{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.query import Query, TwoMASS, WISE, Tycho2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ra=45.03433035439128; dec=0.23539164875137225;\n", "pmra=43.75231341609215; pmdec=-7.6419899883511482;\n", "epoch=2015." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "q = Query(ra, dec, pmra=pmra, pmdec=pmdec, epoch=epoch)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tm = TwoMASS(q)\n", "w = WISE(q)\n", "tyc = Tycho2(q)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "b'03000819+0014074'" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tm.get_id()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from astroquery.vizier import Vizier\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from astropy.coordinates import SkyCoord\n", "import astropy.units as u\n", "c = SkyCoord(ra, dec, unit='deg')\n", "table = Vizier(columns=['*', '_r', '_RAJ2000', '_DEJ2000']).query_region(c, \n", " catalog='2mass', radius=1*u.arcsec)[0]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=1>\n", "\n", "\n", "\n", "\n", "\n", "
_r_RAJ2000_DEJ2000RAJ2000DEJ2000_2MASSJmage_JmagHmage_HmagKmage_KmagQflgRflgBflgCflgXflgAflg
arcsdegdegdegdegmagmagmagmagmagmag
float64float64float64float64float64bytes17float32float32float32float32float32float32bytes3bytes3bytes3bytes3uint8uint8
0.63645.0341610.23540845.0341610.23540803000819+00140746.6060.0236.1330.0246.0190.020AAA11111100000
" ], "text/plain": [ "\n", " _r _RAJ2000 _DEJ2000 RAJ2000 ... Bflg Cflg Xflg Aflg\n", " arcs deg deg deg ... \n", "float64 float64 float64 float64 ... bytes3 bytes3 uint8 uint8\n", "------- ---------- ---------- ---------- ... ------ ------ ----- -----\n", " 0.636 45.034161 0.235408 45.034161 ... 111 000 0 0" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "table" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.tests.test_query import test_queries" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "test_queries()" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:You have a wrong/corrupted/outdated Dartmouth triangulation! Delete /Users/tdm/.isochrones/dartmouth.tri and try re-importing to download afresh.\n" ] } ], "source": [ "from isochrones import StarModel\n", "from isochrones.dartmouth import Dartmouth_Isochrone\n", "dar = Dartmouth_Isochrone()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dirname = '../isochrones/tests/star4'\n", "\n", "mod = StarModel.from_ini(dar, folder=dirname)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "root\n", " ╠═ twomass H=(10.91, 0.02) @(0.00, 0 [4.00])\n", " ║ ╚═ twomass J=(11.25, 0.02) @(0.00, 0 [4.00])\n", " ║ ╚═ twomass K=(10.87, 0.01) @(0.00, 0 [4.00])\n", " ║ ╠═ Lick delta-H=(0.00, 0.01) @(0.00, 0 [0.50])\n", " ║ ║ ╚═ Lick delta-K=(0.00, 0.01) @(0.00, 0 [0.50])\n", " ║ ║ ╚═ 0_0, Teff=[5465.0, 109.0], feh=[0.02, 0.15], logg=[4.449, 0.085]\n", " ║ ╚═ Lick delta-H=(4.34, 0.01) @(3.84, 53 [0.50])\n", " ║ ╚═ Lick delta-K=(4.11, 0.06) @(3.84, 53 [0.50])\n", " ║ ╚═ 0_1\n", " ╚═ Lick delta-H=(7.49, 0.01) @(12.07, 256 [0.50])\n", " ╚═ 0_2\n" ] } ], "source": [ "mod.print_ascii()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: 3}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.obs.Nstars" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.obs.systems" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-232348.56573438906" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.lnlike([1.0, 0.8, 0.5, 9.4, 0.0, 100, 0.2] )" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:You have a wrong/corrupted/outdated Dartmouth triangulation! Delete /Users/tdm/.isochrones/dartmouth.tri and try re-importing to download afresh.\n" ] } ], "source": [ "from isochrones.tests.test_ini import test_ini" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "test_ini()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones import StarModel\n", "mod = StarModel.from_ini('dartmouth', folder='../isochrones/tests/star2')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.n_params" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'0.19.1'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import scipy\n", "scipy.__version__" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import isochrones" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:You have a wrong/corrupted/outdated Dartmouth triangulation! Delete /Users/tdm/.isochrones/dartmouth.tri and try re-importing to download afresh.\n" ] } ], "source": [ "from isochrones.dartmouth import Dartmouth_Isochrone" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dar = Dartmouth_Isochrone()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.tests.tests import _basic_ic_checks" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "_basic_ic_checks(dar)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.95409593462955189" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dar.radius(1., 9.5, 0.0)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0435559519926865" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dar.radius(1.01, 9.72, 0.02)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.2762022494652547" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dar.radius(1.21,9.38,0.11)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5964945760402941" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dar.radius(0.61, 9.89, -0.22)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.mist import MIST_Isochrone" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mist = MIST_Isochrone()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9764494078461442" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mist.radius(1.0, 9.5, 0.0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0671791635014685" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mist.radius(1.01, 9.72, 0.02)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.2836469028034225" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mist.radius(1.21,9.38,0.11)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.59475269177846402" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mist.radius(0.61, 9.89, -0.22)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dar.radius(1., 9.5, 0.0)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:You have a wrong/corrupted/outdated Dartmouth triangulation! Delete /Users/tdm/.isochrones/dartmouth.tri and try re-importing to download afresh.\n" ] } ], "source": [ "import isochrones.dartmouth" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.dartmouth import DartmouthModelGrid" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "782 ms ± 13.7 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%timeit DartmouthModelGrid.verify_grids()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.mist import MISTModelGrid" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.01 s ± 54.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%timeit MISTModelGrid.verify_grids()" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import isochrones" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import isochrones" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.dartmouth import Dartmouth_Isochrone" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "ename": "RuntimeError", "evalue": "/Users/tdm/.isochrones/dartmouth.tri does not exist. Run \"import isochrones.dartmouth; isochrones.dartmouth.download_grids()\" to download.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdar\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDartmouth_Isochrone\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m~/repositories/isochrones/isochrones/dartmouth/isochrone.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, bands, afe, y, **kwargs)\u001b[0m\n\u001b[1;32m 72\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 73\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mTRI\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 74\u001b[0;31m \u001b[0mDartmouthModelGrid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mverify_grids\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 75\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 76\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mTRI_FILE\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'rb'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/repositories/isochrones/isochrones/grid.py\u001b[0m in \u001b[0;36mverify_grids\u001b[0;34m(cls)\u001b[0m\n\u001b[1;32m 144\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmd5\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfiles\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzenodo_md5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 145\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpath\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mexists\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 146\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'{0} does not exist. Run \"import isochrones.{1}; isochrones.{1}.download_grids()\" to download.'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 147\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mhashlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmd5\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'rb'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhexdigest\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mmd5\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 148\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'{0} is wrong/corrupted. Delete {0} and try again.'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mRuntimeError\u001b[0m: /Users/tdm/.isochrones/dartmouth.tri does not exist. Run \"import isochrones.dartmouth; isochrones.dartmouth.download_grids()\" to download." ] } ], "source": [ "dar = Dartmouth_Isochrone()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading files for dartmouth model grid: ('dartmouth.tgz', 'dartmouth.tri')...\n", "/Users/tdm/.isochrones/dartmouth.tgz exists; not downloading.\n" ] } ], "source": [ "import isochrones.dartmouth; isochrones.dartmouth.download_grids()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dar = Dartmouth_Isochrone()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dar = Dartmouth_Isochrone()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'isochrones' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0misochrones\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdartmouth\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdownload_grids\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mNameError\u001b[0m: name 'isochrones' is not defined" ] } ], "source": [ "isochrones.dartmouth.download_grids()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.mist import MIST_Isochrone" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mist = MIST_Isochrone()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading files for mist model grid (('mist.tgz',))...\n", "/Users/tdm/.isochrones/mist.tgz verified.\n", "/Users/tdm/.isochrones/mist.tgz verified.\n", "/Users/tdm/.isochrones/mist/MIST_v1.0_UBVRIplus.h5 written.\n", "/Users/tdm/.isochrones/mist/MIST_v1.0_WISE.h5 written.\n", "/Users/tdm/.isochrones/mist/MIST_v1.0_SDSS.h5 written.\n" ] }, { "data": { "text/plain": [ "1.0021006303717472" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mist.radius(1.0, 9.6, 0.0)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = np.array([np.random.randn(100000) for i in range(4)]).T" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100000, 4)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.shape" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ -1.63828045e+00, -1.63072826e+00, -1.65102411e+00,\n", " -1.64924447e+00],\n", " [ -9.90019779e-01, -9.95726924e-01, -9.96526431e-01,\n", " -9.93260577e-01],\n", " [ -8.87989356e-04, -3.18889167e-03, 3.42285565e-03,\n", " 3.96761411e-03],\n", " [ 9.90394774e-01, 9.96530306e-01, 9.96822674e-01,\n", " 9.96571747e-01],\n", " [ 1.64419496e+00, 1.65023073e+00, 1.64854022e+00,\n", " 1.64616768e+00]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.percentile(d, [5,16,50,84,95], axis=0)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from isochrones import StarModel\n", "from isochrones.dartmouth import Dartmouth_Isochrone\n", "\n", "dar = Dartmouth_Isochrone()\n", "\n", "props = dict(Teff=(5800, 100), logg=(4.5, 0.1),\n", " B=(5.7,0.05), V=(5.0, 0.05))\n", "\n", "mod = StarModel(dar, **props)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'single'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.name" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "samples = mod.emcee_p0(200)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(200, 5)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples.shape" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(samples)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3.21385964e+00, 1.01745308e+01, 4.96039106e-01,\n", " 2.97472721e+03, 9.98552464e-01])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples.max(axis=0)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import emcee3\n", "from emcee3.backends import Backend, HDFBackend\n", "import matplotlib.pyplot as plt\n", "\n", "def trace_plot(star, directory='mcmc_chains', thin=10):\n", " filename = os.path.join(directory, '{}.h5'.format(star))\n", "\n", " b = HDFBackend(filename)\n", " coords = b.get_coords()\n", " ndim = coords.shape[-1]\n", " fig, axes = plt.subplots(ndim, 1, sharex=True, figsize=(8,8))\n", " for i,ax in enumerate(axes):\n", " ax.plot(coords[::thin, :, i], lw=1, alpha=0.2);\n", " \n", " axes[0].set_title(star)\n", " return fig " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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NR+jxGy/VtqmAYpygPqOq2yw7Fm7FONX0QYgxkimQGBAfeJkOdeobznPHpeP8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\n7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lT4jxOxuzD3kkpkFAMiecpT5F+/esdnm3sWy4re7nlsa4SyjMc963+5ZfFqxdkFXo4D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\nBJ/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8Ig4UaEFfFARXKS4KscMBITXRkOMEBHmErO7Qt+/h8pfIMCEcPFZJ8iRC+AIZaIZo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\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aUx8zViFB31IHjkfpA4pcENoZNpgyl8foSFA0Mbr16IGlmxl+FQYYHMdFj9JDcjumnRzR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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trace_plot('test_sun');" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones import StarModel\n", "from isochrones.dartmouth import Dartmouth_Isochrone" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:minage and maxage keywords are deprecated.Use instead the .set_bounds(age=(lo, hi)) attribute of StarModel.\n" ] } ], "source": [ "dar = Dartmouth_Isochrone(minage=9.1)\n", "\n", "props = dict(Teff=(5800, 100), logg=(4.5, 0.1),\n", " B=(5.7,0.05), V=(5.0, 0.05))\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mod = StarModel(dar, **props)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(8.3979400086720375, 10.176091259055681)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.bounds('age')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.15610746393179967" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mod.prior('age', 9.0, bounds=mod.bounds('age'))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.priors import age_prior" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.stats import uniform" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "scipy.stats._continuous_distns.uniform_gen" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(uniform)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = uniform(3, 6)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.pdf(2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "uniform?" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.priors import AV_prior" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.51299349, 0.04524675, 0.3940439 , 0.35215637, 0.43375303,\n", " 0.9366318 , 0.92845353, 0.07610549, 0.3986907 , 0.11514545])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "AV_prior._distribution.rvs(10)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.stats import powerlaw" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.priors import distance_prior" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 2493.79176056, 2244.43780145, 2038.62230875, 2734.7536418 ,\n", " 2922.87866723, 2891.70752346, 2393.58184595, 2782.12917959,\n", " 2964.78382157, 2464.10865769])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance_prior.sample(10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 3000)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance_prior.bounds" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IRLG//vWvDB8+HIAnn3zy8HRfqR3lBomZJQIDgHHOuWzn3KfAIuD6MpoPBV5yzqU75/YD\nDwDDPPbTH0h3zr3mnDsIjAe6mlnJX5kZA7zrnJvtnDvknMtyzq2r3LBFJFq89NJL/OY3vwHg8ccf\nZ/To0T5XVPd4OSLpCBQ65zaELFsD/OiIJLhsTal2Lc2smYd+jtjWOZcDfBuyvjuwz8yWmdluM1ts\nZm081C8iUWratGmHQ+Sxxx7jjjvu8LmiuslLkCQBmaWWZQKNjtL2QKl2BNuW10/pbUuvb03giOd3\nQBtgI/BqWQWb2XAzW2lmK8taLyKRb8aMGdx8880455g4cSJ33nmn3yXVWXEe2mQDjUstSwayPLRN\nDn7N8tBPeevzgIXOuRUAZnY/kGFmyc65IwLIOTcVmBps5446MhGJSC+//DI33ngjzjkmTJjAXXfd\n5XdJdZqXI5INQJyZdQhZ1hVIL6NtenBdaLtdzrm9Hvo5YtvgNZX2IevXAqGhoIAQqYNefvll/ud/\n/gfnHI8++ih333233yXVeeUGSfBaxQLgATNLNLOewJXArDKazwRuMrNOZtaUwAysGR77WQh0MbMB\nZtYA+DOwxjm3Prh+OnC1mZ1uZvWCfX9a+mhERKLXzJkzD4fII488wj333ON3SYL36b+jgARgNzAH\nuMU5l25mbYL3dLQBcM4tASYCHwKbCVzH+HN5/QS33UNgVtdDwH6gGzC4ZEPn3P8D/gC8Fdz+p8BR\n72cRkegya9Yshg0bhnOOhx9+mLFjx/pdkgSZc9F9hqjkGkm0j1Mkmr3yyivccMMNOOd48MEHue++\n+yrcx4lj36qBysLbpkf7Vmo7MwPAOWee2kf7B6yCRCS8VPQDPTv9Q/a+9RS4YpLPu44mPQaXv5EA\ntRcketaWiIStnK8++m+I9ExTiIQpBYmIhKWcr/5OxptP/jdEzr3W75LkKBQkIhJ2AiHyRCBEzh2i\nEAlzChIRCSs56z4OCZFradJTkzPDnYJERMJGzrpPyFj8eCBEelxLk55pfpckHihIRCQs5Kz/lIzF\njwVC5JxrSNaRSMRQkIiI73LWf0rG/00EV0zjc64h+bzrDk9BlfCnIBERX+V8/VlIiPyaJgqRiKMg\nERHf5H697L8h0n0QTc67XiESgRQkIuKL3A3L2PN/E6C4iMbdB9Lk/BsUIhFKQSIitS53wzL2LAqG\nyNkDaXL+UIVIBFOQiEityt2wPCREBtDkAoVIpFOQiEitWbRoEXsWPRoIkW79aXLBMIVIFFCQiEit\nmDlzJgMHDgyEyFlX06TX/yhEooSCRERqlHOOBx54gKFDh1JYWBi4JnLhjQqRKBLndwEiEr0KCgoY\nOXIk06ZNIyYmhqeffprHt57kd1lSzXREIiI1IjMzkyuuuIJp06aRkJDAggULuO222/wuS2qAjkhE\npNpt27aNPn36sHbtWpo3b86bb75Jt27d/C5LaoiCRESq1ZdffkmfPn3YunUrHTt25J133qFdu3Z+\nlyU1SKe2RKTafPDBB/Ts2ZOtW7dy7rnnsmzZMoVIHaAgEZFq8fLLL3PZZZeRmZnJoEGDeP/992nW\nrJnfZUktUJCISJWUTO8dNmwYhYWF3HnnncydO5cGDRr4XZrUEl0jEZFKKygoYMSIEUyfPp2YmBie\neeYZbr31Vr/LklqmIBGRSsnMzGTgwIEsXbqUhIQE5s6dy5VXXul3WeIDBYmIVNjWrVvp27cva9eu\npUWLFixevFjTe+swBYmIVMjatWvp06cP27Zt0/ReAXSxXUQq4P333+e8885j27Zt9OzZU9N7BdAR\niUiddOLYtyq8TfaX77N3yWQoLqLhKeex5ezR/OKxf9RAdRJpFCQickzOOQ589ioHPpsDEPg7Ir2G\nYaYTGhKgIBGRo3JFhexd8iw5/34fLIaUi4fT6Iwr/C5LwoyCRETKVHwolz1vPMLBTV9gcfGkXnk3\nDTuc7XdZEoY8HZuaWYqZLTSzHDPbbGZDjtF2tJntNLNMM5tmZvFe+zGzi8xsvZnlmtmHZta2jP7r\nm9k6M9takYGKiHeFmRnsnH03Bzd9QUzDJrQc8ohCRI7K60nOKUA+0BJIA543s86lG5nZpcBY4CKg\nLdAOuN9LP2aWCiwAxgEpwEpgXhm13AXs8Vi3iFRQ/u6N7Jx1BwV7NhGX0prjrn+c+OM7+l2WhLFy\ng8TMEoEBwDjnXLZz7lNgEXB9Gc2HAi8559Kdc/uBB4BhHvvpD6Q7515zzh0ExgNdzeyUkFpOAq4D\nHqnMYEXk2PI2fsHO2XdTlL2X+NadOO66x6jX5Di/y5Iw5+WIpCNQ6JzbELJsDfCjI5LgsjWl2rU0\ns2Ye+jliW+dcDvBtqfeZDPwByDtWwWY23MxWmtnKY7UTkf/KXruU3a+Px+Xn0fCU82h5zYPEJjTy\nuyyJAF4uticBmaWWZQJl/QtLAg6UakewbXn9JPHjU1aH15vZ1UCsc26hmfU6VsHOuanA1OB27lht\nReq6wPTeORz47FVA03ul4rwESTbQuNSyZCDLQ9vk4NcsD/0cdX3wtNhEoI+HekXEI1dUwN4lU0Km\n946g0Rl9/S5LIoyXXzk2AHFm1iFkWVcgvYy26cF1oe12Oef2eujniG2D4dE+uLwDcCLwiZntJHBR\n/vjg7LATPYxBREopPpTD7tfuJ+ff72P14mne/z6FiFRKuUESvFaxAHjAzBLNrCdwJTCrjOYzgZvM\nrJOZNSUwA2uGx34WAl3MbICZNQD+DKxxzq0H/g38BDg9+LoZ2BX87+8rNXKROiwwvfceDm5eHZje\ne+0jNPyppvdK5Xg9CToKSAB2A3OAW5xz6WbWxsyyzawNgHNuCYFTUB8Cm4GNBALhmP0Et91DYFbX\nQ8B+oBswOLiu0Dm3s+QF7AOKg98XVX74InXPqlWrNL1XqpU5F93Xoksutkf7OEXK45zjueeeY8yY\nMeTn5xPfuhPN+4/TzKwotunRyp2qNDMAnHPmpb0ekSJSB/zwww/85je/4fXXXwcg6fTLSLloOBZX\n3+fKJBooSESi3IoVK7jmmmvYuHEjjRo14sUXX+SeL5L8LkuiiCaKi0Qp5xyTJk3i3HPPZePGjZxx\nxhmsWrWKa665xu/SJMooSESi0L59+7jqqqsYPXo0BQUF3H777Sxbtoyf/vSnfpcmUUintkSizPLl\nyxk8eDBbtmwhOTmZadOm0b9/f7/LkiimIxKRKFFcXMxjjz3G+eefz5YtW+jWrRtffPGFQkRqnIJE\nJApkZGTQr18/7r77bgoLCxkzZgyffPIJJ510kt+lSR2gU1siEe6TTz7h2muvZdu2bTRt2pSXX36Z\nfv36+V2W1CE6IhGJUMXFxTz88MNceOGFbNu2jR49erB69WqFiNQ6HZGIRKDdu3dz3XXXsXTpUgDu\nuece/vKXv1CvXj2fK5O6SEEiEmE+/PBDhgwZws6dO0lNTWXWrFlcdtllfpcldZietSXioxPHvuW5\nrSsu4sCyeRxYNhdcMfE/6UJqvzuJa5RagxVKJNOztkTksMLsfex983EObl4LGMnnXENyzyFYTKzf\npYkoSETCXd7GL8h48wmKc38gJrEJqVfcScKJp/tdlshhChKRMOWKi/jh0zlkLp8POBq0PY3UK+4i\nNqmp36WJHEFBIhKGCjMzyFj8GIe2poPFkHzuEJLP+bVOZUlYUpCIhJm871aQ8dZTFOdlEpuUQmq/\nO2nQ5jS/yxI5KgWJSJhwRYX88PFMMv+1AIAGJ/6c1CvuIDaxic+ViRybgkQkDBRm7iZj0UQObV8P\nFkOT86+n8dkDMNPDJyT8KUhEfJb7zT/Z+/ZTFB/MJrZRKqlX3kWD1p39LkvEMwWJiE/y8/PZ98GL\nZK1cBEBC+7No1nc0sQmNfa5MpGIUJCI+WLVqFcOHDyfr888hJpamFwyl0VlX6VSWRCQFiUgtOnDg\nAOPGjWPKlCkUFxcT27gFza+8m/hWp/hdmkilKUhEaoFzjvnz5zN69Gh27NhBbGwsY8aM4bXi7sTE\nN/S7PJEq0XG0SA379ttvueyyyxg8eDA7duyge/fufP755zzxxBMKEYkKChKRGnLo0CEeeOABunTp\nwnvvvUfTpk2ZOnUqn332GV27dvW7PJFqo1NbIjXg/fffZ9SoUXzzzTcADB06lIkTJ9KiRQufKxOp\nfgoSkWq0c+dOxowZw6uvvgrAqaeeyvPPP88FF1zgc2UiNUentkSqQVFREVOmTOHkk0/m1VdfJSEh\ngYcffpjVq1crRCTq6YhEpIo+//xzRo4cycqVKwHo27cvkydP5qSTTvK5MpHaoSMSkUo6cOAAt99+\nO926dWPlypW0bt2aBQsWsHjxYoWI1CmegsTMUsxsoZnlmNlmMxtyjLajzWynmWWa2TQzi/faj5ld\nZGbrzSzXzD40s7Yh6+4ys3+bWZaZbTSzuyozYJGqcs4xb948TjnlFJ599lnMjDvuuIN169Zx9dVX\nH/571yJ1hddTW1OAfKAlcDrwlpmtcc6lhzYys0uBsUBvYDuwELg/uOyY/ZhZKrAAuBlYDPwFmAd0\nL+keuAFYC7QH3jOz751zcys8apFSThz7lqd2Bfu2sW/pCxzc9AUA8SecQsqlt/J63Em8/uDfa7JE\nkbBlzrljNzBLBPYDXZxzG4LLZgLbnXNjS7WdA2xyzv0h+H1vYI5z7rjy+jGz4cAw51yPkPfNAH7u\nnFtfRl3PBOu/vZz6HQR+ixQ5mvKCxBXmc+Afr3PgH69BUQExDZJocsEwkrr+Us/HkrC16dG+ldqu\n5KjaOefp8NrLEUlHoLDkwz9oDdCrjLadgUWl2rU0s2ZAm3L66Rz8HgDnXI6ZfRtcfkSQWGCU5wH/\n66F+kSrJ2/gF+5Y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "h, b, _ = plt.hist(distance_prior.sample(100000), normed=True);\n", "plt.plot(b, [distance_prior(x, bounds=(0,3000)) for x in b], 'k')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 5.42656575e-06, 2.97607882e-05, 7.19446578e-05,\n", " 1.33513995e-04, 2.14298153e-04, 3.17505290e-04,\n", " 4.33681578e-04, 5.72724527e-04, 7.22996030e-04,\n", " 9.11082846e-04])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 69.95556691, 362.95855898, 655.96155105, 948.96454312,\n", " 1241.96753519, 1534.97052726, 1827.97351933, 2120.9765114 ,\n", " 2413.97950347, 2706.98249554, 2999.98548761])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "c = (b[1:] + b[:-1])/2" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5.2059622333904537e-06,\n", " 2.8838838628779319e-05,\n", " 7.1549660215594382e-05,\n", " 0.00013333842699383557,\n", " 0.000214205138963503,\n", " 0.00031414979612459654,\n", " 0.00043317239847711633,\n", " 0.00057127294602106232,\n", " 0.00072845143875643426,\n", " 0.00090470787668323288]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[distance_prior(x, bounds=(0,3000)) for x in c]" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true }, "outputs": [], "source": [ "h1, b = np.histogram(distance_prior.sample(100000))\n", "h,b = np.histogram(distance_prior.sample(100000), density=True)\n", "c = (b[1:] + b[:-1])/2" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "pdf = [distance_prior(x, bounds=(0,3000)) for x in c]" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.08137885, 0.035007 , 0.02200062, 0.01594752, 0.01269489,\n", " 0.0104967 , 0.0088454 , 0.00771884, 0.00682201, 0.00611967])" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1./np.sqrt(h1)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "resid = np.abs(pdf - h)/pdf" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.1135809 , 0.02592938, 0.04177793, 0.00522302, 0.00851507,\n", " 0.0010505 , 0.00066287, 0.00515454, 0.00666403, 0.00457766])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resid" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sigma = 1./np.sqrt(h1)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1.39570551, 0.74069128, 1.89894356, 0.32751274, 0.67074751,\n", " 0.10007862, 0.07493934, 0.66778639, 0.97684366, 0.74802365])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resid/sigma" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10, 10)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(c), len(h)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1627.96972356, 8928.23647133, 21583.39734124,\n", " 40054.19848148, 64289.44587556, 95251.58703302,\n", " 130104.47344175, 171817.35805666, 216898.8089549 ,\n", " 273324.85390158])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from isochrones.priors import salpeter_prior, q_prior, age_prior, distance_prior" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]),\n", " array([ 9. , 9.115, 9.23 , 9.345, 9.46 , 9.575, 9.69 ,\n", " 9.805, 9.92 , 10.035, 10.15 ]))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "np.histogram(age_prior.sample(100), range=(9,10.15))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 5.76603014e+09, 1.41086431e+10, 7.94351457e+09,\n", " 1.27408878e+10, 1.10371106e+10, 2.69580849e+09,\n", " 6.11247811e+09, 1.29721656e+10, 8.66101798e+09,\n", " 1.59534690e+09, 3.98162526e+09, 1.22230816e+09,\n", " 1.96614395e+09, 1.14279660e+10, 2.62940801e+09,\n", " 9.05939742e+09, 7.62076207e+09, 1.23113269e+10,\n", " 1.23985446e+10, 1.11973033e+09, 6.36853785e+09,\n", " 7.82397418e+09, 1.38097978e+09, 8.44312443e+09,\n", " 1.18797256e+10, 9.68425303e+09, 1.43228885e+09,\n", " 2.36023915e+09, 1.44174421e+09, 1.11486899e+10,\n", " 3.80644386e+09, 6.36478747e+09, 3.56029212e+09,\n", " 1.16111006e+10, 1.29505138e+10, 4.82583592e+09,\n", " 2.35306225e+09, 1.13157425e+10, 2.22386664e+09,\n", " 1.18510330e+10, 1.55973161e+09, 5.58396415e+09,\n", " 9.31387684e+09, 5.19813154e+09, 5.60572952e+09,\n", " 9.95476958e+09, 5.00001775e+09, 5.94196448e+09,\n", " 6.22058016e+09, 7.55321586e+09, 1.65365693e+09,\n", " 3.49641675e+09, 1.45906742e+09, 4.86963855e+09,\n", " 1.29588556e+10, 4.53125682e+09, 4.49155950e+09,\n", " 2.38766572e+09, 1.35785337e+10, 1.27249425e+10,\n", " 7.06561430e+09, 3.74531415e+09, 1.05095927e+10,\n", " 4.36351224e+09, 1.38268634e+10, 1.16211514e+10,\n", " 1.13885361e+10, 7.94259765e+09, 5.93174035e+09,\n", " 2.06782020e+09, 1.18538097e+10, 9.83586798e+09,\n", " 7.48428044e+09, 4.26794663e+09, 1.14817213e+09,\n", " 5.47210836e+09, 8.83642120e+09, 5.52590564e+09,\n", " 2.16418477e+09, 1.38756138e+10, 1.19829203e+09,\n", " 6.43001264e+09, 6.84273063e+09, 1.08864478e+10,\n", " 6.88792803e+09, 1.26848076e+10, 8.89480360e+09,\n", " 8.25259737e+09, 1.04606526e+10, 1.02485196e+10,\n", " 4.99506674e+09, 6.95611080e+09, 1.86487230e+09,\n", " 7.37366979e+09, 6.54729828e+09, 7.12738694e+09,\n", " 1.29338549e+10, 6.57203578e+09, 5.65110103e+09,\n", " 1.10403563e+09])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "age_prior.sample(100)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/tdm/miniconda3/envs/isochrones/lib/python3.6/site-packages/numpy/lib/function_base.py:817: RuntimeWarning: invalid value encountered in true_divide\n", " return n/db/n.sum(), bins\n", "/Users/tdm/repositories/isochrones/isochrones/priors.py:36: RuntimeWarning: divide by zero encountered in true_divide\n", " sigma = 1./np.sqrt(hn)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0 0] [ 9. 9.115 9.23 9.345 9.46 9.575 9.69 9.805 9.92\n", " 10.035 10.15 ]\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "age_prior.test_sampling(plot=True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 2120.47998504, 2180.35681688, 2073.15160746, ..., 1738.41056862,\n", " 2654.34308229, 1826.4959339 ])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance_prior.sample(10000)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "np.histogram?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.integrate import quad" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(salpeter_prior.sample(100000));\n", "plt.plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }