Commits

Anthony Scopatz  committed c2c818f

Updated for transposed theta.

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  • Parent commits 4556485

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Files changed (1)

File cylpixelizer.ipynb

       "import numpy as np\n",
       "import matplotlib.pyplot as plt\n",
       "from yt.mods import *\n",
-      "pf = load('cylindrical_data/nif2013_hdf5_plt_cnt_0006')"
+      "pf = load('cylindrical_data/s15_l1.7_0.5km_ls_hdf5_plt_cnt_1152')"
      ],
      "language": "python",
      "metadata": {},
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [WARNING  ] 2012-08-21 10:06:24,392 integer runtime parameter checkpointfilenumber overwrites a simulation scalar of the same name\n"
+        "yt : [WARNING  ] 2012-08-21 11:14:43,388 integer runtime parameter checkpointfilenumber overwrites a simulation scalar of the same name\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [WARNING  ] 2012-08-21 10:06:24,393 integer runtime parameter forcedplotfilenumber overwrites a simulation scalar of the same name\n"
+        "yt : [WARNING  ] 2012-08-21 11:14:43,388 integer runtime parameter forcedplotfilenumber overwrites a simulation scalar of the same name\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [WARNING  ] 2012-08-21 10:06:24,394 integer runtime parameter nbegin overwrites a simulation scalar of the same name\n"
+        "yt : [WARNING  ] 2012-08-21 11:14:43,389 integer runtime parameter nbegin overwrites a simulation scalar of the same name\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [WARNING  ] 2012-08-21 10:06:24,394 integer runtime parameter plotfilenumber overwrites a simulation scalar of the same name\n"
+        "yt : [WARNING  ] 2012-08-21 11:14:43,390 integer runtime parameter plotfilenumber overwrites a simulation scalar of the same name\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [INFO     ] 2012-08-21 10:06:24,402 Parameters: current_time              = 8.00057343882e-10\n"
+        "yt : [INFO     ] 2012-08-21 11:14:43,395 Parameters: current_time              = 1.15200044683\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [INFO     ] 2012-08-21 10:06:24,403 Parameters: domain_dimensions         = [48 96  1]\n"
+        "yt : [INFO     ] 2012-08-21 11:14:43,396 Parameters: domain_dimensions         = [ 80 160   1]\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [INFO     ] 2012-08-21 10:06:24,404 Parameters: domain_left_edge          = [ 0.     -1.2288  0.    ]\n"
+        "yt : [INFO     ] 2012-08-21 11:14:43,397 Parameters: domain_left_edge          = [  0.00000000e+00  -5.00000000e+08   0.00000000e+00]\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [INFO     ] 2012-08-21 10:06:24,405 Parameters: domain_right_edge         = [ 1.2288      1.2288      6.28318531]\n"
+        "yt : [INFO     ] 2012-08-21 11:14:43,398 Parameters: domain_right_edge         = [  5.00000000e+08   5.00000000e+08   6.28318531e+00]\n"
        ]
       },
       {
        "output_type": "stream",
        "stream": "stderr",
        "text": [
-        "yt : [INFO     ] 2012-08-21 10:06:24,407 Parameters: cosmological_simulation   = 0.0\n"
+        "yt : [INFO     ] 2012-08-21 11:14:43,399 Parameters: cosmological_simulation   = 0.0\n"
        ]
       }
      ],
-     "prompt_number": 8
+     "prompt_number": 37
     },
     {
      "cell_type": "code",
       "\n",
       "imax = px.argmax()\n",
       "pxmax = px[imax] + pdx[imax]\n",
+      "pxmax = 5E7\n",
+      "\n",
       "\n",
       "img = np.zeros((512, 512))\n",
       "extents = [-pxmax, pxmax] * 2\n",
       "    while theta < theta0 + dtheta:\n",
       "        r = r0 - dr\n",
       "        while r < r0 + dr:\n",
+      "            if pxmax <= r:\n",
+      "                r += 0.5*dx \n",
+      "                continue\n",
       "            x, y = r * np.cos(theta), r * np.sin(theta)\n",
-      "            #pi, pj = int((x + r)/dx), int((y + r)/dy)\n",
       "            pi, pj = int((x + pxmax)/dx), int((y + pxmax)/dy)\n",
-      "            img[pi, pj] = field[i]\n",
+      "            #img[pi, pj] = field[i]\n",
+      "            img[pi, pj] = theta\n",
       "            r += 0.5*dx \n",
       "        theta += dthetamin\n",
       "\n",
-      "plt.imshow(img, cmap='hot')\n",
+      "plt.imshow(img.T, origin='lower', cmap='hot')\n",
       "plt.colorbar()"
      ],
      "language": "python",
      "outputs": [
       {
        "output_type": "pyout",
-       "prompt_number": 35,
+       "prompt_number": 48,
        "text": [
-        "<matplotlib.colorbar.Colorbar instance at 0x7f4b8e89d9e0>"
+        "<matplotlib.colorbar.Colorbar instance at 0x4a97e60>"
        ]
       },
       {
        "output_type": "display_data",
-       "png": 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yxlt7RDy8XVsArT0BAD95uUJ59pzhg6lB6LzR0I2oKStHGW2aKXo6JhsymZKb\nlREs53rLrrFLWLm5uXj22WeNDz+Li4vx+OOPQ6vVokOH+zcrKytDTEwMjh0z9BSmTp2K+Ph443GI\nJuMQagkYw2SjZ/DLKDhdaO/bE9Ls7NN8g16RwdwluvbmywGA7IZ1LbNu3brh999/h7d3ww0fFAoF\nUlJSIJfLER8fj4MHD6J9+6YDEnRlRNrXHwt5e0KItXheGVH/IWb9A6wB4Msvv8SkSZMQFxeHyZMn\nm01ygMAtusrK2/DxiLb37Qlpdq5V7Iebuyt3LTpPlmXLxbGoX9Ct1N3daQ8TQuzBzZ3jHZxFtLyL\nDcEX9c+eN0HoEAhxaHPmc/i0tY7EFvXT4TiEODo+eo4Sa9EJOkZXh6aZEMIfXb3fNc7G6Bpf8NSw\nLCOOMTrBu64A0CsyWOgQCHFInI/N1WIYdi+xoK4rIQ4sOKQ7L/WKaPiNFVF0XQHqvhLCB91Dv2dc\ndV3vsCzrDHF0XalFRwixmNRadJToCHFQQ17i4pjLxkkt0YniYQTA8V5ZhBB8tWoOb3VL7MgI8bTo\nvLxZrikhhLDC57ksf/FWMz9E06KTyWT4et0CocMgxCE80d2X1/qpRWeDkB5PCh0CIQ5h089LeK1f\namN0Ikt0fkKHQIhDCA7lt9EgptYaG6LputZ5efRzQodAiKSNnTiM93tIbE2/+BLdmvWfCB0CIZKW\nuvIj3u/BZ6Izd67r6tWr0bt3b/Ts2RMzZsxgVafoEh3A79MiQhyZd7s2drkPXw8jzJ3rWlpaiuTk\nZGRlZSE7OxtnzpxBZmam2XpFmejozFdCrGOv+ah3Wb4sZe5cV1dXVzAMg7KyMuj1ety+fRteXl5m\n6xVloiOEiBsfXVc257q6uroiLS0NXbt2RceOHdGnTx9ERkaarVtUT13r23t4Dfo//ZbQYRAiGfs0\n39jtXqaSWDaAnCauGzBgAK5evdrg/YULF2LRokXYuXOn8b3GNgO4fv06EhMTcfr0aXh5eWHEiBHY\nunWruI87NId2NCGEvYd3KmkMV7uXHGNZVgFuz3XdunUr1q1bh02bNgEA0tLScPHiRSxevLjJ+kXd\ndV2w6B2hQyBEEuYk8XAuRBO47rqGhITgzz//RGFhIQoLC+Hr64ujR48+kOQAoG/fvsjJyUFpaSnu\n3LmD7du3Y+DAgWbrF3Wie/fDN4UOgRBJsPchU3zPozN1rqunpyfmzp2LoUOH4plnnkFYWBj69+9v\nvj4xd10X2YTvAAAQ00lEQVQBIFr1JnK0eTxHRIh0/bJ9GQbEP82qLFdd18Msyz4NcWy8KfpEB9BY\nHSFNYTM2V4erRLefZdl+EEeiE3XXtQ7tVUdI48IjAgS5r9SWgIl2ekl99prtTYjU7D74f4LcV0xJ\njA1JtOgA+z9VIkTs1qz/BC6uzoLcW2r70UlijK6Ol3Nv/PWXNQtLCHEsrVq1xM07v1l8HVdjdNtZ\nln0eNEZnsU+/mCl0CISIwuKlswS9P7Xo2NzUyhYdADzq3g+3dXqOIyJEOrzbtbH6AR1XLbqfWZYd\nCmrRWeXMpS1Ch0CIoMQwC0FqLTrJJTovb08EBHUTOgxCBBEY9ITQIQCQ3vQSVomupqYGCoUCgwcP\nBgBUVFQgISEBcrkcQ4YMQWVlpbHssmXL4Ofnh6CgIBw8eJCXoDMy/8VLvYSIXU7ev4UOAYCDtuhS\nUlIQFBRkXH+WlpYGuVyOs2fPwtfXFytWrAAAXLt2DcuXL8fu3buRlpaGadOm8RL0474dcKZoKy91\nEyJWYppi5XAtuuLiYmzbtg3jx483DipqtVqMGzcOzs7OGDt2LDQaDQBAo9EgPj4ecrkc0dHRYBgG\nFRUVvAT+uG8H9IoM5qVuQsQmdoDK7gv3m+JwiW7mzJlYsmQJnJzuF83OzkZAgGHpSUBAALRaLQBD\nogsMDDSW8/f3N37GB3tuNEiIkH7dKa7hGql1XZtcArZlyxZ06NABCoUCarXa+L4lj4vrb7dSX1LS\nKuPXMTE9ERPTk3Wd9RXd2IXO7eOsupYQKbDlDBW1+neo1b9zGI3BX5zXyK8mE91vv/2GjIwMbNu2\nDVVVVSgvL8eYMWOgVCqRn58PhUKB/Px8KJWG3UVUKhV27br/6LugoMD42cOSOBpv8G7XBilpH2J6\n4qec1EeI2NhyKt7DjYj581dzEZKoWmtsNNl1TU5ORlFREQoLC7Fp0ybExsZi3bp1UKlUSE9Ph16v\nR3p6OqKiogAAkZGRyMzMxKVLl6BWq+Hk5AQPD/6PLhz/9nBa+E8cTrt2bSzagsme+BijS0pKgq+v\nLxQKBRQKBXbs2NFoOZ1OhzfeeANPPfUUgoKCcOTIEbN1W7R7SV03NDExEa+99hr8/f0RERFh3K/d\nx8cHiYmJiI2NRatWrbBy5UpLqrdJ0Y1dtG8dcSipq2YLHYJJfLToZDIZZs2ahVmzml7eNm/ePMjl\ncqxcuRItWrSATqczX7fUloA15WhOPvoqX+e8XkLs7UD2WkT0CjRf0EJcLQH7kmXZGWA/pj9//ny4\nu7vj3XffbbJceHg4Dh8+DFdXV5ZRSHBlRFMiegXCw8NN6DAIsYmHhxsvSY5LfE0vSU1NRVRUFBYv\nXtzo1LTi4mJUVVUhMTERKpUKixcvRlVVldl6HSrRAcDVcjWCQ7oLHQYhVrtarhY6BLNMTSc5C2BH\nvdfDBgwYgNDQ0AavjIwMJCYmorCwEJmZmTh//nyjQ19VVVU4c+YMhg8fDrVajby8PHz//fdm43Wo\nrmud3JNnoQobzVv9hPBFc3IjQkKf5K1+rrquySzLzoZ1u5ecOHECkydPxqFDhxp8FhgYiPz8fADA\n9u3bsXbtWmzcuLHJ+hyuRQcAIT38cOXWXqHDIMQiV27t5TXJcYmPruuVK1cAANXV1diwYQMGDRrU\naDk/Pz9oNBrcu3cPW7duRVyc+Xm0DpnoAMCzjTstESOScbl0DzzbuAsdBmt8JLoPPvgAPXr0QFRU\nFO7evYvExEQAD57rCgCfffYZpk+fjoiICLi4uGDkyJFm63bIrmt9o4a9j4yfqXVHxGvN+k/w8ujn\n7HIvrrquH7MsuwC08aZdbPzpn3h2YJTQYRACAHB3b/3A9wPin7ZbkuOSwy3qdwQZmano0u0xocMg\nBJWVt41ft/XywC/blwkYjfUo0YnU6QubqWVHRMWWxfpCk9ruJc0m0QHAmvX/wItD+wsdBmmmUld+\nZPxarGtY2brL8iUWDv8w4mH621Vo79ZXkHsTAgib5Lh6GMF27/BloIcRgnBt7QIdk43wiAChQyHN\nkNRbcnVojE4idh1YTd1YYleOkuQAGqOTDNfWLviXiLfBIY7l0vUsoUPgFLXoJKRd+7bQMdk27eBK\nSFO8azfPbNe+rdChcIpadBJ0uXRPo1NPonr3ECAa4ijinotC0Y1d5gtKELXoJCojM7XBmN2R304K\nFA2RuoRhsdi8I1XoMHhD00vY3FTA6SXmlJaU0alixCYRvQJxIHut0GE0iqvpJaNYlt0IcUwvsejM\niObAu10bXLm1F53a0hNZYrmr5epmscu1mLqlbFDXtRGebdyhObGBdiomFtEx2c0iyQH0MMJhhPTw\ng/bUpmbzg0ust/fwGoeaI8cGPYxwMFfL1TT9hJh06Pd1iIwKEToMu+OrRbdmzRoEBgYiODgYH3zw\ngclyNTU1UCgUGDx4MKt6aYyOhbpdJjq3j0NpSZnA0RAxaNe+LVJXzm62Swn5aK3l5uZi1apVyMjI\ngJ+fH65fv26ybEpKCoKCgho9Kawx1KKzQNGNXUhJ+1DoMIgIXLqehYRhzfeBFR/TS7Zv345x48bB\nz88PAPDoo482Wq64uBjbtm3D+PHjWT/RpURnofFvD6dk14wV3djV7MbjGsPHGN3OnTuRm5uLXr16\nYfz48Th9+nSj5WbOnIklS5bAyYl9+qJEZ4Xxbw+HjslG/2eVQodC7KRXZDB0TDa827UROhRRsHaM\nrqlzXauqqlBaWooDBw4gISEBU6ZMaXD9li1b0KFDBygUCovm59GEYRtdLr6Gpzq/YL4gkazZ8yZg\nTtJEocPgBFcThqNNfHar9lXnf2A/Yfi9995DTEyM8cSvxx57DBcuXICLi4uxzOzZs7Fu3Tq0aNEC\nVVVVKC8vx/Dhw7F2bdMTtKlFZ6PHfTvgTNFWBAR1EzoUwrG6aSOOkuS4ZKqr6gGgc72XJZ5++mls\n374dDMNAo9Gge/fuDyQ5AEhOTkZRUREKCwuxadMmxMbGmk1yACU6Tjzu2wG/530PHZON1m6uQodD\nbNTWywM6JrtZThthi4/pJQkJCaiurkZQUBA+/fRTfPHFFwAanutan0wmY1U3dV15sPKrH/DhrKX4\n6y8xLWsm5rRybonFX8zCxMkvCR0Kb7jquvZiWTYH4ljrSi06Hkx6ZwRu3vmNujwS8vW6BbhZ9ZtD\nJzkuSW0JGLXoeKa/XQW9/g7tiCJSEb0CsXP/ari6Ogsdil1w1aILY1n2BKhF1yy4tnYx7jLbKzJY\n6HBIrc07UqFjsnEge22zSXJcklqLjhKdHe3TfAMdk40Fi94ROpRma/a8CdAx2Yh7jg4zt4XUFvVT\n11UglZW3cTr3Avo//ZbQoTQLew+voaeo4K7r6s+y7H8hka5r165d0aNHDygUCkRGRgIAKioqkJCQ\nALlcjiFDhqCystJYftmyZfDz80NQUBAOHjzIX+QS5+7eGpFRIdAx2XRAD0/aenngj5t7aKoIDxyu\n6yqTyaBWq3Hs2DFotVoAQFpaGuRyOc6ePQtfX1+sWLECAHDt2jUsX74cu3fvRlpaGqZNY3ueN7lc\naviFfHn0c0KHImlxz0Vh7MS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pk2AGsc0zpOwJ8ngc+PFY+arqpXqgb077CNNPbfaR9zU6Zs1octqC+2bg4QA/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\n"
       }
      ],
-     "prompt_number": 35
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "plt.imshow(img, cmap='hot')\n",
-      "plt.colorbar()"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
-      {
-       "output_type": "pyout",
-       "prompt_number": 24,
-       "text": [
-        "<matplotlib.colorbar.Colorbar instance at 0x7f4ba4d96f80>"
-       ]
-      },
-      {
-       "output_type": "display_data",
-       "png": 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G0RXFDCVG+OC0tp5VCTajWB7qDdk22FoBHwZCVw+xL8oNZnpBrDsMdRfd1//a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-      }
-     ],
-     "prompt_number": 24
+     "prompt_number": 48
     },
     {
      "cell_type": "code",