F(E)_for_Mochima.ipynb 1.09 MB
 NUNEZ Arturo committed Jul 23, 2018 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 { "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib notebook\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "from scipy.stats import rv_continuous\n", "from scipy.interpolate import interp1d\n", "from matplotlib.patches import Circle\n", "from scipy.special import gamma\n", "import numpy as np\n", "import emcee\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "from numpy import exp, sqrt\n", "from scipy.integrate import quad, dblquad, nquad\n", "import matplotlib.patches as patches\n", "from itertools import product\n", "from scipy.integrate import quad\n", "import scipy.optimize as optimize\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from sklearn.neighbors import KDTree\n", "import sys\n", "import lmfit\n", "from py_unsio import *\n", "import pymc\n", "import os\n", "from pymodelfit import FunctionModel1DAuto\n", "import wkbl\n", "from wkbl.astro.halo_info import *\n", "from mpl_toolkits.mplot3d import axes3d\n", "from matplotlib import cm\n", "import wkbl.astro.nbody_essentials as nbe\n", "import cfalcon\n", "CF =cfalcon.CFalcon()\n", "import iminuit\n", "from iminuit import Minuit, describe, Struct\n", "import probfit\n", "from matplotlib.colors import LogNorm\n", "from matplotlib.ticker import FormatStrFormatter\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code",  NUNEZ Arturo committed Jul 25, 2018 65  "execution_count": 3,  NUNEZ Arturo committed Jul 23, 2018 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91  "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading Dark matter..\n", "loading Stars..\n", "loading Gas..\n", "36844.594\n", "| r_200 = 212.70\n", "| Diagonal matrix computed \n", "| | 20, 0, 0|\n", "| D =| 0, 14, 0|\n", "| | 0, 0, 4|\n" ] } ], "source": [ "hydro = wkbl.astro.halo_info.MochimaHydro()\n", "simname=hydro.name\n", "myhydro = wkbl.Galaxy_Hound(hydro.path)\n", "print myhydro.dm.pos3d[:,0].max()\n", "myhydro.center_shift(hydro.c_dm_com)\n",  NUNEZ Arturo committed Jul 24, 2018 92  "myhydro.r_virial(600,n=25)"  NUNEZ Arturo committed Jul 23, 2018 93 94 95 96  ] }, { "cell_type": "code",  NUNEZ Arturo committed Jul 25, 2018 97  "execution_count": 4,  NUNEZ Arturo committed Jul 23, 2018 98 99 100 101 102 103 104 105  "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [  NUNEZ Arturo committed Jul 24, 2018 106  "32066676 32066676\n"  NUNEZ Arturo committed Jul 23, 2018 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125  ] } ], "source": [ "pos_dm = np.array(myhydro.dm.pos3d.reshape(len(myhydro.dm.pos3d)*3),dtype=np.float32)\n", "pos_gs = np.array(myhydro.gs.pos3d.reshape(len(myhydro.gs.pos3d)*3),dtype=np.float32)\n", "pos_st = np.array(myhydro.st.pos3d.reshape(len(myhydro.st.pos3d)*3),dtype=np.float32)\n", "pos = np.concatenate((pos_dm, pos_st, pos_gs))\n", "phi_cord = np.concatenate((myhydro.dm.phi,myhydro.st.phi, myhydro.gs.phi))\n", "\n", "mass = np.concatenate((myhydro.dm.mass,myhydro.st.mass,myhydro.gs.mass))\n", "v = np.concatenate((myhydro.dm.v,myhydro.st.v,myhydro.gs.v))\n", "print len(mass)*3, len(pos)\n", "pos3d = pos.reshape(len(pos)/3,3)\n", "r2 = pos3d[:,0]**2 + pos3d[:,1]**2 +pos3d[:,2]**2" ] }, { "cell_type": "code",  NUNEZ Arturo committed Jul 25, 2018 126  "execution_count": 5,  NUNEZ Arturo committed Jul 23, 2018 127 128 129 130 131 132 133 134 135 136 137  "metadata": { "collapsed": true }, "outputs": [], "source": [ "ok, acc, Phy = CF.getGravity(pos,mass,0.15,G=myhydro.p.G)\n", "Phy = Phy * myhydro.p.kpctokm**2" ] }, { "cell_type": "code",  NUNEZ Arturo committed Jul 25, 2018 138  "execution_count": 6,  NUNEZ Arturo committed Jul 24, 2018 139 140 141 142 143 144 145  "metadata": { "collapsed": false }, "outputs": [], "source": [ "def binning_a_bel(minimum,mean,maximum,bins):\n", " \"most efficient way of binning a bell curve\"\n",  NUNEZ Arturo committed Jul 25, 2018 146 147  " a = np.logspace(np.log10(0.15*maximum),np.log10(maximum-mean),bins/2)\n", " b = np.logspace(np.log10(0.15*maximum),np.log10(mean-minimum),bins/2)\n",  NUNEZ Arturo committed Jul 24, 2018 148 149 150 151 152 153 154  " second_part = mean+ a - a[0]\n", " first_part = (mean-b+b[0])[::-1]\n", " return np.concatenate([[minimum],first_part, second_part[1:],[maximum]])" ] }, { "cell_type": "code",  NUNEZ Arturo committed Aug 01, 2018 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274  "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 342, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "53\n" ] } ], "source": [ "in_halo = np.where((myhydro.dm.r2.*myhydro.gs.hsml)))\n", "sorted_r = np.argsort(myhydro.dm.r[in_halo])\n", "part_per_bin = 10000\n", "N_total = len(myhydro.dm.mass[in_halo])\n", "bins_index = sorted_r[np.linspace(0,N_total-1,N_total/part_per_bin,dtype=int)]\n", "bins_in_r = (myhydro.dm.r[in_halo])[bins_index]\n", "#bins_in_r = np.logspace(np.log10(2.*myhydro.gs.hsml.min()),np.log10(myhydro.r200),100)#(myhydro.dm.r[in_halo])[bins_index]\n", "#bins_in_r = np.linspace(2.*myhydro.gs.hsml.min(),myhydro.r200,400)#(myhydro.dm.r[in_halo])[bins_index]\n", "\n", "print len(bins_in_r)\n", "bins_in_r[0], bins_in_r[-1] = 0., myhydro.r200" ] }, { "cell_type": "code", "execution_count": 343, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#print ((myhydro.dm.r[in_halo])[sorted_r])[:20]\n", "#print ((myhydro.dm.v[in_halo])[sorted_r])[:20]" ] }, { "cell_type": "code", "execution_count": 377, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#first bin in r\n", "#binnum_r=100\n", "#bins_in_r = np.logspace(np.log10(3.*myhydro.gs.hsml.min()),np.log10(myhydro.r200),binnum_r)\n", "#bins_in_r = np.concatenate([[0],bins_in_r])\n", "bins_centers = (bins_in_r[1:]+bins_in_r[:-1])/2.\n", "bins_width = (bins_in_r[1:]-bins_in_r[:-1])\n", "\n", "length_v = 100\n", "#bin_master_array = np.vstack([np.ones(length_v+1)])\n", "#hist_master_array = np.vstack([np.ones(length_v)])\n", "phi_r = np.array([])\n", "selection = np.where((myhydro.dm.r>bins_in_r[0])&(myhydro.dm.rbins_in_r[i])&(myhydro.dm.r<=bins_in_r[i+1]))\n", " phi_r = np.append(phi_r,np.mean(Phy[selection]))\n", " my_Vs = myhydro.dm.v[selection]\n", " bins_in_v =np.linspace(my_Vs.min(),my_Vs.max(),length_v+1)# binning_a_bel(my_Vs.min(),np.mean(my_Vs),my_Vs.max(),length_v)\n", " bins_in_v_centers = (bins_in_v[1:] +bins_in_v[:-1])/2\n", " bins_in_v_width = (bins_in_v[1:] - bins_in_v[:-1])\n", " bin_master_array = np.vstack([bin_master_array,bins_in_v])\n", " bin_master_centers = np.vstack([bin_master_centers,bins_in_v_centers])\n", " bin_master_width = np.vstack([bin_master_width,bins_in_v_width])\n", "\n", " f_v, _ = np.histogram(my_Vs,bins=bins_in_v)\n", " hist_master_array = np.vstack([hist_master_array, f_v])\n", " mass_in, _ = np.histogram(my_Vs,bins=bins_in_v,weights=myhydro.dm.mass[selection])\n", " mass_master_array = np.vstack([mass_in])" ] }, { "cell_type": "code", "execution_count": 378,  NUNEZ Arturo committed Jul 24, 2018 275 276 277 278 279  "metadata": { "collapsed": false }, "outputs": [ {  NUNEZ Arturo committed Aug 01, 2018 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 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1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045  "data": { "text/plain": [ "321" ] }, "execution_count": 378, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hist_master_array.max()" ] }, { "cell_type": "code", "execution_count": 379, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $(' ');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", "$(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " this.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " ' ');\n", " var titletext =$(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $(' ');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas =$('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width);\n", " canvas.attr('height', height);\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", "$(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $(' ')\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button =$('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp =$('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data"  NUNEZ Arturo committed Jul 24, 2018 2046 2047 2048  } ], "source": [  NUNEZ Arturo committed Aug 01, 2018 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062  "fig, ax = plt.subplots()\n", "ax.set_xlabel(r'$\\mathcal{E}/ \\Psi_{max}$',fontsize=28)\n", "ax.set_ylabel(r'$f(\\mathcal{E})$',fontsize=28)\n", "ax.set_ylim([1e-6,1e7])\n", "ax.set_xlim([0,1])\n", "ax.set_yscale('log')\n", "#ax.text(15e4/Psi.max(),3.5e-11,r\"$\\rm\"+hydro.name+\"$\",fontsize=32)\n", "ax.plot(f_E_Theory[:,0],f_E_Theory[:,1])\n", "#ax.step(bins_epsilon_center/Psi.max(),f_E_o,\"r-\",lw=5, label = r\"$\\rm Overall\\,\\, binning\\,\\, in\\,\\, r\\,\\, and\\,\\, v$\")\n", "#ax.step(x_100_100, F_E_100_100,\"r-.\",lw=2, label = r\"100 in v 100 in r\")\n", "#ax.step(x_100_200, F_E_100_200,\"g-.\",lw=2, label = r\"100 in v 200 in r\")\n", "#ax.step(x_100_300, F_E_100_300,\"m-.\",lw=2, label = r\"100 in v 300 in r\")\n", "#ax.step(x_100_400, F_E_100_400,\"m-.\",lw=2, label = r\"100 in v 400 in r\")\n", "ax.step(x_30_eq1e4, F_E_30_eq1e4,\"y-.\",lw=2, label = r\"30 in v ,isopopulated 1e4 particles in bin of r\")\n",  NUNEZ Arturo committed Jul 25, 2018 2063  "\n",  NUNEZ Arturo committed Aug 01, 2018 2064  "ax.step(bins_epsilon_center/Psi.max(),f_E,\"k-.\",lw=2, label = r\"100 in v, isopopulated 1e4 particles in bin of r\")\n",  NUNEZ Arturo committed Jul 25, 2018 2065 2066  "\n", "\n",  NUNEZ Arturo committed Aug 01, 2018 2067 2068  "#ax.step(e_r200, f_E_200,lw=2,linestyle='-', label = r\"100 bins in r 20 bins in v\")\n", "#ax.step(e_r300, f_E_300,lw=2,linestyle='-', label = r\"100 bins in r 20 bins in v\")\n",  NUNEZ Arturo committed Jul 25, 2018 2069  "\n",  NUNEZ Arturo committed Aug 01, 2018 2070 2071 2072  "#ax.tick_params(axis='both', which='major', labelsize=15, size=5,width=1.2)\n", "#ax.tick_params(axis='both', which='minor', labelsize=15, size=3,width=1.2)\n", "fig.tight_layout()\n",  NUNEZ Arturo committed Jul 24, 2018 2073  "\n",  NUNEZ Arturo committed Jul 25, 2018 2074  "\n",  NUNEZ Arturo committed Aug 01, 2018 2075 2076  "leg = ax.legend(loc='upper left', ncol=1, shadow=False, fontsize=15)\n", "leg.get_frame().set_linewidth(0.0)"  NUNEZ Arturo committed Jul 24, 2018 2077 2078 2079 2080  ] }, { "cell_type": "code",  NUNEZ Arturo committed Aug 01, 2018 2081  "execution_count": 375,  NUNEZ Arturo committed Jul 23, 2018 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 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2845 2846 2847 2848 2849 2850 2851 2852  "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",