_epochs) + + calc_orbit( + n_orbits, + n_epochs, + epochs.data, + sma.data, + ecc.data, + inc.data, + aop.data, + pan.data, + tau.data, + plx.data, + mtot.data, + mass_for_Kamp.data, + tau_ref_epoch, + tolerance, + max_iter, + raoff.data, + deoff.data, + vz.data, + tanom.data) + cdef np.ndarray[DTYPE_t, ndim=2] raoff_ret = raoff.reshape((n_orbits, n_epochs)).T + cdef np.ndarray[DTYPE_t, ndim=2] deoff_ret = deoff.reshape((n_orbits, n_epochs)).T + cdef np.ndarray[DTYPE_t, ndim=2] vz_ret = vz.reshape((n_orbits, n_epochs)).T + cdef np.ndarray[DTYPE_t, ndim=2] tanom_ret = tanom.reshape((n_orbits, n_epochs)).T + return raoff_ret, deoff_ret, vz_ret, tanom_ret + +def _calc_ecc_anom( + np.ndarray[DTYPE_t,ndim=1] manom, + np.ndarray[DTYPE_t,ndim=1] ecc, + float tolerance, + int max_iter, + ): + cdef int size = manom.shape[0] + cdef np.ndarray[DTYPE_t, ndim=1] eanom = np.zeros(size) + calc_ecc_anom_array( + size, + manom.data, + ecc.data, + tolerance, + max_iter, + eanom.data + ) + return eanom \ No newline at end of file diff --git a/orbitize/basis.py b/orbitize/basis.py index 41a582ad..10b5efc6 100644 --- a/orbitize/basis.py +++ b/orbitize/basis.py @@ -1451,7 +1451,7 @@ def standard_to_xyz( 2.0 * np.pi ) # Eccentric anomaly - eanom = kepler._calc_ecc_anom( + eanom = kepler.calc_ecc_anom( manom, ecc, tolerance=tolerance, max_iter=max_iter ) # if eanom.ndim == 1: @@ -1630,4 +1630,4 @@ def tau_to_manom(date, sma, mtot, tau, tau_ref_epoch): float or np.array: mean anomaly on that date [0, 2pi) """ - return kepler.tau_to_manom(date, sma, mtot, tau, tau_ref_epoch) + return kepler.tau_to_manom_py(date, sma, mtot, tau, tau_ref_epoch) diff --git a/orbitize/kepler.c b/orbitize/kepler.c deleted file mode 100644 index 9bcf9961..00000000 --- a/orbitize/kepler.c +++ /dev/null @@ -1,135 +0,0 @@ -#include -#include - -#ifndef M_PI -#define M_PI 3.14159265358979323846 /* pi */ -#endif - -void newton_array(const int n_elements, - const double manom[], - const double ecc[], - const double tol, - const int max_iter, - double eanom[]){ - /* - Vectorized C Newton-Raphson solver for eccentric anomaly. - - Args: - manom (double[]): array of mean anomalies - ecc (double[]): array of eccentricities - eanom0 (double[]): array of first guess for eccentric anomaly, same shape as manom (optional) - Return: - None: eanom (double[]): is changed by reference - - Written: Devin Cody, 2018 - */ - int i; - for (i = 0; i < n_elements; i ++){ - double diff; - int niter = 0; - int half_max = max_iter/2.0; // divide max_iter by 2 using bit shift - - // Let's do one iteration to start with - eanom[i] -= (eanom[i] - (ecc[i] * sin(eanom[i])) - manom[i]) / (1.0 - (ecc[i] * cos(eanom[i]))); - diff = (eanom[i] - (ecc[i] * sin(eanom[i])) - manom[i]) / (1.0 - (ecc[i] * cos(eanom[i]))); - - while ((fabs(diff) > tol) && (niter <= max_iter)){ - eanom[i] -= diff; - - // If it hasn't converged after half the iterations are done, try starting from pi - if (niter == half_max) { - eanom[i] = M_PI; - } - - diff = (eanom[i] - (ecc[i] * sin(eanom[i])) - manom[i]) / (1.0 - (ecc[i] * cos(eanom[i]))); - niter += 1; - } - - // If it has not converged, set eccentricity to -1 to signal that it needs to be - // solved using the analytical version. Note this behavior is a bit different from the - // numpy implementation - if (niter >= max_iter){ - printf("%f %f %f %f >= %d iter\n", manom[i], eanom[i], diff, ecc[i], max_iter); - eanom[i] = -1; - } - } -} - - -void mikkola_array(const int n_elements, const double manom[], const double ecc[], double eanom[]){ - /* - Vectorized C Analtyical Mikkola solver for the eccentric anomaly. - See: S. Mikkola. 1987. Celestial Mechanics, 40, 329-334. - Adapted from IDL routine keplereq.pro by Rob De Rosa http://www.lpl.arizona.edu/~bjackson/idl_code/keplereq.pro - - Args: - manom (double[]): mean anomaly, must be between 0 and pi. - ecc (double[]): eccentricity - eanom0 (double[]): array for eccentric anomaly - Return: - None: eanom (double[]): is changed by reference - - Written: Devin Cody, 2019 - */ - - int i; - double alpha, beta, aux, z, s0, s1, se0, ce0; - double f, f1, f2, f3, f4, u1, u2, u3; - - for (i = 0; i < n_elements; i++){ - alpha = (1.0 - ecc[i]) / ((4.0 * ecc[i]) + 0.5); - beta = (0.5 * manom[i]) / ((4.0 * ecc[i]) + 0.5); - - aux = sqrt(beta*beta + alpha*alpha*alpha); - z = pow(fabs(beta + aux), (1.0/3.0)); - - s0 = z - (alpha/z); - s1 = s0 - (0.078*(pow(s0, 5))) / (1.0 + ecc[i]); - eanom[i] = manom[i] + (ecc[i] * (3.0*s1 - 4.0*(s1*s1*s1))); - - se0=sin(eanom[i]); - ce0=cos(eanom[i]); - - f = eanom[i]-ecc[i]*se0-manom[i]; - f1 = 1.0-ecc[i]*ce0; - f2 = ecc[i]*se0; - f3 = ecc[i]*ce0; - f4 = -f2; - u1 = -f/f1; - u2 = -f/(f1+0.5*f2*u1); - u3 = -f/(f1+0.5*f2*u2+(1.0/6.0)*f3*u2*u2); - eanom[i] += -f/(f1+0.5*f2*u3+(1.0/6.0)*f3*u3*u3+(1.0/24.0)*f4*(u3*u3*u3)); - } -} - - -int main(void){ - // Test functions with a small program - - // Define variables for newton array method - double m[] = {.5, 1, 1.5}; - double ecc[] = {.25, .75, .83}; - double tol = 1e-9; - int mi = 100; - double eanom[] = {0, 0, 0}; - - // test newton_array - // Answer should be: [ 0.65161852, 1.73936894, 2.18046524]) - - newton_array(3, m, ecc, tol, mi, eanom); - int i; - for (i = 0; i < 3; i++){ - printf("eanom[%d] = %f\n", i, eanom[i]); - eanom[i] = 0; - } - - // test mikkola_array - // Answer should be: [ 0.65161852, 1.73936894, 2.18046524]) - - mikkola_array(3, m, ecc, eanom); - for (i = 0; i < 3; i++){ - printf("eanom[%d] = %f\n", i, eanom[i]); - } - - return 0; -} \ No newline at end of file diff --git a/orbitize/kepler.py b/orbitize/kepler.py index c7506686..b408651e 100644 --- a/orbitize/kepler.py +++ b/orbitize/kepler.py @@ -5,17 +5,16 @@ import astropy.units as u import astropy.constants as consts -from orbitize import cuda_ext, cext +from orbitize import cext -if cext: - from . import _kepler +MAX_ITER = 10 +TOLERANCE = 1e-9 +TAU_REF_EPOCH = 58849 -if cuda_ext: - # Configure GPU context for CUDA accelerated compute - from orbitize import gpu_context - kep_gpu_ctx = gpu_context.gpu_context() +if cext: + from . import _kepler3 -def tau_to_manom(date, sma, mtot, tau, tau_ref_epoch): +def tau_to_manom_py(date, sma, mtot, tau, tau_ref_epoch): """ Gets the mean anomlay @@ -23,7 +22,8 @@ def tau_to_manom(date, sma, mtot, tau, tau_ref_epoch): date (float or np.array): MJD sma (float): semi major axis (AU) mtot (float): total mass (M_sun) - tau (float): epoch of periastron, in units of the orbital period + tau (float): fraction of the orbit which is elapsed at the epoch of + periastron passage relative to the reference epoch (in the range [0,1)) tau_ref_epoch (float): reference epoch for tau Returns: @@ -54,7 +54,6 @@ def times2trueanom_and_eccanom( tolerance=1e-9, max_iter=100, use_c=True, - use_gpu=False, ): """ Convert times to true anomaly and eccentric anomaly by solving Kepler's Equation. @@ -69,7 +68,6 @@ def times2trueanom_and_eccanom( tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. use_c (bool, optional): Use the C solver if configured. Defaults to True - use_gpu (bool, optional): Use the GPU solver if configured. Defaults to False Returns: 2-tuple: @@ -83,32 +81,96 @@ def times2trueanom_and_eccanom( n_dates = np.size(epochs) # number of dates to compute offsets and vz - # Necessary for _calc_ecc_anom, for now + # Necessary for calc_ecc_anom, for now if np.isscalar(epochs): # just in case epochs is given as a scalar epochs = np.array([epochs]) - ecc_arr = np.tile(ecc, (n_dates, 1)) - # # compute mean anomaly (size: n_orbs x n_dates) - manom = tau_to_manom(epochs[:, None], sma, mtot, tau, tau_ref_epoch) + # compute mean anomaly (size: n_orbs x n_dates) + manom = tau_to_manom_py(epochs[:, None], sma, mtot, tau, tau_ref_epoch) # compute eccentric anomalies (size: n_orbs x n_dates) - eanom = _calc_ecc_anom(manom, ecc_arr, tolerance=tolerance, max_iter=max_iter, use_c=use_c, use_gpu=use_gpu) + manom_flat = manom.flatten() + ecc_arr = np.tile(ecc, n_dates) + eanom_flat = calc_ecc_anom(manom_flat, ecc_arr, tolerance=tolerance, max_iter=max_iter, use_c=use_c) + eanom = eanom_flat.reshape((n_dates, n_orbs)) # compute the true anomalies (size: n_orbs x n_dates) # Note: matrix multiplication makes the shapes work out here and below - tanom = 2.*np.arctan(np.sqrt((1.0 + ecc)/(1.0 - ecc))*np.tan(0.5*eanom)) + tanom = (2.*np.arctan(np.sqrt((1.0 + ecc)/(1.0 - ecc))*np.tan(0.5*eanom))) - return tanom, eanom + return np.squeeze(tanom)[()], np.squeeze(eanom)[()] +def make_array(obj): + """ + Make a scalar or 1-dimensional numpy array into a c-compatible 1-dimensional numpy array or floats + """ + return np.ascontiguousarray(obj, np.float64) +def calc_orbit_c(epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp=None, tau_ref_epoch=TAU_REF_EPOCH, tolerance=TOLERANCE, max_iter=MAX_ITER): + """ + Returns the right ascension offsets, declination offset, and radial velocities of the body given array of + orbital parameters (size n_orbits) at given epochs (array of size n_epochs) solved in c -def calc_orbit( - epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp=None, tau_ref_epoch=58849, tolerance=1e-9, - max_iter=100, use_c=True, use_gpu=False -): + Based on orbit solvers from James Graham and Rob De Rosa. Adapted by Jason Wang and Henry Ngo. Refactored by Eshel Dror. + Args: + epochs (np.array): MJD times for which we want the positions of the planet + sma (np.array): semi-major axis of orbit [au] + ecc (np.array): eccentricity of the orbit [0,1] + inc (np.array): inclination [radians] + aop (np.array): argument of periastron [radians] + pan (np.array): longitude of the ascending node [radians] + tau (np.array): epoch of periastron passage in fraction of orbital period past MJD=0 [0,1] + plx (np.array): parallax [mas] + mtot (np.array): total mass of the two-body orbit (M_* + M_planet) [Solar masses] + mass_for_Kamp (np.array, optional): mass of the body that causes the RV signal. + For example, if you want to return the stellar RV, this is the planet mass. + If you want to return the planetary RV, this is the stellar mass. [Solar masses]. + For planet mass ~ 0, mass_for_Kamp ~ M_tot, and function returns planetary RV (default). + tau_ref_epoch (float, optional): reference date that tau is defined with respect to (i.e., tau=0) + tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. + max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. + + Return: + 3-tuple: + + raoff (np.array): array-like (n_dates x n_orbs) of RA offsets between the bodies + (origin is at the other body) [mas] + + deoff (np.array): array-like (n_dates x n_orbs) of Dec offsets between the bodies [mas] + + vz (np.array): array-like (n_dates x n_orbs) of radial velocity of one of the bodies + (see `mass_for_Kamp` description) [km/s] + + tanom (np.array): array-like (n_dates x n_orbs) of true anomalies + + Written: Jason Wang, Henry Ngo, 2018 + Updated: Eshel Dror, 2026 """ - Returns the separation and radial velocity of the body given array of - orbital parameters (size n_orbs) at given epochs (array of size n_dates) + epochs = make_array(epochs) + sma = make_array(sma) + ecc = make_array(ecc) + inc = make_array(inc) + aop = make_array(aop) + pan = make_array(pan) + tau = make_array(tau) + plx = make_array(plx) + mtot = make_array(mtot) + if mass_for_Kamp is None: + mass_for_Kamp = mtot + mass_for_Kamp = make_array(mass_for_Kamp) + raoff, deoff, vz, tanom = _kepler3._calc_orbit( + epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp, tau_ref_epoch, tolerance, max_iter, + ) + raoff = np.squeeze(raoff)[()] + deoff = np.squeeze(deoff)[()] + vz = np.squeeze(vz)[()] + tanom = np.squeeze(tanom)[()] + return raoff, deoff, vz, tanom + +def calc_orbit_py(epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp=None, tau_ref_epoch=TAU_REF_EPOCH, tolerance=TOLERANCE, max_iter=MAX_ITER): + """ + Returns the right ascension offsets, declination offset, and radial velocities of the body given array of + orbital parameters (size n_orbits) at given epochs (array of size n_epochs) solved in python Based on orbit solvers from James Graham and Rob De Rosa. Adapted by Jason Wang and Henry Ngo. @@ -129,8 +191,6 @@ def calc_orbit( tau_ref_epoch (float, optional): reference date that tau is defined with respect to (default: 58849) tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. - use_c (bool, optional): Use the C solver if configured. Defaults to True - use_gpu (bool, optional): Use the GPU solver if configured. Defaults to False Return: 3-tuple: @@ -142,16 +202,18 @@ def calc_orbit( vz (np.array): array-like (n_dates x n_orbs) of radial velocity of one of the bodies (see `mass_for_Kamp` description) [km/s] + + tanom (np.array): array-like (n_dates x n_orbs) of true anomalies Written: Jason Wang, Henry Ngo, 2018 + Updated: Eshel Dror, 2026 """ - # return planetary RV if `mass_for_Kamp` is not defined + # return planetary RV if `mass_for_Kamp` is not defined if mass_for_Kamp is None: mass_for_Kamp = mtot - ecc - tanom, eanom = times2trueanom_and_eccanom(sma, epochs, mtot, ecc, tau, tau_ref_epoch=tau_ref_epoch, tolerance=tolerance, max_iter=max_iter, use_c=use_c, use_gpu=use_gpu) + tanom, eanom = times2trueanom_and_eccanom(sma, epochs, mtot, ecc, tau, tau_ref_epoch=tau_ref_epoch, tolerance=tolerance, max_iter=max_iter, use_c=False) # compute 3-D orbital radius of second body (size: n_orbs x n_dates) radius = sma * (1.0 - ecc * np.cos(eanom)) @@ -182,11 +244,57 @@ def calc_orbit( vz = Kv.value * (ecc*np.cos(aop) + np.cos(aop + tanom)) # Squeeze out extra dimension (useful if n_orbs = 1, does nothing if n_orbs > 1) vz = np.squeeze(vz)[()] - return raoff, deoff, vz + return raoff, deoff, vz, tanom + +def calc_orbit(epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp=None, tau_ref_epoch=TAU_REF_EPOCH, tolerance=TOLERANCE, max_iter=MAX_ITER, use_c=True): + """ + Returns the right ascension offsets, declination offset, and radial velocities of the body given array of + orbital parameters (size n_orbits) at given epochs (array of size n_epochs) + + Based on orbit solvers from James Graham and Rob De Rosa. Adapted by Jason Wang and Henry Ngo. + + Args: + epochs (np.array): MJD times for which we want the positions of the planet + sma (np.array): semi-major axis of orbit [au] + ecc (np.array): eccentricity of the orbit [0,1] + inc (np.array): inclination [radians] + aop (np.array): argument of periastron [radians] + pan (np.array): longitude of the ascending node [radians] + tau (np.array): epoch of periastron passage in fraction of orbital period past MJD=0 [0,1] + plx (np.array): parallax [mas] + mtot (np.array): total mass of the two-body orbit (M_* + M_planet) [Solar masses] + mass_for_Kamp (np.array, optional): mass of the body that causes the RV signal. + For example, if you want to return the stellar RV, this is the planet mass. + If you want to return the planetary RV, this is the stellar mass. [Solar masses]. + For planet mass ~ 0, mass_for_Kamp ~ M_tot, and function returns planetary RV (default). + tau_ref_epoch (float, optional): reference date that tau is defined with respect to (i.e., tau=0) + tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. + max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. + + Return: + 3-tuple: + + raoff (np.array): array-like (n_dates x n_orbs) of RA offsets between the bodies + (origin is at the other body) [mas] + + deoff (np.array): array-like (n_dates x n_orbs) of Dec offsets between the bodies [mas] + + vz (np.array): array-like (n_dates x n_orbs) of radial velocity of one of the bodies + (see `mass_for_Kamp` description) [km/s] + + tanom (np.array): array-like (n_dates x n_orbs) of true anomalies + + Written: Jason Wang, Henry Ngo, 2018 + Updated: Eshel Dror, 2026 + """ + if cext and use_c: + return calc_orbit_c(epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp, tau_ref_epoch, tolerance, max_iter) + else: + return calc_orbit_py(epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, mass_for_Kamp, tau_ref_epoch, tolerance, max_iter) -def _calc_ecc_anom(manom, ecc, tolerance=1e-9, max_iter=100, use_c=False, use_gpu=False): +def calc_ecc_anom(manom, ecc, tolerance=TOLERANCE, max_iter=MAX_ITER, use_c=True): """ - Computes the eccentric anomaly from the mean anomlay. + Computes the eccentric anomaly from the mean anomaly. Code from Rob De Rosa's orbit solver (e < 0.95 use Newton, e >= 0.95 use Mikkola) Args: @@ -194,10 +302,39 @@ def _calc_ecc_anom(manom, ecc, tolerance=1e-9, max_iter=100, use_c=False, use_gp ecc (float/np.array): eccentricity, either a scalar or np.array of the same shape as manom tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. - use_c (bool, optional): Use the C solver if configured. Defaults to False - use_gpu (bool, optional): Use the GPU solver if configured. Defaults to False + Return: + eanom (float/np.array): eccentric anomalies, same shape as manom -Return: + Written: Jason Wang, 2018 + Updated: Eshel Dror, 2026 + """ + if cext and use_c: + manom = make_array(manom) + if np.isscalar(ecc): + ecc = np.ones(manom.shape[0]) * ecc + ecc = make_array(ecc) + if (manom.shape == ecc.shape): + pass + else: + raise ValueError("ecc must be a scalar, or ecc.shape == manom.shape") + + eanom = _kepler3._calc_ecc_anom(manom, ecc, tolerance, max_iter) + return np.squeeze(eanom)[()] + else: + return calc_ecc_anom_py(manom, ecc, tolerance, max_iter) + +def calc_ecc_anom_py(manom, ecc, tolerance=TOLERANCE, max_iter=MAX_ITER): + """ + Computes the eccentric anomaly from the mean anomlay in Python. + Code from Rob De Rosa's orbit solver (e < 0.95 use Newton, e >= 0.95 use Mikkola) + + Args: + manom (float/np.array): mean anomaly, either a scalar or np.array of any shape + ecc (float/np.array): eccentricity, either a scalar or np.array of the same shape as manom + tolerance (float, optional): absolute tolerance of iterative computation. Defaults to 1e-9. + max_iter (int, optional): maximum number of iterations before switching. Defaults to 100. + + Return: eanom (float/np.array): eccentric anomalies, same shape as manom Written: Jason Wang, 2018 @@ -231,47 +368,18 @@ def _calc_ecc_anom(manom, ecc, tolerance=1e-9, max_iter=100, use_c=False, use_gp # Now low eccentricities ind_low = np.where(~ecc_zero & ecc_low) if len(ind_low[0]) > 0: - eanom[ind_low] = _newton_solver_wrapper(manom[ind_low], ecc[ind_low], tolerance, max_iter, use_c, use_gpu) + eanom[ind_low] = _newton_solver(manom[ind_low], ecc[ind_low], tolerance, max_iter) # Now high eccentricities - ind_high = np.where(~ecc_zero & ~ecc_low | (eanom == -1)) # The C and CUDA solvers return the unphysical value -1 if they fail to converge + ind_high = np.where(~ecc_zero & ~ecc_low) if len(ind_high[0]) > 0: - eanom[ind_high] = _mikkola_solver_wrapper(manom[ind_high], ecc[ind_high], use_c, use_gpu) + eanom[ind_high] = _mikkola_solver_wrapper(manom[ind_high], ecc[ind_high]) return np.squeeze(eanom)[()] -def _newton_solver_wrapper(manom, ecc, tolerance, max_iter, use_c=False, use_gpu=False): - """ - Wrapper for the various (Python, C, CUDA) implementations of the Newton-Raphson solver - for eccentric anomaly. - - Args: - manom (np.array): array of mean anomalies - ecc (np.array): array of eccentricities - eanom0 (np.array, optional): array of first guess for eccentric anomaly, same shape as manom (optional) - use_c (bool, optional): Use the C solver if configured. Defaults to False - use_gpu (bool, optional): Use the GPU solver if configured. Defaults to False - Return: - eanom (np.array): array of eccentric anomalies - - Written: Devin Cody, 2021 +def _newton_solver(manom, ecc, tolerance=TOLERANCE, max_iter=MAX_ITER, eanom0=None): """ - eanom = np.empty_like(manom) - - if cuda_ext and use_gpu: - # the CUDA solver returns eanom = -1 if it doesnt converge after max_iter iterations - eanom = _CUDA_newton_solver(manom, ecc, tolerance=tolerance, max_iter=max_iter) - elif cext and use_c: - # the C solver returns eanom = -1 if it doesnt converge after max_iter iterations - eanom = _kepler._c_newton_solver(manom, ecc, tolerance=tolerance, max_iter=max_iter) - else: - eanom = _newton_solver(manom, ecc, tolerance=tolerance, max_iter=max_iter) - - return eanom - -def _newton_solver(manom, ecc, tolerance=1e-9, max_iter=100, eanom0=None): - """ - Newton-Raphson solver for eccentric anomaly. + Newton-Raphson solver for eccentric anomaly in python. Args: manom (np.array): array of mean anomalies @@ -308,9 +416,6 @@ def _newton_solver(manom, ecc, tolerance=1e-9, max_iter=100, eanom0=None): niter = 0 while ((ind[0].size > 0) and (niter <= max_iter)): eanom[ind] -= diff[ind] - # If it hasn't converged after half the iterations are done, try starting from pi - if niter == (max_iter//2): - eanom[ind] = np.pi diff[ind] = (eanom[ind] - (ecc[ind] * np.sin(eanom[ind])) - manom[ind]) / \ (1.0 - (ecc[ind] * np.cos(eanom[ind]))) abs_diff[ind] = np.abs(diff[ind]) @@ -318,47 +423,18 @@ def _newton_solver(manom, ecc, tolerance=1e-9, max_iter=100, eanom0=None): niter += 1 if niter >= max_iter: - print(manom[ind], eanom[ind], diff[ind], ecc[ind], '> {} iter.'.format(max_iter)) - eanom[ind] = _mikkola_solver_wrapper(manom[ind], ecc[ind]) # Send remaining orbits to the analytical version, this has not happened yet... + # print(manom[ind], eanom[ind], diff[ind], ecc[ind], '> {} iter.'.format(max_iter)) + eanom[ind] = _mikkola_solver_wrapper(manom[ind], ecc[ind]) # Send remaining orbits to the analytical version return eanom -def _CUDA_newton_solver(manom, ecc, tolerance=1e-9, max_iter=100, eanom0=None): +def _mikkola_solver_wrapper(manom, ecc): """ - Helper function for calling the CUDA implementation of the Newton-Raphson solver for eccentric anomaly. - - Args: - manom (np.array): array of mean anomalies - ecc (np.array): array of eccentricities - eanom0 (np.array, optional): array of first guess for eccentric anomaly, same shape as manom (optional) - Return: - eanom (np.array): array of eccentric anomalies - - Written: Devin Cody, 2021 - """ - global kep_gpu_ctx - - # Ensure manom and ecc are np.array (might get passed as astropy.Table Columns instead) - manom = np.asarray(manom) - ecc = np.asarray(ecc) - eanom = np.empty_like(manom) - tolerance = np.asarray(tolerance, dtype = np.float64) - max_iter = np.asarray(max_iter) - - kep_gpu_ctx.newton(manom, ecc, eanom, eanom0, tolerance, max_iter) - - return eanom - -def _mikkola_solver_wrapper(manom, ecc, use_c=False, use_gpu=False): - """ - Wrapper for the various (Python, C, CUDA) implementations of Analtyical Mikkola solver + Wrapper for the python implementation of Analtyical Mikkola solver Args: manom (np.array): array of mean anomalies between 0 and 2pi ecc (np.array): eccentricity - use_c (bool, optional): Use the C solver if configured. Defaults to False - use_gpu (bool, optional): Use the GPU solver if configured. Defaults to False - Return: eanom (np.array): array of eccentric anomalies @@ -368,20 +444,14 @@ def _mikkola_solver_wrapper(manom, ecc, use_c=False, use_gpu=False): ind_change = np.where(manom > np.pi) manom[ind_change] = (2.0 * np.pi) - manom[ind_change] - if cuda_ext and use_gpu: - eanom = _CUDA_mikkola_solver(manom, ecc) - elif cext and use_c: - eanom = _kepler._c_mikkola_solver(manom, ecc) - else: - eanom = _mikkola_solver(manom, ecc) + eanom = _mikkola_solver(manom, ecc) eanom[ind_change] = (2.0 * np.pi) - eanom[ind_change] return eanom - def _mikkola_solver(manom, ecc): """ - Analtyical Mikkola solver for the eccentric anomaly. See: S. Mikkola. 1987. Celestial Mechanics, 40, 329-334. + Analtyical Mikkola solver for the eccentric anomaly in python. See: S. Mikkola. 1987. Celestial Mechanics, 40, 329-334. Adapted from IDL routine keplereq.pro by Rob De Rosa http://www.lpl.arizona.edu/~bjackson/idl_code/keplereq.pro Args: @@ -417,26 +487,3 @@ def _mikkola_solver(manom, ecc): u4 = -f/(f1+0.5*f2*u3+(1.0/6.0)*f3*u3*u3+(1.0/24.0)*f4*(u3**3.0)) return (e0 + u4) - -def _CUDA_mikkola_solver(manom, ecc): - """ - Helper function for calling the CUDA implementation of the Analtyical Mikkola solver for the eccentric anomaly. - - Args: - manom (float or np.array): mean anomaly, must be between 0 and pi. - ecc (float or np.array): eccentricity - Return: - eanom (np.array): array of eccentric anomalies - - Written: Devin Cody, 2021 - """ - global kep_gpu_ctx - - # Ensure manom and ecc are np.array (might get passed as astropy.Table Columns instead) - manom = np.asarray(manom) - ecc = np.asarray(ecc) - eanom = np.empty_like(manom) - - kep_gpu_ctx.mikkola(manom, ecc, eanom) - - return eanom diff --git a/orbitize/kepler3.c b/orbitize/kepler3.c new file mode 100644 index 00000000..e822f0e2 --- /dev/null +++ b/orbitize/kepler3.c @@ -0,0 +1,323 @@ +#include +#include + +#ifndef M_PI +#define M_PI 3.14159265358979323846 /* pi */ +#endif + +#define PER_CONST 365.2568983840419 +#define KV_CONVERSION 29.7846918319 // sqrt(mu/a) where mu = G [in km3/Msun/s2], a = 149597870.700 km +#define MIKKOLA_THRESHOLD 0.4 + +double positive_mod1( + double x) { + return x - floor(x); + // double value = fmod(x,1.0); + // if (value < 0.) { + // value += 1.0; + // } + // return value; +} + +double tau_to_manom( + const double epoch, + const double period, + const double tau, + const double tau_ref_epoch) { + /* + Converts epoch and tau orbital parameter to mean anomaly + + Args: + epoch (double): epoch in the same units as tau, period, and tau_ref_epoch + period (double): orbital period + tau (double): fraction of the orbit which is elapsed at the epoch of + periastron passage relative to the reference epoch (in the range [0,1)) + tau_ref_epoch (double): reference epoch + + Return: + (double): mean anomaly + */ + double frac_date, mean_anom; + frac_date = positive_mod1((epoch - tau_ref_epoch)/period); + mean_anom = positive_mod1((frac_date - tau)) * 2 * M_PI; + return mean_anom; +} + +double newton_solver( + /* + Newton-Raphson solver for eccentric anomaly. + + Args: + manom (double): mean anomaly + ecc (double): eccentricity + tol (double): absolute tolerance at which to stop + max_iter (int): maximum number of iterations to try + Return: + (double): eccentric anomaly or -1.0 if not converged after maximum number of iterations + + Written: Devin Cody, 2018 + */ + const double manom, + const double ecc, + const double tol, + const int max_iter) { + double diff; + int niter = 0; + double eanom = manom; + + // Let's do one iteration to start with + eanom -= (eanom - (ecc * sin(eanom)) - manom) / (1.0 - (ecc * cos(eanom))); + diff = (eanom - (ecc * sin(eanom)) - manom) / (1.0 - (ecc * cos(eanom))); + + while ((fabs(diff) > tol) && (niter <= max_iter)){ + eanom -= diff; + diff = (eanom - (ecc * sin(eanom)) - manom) / (1.0 - (ecc * cos(eanom))); + niter += 1; + } + + // If it has not converged, set eccentricity to -1 to signal that it needs to be + // solved using the analytical version. Note this behavior is a bit different from the + // numpy implementation + if (niter >= max_iter){ + // printf("%f %f %f %f >= %d iter\n", manom, eanom, diff, ecc, max_iter); + eanom = -1.0; + } + return eanom; +} + +double mikkola_solver(const double manom, const double ecc) { + /* + Analtyical Mikkola solver for the eccentric anomaly. + See: S. Mikkola. 1987. Celestial Mechanics, 40, 329-334. + Adapted from IDL routine keplereq.pro by Rob De Rosa http://www.lpl.arizona.edu/~bjackson/idl_code/keplereq.pro + + Args: + manom (double): mean anomaly, must be between 0 and pi. + ecc (double): eccentricity + Return: + (double): eccentric anomaly + + Written: Devin Cody, 2019 + */ + double eanom; + double alpha, beta, aux, z, s0, s1, se0, ce0; + double f, f1, f2, f3, f4, u1, u2, u3; + + alpha = (1.0 - ecc) / ((4.0 * ecc) + 0.5); + beta = (0.5 * manom) / ((4.0 * ecc) + 0.5); + + aux = sqrt(beta*beta + alpha*alpha*alpha); + z = cbrt(fabs(beta + aux)); + + s0 = z - (alpha/z); + s1 = s0 - (0.078*(pow(s0, 5))) / (1.0 + ecc); + eanom = manom + (ecc * (3.0*s1 - 4.0*(s1*s1*s1))); + + se0=sin(eanom); + ce0=cos(eanom); + + f = eanom-ecc*se0-manom; + f1 = 1.0-ecc*ce0; + f2 = ecc*se0; + f3 = ecc*ce0; + f4 = -f2; + u1 = -f/f1; + u2 = -f/(f1+0.5*f2*u1); + u3 = -f/(f1+0.5*f2*u2+(1.0/6.0)*f3*u2*u2); + eanom += -f/(f1+0.5*f2*u3+(1.0/6.0)*f3*u3*u3+(1.0/24.0)*f4*(u3*u3*u3)); + + return eanom; +} + +double calc_ecc_anom( + const double manom, + const double ecc, + const double tol, + const int max_iter) { + /* + Computes the eccentric anomaly from the mean anomaly. + e < MIKKOLA_THRESHOLD: use Newton solver, e >= MIKKOLA_THRESHOLD: use Mikkola solver + + Args: + manom (double): mean anomaly + ecc (double): eccentricity + tol (double): absolute tolerance of iterative computation + max_iter (int): maximum number of iterations before switching + + Return: + eanom (double): eccentric anomaly + + Written: Eshel Dror, 2026 (based on Python implementation by Jason Wang, 2018) + */ + double eanom = 0.0; + if (ecc == 0.0) { + return manom; + } + if (ecc < MIKKOLA_THRESHOLD) { + eanom = newton_solver(manom, ecc, tol, max_iter); + } + if (ecc >= MIKKOLA_THRESHOLD || eanom == -1.0) { + if (manom > M_PI) { + eanom = 2. * M_PI - mikkola_solver(2. * M_PI - manom, ecc); + } else { + eanom = mikkola_solver(manom, ecc); + } + } + return eanom; +} + +void calc_ecc_anom_array( + const int size, + const double manom[], + const double ecc[], + const double tol, + const int max_iter, + double eanom[]) { + /* + Computes an array of eccentric anomalies from the mean anomalies. + e < MIKKOLA_THRESHOLD: use Newton solver, e >= MIKKOLA_THRESHOLD: use Mikkola solver + + Args: + size (int): size of manom and ecc + manom (double[]): mean anomalies + ecc (double[]): eccentricities + tol (double): absolute tolerance of iterative computation + max_iter (int): maximum number of iterations before switching + eanom (double[]): array to update with eccentric anomalies + + Return: + None (updates eanom with eccentric anomalies) + */ + int i; + for (i = 0; i < size; i++) { + eanom[i] = calc_ecc_anom(manom[i], ecc[i], tol, max_iter); + } +} + +void calc_orbit( + const int n_orbits, + const int n_epochs, + const double epochs[], + const double sma[], + const double ecc[], + const double inc[], + const double aop[], + const double pan[], + const double tau[], + const double plx[], + const double mtot[], + const double mass_for_Kamp[], + const double tau_ref_epoch, + const double tolerance, + const int max_iter, + double raoff[], + double deoff[], + double vz[], + double tanoms[]) { + /* + Calculates the right ascension offsets, declination offset, and radial velocities of the body given array of + orbital parameters (size n_orbits) at given epochs (array of size n_epochs) solved in c + + Based on orbit solvers from James Graham and Rob De Rosa. + Adapted by Jason Wang and Henry Ngo. + Converted and optimized in C by Eshel Dror. + + Args: + n_orbits (int): length of orbital parameter arrays + n_epochs (int): length of epochs array + epochs (double[]): MJD times for which we want the positions of the planet + sma (double[]): semi-major axis of orbit [au] + ecc (double[]): eccentricity of the orbit [0,1] + inc (double[]): inclination [radians] + aop (double[]): argument of periastron [radians] + pan (double[]): longitude of the ascending node [radians] + tau (double[]): epoch of periastron passage in fraction of orbital period past MJD=0 [0,1] + plx (double[]): parallax [mas] + mtot (double[]): total mass of the two-body orbit (M_* + M_planet) [Solar masses] + mass_for_Kamp (double[]): mass of the body that causes the RV signal. + For example, if you want to return the stellar RV, this is the planet mass. + If you want to return the planetary RV, this is the stellar mass. [Solar masses]. + For planet mass ~ 0, mass_for_Kamp ~ M_tot, and function returns planetary RV. + tau_ref_epoch (double): reference date that tau is defined with respect to (i.e., tau=0) + tolerance (double): absolute tolerance of iterative computation + max_iter (int): maximum number of iterations before switching + raoff (double[]): array of length (n_dates x n_orbs) to update with RA offsets between the bodies [mas] + deoff (double[]): array of length (n_dates x n_orbs) to update with Dec offsets between the bodies [mas] + vz (double[]): array of length (n_dates x n_orbs) to update with radial + velocities of one of the bodies according to mass_for_Kamp [km/s] + tanoms (double[]): array of length (n_dates x n_orbs) to update with true anomalies + + Return: + None (updates raoff, deoff, vz, and tanoms with the respective values, with orbit i and epoch j at position i * n_epochs + j) + + Written: Eshel Dror, 2026 + */ + int i, j, k; + double period, manom, eanom, partial_tanom, tanom, radius, c2i2, s2i2, c1, c2, s1, s2, rad_plx, Kv; + // double arg1, arg2; + double ecc_cos_aop, cos_aop, sin_aop; + double cos_p1, sin_p1, cos_p2, sin_p2, c_tanom, s_tanom; + double a, b, b_squared, c, c_squared; + + for (i = 0; i < n_orbits; i ++) { + period = sqrt( + pow(sma[i], 3.0) / (mtot[i]) + ) * PER_CONST; + + c2i2 = pow(cos(0.5*inc[i]),2); + s2i2 = 1.0 - c2i2; // s2i2 = pow(sin(0.5*inc[i]),2); + + partial_tanom = sqrt((1.0 + ecc[i])/(1.0 - ecc[i])); + + Kv = sqrt(1 / (1.0 - pow(ecc[i],2))) * (mass_for_Kamp[i] * + sin(inc[i])) / sqrt(mtot[i]) / sqrt(sma[i]); + Kv *= KV_CONVERSION; + + cos_aop = cos(aop[i]), sin_aop = sin(aop[i]); + ecc_cos_aop = ecc[i]*cos_aop; + + cos_p1 = cos(aop[i] + pan[i]), sin_p1 = sin(aop[i] + pan[i]); + cos_p2 = cos(aop[i] - pan[i]), sin_p2 = sin(aop[i] - pan[i]); + + for (j = 0; j < n_epochs; j++) { + k = i * n_epochs + j; + manom = tau_to_manom(epochs[j], period, tau[i], tau_ref_epoch); + eanom = calc_ecc_anom(manom, ecc[i], tolerance, max_iter); + + // c_tanom = cos(tanom), s_tanom = sin(tanom); + c = partial_tanom * tan(0.5*eanom); + tanom = 2.0*atan(c); + c_squared = c * c; + // c = cos(atan(c)) + a = 1 / sqrt(c_squared + 1); + // b = sin(atan(c)) + b = c * a; + b_squared = b * b; + // c_tanom = cos(2*atan(c)) = 1 - 2 * sin^2(atan(c)) + c_tanom = 1.0 - 2.0 * b_squared; + // s_tan = sin(2*atan(c)) = 2 * sin(atan(c)) * cos(atan(c)) + s_tanom = 2.0 * b * a; + + // arg1 = tanom + aop[i] + pan[i]; + // arg2 = tanom + aop[i] - pan[i]; + // c1 = cos(arg1); + // c2 = cos(arg2); + // s1 = sin(arg1); + // s2 = sin(arg2); + c1 = c_tanom * cos_p1 - s_tanom * sin_p1; + s1 = s_tanom * cos_p1 + c_tanom * sin_p1; + c2 = c_tanom * cos_p2 - s_tanom * sin_p2; + s2 = s_tanom * cos_p2 + c_tanom * sin_p2; + + radius = sma[i] * (1.0 - ecc[i] * cos(eanom)); + rad_plx = radius * plx[i]; + raoff[k] = rad_plx * (c2i2 * s1 - s2i2 * s2); + deoff[k] = rad_plx * (c2i2 * c1 + s2i2 * c2); + + // vz[k] = Kv * (ecc[i] * cos(aop[i]) + cos(aop[i] + tanom)); + vz[k] = Kv * (ecc_cos_aop + (cos_aop * c_tanom - sin_aop * s_tanom)); + + tanoms[k] = tanom; + } + } +} diff --git a/orbitize/plot.py b/orbitize/plot.py index afaf85c1..653b3570 100644 --- a/orbitize/plot.py +++ b/orbitize/plot.py @@ -376,7 +376,7 @@ def plot_orbits( ) # Calculate ra/dec offsets for all epochs of this orbit - raoff0, deoff0, _ = kepler.calc_orbit( + raoff0, deoff0, _, _ = kepler.calc_orbit( epochs[i, :], sma[i], ecc[i], @@ -613,7 +613,7 @@ def plot_orbits( # Calculate ra/dec offsets for all epochs of this orbit if (rv_time_series == True) or (rv_time_series2 == True): - raoff0, deoff0, vz = kepler.calc_orbit( + raoff0, deoff0, vz, _ = kepler.calc_orbit( epochs_seppa[i, :], sma[i], ecc[i], @@ -630,7 +630,7 @@ def plot_orbits( raoff[i, :] = raoff0 deoff[i, :] = deoff0 else: - raoff0, deoff0, _ = kepler.calc_orbit( + raoff0, deoff0, _, _ = kepler.calc_orbit( epochs_seppa[i, :], sma[i], ecc[i], @@ -1179,7 +1179,7 @@ def plot_residuals( ) # Calculate ra/dec offsets for all epochs of this orbit - raoff0, deoff0, _ = kepler.calc_orbit( + raoff0, deoff0, _, _ = kepler.calc_orbit( epochs[i, :], sma[i], ecc[i], @@ -1287,7 +1287,7 @@ def plot_residuals( num_epochs_to_plot, ) - raoff0, deoff0, _ = kepler.calc_orbit( + raoff0, deoff0, _, _ = kepler.calc_orbit( astr_epochs, sma[i], ecc[i], @@ -1300,7 +1300,7 @@ def plot_residuals( tau_ref_epoch=my_results.tau_ref_epoch, ) - raoff2, deoff2, _ = kepler.calc_orbit( + raoff2, deoff2, _, _ = kepler.calc_orbit( epochs_seppa[0], sma[i], ecc[i], @@ -1596,7 +1596,7 @@ def plot_propermotion( ) # Calculate ra/dec offsets for all epochs of this orbit - raoff0, deoff0, _ = kepler.calc_orbit( + raoff0, deoff0, _, _ = kepler.calc_orbit( epochs[i, :], sma[i], ecc[i], diff --git a/orbitize/priors.py b/orbitize/priors.py index f799f648..219c800f 100644 --- a/orbitize/priors.py +++ b/orbitize/priors.py @@ -3,7 +3,7 @@ from astropy import units as u, constants as cst from orbitize import basis -from orbitize.kepler import _calc_ecc_anom +from orbitize.kepler import calc_ecc_anom import scipy.special import scipy.stats @@ -440,6 +440,7 @@ class UniformPrior(Prior): def __init__(self, minval, maxval): self.minval = minval self.maxval = maxval + self.lnprob = np.log(1 / (self.maxval - self.minval)) def __repr__(self): return "Uniform" @@ -487,16 +488,18 @@ def compute_lnprob(self, element_array): Returns: np.array: array of prior probabilities """ - lnprob = np.log(np.ones(np.size(element_array)) / (self.maxval - self.minval)) - - # account for scalar inputs - if np.shape(lnprob) == (): + size = np.size(element_array) + if size == 1: if (element_array > self.maxval) or (element_array < self.minval): - lnprob = -np.inf - else: - lnprob[(element_array > self.maxval) | (element_array < self.minval)] = ( - -np.inf - ) + return -np.inf + else: + return self.lnprob + + lnprob = np.ones(size)*self.lnprob + + lnprob[(element_array > self.maxval) | (element_array < self.minval)] = ( + -np.inf + ) return lnprob @@ -788,7 +791,7 @@ def compute_lnprob(self, element_array): meananom = basis.tau_to_manom( self.epochs, sma, self.mtot, tau, self.tau_ref_epoch ) - eccanom = _calc_ecc_anom(meananom, ecc) + eccanom = calc_ecc_anom(meananom, ecc) # sum Jacobian over all epochs (O'Neil 2019 eq 33) jacobian = np.sum( @@ -824,14 +827,13 @@ def all_lnpriors(params, priors): Returns: float: prior probability of this set of parameters """ - logp = 0.0 - - for param, prior in zip(params, priors): - param = np.array([param]) + logp = np.array(0.0) - logp += np.squeeze(prior.compute_lnprob(param)) + params_2d = params.reshape((-1,1)) # Make each item an array of size 1, i.e. [[1],[2],[3],...] + for param, prior in zip(params_2d, priors): + logp = logp + prior.compute_lnprob(param) - return float(logp) + return logp.item() if __name__ == "__main__": diff --git a/orbitize/sampler.py b/orbitize/sampler.py index 09c23cc3..272d1cc7 100644 --- a/orbitize/sampler.py +++ b/orbitize/sampler.py @@ -353,7 +353,7 @@ def prepare_samples(self, num_samples): meananno = self.epochs[min_epoch] / period_prescale - tau # compute sep/PA of generated orbits - ra, dec, _ = orbitize.kepler.calc_orbit( + ra, dec, _, _ = orbitize.kepler.calc_orbit( self.epochs[min_epoch], sma, ecc, diff --git a/orbitize/system.py b/orbitize/system.py index 33850c39..3548b56b 100644 --- a/orbitize/system.py +++ b/orbitize/system.py @@ -488,7 +488,7 @@ def compute_all_orbits(self, params_arr, epochs=None, comp_rebound=False): mtots[body_num] = mtot # solve Kepler's equation - raoff, decoff, vz_i = kepler.calc_orbit( + raoff, decoff, vz_i, tanom = kepler.calc_orbit( epochs, sma, ecc, @@ -502,9 +502,6 @@ def compute_all_orbits(self, params_arr, epochs=None, comp_rebound=False): tau_ref_epoch=self.tau_ref_epoch, ) - tanom, eanom = kepler.times2trueanom_and_eccanom(sma, epochs, mtot, ecc, tau, tau_ref_epoch=self.tau_ref_epoch) - - R = (sma*(1-ecc**2))/(1+ecc*np.cos(tanom)) z = (R)*(-np.cos(argp)*np.sin(inc)*np.sin(tanom)-np.cos(tanom)*np.sin(inc)*np.sin(argp)) @@ -895,7 +892,7 @@ def generate_synthetic_data( # calculate RA/Dec at three observation epochs # `num_obs` epochs between ~2000 and ~2003 [MJD] - ra, dec, _ = kepler.calc_orbit( + ra, dec, _, _ = kepler.calc_orbit( observation_epochs, sma, ecc, inc, argp, lan, tau, plx, mtot ) diff --git a/setup.py b/setup.py index 291589f4..8c6aff74 100644 --- a/setup.py +++ b/setup.py @@ -2,17 +2,16 @@ import numpy from Cython.Build import cythonize - def get_extensions(): extensions = [] extensions = cythonize( [ - Extension( - "orbitize._kepler", - ["orbitize/_kepler.pyx"], - include_dirs=[numpy.get_include()], - ) - ] + Extension( + "orbitize._kepler3", + ["orbitize/_kepler3.pyx"], + include_dirs=[numpy.get_include()], + ) + ], ) return extensions diff --git a/tests/test_OFTI.py b/tests/test_OFTI.py index 5903d95b..cfb9a65b 100644 --- a/tests/test_OFTI.py +++ b/tests/test_OFTI.py @@ -34,7 +34,7 @@ def test_scale_and_rotate(): sma, ecc, inc, argp, lan, tau, plx, mtot = [samp for samp in samples] - ra, dec, vc = orbitize.kepler.calc_orbit( + ra, dec, vc, _ = orbitize.kepler.calc_orbit( s.epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, tau_ref_epoch=0 ) sep, pa = orbitize.system.radec2seppa(ra, dec) @@ -61,7 +61,7 @@ def test_scale_and_rotate(): plx = samples[:, 6] mtot = samples[:, 7] - ra, dec, vc = orbitize.kepler.calc_orbit( + ra, dec, vc, _ = orbitize.kepler.calc_orbit( s.epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, tau_ref_epoch=0 ) assert np.max(lan) > np.pi @@ -91,7 +91,7 @@ def test_scale_and_rotate(): assert np.max(lan) < np.pi assert np.max(argp) > np.pi and np.max(argp) < 2 * np.pi - ra, dec, vc = orbitize.kepler.calc_orbit( + ra, dec, vc, _ = orbitize.kepler.calc_orbit( s.epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, tau_ref_epoch=0 ) sep, pa = orbitize.system.radec2seppa(ra, dec) diff --git a/tests/test_abs_astrometry.py b/tests/test_abs_astrometry.py index 84f9dc0c..268339be 100644 --- a/tests/test_abs_astrometry.py +++ b/tests/test_abs_astrometry.py @@ -30,7 +30,7 @@ def test_1planet(): epochs = np.linspace(0, 300, 100) + tau_ref_epoch # nearly the full period, MJD - ra_model, dec_model, _ = kepler.calc_orbit( + ra_model, dec_model, _, _ = kepler.calc_orbit( epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=tau_ref_epoch ) diff --git a/tests/test_kepler_solver.py b/tests/test_kepler_solver.py index fa234ced..c2848851 100644 --- a/tests/test_kepler_solver.py +++ b/tests/test_kepler_solver.py @@ -11,13 +11,14 @@ from orbitize import cuda_ext from orbitize import cext -threshold = 1e-5 +solver_threshold = 2e-5 +ecc_threshold = 1e-5 def angle_diff(ang1, ang2): # Return the difference between two angles return np.arctan2(np.sin(ang1 - ang2), np.cos(ang1 - ang2)) -def test_analytical_ecc_anom_solver(use_c = False, use_gpu = False): +def test_analytical_ecc_anom_solver(use_c = False): """ Test orbitize.kepler._calc_ecc_anom() in the analytical solver regime (e > 0.95) by comparing the mean anomaly computed from _calc_ecc_anom() output vs the input mean anomaly @@ -25,12 +26,12 @@ def test_analytical_ecc_anom_solver(use_c = False, use_gpu = False): mean_anoms = np.linspace(0,2.0*np.pi,1000) eccs = np.linspace(0.95,0.999999,100) for ee in eccs: - ecc_anoms = kepler._calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c=use_c, use_gpu = use_gpu) + ecc_anoms = kepler.calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c=use_c) calc_mm = (ecc_anoms - ee*np.sin(ecc_anoms)) % (2*np.pi) # plug solutions into Kepler's equation for meas, truth in zip(calc_mm, mean_anoms): - assert angle_diff(meas, truth) == pytest.approx(0.0, abs=threshold) + assert angle_diff(meas, truth) == pytest.approx(0.0, abs=ecc_threshold) -def test_iterative_ecc_anom_solver(use_c = False, use_gpu = False): +def test_iterative_ecc_anom_solver(use_c = False): """ Test orbitize.kepler._calc_ecc_anom() in the iterative solver regime (e < 0.95) by comparing the mean anomaly computed from _calc_ecc_anom() output vs the input mean anomaly @@ -38,10 +39,10 @@ def test_iterative_ecc_anom_solver(use_c = False, use_gpu = False): mean_anoms = np.linspace(0,2.0*np.pi,100) eccs = np.linspace(0,0.9499999,100) for ee in eccs: - ecc_anoms = kepler._calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c=use_c, use_gpu = use_gpu) + ecc_anoms = kepler.calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c=use_c) calc_ma = (ecc_anoms - ee*np.sin(ecc_anoms)) % (2*np.pi) # plug solutions into Kepler's equation for meas, truth in zip(calc_ma, mean_anoms): - assert angle_diff(meas, truth) == pytest.approx(0.0, abs=threshold) + assert angle_diff(meas, truth) == pytest.approx(0.0, abs=ecc_threshold) def test_c_ecc_anom_solver(): """ @@ -52,12 +53,6 @@ def test_c_ecc_anom_solver(): test_iterative_ecc_anom_solver(use_c = True) test_analytical_ecc_anom_solver(use_c = True) -def test_pycuda_ecc_anom_solver(): - if cuda_ext: - test_iterative_ecc_anom_solver(use_gpu = True) - test_analytical_ecc_anom_solver(use_gpu = True) - - def test_orbit_e03(): """ @@ -69,7 +64,7 @@ def test_orbit_e03(): # sma, ecc, inc, argp, lan, tau, plx, mtot orbital_params = np.array([10, 0.3, 3, 0.5, 1.5, 0.3, 50, 1.5]) epochs = np.array([1000, 1101.4]) - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, orbital_params[0], orbital_params[1], orbital_params[2], orbital_params[3], orbital_params[4], orbital_params[5], orbital_params[6], orbital_params[7], tau_ref_epoch=0 @@ -80,11 +75,11 @@ def test_orbit_e03(): true_vz = [.86448656, .97591289] for meas, truth in zip(raoffs, true_raoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(deoffs, true_deoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(vzs, true_vz): - assert truth == pytest.approx(meas, abs=1e-8) + assert truth == pytest.approx(meas, rel=solver_threshold) def test_orbit_e03_array(): """ @@ -100,7 +95,7 @@ def test_orbit_e03_array(): plx = np.array([50,50,50]) mtot = np.array([1.5,1.5,1.5]) epochs = np.array([1000, 1101.4]) - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, tau_ref_epoch=0 ) @@ -113,11 +108,11 @@ def test_orbit_e03_array(): for ii in range(0,3): for meas, truth in zip(raoffs[:, ii], true_raoff[:,ii]): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(deoffs[:, ii], true_deoff[:, ii]): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(vzs[:, ii], true_vz[:, ii]): - assert truth == pytest.approx(meas, abs=1e-8) + assert truth == pytest.approx(meas, rel=solver_threshold) def test_orbit_e99(): @@ -127,7 +122,7 @@ def test_orbit_e99(): # sma, ecc, inc, argp, lan, tau, plx, mtot orbital_params = np.array([10, 0.99, 3, 0.5, 1.5, 0.3, 50, 1.5]) epochs = np.array([1000, 1101.4]) - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, orbital_params[0], orbital_params[1], orbital_params[2], orbital_params[3], orbital_params[4], orbital_params[5], orbital_params[6], orbital_params[7], tau_ref_epoch=0 @@ -138,11 +133,11 @@ def test_orbit_e99(): true_vz = [.39208876, .42041953] for meas, truth in zip(raoffs, true_raoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(deoffs, true_deoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(vzs, true_vz): - assert truth == pytest.approx(meas, abs=1e-8) + assert truth == pytest.approx(meas, rel=solver_threshold) def test_orbit_with_mass(): """ @@ -154,7 +149,7 @@ def test_orbit_with_mass(): # sma, ecc, inc, argp, lan, tau, plx, mtot orbital_params = np.array([10, 0.99, 3, 0.5, 1.5, 0.3, 50, 1.5]) epochs = np.array([1000, 1101.4]) - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, orbital_params[0], orbital_params[1], orbital_params[2], orbital_params[3], orbital_params[4], orbital_params[5], orbital_params[6], orbital_params[7], mass_for_Kamp=orbital_params[7]/2, @@ -166,11 +161,11 @@ def test_orbit_with_mass(): true_vz = [.39208876/2, .42041953/2] for meas, truth in zip(raoffs, true_raoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(deoffs, true_deoff): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(vzs, true_vz): - assert truth == pytest.approx(meas, abs=1e-8) + assert truth == pytest.approx(meas, rel=solver_threshold) def test_orbit_with_mass_array(): """ @@ -187,7 +182,7 @@ def test_orbit_with_mass_array(): mtot = np.array([1.5,1.5,1.5]) epochs = np.array([1000, 1101.4]) mass = mtot/2 - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, mass_for_Kamp=mass, tau_ref_epoch=0 ) @@ -202,11 +197,11 @@ def test_orbit_with_mass_array(): for ii in range(0,3): for meas, truth in zip(raoffs[:, ii], true_raoff[:, ii]): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(deoffs[:, ii], true_deoff[:, ii]): - assert truth == pytest.approx(meas, abs=threshold) + assert truth == pytest.approx(meas, rel=solver_threshold) for meas, truth in zip(vzs[:, ii], true_vz[:, ii]): - assert truth == pytest.approx(meas, abs=1e-8) + assert truth == pytest.approx(meas, rel=solver_threshold) def test_orbit_scalar(): """ @@ -221,7 +216,7 @@ def test_orbit_scalar(): plx = 50 mtot = 1.5 epochs = 1000 - raoffs, deoffs, vzs = kepler.calc_orbit( + raoffs, deoffs, vzs, _ = kepler.calc_orbit( epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, tau_ref_epoch=0 ) @@ -229,11 +224,11 @@ def test_orbit_scalar(): true_deoff = -462.91038 true_vz = .86448656 - assert true_raoff == pytest.approx(raoffs, abs=threshold) - assert true_deoff == pytest.approx(deoffs, abs=threshold) - assert true_vz == pytest.approx(vzs, abs=1e-8) + assert true_raoff == pytest.approx(raoffs, rel=solver_threshold) + assert true_deoff == pytest.approx(deoffs, rel=solver_threshold) + assert true_vz == pytest.approx(vzs, rel=solver_threshold) -def profile_iterative_ecc_anom_solver(n_orbits = 1000, use_c = True, use_gpu = False): +def profile_iterative_ecc_anom_solver(n_orbits = 1000, use_c = True): """ Test orbitize.kepler._calc_ecc_anom() in the iterative solver regime (e < 0.95) by comparing the mean anomaly computed from _calc_ecc_anom() output vs the input mean anomaly @@ -242,9 +237,9 @@ def profile_iterative_ecc_anom_solver(n_orbits = 1000, use_c = True, use_gpu = F mean_anoms=np.linspace(0, 2.0*np.pi,n_orbits) eccs=np.linspace(0,0.9499999, n_orbits) for ee in eccs: - ecc_anoms = kepler._calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c = use_c, use_gpu = use_gpu) + ecc_anoms = kepler.calc_ecc_anom(mean_anoms, ee, tolerance=1e-9, use_c = use_c) -def profile_mikkola_ecc_anom_solver(n_orbits = 1000, use_c = True, use_gpu = False): +def profile_mikkola_ecc_anom_solver(n_orbits = 1000, use_c = True): """ Test orbitize.kepler._calc_ecc_anom() in the iterative solver regime (e < 0.95) by comparing the mean anomaly computed from _calc_ecc_anom() output vs the input mean anomaly @@ -252,23 +247,53 @@ def profile_mikkola_ecc_anom_solver(n_orbits = 1000, use_c = True, use_gpu = Fal mean_anoms=np.linspace(0, 2.0*np.pi,n_orbits) eccs=np.linspace(.95,0.999999, n_orbits) for ee in eccs: - ecc_anoms = kepler._calc_ecc_anom(mean_anoms, ee, use_c = use_c, use_gpu = use_gpu) + ecc_anoms = kepler.calc_ecc_anom(mean_anoms, ee, use_c = use_c) + +def profile_solver(reps, n_params, n_epochs, **kwargs): + sma = np.array([10,10,10]).repeat(n_params) + ecc = np.array([0.3,0.3,0.99]).repeat(n_params) + inc = np.array([3,3,3]).repeat(n_params) + argp = np.array([0.5,0.5,0.5]).repeat(n_params) + lan = np.array([1.5,1.5,1.5]).repeat(n_params) + tau = np.array([0.3,0.3,0.3]).repeat(n_params) + plx = np.array([50,50,50]).repeat(n_params) + mtot = np.array([1.5,1.5,1.5]).repeat(n_params) + epochs = np.array([1000, 1101.4]).repeat(n_epochs) + mass = mtot/2 + for i in range(reps): + kepler.calc_orbit(epochs, sma, ecc, inc, argp, lan, tau, plx, mtot, mass, 0, **kwargs) + +def profile_solve(reps=10, n_params=100000, n_epochs=5): + profile_name = "Profile.prof" + d = dict() + + cProfile.runctx("profile_solver(reps=reps, n_params = n_params, n_epochs = n_epochs, max_iter=10, tolerance=1e-9)", globals(), locals(), profile_name) + s = pstats.Stats(profile_name) + d[f"K3\t{n_params}\t{n_epochs}\t{reps}"] = s.__dict__["total_tt"] + + cProfile.runctx("profile_solver(reps=reps, n_params = n_params, n_epochs = n_epochs, K3=False)", globals(), locals(), profile_name) + s = pstats.Stats(profile_name) + d[f"K2\t{n_params}\t{n_epochs}\t{reps}"] = s.__dict__["total_tt"] + + cProfile.runctx("profile_solver(reps=reps, n_params = n_params, n_epochs = n_epochs, K2=False)", globals(), locals(), profile_name) + s = pstats.Stats(profile_name) + d[f"K1\t{n_params}\t{n_epochs}\t{reps}"] = s.__dict__["total_tt"] + + cProfile.runctx("profile_solver(reps=reps, n_params = n_params, n_epochs = n_epochs, K2=False, use_c=False)", globals(), locals(), profile_name) + s = pstats.Stats(profile_name) + d[f"Py\t{n_params}\t{n_epochs}\t{reps}"] = s.__dict__["total_tt"] + + for i in d.keys(): + print(f"{i}\t{d[i]:.2f}") + + os.remove(profile_name) + def profile_all(n_orbits, print_profiles = False): profile_name = "Profile.prof" n_print_lines = 15 d = dict() - if cuda_ext: - cProfile.runctx("profile_iterative_ecc_anom_solver(n_orbits = n_orbits, use_c = False, use_gpu = True)", globals(), locals(), profile_name) - s = pstats.Stats(profile_name) - if print_profiles: - print("Profiling Newton: CUDA with {} orbits".format(n_orbits**2)) - s.strip_dirs().sort_stats("time").print_stats(n_print_lines) - d["Newton GPU Solver"] = s.__dict__["total_tt"] - else: - print("System not configured for CUDA") - if cext: cProfile.runctx("profile_iterative_ecc_anom_solver(n_orbits = n_orbits, use_c = True)", globals(), locals(), profile_name) s = pstats.Stats(profile_name) @@ -287,7 +312,7 @@ def profile_all(n_orbits, print_profiles = False): d["Newton Python Solver"] = s.__dict__["total_tt"] if cuda_ext: - cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = False, use_gpu = True)", globals(), locals(), profile_name) + cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = False)", globals(), locals(), profile_name) s = pstats.Stats(profile_name) if print_profiles: print("Profiling Mikkola: CUDA with {} orbits".format(n_orbits**2)) @@ -295,14 +320,14 @@ def profile_all(n_orbits, print_profiles = False): d["Mikkola GPU Solver"] = s.__dict__["total_tt"] if cext: - cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = True, use_gpu = False)", globals(), locals(), profile_name) + cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = True)", globals(), locals(), profile_name) s = pstats.Stats(profile_name) if print_profiles: print("Profiling Mikkola: C with {} orbits".format(n_orbits**2)) s.strip_dirs().sort_stats("time").print_stats(n_print_lines) d["Mikkola C Solver"] = s.__dict__["total_tt"] - cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = False, use_gpu = False)", globals(), locals(), profile_name) + cProfile.runctx("profile_mikkola_ecc_anom_solver(n_orbits = n_orbits, use_c = False)", globals(), locals(), profile_name) s = pstats.Stats(profile_name) if print_profiles: print("Profiling Mikkola: Python with {} orbits".format(n_orbits**2)) @@ -323,11 +348,20 @@ def profile_all(n_orbits, print_profiles = False): profile_all(n_orbits) print("Done!") + elif len(sys.argv) > 1 and sys.argv[1] == '-profile2': + try: + n_params = int(sys.argv[2]) + n_epochs = int(sys.argv[3]) + reps = int(sys.argv[4]) + except: + n_params = 100000 + n_epochs = 5 + reps = 10 + profile_solve(reps, n_params, n_epochs) else: test_analytical_ecc_anom_solver() test_iterative_ecc_anom_solver() test_c_ecc_anom_solver() - test_pycuda_ecc_anom_solver() test_orbit_e03() test_orbit_e03_array() test_orbit_e99() diff --git a/tests/test_multiplanet.py b/tests/test_multiplanet.py index 3315b564..da5e84e6 100644 --- a/tests/test_multiplanet.py +++ b/tests/test_multiplanet.py @@ -36,7 +36,7 @@ def test_compute_model(): np.linspace(0, period_c * 365.25, 5) + tau_ref_epoch ) # the full period of c, MJD - ra_model, dec_model, vz_model = kepler.calc_orbit( + ra_model, dec_model, vz_model, _ = kepler.calc_orbit( epochs, b_params[0], b_params[1], @@ -135,7 +135,7 @@ def test_fit_selfconsist(): ) # the full period of b, MJD # comptue Keplerian orbit of b - ra_model_b, dec_model_b, vz_model = kepler.calc_orbit( + ra_model_b, dec_model_b, vz_model, _ = kepler.calc_orbit( epochs, b_params[0], b_params[1], @@ -150,7 +150,7 @@ def test_fit_selfconsist(): ) # comptue Keplerian orbit of c - ra_model_c, dec_model_c, vz_model_c = kepler.calc_orbit( + ra_model_c, dec_model_c, vz_model_c, _ = kepler.calc_orbit( epochs, c_params[0], c_params[1], diff --git a/tests/test_multiplanet_rebound.py b/tests/test_multiplanet_rebound.py index 9da159b1..6e8cb8b1 100644 --- a/tests/test_multiplanet_rebound.py +++ b/tests/test_multiplanet_rebound.py @@ -43,7 +43,7 @@ def test_1planet(): epochs = np.linspace(0, 300, 100) + tau_ref_epoch # nearly the full period, MJD - ra_model, dec_model, vz_model = kepler.calc_orbit( + ra_model, dec_model, vz_model, _ = kepler.calc_orbit( epochs, sma, ecc, inc, aop, pan, tau, plx, mtot, tau_ref_epoch=tau_ref_epoch ) @@ -173,7 +173,7 @@ def test_2planet_massive(): # doesn't matter that this is right, just needs to be the same size. below doesn't # include effect of c # just want to generate some measurements of plaent b to test compute model - b_ra_model, b_dec_model, b_vz_model = kepler.calc_orbit( + b_ra_model, b_dec_model, b_vz_model, _ = kepler.calc_orbit( epochs, params[0], params[1], @@ -427,7 +427,7 @@ def test_2planet_massive_reverse_order(): # doesn't matter that this is right, just needs to be the same size. below doesn't # include effect of c # just want to generate some measurements of plaent b to test compute model - b_ra_model, b_dec_model, b_vz_model = kepler.calc_orbit( + b_ra_model, b_dec_model, b_vz_model, _ = kepler.calc_orbit( epochs, params[6 + 0], params[6 + 1], @@ -584,7 +584,7 @@ def test_2planet_nomass(): # doesn't matter that this is right, just needs to be the same size. below # doesn't include effect of c # just want to generate some measurements of plaent b to test compute model - b_ra_model, b_dec_model, b_vz_model = kepler.calc_orbit( + b_ra_model, b_dec_model, b_vz_model, _ = kepler.calc_orbit( epochs, params[0], params[1], diff --git a/tests/test_rebound.py b/tests/test_rebound.py index 0a53ae4e..8f8c091d 100644 --- a/tests/test_rebound.py +++ b/tests/test_rebound.py @@ -35,6 +35,7 @@ num_secondary_bodies = 4 epochs = Time(np.linspace(2020, 2022, num=int(1000)), format="decimalyear").mjd +epochs2 = Time(np.linspace(2020, 2080, num=int(1000)), format="decimalyear").mjd sma1 = sma[0] ecc1 = ecc[0] @@ -110,6 +111,104 @@ ] ) +params_arr_1planet = np.array( + [ + sma1, + ecc1, + inc1, + aop1, + pan1, + tau1, + plx, + mtot + ] +) + +hr8799_sys_1planet = System( + 1, + data_table, + mtot, + plx, + fit_secondary_mass=False, + tau_ref_epoch=tau_ref_epoch, +) + + +def test_8799_1planet_rebound_vs_kepler(plotname=None): + assert not hr8799_sys_1planet.track_planet_perturbs + + rra, rde, rvz, _ = hr8799_sys_1planet.compute_all_orbits( + params_arr_1planet, epochs=epochs2, comp_rebound=True + ) + kra, kde, kvz, _ = hr8799_sys_1planet.compute_all_orbits( + params_arr_1planet, epochs=epochs2, comp_rebound=False + ) + + delta_ra = abs(rra - kra) + delta_de = abs(rde - kde) + delta_vz = abs(rvz - kvz) + + yepochs = Time(epochs2, format="mjd").decimalyear + + assert np.max(delta_ra) < 2 * 1e-3 + assert np.max(delta_de) < 2 * 1e-3 + # assert np.max(delta_vz) < 10 * 1e-3 + + if plotname is not None: + # plot 1: RA & Dec differences over time + fig, (ax1, ax2, ax3) = plt.subplots(3) + fig.suptitle("Non-Massive Orbits in Rebound vs. Orbitize approx.") + + ax1.plot(yepochs, delta_ra[:, 0], "black", label="Star") + ax2.plot(yepochs, delta_de[:, 0], "dimgray", label="Star") + ax3.plot(yepochs, delta_vz[:, 0], "dimgray", label="Star") + + ax1.plot( + yepochs, delta_ra[:, 1], "brown", label="Planet E: RA offsets" + ) # first planet + ax2.plot(yepochs, delta_de[:, 1], "red", label="Planet E: Dec offsets") + ax3.plot(yepochs, delta_vz[:, 1], "red", label="Planet E: Vz offsets") + + plt.xlabel("year") + ax1.set_ylabel("milliarcseconds") + ax2.set_ylabel("milliarcseconds") + ax3.set_ylabel("m/s") + ax1.legend() + ax2.legend() + ax3.legend() + plt.savefig("{}_differences.png".format(plotname), dpi=250) + + # plot 2: orbit tracks over time + fig, (ax1, ax2) = plt.subplots(2) + ax1.plot(kra[:, 1, 0], kde[:, 1, 0], "indigo", label="Orbitize approx.") + ax1.plot(kra[-1, 1, 0], kde[-1, 1, 0], "o") + + ax1.plot(rra[:, 1, 0], rde[:, 1, 0], "r", label="Rebound", alpha=0.25) + ax1.plot(rra[-1, 1, 0], rde[-1, 1, 0], "o", alpha=0.25) + + ax1.plot(0, 0, "*") + ax1.legend() + + ax2.plot(yepochs, kvz[:, 1, 0], "indigo", label="Orbitize approx", alpha=0.25) + ax2.plot(yepochs, rvz[:, 1, 0], "r", label="Rebound") + ax2.legend() + plt.savefig("{}_orbittracks.png".format(plotname), dpi=250) + + # plot 3: primary orbit track over time + fig, (ax1, ax2) = plt.subplots(2) + ax1.plot(kra[:, 0, 0], kde[:, 0, 0], "indigo", label="Orbitize approx.") + ax1.plot(kra[-1, 0, 0], kde[-1, 0, 0], "o") + + ax1.plot(rra[:, 0], rde[:, 0], "r", label="Rebound", alpha=0.25) + ax1.plot(rra[-1, 0], rde[-1, 0], "o", alpha=0.25) + + ax1.plot(0, 0, "*") + ax1.legend() + + ax2.plot(yepochs, kvz[:, 0, 0], "indigo", label="Orbitize approx", alpha=0.25) + ax2.plot(yepochs, rvz[:, 0, 0], "r", label="Rebound") + ax2.legend() + plt.savefig("{}_primaryorbittrack.png".format(plotname), dpi=250) def test_8799_rebound_vs_kepler(plotname=None): """ @@ -224,5 +323,6 @@ def test_rebound_mcmc(): if __name__ == "__main__": - test_8799_rebound_vs_kepler() + # test_8799_rebound_vs_kepler(plotname="hr8799_diffs") # test_rebound_mcmc() + test_8799_1planet_rebound_vs_kepler(plotname="K3_regular")