WaveEquations.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h1>A Toy Wave Equation</h1>\n",
    "Here we build a very small Cactus application to evolve the wave equation. The main new thing we are learning\n",
    "about here is the MoL (Method of Lines) thorn. This thorn abstracts the time integration of your simulation\n",
    "from the physics code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/sbrandt/CactusFW2\n"
     ]
    }
   ],
   "source": [
    "%cd ~/CactusFW2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're going through the boilerplate of making a new thorn, but we'll do some special\n",
    "things along the way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Define some basic parameters describing a new thorn\n",
    "thorn_pars = {\n",
    "   \"thorn_name\" : \"WaveToyET17\",\n",
    "   \"arrangement_name\" : \"FunwaveUtils\",\n",
    "   \"author\" : \"Steven R. Brandt\",\n",
    "   \"email\" : \"sbrandt@cct.lsu.edu\",\n",
    "   \"license\" : \"BSD\"\n",
    " }\n",
    "import os\n",
    "os.environ[\"ARR\"]=thorn_pars[\"arrangement_name\"]\n",
    "os.environ[\"THORN\"]=thorn_pars[\"thorn_name\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This next command is only needed if you want to delete the thorn you are\n",
    "going to create below and start over."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "!rm -fr arrangements/$ARR/$THORN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we define some functions to help us create files automatically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import re\n",
    "# This function does substitutes all occurances of \"{name}\" in input_str with values[\"name\"]\n",
    "# and returns the new string.\n",
    "def replace_values(input_str,values):\n",
    "    while True:\n",
    "        g = re.search(r'{(\\w+)}',input_str)\n",
    "        if g:\n",
    "            var = g.group(1)\n",
    "            if var in values:\n",
    "                val = values[var]\n",
    "            else:\n",
    "                raise Exception(\"Undefined: <<\"+var+\">>\")\n",
    "            start = g.start(0)\n",
    "            end = start+len(g.group(0))\n",
    "            input_str = input_str[0:start]+val+input_str[end:]\n",
    "            continue\n",
    "        break\n",
    "    return input_str\n",
    "\n",
    "# Createas a file with the given name, uses replace_values()\n",
    "# to update file_contents with file_values, and writes it out.\n",
    "def create_file(file_name,file_contents,file_values):\n",
    "    fd = open(file_name,\"w\")\n",
    "    file_contents = replace_values(file_contents,file_values)\n",
    "    print(\"Over-writing file '\"+file_name+\"'\")\n",
    "    file_contents = re.sub(r'^\\s+','',file_contents)\n",
    "    fd.write(file_contents)\n",
    "    fd.close()\n",
    "    \n",
    "# The equivalent of mkdir -p\n",
    "def create_dir(dir):\n",
    "    print(\"Ensuring directory '\"+dir+\"'\")\n",
    "    if not os.path.exists(dir):\n",
    "        os.makedirs(dir)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Something new!</h3>\n",
    "In the interface.ccl file we not only declare a grid function, but we give it scratch space of three time levels.\n",
    "This gives MoL something to work with. Different time integrators will need different numbers of time levels.\n",
    "\n",
    "Perhaps also unexpected are the rhs variables. The phi_rhs will hold the time derivative of phi, the psi_rhs will\n",
    "hold the time derivative of psi. MoL will call the evolution routine repeatedly, storing the intermediate steps as\n",
    "necessary for its time integration.\n",
    "\n",
    "But wait! There's more! We also declare that we require a method called \"MoLRegisterEvolvedGroup\"\n",
    "be provided by some thorn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "interface_ccl_contents = \"\"\"\n",
    "## Interface definitions for thorn {thorn_name}\n",
    "inherits: grid\n",
    "## An implementation name is required for all thorns. No\n",
    "## two thorns in a configuration can implement the same\n",
    "## interface.\n",
    "implements: {thorn_name}\n",
    "\n",
    "## the groups declared below can be public, private, or protected.\n",
    "public:\n",
    "\n",
    "## A group defines a set of variables that are allocated together\n",
    "## and share common properties, i.e. timelevels, tags such as the\n",
    "## Prolongation=None tag. The type tag can take on the values\n",
    "## GF, Scalar, or Array.\n",
    "\n",
    "## Note that the number of timelevels can be an integer parameter\n",
    "## GF stands for \"Grid Function\" and refers to a distributed array\n",
    "## data structure.\n",
    "#cctk_real force_group type=GF timelevels=3 tags='Prolongation=\"None\"'\n",
    "#{\n",
    "#  force1, force2\n",
    "#}\n",
    "\n",
    "## Scalars are single variables that are available on all processors.\n",
    "#cctk_real scalar_group type=SCALAR \n",
    "#{\n",
    "#  scalar1, scalar2\n",
    "#}\n",
    "\n",
    "cctk_real evol_group type=GF timelevels=3\n",
    "{\n",
    "  psi, phi\n",
    "}\n",
    "cctk_real rhs_group type=GF \n",
    "{\n",
    "  psi_rhs, phi_rhs\n",
    "}\n",
    "\n",
    "#----------------------------------------------------\n",
    "#   MoL functions to register variables\n",
    "#----------------------------------------------------\n",
    "\n",
    "CCTK_INT FUNCTION MoLRegisterEvolvedGroup(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex)\n",
    "REQUIRES FUNCTION MoLRegisterEvolvedGroup\n",
    "\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Something new!</h3>\n",
    "We schedule three routines. The initial and evolution routines are unsurprising. The register method, however, is\n",
    "new. This is the place where we will tell MoL what variables we are evolving."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "schedule_ccl_contents = \"\"\"\n",
    "## Schedule definitions for thorn {thorn_name}\n",
    "\n",
    "## There won't be any storage allocated for a group\n",
    "## unless a corresponding storage declaration exists\n",
    "## for it in the schedule file. In square brackets,\n",
    "## we specify the number of storage levels to allocate.\n",
    "## These commented examples correspond to the commented\n",
    "## examples in the interface file above.\n",
    "# storage: force_group[3]\n",
    "# storage: scalar_group\n",
    "\n",
    "## Schedule a function defined in this thorn to run at the beginning\n",
    "## of the simulation. The minimum you need to specify for a schedule\n",
    "## item is what language it's written in. Choices are: C (which includes\n",
    "## C++) and Fortran (which means Fortran90).\n",
    "#SCHEDULE init_function at CCTK_INIT\n",
    "#{\n",
    "#  LANG: C\n",
    "#}\"Do some initial stuff\"\n",
    "\n",
    "storage: evol_group[3], rhs_group\n",
    "\n",
    "SCHEDULE init_wave_toy in CCTK_INITIAL\n",
    "{\n",
    "  LANG: C\n",
    "} \"initialize data\"\n",
    "\n",
    "SCHEDULE evolve_wave_toy in MoL_CalcRHS\n",
    "{\n",
    "  LANG: C\n",
    "} \"evolve data\"\n",
    "\n",
    "schedule wave_toy_registervars in MoL_Register\n",
    "{\n",
    "  LANG: C\n",
    "}\"Register funwave variables for MoL\"\n",
    "\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "param_ccl_contents = \"\"\"\n",
    "## Parameter definitions for thorn {thorn_name}\n",
    "## There are five types of parameters: int, real, keyword, string, and boolean.\n",
    "## The comments provide prototypes of each.\n",
    "#\n",
    "#CCTK_INT one_to_five \"This integer parameter goes from 1 to 5\"\n",
    "#{\n",
    "#  1:5 :: \"Another comment\"\n",
    "#} 3 # This is the default value\n",
    "#\n",
    "#CCTK_REAL from_2p5_to_3p8e4 \"This integer parameter goes from 2.5 to 3.8e4\"\n",
    "#{\n",
    "#  2.5:3.8e4 :: \"Another comment\"\n",
    "#} 4.4e3 # This is the default value\n",
    "#\n",
    "## This keyword example defines the parameter wavemaker_type and 8 possible values.\n",
    "#CCTK_KEYWORD wavemaker_type \"types of wave makers\"\n",
    "#{\n",
    "#  \"ini_rec\" :: \"initial rectangular hump, need xc,yc and wid\"\n",
    "#  \"lef_sol\" :: \"initial solitary wave, WKN B solution, need amp, dep\"\n",
    "#  \"ini_oth\" :: \"other initial distribution specified by users\"\n",
    "#  \"wk_reg\" :: \"Wei and Kirby 1999 internal wave maker, need xc_wk, tperiod, amp_wk, dep_wk, theta_wk, and time_ramp (factor of period)\"\n",
    "#  \"wk_irr\" :: \"Wei and Kirby 1999 TMA spectrum wavemaker, need xc_wk, dep_wk, time_ramp, delta_wk, freqpeak, freqmin, freqmax, hmo, gammatma, theta-peak\"\n",
    "#  \"wk_time_series\" :: \"fft a time series to get each wave component and then use Wei and Kirby's ( 1999) wavemaker. Need input wavecompfile (including 3 columns:   per,amp,pha) and numwavecomp, peakperiod, dep_wk, xc_wk, ywidth_wk\"\n",
    "#  \"ini_gau\" :: \"initial Gaussian hump, need amp, xc, yc, and wid\"\n",
    "#  \"ini_sol\" :: \"initial solitary wave, xwavemaker\"\n",
    "#}\"wk_reg\" # This is the default value\n",
    "#\n",
    "#CCTK_STRING a_string_par \"a comment\"\n",
    "#{\n",
    "#  .* :: \"This is a perl 5 regular expression defining what the string may contain\"\n",
    "#} \"blah blah blah\" # This is the default value\n",
    "#\n",
    "#BOOLEAN a_boolean_par \"a comment\"\n",
    "#{\n",
    "#} true\n",
    "\n",
    "\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "configuration_ccl_contents = \"\"\"\n",
    "# Configuration definitions for thorn {thorn_name}\n",
    "## You should not need include \"mpi.h\", but if you\n",
    "## do, you will need this next line.\n",
    "# REQUIRES MPI\n",
    "# REQUIRES HDF5\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "makefile_contents = \"\"\"\n",
    "# Main make.code.defn file for thorn {thorn_name}\n",
    "\n",
    "# Source files in this directory\n",
    "SRCS = init.cc evolve.cc molregister.cc\n",
    "\n",
    "# Subdirectories containing source files\n",
    "SUBDIRS =\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "readme_contents = \"\"\"\n",
    "Author(s)    : {author} <{email}>\n",
    "Maintainer(s): {author} <{email}>\n",
    "Licence      : {license}\n",
    "--------------------------------------------------------------------------\n",
    "\n",
    "1. Purpose\n",
    "\n",
    "not documented\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "# This function will create a complete thorn\n",
    "def create_thorn():\n",
    "  # Create the thorn directory inside the Cactus source tree\n",
    "  arrangement_dir = \"arrangements/\"+thorn_pars[\"arrangement_name\"]\n",
    "  thorn_dir = arrangement_dir + \"/\" + thorn_pars[\"thorn_name\"]\n",
    "  create_dir(thorn_dir)\n",
    "\n",
    "  # Create basic ccl files needed by Cactus\n",
    "  schedule_ccl = thorn_dir+\"/schedule.ccl\"\n",
    "  interface_ccl = thorn_dir+\"/interface.ccl\"\n",
    "  param_ccl = thorn_dir+\"/param.ccl\"\n",
    "  configuration_ccl = thorn_dir+\"/configuration.ccl\"\n",
    "  create_file(schedule_ccl,schedule_ccl_contents,thorn_pars)\n",
    "  create_file(interface_ccl,interface_ccl_contents,thorn_pars)\n",
    "  create_file(param_ccl,param_ccl_contents,thorn_pars)\n",
    "  create_file(configuration_ccl,configuration_ccl_contents,thorn_pars)\n",
    "\n",
    "  # Create the source directory and first makefile\n",
    "  src_dir = thorn_dir+\"/src\"\n",
    "  create_dir(src_dir)\n",
    "  create_file(src_dir+\"/make.code.defn\",makefile_contents,thorn_pars)\n",
    "\n",
    "  # Other dirs and files not strictly needed\n",
    "  # for compiling and running Cactus.\n",
    "  create_file(thorn_dir+\"/README\",readme_contents,thorn_pars)\n",
    "  \n",
    "  test_dir = thorn_dir+\"/test\"\n",
    "  create_dir(test_dir)\n",
    "  par_dir = thorn_dir+\"/par\"\n",
    "  create_dir(par_dir)\n",
    "  doc_dir = thorn_dir+\"/doc\"\n",
    "  create_dir(doc_dir)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ensuring directory 'arrangements/FunwaveUtils/WaveToyET17'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/schedule.ccl'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/interface.ccl'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/param.ccl'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/configuration.ccl'\n",
      "Ensuring directory 'arrangements/FunwaveUtils/WaveToyET17/src'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/src/make.code.defn'\n",
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/README'\n",
      "Ensuring directory 'arrangements/FunwaveUtils/WaveToyET17/test'\n",
      "Ensuring directory 'arrangements/FunwaveUtils/WaveToyET17/par'\n",
      "Ensuring directory 'arrangements/FunwaveUtils/WaveToyET17/doc'\n"
     ]
    }
   ],
   "source": [
    "create_thorn()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'my_thorns.th'\n"
     ]
    }
   ],
   "source": [
    "my_thorns_contents=\"\"\"\n",
    "# ./configs/sim/ThornList\n",
    "# This file was automatically generated using the GetComponents script.\n",
    "\n",
    "!CRL_VERSION = 2.0\n",
    "\n",
    "\n",
    "# Component list: funwave.th\n",
    "\n",
    "!DEFINE ROOT = CactusFW2\n",
    "!DEFINE ARR = $ROOT/arrangements\n",
    "!DEFINE ET_RELEASE = trunk\n",
    "!DEFINE FW_RELEASE = FW_2014_05\n",
    "\n",
    "#Cactus Flesh\n",
    "!TARGET   = $ROOT\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/cactuscode/cactus.git\n",
    "!NAME     = flesh\n",
    "!CHECKOUT = CONTRIBUTORS COPYRIGHT doc lib Makefile src\n",
    "\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/stevenrbrandt/cajunwave.git\n",
    "!REPO_PATH= $2\n",
    "# Old version\n",
    "#!AUTH_URL = https://svn.cct.lsu.edu/repos/projects/ngchc/code/branches/$FW_RELEASE/$1/$2\n",
    "#!URL = https://svn.cct.lsu.edu/repos/projects/ngchc/code/branches/$FW_RELEASE/$2\n",
    "#!URL = https://svn.cct.lsu.edu/repos/projects/ngchc/code/CactusCoastal/$2\n",
    "!CHECKOUT =\n",
    "CactusCoastal/Funwave\n",
    "CactusCoastal/FunwaveMesh\n",
    "CactusCoastal/FunwaveCoord\n",
    "CactusCoastal/Tridiagonal\n",
    "CactusCoastal/Tridiagonal2\n",
    "\n",
    "# CactusBase thorns\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/cactuscode/cactusbase.git\n",
    "!REPO_PATH= $2\n",
    "!CHECKOUT =\n",
    "CactusBase/Boundary\n",
    "CactusBase/CartGrid3D\n",
    "CactusBase/CoordBase\n",
    "CactusBase/Fortran\n",
    "CactusBase/InitBase\n",
    "CactusBase/IOASCII\n",
    "CactusBase/IOBasic\n",
    "CactusBase/IOUtil\n",
    "CactusBase/SymBase\n",
    "CactusBase/Time\n",
    "#\n",
    "# CactusNumerical thorns\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/cactuscode/cactusnumerical.git\n",
    "!REPO_PATH= $2\n",
    "!CHECKOUT =\n",
    "!CHECKOUT =\n",
    "CactusNumerical/MoL\n",
    "CactusNumerical/LocalInterp\n",
    "\n",
    "CactusNumerical/Dissipation\n",
    "CactusNumerical/SpaceMask\n",
    "CactusNumerical/SphericalSurface\n",
    "CactusNumerical/LocalReduce\n",
    "CactusNumerical/InterpToArray\n",
    "\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/cactuscode/cactusutils.git\n",
    "!REPO_PATH= $2\n",
    "!CHECKOUT = CactusUtils/Accelerator CactusUtils/OpenCLRunTime\n",
    "CactusUtils/NaNChecker\n",
    "CactusUtils/Vectors\n",
    "CactusUtils/SystemTopology\n",
    "\n",
    "# Carpet, the AMR driver\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/eschnett/carpet.git\n",
    "!REPO_PATH= $2\n",
    "!CHECKOUT = Carpet/doc\n",
    "Carpet/Carpet\n",
    "Carpet/CarpetEvolutionMask\n",
    "Carpet/CarpetIOASCII\n",
    "Carpet/CarpetIOBasic\n",
    "Carpet/CarpetIOHDF5\n",
    "Carpet/CarpetIOScalar\n",
    "#Carpet/CarpetIntegrateTest\n",
    "Carpet/CarpetInterp\n",
    "Carpet/CarpetInterp2\n",
    "Carpet/CarpetLib\n",
    "Carpet/CarpetMask\n",
    "#Carpet/CarpetProlongateTest\n",
    "Carpet/CarpetReduce\n",
    "Carpet/CarpetRegrid\n",
    "Carpet/CarpetRegrid2\n",
    "#Carpet/CarpetRegridTest\n",
    "Carpet/CarpetSlab\n",
    "Carpet/CarpetTracker\n",
    "Carpet/CycleClock\n",
    "#Carpet/HighOrderWaveTest\n",
    "Carpet/LoopControl\n",
    "#Carpet/ReductionTest\n",
    "#Carpet/ReductionTest2\n",
    "#Carpet/ReductionTest3\n",
    "#Carpet/RegridSyncTest\n",
    "Carpet/TestCarpetGridInfo\n",
    "Carpet/TestLoopControl\n",
    "Carpet/Timers\n",
    "\n",
    "# Additional Cactus thorns\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = svn\n",
    "!URL      = https://svn.cactuscode.org/projects/$1/$2/trunk\n",
    "!CHECKOUT = ExternalLibraries/OpenBLAS ExternalLibraries/OpenCL ExternalLibraries/pciutils ExternalLibraries/PETSc\n",
    "ExternalLibraries/MPI\n",
    "ExternalLibraries/HDF5\n",
    "ExternalLibraries/zlib\n",
    "ExternalLibraries/hwloc\n",
    "\n",
    "# Simulation Factory\n",
    "!TARGET   = $ROOT/simfactory\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/simfactory/simfactory2.git\n",
    "!NAME     = simfactory2\n",
    "!CHECKOUT = README.md README_FIRST.txt bin doc etc lib mdb\n",
    "\n",
    "# Various thorns from LSU\n",
    "#!TARGET   = $ARR\n",
    "#!TYPE     = git\n",
    "#!URL      = https://bitbucket.org/einsteintoolkit/archivedthorns-vectors.git\n",
    "#!REPO_PATH= $2\n",
    "#!CHECKOUT =\n",
    "#LSUThorns/Vectors\n",
    "#LSUThorns/QuasiLocalMeasures\n",
    "#LSUThorns/SummationByParts\n",
    "#LSUThorns/Prolong\n",
    "\n",
    "#Roland/MapPoints\n",
    "#Tutorial/BadWaveMoL\n",
    "#Tutorial/BasicWave\n",
    "#Tutorial/BasicWave2\n",
    "#Tutorial/BasicWave3\n",
    "\n",
    "# Various thorns from the AEI\n",
    "# Numerical\n",
    "!TARGET   = $ARR\n",
    "!TYPE     = git\n",
    "!URL      = https://bitbucket.org/cactuscode/numerical.git\n",
    "!REPO_PATH= $2\n",
    "!CHECKOUT =\n",
    "#AEIThorns/ADMMass\n",
    "AEIThorns/AEILocalInterp\n",
    "#AEIThorns/PunctureTracker\n",
    "#AEIThorns/SystemStatistics\n",
    "#AEIThorns/Trigger\n",
    "{arrangement_name}/{thorn_name}\"\"\"\n",
    "create_file(\"my_thorns.th\",my_thorns_contents,thorn_pars)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Something new!</h3>\n",
    "Here we create the source code. The initialization, evolution, and molregister functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/src/init.cc'\n"
     ]
    }
   ],
   "source": [
    "src_dir = \"arrangements/\"+thorn_pars[\"arrangement_name\"]+\"/\"+thorn_pars[\"thorn_name\"]+\"/src\"\n",
    "\n",
    "init_cc_src = \"\"\"\n",
    "#include <cctk.h>\n",
    "#include <cctk_Arguments.h>\n",
    "#include <cctk_Parameters.h>\n",
    "#include <math.h>\n",
    "\n",
    "void init_wave_toy(CCTK_ARGUMENTS) {\n",
    "  DECLARE_CCTK_ARGUMENTS;\n",
    "  DECLARE_CCTK_PARAMETERS;\n",
    "  for(int k=0;k<cctk_lsh[2];k++) {\n",
    "      for(int j=0;j<cctk_lsh[1];j++) {\n",
    "          for(int i=0;i<cctk_lsh[0];i++) {\n",
    "              int cc = CCTK_GFINDEX3D(cctkGH,i,j,k);\n",
    "              CCTK_REAL xx = x[cc] - 5.0;\n",
    "              CCTK_REAL yy = y[cc] - 5.0;\n",
    "              psi[cc] = exp(-xx*xx-yy*yy);\n",
    "              phi[cc] = 0;\n",
    "          }\n",
    "      }\n",
    "  }\n",
    "}\n",
    "\"\"\"\n",
    "create_file(src_dir+\"/init.cc\",init_cc_src,{})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/src/evolve.cc'\n"
     ]
    }
   ],
   "source": [
    "evolve_cc_src = \"\"\"\n",
    "#include <cctk.h>\n",
    "#include <cctk_Arguments.h>\n",
    "#include <cctk_Parameters.h>\n",
    "#include <math.h>\n",
    "#include <assert.h>\n",
    "\n",
    "void evolve_wave_toy(CCTK_ARGUMENTS) {\n",
    "  DECLARE_CCTK_ARGUMENTS;\n",
    "  DECLARE_CCTK_PARAMETERS;\n",
    "  for(int k=0;k<cctk_lsh[2];k++) {\n",
    "      for(int j=1;j<cctk_lsh[1]-1;j++) {\n",
    "          for(int i=1;i<cctk_lsh[0]-1;i++) {\n",
    "              int cc = CCTK_GFINDEX3D(cctkGH,i,j,k);\n",
    "              int im1 = CCTK_GFINDEX3D(cctkGH,i-1,j,k);\n",
    "              int ip1 = CCTK_GFINDEX3D(cctkGH,i+1,j,k);\n",
    "              int jm1 = CCTK_GFINDEX3D(cctkGH,i,j-1,k);\n",
    "              int jp1 = CCTK_GFINDEX3D(cctkGH,i,j+1,k);\n",
    "              CCTK_REAL dx = CCTK_DELTA_SPACE(0);\n",
    "              CCTK_REAL dy = CCTK_DELTA_SPACE(1);\n",
    "              psi_rhs[cc] = phi[cc];\n",
    "              CCTK_REAL divx = (psi[ip1] + psi[im1] - 2*psi[cc])/(dx*dx);\n",
    "              CCTK_REAL divy = (psi[jp1] + psi[jm1] - 2*psi[cc])/(dy*dy);\n",
    "              phi_rhs[cc] = divx + divy;\n",
    "          }\n",
    "      }\n",
    "  }\n",
    "}\n",
    "\"\"\"\n",
    "create_file(src_dir+\"/evolve.cc\",evolve_cc_src,{})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/src/molregister.cc'\n"
     ]
    }
   ],
   "source": [
    "molregister_cc_src = \"\"\"\n",
    "#include <cctk.h>\n",
    "#include <cctk_Arguments.h>\n",
    "#include <cctk_Parameters.h>\n",
    "\n",
    "extern \"C\" void wave_toy_registervars (CCTK_ARGUMENTS)\n",
    "{\n",
    "  DECLARE_CCTK_ARGUMENTS;\n",
    "  DECLARE_CCTK_PARAMETERS;\n",
    "  CCTK_INT ierr = 0, group, rhs;\n",
    "\n",
    "  // Look up the group index of the evol_group\n",
    "  group = CCTK_GroupIndex (\"{thorn_name}::evol_group\");\n",
    "  \n",
    "  // Look up the group index of the rhs_group\n",
    "  rhs = CCTK_GroupIndex (\"{thorn_name}::rhs_group\");\n",
    "\n",
    "  if (CCTK_IsFunctionAliased (\"MoLRegisterEvolvedGroup\"))\n",
    "  {\n",
    "    // *** KEY STEP! *** Tell MoL what we variables\n",
    "    // we are evolving and what the rhs variables are.\n",
    "    ierr += MoLRegisterEvolvedGroup (group, rhs);\n",
    "  }\n",
    "  else\n",
    "  {\n",
    "    CCTK_WARN (0, \"MoL function not aliased !\");\n",
    "    ierr++;\n",
    "  }\n",
    "\n",
    "  if (ierr)\n",
    "    CCTK_WARN (0, \"Problems registering with MoL !\");\n",
    "}\n",
    "\n",
    "\"\"\"\n",
    "create_file(src_dir+\"/molregister.cc\",molregister_cc_src,thorn_pars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using configuration: sim\n",
      "Updated thorn list for configuration sim\n",
      "Building sim\n",
      "Cactus - version: 4.2.3\n",
      "Building configuration sim\n",
      "Reconfiguring thorns\n",
      "Reading ThornList...\n",
      "Parsing configuration files...\n",
      "Parsing interface files...\n",
      "   AEILocalInterp\n",
      "           Implements: AEILocalInterp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Boundary\n",
      "           Implements: boundary\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Cactus\n",
      "           Implements: Cactus\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Carpet\n",
      "           Implements: Driver\n",
      "           0 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetEvolutionMask\n",
      "           Implements: CarpetEvolutionMask\n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetIOASCII\n",
      "           Implements: IOASCII\n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetIOBasic\n",
      "           Implements: IOBasic\n",
      "           Inherits:  IO \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetIOHDF5\n",
      "           Implements: IOHDF5\n",
      "           0 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetIOScalar\n",
      "           Implements: IOScalar\n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetInterp\n",
      "           Implements: interp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetInterp2\n",
      "           Implements: interp2\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetLib\n",
      "           Implements: CarpetLib\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetMask\n",
      "           Implements: CarpetMask\n",
      "           Inherits:  grid SphericalSurface \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetReduce\n",
      "           Implements: reduce\n",
      "           0 Public, 0 Protected, 4 Private variable groups\n",
      "   CarpetRegrid\n",
      "           Implements: CarpetRegrid\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetRegrid2\n",
      "           Implements: CarpetRegrid2\n",
      "           6 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetSlab\n",
      "           Implements: Hyperslab\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetTracker\n",
      "           Implements: CarpetTracker\n",
      "           Inherits:  SphericalSurface CarpetRegrid2 \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CartGrid3D\n",
      "           Implements: grid\n",
      "           Inherits:  coordbase \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   CoordBase\n",
      "           Implements: CoordBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CycleClock\n",
      "           Implements: CycleClock\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Dissipation\n",
      "           Implements: Dissipation\n",
      "           Inherits:  grid SphericalSurface SpaceMask \n",
      "           0 Public, 0 Protected, 1 Private variable groups\n",
      "   Fortran\n",
      "           Implements: Fortran\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Funwave\n",
      "           Implements: funwave\n",
      "           Inherits:  grid tridiagonal funwavecoord \n",
      "           25 Public, 0 Protected, 0 Private variable groups\n",
      "   FunwaveCoord\n",
      "           Implements: FunwaveCoord\n",
      "           Inherits:  grid \n",
      "           1 Public, 0 Protected, 0 Private variable groups\n",
      "   FunwaveMesh\n",
      "           Implements: funwavemesh\n",
      "           Inherits:  funwave FunwaveCoord \n",
      "           0 Public, 0 Protected, 2 Private variable groups\n",
      "   HDF5\n",
      "           Implements: HDF5\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   IOASCII\n",
      "           Implements: IOASCII\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   IOBasic\n",
      "           Implements: IOBasic\n",
      "           Inherits:  IO \n",
      "           0 Public, 0 Protected, 2 Private variable groups\n",
      "   IOUtil\n",
      "           Implements: IO\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   InitBase\n",
      "           Implements: InitBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   InterpToArray\n",
      "           Implements: InterpToArray\n",
      "           7 Public, 0 Protected, 0 Private variable groups\n",
      "   LocalInterp\n",
      "           Implements: LocalInterp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   LocalReduce\n",
      "           Implements: LocalReduce\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   LoopControl\n",
      "           Implements: LoopControl\n",
      "           Inherits:  CycleClock \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   MPI\n",
      "           Implements: MPI\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   MoL\n",
      "           Implements: MethodOfLines\n",
      "           0 Public, 0 Protected, 9 Private variable groups\n",
      "   NaNChecker\n",
      "           Implements: NaNChecker\n",
      "           Inherits:  Reduce \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   SpaceMask\n",
      "           Implements: SpaceMask\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   SphericalSurface\n",
      "           Implements: SphericalSurface\n",
      "           Inherits:  grid \n",
      "           9 Public, 0 Protected, 1 Private variable groups\n",
      "   SymBase\n",
      "           Implements: SymBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   SystemTopology\n",
      "           Implements: SystemTopology\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   TestCarpetGridInfo\n",
      "           Implements: TestCarpetGridInfo\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   TestLoopControl\n",
      "           Implements: TestLoopControl\n",
      "           Inherits:  grid \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   Time\n",
      "           Implements: time\n",
      "           1 Public, 0 Protected, 1 Private variable groups\n",
      "   Timers\n",
      "           Implements: Timers\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Tridiagonal\n",
      "           Implements: tridiagonal\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 4 Private variable groups\n",
      "   Tridiagonal2\n",
      "           Implements: tridiagonal\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 1 Private variable groups\n",
      "   Vectors\n",
      "           Implements: Vectors\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   WaveToyET17\n",
      "           Implements: WaveToyET17\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   hwloc\n",
      "           Implements: hwloc\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   zlib\n",
      "           Implements: zlib\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "Parsing parameter files...\n",
      "   AEILocalInterp\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Boundary\n",
      "          0 Global, 8 Restricted, 0 Private parameters\n",
      "   Cactus\n",
      "          0 Global, 6 Restricted, 13 Private parameters\n",
      "   Carpet\n",
      "          0 Global, 4 Restricted, 94 Private parameters\n",
      "   CarpetEvolutionMask\n",
      "          0 Global, 0 Restricted, 6 Private parameters\n",
      "   CarpetIOASCII\n",
      "          0 Global, 0 Restricted, 63 Private parameters\n",
      "   CarpetIOBasic\n",
      "          0 Global, 0 Restricted, 15 Private parameters\n",
      "   CarpetIOHDF5\n",
      "          0 Global, 0 Restricted, 77 Private parameters\n",
      "   CarpetIOScalar\n",
      "          0 Global, 0 Restricted, 9 Private parameters\n",
      "   CarpetInterp\n",
      "          0 Global, 0 Restricted, 5 Private parameters\n",
      "   CarpetInterp2\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CarpetLib\n",
      "          0 Global, 5 Restricted, 31 Private parameters\n",
      "   CarpetMask\n",
      "          0 Global, 0 Restricted, 8 Private parameters\n",
      "   CarpetReduce\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CarpetRegrid\n",
      "          0 Global, 5 Restricted, 65 Private parameters\n",
      "   CarpetRegrid2\n",
      "          0 Global, 0 Restricted, 135 Private parameters\n",
      "   CarpetSlab\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   CarpetTracker\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CartGrid3D\n",
      "          0 Global, 23 Restricted, 10 Private parameters\n",
      "   CoordBase\n",
      "          0 Global, 0 Restricted, 44 Private parameters\n",
      "   CycleClock\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Dissipation\n",
      "          0 Global, 18 Restricted, 0 Private parameters\n",
      "   Fortran\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Funwave\n",
      "          0 Global, 105 Restricted, 0 Private parameters\n",
      "   FunwaveCoord\n",
      "          0 Global, 10 Restricted, 0 Private parameters\n",
      "   FunwaveMesh\n",
      "          0 Global, 5 Restricted, 0 Private parameters\n",
      "   HDF5\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   IOASCII\n",
      "          0 Global, 0 Restricted, 35 Private parameters\n",
      "   IOBasic\n",
      "          0 Global, 0 Restricted, 13 Private parameters\n",
      "   IOUtil\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          0 Global, 59 Restricted, 2 Private parameters\n",
      "   InitBase\n",
      "          0 Global, 1 Restricted, 0 Private parameters\n",
      "   InterpToArray\n",
      "          0 Global, 93 Restricted, 0 Private parameters\n",
      "   LocalInterp\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   LocalReduce\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   LoopControl\n",
      "          0 Global, 0 Restricted, 20 Private parameters\n",
      "   MPI\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   MoL\n",
      "          0 Global, 9 Restricted, 26 Private parameters\n",
      "   NaNChecker\n",
      "          0 Global, 0 Restricted, 11 Private parameters\n",
      "   SpaceMask\n",
      "          0 Global, 1 Restricted, 0 Private parameters\n",
      "   SphericalSurface\n",
      "          0 Global, 15 Restricted, 9 Private parameters\n",
      "   SymBase\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   SystemTopology\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   TestCarpetGridInfo\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   TestLoopControl\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   Time\n",
      "          0 Global, 2 Restricted, 5 Private parameters\n",
      "   Timers\n",
      "          0 Global, 0 Restricted, 6 Private parameters\n",
      "   Tridiagonal\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Tridiagonal2\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   Vectors\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   WaveToyET17\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   hwloc\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   zlib\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "Parsing schedule files...\n",
      "   AEILocalInterp\n",
      "          1 schedule blocks.\n",
      "   Boundary\n",
      "          6 schedule blocks.\n",
      "   Cactus\n",
      "          0 schedule blocks.\n",
      "   Carpet\n",
      "          6 schedule blocks.\n",
      "   CarpetEvolutionMask\n",
      "          7 schedule blocks.\n",
      "   CarpetIOASCII\n",
      "          2 schedule blocks.\n",
      "   CarpetIOBasic\n",
      "          2 schedule blocks.\n",
      "   CarpetIOHDF5\n",
      "          10 schedule blocks.\n",
      "   CarpetIOScalar\n",
      "          2 schedule blocks.\n",
      "   CarpetInterp\n",
      "          1 schedule blocks.\n",
      "   CarpetInterp2\n",
      "          0 schedule blocks.\n",
      "   CarpetLib\n",
      "          4 schedule blocks.\n",
      "   CarpetMask\n",
      "          4 schedule blocks.\n",
      "   CarpetReduce\n",
      "          15 schedule blocks.\n",
      "   CarpetRegrid\n",
      "          1 schedule blocks.\n",
      "   CarpetRegrid2\n",
      "          2 schedule blocks.\n",
      "   CarpetSlab\n",
      "          0 schedule blocks.\n",
      "   CarpetTracker\n",
      "          1 schedule blocks.\n",
      "   CartGrid3D\n",
      "          11 schedule blocks.\n",
      "   CoordBase\n",
      "          1 schedule blocks.\n",
      "   CycleClock\n",
      "          1 schedule blocks.\n",
      "   Dissipation\n",
      "          6 schedule blocks.\n",
      "   Fortran\n",
      "          1 schedule blocks.\n",
      "   Funwave\n",
      "          64 schedule blocks.\n",
      "   FunwaveCoord\n",
      "          3 schedule blocks.\n",
      "   FunwaveMesh\n",
      "          1 schedule blocks.\n",
      "   HDF5\n",
      "          0 schedule blocks.\n",
      "   IOASCII\n",
      "          3 schedule blocks.\n",
      "   IOBasic\n",
      "          2 schedule blocks.\n",
      "   IOUtil\n",
      "          4 schedule blocks.\n",
      "   InitBase\n",
      "          0 schedule blocks.\n",
      "   InterpToArray\n",
      "          1 schedule blocks.\n",
      "   LocalInterp\n",
      "          1 schedule blocks.\n",
      "   LocalReduce\n",
      "          1 schedule blocks.\n",
      "   LoopControl\n",
      "          4 schedule blocks.\n",
      "   MPI\n",
      "          0 schedule blocks.\n",
      "   MoL\n",
      "          66 schedule blocks.\n",
      "   NaNChecker\n",
      "          10 schedule blocks.\n",
      "   SpaceMask\n",
      "          9 schedule blocks.\n",
      "   SphericalSurface\n",
      "          7 schedule blocks.\n",
      "   SymBase\n",
      "          5 schedule blocks.\n",
      "   SystemTopology\n",
      "          1 schedule blocks.\n",
      "   TestCarpetGridInfo\n",
      "          1 schedule blocks.\n",
      "   TestLoopControl\n",
      "          3 schedule blocks.\n",
      "   Time\n",
      "          7 schedule blocks.\n",
      "   Timers\n",
      "          2 schedule blocks.\n",
      "   Tridiagonal\n",
      "          16 schedule blocks.\n",
      "   Tridiagonal2\n",
      "          17 schedule blocks.\n",
      "   Vectors\n",
      "          2 schedule blocks.\n",
      "   WaveToyET17\n",
      "          3 schedule blocks.\n",
      "   hwloc\n",
      "          0 schedule blocks.\n",
      "   zlib\n",
      "          0 schedule blocks.\n",
      "Running any thorn-provided configuration scripts...\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn FORTRAN:\n",
      "Found a traditional Fortran cpp\n",
      "Finished running configuration script for thorn FORTRAN.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn VECTORS:\n",
      "Finished running configuration script for thorn VECTORS.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn ZLIB:\n",
      "zlib selected, but ZLIB_DIR not set. Checking some places...\n",
      "Found zlib in /usr\n",
      "Finished running configuration script for thorn ZLIB.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn HWLOC:\n",
      "hwloc selected, but HWLOC_DIR not set. Checking some places...\n",
      "Found hwloc in /usr\n",
      "Finished running configuration script for thorn HWLOC.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn MPI:\n",
      "Found MPI compiler wrapper at /usr/lib64/mpich/bin/mpic++!\n",
      "Successfully configured MPI.\n",
      "Finished running configuration script for thorn MPI.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn HDF5:\n",
      "Additional requested language support:  Fortran\n",
      "HDF5 selected, and /usr selected.\n",
      "HDF5 found.\n",
      "Finished running configuration script for thorn HDF5.\n",
      "Checking consistency...\n",
      "Creating Thorn-Flesh bindings...\n",
      "   Creating implementation bindings...\n",
      "   Creating parameter bindings...\n",
      "   Creating variable bindings...\n",
      "   Creating schedule bindings...\n",
      "   Creating function bindings...\n",
      "CST finished.\n",
      "Checking status of thorn AEILocalInterp\n",
      "Checking status of thorn Boundary\n",
      "Checking status of thorn CycleClock\n",
      "Checking status of thorn Vectors\n",
      "Checking status of thorn zlib\n",
      "Checking status of thorn IOUtil\n",
      "Checking status of thorn CarpetTracker\n",
      "Checking status of thorn CoordBase\n",
      "Checking status of thorn SphericalSurface\n",
      "Checking status of thorn Fortran\n",
      "Checking status of thorn FunwaveCoord\n",
      "Checking status of thorn FunwaveMesh\n",
      "Checking status of thorn IOASCII\n",
      "Checking status of thorn IOBasic\n",
      "Checking status of thorn InitBase\n",
      "Checking status of thorn InterpToArray\n",
      "Checking status of thorn LocalInterp\n",
      "Checking status of thorn LocalReduce\n",
      "Checking status of thorn MoL\n",
      "Checking status of thorn NaNChecker\n",
      "Checking status of thorn SymBase\n",
      "Checking status of thorn Time\n",
      "Checking status of thorn WaveToyET17\n",
      "Checking status of thorn CactusBindings\n",
      "COMPILING configs/sim/bindings/Schedule/ScheduleWaveToyET17.c\n",
      "COMPILING arrangements/FunwaveUtils/WaveToyET17/src/init.cc\n",
      "Updating /home/sbrandt/CactusFW2/configs/sim/lib/libthorn_CactusBindings.a\n",
      "Checking status of thorn hwloc\n",
      "Checking status of thorn CartGrid3D\n",
      "COMPILING arrangements/FunwaveUtils/WaveToyET17/src/evolve.cc\n",
      "Checking status of thorn Dissipation\n",
      "Checking status of thorn SpaceMask\n",
      "COMPILING arrangements/FunwaveUtils/WaveToyET17/src/molregister.cc\n",
      "Checking status of thorn LoopControl\n",
      "Checking status of thorn MPI\n",
      "Checking status of thorn CarpetMask\n",
      "Updating /home/sbrandt/CactusFW2/configs/sim/lib/libthorn_WaveToyET17.a\n",
      "Checking status of thorn SystemTopology\n",
      "Checking status of thorn TestLoopControl\n",
      "Checking status of thorn Tridiagonal\n",
      "Checking status of thorn Tridiagonal2\n",
      "Checking status of thorn Cactus\n",
      "Checking status of thorn CarpetLib\n",
      "Checking status of thorn HDF5\n",
      "Checking status of thorn Timers\n",
      "Checking status of thorn Funwave\n",
      "Checking status of thorn Carpet\n",
      "Checking status of thorn CarpetEvolutionMask\n",
      "Checking status of thorn CarpetIOASCII\n",
      "Checking status of thorn CarpetIOBasic\n",
      "Checking status of thorn CarpetIOHDF5\n",
      "Checking status of thorn CarpetIOScalar\n",
      "Checking status of thorn CarpetInterp\n",
      "Checking status of thorn CarpetInterp2\n",
      "Checking status of thorn CarpetReduce\n",
      "Checking status of thorn CarpetRegrid\n",
      "Checking status of thorn CarpetRegrid2\n",
      "Checking status of thorn CarpetSlab\n",
      "Checking status of thorn TestCarpetGridInfo\n",
      "Creating cactus_sim in /home/sbrandt/CactusFW2/exe from AEIThorns/AEILocalInterp CactusBase/Boundary Carpet/Carpet Carpet/CarpetEvolutionMask Carpet/CarpetIOASCII Carpet/CarpetIOBasic Carpet/CarpetIOHDF5 Carpet/CarpetIOScalar Carpet/CarpetInterp Carpet/CarpetInterp2 Carpet/CarpetLib Carpet/CarpetMask Carpet/CarpetReduce Carpet/CarpetRegrid Carpet/CarpetRegrid2 Carpet/CarpetSlab Carpet/CarpetTracker CactusBase/CartGrid3D CactusBase/CoordBase Carpet/CycleClock CactusNumerical/Dissipation CactusBase/Fortran CactusCoastal/Funwave CactusCoastal/FunwaveCoord CactusCoastal/FunwaveMesh ExternalLibraries/HDF5 CactusBase/IOASCII CactusBase/IOBasic CactusBase/IOUtil CactusBase/InitBase CactusNumerical/InterpToArray CactusNumerical/LocalInterp CactusNumerical/LocalReduce Carpet/LoopControl ExternalLibraries/MPI CactusNumerical/MoL CactusUtils/NaNChecker CactusNumerical/SpaceMask CactusNumerical/SphericalSurface CactusBase/SymBase CactusUtils/SystemTopology Carpet/TestCarpetGridInfo Carpet/TestLoopControl CactusBase/Time Carpet/Timers CactusCoastal/Tridiagonal CactusCoastal/Tridiagonal2 CactusUtils/Vectors FunwaveUtils/WaveToyET17 ExternalLibraries/hwloc ExternalLibraries/zlib\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done creating cactus_sim.\n",
      "All done !\n",
      "Building utilities for sim\n",
      "Building utilities for sim\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOASCII/src/util/carpet2xgraph.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5toascii_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5tobinary_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5_recombiner.cc\n",
      "Copying gif2h5 from /usr/bin/gif2h5 to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h52gif from /usr/bin/h52gif to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5copy from /usr/bin/h5copy to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5debug from /usr/bin/h5debug to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5diff from /usr/bin/h5diff to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5dump from /usr/bin/h5dump to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5import from /usr/bin/h5import to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5jam from /usr/bin/h5jam to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5ls from /usr/bin/h5ls to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5mkgrp from /usr/bin/h5mkgrp to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5perf_serial from /usr/bin/h5perf_serial to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5redeploy from /usr/bin/h5redeploy to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5repack from /usr/bin/h5repack to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5repart from /usr/bin/h5repart to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5stat from /usr/bin/h5stat to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5unjam from /usr/bin/h5unjam to /home/sbrandt/CactusFW2/exe/sim\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_merge.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_extract.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_double_to_single.c\n",
      "Copying mpirun from /usr/lib64/mpich/bin/mpirun to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-info from /usr/bin/hwloc-info to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-ps from /usr/bin/hwloc-ps to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-bind from /usr/bin/hwloc-bind to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-ls from /usr/bin/hwloc-ls to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying lstopo-no-graphics from /usr/bin/lstopo-no-graphics to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-assembler-remote from /usr/bin/hwloc-assembler-remote to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-calc from /usr/bin/hwloc-calc to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-assembler from /usr/bin/hwloc-assembler to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-distances from /usr/bin/hwloc-distances to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-distrib from /usr/bin/hwloc-distrib to /home/sbrandt/CactusFW2/exe/sim\n",
      "Creating carpet2xgraph in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOASCII/carpet2xgraph.o\n",
      "Creating hdf5toascii_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5toascii_slicer.o\n",
      "Creating hdf5tobinary_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5tobinary_slicer.o\n",
      "Creating hdf5_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5_slicer.o\n",
      "Creating hdf5_recombiner in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5_recombiner.o\n",
      "Creating hdf5_merge in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_merge.o\n",
      "Creating hdf5_extract in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_extract.o\n",
      "Creating hdf5_double_to_single in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_double_to_single.o\n",
      "Done.\n",
      "\n",
      "real\t0m11.615s\n",
      "user\t0m13.628s\n",
      "sys\t0m3.697s\n"
     ]
    }
   ],
   "source": [
    "!time ./simfactory/bin/sim build -j 2 --thornlist=./my_thorns.th"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'wave_toy.par'\n"
     ]
    }
   ],
   "source": [
    "# A minimal par file....\n",
    "\n",
    "wave_toy_par_src = \"\"\"\n",
    "ActiveThorns = \"{thorn_name} coordbase carpet cartgrid3d MoL\"\n",
    "\n",
    "Cactus::cctk_itlast = 250\n",
    "\n",
    "# the output dir will be named after the parameter file name\n",
    "IO::out_dir = $parfile\n",
    "\n",
    "# The set of parameters required to specify the grid...\n",
    "Carpet::domain_from_coordbase = \"yes\"\n",
    "CartGrid3D::type = \"coordbase\"\n",
    "CartGrid3D::avoid_origin = \"no\"\n",
    "CoordBase::domainsize = \"minmax\"\n",
    "CoordBase::spacing    = \"gridspacing\"\n",
    "CoordBase::xmin =  0\n",
    "CoordBase::xmax =  30\n",
    "CoordBase::ymin =  0\n",
    "CoordBase::ymax =  30\n",
    "CoordBase::zmin =  0.0\n",
    "CoordBase::zmax =  0.0\n",
    "CoordBase::dx   =  0.25\n",
    "CoordBase::dy   =  0.25\n",
    "\n",
    "# Because we're doing a 2D code...\n",
    "CoordBase::boundary_size_z_lower     = 0\n",
    "CoordBase::boundary_size_z_upper     = 0\n",
    "CoordBase::boundary_shiftout_z_lower = 1\n",
    "CoordBase::boundary_shiftout_z_upper = 1\n",
    "\n",
    "# The time integration scheme...\n",
    "MoL::ODE_Method = \"RK3\"\n",
    "\n",
    "# The next section is required if you want some kind of confirmation\n",
    "# on the console that your code is actually doing anything...\n",
    "ActiveThorns = \"CarpetIOBasic IOUtil CarpetReduce SymBase\"\n",
    "IO::out_fileinfo=\"none\"\n",
    "IOBasic::outInfo_every = 1\n",
    "IOBasic::outInfo_vars = \"{thorn_name}::phi {thorn_name}::psi\"\n",
    "\n",
    "# Get some data!\n",
    "ActiveThorns = \"CarpetIOASCII\"\n",
    "CarpetIOASCII::compact_format = false\n",
    "IOASCII::out2D_every = 25\n",
    "IOASCII::out2D_xyplane_z = 0\n",
    "IOASCII::out2D_vars = \"{thorn_name}::psi {thorn_name}::phi\"\n",
    "IOASCII::out2D_xz = \"no\"\n",
    "IOASCII::out2D_yz = \"no\"\n",
    "IOASCII::output_ghost_points = \"no\"\n",
    "\n",
    "# Taking too big a time step can lead to unstable evolution.\n",
    "# You can control that with dtfac and thorn Time.\n",
    "ActiveThorns = \"Time\"\n",
    "Time::dtfac = .2\n",
    "\"\"\"\n",
    "create_file(\"wave_toy.par\",wave_toy_par_src,thorn_pars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameter file: /home/sbrandt/CactusFW2/wave_toy.par\n",
      "Skeleton Created\n",
      "Job directory: \"/home/sbrandt/simulations/wave_toy\"\n",
      "Executable: \"/home/sbrandt/CactusFW2/exe/cactus_sim\"\n",
      "Option list: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/cfg/OptionList\"\n",
      "Submit script: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/run/SubmitScript\"\n",
      "Run script: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/run/RunScript\"\n",
      "Parameter file: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/par/wave_toy.par\"\n",
      "Simulation name: wave_toy\n",
      "Assigned restart id: 0 \n",
      "Warning: Total number of threads and number of cores per node are inconsistent: procs=1, ppn-used=2 (procs must be an integer multiple of ppn-used)\n",
      "Running simulation wave_toy\n",
      "Preparing:\n",
      "+ set -e\n",
      "+ echo Checking:\n",
      "Checking:\n",
      "+ pwd\n",
      "/home/sbrandt/simulations/wave_toy/output-0000\n",
      "+ hostname\n",
      "melete05.cct.lsu.edu\n",
      "+ date\n",
      "Thu Jul 27 11:24:32 CDT 2017\n",
      "+ echo Environment:\n",
      "Environment:\n",
      "+ export CACTUS_NUM_PROCS=1\n",
      "+ CACTUS_NUM_PROCS=1\n",
      "+ export CACTUS_NUM_THREADS=1\n",
      "+ CACTUS_NUM_THREADS=1\n",
      "+ export GMON_OUT_PREFIX=gmon.out\n",
      "+ GMON_OUT_PREFIX=gmon.out\n",
      "+ export OMP_NUM_THREADS=1\n",
      "+ OMP_NUM_THREADS=1\n",
      "+ echo Starting:\n",
      "Starting:\n",
      "++ date +%s\n",
      "+ export CACTUS_STARTTIME=1501172672\n",
      "+ CACTUS_STARTTIME=1501172672\n",
      "+ '[' 0 -eq 0 ']'\n",
      "+ '[' 1 = 1 ']'\n",
      "+ /home/sbrandt/simulations/wave_toy/SIMFACTORY/exe/cactus_sim -L 3 /home/sbrandt/simulations/wave_toy/output-0000/wave_toy.par\n",
      "INFO (Cactus): Increasing logging level from 0 to 3\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "       10                                  \n",
      "  1   0101       ************************  \n",
      "  01  1010 10      The Cactus Code V4.2.3    \n",
      " 1010 1101 011      www.cactuscode.org     \n",
      "  1001 100101    ************************  \n",
      "    00010101                               \n",
      "     100011     (c) Copyright The Authors  \n",
      "      0100      GNU Licensed. No Warranty  \n",
      "      0101                                 \n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Cactus version:    4.2.3\n",
      "Compile date:      Jul 27 2017 (11:24:25)\n",
      "Run date:          Jul 27 2017 (11:24:32-0500)\n",
      "Run host:          melete05.cct.lsu.edu (pid=90090)\n",
      "Working directory: /home/sbrandt/simulations/wave_toy/output-0000\n",
      "Executable:        /home/sbrandt/simulations/wave_toy/SIMFACTORY/exe/cactus_sim\n",
      "Parameter file:    /home/sbrandt/simulations/wave_toy/output-0000/wave_toy.par\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Activating thorn Cactus...Success -> active implementation Cactus\n",
      "Activation requested for \n",
      "--->WaveToyET17 coordbase carpet cartgrid3d MoL CarpetIOBasic IOUtil CarpetReduce SymBase CarpetIOASCII Time <---\n",
      "Thorn carpet requests automatic activation of CarpetLib\n",
      "Thorn carpet requests automatic activation of MPI\n",
      "Thorn carpet requests automatic activation of Timers\n",
      "Thorn carpet requests automatic activation of LoopControl\n",
      "Thorn CarpetLib requests automatic activation of Vectors\n",
      "Thorn CarpetLib requests automatic activation of CycleClock\n",
      "Thorn LoopControl requests automatic activation of hwloc\n",
      "Thorn hwloc requests automatic activation of zlib\n",
      "Activating thorn carpet...Success -> active implementation Driver\n",
      "Activating thorn CarpetIOASCII...Success -> active implementation IOASCII\n",
      "Activating thorn CarpetIOBasic...Success -> active implementation IOBasic\n",
      "Activating thorn CarpetLib...Success -> active implementation CarpetLib\n",
      "Activating thorn CarpetReduce...Success -> active implementation reduce\n",
      "Activating thorn cartgrid3d...Success -> active implementation grid\n",
      "Activating thorn coordbase...Success -> active implementation CoordBase\n",
      "Activating thorn CycleClock...Success -> active implementation CycleClock\n",
      "Activating thorn hwloc...Success -> active implementation hwloc\n",
      "Activating thorn IOUtil...Success -> active implementation IO\n",
      "Activating thorn LoopControl...Success -> active implementation LoopControl\n",
      "Activating thorn MoL...Success -> active implementation MethodOfLines\n",
      "Activating thorn MPI...Success -> active implementation MPI\n",
      "Activating thorn SymBase...Success -> active implementation SymBase\n",
      "Activating thorn Time...Success -> active implementation time\n",
      "Activating thorn Timers...Success -> active implementation Timers\n",
      "Activating thorn Vectors...Success -> active implementation Vectors\n",
      "Activating thorn WaveToyET17...Success -> active implementation WaveToyET17\n",
      "Activating thorn zlib...Success -> active implementation zlib\n",
      "--------------------------------------------------------------------------------\n",
      "  if (recover initial data)\n",
      "    Recover parameters\n",
      "  endif\n",
      "\n",
      "  Startup routines\n",
      "    [CCTK_STARTUP]\n",
      "      Carpet::MultiModel_Startup: Multi-model Startup routine\n",
      "      CycleClock::CycleClock_Setup: Set up CycleClock\n",
      "      LoopControl::lc_setup: Set up LoopControl\n",
      "      Timers::Timer_Startup: Prepare hierarchical timers\n",
      "      CarpetReduce::CarpetReduceStartup: Startup routine\n",
      "      CartGrid3D::SymmetryStartup: Register GH Extension for GridSymmetry\n",
      "      CoordBase::CoordBase_Startup: Register a GH extension to store the coordinate system handles\n",
      "      Carpet::Driver_Startup: Startup routine\n",
      "      IOUtil::IOUtil_Startup: Startup routine\n",
      "      CarpetIOBasic::CarpetIOBasicStartup: [global] Startup routine\n",
      "      MoL::MoL_Startup: Startup banner\n",
      "      SymBase::SymBase_Startup: Register GH Extension for SymBase\n",
      "      CarpetIOASCII::CarpetIOASCIIStartup: [global] Startup routine\n",
      "      Vectors::Vectors_Startup: Print startup message\n",
      "\n",
      "  Startup routines which need an existing grid hierarchy\n",
      "    [CCTK_WRAGH]\n",
      "      CartGrid3D::RegisterCartGrid3DCoords: [meta] Register coordinates for the Cartesian grid\n",
      "      MoL::MoL_SetupIndexArrays: Set up the MoL bookkeeping index arrays\n",
      "      MoL::MoL_SetScheduleStatus: [global] Set the flag so it is ok to register with MoL\n",
      "      GROUP MoL_Register: The group where physics thorns register variables with MoL\n",
      "        WaveToyET17::wave_toy_registervars: Register funwave variables for MoL\n",
      "      MoL::MoL_ReportNumberVariables: [meta] Report how many of each type of variable there are\n",
      "      GROUP SymBase_Wrapper: Wrapper group for SymBase\n",
      "        GROUP SymmetryRegister: Register your symmetries here\n",
      "          CartGrid3D::RegisterSymmetryBoundaries: [meta] Register symmetry boundaries\n",
      "        SymBase::SymBase_Statistics: Print symmetry boundary face descriptions\n",
      "  Parameter checking routines\n",
      "    [CCTK_PARAMCHECK]\n",
      "      Carpet::CarpetParamCheck: Parameter checking routine\n",
      "      CarpetLib::CarpetLib_test_prolongate_3d_rf2: [global] Test prolongation operators\n",
      "      CartGrid3D::ParamCheck_CartGrid3D: Check coordinates for CartGrid3D\n",
      "      MoL::MoL_ParamCheck: Basic parameter checking\n",
      "      Vectors::Vectors_Test: Run correctness tests.\n",
      "\n",
      "  Initialisation\n",
      "    if (NOT (recover initial data AND recovery_mode is 'strict'))\n",
      "      [CCTK_PREREGRIDINITIAL]\n",
      "      Set up grid hierarchy\n",
      "      [CCTK_POSTREGRIDINITIAL]\n",
      "        CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_INITIAL]\n",
      "        CarpetIOASCII::CarpetIOASCIIInit: [global] Initialisation routine\n",
      "        CarpetIOBasic::CarpetIOBasicInit: [global] Initialisation routine\n",
      "        MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "        WaveToyET17::init_wave_toy: initialize data\n",
      "      [CCTK_POSTINITIAL]\n",
      "        GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after the initial data have been set up\n",
      "        GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "      Initialise finer grids recursively\n",
      "      Restrict from finer grids\n",
      "      [CCTK_POSTRESTRICTINITIAL]\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_POSTPOSTINITIAL]\n",
      "      [CCTK_POSTSTEP]\n",
      "    endif\n",
      "    if (recover initial data)\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_RECOVER_VARIABLES]\n",
      "      [CCTK_POST_RECOVER_VARIABLES]\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after recovery\n",
      "    endif\n",
      "    if (checkpoint initial data)\n",
      "      [CCTK_CPINITIAL]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "        CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "        CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "        LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "  endif\n",
      "  Output grid variables\n",
      "\n",
      "  do loop over timesteps\n",
      "    [CCTK_PREREGRID]\n",
      "    Change grid hierarchy\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    Rotate timelevels\n",
      "    iteration = iteration+1\n",
      "    t = t+dt\n",
      "    [CCTK_PRESTEP]\n",
      "      LoopControl::lc_steer: [meta] Update LoopControl algorithm preferences\n",
      "    [CCTK_EVOL]\n",
      "      MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "      while (MoL::MoL_Stepsize_Bad)\n",
      "        GROUP MoL_Evolution: A single Cactus evolution step using MoL\n",
      "          GROUP MoL_StartStep: MoL internal setup for the evolution step\n",
      "            MoL::MoL_SetCounter: [level] Set the counter for the ODE method to loop over\n",
      "            MoL::MoL_SetTime: [level] Ensure the correct time and timestep are used\n",
      "            MoL::MoL_AllocateScratchSpace: [level] Allocate storage for scratch levels\n",
      "          GROUP MoL_PreStep: Physics thorns can schedule preloop setup routines in here\n",
      "          MoL::MoL_AllocateScratch: Allocate sufficient space for array scratch variables\n",
      "          MoL::MoL_InitialCopy: Ensure the data is in the correct timelevel\n",
      "          while (MoL::MoL_Intermediate_Step)\n",
      "            GROUP MoL_Step: The loop over the intermediate steps for the ODE integrator\n",
      "              MoL::MoL_InitRHS: Initialise the RHS functions\n",
      "              GROUP MoL_CalcRHS: Physics thorns schedule the calculation of the discrete spatial operator in here\n",
      "                WaveToyET17::evolve_wave_toy: evolve data\n",
      "              GROUP MoL_PostRHS: Modify RHS functions\n",
      "              GROUP MoL_RHSBoundaries: Any 'final' modifications to the RHS functions (boundaries etc.)\n",
      "              MoL::MoL_Add: Updates calculated with the efficient Runge-Kutta 3 method\n",
      "              MoL::MoL_DecrementCounter: [level] Alter the counter number\n",
      "              MoL::MoL_ResetTime: [level] If necessary, change the time\n",
      "              GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "              GROUP MoL_PostStep: The group for physics thorns to schedule boundary calls etc.\n",
      "              MoL::MoL_ResetDeltaTime: [level] If necessary, change the timestep\n",
      "          end while\n",
      "          MoL::MoL_FinishLoop: [level] Control the step size\n",
      "          MoL::MoL_RestoreSandR: Restoring the Save and Restore variables to the original state\n",
      "          MoL::MoL_FreeScratchSpace: [level] Free storage for scratch levels\n",
      "      end while\n",
      "      GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "    Evolve finer grids recursively\n",
      "    Restrict from finer grids\n",
      "    [CCTK_POSTRESTRICT]\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    [CCTK_POSTSTEP]\n",
      "    if (checkpoint)\n",
      "      [CCTK_CHECKPOINT]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "      CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "      CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "      LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "    endif\n",
      "    Output grid variables\n",
      "    enddo\n",
      "\n",
      "  Termination routines\n",
      "    [CCTK_TERMINATE]\n",
      "      LoopControl::lc_statistics_terminate: [meta] Output LoopControl statistics\n",
      "      MoL::MoL_FreeIndexArrays: Free the MoL bookkeeping index arrays\n",
      "\n",
      "  Shutdown routines\n",
      "    [CCTK_SHUTDOWN]\n",
      "      Timers::Timer_Shutdown: Prepare hierarchical timers\n",
      "\n",
      "  Routines run after changing the grid hierarchy:\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "--------------------------------------------------------------------------------\n",
      "INFO (Carpet): Multi-Model listing:\n",
      "   model 0: \"world\"\n",
      "INFO (Carpet): Multi-Model process distribution:\n",
      "   process 0: model 0 \"world\"\n",
      "INFO (Carpet): Multi-Model: This is process 0, model 0 \"world\"\n",
      "INFO (CarpetLib): Process startup time was 0.591 seconds\n",
      "Current core file size limit: hard=[unlimited], soft=0 MB\n",
      "Current memory size limit: hard=[unlimited], soft=[unlimited]\n",
      "INFO (CycleClock): Measuring CycleClock tick via gettimeofday...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO (CycleClock): Calibrated CycleClock: 0.454548 ns per clock tick (2.19999 GHz)\n",
      "INFO (Vectors): Using vector size 1 for architecture scalar (no vectorisation, 64-bit precision)\n",
      "--------------------------------------------------------------------------------\n",
      "AMR driver provided by Carpet\n",
      "--------------------------------------------------------------------------------\n",
      "AMR info I/O provided by CarpetIOBasic\n",
      "--------------------------------------------------------------------------------\n",
      "MoL: Generalized time integration.\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 0D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 1D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 2D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 3D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "INFO (Carpet): MPI is enabled\n",
      "INFO (Carpet): Carpet is running on 1 processes\n",
      "INFO (Carpet): This is process 0\n",
      "INFO (Carpet): OpenMP is disabled\n",
      "\u001b[1mWARNING[L1,P0] (Carpet):\u001b[0m Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "\u001b[1mWARNING[L1,P0] (Carpet):\u001b[0m Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "INFO (Carpet): This process runs on host melete05.cct.lsu.edu, pid=90090\n",
      "INFO (Carpet): This process runs on 80 cores: 0-79\n",
      "INFO (Carpet): Thread 0 runs on 80 cores: 0-79\n",
      "INFO (Carpet): This simulation is running in 3 dimensions\n",
      "INFO (Carpet): Boundary specification for map 0:\n",
      "   nboundaryzones: [[1,1,0],[1,1,0]]\n",
      "   is_internal   : [[0,0,0],[0,0,0]]\n",
      "   is_staggered  : [[0,0,0],[0,0,0]]\n",
      "   shiftout      : [[0,0,1],[0,0,1]]\n",
      "INFO (Carpet): CoordBase domain specification for map 0:\n",
      "   physical extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent: [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   base_spacing   : [0.25,0.25,1]\n",
      "INFO (Carpet): Adapted domain specification for map 0:\n",
      "   convergence factor: 2\n",
      "   convergence level : 0\n",
      "   physical extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent   : [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   spacing           : [0.25,0.25,1]\n",
      "INFO (Carpet): Base grid specification for map 0:\n",
      "   number of grid points             : [121,121,1]\n",
      "   number of coarse grid ghost points: [[1,1,1],[1,1,1]]\n",
      "INFO (Carpet): Buffer zone counts (excluding ghosts):\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Overlap zone counts:\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Group and variable statistics:\n",
      "INFO (Carpet):    There are 215 grid functions in 12 groups\n",
      "INFO (Carpet):    There are 60 grid scalars in 14 groups\n",
      "INFO (Carpet):    There are 11 1-dimensional grid arrays in 4 groups\n",
      "INFO (Carpet):    There are 1 2-dimensional grid arrays in 1 groups\n",
      "INFO (Carpet):    There are 0 3-dimensional grid arrays in 0 groups\n",
      "INFO (Carpet):    (The number of variables counts all time levels)\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_0D' registered: 0D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_1D' registered: 1D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_2D' registered: 2D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): Periodic 2D AMR output requested for:\n",
      "   WAVETOYET17::psi\n",
      "   WAVETOYET17::phi\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_3D' registered: 3D AMR output of grid variables to ASCII files\n",
      "INFO (MoL): Using Runge-Kutta 3 as the time integrator.\n",
      "INFO (MoL): The maximum number of evolved variables is 87. 2 are registered.\n",
      "INFO (MoL): The maximum number of slow evolved variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of evolved array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum size of any array variables is 0.\n",
      "INFO (Vectors): Testing vectorisation... [errors may result in segfaults]\n",
      "INFO (Vectors): 93/93 tests passed \n",
      "INFO (CartGrid3D): Grid Spacings:\n",
      "INFO (CartGrid3D): dx=>2.5000000e-01  dy=>2.5000000e-01  dz=>1.0000000e+00\n",
      "INFO (CartGrid3D): Computational Coordinates:\n",
      "INFO (CartGrid3D): x=>[ 0.000,30.000]  y=>[ 0.000,30.000]  z=>[ 0.000, 0.000]\n",
      "INFO (CartGrid3D): Indices of Physical Coordinates:\n",
      "INFO (CartGrid3D): x=>[0,120]  y=>[0,120]  z=>[0,0]\n",
      "INFO (CarpetReduce): Simulation domain volume:  0\n",
      "INFO (CarpetReduce): Additional excised volume: 0\n",
      "INFO (CarpetReduce): Reduction weight sum:      14400\n",
      "\u001b[1mWARNING[L1,P0] (CarpetReduce):\u001b[0m Simulation domain volume and reduction weight sum differ\n",
      "\u001b[1mWARNING[L1,P0] (CarpetReduce):\u001b[0m Simulation domain volume and reduction weight sum differ\n",
      "INFO (Time): Timestep set to 0.05 (courant_static)\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "        0     0.000 |    0.0000000    1.0000000 |    0.0000000    0.0000000\n",
      "        1     0.050 |    0.0000000    0.9951530 |   -0.1932704    0.0261774\n",
      "        2     0.100 |    0.0000000    0.9807184 |   -0.3829107    0.0519225\n",
      "        3     0.150 |    0.0000000    0.9569665 |   -0.5653984    0.0768064\n",
      "        4     0.200 |    0.0000000    0.9243393 |   -0.7374054    0.1004071\n",
      "        5     0.250 |    0.0000000    0.8834385 |   -0.8958865    0.1223126\n",
      "        6     0.300 |    0.0000000    0.8350094 |   -1.0381580    0.1421259\n",
      "        7     0.350 |    0.0000000    0.7799208 |   -1.1619635    0.1594687\n",
      "        8     0.400 |    0.0000000    0.7191427 |   -1.2655253    0.1739876\n",
      "        9     0.450 |    0.0000000    0.6537211 |   -1.3475794    0.1853590\n",
      "       10     0.500 |    0.0000000    0.5847520 |   -1.4073945    0.1939952\n",
      "       11     0.550 |    0.0000000    0.5133544 |   -1.4447725    0.2005215\n",
      "       12     0.600 |    0.0000000    0.4406443 |   -1.4600341    0.2050435\n",
      "       13     0.650 |    0.0000000    0.3797052 |   -1.4539871    0.2071623\n",
      "       14     0.700 |    0.0000000    0.3410583 |   -1.4278829    0.2098381\n",
      "       15     0.750 |    0.0000000    0.3146479 |   -1.3833600    0.2094582\n",
      "       16     0.800 |    0.0000000    0.2968527 |   -1.3223794    0.2103486\n",
      "       17     0.850 |    0.0000000    0.2832983 |   -1.2471527    0.2091394\n",
      "       18     0.900 |    0.0000000    0.2729966 |   -1.1600674    0.2066483\n",
      "       19     0.950 |   -0.0225975    0.2650230 |   -1.0636116    0.2043535\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       20     1.000 |   -0.0732134    0.2587740 |   -0.9602997    0.2041240\n",
      "       21     1.050 |   -0.1185441    0.2533657 |   -0.8526038    0.2015518\n",
      "       22     1.100 |   -0.1584302    0.2489947 |   -0.7441526    0.1985052\n",
      "       23     1.150 |   -0.1928269    0.2446893 |   -0.6606995    0.1973815\n",
      "       24     1.200 |   -0.2217948    0.2401314 |   -0.6002377    0.1959175\n",
      "       25     1.250 |   -0.2454883    0.2368250 |   -0.5596725    0.1926125\n",
      "       26     1.300 |   -0.2641437    0.2343817 |   -0.5279116    0.1894770\n",
      "       27     1.350 |   -0.2780649    0.2302987 |   -0.5045261    0.1895919\n",
      "       28     1.400 |   -0.2876094    0.2270804 |   -0.4830924    0.1874396\n",
      "       29     1.450 |   -0.2931747    0.2255190 |   -0.4695507    0.1843454\n",
      "       30     1.500 |   -0.2951842    0.2222983 |   -0.4586815    0.1835850\n",
      "       31     1.550 |   -0.2940747    0.2184225 |   -0.4464528    0.1825579\n",
      "       32     1.600 |   -0.2902847    0.2168783 |   -0.4346252    0.1796316\n",
      "       33     1.650 |   -0.2842443    0.2149710 |   -0.4300273    0.1767935\n",
      "       34     1.700 |   -0.2763660    0.2117098 |   -0.4204154    0.1771640\n",
      "       35     1.750 |   -0.2670381    0.2092843 |   -0.4114913    0.1986366\n",
      "       36     1.800 |   -0.2566189    0.2081503 |   -0.4086627    0.2171036\n",
      "       37     1.850 |   -0.2454328    0.2054778 |   -0.4014235    0.2294391\n",
      "       38     1.900 |   -0.2337679    0.2021617 |   -0.3926842    0.2363856\n",
      "       39     1.950 |   -0.2218747    0.2012299 |   -0.3877370    0.2386950\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       40     2.000 |   -0.2113639    0.1996998 |   -0.3845668    0.2371067\n",
      "       41     2.050 |   -0.2021501    0.1969922 |   -0.3767959    0.2323288\n",
      "       42     2.100 |   -0.1943005    0.1949926 |   -0.3707725    0.2250242\n",
      "       43     2.150 |   -0.1871954    0.1941830 |   -0.3695076    0.2157991\n",
      "       44     2.200 |   -0.1811315    0.1919436 |   -0.3637509    0.2051961\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       45     2.250 |   -0.1753969    0.1892964 |   -0.3563209    0.1936904\n",
      "       46     2.300 |   -0.1704707    0.1884530 |   -0.3536325    0.1816882\n",
      "       47     2.350 |   -0.1657751    0.1872293 |   -0.3513250    0.1702944\n",
      "       48     2.400 |   -0.1613091    0.1849283 |   -0.3447781    0.1606899\n",
      "       49     2.450 |   -0.1579006    0.1831797 |   -0.3401713    0.1566642\n",
      "       50     2.500 |   -0.1540334    0.1826335 |   -0.3396896    0.1543173\n",
      "       51     2.550 |   -0.1501820    0.1807414 |   -0.3350467    0.1536697\n",
      "       52     2.600 |   -0.1476378    0.1785308 |   -0.3286432    0.1535596\n",
      "       53     2.650 |   -0.1444369    0.1777614 |   -0.3270033    0.1516594\n",
      "       54     2.700 |   -0.1415830    0.1767957 |   -0.3254103    0.1494606\n",
      "       55     2.750 |   -0.1392927    0.1748061 |   -0.3199680    0.1498607\n",
      "       56     2.800 |   -0.1366551    0.1731982 |   -0.3158561    0.1491010\n",
      "       57     2.850 |   -0.1338915    0.1728732 |   -0.3160229    0.1469808\n",
      "       58     2.900 |   -0.1319841    0.1712680 |   -0.3122932    0.1462140\n",
      "       59     2.950 |   -0.1299540    0.1693620 |   -0.3067014    0.1463204\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       60     3.000 |   -0.1277872    0.1686381 |   -0.3054747    0.1446932\n",
      "       61     3.050 |   -0.1258244    0.1678953 |   -0.3045029    0.1426568\n",
      "       62     3.100 |   -0.1241662    0.1661555 |   -0.3001172    0.1429512\n",
      "       63     3.150 |   -0.1222196    0.1646131 |   -0.2959284    0.1424280\n",
      "       64     3.200 |   -0.1204068    0.1644785 |   -0.2966564    0.1405191\n",
      "       65     3.250 |   -0.1190312    0.1631167 |   -0.2937057    0.1396041\n",
      "       66     3.300 |   -0.1172856    0.1614377 |   -0.2890593    0.1398985\n",
      "       67     3.350 |   -0.1158271    0.1607284 |   -0.2875939    0.1385170\n",
      "       68     3.400 |   -0.1144457    0.1601813 |   -0.2871769    0.1366312\n",
      "       69     3.450 |   -0.1131078    0.1586507 |   -0.2835663    0.1367921\n",
      "       70     3.500 |   -0.1114547    0.1571208 |   -0.2792968    0.1364778\n",
      "       71     3.550 |   -0.1104274    0.1571529 |   -0.2804197    0.1347661\n",
      "       72     3.600 |   -0.1092264    0.1560026 |   -0.2781524    0.1336868\n",
      "       73     3.650 |   -0.1079975    0.1545030 |   -0.2743141    0.1341462\n",
      "       74     3.700 |   -0.1067921    0.1537800 |   -0.2724206    0.1329980\n",
      "       75     3.750 |   -0.1056986    0.1534070 |   -0.2725084    0.1312430\n",
      "       76     3.800 |   -0.1046884    0.1520572 |   -0.2695186    0.1312524\n",
      "       77     3.850 |   -0.1036597    0.1506211 |   -0.2656382    0.1311242\n",
      "       78     3.900 |   -0.1026139    0.1506823 |   -0.2665419    0.1295966\n",
      "       79     3.950 |   -0.1015102    0.1497356 |   -0.2648877    0.1283451\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       80     4.000 |   -0.1006822    0.1483688 |   -0.2617404    0.1289504\n",
      "       81     4.050 |   -0.0999488    0.1476080 |   -0.2593416    0.1280353\n",
      "       82     4.100 |   -0.0990555    0.1473917 |   -0.2599024    0.1263844\n",
      "       83     4.150 |   -0.0981583    0.1462021 |   -0.2636345    0.1262309\n",
      "       84     4.200 |   -0.0971843    0.1449071 |   -0.2648978    0.1262696\n",
      "       85     4.250 |   -0.0964927    0.1449081 |   -0.2656530    0.1249143\n",
      "       86     4.300 |   -0.0962947    0.1441467 |   -0.2776704    0.1234882\n",
      "       87     4.350 |   -0.0955599    0.1428917 |   -0.2871732    0.1242232\n",
      "       88     4.400 |   -0.0948164    0.1420736 |   -0.2940659    0.1235173\n",
      "       89     4.450 |   -0.0943783    0.1419994 |   -0.2982997    0.1219712\n",
      "       90     4.500 |   -0.0953873    0.1409547 |   -0.3097894    0.1216487\n",
      "       91     4.550 |   -0.0957169    0.1397743 |   -0.3216778    0.1218375\n",
      "       92     4.600 |   -0.0954632    0.1397096 |   -0.3303753    0.1206436\n",
      "       93     4.650 |   -0.0980474    0.1391161 |   -0.3356926    0.1191873\n",
      "       94     4.700 |   -0.1010832    0.1379612 |   -0.3374927    0.1198951\n",
      "       95     4.750 |   -0.1034975    0.1370703 |   -0.3373716    0.1193779\n",
      "       96     4.800 |   -0.1095302    0.1371258 |   -0.3372897    0.1179364\n",
      "       97     4.850 |   -0.1162584    0.1362138 |   -0.3369214    0.1174424\n",
      "       98     4.900 |   -0.1229498    0.1351311 |   -0.3360150    0.1177670\n",
      "       99     4.950 |   -0.1340118    0.1349935 |   -0.3363588    0.1167246\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      100     5.000 |   -0.1442242    0.1345530 |   -0.3356910    0.1153606\n",
      "      101     5.050 |   -0.1535426    0.1334904 |   -0.3348812    0.1159104\n",
      "      102     5.100 |   -0.1619327    0.1325151 |   -0.3347446    0.1155642\n",
      "      103     5.150 |   -0.1718989    0.1326895 |   -0.3333501    0.1142264\n",
      "      104     5.200 |   -0.1812048    0.1319004 |   -0.3332521    0.1135611\n",
      "      105     5.250 |   -0.1890279    0.1309043 |   -0.3320790    0.1140089\n",
      "      106     5.300 |   -0.1952999    0.1306864 |   -0.3310816    0.1131288\n",
      "      107     5.350 |   -0.1999724    0.1303861 |   -0.3309296    0.1118344\n",
      "      108     5.400 |   -0.2030180    0.1294104 |   -0.3278362    0.1122236\n",
      "      109     5.450 |   -0.2044297    0.1284380 |   -0.3295121    0.1120330\n",
      "      110     5.500 |   -0.2042210    0.1286259 |   -0.3272365    0.1107975\n",
      "      111     5.550 |   -0.2031947    0.1279674 |   -0.3275999    0.1099632\n",
      "      112     5.600 |   -0.2021641    0.1270344 |   -0.3280806    0.1105230\n",
      "      113     5.650 |   -0.2011190    0.1267296 |   -0.3258044    0.1263273\n",
      "      114     5.700 |   -0.1999815    0.1265584 |   -0.3300983    0.1541834\n",
      "      115     5.750 |   -0.1986018    0.1256655 |   -0.3345545    0.1790138\n",
      "      116     5.800 |   -0.1978806    0.1247636 |   -0.3434689    0.2004740\n",
      "      117     5.850 |   -0.1965894    0.1248827 |   -0.3552277    0.2182975\n",
      "      118     5.900 |   -0.1955750    0.1243611 |   -0.3639580    0.2322999\n",
      "      119     5.950 |   -0.1945615    0.1234729 |   -0.3741811    0.2423817\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      120     6.000 |   -0.1934388    0.1230754 |   -0.3864112    0.2485279\n",
      "      121     6.050 |   -0.1933281    0.1230236 |   -0.3949237    0.2511596\n",
      "      122     6.100 |   -0.1937551    0.1222104 |   -0.3994723    0.2558347\n",
      "      123     6.150 |   -0.1947825    0.1213716 |   -0.3998602    0.2575397\n",
      "      124     6.200 |   -0.1959940    0.1214177 |   -0.3959429    0.2572774\n",
      "      125     6.250 |   -0.1995067    0.1210233 |   -0.3876304    0.2570125\n",
      "      126     6.300 |   -0.2043194    0.1201796 |   -0.3779180    0.2566584\n",
      "      127     6.350 |   -0.2110435    0.1196850 |   -0.3705158    0.2562290\n",
      "      128     6.400 |   -0.2232621    0.1197439 |   -0.3591317    0.2553437\n",
      "      129     6.450 |   -0.2345385    0.1190077 |   -0.3418924    0.2550628\n",
      "      130     6.500 |   -0.2447924    0.1182272 |   -0.3188122    0.2547708\n",
      "      131     6.550 |   -0.2539430    0.1181958 |   -0.2976396    0.2532538\n",
      "      132     6.600 |   -0.2619086    0.1179200 |   -0.3000665    0.2536605\n",
      "      133     6.650 |   -0.2686066    0.1171213 |   -0.3009617    0.2515419\n",
      "      134     6.700 |   -0.2740360    0.1165259 |   -0.2984011    0.2523630\n",
      "      135     6.750 |   -0.2793025    0.1166880 |   -0.2940767    0.2500674\n",
      "      136     6.800 |   -0.2822657    0.1160498 |   -0.2974743    0.2509075\n",
      "      137     6.850 |   -0.2828458    0.1153010 |   -0.2974388    0.2490522\n",
      "      138     6.900 |   -0.2809893    0.1151879 |   -0.2939048    0.2490225\n",
      "      139     6.950 |   -0.2776600    0.1150229 |   -0.2913612    0.2481737\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      140     7.000 |   -0.2733109    0.1142698 |   -0.2941046    0.2461486\n",
      "      141     7.050 |   -0.2671468    0.1135713 |   -0.2933815    0.2468970\n",
      "      142     7.100 |   -0.2591444    0.1138295 |   -0.2891293    0.2591533\n",
      "      143     7.150 |   -0.2512274    0.1132974 |   -0.2878261    0.3033292\n",
      "      144     7.200 |   -0.2449706    0.1125680 |   -0.2901365    0.3454618\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      145     7.250 |   -0.2418667    0.1123697 |   -0.2889624    0.3850670\n",
      "      146     7.300 |   -0.2375078    0.1123084 |   -0.2842408    0.4190022\n",
      "      147     7.350 |   -0.2360445    0.1116016 |   -0.2836110    0.4466459\n",
      "      148     7.400 |   -0.2330355    0.1109192 |   -0.2857001    0.4676437\n",
      "      149     7.450 |   -0.2309990    0.1111464 |   -0.2843020    0.4874283\n",
      "      150     7.500 |   -0.2295751    0.1107149 |   -0.2793503    0.5016423\n",
      "      151     7.550 |   -0.2266350    0.1100069 |   -0.2788161    0.5100441\n",
      "      152     7.600 |   -0.2255673    0.1097203 |   -0.2808827    0.5124807\n",
      "      153     7.650 |   -0.2244659    0.1097563 |   -0.2794750    0.5088935\n",
      "      154     7.700 |   -0.2218925    0.1091142 |   -0.2745203    0.4993227\n",
      "      155     7.750 |   -0.2206719    0.1084580 |   -0.2735087    0.4839089\n",
      "      156     7.800 |   -0.2201810    0.1086200 |   -0.2757359    0.4747648\n",
      "      157     7.850 |   -0.2182747    0.1082838 |   -0.2745174    0.4651315\n",
      "      158     7.900 |   -0.2157778    0.1218671 |   -0.2697716    0.4506455\n",
      "      159     7.950 |   -0.2161471    0.1355825 |   -0.2704389    0.4375048\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      160     8.000 |   -0.2151729    0.1469593 |   -0.2707389    0.4275461\n",
      "      161     8.050 |   -0.2127952    0.1573432 |   -0.2694331    0.4134631\n",
      "      162     8.100 |   -0.2117394    0.1706686 |   -0.2650902    0.4023469\n",
      "      163     8.150 |   -0.2119062    0.1817192 |   -0.2672558    0.3911304\n",
      "      164     8.200 |   -0.2107495    0.1904315 |   -0.2683024    0.3822928\n",
      "      165     8.250 |   -0.2082131    0.1967798 |   -0.2663359    0.3732349\n",
      "      166     8.300 |   -0.2077818    0.2007759 |   -0.2613219    0.3689741\n",
      "      167     8.350 |   -0.2080062    0.2024676 |   -0.2633899    0.3626509\n",
      "      168     8.400 |   -0.2069391    0.2056955 |   -0.2652821    0.3589444\n",
      "      169     8.450 |   -0.2045246    0.2105359 |   -0.2641651    0.3566101\n",
      "      170     8.500 |   -0.2038535    0.2133460 |   -0.2599823    0.3504546\n",
      "      171     8.550 |   -0.2043619    0.2141797 |   -0.2588080    0.3495118\n",
      "      172     8.600 |   -0.2036217    0.2131149 |   -0.2616295    0.3485526\n",
      "      173     8.650 |   -0.2015743    0.2102508 |   -0.2614664    0.3437420\n",
      "      174     8.700 |   -0.1998037    0.2103615 |   -0.2582389    0.3407342\n",
      "      175     8.750 |   -0.2007848    0.2109840 |   -0.2534838    0.3422127\n",
      "      176     8.800 |   -0.2005708    0.2101138 |   -0.2573003    0.3398359\n",
      "      177     8.850 |   -0.1990985    0.2078326 |   -0.2602698    0.3336696\n",
      "      178     8.900 |   -0.1963192    0.2042303 |   -0.2641359    0.3348811\n",
      "      179     8.950 |   -0.1970230    0.2001046 |   -0.2639727    0.3358621\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      180     9.000 |   -0.1974945    0.1981771 |   -0.2600770    0.3330390\n",
      "      181     9.050 |   -0.1967672    0.1966553 |   -0.2549834    0.3264753\n",
      "      182     9.100 |   -0.1947848    0.1942000 |   -0.2544050    0.3290350\n",
      "      183     9.150 |   -0.1927992    0.1908767 |   -0.2540263    0.3303499\n",
      "      184     9.200 |   -0.1940732    0.1867478 |   -0.2539904    0.3279142\n",
      "      185     9.250 |   -0.1942202    0.1836524 |   -0.2510879    0.3217747\n",
      "      186     9.300 |   -0.1931754    0.1809056 |   -0.2498213    0.3228510\n",
      "      187     9.350 |   -0.1908869    0.1774929 |   -0.2469965    0.3252097\n",
      "      188     9.400 |   -0.1899933    0.1745123 |   -0.2419184    0.3238784\n",
      "      189     9.450 |   -0.1911005    0.1725710 |   -0.2447718    0.3188760\n",
      "      190     9.500 |   -0.1910929    0.1705489 |   -0.2457208    0.3157331\n",
      "      191     9.550 |   -0.1899086    0.1692294 |   -0.2442245    0.3197334\n",
      "      192     9.600 |   -0.1874981    0.1689701 |   -0.2396798    0.3201220\n",
      "      193     9.650 |   -0.1870842    0.1675812 |   -0.2411856    0.3168801\n",
      "      194     9.700 |   -0.1881690    0.1650817 |   -0.2428215    0.3100585\n",
      "      195     9.750 |   -0.1881595    0.1650069 |   -0.2418075    0.3130636\n",
      "      196     9.800 |   -0.1869947    0.1651912 |   -0.2380876    0.3156897\n",
      "      197     9.850 |   -0.1846256    0.1641810 |   -0.2365392    0.3147493\n",
      "      198     9.900 |   -0.1840915    0.1619999 |   -0.2395734    0.3102452\n",
      "      199     9.950 |   -0.1852810    0.1613494 |   -0.2400029    0.3042786\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      200    10.000 |   -0.1854036    0.1619177 |   -0.2377429    0.3095536\n",
      "      201    10.050 |   -0.1843978    0.1612595 |   -0.2327513    0.3113667\n",
      "      202    10.100 |   -0.1822138    0.1596263 |   -0.2352602    0.3096660\n",
      "      203    10.150 |   -0.1809916    0.1580207 |   -0.2371523    0.3044653\n",
      "      204    10.200 |   -0.1823943    0.1587855 |   -0.2363985    0.3006906\n",
      "      205    10.250 |   -0.1827641    0.1585349 |   -0.2329274    0.3056019\n",
      "      206    10.300 |   -0.1820379    0.1577745 |   -0.2298799    0.3071018\n",
      "      207    10.350 |   -0.1801637    0.1563980 |   -0.2332284    0.3051420\n",
      "      208    10.400 |   -0.1782141    0.1556984 |   -0.2340012    0.2997386\n",
      "      209    10.450 |   -0.1794374    0.1560703 |   -0.2320980    0.2963890\n",
      "      210    10.500 |   -0.1801506    0.1560316 |   -0.2274616    0.3013709\n",
      "      211    10.550 |   -0.1798057    0.1549566 |   -0.2282245    0.3029999\n",
      "      212    10.600 |   -0.1783477    0.1528695 |   -0.2305179    0.3012232\n",
      "      213    10.650 |   -0.1760349    0.1539607 |   -0.2302034    0.2960514\n",
      "      214    10.700 |   -0.1763226    0.1543218 |   -0.2271943    0.2914150\n",
      "      215    10.750 |   -0.1774564    0.1536082 |   -0.2223627    0.2968486\n",
      "      216    10.800 |   -0.1775761    0.1518411 |   -0.2259377    0.2989960\n",
      "      217    10.850 |   -0.1766228    0.1517165 |   -0.2272058    0.2977934\n",
      "      218    10.900 |   -0.1745484    0.1525245 |   -0.2258444    0.2932386\n",
      "      219    10.950 |   -0.1734640    0.1522248 |   -0.2217806    0.2869586\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      220    11.000 |   -0.1745691    0.1508347 |   -0.2214847    0.2918986\n",
      "      221    11.050 |   -0.1752181    0.1492262 |   -0.2235711    0.2949045\n",
      "      222    11.100 |   -0.1748400    0.1505274 |   -0.2233701    0.2946212\n",
      "      223    11.150 |   -0.1733816    0.1506957 |   -0.2210090    0.2910279\n",
      "      224    11.200 |   -0.1715325    0.1497427 |   -0.2164994    0.2841652\n",
      "      225    11.250 |   -0.1713794    0.1476933 |   -0.2201323    0.2863012\n",
      "      226    11.300 |   -0.1726036    0.1482539 |   -0.2214803    0.2904581\n",
      "      227    11.350 |   -0.1728534    0.1489435 |   -0.2204477    0.2913967\n",
      "      228    11.400 |   -0.1720698    0.1484874 |   -0.2169748    0.2890722\n",
      "      229    11.450 |   -0.1702045    0.1469042 |   -0.2154069    0.2835002\n",
      "      230    11.500 |   -0.1692487    0.1456492 |   -0.2183395    0.2803504\n",
      "      231    11.550 |   -0.1696153    0.1469069 |   -0.2189589    0.2853398\n",
      "      232    11.600 |   -0.1705268    0.1470015 |   -0.2171761    0.2877600\n",
      "      233    11.650 |   -0.1704592    0.1459438 |   -0.2129388    0.2869758\n",
      "      234    11.700 |   -0.1693575    0.1446135 |   -0.2139021    0.2829729\n",
      "      235    11.750 |   -0.1672965    0.1445291 |   -0.2161438    0.2777227\n",
      "      236    11.800 |   -0.1669784    0.1452201 |   -0.2160501    0.2792102\n",
      "      237    11.850 |   -0.1677406    0.1447743 |   -0.2135391    0.2833271\n",
      "      238    11.900 |   -0.1684118    0.1441510 |   -0.2085664    0.2843163\n",
      "      239    11.950 |   -0.1681041    0.1425486 |   -0.2120200    0.2821301\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      240    12.000 |   -0.1667655    0.1430834 |   -0.2135851    0.2767790\n",
      "      241    12.050 |   -0.1652843    0.1435650 |   -0.2127986    0.2745078\n",
      "      242    12.100 |   -0.1647741    0.1434397 |   -0.2095861    0.2777123\n",
      "      243    12.150 |   -0.1658104    0.1423001 |   -0.2066312    0.2806651\n",
      "      244    12.200 |   -0.1663090    0.1405418 |   -0.2097971    0.2805080\n",
      "      245    12.250 |   -0.1658329    0.1419844 |   -0.2107039    0.2772130\n",
      "      246    12.300 |   -0.1643324    0.1424111 |   -0.2092491    0.2717486\n",
      "      247    12.350 |   -0.1633040    0.1417943 |   -0.2053659    0.2710662\n",
      "      248    12.400 |   -0.1626684    0.1401532 |   -0.2051643    0.2756082\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      249    12.450 |   -0.1638613    0.1399784 |   -0.2072843    0.2776500\n",
      "      250    12.500 |   -0.1642499    0.1410040 |   -0.2075410    0.2766080\n",
      "--------------------------------------------------------------------------------\n",
      "Done.\n",
      "+ echo Stopping:\n",
      "Stopping:\n",
      "+ date\n",
      "Thu Jul 27 11:24:34 CDT 2017\n",
      "Thu Jul 27 11:24:34 CDT 2017\n",
      "Simfactory Done at date: 0\n"
     ]
    }
   ],
   "source": [
    "!rm -fr ../simulations/wave_toy\n",
    "!./simfactory/bin/sim create-run wave_toy.par --procs=1 --num-threads=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# This cell enables inline plotting in the notebook\n",
    "%matplotlib inline\n",
    "\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "# https://matplotlib.org/examples/color/colormaps_reference.html\n",
    "cmap = cm.prism"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "file_data = np.genfromtxt(\"../simulations/wave_toy/output-0000/wave_toy/psi.xy.asc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sets= [   0.   25.   50.   75.  100.  125.  150.  175.  200.  225.  250.]\n",
      "time= 0.0\n",
      "min/max= 0.0 1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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kNSmCIiLOLM+G7IiI1X0+9skRcXdEPBAR90fEpWX5rIi4KyIeLp8z+1zXtIi4JyLuKPML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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9469a19ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 25.0\n",
      "min/max= -0.245488345688 0.236825049851\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9465540da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 50.0\n",
      "min/max= -0.154033365164 0.182633481829\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94613fcd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 75.0\n",
      "min/max= -0.10569862376 0.153407032713\n"
     ]
    },
    {
     "data": {
      "image/png": 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NPB9F6hmPVakdAkW/x4c0ipntTwoSd7j73bF5h5kdHu8fDuxsUnFOAb5iZs+R\npuz9MqmOYJiZ5Q5yzTxH24Ht7v5YvF5BChytOj+nA9vcfZe7/x64m3TOWnV+st7OR8v+fVeMx5oR\nwWvA5WmHQPErYFzUWg8hVbTc26yDW+qDfhOwyd0XVLx1LzArns8i1V00nLvPc/dRnvrlTyNNEDQD\neBi4oAXleQV40cw+E5tOI3XRb8n5Id1ynGhmB8b/u1yelpyfCr2dj3uBi6L140TgzYpblIapGI/1\nFe85HmuamQ01szH0czxWwyuf+lkRM5lUM/sMcFWTj/0FUpr4a9JcVOuiPCNIFYpPk2bqGt6C8/JF\n4L54/un4H7oVuAsY2sRyHA+siXP0f4BDWnl+gL8HfgM8SZpccGgzzw9pFreXgd+TMq5LezsfpIro\n6+Pf9gZSa00zyrOVVBeR/03/Y8Xnr4rybAbO7s8x1DNTRAq1w62HiLQ5BQoRKaRAISKFFChEpJAC\nhYgUUqAQkUIKFCJSSIFCRAr9f9vXqYIyGw5NAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f946550b518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 100.0\n",
      "min/max= -0.144224202634 0.134552960331\n"
     ]
    },
    {
     "data": {
      "image/png": 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Etacp7vUQkebWTBmFiDSppggUZna8mW0ws41mNif/E3167IPM7Akze97M1pnZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9464b29ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 125.0\n",
      "min/max= -0.199506702817 0.121023330873\n"
     ]
    },
    {
     "data": {
      "image/png": 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XisJG+gK4f/zlIHp8NuxcnnfwyWE5EXYGmXFl2JQflqTpkwUK4ogi9x/UgTa2ltgelX5G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\nCCFSkaEQQqQiQyGESEWGQgiRyn8BjiFiZTw1tccAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9463c03390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 150.0\n",
      "min/max= -0.229575071116 0.110714884067\n"
     ]
    },
    {
     "data": {
      "image/png": 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1pYkv3CRUGYa4Hz3K+05GjN/OuHDM4KBW+FVYRvWwCuIQ+D3v+EhNt1XLUvuA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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94655cc908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 175.0\n",
      "min/max= -0.200784801505 0.210984031467\n"
     ]
    },
    {
     "data": {
      "image/png": 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L5nwvoy4AVqgyiCuMoC56kU3kywmTGeUh/pmgrDq1qNc34aNogahWRahRSlAU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\nf+9thF0uuhvDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f946550bb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 200.0\n",
      "min/max= -0.18540362708 0.161917720306\n"
     ]
    },
    {
     "data": {
      "image/png": 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lNeHRXwDnA8eIyC7ge8BcYIWIXAX8BbhcD1+ND41ux4dHpxxMZ8LTfhAXFS2o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\nlunrgv8vfBHac7PO3+GKgvw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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f945febcf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 225.0\n",
      "min/max= -0.17137942871 0.147693346001\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9462d05160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 250.0\n",
      "min/max= -0.1642498645 0.141003971065\n"
     ]
    },
    {
     "data": {
      "image/png": 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yURf+sx4KiVuRwgjqKxshKU/cqlQX9RKUytIwGa/71LIp5xAlXmkeRD1VyDds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\nGQrDMAoxQ2EYRiFmKAzDKMQMhWEYhfx/q+SfdWwfr4wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9463718d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sets = np.unique(file_data[:,0])\n",
    "width = 8\n",
    "height = 4\n",
    "print(\"sets=\",sets)\n",
    "mn, mx = np.min(file_data[:,12]),np.max(file_data[:,12])\n",
    "#mn, mx = 0,1\n",
    "for which in sets:\n",
    "    g = file_data[file_data[:,0]==which,:]\n",
    "    print(\"time=\",which)\n",
    "    x = g[:,5]\n",
    "    y = g[:,6]\n",
    "    z = g[:,12]\n",
    "    zi = z.reshape(len(np.unique(y)),len(np.unique(x)))\n",
    "    print('min/max=',np.min(zi),np.max(zi))\n",
    "    plt.figure(figsize=(width, height))\n",
    "    plt.imshow(zi[::-1,:],cmap,clim=(mn,mx))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Question</h3>: Does the above simulation work properly if we use 2 procs? Why or why not? Try it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'arrangements/FunwaveUtils/WaveToyET17/schedule.ccl'\n"
     ]
    }
   ],
   "source": [
    "schedule_ccl_contents = \"\"\"\n",
    "## Schedule definitions for thorn {thorn_name}\n",
    "\n",
    "## There won't be any storage allocated for a group\n",
    "## unless a corresponding storage declaration exists\n",
    "## for it in the schedule file. In square brackets,\n",
    "## we specify the number of storage levels to allocate.\n",
    "## These commented examples correspond to the commented\n",
    "## examples in the interface file above.\n",
    "# storage: force_group[3]\n",
    "# storage: scalar_group\n",
    "\n",
    "## Schedule a function defined in this thorn to run at the beginning\n",
    "## of the simulation. The minimum you need to specify for a schedule\n",
    "## item is what language it's written in. Choices are: C (which includes\n",
    "## C++) and Fortran (which means Fortran90).\n",
    "#SCHEDULE init_function at CCTK_INIT\n",
    "#{\n",
    "#  LANG: C\n",
    "#}\"Do some initial stuff\"\n",
    "\n",
    "storage: evol_group[3], rhs_group\n",
    "\n",
    "SCHEDULE init_wave_toy in CCTK_INITIAL\n",
    "{\n",
    "  LANG: C\n",
    "} \"initialize data\"\n",
    "\n",
    "SCHEDULE evolve_wave_toy in MoL_CalcRHS\n",
    "{\n",
    "  LANG: C\n",
    "  SYNC: {thorn_name}::evol_group\n",
    "} \"evolve data\"\n",
    "\n",
    "schedule wave_toy_registervars in MoL_Register\n",
    "{\n",
    "  LANG: C\n",
    "}\"Register funwave variables for MoL\"\n",
    "\n",
    "\"\"\"\n",
    "thorn_dir = \"arrangements/\"+thorn_pars[\"arrangement_name\"]+\"/\"+thorn_pars[\"thorn_name\"]\n",
    "create_file(thorn_dir+\"/schedule.ccl\",schedule_ccl_contents,thorn_pars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using configuration: sim\n",
      "Updated thorn list for configuration sim\n",
      "Building sim\n",
      "Cactus - version: 4.2.3\n",
      "Building configuration sim\n",
      "Reconfiguring thorns\n",
      "Reading ThornList...\n",
      "Parsing configuration files...\n",
      "Parsing interface files...\n",
      "   AEILocalInterp\n",
      "           Implements: AEILocalInterp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Boundary\n",
      "           Implements: boundary\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Cactus\n",
      "           Implements: Cactus\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Carpet\n",
      "           Implements: Driver\n",
      "           0 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetEvolutionMask\n",
      "           Implements: CarpetEvolutionMask\n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetIOASCII\n",
      "           Implements: IOASCII\n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetIOBasic\n",
      "           Implements: IOBasic\n",
      "           Inherits:  IO \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetIOHDF5\n",
      "           Implements: IOHDF5\n",
      "           0 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetIOScalar\n",
      "           Implements: IOScalar\n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   CarpetInterp\n",
      "           Implements: interp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetInterp2\n",
      "           Implements: interp2\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetLib\n",
      "           Implements: CarpetLib\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetMask\n",
      "           Implements: CarpetMask\n",
      "           Inherits:  grid SphericalSurface \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetReduce\n",
      "           Implements: reduce\n",
      "           0 Public, 0 Protected, 4 Private variable groups\n",
      "   CarpetRegrid\n",
      "           Implements: CarpetRegrid\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetRegrid2\n",
      "           Implements: CarpetRegrid2\n",
      "           6 Public, 0 Protected, 6 Private variable groups\n",
      "   CarpetSlab\n",
      "           Implements: Hyperslab\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CarpetTracker\n",
      "           Implements: CarpetTracker\n",
      "           Inherits:  SphericalSurface CarpetRegrid2 \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CartGrid3D\n",
      "           Implements: grid\n",
      "           Inherits:  coordbase \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   CoordBase\n",
      "           Implements: CoordBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   CycleClock\n",
      "           Implements: CycleClock\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Dissipation\n",
      "           Implements: Dissipation\n",
      "           Inherits:  grid SphericalSurface SpaceMask \n",
      "           0 Public, 0 Protected, 1 Private variable groups\n",
      "   Fortran\n",
      "           Implements: Fortran\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Funwave\n",
      "           Implements: funwave\n",
      "           Inherits:  grid tridiagonal funwavecoord \n",
      "           25 Public, 0 Protected, 0 Private variable groups\n",
      "   FunwaveCoord\n",
      "           Implements: FunwaveCoord\n",
      "           Inherits:  grid \n",
      "           1 Public, 0 Protected, 0 Private variable groups\n",
      "   FunwaveMesh\n",
      "           Implements: funwavemesh\n",
      "           Inherits:  funwave FunwaveCoord \n",
      "           0 Public, 0 Protected, 2 Private variable groups\n",
      "   HDF5\n",
      "           Implements: HDF5\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   IOASCII\n",
      "           Implements: IOASCII\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   IOBasic\n",
      "           Implements: IOBasic\n",
      "           Inherits:  IO \n",
      "           0 Public, 0 Protected, 2 Private variable groups\n",
      "   IOUtil\n",
      "           Implements: IO\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   InitBase\n",
      "           Implements: InitBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   InterpToArray\n",
      "           Implements: InterpToArray\n",
      "           7 Public, 0 Protected, 0 Private variable groups\n",
      "   LocalInterp\n",
      "           Implements: LocalInterp\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   LocalReduce\n",
      "           Implements: LocalReduce\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   LoopControl\n",
      "           Implements: LoopControl\n",
      "           Inherits:  CycleClock \n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   MPI\n",
      "           Implements: MPI\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   MoL\n",
      "           Implements: MethodOfLines\n",
      "           0 Public, 0 Protected, 9 Private variable groups\n",
      "   NaNChecker\n",
      "           Implements: NaNChecker\n",
      "           Inherits:  Reduce \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   SpaceMask\n",
      "           Implements: SpaceMask\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   SphericalSurface\n",
      "           Implements: SphericalSurface\n",
      "           Inherits:  grid \n",
      "           9 Public, 0 Protected, 1 Private variable groups\n",
      "   SymBase\n",
      "           Implements: SymBase\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   SystemTopology\n",
      "           Implements: SystemTopology\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   TestCarpetGridInfo\n",
      "           Implements: TestCarpetGridInfo\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   TestLoopControl\n",
      "           Implements: TestLoopControl\n",
      "           Inherits:  grid \n",
      "           0 Public, 0 Protected, 3 Private variable groups\n",
      "   Time\n",
      "           Implements: time\n",
      "           1 Public, 0 Protected, 1 Private variable groups\n",
      "   Timers\n",
      "           Implements: Timers\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   Tridiagonal\n",
      "           Implements: tridiagonal\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 4 Private variable groups\n",
      "   Tridiagonal2\n",
      "           Implements: tridiagonal\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 1 Private variable groups\n",
      "   Vectors\n",
      "           Implements: Vectors\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   WaveToyET17\n",
      "           Implements: WaveToyET17\n",
      "           Inherits:  grid \n",
      "           2 Public, 0 Protected, 0 Private variable groups\n",
      "   hwloc\n",
      "           Implements: hwloc\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "   zlib\n",
      "           Implements: zlib\n",
      "           0 Public, 0 Protected, 0 Private variable groups\n",
      "Parsing parameter files...\n",
      "   AEILocalInterp\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Boundary\n",
      "          0 Global, 8 Restricted, 0 Private parameters\n",
      "   Cactus\n",
      "          0 Global, 6 Restricted, 13 Private parameters\n",
      "   Carpet\n",
      "          0 Global, 4 Restricted, 94 Private parameters\n",
      "   CarpetEvolutionMask\n",
      "          0 Global, 0 Restricted, 6 Private parameters\n",
      "   CarpetIOASCII\n",
      "          0 Global, 0 Restricted, 63 Private parameters\n",
      "   CarpetIOBasic\n",
      "          0 Global, 0 Restricted, 15 Private parameters\n",
      "   CarpetIOHDF5\n",
      "          0 Global, 0 Restricted, 77 Private parameters\n",
      "   CarpetIOScalar\n",
      "          0 Global, 0 Restricted, 9 Private parameters\n",
      "   CarpetInterp\n",
      "          0 Global, 0 Restricted, 5 Private parameters\n",
      "   CarpetInterp2\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CarpetLib\n",
      "          0 Global, 5 Restricted, 31 Private parameters\n",
      "   CarpetMask\n",
      "          0 Global, 0 Restricted, 8 Private parameters\n",
      "   CarpetReduce\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CarpetRegrid\n",
      "          0 Global, 5 Restricted, 65 Private parameters\n",
      "   CarpetRegrid2\n",
      "          0 Global, 0 Restricted, 135 Private parameters\n",
      "   CarpetSlab\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   CarpetTracker\n",
      "          0 Global, 0 Restricted, 3 Private parameters\n",
      "   CartGrid3D\n",
      "          0 Global, 23 Restricted, 10 Private parameters\n",
      "   CoordBase\n",
      "          0 Global, 0 Restricted, 44 Private parameters\n",
      "   CycleClock\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Dissipation\n",
      "          0 Global, 18 Restricted, 0 Private parameters\n",
      "   Fortran\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Funwave\n",
      "          0 Global, 105 Restricted, 0 Private parameters\n",
      "   FunwaveCoord\n",
      "          0 Global, 10 Restricted, 0 Private parameters\n",
      "   FunwaveMesh\n",
      "          0 Global, 5 Restricted, 0 Private parameters\n",
      "   HDF5\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   IOASCII\n",
      "          0 Global, 0 Restricted, 35 Private parameters\n",
      "   IOBasic\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          0 Global, 0 Restricted, 13 Private parameters\n",
      "   IOUtil\n",
      "          0 Global, 59 Restricted, 2 Private parameters\n",
      "   InitBase\n",
      "          0 Global, 1 Restricted, 0 Private parameters\n",
      "   InterpToArray\n",
      "          0 Global, 93 Restricted, 0 Private parameters\n",
      "   LocalInterp\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   LocalReduce\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   LoopControl\n",
      "          0 Global, 0 Restricted, 20 Private parameters\n",
      "   MPI\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   MoL\n",
      "          0 Global, 9 Restricted, 26 Private parameters\n",
      "   NaNChecker\n",
      "          0 Global, 0 Restricted, 11 Private parameters\n",
      "   SpaceMask\n",
      "          0 Global, 1 Restricted, 0 Private parameters\n",
      "   SphericalSurface\n",
      "          0 Global, 15 Restricted, 9 Private parameters\n",
      "   SymBase\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   SystemTopology\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   TestCarpetGridInfo\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   TestLoopControl\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   Time\n",
      "          0 Global, 2 Restricted, 5 Private parameters\n",
      "   Timers\n",
      "          0 Global, 0 Restricted, 6 Private parameters\n",
      "   Tridiagonal\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   Tridiagonal2\n",
      "          0 Global, 0 Restricted, 2 Private parameters\n",
      "   Vectors\n",
      "          0 Global, 0 Restricted, 1 Private parameters\n",
      "   WaveToyET17\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   hwloc\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "   zlib\n",
      "          0 Global, 0 Restricted, 0 Private parameters\n",
      "Parsing schedule files...\n",
      "   AEILocalInterp\n",
      "          1 schedule blocks.\n",
      "   Boundary\n",
      "          6 schedule blocks.\n",
      "   Cactus\n",
      "          0 schedule blocks.\n",
      "   Carpet\n",
      "          6 schedule blocks.\n",
      "   CarpetEvolutionMask\n",
      "          7 schedule blocks.\n",
      "   CarpetIOASCII\n",
      "          2 schedule blocks.\n",
      "   CarpetIOBasic\n",
      "          2 schedule blocks.\n",
      "   CarpetIOHDF5\n",
      "          10 schedule blocks.\n",
      "   CarpetIOScalar\n",
      "          2 schedule blocks.\n",
      "   CarpetInterp\n",
      "          1 schedule blocks.\n",
      "   CarpetInterp2\n",
      "          0 schedule blocks.\n",
      "   CarpetLib\n",
      "          4 schedule blocks.\n",
      "   CarpetMask\n",
      "          4 schedule blocks.\n",
      "   CarpetReduce\n",
      "          15 schedule blocks.\n",
      "   CarpetRegrid\n",
      "          1 schedule blocks.\n",
      "   CarpetRegrid2\n",
      "          2 schedule blocks.\n",
      "   CarpetSlab\n",
      "          0 schedule blocks.\n",
      "   CarpetTracker\n",
      "          1 schedule blocks.\n",
      "   CartGrid3D\n",
      "          11 schedule blocks.\n",
      "   CoordBase\n",
      "          1 schedule blocks.\n",
      "   CycleClock\n",
      "          1 schedule blocks.\n",
      "   Dissipation\n",
      "          6 schedule blocks.\n",
      "   Fortran\n",
      "          1 schedule blocks.\n",
      "   Funwave\n",
      "          64 schedule blocks.\n",
      "   FunwaveCoord\n",
      "          3 schedule blocks.\n",
      "   FunwaveMesh\n",
      "          1 schedule blocks.\n",
      "   HDF5\n",
      "          0 schedule blocks.\n",
      "   IOASCII\n",
      "          3 schedule blocks.\n",
      "   IOBasic\n",
      "          2 schedule blocks.\n",
      "   IOUtil\n",
      "          4 schedule blocks.\n",
      "   InitBase\n",
      "          0 schedule blocks.\n",
      "   InterpToArray\n",
      "          1 schedule blocks.\n",
      "   LocalInterp\n",
      "          1 schedule blocks.\n",
      "   LocalReduce\n",
      "          1 schedule blocks.\n",
      "   LoopControl\n",
      "          4 schedule blocks.\n",
      "   MPI\n",
      "          0 schedule blocks.\n",
      "   MoL\n",
      "          66 schedule blocks.\n",
      "   NaNChecker\n",
      "          10 schedule blocks.\n",
      "   SpaceMask\n",
      "          9 schedule blocks.\n",
      "   SphericalSurface\n",
      "          7 schedule blocks.\n",
      "   SymBase\n",
      "          5 schedule blocks.\n",
      "   SystemTopology\n",
      "          1 schedule blocks.\n",
      "   TestCarpetGridInfo\n",
      "          1 schedule blocks.\n",
      "   TestLoopControl\n",
      "          3 schedule blocks.\n",
      "   Time\n",
      "          7 schedule blocks.\n",
      "   Timers\n",
      "          2 schedule blocks.\n",
      "   Tridiagonal\n",
      "          16 schedule blocks.\n",
      "   Tridiagonal2\n",
      "          17 schedule blocks.\n",
      "   Vectors\n",
      "          2 schedule blocks.\n",
      "   WaveToyET17\n",
      "          3 schedule blocks.\n",
      "   hwloc\n",
      "          0 schedule blocks.\n",
      "   zlib\n",
      "          0 schedule blocks.\n",
      "Running any thorn-provided configuration scripts...\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn FORTRAN:\n",
      "Found a traditional Fortran cpp\n",
      "Finished running configuration script for thorn FORTRAN.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn VECTORS:\n",
      "Finished running configuration script for thorn VECTORS.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn ZLIB:\n",
      "zlib selected, but ZLIB_DIR not set. Checking some places...\n",
      "Found zlib in /usr\n",
      "Finished running configuration script for thorn ZLIB.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn HWLOC:\n",
      "hwloc selected, but HWLOC_DIR not set. Checking some places...\n",
      "Found hwloc in /usr\n",
      "Finished running configuration script for thorn HWLOC.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn MPI:\n",
      "Found MPI compiler wrapper at /usr/lib64/mpich/bin/mpic++!\n",
      "Successfully configured MPI.\n",
      "Finished running configuration script for thorn MPI.\n",
      "\n",
      "********************************************************************************\n",
      "Running configuration script for thorn HDF5:\n",
      "Additional requested language support:  Fortran\n",
      "HDF5 selected, and /usr selected.\n",
      "HDF5 found.\n",
      "Finished running configuration script for thorn HDF5.\n",
      "Checking consistency...\n",
      "Creating Thorn-Flesh bindings...\n",
      "   Creating implementation bindings...\n",
      "   Creating parameter bindings...\n",
      "   Creating variable bindings...\n",
      "   Creating schedule bindings...\n",
      "   Creating function bindings...\n",
      "CST finished.\n",
      "Checking status of thorn AEILocalInterp\n",
      "Checking status of thorn Boundary\n",
      "Checking status of thorn CycleClock\n",
      "Checking status of thorn Vectors\n",
      "Checking status of thorn zlib\n",
      "Checking status of thorn IOUtil\n",
      "Checking status of thorn CarpetTracker\n",
      "Checking status of thorn CoordBase\n",
      "Checking status of thorn SphericalSurface\n",
      "Checking status of thorn Fortran\n",
      "Checking status of thorn FunwaveCoord\n",
      "Checking status of thorn FunwaveMesh\n",
      "Checking status of thorn IOASCII\n",
      "Checking status of thorn IOBasic\n",
      "Checking status of thorn InitBase\n",
      "Checking status of thorn InterpToArray\n",
      "Checking status of thorn LocalInterp\n",
      "Checking status of thorn LocalReduce\n",
      "Checking status of thorn MoL\n",
      "Checking status of thorn NaNChecker\n",
      "Checking status of thorn SymBase\n",
      "Checking status of thorn Time\n",
      "Checking status of thorn WaveToyET17\n",
      "Checking status of thorn CactusBindings\n",
      "Checking status of thorn hwloc\n",
      "Checking status of thorn CartGrid3D\n",
      "Checking status of thorn Dissipation\n",
      "COMPILING configs/sim/bindings/Schedule/ScheduleWaveToyET17.c\n",
      "Checking status of thorn SpaceMask\n",
      "Checking status of thorn LoopControl\n",
      "Updating /home/sbrandt/CactusFW2/configs/sim/lib/libthorn_CactusBindings.a\n",
      "Checking status of thorn MPI\n",
      "Checking status of thorn CarpetMask\n",
      "Checking status of thorn SystemTopology\n",
      "Checking status of thorn TestLoopControl\n",
      "Checking status of thorn Tridiagonal\n",
      "Checking status of thorn Tridiagonal2\n",
      "Checking status of thorn Cactus\n",
      "Checking status of thorn CarpetLib\n",
      "Checking status of thorn HDF5\n",
      "Checking status of thorn Funwave\n",
      "Checking status of thorn Timers\n",
      "Checking status of thorn Carpet\n",
      "Checking status of thorn CarpetEvolutionMask\n",
      "Checking status of thorn CarpetIOASCII\n",
      "Checking status of thorn CarpetIOBasic\n",
      "Checking status of thorn CarpetIOHDF5\n",
      "Checking status of thorn CarpetIOScalar\n",
      "Checking status of thorn CarpetInterp\n",
      "Checking status of thorn CarpetInterp2\n",
      "Checking status of thorn CarpetReduce\n",
      "Checking status of thorn CarpetRegrid\n",
      "Checking status of thorn CarpetRegrid2\n",
      "Checking status of thorn CarpetSlab\n",
      "Checking status of thorn TestCarpetGridInfo\n",
      "Creating cactus_sim in /home/sbrandt/CactusFW2/exe from AEIThorns/AEILocalInterp CactusBase/Boundary Carpet/Carpet Carpet/CarpetEvolutionMask Carpet/CarpetIOASCII Carpet/CarpetIOBasic Carpet/CarpetIOHDF5 Carpet/CarpetIOScalar Carpet/CarpetInterp Carpet/CarpetInterp2 Carpet/CarpetLib Carpet/CarpetMask Carpet/CarpetReduce Carpet/CarpetRegrid Carpet/CarpetRegrid2 Carpet/CarpetSlab Carpet/CarpetTracker CactusBase/CartGrid3D CactusBase/CoordBase Carpet/CycleClock CactusNumerical/Dissipation CactusBase/Fortran CactusCoastal/Funwave CactusCoastal/FunwaveCoord CactusCoastal/FunwaveMesh ExternalLibraries/HDF5 CactusBase/IOASCII CactusBase/IOBasic CactusBase/IOUtil CactusBase/InitBase CactusNumerical/InterpToArray CactusNumerical/LocalInterp CactusNumerical/LocalReduce Carpet/LoopControl ExternalLibraries/MPI CactusNumerical/MoL CactusUtils/NaNChecker CactusNumerical/SpaceMask CactusNumerical/SphericalSurface CactusBase/SymBase CactusUtils/SystemTopology Carpet/TestCarpetGridInfo Carpet/TestLoopControl CactusBase/Time Carpet/Timers CactusCoastal/Tridiagonal CactusCoastal/Tridiagonal2 CactusUtils/Vectors FunwaveUtils/WaveToyET17 ExternalLibraries/hwloc ExternalLibraries/zlib\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done creating cactus_sim.\n",
      "All done !\n",
      "Building utilities for sim\n",
      "Building utilities for sim\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOASCII/src/util/carpet2xgraph.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5toascii_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5tobinary_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5_slicer.cc\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/Carpet/CarpetIOHDF5/src/util/hdf5_recombiner.cc\n",
      "Copying gif2h5 from /usr/bin/gif2h5 to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h52gif from /usr/bin/h52gif to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5copy from /usr/bin/h5copy to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5debug from /usr/bin/h5debug to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5diff from /usr/bin/h5diff to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5dump from /usr/bin/h5dump to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5import from /usr/bin/h5import to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5jam from /usr/bin/h5jam to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5ls from /usr/bin/h5ls to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5mkgrp from /usr/bin/h5mkgrp to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5perf_serial from /usr/bin/h5perf_serial to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5redeploy from /usr/bin/h5redeploy to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5repack from /usr/bin/h5repack to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5repart from /usr/bin/h5repart to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5stat from /usr/bin/h5stat to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying h5unjam from /usr/bin/h5unjam to /home/sbrandt/CactusFW2/exe/sim\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_merge.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_extract.c\n",
      "Compiling /home/sbrandt/CactusFW2/arrangements/ExternalLibraries/HDF5/src/util/hdf5_double_to_single.c\n",
      "Copying mpirun from /usr/lib64/mpich/bin/mpirun to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-info from /usr/bin/hwloc-info to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-ps from /usr/bin/hwloc-ps to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-bind from /usr/bin/hwloc-bind to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-ls from /usr/bin/hwloc-ls to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying lstopo-no-graphics from /usr/bin/lstopo-no-graphics to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-assembler-remote from /usr/bin/hwloc-assembler-remote to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-calc from /usr/bin/hwloc-calc to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-assembler from /usr/bin/hwloc-assembler to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-distances from /usr/bin/hwloc-distances to /home/sbrandt/CactusFW2/exe/sim\n",
      "Copying hwloc-distrib from /usr/bin/hwloc-distrib to /home/sbrandt/CactusFW2/exe/sim\n",
      "Creating carpet2xgraph in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOASCII/carpet2xgraph.o\n",
      "Creating hdf5toascii_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5toascii_slicer.o\n",
      "Creating hdf5tobinary_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5tobinary_slicer.o\n",
      "Creating hdf5_slicer in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5_slicer.o\n",
      "Creating hdf5_recombiner in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/CarpetIOHDF5/hdf5_recombiner.o\n",
      "Creating hdf5_merge in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_merge.o\n",
      "Creating hdf5_extract in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_extract.o\n",
      "Creating hdf5_double_to_single in /home/sbrandt/CactusFW2/exe/sim from /home/sbrandt/CactusFW2/configs/sim/build/HDF5/hdf5_double_to_single.o\n",
      "Done.\n",
      "\n",
      "real\t0m11.153s\n",
      "user\t0m12.963s\n",
      "sys\t0m3.396s\n"
     ]
    }
   ],
   "source": [
    "!time ./simfactory/bin/sim build -j 2 --thornlist=./my_thorns.th"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameter file: /home/sbrandt/CactusFW2/wave_toy.par\n",
      "Skeleton Created\n",
      "Job directory: \"/home/sbrandt/simulations/wave_toy\"\n",
      "Executable: \"/home/sbrandt/CactusFW2/exe/cactus_sim\"\n",
      "Option list: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/cfg/OptionList\"\n",
      "Submit script: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/run/SubmitScript\"\n",
      "Run script: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/run/RunScript\"\n",
      "Parameter file: \"/home/sbrandt/simulations/wave_toy/SIMFACTORY/par/wave_toy.par\"\n",
      "Simulation name: wave_toy\n",
      "Assigned restart id: 0 \n",
      "Running simulation wave_toy\n",
      "Preparing:\n",
      "+ set -e\n",
      "+ echo Checking:\n",
      "Checking:\n",
      "+ pwd\n",
      "/home/sbrandt/simulations/wave_toy/output-0000\n",
      "+ hostname\n",
      "melete05.cct.lsu.edu\n",
      "+ date\n",
      "Thu Jul 27 11:24:49 CDT 2017\n",
      "+ echo Environment:\n",
      "Environment:\n",
      "+ export CACTUS_NUM_PROCS=2\n",
      "+ CACTUS_NUM_PROCS=2\n",
      "+ export CACTUS_NUM_THREADS=1\n",
      "+ CACTUS_NUM_THREADS=1\n",
      "+ export GMON_OUT_PREFIX=gmon.out\n",
      "+ GMON_OUT_PREFIX=gmon.out\n",
      "+ export OMP_NUM_THREADS=1\n",
      "+ OMP_NUM_THREADS=1\n",
      "+ echo Starting:\n",
      "Starting:\n",
      "++ date +%s\n",
      "+ export CACTUS_STARTTIME=1501172689\n",
      "+ CACTUS_STARTTIME=1501172689\n",
      "+ '[' 0 -eq 0 ']'\n",
      "+ '[' 2 = 1 ']'\n",
      "+ /usr/lib64/mpich/bin/mpirun -np 2 /home/sbrandt/simulations/wave_toy/SIMFACTORY/exe/cactus_sim -L 3 /home/sbrandt/simulations/wave_toy/output-0000/wave_toy.par\n",
      "INFO (Cactus): INFO (Cactus): Increasing logging level from 0 to 3\n",
      "Increasing logging level from 0 to 3\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "       10                                  \n",
      "  1   0101       ************************  \n",
      "  01  1010 10      The Cactus Code V4.2.3    \n",
      " 1010 1101 011      www.cactuscode.org     \n",
      "  1001 100101    ************************  \n",
      "    00010101                               \n",
      "     100011     (c) Copyright The Authors  \n",
      "      0100      GNU Licensed. No Warranty  \n",
      "      0101                                 \n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Cactus version:    4.2.3\n",
      "Compile date:      Jul 27 2017 (11:24:43)\n",
      "Run date:          Jul 27 2017 (11:24:50-0500)\n",
      "Run host:          melete05.cct.lsu.edu (pid=92477)\n",
      "Working directory: /home/sbrandt/simulations/wave_toy/output-0000\n",
      "Executable:        /home/sbrandt/simulations/wave_toy/SIMFACTORY/exe/cactus_sim\n",
      "Parameter file:    /home/sbrandt/simulations/wave_toy/output-0000/wave_toy.par\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Activating thorn Cactus...Success -> active implementation Cactus\n",
      "Activation requested for \n",
      "--->WaveToyET17 coordbase carpet cartgrid3d MoL CarpetIOBasic IOUtil CarpetReduce SymBase CarpetIOASCII Time <---\n",
      "Thorn carpet requests automatic activation of CarpetLib\n",
      "Thorn carpet requests automatic activation of MPI\n",
      "Thorn carpet requests automatic activation of Timers\n",
      "Thorn carpet requests automatic activation of LoopControl\n",
      "Thorn CarpetLib requests automatic activation of Vectors\n",
      "Thorn CarpetLib requests automatic activation of CycleClock\n",
      "Thorn LoopControl requests automatic activation of hwloc\n",
      "Thorn hwloc requests automatic activation of zlib\n",
      "Activating thorn carpet...Success -> active implementation Driver\n",
      "Activating thorn CarpetIOASCII...Success -> active implementation IOASCII\n",
      "Activating thorn CarpetIOBasic...Success -> active implementation IOBasic\n",
      "Activating thorn CarpetLib...Success -> active implementation CarpetLib\n",
      "Activating thorn CarpetReduce...Success -> active implementation reduce\n",
      "Activating thorn cartgrid3d...Success -> active implementation grid\n",
      "Activating thorn coordbase...Success -> active implementation CoordBase\n",
      "Activating thorn CycleClock...Success -> active implementation CycleClock\n",
      "Activating thorn hwloc...Success -> active implementation hwloc\n",
      "Activating thorn IOUtil...Success -> active implementation IO\n",
      "Activating thorn LoopControl...Success -> active implementation LoopControl\n",
      "Activating thorn MoL...Success -> active implementation MethodOfLines\n",
      "Activating thorn MPI...Success -> active implementation MPI\n",
      "Activating thorn SymBase...Success -> active implementation SymBase\n",
      "Activating thorn Time...Success -> active implementation time\n",
      "Activating thorn Timers...Success -> active implementation Timers\n",
      "Activating thorn Vectors...Success -> active implementation Vectors\n",
      "Activating thorn WaveToyET17...Success -> active implementation WaveToyET17\n",
      "Activating thorn zlib...Success -> active implementation zlib\n",
      "--------------------------------------------------------------------------------\n",
      "  if (recover initial data)\n",
      "    Recover parameters\n",
      "  endif\n",
      "\n",
      "  Startup routines\n",
      "    [CCTK_STARTUP]\n",
      "      Carpet::MultiModel_Startup: Multi-model Startup routine\n",
      "      CycleClock::CycleClock_Setup: Set up CycleClock\n",
      "      LoopControl::lc_setup: Set up LoopControl\n",
      "      Timers::Timer_Startup: Prepare hierarchical timers\n",
      "      CarpetReduce::CarpetReduceStartup: Startup routine\n",
      "      CartGrid3D::SymmetryStartup: Register GH Extension for GridSymmetry\n",
      "      CoordBase::CoordBase_Startup: Register a GH extension to store the coordinate system handles\n",
      "      Carpet::Driver_Startup: Startup routine\n",
      "      IOUtil::IOUtil_Startup: Startup routine\n",
      "      CarpetIOBasic::CarpetIOBasicStartup: [global] Startup routine\n",
      "      MoL::MoL_Startup: Startup banner\n",
      "      SymBase::SymBase_Startup: Register GH Extension for SymBase\n",
      "      CarpetIOASCII::CarpetIOASCIIStartup: [global] Startup routine\n",
      "      Vectors::Vectors_Startup: Print startup message\n",
      "\n",
      "  Startup routines which need an existing grid hierarchy\n",
      "    [CCTK_WRAGH]\n",
      "      CartGrid3D::RegisterCartGrid3DCoords: [meta] Register coordinates for the Cartesian grid\n",
      "      MoL::MoL_SetupIndexArrays: Set up the MoL bookkeeping index arrays\n",
      "      MoL::MoL_SetScheduleStatus: [global] Set the flag so it is ok to register with MoL\n",
      "      GROUP MoL_Register: The group where physics thorns register variables with MoL\n",
      "        WaveToyET17::wave_toy_registervars: Register funwave variables for MoL\n",
      "      MoL::MoL_ReportNumberVariables: [meta] Report how many of each type of variable there are\n",
      "      GROUP SymBase_Wrapper: Wrapper group for SymBase\n",
      "        GROUP SymmetryRegister: Register your symmetries here\n",
      "          CartGrid3D::RegisterSymmetryBoundaries: [meta] Register symmetry boundaries\n",
      "        SymBase::SymBase_Statistics: Print symmetry boundary face descriptions\n",
      "  Parameter checking routines\n",
      "    [CCTK_PARAMCHECK]\n",
      "      Carpet::CarpetParamCheck: Parameter checking routine\n",
      "      CarpetLib::CarpetLib_test_prolongate_3d_rf2: [global] Test prolongation operators\n",
      "      CartGrid3D::ParamCheck_CartGrid3D: Check coordinates for CartGrid3D\n",
      "      MoL::MoL_ParamCheck: Basic parameter checking\n",
      "      Vectors::Vectors_Test: Run correctness tests.\n",
      "\n",
      "  Initialisation\n",
      "    if (NOT (recover initial data AND recovery_mode is 'strict'))\n",
      "      [CCTK_PREREGRIDINITIAL]\n",
      "      Set up grid hierarchy\n",
      "      [CCTK_POSTREGRIDINITIAL]\n",
      "        CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_INITIAL]\n",
      "        CarpetIOASCII::CarpetIOASCIIInit: [global] Initialisation routine\n",
      "        CarpetIOBasic::CarpetIOBasicInit: [global] Initialisation routine\n",
      "        MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "        WaveToyET17::init_wave_toy: initialize data\n",
      "      [CCTK_POSTINITIAL]\n",
      "        GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after the initial data have been set up\n",
      "        GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "      Initialise finer grids recursively\n",
      "      Restrict from finer grids\n",
      "      [CCTK_POSTRESTRICTINITIAL]\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_POSTPOSTINITIAL]\n",
      "      [CCTK_POSTSTEP]\n",
      "    endif\n",
      "    if (recover initial data)\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_RECOVER_VARIABLES]\n",
      "      [CCTK_POST_RECOVER_VARIABLES]\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after recovery\n",
      "    endif\n",
      "    if (checkpoint initial data)\n",
      "      [CCTK_CPINITIAL]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "        CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "        CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "        LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "  endif\n",
      "  Output grid variables\n",
      "\n",
      "  do loop over timesteps\n",
      "    [CCTK_PREREGRID]\n",
      "    Change grid hierarchy\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    Rotate timelevels\n",
      "    iteration = iteration+1\n",
      "    t = t+dt\n",
      "    [CCTK_PRESTEP]\n",
      "      LoopControl::lc_steer: [meta] Update LoopControl algorithm preferences\n",
      "    [CCTK_EVOL]\n",
      "      MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "      while (MoL::MoL_Stepsize_Bad)\n",
      "        GROUP MoL_Evolution: A single Cactus evolution step using MoL\n",
      "          GROUP MoL_StartStep: MoL internal setup for the evolution step\n",
      "            MoL::MoL_SetCounter: [level] Set the counter for the ODE method to loop over\n",
      "            MoL::MoL_SetTime: [level] Ensure the correct time and timestep are used\n",
      "            MoL::MoL_AllocateScratchSpace: [level] Allocate storage for scratch levels\n",
      "          GROUP MoL_PreStep: Physics thorns can schedule preloop setup routines in here\n",
      "          MoL::MoL_AllocateScratch: Allocate sufficient space for array scratch variables\n",
      "          MoL::MoL_InitialCopy: Ensure the data is in the correct timelevel\n",
      "          while (MoL::MoL_Intermediate_Step)\n",
      "            GROUP MoL_Step: The loop over the intermediate steps for the ODE integrator\n",
      "              MoL::MoL_InitRHS: Initialise the RHS functions\n",
      "              GROUP MoL_CalcRHS: Physics thorns schedule the calculation of the discrete spatial operator in here\n",
      "                WaveToyET17::evolve_wave_toy: evolve data\n",
      "              GROUP MoL_PostRHS: Modify RHS functions\n",
      "              GROUP MoL_RHSBoundaries: Any 'final' modifications to the RHS functions (boundaries etc.)\n",
      "              MoL::MoL_Add: Updates calculated with the efficient Runge-Kutta 3 method\n",
      "              MoL::MoL_DecrementCounter: [level] Alter the counter number\n",
      "              MoL::MoL_ResetTime: [level] If necessary, change the time\n",
      "              GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "              GROUP MoL_PostStep: The group for physics thorns to schedule boundary calls etc.\n",
      "              MoL::MoL_ResetDeltaTime: [level] If necessary, change the timestep\n",
      "          end while\n",
      "          MoL::MoL_FinishLoop: [level] Control the step size\n",
      "          MoL::MoL_RestoreSandR: Restoring the Save and Restore variables to the original state\n",
      "          MoL::MoL_FreeScratchSpace: [level] Free storage for scratch levels\n",
      "      end while\n",
      "      GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "    Evolve finer grids recursively\n",
      "    Restrict from finer grids\n",
      "    [CCTK_POSTRESTRICT]\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    [CCTK_POSTSTEP]\n",
      "    if (checkpoint)\n",
      "      [CCTK_CHECKPOINT]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "      CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "      CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "      LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "    endif\n",
      "    Output grid variables\n",
      "    enddo\n",
      "\n",
      "  Termination routines\n",
      "    [CCTK_TERMINATE]\n",
      "      LoopControl::lc_statistics_terminate: [meta] Output LoopControl statistics\n",
      "      MoL::MoL_FreeIndexArrays: Free the MoL bookkeeping index arrays\n",
      "\n",
      "  Shutdown routines\n",
      "    [CCTK_SHUTDOWN]\n",
      "      Timers::Timer_Shutdown: Prepare hierarchical timers\n",
      "\n",
      "  Routines run after changing the grid hierarchy:\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "--------------------------------------------------------------------------------\n",
      "INFO (Carpet): Multi-Model listing:\n",
      "   model 0: \"world\"\n",
      "INFO (Carpet): Multi-Model process distribution:\n",
      "   processes 0-1: model 0 \"world\"\n",
      "INFO (Carpet): Multi-Model: This is process 0, model 0 \"world\"\n",
      "INFO (CarpetLib): Process startup time was 1.48 seconds\n",
      "Current core file size limit: hard=[unlimited], soft=0 MB\n",
      "Current memory size limit: hard=[unlimited], soft=[unlimited]\n",
      "INFO (CycleClock): Measuring CycleClock tick via gettimeofday...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO (CycleClock): Calibrated CycleClock: 0.454547 ns per clock tick (2.19999 GHz)\n",
      "INFO (Vectors): Using vector size 1 for architecture scalar (no vectorisation, 64-bit precision)\n",
      "--------------------------------------------------------------------------------\n",
      "AMR driver provided by Carpet\n",
      "--------------------------------------------------------------------------------\n",
      "AMR info I/O provided by CarpetIOBasic\n",
      "--------------------------------------------------------------------------------\n",
      "MoL: Generalized time integration.\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 0D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 1D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 2D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 3D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "INFO (Carpet): MPI is enabled\n",
      "INFO (Carpet): Carpet is running on 2 processes\n",
      "INFO (Carpet): This is process 0\n",
      "WARNING[L1,P1] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "INFO (Carpet): OpenMP is disabled\n",
      "WARNING[L1,P0] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.WARNING[L1,P0] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "\n",
      "INFO (Carpet): This process runs on host melete05.cct.lsu.edu, pid=92477\n",
      "INFO (Carpet): This process runs on 80 cores: 0-79\n",
      "INFO (Carpet): Thread 0 runs on 80 cores: 0-79\n",
      "INFO (Carpet): This simulation is running in 3 dimensions\n",
      "INFO (Carpet): Boundary specification for map 0:\n",
      "   nboundaryzones: [[1,1,0],[1,1,0]]\n",
      "   is_internal   : [[0,0,0],[0,0,0]]\n",
      "   is_staggered  : [[0,0,0],[0,0,0]]\n",
      "   shiftout      : [[0,0,1],[0,0,1]]\n",
      "INFO (Carpet): CoordBase domain specification for map 0:\n",
      "   physical extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent: [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   base_spacing   : [0.25,0.25,1]\n",
      "INFO (Carpet): Adapted domain specification for map 0:\n",
      "   convergence factor: 2\n",
      "   convergence level : 0\n",
      "   physical extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent   : [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   spacing           : [0.25,0.25,1]\n",
      "INFO (Carpet): Base grid specification for map 0:\n",
      "   number of grid points             : [121,121,1]\n",
      "   number of coarse grid ghost points: [[1,1,1],[1,1,1]]\n",
      "INFO (Carpet): Buffer zone counts (excluding ghosts):\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Overlap zone counts:\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Group and variable statistics:\n",
      "INFO (Carpet):    There are 215 grid functions in 12 groups\n",
      "INFO (Carpet):    There are 60 grid scalars in 14 groups\n",
      "INFO (Carpet):    There are 11 1-dimensional grid arrays in 4 groups\n",
      "INFO (Carpet):    There are 1 2-dimensional grid arrays in 1 groups\n",
      "INFO (Carpet):    There are 0 3-dimensional grid arrays in 0 groups\n",
      "INFO (Carpet):    (The number of variables counts all time levels)\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_0D' registered: 0D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_1D' registered: 1D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_2D' registered: 2D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): Periodic 2D AMR output requested for:\n",
      "   WAVETOYET17::psi\n",
      "   WAVETOYET17::phi\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_3D' registered: 3D AMR output of grid variables to ASCII files\n",
      "INFO (MoL): Using Runge-Kutta 3 as the time integrator.\n",
      "INFO (MoL): The maximum number of evolved variables is 87. 2 are registered.\n",
      "INFO (MoL): The maximum number of slow evolved variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of evolved array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR array variables is 87. 0 are registered.\n",
      "INFO (MoL): The maximum size of any array variables is 0.\n",
      "INFO (Vectors): Testing vectorisation... [errors may result in segfaults]\n",
      "INFO (Vectors): 93/93 tests passed \n",
      "INFO (CartGrid3D): Grid Spacings:\n",
      "INFO (CartGrid3D): dx=>2.5000000e-01  dy=>2.5000000e-01  dz=>1.0000000e+00\n",
      "INFO (CartGrid3D): Computational Coordinates:\n",
      "INFO (CartGrid3D): x=>[ 0.000,30.000]  y=>[ 0.000,30.000]  z=>[ 0.000, 0.000]\n",
      "INFO (CartGrid3D): Indices of Physical Coordinates:\n",
      "INFO (CartGrid3D): x=>[0,120]  y=>[0,120]  z=>[0,0]\n",
      "INFO (CarpetReduce): Simulation domain volume:  0\n",
      "INFO (CarpetReduce): Additional excised volume: 0\n",
      "INFO (CarpetReduce): Reduction weight sum:      14400\n",
      "WARNING[L1,P0] (CarpetReduce): Simulation domain volume and reduction weight sum differ\n",
      "WARNING[L1,P0] (CarpetReduce): Simulation domain volume and reduction weight sum differ\n",
      "INFO (Time): Timestep set to 0.05 (courant_static)\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "        0     0.000 |    0.0000000    1.0000000 |    0.0000000    0.0000000\n",
      "        1     0.050 |    0.0000000    0.9951530 |   -0.1932704    0.0261774\n",
      "        2     0.100 |    0.0000000    0.9807184 |   -0.3829107    0.0519225\n",
      "        3     0.150 |    0.0000000    0.9569665 |   -0.5653984    0.0768064\n",
      "        4     0.200 |    0.0000000    0.9243393 |   -0.7374054    0.1004071\n",
      "        5     0.250 |    0.0000000    0.8834385 |   -0.8958865    0.1223126\n",
      "        6     0.300 |    0.0000000    0.8350094 |   -1.0381580    0.1421259\n",
      "        7     0.350 |    0.0000000    0.7799208 |   -1.1619635    0.1594687\n",
      "        8     0.400 |    0.0000000    0.7191427 |   -1.2655253    0.1739876\n",
      "        9     0.450 |    0.0000000    0.6537211 |   -1.3475794    0.1853590\n",
      "       10     0.500 |    0.0000000    0.5847520 |   -1.4073945    0.1939952\n",
      "       11     0.550 |    0.0000000    0.5133544 |   -1.4447725    0.2005215\n",
      "       12     0.600 |    0.0000000    0.4406443 |   -1.4600341    0.2050435\n",
      "       13     0.650 |    0.0000000    0.3797052 |   -1.4539871    0.2071623\n",
      "       14     0.700 |    0.0000000    0.3410583 |   -1.4278829    0.2098381\n",
      "       15     0.750 |    0.0000000    0.3146479 |   -1.3833600    0.2094582\n",
      "       16     0.800 |    0.0000000    0.2968527 |   -1.3223794    0.2103486\n",
      "       17     0.850 |    0.0000000    0.2832983 |   -1.2471527    0.2091394\n",
      "       18     0.900 |    0.0000000    0.2729966 |   -1.1600674    0.2066483\n",
      "       19     0.950 |   -0.0225975    0.2650230 |   -1.0636116    0.2043535\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       20     1.000 |   -0.0732134    0.2587740 |   -0.9602997    0.2041240\n",
      "       21     1.050 |   -0.1185441    0.2533657 |   -0.8526038    0.2015518\n",
      "       22     1.100 |   -0.1584302    0.2489947 |   -0.7441526    0.1985052\n",
      "       23     1.150 |   -0.1928269    0.2446893 |   -0.6606995    0.1973815\n",
      "       24     1.200 |   -0.2217948    0.2401314 |   -0.6002377    0.1959175\n",
      "       25     1.250 |   -0.2454883    0.2368250 |   -0.5596725    0.1926125\n",
      "       26     1.300 |   -0.2641437    0.2343817 |   -0.5279116    0.1894770\n",
      "       27     1.350 |   -0.2780649    0.2302987 |   -0.5045261    0.1895919\n",
      "       28     1.400 |   -0.2876094    0.2270804 |   -0.4830924    0.1874396\n",
      "       29     1.450 |   -0.2931747    0.2255190 |   -0.4695507    0.1843454\n",
      "       30     1.500 |   -0.2951842    0.2222983 |   -0.4586815    0.1835850\n",
      "       31     1.550 |   -0.2940747    0.2184225 |   -0.4464528    0.1825579\n",
      "       32     1.600 |   -0.2902847    0.2168783 |   -0.4346252    0.1796316\n",
      "       33     1.650 |   -0.2842443    0.2149710 |   -0.4300273    0.1767935\n",
      "       34     1.700 |   -0.2763660    0.2117098 |   -0.4204154    0.1771640\n",
      "       35     1.750 |   -0.2670381    0.2092843 |   -0.4114913    0.1986366\n",
      "       36     1.800 |   -0.2566189    0.2081503 |   -0.4086627    0.2171036\n",
      "       37     1.850 |   -0.2454328    0.2054778 |   -0.4014235    0.2294391\n",
      "       38     1.900 |   -0.2337679    0.2021617 |   -0.3926842    0.2363856\n",
      "       39     1.950 |   -0.2218747    0.2012299 |   -0.3877370    0.2386950\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       40     2.000 |   -0.2113639    0.1996998 |   -0.3845668    0.2371067\n",
      "       41     2.050 |   -0.2021501    0.1969922 |   -0.3767959    0.2323288\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       42     2.100 |   -0.1943005    0.1949926 |   -0.3707725    0.2250242\n",
      "       43     2.150 |   -0.1871954    0.1941830 |   -0.3695076    0.2157991\n",
      "       44     2.200 |   -0.1811315    0.1919436 |   -0.3637509    0.2051961\n",
      "       45     2.250 |   -0.1753969    0.1892964 |   -0.3563209    0.1936904\n",
      "       46     2.300 |   -0.1704707    0.1884530 |   -0.3536325    0.1816882\n",
      "       47     2.350 |   -0.1657751    0.1872293 |   -0.3513250    0.1702944\n",
      "       48     2.400 |   -0.1613091    0.1849283 |   -0.3447781    0.1606899\n",
      "       49     2.450 |   -0.1579006    0.1831797 |   -0.3401713    0.1566642\n",
      "       50     2.500 |   -0.1540334    0.1826335 |   -0.3396896    0.1543173\n",
      "       51     2.550 |   -0.1501820    0.1807414 |   -0.3350467    0.1536697\n",
      "       52     2.600 |   -0.1476378    0.1785308 |   -0.3286432    0.1535596\n",
      "       53     2.650 |   -0.1444369    0.1777614 |   -0.3270033    0.1516594\n",
      "       54     2.700 |   -0.1415830    0.1767957 |   -0.3254103    0.1494606\n",
      "       55     2.750 |   -0.1392927    0.1748061 |   -0.3199680    0.1498607\n",
      "       56     2.800 |   -0.1366551    0.1731982 |   -0.3158561    0.1491010\n",
      "       57     2.850 |   -0.1338915    0.1728732 |   -0.3160229    0.1469808\n",
      "       58     2.900 |   -0.1319841    0.1712680 |   -0.3122932    0.1462140\n",
      "       59     2.950 |   -0.1299540    0.1693620 |   -0.3067014    0.1463204\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       60     3.000 |   -0.1277872    0.1686381 |   -0.3054747    0.1446932\n",
      "       61     3.050 |   -0.1258244    0.1678953 |   -0.3045029    0.1426568\n",
      "       62     3.100 |   -0.1241662    0.1661555 |   -0.3001172    0.1429512\n",
      "       63     3.150 |   -0.1222196    0.1646131 |   -0.2959284    0.1424280\n",
      "       64     3.200 |   -0.1204068    0.1644785 |   -0.2966564    0.1405191\n",
      "       65     3.250 |   -0.1190312    0.1631167 |   -0.2937057    0.1396041\n",
      "       66     3.300 |   -0.1172856    0.1614377 |   -0.2890593    0.1398985\n",
      "       67     3.350 |   -0.1158271    0.1607284 |   -0.2875939    0.1385170\n",
      "       68     3.400 |   -0.1144457    0.1601813 |   -0.2871769    0.1366312\n",
      "       69     3.450 |   -0.1131078    0.1586507 |   -0.2835663    0.1367921\n",
      "       70     3.500 |   -0.1114547    0.1571208 |   -0.2792968    0.1364778\n",
      "       71     3.550 |   -0.1104274    0.1571529 |   -0.2804197    0.1347661\n",
      "       72     3.600 |   -0.1092264    0.1560026 |   -0.2781524    0.1336868\n",
      "       73     3.650 |   -0.1079975    0.1545030 |   -0.2743141    0.1341462\n",
      "       74     3.700 |   -0.1067921    0.1537800 |   -0.2724206    0.1329980\n",
      "       75     3.750 |   -0.1056986    0.1534070 |   -0.2725084    0.1312430\n",
      "       76     3.800 |   -0.1046884    0.1520572 |   -0.2695186    0.1312524\n",
      "       77     3.850 |   -0.1036597    0.1506211 |   -0.2656382    0.1311242\n",
      "       78     3.900 |   -0.1026139    0.1506823 |   -0.2665419    0.1295966\n",
      "       79     3.950 |   -0.1015102    0.1497356 |   -0.2648877    0.1283451\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       80     4.000 |   -0.1006822    0.1483688 |   -0.2617404    0.1289504\n",
      "       81     4.050 |   -0.0999488    0.1476080 |   -0.2593416    0.1280353\n",
      "       82     4.100 |   -0.0990555    0.1473917 |   -0.2599024    0.1263844\n",
      "       83     4.150 |   -0.0981583    0.1462021 |   -0.2636345    0.1262309\n",
      "       84     4.200 |   -0.0971843    0.1449071 |   -0.2648978    0.1262696\n",
      "       85     4.250 |   -0.0964927    0.1449081 |   -0.2656530    0.1249143\n",
      "       86     4.300 |   -0.0962947    0.1441467 |   -0.2776704    0.1234882\n",
      "       87     4.350 |   -0.0955599    0.1428917 |   -0.2871732    0.1242232\n",
      "       88     4.400 |   -0.0948164    0.1420736 |   -0.2940659    0.1235173\n",
      "       89     4.450 |   -0.0943783    0.1419994 |   -0.2982997    0.1219712\n",
      "       90     4.500 |   -0.0953873    0.1409547 |   -0.3097894    0.1216487\n",
      "       91     4.550 |   -0.0957169    0.1397743 |   -0.3216778    0.1218375\n",
      "       92     4.600 |   -0.0954632    0.1397096 |   -0.3303753    0.1206436\n",
      "       93     4.650 |   -0.0980474    0.1391161 |   -0.3356926    0.1191873\n",
      "       94     4.700 |   -0.1010832    0.1379612 |   -0.3374927    0.1198951\n",
      "       95     4.750 |   -0.1034975    0.1370703 |   -0.3373716    0.1193779\n",
      "       96     4.800 |   -0.1095302    0.1371258 |   -0.3372897    0.1179364\n",
      "       97     4.850 |   -0.1162584    0.1362138 |   -0.3369214    0.1174424\n",
      "       98     4.900 |   -0.1229498    0.1351311 |   -0.3360150    0.1177670\n",
      "       99     4.950 |   -0.1340118    0.1349935 |   -0.3363588    0.1167246\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      100     5.000 |   -0.1442242    0.1345530 |   -0.3356910    0.1153606\n",
      "      101     5.050 |   -0.1535426    0.1334904 |   -0.3348812    0.1159104\n",
      "      102     5.100 |   -0.1619327    0.1325151 |   -0.3347446    0.1155642\n",
      "      103     5.150 |   -0.1718989    0.1326895 |   -0.3333501    0.1142264\n",
      "      104     5.200 |   -0.1812048    0.1319004 |   -0.3332521    0.1135611\n",
      "      105     5.250 |   -0.1890279    0.1309043 |   -0.3320790    0.1140089\n",
      "      106     5.300 |   -0.1952999    0.1306864 |   -0.3310816    0.1131288\n",
      "      107     5.350 |   -0.1999724    0.1303861 |   -0.3309296    0.1118344\n",
      "      108     5.400 |   -0.2030180    0.1294104 |   -0.3278362    0.1122236\n",
      "      109     5.450 |   -0.2044297    0.1284380 |   -0.3295121    0.1120330\n",
      "      110     5.500 |   -0.2042210    0.1286259 |   -0.3272365    0.1107975\n",
      "      111     5.550 |   -0.2031947    0.1279674 |   -0.3275999    0.1099632\n",
      "      112     5.600 |   -0.2021641    0.1270344 |   -0.3280806    0.1105230\n",
      "      113     5.650 |   -0.2011190    0.1267296 |   -0.3258044    0.1263273\n",
      "      114     5.700 |   -0.1999815    0.1265584 |   -0.3300983    0.1541834\n",
      "      115     5.750 |   -0.1986018    0.1256655 |   -0.3345545    0.1790138\n",
      "      116     5.800 |   -0.1978806    0.1247636 |   -0.3434689    0.2004740\n",
      "      117     5.850 |   -0.1965894    0.1248827 |   -0.3552277    0.2182975\n",
      "      118     5.900 |   -0.1955750    0.1243611 |   -0.3639580    0.2322999\n",
      "      119     5.950 |   -0.1945615    0.1234729 |   -0.3741811    0.2423817\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      120     6.000 |   -0.1934388    0.1230754 |   -0.3864112    0.2485279\n",
      "      121     6.050 |   -0.1933281    0.1230236 |   -0.3949237    0.2511596\n",
      "      122     6.100 |   -0.1937551    0.1222104 |   -0.3994723    0.2558347\n",
      "      123     6.150 |   -0.1947825    0.1213716 |   -0.3998602    0.2575397\n",
      "      124     6.200 |   -0.1959940    0.1214177 |   -0.3959429    0.2572774\n",
      "      125     6.250 |   -0.1995067    0.1210233 |   -0.3876304    0.2570125\n",
      "      126     6.300 |   -0.2043194    0.1201796 |   -0.3779180    0.2566584\n",
      "      127     6.350 |   -0.2110435    0.1196850 |   -0.3705158    0.2562290\n",
      "      128     6.400 |   -0.2232621    0.1197439 |   -0.3591317    0.2553437\n",
      "      129     6.450 |   -0.2345385    0.1190077 |   -0.3418924    0.2550628\n",
      "      130     6.500 |   -0.2447924    0.1182272 |   -0.3188122    0.2547708\n",
      "      131     6.550 |   -0.2539430    0.1181958 |   -0.2976396    0.2532538\n",
      "      132     6.600 |   -0.2619086    0.1179200 |   -0.3000665    0.2536605\n",
      "      133     6.650 |   -0.2686066    0.1171213 |   -0.3009617    0.2515419\n",
      "      134     6.700 |   -0.2740360    0.1165259 |   -0.2984011    0.2523630\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      135     6.750 |   -0.2793025    0.1166880 |   -0.2940767    0.2500674\n",
      "      136     6.800 |   -0.2822657    0.1160498 |   -0.2974743    0.2509075\n",
      "      137     6.850 |   -0.2828458    0.1153010 |   -0.2974388    0.2490522\n",
      "      138     6.900 |   -0.2809893    0.1151879 |   -0.2939048    0.2490225\n",
      "      139     6.950 |   -0.2776600    0.1150229 |   -0.2913612    0.2481737\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      140     7.000 |   -0.2733109    0.1142698 |   -0.2941046    0.2461486\n",
      "      141     7.050 |   -0.2671468    0.1135713 |   -0.2933815    0.2468970\n",
      "      142     7.100 |   -0.2591444    0.1138295 |   -0.2891293    0.2591533\n",
      "      143     7.150 |   -0.2512274    0.1132974 |   -0.2878261    0.3033292\n",
      "      144     7.200 |   -0.2449706    0.1125680 |   -0.2901365    0.3454618\n",
      "      145     7.250 |   -0.2418667    0.1123697 |   -0.2889624    0.3850670\n",
      "      146     7.300 |   -0.2375078    0.1123084 |   -0.2842408    0.4190022\n",
      "      147     7.350 |   -0.2360445    0.1116016 |   -0.2836110    0.4466459\n",
      "      148     7.400 |   -0.2330355    0.1109192 |   -0.2857001    0.4676437\n",
      "      149     7.450 |   -0.2309990    0.1111464 |   -0.2843020    0.4874283\n",
      "      150     7.500 |   -0.2295751    0.1107149 |   -0.2793503    0.5016423\n",
      "      151     7.550 |   -0.2266350    0.1100069 |   -0.2788161    0.5100441\n",
      "      152     7.600 |   -0.2255673    0.1097203 |   -0.2808827    0.5124807\n",
      "      153     7.650 |   -0.2244659    0.1097563 |   -0.2794750    0.5088935\n",
      "      154     7.700 |   -0.2218925    0.1091142 |   -0.2745203    0.4993227\n",
      "      155     7.750 |   -0.2206719    0.1084580 |   -0.2735087    0.4839089\n",
      "      156     7.800 |   -0.2201810    0.1086200 |   -0.2757359    0.4747648\n",
      "      157     7.850 |   -0.2182747    0.1082838 |   -0.2745174    0.4651315\n",
      "      158     7.900 |   -0.2157778    0.1218671 |   -0.2697716    0.4506455\n",
      "      159     7.950 |   -0.2161471    0.1355825 |   -0.2704389    0.4375048\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      160     8.000 |   -0.2151729    0.1469593 |   -0.2707389    0.4275461\n",
      "      161     8.050 |   -0.2127952    0.1573432 |   -0.2694331    0.4134631\n",
      "      162     8.100 |   -0.2117394    0.1706686 |   -0.2650902    0.4023469\n",
      "      163     8.150 |   -0.2119062    0.1817192 |   -0.2672558    0.3911304\n",
      "      164     8.200 |   -0.2107495    0.1904315 |   -0.2683024    0.3822928\n",
      "      165     8.250 |   -0.2082131    0.1967798 |   -0.2663359    0.3732349\n",
      "      166     8.300 |   -0.2077818    0.2007759 |   -0.2613219    0.3689741\n",
      "      167     8.350 |   -0.2080062    0.2024676 |   -0.2633899    0.3626509\n",
      "      168     8.400 |   -0.2069391    0.2056955 |   -0.2652821    0.3589444\n",
      "      169     8.450 |   -0.2045246    0.2105359 |   -0.2641651    0.3566101\n",
      "      170     8.500 |   -0.2038535    0.2133460 |   -0.2599823    0.3504546\n",
      "      171     8.550 |   -0.2043619    0.2141797 |   -0.2588080    0.3495118\n",
      "      172     8.600 |   -0.2036217    0.2131149 |   -0.2616295    0.3485526\n",
      "      173     8.650 |   -0.2015743    0.2102508 |   -0.2614664    0.3437420\n",
      "      174     8.700 |   -0.1998037    0.2103615 |   -0.2582390    0.3407342\n",
      "      175     8.750 |   -0.2007848    0.2109840 |   -0.2534838    0.3422127\n",
      "      176     8.800 |   -0.2005708    0.2101138 |   -0.2573004    0.3398359\n",
      "      177     8.850 |   -0.1990985    0.2078326 |   -0.2602698    0.3336696\n",
      "      178     8.900 |   -0.1963192    0.2042303 |   -0.2641359    0.3348811\n",
      "      179     8.950 |   -0.1970230    0.2001046 |   -0.2639727    0.3358621\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      180     9.000 |   -0.1974945    0.1981771 |   -0.2600770    0.3330390\n",
      "      181     9.050 |   -0.1967672    0.1966553 |   -0.2549834    0.3264753\n",
      "      182     9.100 |   -0.1947848    0.1942000 |   -0.2544050    0.3290350\n",
      "      183     9.150 |   -0.1927992    0.1908767 |   -0.2540263    0.3303499\n",
      "      184     9.200 |   -0.1940732    0.1867478 |   -0.2539904    0.3279142\n",
      "      185     9.250 |   -0.1942202    0.1836524 |   -0.2510879    0.3217747\n",
      "      186     9.300 |   -0.1931754    0.1809056 |   -0.2498337    0.3228510\n",
      "      187     9.350 |   -0.1908869    0.1774929 |   -0.2470120    0.3252097\n",
      "      188     9.400 |   -0.1899933    0.1745123 |   -0.2419890    0.3238784\n",
      "      189     9.450 |   -0.1911005    0.1725710 |   -0.2448578    0.3188760\n",
      "      190     9.500 |   -0.1910929    0.1705489 |   -0.2457980    0.3157331\n",
      "      191     9.550 |   -0.1899086    0.1692294 |   -0.2443184    0.3197334\n",
      "      192     9.600 |   -0.1874981    0.1689701 |   -0.2397937    0.3201220\n",
      "      193     9.650 |   -0.1870842    0.1675812 |   -0.2416042    0.3168801\n",
      "      194     9.700 |   -0.1881690    0.1650817 |   -0.2433150    0.3100585\n",
      "      195     9.750 |   -0.1881595    0.1650069 |   -0.2423874    0.3130636\n",
      "      196     9.800 |   -0.1869947    0.1651912 |   -0.2387665    0.3156897\n",
      "      197     9.850 |   -0.1846256    0.1641810 |   -0.2381213    0.3147493\n",
      "      198     9.900 |   -0.1840915    0.1619999 |   -0.2413809    0.3102452\n",
      "      199     9.950 |   -0.1852810    0.1613494 |   -0.2420598    0.3042786\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      200    10.000 |   -0.1854036    0.1619177 |   -0.2400742    0.3095536\n",
      "      201    10.050 |   -0.1843978    0.1612595 |   -0.2353830    0.3113667\n",
      "      202    10.100 |   -0.1822138    0.1596263 |   -0.2402149    0.3096660\n",
      "      203    10.150 |   -0.1809916    0.1580207 |   -0.2425849    0.3044653\n",
      "      204    10.200 |   -0.1823943    0.1587855 |   -0.2423261    0.3006906\n",
      "      205    10.250 |   -0.1827641    0.1585349 |   -0.2393624    0.3056019\n",
      "      206    10.300 |   -0.1820379    0.1577745 |   -0.2393618    0.3071018\n",
      "      207    10.350 |   -0.1801637    0.1563980 |   -0.2431190    0.3051420\n",
      "      208    10.400 |   -0.1782141    0.1556984 |   -0.2442410    0.2997386\n",
      "      209    10.450 |   -0.1794374    0.1560703 |   -0.2426138    0.2963890\n",
      "      210    10.500 |   -0.1801506    0.1560316 |   -0.2381655    0.3013709\n",
      "      211    10.550 |   -0.1798057    0.1549566 |   -0.2378788    0.3029999\n",
      "      212    10.600 |   -0.1783477    0.1528695 |   -0.2393768    0.3012232\n",
      "      213    10.650 |   -0.1760349    0.1539607 |   -0.2380697    0.2960514\n",
      "      214    10.700 |   -0.1763226    0.1543218 |   -0.2338630    0.2914150\n",
      "      215    10.750 |   -0.1774564    0.1536082 |   -0.2267095    0.2968486\n",
      "      216    10.800 |   -0.1775761    0.1518411 |   -0.2259377    0.2989960\n",
      "      217    10.850 |   -0.1766228    0.1517165 |   -0.2272058    0.2977934\n",
      "      218    10.900 |   -0.1745484    0.1525245 |   -0.2258444    0.2932386\n",
      "      219    10.950 |   -0.1734640    0.1522248 |   -0.2217806    0.2869586\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      220    11.000 |   -0.1745691    0.1508347 |   -0.2214847    0.2918986\n",
      "      221    11.050 |   -0.1752181    0.1492262 |   -0.2235711    0.2949045\n",
      "      222    11.100 |   -0.1748400    0.1505274 |   -0.2233701    0.2946212\n",
      "      223    11.150 |   -0.1733816    0.1506957 |   -0.2210090    0.2910279\n",
      "      224    11.200 |   -0.1715325    0.1497427 |   -0.2164994    0.2841652\n",
      "      225    11.250 |   -0.1713794    0.1476933 |   -0.2201323    0.2863012\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      226    11.300 |   -0.1726036    0.1482539 |   -0.2214803    0.2904581\n",
      "      227    11.350 |   -0.1728534    0.1489435 |   -0.2204477    0.2913967\n",
      "      228    11.400 |   -0.1720698    0.1484874 |   -0.2169748    0.2890722\n",
      "      229    11.450 |   -0.1702045    0.1469042 |   -0.2154069    0.2835002\n",
      "      230    11.500 |   -0.1692487    0.1456492 |   -0.2183395    0.2803504\n",
      "      231    11.550 |   -0.1696153    0.1469069 |   -0.2189589    0.2853398\n",
      "      232    11.600 |   -0.1705268    0.1470015 |   -0.2171761    0.2877600\n",
      "      233    11.650 |   -0.1704592    0.1459438 |   -0.2129388    0.2869758\n",
      "      234    11.700 |   -0.1693575    0.1446135 |   -0.2139021    0.2829729\n",
      "      235    11.750 |   -0.1672965    0.1445291 |   -0.2161438    0.2777227\n",
      "      236    11.800 |   -0.1669784    0.1452201 |   -0.2160501    0.2792102\n",
      "      237    11.850 |   -0.1677406    0.1447743 |   -0.2135391    0.2833271\n",
      "      238    11.900 |   -0.1684118    0.1441510 |   -0.2085664    0.2843163\n",
      "      239    11.950 |   -0.1681041    0.1425486 |   -0.2120200    0.2821301\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      240    12.000 |   -0.1667655    0.1430834 |   -0.2135851    0.2767790\n",
      "      241    12.050 |   -0.1652843    0.1435650 |   -0.2127986    0.2745078\n",
      "      242    12.100 |   -0.1647741    0.1434397 |   -0.2095861    0.2777123\n",
      "      243    12.150 |   -0.1658104    0.1423001 |   -0.2066312    0.2806651\n",
      "      244    12.200 |   -0.1663090    0.1405418 |   -0.2097971    0.2805080\n",
      "      245    12.250 |   -0.1658329    0.1419844 |   -0.2107039    0.2772130\n",
      "      246    12.300 |   -0.1643324    0.1424111 |   -0.2092491    0.2717486\n",
      "      247    12.350 |   -0.1633040    0.1417943 |   -0.2053659    0.2710662\n",
      "      248    12.400 |   -0.1626684    0.1401532 |   -0.2051643    0.2756082\n",
      "      249    12.450 |   -0.1638613    0.1399784 |   -0.2072843    0.2776500\n",
      "      250    12.500 |   -0.1642499    0.1410040 |   -0.2075410    0.2766080\n",
      "--------------------------------------------------------------------------------\n",
      "Done.\n",
      "+ echo Stopping:\n",
      "Stopping:\n",
      "+ date\n",
      "Thu Jul 27 11:24:52 CDT 2017\n",
      "Thu Jul 27 11:24:52 CDT 2017\n",
      "Simfactory Done at date: 0\n"
     ]
    }
   ],
   "source": [
    "!rm -fr ../simulations/wave_toy\n",
    "!./simfactory/bin/sim create-run wave_toy.par --procs=2 --num-threads=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "file_data = np.genfromtxt(\"../simulations/wave_toy/output-0000/wave_toy/psi.xy.asc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sets= [   0.   25.   50.   75.  100.  125.  150.  175.  200.  225.  250.]\n",
      "time= 0.0\n",
      "min/max= 0.0 1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f946280f208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 25.0\n",
      "min/max= -0.245488345688 0.236825049851\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94655d1ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 50.0\n",
      "min/max= -0.154033365164 0.182633481829\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9465552eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 75.0\n",
      "min/max= -0.10569862376 0.153407032713\n"
     ]
    },
    {
     "data": {
      "image/png": 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T6cmvxpP/SznSRDA4Jf7A/9vwVL493sm/Whpzcu2SVPbSLUhFc+mYCHiDorfm1tHxXh6p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\nhYgUUqAQkUIKFCJSSIFCRAr9f9vXqYIyGw5NAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9461916dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 100.0\n",
      "min/max= -0.144224202634 0.134552960331\n"
     ]
    },
    {
     "data": {
      "image/png": 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Etacp7vUQkebWTBmFiDSppggUZna8mW0ws41mNif/E3167IPM7Akze97M1pnZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94655ff4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 125.0\n",
      "min/max= -0.199506702817 0.121023330873\n"
     ]
    },
    {
     "data": {
      "image/png": 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XisJG+gK4f/zlIHp8NuxcnnfwyWE5EXYGmXFl2JQflqTpkwUK4ogi9x/UgTa2ltgelX5G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\nCCFSkaEQQqQiQyGESEWGQgiRyn8BjiFiZTw1tccAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9465560e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 150.0\n",
      "min/max= -0.229575071116 0.110714884067\n"
     ]
    },
    {
     "data": {
      "image/png": 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1pYkv3CRUGYa4Hz3K+05GjN/OuHDM4KBW+FVYRvWwCuIQ+D3v+EhNt1XLUvuA\nO7bTPfg2YtQk8aHE9b7QEFRHYVh5IdoBPuKRjXbEsGiMgJ50yXWF1PhstENhUZFCikIIkUtNKYqd\n+PTsyQzh6GU+4+qq8Db+W7yS6H7F2cnxr/rD+Wao4X1vKObtwqCw9xzY3f6deYbdBcCc0JcfRkzO\nGlOYfLe52cfSb9foR5l+FgAPTffXncuQZDq1d7/tR64NnuoTrW6L6eKzSYa9RyWxJ7QjDo1v4MzE\nt1G/yudP9F/lIzXd8PfiaiAoikNC7c90tAN8xCObsj0/fMEPLvUVuE45ISfakf6+Yr+mpgxFLAe3\n/sg/8dXoyPtm8THvPeu7JKcC7909DYCfzvEOzyVXewMxMXQzFppjB/8AwLGX+32MDhcKscPGrm1T\n2cnYk72/BWDYSv9DH7YBCEmWO6d7CzZpujdcZ5//PACD/60PK4LR6D4pGIw7wo8/GIq7OZXwW2cH\n3gj0CI2eho/7TpzdB8J3HB4blnJiAozgvxIDEbscK8OhB4zxBTzGdKOpE1NdDlECdT2EELnUlKIo\nSXDkzVj1Vf9h0s/Cjn/kJ4Rsod3+7WwP+27GTeYdle9g8LA/pDH0NMJYTzaEWg2b4+u7lWQrQfUL\n160fCvUh0atuq3+9L7whLL3fk5uP2MnB5/tsqq8+4p2PM0Pi1ZmDvFP0dK5gVRwFO/7HAOwIaejT\nQhr6xHcKkdg4tqMxemJDfcx6NiVKItvlGHpBKm27uZRtdTlECikKIUQuNakoDnnjI8lgpxkzvFro\nHhx5P3km9OnHw49Df//vvuCTsB5c6R2ew/oe63c8UHjTZpVEpL21IjdvCx/C+RuAeWFTv3DPCXf7\nZV3wH0y94VgmhHoadcHxuvFN7zt5/An/PWcM+iq/XPdzAJIp1gbE8v+hmtahhZoXM5kGwKJM++an\nPLPLQ13MIt8EULcVJViJViFFIYTIpaYURZw4ZzhDWHSdrx/RK1TLHjGjOJ156dM92XXUKwA8+Iaf\nODgJecaJDFPFIpOKWd1oltZERxN6t7AvEFVMfVAYI+fAsQO8vHjnWt/m/keEyEhUFrPuYukEHwEZ\nkdTS8EzDR0+YAatvjvplTPFNx/8UgOWzv5ZsOuB2X/fqmou8b2JkDIk20jTBSr4JUQIpCiFELuan\nC23hALNZwBeBXc6508O224AvAXvww6LGO+feDvumAFcCHwDfcM4ty2vEQDPna0GHJCamJdP8PRiO\nSdeLBD+W8pcbAAAF5UlEQVSs+pZs8lRMnIqKoh+FiXpbQ3PT6LV0jZRqaczRZ3V7KeRPh2SxWAM0\nVu7q96bxeGxHnBYkDi4LA9p+PAOmBB/HOyG5jPf94qLwmDZvK/hfok8iURIxoWI+TSWRFMWHFoOn\nnXMD23VuKwzFXwL/D5iXMhRDgN845/aa2a0AzrnrzKwvcA/waeDPgUeAOufcBy3do2AoImcls4Y3\nNydnPY9xLJlCFHkZlpVgQIlt/Upsi0TnYZT8IXQaR8tOZgjrQ2ZnHEcSSaYGmPSzpt2t28JBF4fl\n8RSMUjQ82XuXyjgVH1rKMRS5XQ/n3H8Ab2a2LXfOxffTEySTfTICWOic+2/n3FZgC95oCCH2YXIV\nBYCZnQg8EBVFZt+vgEXOubvN7EfAE865u8O+u4CHnHNLWrp+U0UhhOhoKqooWryx2fX4mSAWtOPc\niWa2xszW7C6nEUKIitPu8KiZjcM7Oc93BVnyGsUz2PUM25rgnJsJzAzX2m3wB+B3pY6tEkeh9rSE\n2tMytdiev2jvye0yFGZ2IfAd4LPOufdSu+4HfmFmt+OdmScD/5l3Pefcx81sTXtlUSVQe1pG7WmZ\nGm3Pie09P9dQmNk9wHnAUWa2HfguMAU4EFhhZuD9Ev/LObfRzBbjfeh7gavyIh5CiNon11A45y4r\nsfmuEtvi8TcBN5XTKCFEbVFLmZkzq92ADGpPy6g9LfOhak+rwqNCiP2bWlIUQogapSYMhZldaGab\nzWyLmU3u5Hsfb2aPmtlzZrbRzK4O248wsxVm9kJYHp53rQ5uVxczazCzB8J6LzN7MjyjRWbWwjjY\nDm/LYWa2xMyeN7NNZnZWNZ+PmX0z/F89a2b3mNlBnfl8zGyWme0ys2dT20o+D/P8S2jXejNrywSW\n5bTntvD/td7M/t3MDkvtmxLas9nMhpa+ajFVNxRm1gX4MTAMP1rjsjBmpLPYC3zLOdcXGARcFe4/\nGVjpnDsZP4yqUw0YfgjYptT6rcAPnXO9gbfwA+86izuAh51zp+JnF9lElZ6PmR0HfAMYGDKFuwCj\n6NznMweSouuR5p7HMHyawMnARGhmavmOb88K4HTn3Bn40T5TAMLf9ijgtHDOT8JvsGWcc1X9hx8y\nuiy1PgWYUsX2LAUuADYDPcK2HsDmTmxDT/wf2+eBBwDDJ+90LfXMKtyWj+FrdVtme1WeD3Acfrjb\nEfio3QPA0M5+PsCJwLN5zwP4KXBZqeMq2Z7Mvr8CFoTPRb8vYBlwVt71q64oKPzHR7aHbZ1OGNNS\nDzwJHOOci9XodgLHdGJTZuAT2uLY+iOBt11hIF5nPqNewG5gdugK/dzMDqZKz8c59xowHdiGrxb4\ne+Bpqvd8Is09j1r4+54APFROe2rBUNQEZvZR4F5gknOuaHph501vp4SHzCzW/ni6M+7XCrria6Hf\n6Zyrx6faF3UzOvn5HI4fpdwLn/17ME1ld1XpzOeRRznjsdLUgqFo9fiQSmFmB+CNxALn3H1h8+tm\n1iPs7wHs6qTmnA182cxeBhbiux93AIeZWUyQ68xntB3Y7px7MqwvwRuOaj2fLwBbnXO7nXPvA/fh\nn1m1nk+kuedRtb/v1Hisy4Pxand7asFQPAWcHLzW3fCOlvs76+bmc9DvAjY5525P7bqfZPpjxuJ9\nFxXHOTfFOdfT+bz8UfgCQZcDjwKXVKE9O4FXzeyUsOl8fIp+VZ4PvssxyMy6h/+72J6qPJ8UzT2P\n+4ExIfoxCPh9qotSMVLjsb7smo7HGmVmB5pZL1o5HqvizqdWOmKG4z2zLwLXd/K9z8HLxPX42k9r\nQ3uOxDsUX8BX6jqiCs/lPHwdEIBPhP/QLcC/AQd2YjsGAGvCM/olcHg1nw/wj8DzwLP4gn4Hdubz\nwVdx24EvQLgdH2Ep+Tzwjugfh7/tDfhoTWe0ZwveFxH/pv81dfz1oT2bgWGtuYcyM4UQudRC10MI\nUePIUAghcpGhEELkIkMhhMhFhkIIkYsMhRAiFxkKIUQuMhRCiFz+P7POq3cKj+qXAAAAAElFTkSu\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9465544710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 175.0\n",
      "min/max= -0.200784801505 0.210984031467\n"
     ]
    },
    {
     "data": {
      "image/png": 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XEyYzykP8mqCsOrWo1zfho2iBqFZFqFFKUBRrMfYTTFEYhpFKRSmKwKsQ+SSO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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f946556e940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 200.0\n",
      "min/max= -0.18540362708 0.161917720306\n"
     ]
    },
    {
     "data": {
      "image/png": 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K5xzg7dgQxTCMTkpbwqO/AM4HjhGRncB3gbnAchG5EvgLcLkevgofGt2GD49O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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9461916080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 225.0\n",
      "min/max= -0.17137942871 0.147693346001\n"
     ]
    },
    {
     "data": {
      "image/png": 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MTwLrTHnRO4+MesbngDhvIKo/Gca6IdEgTEDSitvtw+F6TY7YevOColtcvMTX\ngny4eRyrpvpxdVAWv3jD9+5jX/Mq4s0jCkPsZbpNciTu8f6DOPkrRG1Czc24eVkqA1J+jEhdQGHF\nshAh2dZ5clX5F70iSWybWrz/pfSBxvuFaoYey4BvA3dH++YAnc65NhGZo++vAyYAJ+m/s4HbdVsd\n4Uc940mGjdIfu84HmBCOyQiphdmIe1L7uyidNhDWHA2rbb895yscr6G8a/l/RcfeqkvlTfwv4eG1\n/vibpqqDU3+QIWxL9/mZjlIo/EDXcWcSUlyp2zs0/PvRBRcC3oAE46HrEWUajthoACzLmFeSTtyC\nrIpblYLIytqS4nVANKdmd/4lYsL/genZgUPuf5Vz7mfAb1O7LwXu0td3AZ+N9t/tPL8EDhGRo/ZX\nYw3D6B9668w80jn3ir7eQaGrOppiAbpd971CNdziN+3jouFAuw4Hlv4lUAizZfFumLkY07y++L3O\nOQjXuQiYqrpjCv+QOtmLqFtuWQDL/DBk3grv4FzX6WeNrur0SVXDgTZ8b17kKIXspQU07Lej09d0\nuOZM/9juOPw90CK9353n07z/IkNhhIpbYzWBqzmVwLXsjGmFoY/OK0k7PP0M0XLpahHNPRU/Dold\nwxpgmUSjPtQs/pxzDnSu9T4gIleLyBoRWfNqrY0wDKOu9FZR7BSRo5xzr+jQYpfuf5liL8Ixuq8E\n59xiYDHAmSLe0FzgP5v68DiOvsTXXnyW2wE4jeP8h0emPRHAzoP9tsf7Ee5hLgBdnML9Ootxf/vZ\n0uneo9nJBK1jwanas6pCCt+rCG3QsB/4JK+VS3W78Vzm3+wXA2672T+Wv/6S96AGhbHwiIKCCMpi\nqCZyxQojnrUKlR2eof5EwZ+Sn/QWaJRK4kb96K2ieBCYrq+nAw9E+6eJ5xzgjWiIYhjGAKWa8Oj3\ngPOBI0RkO/A1oA24V0SuAn4DfE4PX4V39m/Bh0dnlFywAiF68fbdX+FG9Rucxl/5nWE9jYujE0IO\n8SZVGdd8H4ApO0OK8OM8m5qA/ULKj9HT82G6kv50btFn9/NBQJfM0ySqsJxee3pKOkeWHauH71UU\nhdGZaC1fKt42bXuSeTd4P0hYDPhHN/vv06oK45PLr+LzGuW4UmNKY8NU+JAivrUwAa1F1ceyVC3P\nvcwuWViZlJJIp2nHHLS7d/3MqLCM4zsVDzMaiFxD4Zy7osxHJYJa/RWzam2UYRiNRUOlcIdJRQdO\n+wbLdX2TjiP6AAAPF0lEQVSIKaj/oVtVQ+j8h1OYHx4I+qXNH9vCL1muiiLxUaSiIC8wivs1AlKi\nPj7nE7pWjiBZB+QarYa1Lkx/V1Z1npxUyJq3USeX6a2a1KR2RU875BKE1oQklVHDYaYWgGnSy0y4\nwfte9qjCmD91B9drZe8HOj4GwFfVH5FY6a0k6iKdsDVGlcXfn/JIodKWRkS2pVTC3sPfK1QQy+NY\nbBLX+5SGMhR0+s21EztY8A//CMDwuX6o8FCbOjXbdCgyDq16G5HKrjqNn3K6Wo9OHUYktCQzRXhB\npy++lAq9HjjtGwC0boN0Cf90fYxdK+fTrmuOztThybDZxbNRW68prHUaVlFPko8ovP+ivh6lhjBt\nOOZdMox5G317xmhYNTg8uxd6x+WiIwqOzng4Ar7SFgBnbC9xdO4NiWQhySoKjSbfNarl4SkMtcJC\nP4Mw3k9YbpxhGLk0lqLQeRRt66HtSz7Bac4cvz29zSdeDZrrHXrLOrqY0nG+PyErZApABy2aNH2B\nDiseqaLIa0jcGnehOkX/qbSE/1idYxHYNeZx1unCOEt26xAk1LdYWjiuSeeYtGkQuV2VRSyGkmGJ\nbksUxgZo6vC9ePd4P4t1/s0+tfz6pe8CsOG5QSwMjs6gLHRYEGphzDqx4OicHeaMhEaE+h0U1yet\nRLzYczrTPjzTMLu0iPWlu2wI01iYojAMI5fGUhQroq0Olds0/bntFq8s2p3fTn14HDdc4nupG3eG\nFOzz9QJ7km0hLVtDnz1eWXRG5eRD75d2eCZhvLXRsoUtfpyervi95ZRHkqyzQrKS1mkICyPHFZxU\n2LSqKyDUj+wZDF0plZFWGEuGQMs4Pe95v513iQ+pztzo/SNNhzkuW+Mv+sOzvaMzWdRvY2E79o/9\ny4WpEOqGlGKK2aUz29K+5C4oWjqwHInL2GabDhhMURiGkUtjKQrtgYM/AEh6vwnj/b5WTY9ufaiD\nif/lx+dTR70OQFePTz/+JtP05O+D1q+cklzQK4vTNc76bDoaQmH5u4SuaFGgjEWGylGSgFXFUnlN\nQJOqi3SEJLD+rWhYr916q84WH7bI+0X2zH4siYh8cvlVAPxC1UKRsvh3/3KsKrdm9WskVbWi+4YJ\n6atJkTXprQzHjbQ1PQYipigMw8ilwRRFgbu4KPP99I06lfuEcTysNWPmbD4EgAWtuqbfvT596ZuA\nVxWF7ZREYfhB/gY+TRfnACSp3LdoZCQZS28spDKnlygMlOYW5LA29T5IhCgoE8rFzFTVkPTuQwr+\nirt1G/waM0MqOE/SPdsrrjFTNfVbTy9SFiE1XuXCUFVwQWGESWYAq9WPEYrjhNy38KC6oPzSgVGi\nW9aqZkZj07CGIsxibE/NPZiTrMe5g3mzLwOgTaV9S/t5AEyiYDC+mZwZDMaeoven8X1OC9mfPK7b\nE/z1ovuGak6jdPnCUMUhqz5UxZJz4dceLh4MRijRt54SoxEMRjwkKefwXBIZjCY9P4RQJ2UYjLHB\nsRm+SBTKBeDjJF82OD7DEo4JzcVtiEn7K0ceF71Jl7mwVcwbFht6GIaRS4MpClUGUTn5UBg2vZp5\nO0eyTt1qK2d791zrWnUaxsoiGYaoEy0kZ4UevAVY6vdN2elDqVOT+ZWBc3OrPEEVsyk3Ut7xFw9F\nYnURo01oaiqoi+R/MOXwXALM1BBqk582w0pVFptUWVx2yiNsm+HVwdCwVEFQFkF4PQGJ4Ap8lkw2\nv1ihAlmUMt+UnjWaHoYZDYcpCsMwcmkwReEZxmMlDq+0c3MbBXUxKSiLFaosmr2y6Go/jwVrfei0\npedxAKbwcX/SlXryKRQcDld41ZHuFePFftOJVskyhlHKc/w9ypL2VcTsQw/bmgqlhst24VUFlCqL\n7vH+OR185ktc+FuvMn7xFT1YfRRv4UOq3fwhY/b8b6Cw6PJpOks3SZyvkBWfTt0eNYT8OhSWvt1w\nmKIwDCOXhlQU8CTD9FUlZREURZj6PSnls2jjSdav96HTGz7gx+VTQn3N0B/GecjBf6FBizCW3gEl\nNRnCUH7L87qkYNdZyaWqWisjkPb0V6sw0pGREBqJvk+4dImyWOgVV8/sr3LUSX4S2W2v+Ynhs0JN\nj1vDNc6iC78+yNVLvaIYo9W+3khFd17cPC55nU6HD4lWLfGHWZPBjIbEFIVhGLk0qKKAEAHZF2UR\nIiPz8VWs580exsM6rXvIQ+MBuOeSxwGYskx9FRdTOrspRRefIsiM4JNI+ypY21RIQKqFWGGUy0xa\nS9nISLKmV4ayCNsmjXAMW3sjq1b4yXEX3+PXIpn1Fa8/htzaobe6g2Y2+xPKzeZXjhvZwdb02ioa\n7Qj5E5lfyfInGp4GNhSB8gYjy8EJhSStFjqYcImXw8s3+D/8yWiJvY7opBxDASTLBYahhq5PlJSS\ni0OjFVcLD466auZHVBqW5Dg84zkj6f/lUDei6UaYsMI/n9EaMr3NeUMxS1dmb96zuXBiOkyaRarU\nYJETEx3OhUizhUUHDDb0MAwjlwGgKIoJIcdKyiLeP0FrS7ZqRahJWotzw9x/BuC0lX9VCI+qozNZ\nmjCjXkLJnA5VGsPJSt3ez0vsVRqWVOid41oX8WWajgV0vkzbbD9/IxmCLPLK4uqZF/KWzosJzym4\nao9P3WfkcbBVhxpBSVx4YeTEBP9MyzkxLSzasJiiMAwjlwGkKIp752GUd3BuivaF2hYTrvW94nUb\nfIWsS7T25ra2OQQv3Qba/Ekz/rXoui38nIM6fZn+vaH0lnKQLqBzCoWwaFVL7KV7z32o6QCU91+s\njbbB4akO3bTPomdwYeLYhKAarvHh0tWv6QzTpduTRKuwHEJY/HhZ0BaqEEaNg82X++cbnJfBN9Ea\nkqziTHhzYg4YTFEYhpHLAFIUaconZYX6lkUL7WoP3qY9W1g3ZNzcN5iqXdsNeqUTL/dpzXHvFwIj\n6SX4wgqHo9lZOdqRR9b4fF9URpbCSPst0slZcalsvVfrRt93XKaqYdvPtjNUlysM9Sh2zZ6f2YSZ\nQMuI0mYAxUlWFu0YcJiiMAwjl2oWKV4CXALscs6drvsWAn8MvIVfh2qGc+51/WwucBXwLvA3zrk6\nFkmsnJSVmdyj6cfX6Xoht4z6CY/c7WdEHTjNJ2UtD73iv6HXf4xWXawvqJQQ4Qh+iRZ+Hvkm9lO0\no1IUIE9tVDP+z5g5v4ivAtCk9TY/tPyqZA2T1RoROUhXRGvRY4NCaNoW+UECQUn8gMKx6bZZtKPh\nEb+ucIUDRP4A+L/A3ZGhuAj4iXPuHRFZAOCcu05ETsUXV/sE8PvAY0CTc+7dSvc4U8StqfmrxJyb\nsU9/vJP17VTdXhAlIAWHmy5tyLW63Vi4ZjyTFNKOy/0cDq2VcsYky4KGH+/G4gLHd3FR4hwOmafT\n0XKEwQEa7tNCwYEaSA8zYiNhBqJPEXjGOXdmb87NHXo4534G/Da17xHnXPhZ/RLQmVFcCqx0zv2X\nc24bPoHxE71pmGEYjUOuogAQkeOBh4KiSH3270C7c+4eEfk28Evn3D362Z3Aj5xz91W6/v5XFIZh\npKmroqh4Y5Hr8WVIVuQdm3Hu1SKyRkTWvFpLIwzDqDu9Do+KyJV4J+cFriBLXqY46HaM7ivBObcY\nWKzXelXgP4DXetueOnAE1p5KWHsq04jt+VhvT+6VoRCR8cCXgT90zr0ZffQg8F0RuQXvzDwJ+D95\n13POfURE1vRWFtUDa09lrD2VadD2HN/b86sJj34POB84QkS2A1/Dr8v3AeBREQHvl/hfzrkNInIv\n3p/9DjArL+JhGEbjk2sonHNXZOy+s8LxNwE31dIowzAai0bKzFzc3w1IYe2pjLWnMu+r9lQVHjUM\n4783jaQoDMNoUBrCUIjIeBHZLCJbRGROH9/7WBH5qYhsFJENIvIF3X+YiDwqIs/pNl1Ot97tGiQi\nXSLykL4fLiJP6TNqF5EhedfYj205RETuE5Ffi8gmETm3P5+PiHxR/6+eFZHvicgH+/L5iMgSEdkl\nIs9G+zKfh3j+Sdu1TkQ+3kftWaj/X+tE5Icickj02Vxtz2YRGZd91WL63VCIyCDgNmACftbAFTpn\npK94B/hb59ypwDnALL3/HKDTOXcSfvZHnxow4AsU1+BZAHzLOTcC+B3oUl59w63Aj51zJ+ML4m2i\nn56PiBwN/A1wpmYKDwIm0bfPZxkwPrWv3POYgE8TOAm4Gri9j9rzKHC6c240fvrfXAD9254EnKbn\n/LP+BivjnOvXf/jZVh3R+7nA3H5szwPAhcBm4CjddxSwuQ/bcAz+j+0zwEOA4JN3Bmc9szq35cP4\nWuWS2t8vzwc4Gj8n9TB81O4hYFxfPx98ydBn854H8K/AFVnH1bM9qc8uA1bo66LfF9ABnJt3/X5X\nFBT+4wPbdV+fo3NaWoCngCOdc6/oRzsgroJTdxbhE9re0/eHA6+7wkS8vnxGw4FXgaU6FPqOiHyI\nfno+zrmXgZuBF4FXgDeAZ+i/5xMo9zwa4e97JvCjWtrTCIaiIRCR38NXTbjGOVe01I3zprdPwkMi\nEmp/PNMX96uCwcDHgdudcy34VPuiYUYfP59D8bOUh+Ozfz9EqezuV/ryeeRRy3ysmEYwFFXPD6kX\nInIg3kiscM7dr7t3ishR+vlRwK4+as4ngT8RkReAlfjhx63AISISEuT68hltB7Y7557S9/fhDUd/\nPZ8/ArY55151zr0N3I9/Zv31fALlnke//X1H87Emq/HqdXsawVA8DZykXusheEfLg311c/E56HcC\nm5xzt0QfPQhM19fT8b6LuuOcm+ucO8b5vPxJ+AJBk4GfApf3Q3t2AC+JyEjddQE+Rb9fng9+yHGO\niAzV/7vQnn55PhHlnseDwDSNfpwDvBENUepGNB/rT1zpfKxJIvIBERlOlfOx6u58qtIRczHeM7sV\nuL6P7/0pvExch6/HtFbbczjeofgcvlLXYf3wXM7H1wEBOEH/Q7cA3wc+0IftaAbW6DP6N+DQ/nw+\nwN8BvwaeBZbj5x312fPBV3F7BXgbr7iuKvc88I7o2/Rvez0+WtMX7dmC90WEv+l/iY6/XtuzGZhQ\nzT0sM9MwjFwaYehhGEaDY4bCMIxczFAYhpGLGQrDMHIxQ2EYRi5mKAzDyMUMhWEYuZihMAwjl/8P\nzPq1KZGd8V0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94627efc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 250.0\n",
      "min/max= -0.16424986502 0.141003971065\n"
     ]
    },
    {
     "data": {
      "image/png": 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VW34ygdUTdRiiDtPPLfKh0+l6bjfFiaUhTJuEZ1/0m+OP3ZGEe8PoJG3b4qUB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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94637214e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sets = np.unique(file_data[:,0])\n",
    "width = 8\n",
    "height = 4\n",
    "print(\"sets=\",sets)\n",
    "mn, mx = np.min(file_data[:,12]),np.max(file_data[:,12])\n",
    "#mn, mx = 0,1\n",
    "for which in sets:\n",
    "    g = file_data[file_data[:,0]==which,:]\n",
    "    print(\"time=\",which)\n",
    "    x = g[:,5]\n",
    "    y = g[:,6]\n",
    "    z = g[:,12]\n",
    "    zi = z.reshape(len(np.unique(y)),len(np.unique(x)))\n",
    "    print('min/max=',np.min(zi),np.max(zi))\n",
    "    plt.figure(figsize=(width, height))\n",
    "    plt.imshow(zi[::-1,:],cmap,clim=(mn,mx))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<h3>Exercises:</h3>\n",
    "<ol>\n",
    "<li>Add a parameter to param.ccl and use it to change the position of the Gaussian wave hump.</li>\n",
    "<li>Advanced: Write a Conway's Game of Life thorn. For this thorn it does not make sense to use MoL. Schedule your routine in CCTK_EVOL.</li>\n",
    "</ol>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2>Adaptive Mesh Refinement</h2>\n",
    "Sometimes you care more about what is happening in one part of a grid than another. Wouldn't it be nice if you could\n",
    "spend less time computing in regions that are less important? That way you could explore larger problems with less compute cycles.\n",
    "\n",
    "Well, dream no more. Adaptive Mesh Refinement is supported in Cactus/Carpet. And, at least for the toy example we are\n",
    "considering in this file, all you have to change to make use of it is your parameter file. (Actually, what we're going\n",
    "to consider here is technically Fixed Mesh Refinement (FMR))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>How AMR works</h3>\n",
    "For reasons of simplicity, we'll focus on a 2 refinement level system. Thus, we have a coarse (refinement level 0) and a fine level (refinement level 1). We start from a time t0, at which data on all refinement levels is consistent and valid.\n",
    "\n",
    "* All data is initialized at time t = t0\n",
    "* The coarse level is evolved forward to time to t = t0 + dt\n",
    "* The fine level is evolved forward to time to t = t0 + dt/2\n",
    "* Boundary data for the fine grid at time to t = t0+dt/2 is interpolated from the coarse grids at times t0 and t0+dt\n",
    "* The fine level is evolved forward in time to t = t0 + dt\n",
    "* Data from the fine level at t=t0+dt is copied back into the coarse grid at time t=t0+dt\n",
    "* If not done, t0 += dt and repeat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Over-writing file 'wave_toy2.par'\n"
     ]
    }
   ],
   "source": [
    "wave_toy2_par_src = \"\"\"\n",
    "ActiveThorns = \"{thorn_name} coordbase carpet cartgrid3d MoL\"\n",
    "\n",
    "Cactus::cctk_itlast = 250\n",
    "\n",
    "# the output dir will be named after the parameter file name\n",
    "IO::out_dir = $parfile\n",
    "\n",
    "# The set of parameters required to specify the grid...\n",
    "Carpet::domain_from_coordbase = \"yes\"\n",
    "CartGrid3D::type = \"coordbase\"\n",
    "CartGrid3D::avoid_origin = \"no\"\n",
    "CoordBase::domainsize = \"minmax\"\n",
    "CoordBase::spacing    = \"gridspacing\"\n",
    "CoordBase::xmin =  0\n",
    "CoordBase::xmax =  30\n",
    "CoordBase::ymin =  0\n",
    "CoordBase::ymax =  30\n",
    "CoordBase::zmin =  0.0\n",
    "CoordBase::zmax =  0.0\n",
    "CoordBase::dx   =  0.25\n",
    "CoordBase::dy   =  0.25\n",
    "\n",
    "# Because we're doing a 2D code...\n",
    "CoordBase::boundary_size_z_lower     = 0\n",
    "CoordBase::boundary_size_z_upper     = 0\n",
    "CoordBase::boundary_shiftout_z_lower = 1\n",
    "CoordBase::boundary_shiftout_z_upper = 1\n",
    "\n",
    "# The time integration scheme...\n",
    "MoL::ODE_Method = \"RK3\"\n",
    "\n",
    "# The next section is required if you want some kind of confirmation\n",
    "# on the console that your code is actually doing anything...\n",
    "ActiveThorns = \"CarpetIOBasic IOUtil CarpetReduce SymBase\"\n",
    "IO::out_fileinfo=\"all\"\n",
    "IOBasic::outInfo_every = 1\n",
    "IOBasic::outInfo_vars = \"{thorn_name}::phi {thorn_name}::psi\"\n",
    "\n",
    "# Get some data!\n",
    "ActiveThorns = \"CarpetIOASCII\"\n",
    "CarpetIOASCII::compact_format = false\n",
    "IOASCII::out2D_every = 25\n",
    "IOASCII::out2D_xyplane_z = 0\n",
    "IOASCII::out2D_vars = \"{thorn_name}::psi {thorn_name}::phi\"\n",
    "IOASCII::out2D_xz = \"no\"\n",
    "IOASCII::out2D_yz = \"no\"\n",
    "IOASCII::output_ghost_points = \"no\"\n",
    "\n",
    "# Taking too big a time step can lead to unstable evolution.\n",
    "# You can control that with dtfac and thorn Time.\n",
    "ActiveThorns = \"Time\"\n",
    "Time::dtfac = .2\n",
    "\n",
    "### MESH REFINEMENT ####\n",
    "ActiveThorns = \"CarpetRegrid2\"\n",
    "Carpet::init_fill_timelevels = \"true\"\n",
    "Carpet::max_refinement_levels = 2\n",
    "CarpetRegrid2::num_centres = 1\n",
    "CarpetRegrid2::num_levels_1 = 2\n",
    "CarpetRegrid2::position_x_1 = 8.0\n",
    "CarpetRegrid2::position_y_1 = 8.0\n",
    "CarpetRegrid2::position_z_1 = 0.0\n",
    "CarpetRegrid2::radius_1[1] = 8.0\n",
    "\n",
    "### Dissipation is numerical noise added to mitigate\n",
    "### grid boundary effects seen in some AMR simulations.\n",
    "#ActiveThorns = \"Dissipation Spacemask SPHERICALSURFACE\"\n",
    "#Dissipation::vars = \"{thorn_name}::psi {thorn_name}::phi\"\n",
    "#Dissipation::order = 1\n",
    "\"\"\"\n",
    "create_file(\"wave_toy2.par\",wave_toy2_par_src,thorn_pars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameter file: /home/sbrandt/CactusFW2/wave_toy2.par\n",
      "Skeleton Created\n",
      "Job directory: \"/home/sbrandt/simulations/wave_toy2\"\n",
      "Executable: \"/home/sbrandt/CactusFW2/exe/cactus_sim\"\n",
      "Option list: \"/home/sbrandt/simulations/wave_toy2/SIMFACTORY/cfg/OptionList\"\n",
      "Submit script: \"/home/sbrandt/simulations/wave_toy2/SIMFACTORY/run/SubmitScript\"\n",
      "Run script: \"/home/sbrandt/simulations/wave_toy2/SIMFACTORY/run/RunScript\"\n",
      "Parameter file: \"/home/sbrandt/simulations/wave_toy2/SIMFACTORY/par/wave_toy2.par\"\n",
      "Simulation name: wave_toy2\n",
      "Assigned restart id: 0 \n",
      "Running simulation wave_toy2\n",
      "Preparing:\n",
      "+ set -e\n",
      "+ echo Checking:\n",
      "Checking:\n",
      "+ pwd\n",
      "/home/sbrandt/simulations/wave_toy2/output-0000\n",
      "+ hostname\n",
      "melete05.cct.lsu.edu\n",
      "+ date\n",
      "Thu Jul 27 11:24:56 CDT 2017\n",
      "+ echo Environment:\n",
      "Environment:\n",
      "+ export CACTUS_NUM_PROCS=2\n",
      "+ CACTUS_NUM_PROCS=2\n",
      "+ export CACTUS_NUM_THREADS=1\n",
      "+ CACTUS_NUM_THREADS=1\n",
      "+ export GMON_OUT_PREFIX=gmon.out\n",
      "+ GMON_OUT_PREFIX=gmon.out\n",
      "+ export OMP_NUM_THREADS=1\n",
      "+ OMP_NUM_THREADS=1\n",
      "+ echo Starting:\n",
      "Starting:\n",
      "++ date +%s\n",
      "+ export CACTUS_STARTTIME=1501172696\n",
      "+ CACTUS_STARTTIME=1501172696\n",
      "+ '[' 0 -eq 0 ']'\n",
      "+ '[' 2 = 1 ']'\n",
      "+ /usr/lib64/mpich/bin/mpirun -np 2 /home/sbrandt/simulations/wave_toy2/SIMFACTORY/exe/cactus_sim -L 3 /home/sbrandt/simulations/wave_toy2/output-0000/wave_toy2.par\n",
      "INFO (Cactus): Increasing logging level from 0 to 3INFO (Cactus): Increasing logging level from 0 to 3\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "       10                                  \n",
      "  1   0101       ************************  \n",
      "  01  1010 10      The Cactus Code V4.2.3    \n",
      " 1010 1101 011      www.cactuscode.org     \n",
      "  1001 100101    ************************  \n",
      "    00010101                               \n",
      "     100011     (c) Copyright The Authors  \n",
      "      0100      GNU Licensed. No Warranty  \n",
      "      0101                                 \n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Cactus version:    4.2.3\n",
      "Compile date:      Jul 27 2017 (11:24:43)\n",
      "Run date:          Jul 27 2017 (11:24:56-0500)\n",
      "Run host:          melete05.cct.lsu.edu (pid=92558)\n",
      "Working directory: /home/sbrandt/simulations/wave_toy2/output-0000\n",
      "Executable:        /home/sbrandt/simulations/wave_toy2/SIMFACTORY/exe/cactus_sim\n",
      "Parameter file:    /home/sbrandt/simulations/wave_toy2/output-0000/wave_toy2.par\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "Activating thorn Cactus...Success -> active implementation Cactus\n",
      "Activation requested for \n",
      "--->WaveToyET17 coordbase carpet cartgrid3d MoL CarpetIOBasic IOUtil CarpetReduce SymBase CarpetIOASCII Time CarpetRegrid2 <---\n",
      "Thorn carpet requests automatic activation of CarpetLib\n",
      "Thorn carpet requests automatic activation of MPI\n",
      "Thorn carpet requests automatic activation of Timers\n",
      "Thorn carpet requests automatic activation of LoopControl\n",
      "Thorn CarpetLib requests automatic activation of Vectors\n",
      "Thorn CarpetLib requests automatic activation of CycleClock\n",
      "Thorn LoopControl requests automatic activation of hwloc\n",
      "Thorn hwloc requests automatic activation of zlib\n",
      "Activating thorn carpet...Success -> active implementation Driver\n",
      "Activating thorn CarpetIOASCII...Success -> active implementation IOASCII\n",
      "Activating thorn CarpetIOBasic...Success -> active implementation IOBasic\n",
      "Activating thorn CarpetLib...Success -> active implementation CarpetLib\n",
      "Activating thorn CarpetReduce...Success -> active implementation reduce\n",
      "Activating thorn CarpetRegrid2...Success -> active implementation CarpetRegrid2\n",
      "Activating thorn cartgrid3d...Success -> active implementation grid\n",
      "Activating thorn coordbase...Success -> active implementation CoordBase\n",
      "Activating thorn CycleClock...Success -> active implementation CycleClock\n",
      "Activating thorn hwloc...Success -> active implementation hwloc\n",
      "Activating thorn IOUtil...Success -> active implementation IO\n",
      "Activating thorn LoopControl...Success -> active implementation LoopControl\n",
      "Activating thorn MoL...Success -> active implementation MethodOfLines\n",
      "Activating thorn MPI...Success -> active implementation MPI\n",
      "Activating thorn SymBase...Success -> active implementation SymBase\n",
      "Activating thorn Time...Success -> active implementation time\n",
      "Activating thorn Timers...Success -> active implementation Timers\n",
      "Activating thorn Vectors...Success -> active implementation Vectors\n",
      "Activating thorn WaveToyET17...Success -> active implementation WaveToyET17\n",
      "Activating thorn zlib...Success -> active implementation zlib\n",
      "--------------------------------------------------------------------------------\n",
      "  if (recover initial data)\n",
      "    Recover parameters\n",
      "  endif\n",
      "\n",
      "  Startup routines\n",
      "    [CCTK_STARTUP]\n",
      "      Carpet::MultiModel_Startup: Multi-model Startup routine\n",
      "      CycleClock::CycleClock_Setup: Set up CycleClock\n",
      "      LoopControl::lc_setup: Set up LoopControl\n",
      "      Timers::Timer_Startup: Prepare hierarchical timers\n",
      "      CarpetReduce::CarpetReduceStartup: Startup routine\n",
      "      CartGrid3D::SymmetryStartup: Register GH Extension for GridSymmetry\n",
      "      CoordBase::CoordBase_Startup: Register a GH extension to store the coordinate system handles\n",
      "      Carpet::Driver_Startup: Startup routine\n",
      "      IOUtil::IOUtil_Startup: Startup routine\n",
      "      CarpetIOBasic::CarpetIOBasicStartup: [global] Startup routine\n",
      "      MoL::MoL_Startup: Startup banner\n",
      "      SymBase::SymBase_Startup: Register GH Extension for SymBase\n",
      "      CarpetIOASCII::CarpetIOASCIIStartup: [global] Startup routine\n",
      "      Vectors::Vectors_Startup: Print startup message\n",
      "\n",
      "  Startup routines which need an existing grid hierarchy\n",
      "    [CCTK_WRAGH]\n",
      "      CarpetRegrid2::CarpetRegrid2_Initialise: [global] Initialise locations of refined regions\n",
      "      CartGrid3D::RegisterCartGrid3DCoords: [meta] Register coordinates for the Cartesian grid\n",
      "      MoL::MoL_SetupIndexArrays: Set up the MoL bookkeeping index arrays\n",
      "      MoL::MoL_SetScheduleStatus: [global] Set the flag so it is ok to register with MoL\n",
      "      GROUP MoL_Register: The group where physics thorns register variables with MoL\n",
      "        WaveToyET17::wave_toy_registervars: Register funwave variables for MoL\n",
      "      MoL::MoL_ReportNumberVariables: [meta] Report how many of each type of variable there are\n",
      "      GROUP SymBase_Wrapper: Wrapper group for SymBase\n",
      "        GROUP SymmetryRegister: Register your symmetries here\n",
      "          CartGrid3D::RegisterSymmetryBoundaries: [meta] Register symmetry boundaries\n",
      "        SymBase::SymBase_Statistics: Print symmetry boundary face descriptions\n",
      "  Parameter checking routines\n",
      "    [CCTK_PARAMCHECK]\n",
      "      Carpet::CarpetParamCheck: Parameter checking routine\n",
      "      CarpetLib::CarpetLib_test_prolongate_3d_rf2: [global] Test prolongation operators\n",
      "      CarpetRegrid2::CarpetRegrid2_ParamCheck: Check parameters\n",
      "      CartGrid3D::ParamCheck_CartGrid3D: Check coordinates for CartGrid3D\n",
      "      MoL::MoL_ParamCheck: Basic parameter checking\n",
      "      Vectors::Vectors_Test: Run correctness tests.\n",
      "\n",
      "  Initialisation\n",
      "    if (NOT (recover initial data AND recovery_mode is 'strict'))\n",
      "      [CCTK_PREREGRIDINITIAL]\n",
      "      Set up grid hierarchy\n",
      "      [CCTK_POSTREGRIDINITIAL]\n",
      "        CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_INITIAL]\n",
      "        CarpetIOASCII::CarpetIOASCIIInit: [global] Initialisation routine\n",
      "        CarpetIOBasic::CarpetIOBasicInit: [global] Initialisation routine\n",
      "        MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "        WaveToyET17::init_wave_toy: initialize data\n",
      "      [CCTK_POSTINITIAL]\n",
      "        GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after the initial data have been set up\n",
      "        GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "      Initialise finer grids recursively\n",
      "      Restrict from finer grids\n",
      "      [CCTK_POSTRESTRICTINITIAL]\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "        GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "      [CCTK_POSTPOSTINITIAL]\n",
      "      [CCTK_POSTSTEP]\n",
      "    endif\n",
      "    if (recover initial data)\n",
      "      [CCTK_BASEGRID]\n",
      "        CartGrid3D::SpatialSpacings: Set up ranges for spatial 3D Cartesian coordinates (on all grids)\n",
      "        CartGrid3D::SpatialCoordinates: Set up spatial 3D Cartesian coordinates on the GH\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        SymBase::SymBase_Check: Check whether the driver set up the grid consistently\n",
      "        Time::Time_Initialise: [global] Initialise Time variables\n",
      "        Time::TemporalSpacings: [singlemap] Set timestep based on Courant condition (courant_static)\n",
      "      [CCTK_RECOVER_VARIABLES]\n",
      "      [CCTK_POST_RECOVER_VARIABLES]\n",
      "        GROUP MaskBase_SetupMask: Set up the weight function\n",
      "          GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "            CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "            CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "            GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "              CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "              CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "            GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "            GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "            CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "        GROUP MoL_PostStep: Ensure that everything is correct after recovery\n",
      "    endif\n",
      "    if (checkpoint initial data)\n",
      "      [CCTK_CPINITIAL]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "        CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "        CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "        LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "  endif\n",
      "  Output grid variables\n",
      "\n",
      "  do loop over timesteps\n",
      "    [CCTK_PREREGRID]\n",
      "    Change grid hierarchy\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    Rotate timelevels\n",
      "    iteration = iteration+1\n",
      "    t = t+dt\n",
      "    [CCTK_PRESTEP]\n",
      "      LoopControl::lc_steer: [meta] Update LoopControl algorithm preferences\n",
      "    [CCTK_EVOL]\n",
      "      MoL::MoL_StartLoop: [level] Initialise the step size control\n",
      "      while (MoL::MoL_Stepsize_Bad)\n",
      "        GROUP MoL_Evolution: A single Cactus evolution step using MoL\n",
      "          GROUP MoL_StartStep: MoL internal setup for the evolution step\n",
      "            MoL::MoL_SetCounter: [level] Set the counter for the ODE method to loop over\n",
      "            MoL::MoL_SetTime: [level] Ensure the correct time and timestep are used\n",
      "            MoL::MoL_AllocateScratchSpace: [level] Allocate storage for scratch levels\n",
      "          GROUP MoL_PreStep: Physics thorns can schedule preloop setup routines in here\n",
      "          MoL::MoL_AllocateScratch: Allocate sufficient space for array scratch variables\n",
      "          MoL::MoL_InitialCopy: Ensure the data is in the correct timelevel\n",
      "          while (MoL::MoL_Intermediate_Step)\n",
      "            GROUP MoL_Step: The loop over the intermediate steps for the ODE integrator\n",
      "              MoL::MoL_InitRHS: Initialise the RHS functions\n",
      "              GROUP MoL_CalcRHS: Physics thorns schedule the calculation of the discrete spatial operator in here\n",
      "                WaveToyET17::evolve_wave_toy: evolve data\n",
      "              GROUP MoL_PostRHS: Modify RHS functions\n",
      "              GROUP MoL_RHSBoundaries: Any 'final' modifications to the RHS functions (boundaries etc.)\n",
      "              MoL::MoL_Add: Updates calculated with the efficient Runge-Kutta 3 method\n",
      "              MoL::MoL_DecrementCounter: [level] Alter the counter number\n",
      "              MoL::MoL_ResetTime: [level] If necessary, change the time\n",
      "              GROUP MoL_PostStepModify: The group for physics thorns to schedule enforcing constraints\n",
      "              GROUP MoL_PostStep: The group for physics thorns to schedule boundary calls etc.\n",
      "              MoL::MoL_ResetDeltaTime: [level] If necessary, change the timestep\n",
      "          end while\n",
      "          MoL::MoL_FinishLoop: [level] Control the step size\n",
      "          MoL::MoL_RestoreSandR: Restoring the Save and Restore variables to the original state\n",
      "          MoL::MoL_FreeScratchSpace: [level] Free storage for scratch levels\n",
      "      end while\n",
      "      GROUP MoL_PseudoEvolution: Calculate pseudo-evolved quantities\n",
      "    Evolve finer grids recursively\n",
      "    Restrict from finer grids\n",
      "    [CCTK_POSTRESTRICT]\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after restriction\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "    [CCTK_POSTSTEP]\n",
      "    if (checkpoint)\n",
      "      [CCTK_CHECKPOINT]\n",
      "    endif\n",
      "    if (analysis)\n",
      "      [CCTK_ANALYSIS]\n",
      "      CarpetLib::CarpetLib_printtimestats: [global] Print timing statistics if desired\n",
      "      CarpetLib::CarpetLib_printmemstats: [global] Print memory statistics if desired\n",
      "      LoopControl::lc_statistics_analysis: [meta] Output LoopControl statistics\n",
      "    endif\n",
      "    Output grid variables\n",
      "    enddo\n",
      "\n",
      "  Termination routines\n",
      "    [CCTK_TERMINATE]\n",
      "      LoopControl::lc_statistics_terminate: [meta] Output LoopControl statistics\n",
      "      MoL::MoL_FreeIndexArrays: Free the MoL bookkeeping index arrays\n",
      "\n",
      "  Shutdown routines\n",
      "    [CCTK_SHUTDOWN]\n",
      "      Timers::Timer_Shutdown: Prepare hierarchical timers\n",
      "\n",
      "  Routines run after changing the grid hierarchy:\n",
      "    [CCTK_POSTREGRID]\n",
      "      CartGrid3D::SpatialCoordinates: Set Coordinates after regridding\n",
      "      GROUP MaskBase_SetupMask: Set up the weight function\n",
      "        GROUP MaskBase_SetupMaskAll: Set up the weight function\n",
      "          CarpetReduce::MaskBase_AllocateMask: [global] Allocate the weight function\n",
      "          CarpetReduce::MaskBase_InitMask: [global] [loop-local] Initialise the weight function\n",
      "          GROUP SetupIMaskInternal: Set up the integer weight function (schedule other routines in here)\n",
      "            CarpetReduce::CoordBase_SetupMask: [global] [loop-local] Set up the outer boundaries of the weight function\n",
      "            CarpetReduce::CarpetMaskSetup: [global] [loop-singlemap] Set up the weight function for the restriction regions\n",
      "          GROUP SetupIMask: Set up the integer weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_SetMask: [global] [loop-local] Set the weight function\n",
      "          GROUP SetupMask: Set up the real weight function (schedule other routines in here)\n",
      "          CarpetReduce::MaskBase_TestMask: [global] Test the weight function\n",
      "      GROUP MoL_PostStep: Ensure that everything is correct after regridding\n",
      "      GROUP MoL_PseudoEvolutionBoundaries: Apply boundary conditions to pseudo-evolved quantities\n",
      "--------------------------------------------------------------------------------\n",
      "INFO (Carpet): Multi-Model listing:\n",
      "   model 0: \"world\"\n",
      "INFO (Carpet): Multi-Model process distribution:\n",
      "   processes 0-1: model 0 \"world\"\n",
      "INFO (Carpet): Multi-Model: This is process 0, model 0 \"world\"\n",
      "INFO (CarpetLib): Process startup time was 0.777 seconds\n",
      "Current core file size limit: hard=[unlimited], soft=0 MB\n",
      "Current memory size limit: hard=[unlimited], soft=[unlimited]\n",
      "INFO (CycleClock): Measuring CycleClock tick via gettimeofday...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO (CycleClock): Calibrated CycleClock: 0.454548 ns per clock tick (2.19999 GHz)\n",
      "INFO (Vectors): Using vector size 1 for architecture scalar (no vectorisation, 64-bit precision)\n",
      "--------------------------------------------------------------------------------\n",
      "AMR driver provided by Carpet\n",
      "--------------------------------------------------------------------------------\n",
      "AMR info I/O provided by CarpetIOBasic\n",
      "--------------------------------------------------------------------------------\n",
      "MoL: Generalized time integration.\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 0D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 1D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 2D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "AMR 3D ASCII I/O provided by CarpetIOASCII\n",
      "--------------------------------------------------------------------------------\n",
      "\n",
      "INFO (Carpet): MPI is enabled\n",
      "INFO (Carpet): Carpet is running on 2 processes\n",
      "INFO (Carpet): This is process 0\n",
      "WARNING[L1,P1] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "INFO (Carpet): OpenMP is disabled\n",
      "WARNING[L1,P0] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "WARNING[L1,P0] (Carpet): Although OpenMP is disabled, the environment variable OMP_NUM_THREADS is set to 1. It will be ignored.\n",
      "INFO (Carpet): This process runs on host melete05.cct.lsu.edu, pid=92558\n",
      "INFO (Carpet): This process runs on 80 cores: 0-79\n",
      "INFO (Carpet): Thread 0 runs on 80 cores: 0-79\n",
      "INFO (Carpet): This simulation is running in 3 dimensions\n",
      "INFO (Carpet): Boundary specification for map 0:\n",
      "   nboundaryzones: [[1,1,0],[1,1,0]]\n",
      "   is_internal   : [[0,0,0],[0,0,0]]\n",
      "   is_staggered  : [[0,0,0],[0,0,0]]\n",
      "   shiftout      : [[0,0,1],[0,0,1]]\n",
      "INFO (Carpet): CoordBase domain specification for map 0:\n",
      "   physical extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent: [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent: [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   base_spacing   : [0.25,0.25,1]\n",
      "INFO (Carpet): Adapted domain specification for map 0:\n",
      "   convergence factor: 2\n",
      "   convergence level : 0\n",
      "   physical extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   interior extent   : [0.25,0.25,0] : [29.75,29.75,0]   ([29.5,29.5,0])\n",
      "   exterior extent   : [0,0,0] : [30,30,0]   ([30,30,0])\n",
      "   spacing           : [0.25,0.25,1]\n",
      "INFO (Carpet): Base grid specification for map 0:\n",
      "   number of grid points             : [121,121,1]\n",
      "   number of coarse grid ghost points: [[1,1,1],[1,1,1]]\n",
      "INFO (Carpet): Buffer zone counts (excluding ghosts):\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "   [1]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Overlap zone counts:\n",
      "   [0]: [[0,0,0],[0,0,0]]\n",
      "   [1]: [[0,0,0],[0,0,0]]\n",
      "INFO (Carpet): Group and variable statistics:\n",
      "INFO (Carpet):    There are 216 grid functions in 13 groups\n",
      "INFO (Carpet):    There are 162 grid scalars in 22 groups\n",
      "INFO (Carpet):    There are 81 1-dimensional grid arrays in 7 groups\n",
      "INFO (Carpet):    There are 1 2-dimensional grid arrays in 1 groups\n",
      "INFO (Carpet):    There are 0 3-dimensional grid arrays in 0 groups\n",
      "INFO (Carpet):    (The number of variables counts all time levels)\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_0D' registered: 0D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_1D' registered: 1D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_2D' registered: 2D AMR output of grid variables to ASCII files\n",
      "INFO (CarpetIOASCII): Periodic 2D AMR output requested for:\n",
      "   WAVETOYET17::psi\n",
      "   WAVETOYET17::phi\n",
      "INFO (CarpetIOASCII): I/O Method 'IOASCII_3D' registered: 3D AMR output of grid variables to ASCII files\n",
      "INFO (MoL): Using Runge-Kutta 3 as the time integrator.\n",
      "INFO (MoL): The maximum number of evolved variables is 260. 2 are registered.\n",
      "INFO (MoL): The maximum number of slow evolved variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum number of evolved array variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum number of constrained array variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum number of SandR array variables is 260. 0 are registered.\n",
      "INFO (MoL): The maximum size of any array variables is 0.\n",
      "INFO (Vectors): Testing vectorisation... [errors may result in segfaults]\n",
      "INFO (Vectors): 93/93 tests passed \n",
      "INFO (CarpetRegrid2): Enforcing grid structure properties, iteration 0\n",
      "INFO (CarpetRegrid2): Enforcing grid structure properties, iteration 1\n",
      "INFO (Carpet): Grid structure (superregions, grid points):\n",
      "   [0][0][0]   exterior: [0,0,0] : [120,120,0]   ([121,121,1] + PADDING) 14641\n",
      "   [1][0][0]   exterior: [0,0,0] : [128,128,0]   ([129,129,1] + PADDING) 16641\n",
      "INFO (Carpet): Grid structure (superregions, coordinates):\n",
      "   [0][0][0]   exterior: [0.000000000000000,0.000000000000000,-nan] : [30.000000000000000,30.000000000000000,-nan] : [0.250000000000000,0.250000000000000,-nan]\n",
      "   [1][0][0]   exterior: [0.000000000000000,0.000000000000000,-nan] : [16.000000000000000,16.000000000000000,-nan] : [0.125000000000000,0.125000000000000,-nan]\n",
      "INFO (Carpet): There are not enough time levels for the desired temporal prolongation order in the grid function group \"WAVETOYET17::RHS_GROUP\".  With Carpet::prolongation_order_time=1, you need at least 2 time levels.\n",
      "INFO (Carpet): Global grid structure statistics:\n",
      "INFO (Carpet): GF: rhs: 16k active, 16k owned (+0%), 16k total (+5%), 3 steps/time\n",
      "INFO (Carpet): GF: vars: 13, pts: 0M active, 0M owned (+0%), 0M total (+5%), 1.0 comp/proc\n",
      "INFO (Carpet): GA: vars: 239, pts: 0M active, 0M total (+0%)\n",
      "INFO (Carpet): Total required memory: 0.003 GByte (for GAs and currently active GFs)\n",
      "INFO (Carpet): Load balance:  min     avg     max     sdv     max/avg-1\n",
      "INFO (Carpet): Level  0:       0M      0M      0M      0M owned      1%\n",
      "INFO (Carpet): Level  1:       0M      0M      0M      0M owned      0%\n",
      "INFO (CartGrid3D): Grid Spacings:\n",
      "INFO (CartGrid3D): dx=>2.5000000e-01  dy=>2.5000000e-01  dz=>1.0000000e+00\n",
      "INFO (CartGrid3D): Computational Coordinates:\n",
      "INFO (CartGrid3D): x=>[ 0.000,30.000]  y=>[ 0.000,30.000]  z=>[ 0.000, 0.000]\n",
      "INFO (CartGrid3D): Indices of Physical Coordinates:\n",
      "INFO (CartGrid3D): x=>[0,120]  y=>[0,120]  z=>[0,0]\n",
      "INFO (CarpetReduce): Simulation domain volume:  0\n",
      "INFO (CarpetReduce): Additional excised volume: 0\n",
      "INFO (CarpetReduce): Reduction weight sum:      16448\n",
      "WARNING[L1,P0] (CarpetReduce): Simulation domain volume and reduction weight sum differ\n",
      "WARNING[L1,P0] (CarpetReduce): Simulation domain volume and reduction weight sum differ\n",
      "INFO (Time): Timestep set to 0.05 (courant_static)\n",
      "INFO (Time): Timestep set to 0.025 (courant_static)\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "        0     0.000 |    0.0000000    1.0000000 |    0.0000000    0.0000000\n",
      "        1     0.025 |    0.0000000    0.9987597 |   -0.0991414    0.0134484\n",
      "        2     0.050 |    0.0000000    0.9950460 |   -0.1977949    0.0268298\n",
      "        3     0.075 |    0.0000000    0.9888771 |   -0.2954766    0.0400810\n",
      "        4     0.100 |    0.0000000    0.9802832 |   -0.3917096    0.0531363\n",
      "        5     0.125 |    0.0000000    0.9693066 |   -0.4860275    0.0659310\n",
      "        6     0.150 |    0.0000000    0.9560006 |   -0.5779779    0.0784013\n",
      "        7     0.175 |    0.0000000    0.9404301 |   -0.6671258    0.0904842\n",
      "        8     0.200 |    0.0000000    0.9226703 |   -0.7530559    0.1021176\n",
      "        9     0.225 |    0.0000000    0.9028066 |   -0.8353766    0.1132408\n",
      "       10     0.250 |    0.0000000    0.8809338 |   -0.9137216    0.1237943\n",
      "       11     0.275 |    0.0000000    0.8571557 |   -0.9877528    0.1339012\n",
      "       12     0.300 |    0.0000000    0.8315840 |   -1.0571627    0.1434627\n",
      "       13     0.325 |    0.0000000    0.8043378 |   -1.1216757    0.1523575\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       14     0.350 |    0.0000000    0.7755426 |   -1.1810500    0.1607963\n",
      "       15     0.375 |    0.0000000    0.7453294 |   -1.2350787    0.1686087\n",
      "       16     0.400 |    0.0000000    0.7138342 |   -1.2835910    0.1756801\n",
      "       17     0.425 |    0.0000000    0.6811967 |   -1.3264526    0.1819682\n",
      "       18     0.450 |    0.0000000    0.6475593 |   -1.3635660    0.1875357\n",
      "       19     0.475 |    0.0000000    0.6130666 |   -1.3948707    0.1925037\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       20     0.500 |    0.0000000    0.5778643 |   -1.4203425    0.1968608\n",
      "       21     0.525 |    0.0000000    0.5420980 |   -1.4399933    0.2006060\n",
      "       22     0.550 |    0.0000000    0.5059128 |   -1.4538701    0.2037830\n",
      "       23     0.575 |    0.0000000    0.4694521 |   -1.4620534    0.2065523\n",
      "       24     0.600 |    0.0000000    0.4328788 |   -1.4646564    0.2086325\n",
      "       25     0.625 |    0.0000000    0.4009672 |   -1.4618228    0.2106402\n",
      "       26     0.650 |    0.0000000    0.3757788 |   -1.4537253    0.2119126\n",
      "       27     0.675 |    0.0000000    0.3555330 |   -1.4405632    0.2127765\n",
      "       28     0.700 |    0.0000000    0.3390692 |   -1.4225604    0.2135042\n",
      "       29     0.725 |    0.0000000    0.3254247 |   -1.3999627    0.2138732\n",
      "       30     0.750 |    0.0000000    0.3141602 |   -1.3730358    0.2138354\n",
      "       31     0.775 |    0.0000000    0.3046023 |   -1.3420624    0.2137807\n",
      "       32     0.800 |    0.0000000    0.2965405 |   -1.3073395    0.2135137\n",
      "       33     0.825 |    0.0000000    0.2895314 |   -1.2691759    0.2130365\n",
      "       34     0.850 |    0.0000000    0.2834941 |   -1.2278897    0.2123199\n",
      "       35     0.875 |    0.0000000    0.2782614 |   -1.1841010    0.2112189\n",
      "       36     0.900 |    0.0000000    0.2735998 |   -1.1372505    0.2107887\n",
      "       37     0.925 |    0.0000000    0.2694370 |   -1.0891731    0.2098364\n",
      "       38     0.950 |   -0.0262233    0.2657398 |   -1.0380488    0.2086609\n",
      "       39     0.975 |   -0.0515270    0.2623932 |   -0.9869456    0.2076366\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       40     1.000 |   -0.0755156    0.2593232 |   -0.9328945    0.2068731\n",
      "       41     1.025 |   -0.0981640    0.2565059 |   -0.8799896    0.2056276\n",
      "       42     1.050 |   -0.1194543    0.2538938 |   -0.8243096    0.2043219\n",
      "       43     1.075 |   -0.1393766    0.2512274 |   -0.7707575    0.2035147\n",
      "       44     1.100 |   -0.1579278    0.2491582 |   -0.7206494    0.2024661\n",
      "       45     1.125 |   -0.1751116    0.2469788 |   -0.6801285    0.2011474\n",
      "       46     1.150 |   -0.1909382    0.2448652 |   -0.6460357    0.2000300\n",
      "       47     1.175 |   -0.2054238    0.2428360 |   -0.6168031    0.1993065\n",
      "       48     1.200 |   -0.2185901    0.2410471 |   -0.5923768    0.1980596\n",
      "       49     1.225 |   -0.2304640    0.2391140 |   -0.5714021    0.1967714\n",
      "       50     1.250 |   -0.2410773    0.2373256 |   -0.5531475    0.1960296\n",
      "       51     1.275 |   -0.2504657    0.2357720 |   -0.5374070    0.1950684\n",
      "       52     1.300 |   -0.2586690    0.2339573 |   -0.5235617    0.1938351\n",
      "       53     1.325 |   -0.2657301    0.2322888 |   -0.5114143    0.1927815\n",
      "       54     1.350 |   -0.2716950    0.2308581 |   -0.5006188    0.1921465\n",
      "       55     1.375 |   -0.2766119    0.2292988 |   -0.4908728    0.1910007\n",
      "       56     1.400 |   -0.2805311    0.2276125 |   -0.4825052    0.1897942\n",
      "       57     1.425 |   -0.2835044    0.2262498 |   -0.4745376    0.1891537\n",
      "       58     1.450 |   -0.2855846    0.2249370 |   -0.4671235    0.1882910\n",
      "       59     1.475 |   -0.2868255    0.2234118 |   -0.4609711    0.1871695\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       60     1.500 |   -0.2872811    0.2218420 |   -0.4543573    0.1861925\n",
      "       61     1.525 |   -0.2870054    0.2207659 |   -0.4488701    0.1856449\n",
      "       62     1.550 |   -0.2860522    0.2193896 |   -0.4440318    0.1846006\n",
      "       63     1.575 |   -0.2844747    0.2179543 |   -0.4388214    0.1835207\n",
      "       64     1.600 |   -0.2823250    0.2167677 |   -0.4335788    0.1829210\n",
      "       65     1.625 |   -0.2796542    0.2155790 |   -0.4298897    0.1821496\n",
      "       66     1.650 |   -0.2765122    0.2142430 |   -0.4253065    0.1811249\n",
      "       67     1.675 |   -0.2729472    0.2128504 |   -0.4210033    0.1802123\n",
      "       68     1.700 |   -0.2690056    0.2119339 |   -0.4173543    0.1797441\n",
      "       69     1.725 |   -0.2647320    0.2106956 |   -0.4135214    0.1787895\n",
      "       70     1.750 |   -0.2601690    0.2094356 |   -0.4094956    0.1877598\n",
      "       71     1.775 |   -0.2553573    0.2084017 |   -0.4061049    0.1969291\n",
      "       72     1.800 |   -0.2503352    0.2073229 |   -0.4029778    0.2046067\n",
      "       73     1.825 |   -0.2451388    0.2061241 |   -0.3990892    0.2108818\n",
      "       74     1.850 |   -0.2398022    0.2049223 |   -0.3956876    0.2158443\n",
      "       75     1.875 |   -0.2343570    0.2040905 |   -0.3931077    0.2195845\n",
      "       76     1.900 |   -0.2288326    0.2029651 |   -0.3898094    0.2221920\n",
      "       77     1.925 |   -0.2232563    0.2018370 |   -0.3862559    0.2237555\n",
      "       78     1.950 |   -0.2176530    0.2009370 |   -0.3838559    0.2243619\n",
      "       79     1.975 |   -0.2122296    0.1999560 |   -0.3810967    0.2240961\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "       80     2.000 |   -0.2071889    0.1988636 |   -0.3779890    0.2230405\n",
      "       81     2.025 |   -0.2025567    0.1978022 |   -0.3748135    0.2213073\n",
      "       82     2.050 |   -0.1982110    0.1970603 |   -0.3728858    0.2188742\n",
      "       83     2.075 |   -0.1941236    0.1960300 |   -0.3701150    0.2159829\n",
      "       84     2.100 |   -0.1903176    0.1950050 |   -0.3672835    0.2124588\n",
      "       85     2.125 |   -0.1866858    0.1942210 |   -0.3650145    0.2086759\n",
      "       86     2.150 |   -0.1833358    0.1933250 |   -0.3626827    0.2043322\n",
      "       87     2.175 |   -0.1801381    0.1923207 |   -0.3601998    0.1998949\n",
      "       88     2.200 |   -0.1771302    0.1913709 |   -0.3576672    0.1949705\n",
      "       89     2.225 |   -0.1742223    0.1907113 |   -0.3557723    0.1900857\n",
      "       90     2.250 |   -0.1715486    0.1897629 |   -0.3541348    0.1847867\n",
      "       91     2.275 |   -0.1689210    0.1888203 |   -0.3523224    0.1796312\n",
      "       92     2.300 |   -0.1664329    0.1881358 |   -0.3504968    0.1741313\n",
      "       93     2.325 |   -0.1641017    0.1873149 |   -0.3488668    0.1688530\n",
      "       94     2.350 |   -0.1617592    0.1863849 |   -0.3485229    0.1634198\n",
      "       95     2.375 |   -0.1596475    0.1855377 |   -0.3472014    0.1608904\n",
      "       96     2.400 |   -0.1575691    0.1849397 |   -0.3456717    0.1606570\n",
      "       97     2.425 |   -0.1555528    0.1840628 |   -0.3441440    0.1599730\n",
      "       98     2.450 |   -0.1536616    0.1831882 |   -0.3443028    0.1592566\n",
      "       99     2.475 |   -0.1518054    0.1825881 |   -0.3442074    0.1587958\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      100     2.500 |   -0.1500153    0.1818341 |   -0.3431419    0.1583780\n",
      "      101     2.525 |   -0.1482917    0.1809683 |   -0.3418190    0.1576637\n",
      "      102     2.550 |   -0.1466428    0.1802046 |   -0.3406040    0.1569611\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      103     2.575 |   -0.1450491    0.1796627 |   -0.3415604    0.1567411\n",
      "      104     2.600 |   -0.1435529    0.1788493 |   -0.3415030    0.1561103\n",
      "      105     2.625 |   -0.1421511    0.1780319 |   -0.3404771    0.1554394\n",
      "      106     2.650 |   -0.1407188    0.1775027 |   -0.3392415    0.1549893\n",
      "      107     2.675 |   -0.1393461    0.1768092 |   -0.3379919    0.1546277\n",
      "      108     2.700 |   -0.1381461    0.1759997 |   -0.3375777    0.1539568\n",
      "      109     2.725 |   -0.1370500    0.1753033 |   -0.3371561    0.1532980\n",
      "      110     2.750 |   -0.1358324    0.1748131 |   -0.3359025    0.1530889\n",
      "      111     2.775 |   -0.1346419    0.1740567 |   -0.3344954    0.1525112\n",
      "      112     2.800 |   -0.1338350    0.1732884 |   -0.3331093    0.1518775\n",
      "      113     2.825 |   -0.1330689    0.1728183 |   -0.3318324    0.1514331\n",
      "      114     2.850 |   -0.1321374    0.1721798 |   -0.3306064    0.1511242\n",
      "      115     2.875 |   -0.1311271    0.1714354 |   -0.3291684    0.1504933\n",
      "      116     2.900 |   -0.1308236    0.1707783 |   -0.3278290    0.1498728\n",
      "      117     2.925 |   -0.1304160    0.1703357 |   -0.3266026    0.1496714\n",
      "      118     2.950 |   -0.1298388    0.1696310 |   -0.3250552    0.1491474\n",
      "      119     2.975 |   -0.1291778    0.1689289 |   -0.3239656    0.1485438\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      120     3.000 |   -0.1293357    0.1684845 |   -0.3224116    0.1481003\n",
      "      121     3.025 |   -0.1293038    0.1678965 |   -0.3212729    0.1478410\n",
      "      122     3.050 |   -0.1290954    0.1672120 |   -0.3199004    0.1472475\n",
      "      123     3.075 |   -0.1288591    0.1665832 |   -0.3186508    0.1466611\n",
      "      124     3.100 |   -0.1293809    0.1661850 |   -0.3174222    0.1464640\n",
      "      125     3.125 |   -0.1297012    0.1655313 |   -0.3163223    0.1459908\n",
      "      126     3.150 |   -0.1298314    0.1648868 |   -0.3150903    0.1454147\n",
      "      127     3.175 |   -0.1297833    0.1644593 |   -0.3133140    0.1449680\n",
      "      128     3.200 |   -0.1304745    0.1639179 |   -0.3129082    0.1447554\n",
      "      129     3.225 |   -0.1310535    0.1632837 |   -0.3116353    0.1441971\n",
      "      130     3.250 |   -0.1314210    0.1626795 |   -0.3097314    0.1436417\n",
      "      131     3.275 |   -0.1315874    0.1623227 |   -0.3094912    0.1434456\n",
      "      132     3.300 |   -0.1315629    0.1617158 |   -0.3083020    0.1430205\n",
      "      133     3.325 |   -0.1321335    0.1611182 |   -0.3061788    0.1424701\n",
      "      134     3.350 |   -0.1325694    0.1607072 |   -0.3060505    0.1420164\n",
      "      135     3.375 |   -0.1327765    0.1602092 |   -0.3050577    0.1418480\n",
      "      136     3.400 |   -0.1327645    0.1596181 |   -0.3031331    0.1413231\n",
      "      137     3.425 |   -0.1325435    0.1590346 |   -0.3025287    0.1407962\n",
      "      138     3.450 |   -0.1321234    0.1587165 |   -0.3018347    0.1405977\n",
      "      139     3.475 |   -0.1316216    0.1581512 |   -0.3002099    0.1402184\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      140     3.500 |   -0.1314434    0.1575941 |   -0.2988429    0.1396923\n",
      "      141     3.525 |   -0.1310334    0.1571985 |   -0.2985406    0.1392280\n",
      "      142     3.550 |   -0.1304124    0.1567409 |   -0.2973080    0.1391016\n",
      "      143     3.575 |   -0.1297465    0.1561872 |   -0.2951595    0.1386089\n",
      "      144     3.600 |   -0.1290776    0.1556394 |   -0.2950666    0.1381086\n",
      "      145     3.625 |   -0.1284282    0.1553391 |   -0.2943106    0.1379037\n",
      "      146     3.650 |   -0.1278572    0.1548113 |   -0.2926898    0.1375685\n",
      "      147     3.675 |   -0.1272943    0.1542895 |   -0.2912951    0.1370660\n",
      "      148     3.700 |   -0.1268163    0.1539075 |   -0.2910919    0.1365871\n",
      "      149     3.725 |   -0.1262639    0.1534880 |   -0.2899704    0.1365004\n",
      "      150     3.750 |   -0.1257670    0.1529673 |   -0.2889472    0.1360396\n",
      "      151     3.775 |   -0.1252618    0.1524549 |   -0.2875225    0.1355646\n",
      "      152     3.800 |   -0.1246851    0.1521669 |   -0.2870228    0.1353462\n",
      "      153     3.825 |   -0.1242635    0.1516732 |   -0.2863890    0.1350558\n",
      "      154     3.850 |   -0.1236422    0.1511828 |   -0.2852830    0.1345774\n",
      "      155     3.875 |   -0.1232282    0.1508120 |   -0.2836594    0.1341072\n",
      "      156     3.900 |   -0.1227196    0.1504286 |   -0.2831678    0.1340272\n",
      "      157     3.925 |   -0.1221008    0.1499375 |   -0.2828796    0.1336021\n",
      "      158     3.950 |   -0.1217410    0.1494560 |   -0.2817202    0.1331515\n",
      "      159     3.975 |   -0.1211753    0.1491792 |   -0.2797709    0.1329009\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      160     4.000 |   -0.1206395    0.1487173 |   -0.2797420    0.1326630\n",
      "      161     4.025 |   -0.1202497    0.1482552 |   -0.2794480    0.1322141\n",
      "      162     4.050 |   -0.1196541    0.1478917 |   -0.2782891    0.1317652\n",
      "      163     4.075 |   -0.1191610    0.1475434 |   -0.2766344    0.1316560\n",
      "      164     4.100 |   -0.1187677    0.1470798 |   -0.2764069    0.1312828\n",
      "      165     4.125 |   -0.1182720    0.1466255 |   -0.2761641    0.1308575\n",
      "      166     4.150 |   -0.1177782    0.1463567 |   -0.2750637    0.1305287\n",
      "      167     4.175 |   -0.1173548    0.1459263 |   -0.2740935    0.1303618\n",
      "      168     4.200 |   -0.1171117    0.1454901 |   -0.2733264    0.1299627\n",
      "      169     4.225 |   -0.1166755    0.1451253 |   -0.2737536    0.1295364\n",
      "      170     4.250 |   -0.1160832    0.1448142 |   -0.2790722    0.1293392\n",
      "      171     4.275 |   -0.1159237    0.1443781 |   -0.2839025    0.1290635\n",
      "      172     4.300 |   -0.1155650    0.1439484 |   -0.2880609    0.1286694\n",
      "      173     4.325 |   -0.1150161    0.1436782 |   -0.2919934    0.1282518\n",
      "      174     4.350 |   -0.1146863    0.1432843 |   -0.2988885    0.1281272\n",
      "      175     4.375 |   -0.1144253    0.1428726 |   -0.3050799    0.1278043\n",
      "      176     4.400 |   -0.1139673    0.1424819 |   -0.3105498    0.1274075\n",
      "      177     4.425 |   -0.1133765    0.1422189 |   -0.3152834    0.1270940\n",
      "      178     4.450 |   -0.1132341    0.1418174 |   -0.3211124    0.1269103\n",
      "      179     4.475 |   -0.1128876    0.1414109 |   -0.3277526    0.1265670\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      180     4.500 |   -0.1123463    0.1411100 |   -0.3335486    0.1261788\n",
      "      181     4.525 |   -0.1119722    0.1407744 |   -0.3384739    0.1259255\n",
      "      182     4.550 |   -0.1117592    0.1403886 |   -0.3425056    0.1257014\n",
      "      183     4.575 |   -0.1113440    0.1399915 |   -0.3456242    0.1253572\n",
      "      184     4.600 |   -0.1110116    0.1397265 |   -0.3478140    0.1249825\n",
      "      185     4.625 |   -0.1107329    0.1393810 |   -0.3490633    0.1247464\n",
      "      186     4.650 |   -0.1103146    0.1389994 |   -0.3510496    0.1245096\n",
      "      187     4.675 |   -0.1101345    0.1386422 |   -0.3523771    0.1241770\n",
      "      188     4.700 |   -0.1100394    0.1383733 |   -0.3526344    0.1238159\n",
      "      189     4.725 |   -0.1097590    0.1380212 |   -0.3523662    0.1235697\n",
      "      190     4.750 |   -0.1093263    0.1376492 |   -0.3528790    0.1233407\n",
      "      191     4.775 |   -0.1094612    0.1373341 |   -0.3543873    0.1230266\n",
      "      192     4.800 |   -0.1094055    0.1370443 |   -0.3559544    0.1226747\n",
      "      193     4.825 |   -0.1121399    0.1366971 |   -0.3578132    0.1224126\n",
      "      194     4.850 |   -0.1166069    0.1363357 |   -0.3596486    0.1221977\n",
      "      195     4.875 |   -0.1221185    0.1360371 |   -0.3610133    0.1219038\n",
      "      196     4.900 |   -0.1276681    0.1357443 |   -0.3627589    0.1215535\n",
      "      197     4.925 |   -0.1330301    0.1354085 |   -0.3636232    0.1212910\n",
      "      198     4.950 |   -0.1391531    0.1350554 |   -0.3646883    0.1210813\n",
      "      199     4.975 |   -0.1452404    0.1347589 |   -0.3650070    0.1208054\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      200     5.000 |   -0.1510765    0.1344758 |   -0.3646328    0.1204462\n",
      "      201     5.025 |   -0.1566511    0.1341540 |   -0.3643412    0.1201810\n",
      "      202     5.050 |   -0.1619546    0.1338039 |   -0.3629528    0.1199903\n",
      "      203     5.075 |   -0.1669780    0.1335049 |   -0.3607733    0.1197267\n",
      "      204     5.100 |   -0.1717131    0.1332393 |   -0.3586941    0.1193463\n",
      "      205     5.125 |   -0.1765785    0.1329305 |   -0.3554863    0.1190811\n",
      "      206     5.150 |   -0.1811491    0.1325760 |   -0.3511510    0.1189219\n",
      "      207     5.175 |   -0.1853390    0.1322778 |   -0.3469839    0.1186622\n",
      "      208     5.200 |   -0.1891397    0.1320338 |   -0.3421032    0.1182647\n",
      "      209     5.225 |   -0.1925438    0.1317344 |   -0.3380266    0.1180560\n",
      "      210     5.250 |   -0.1955452    0.1313661 |   -0.3371976    0.1178725\n",
      "      211     5.275 |   -0.1981827    0.1310919 |   -0.3366306    0.1176061\n",
      "      212     5.300 |   -0.2004120    0.1308570 |   -0.3361174    0.1172862\n",
      "      213     5.325 |   -0.2022300    0.1305611 |   -0.3350319    0.1170512\n",
      "      214     5.350 |   -0.2037118    0.1302123 |   -0.3349326    0.1168374\n",
      "      215     5.375 |   -0.2050141    0.1299616 |   -0.3338066    0.1165520\n",
      "      216     5.400 |   -0.2066800    0.1297057 |   -0.3335780    0.1163181\n",
      "      217     5.425 |   -0.2089213    0.1294056 |   -0.3329669    0.1160391\n",
      "      218     5.450 |   -0.2111567    0.1291118 |   -0.3320131    0.1158112\n",
      "      219     5.475 |   -0.2132132    0.1288435 |   -0.3320239    0.1154936\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      220     5.500 |   -0.2152434    0.1285760 |   -0.3310082    0.1153531\n",
      "      221     5.525 |   -0.2169080    0.1282626 |   -0.3310005    0.1150122\n",
      "      222     5.550 |   -0.2185587    0.1280303 |   -0.3307318    0.1147892\n",
      "      223     5.575 |   -0.2198429    0.1277308 |   -0.3300156    0.1273736\n",
      "      224     5.600 |   -0.2207407    0.1274635 |   -0.3306300    0.1412146\n",
      "      225     5.625 |   -0.2215182    0.1271579 |   -0.3302348    0.1542440\n",
      "      226     5.650 |   -0.2219588    0.1269616 |   -0.3309672    0.1664195\n",
      "      227     5.675 |   -0.2219942    0.1266173 |   -0.3325761    0.1777043\n",
      "      228     5.700 |   -0.2216247    0.1264054 |   -0.3342922    0.1880672\n",
      "      229     5.725 |   -0.2209231    0.1261004 |   -0.3373211    0.1974829\n",
      "      230     5.750 |   -0.2200195    0.1258996 |   -0.3404317    0.2064809\n",
      "      231     5.775 |   -0.2187016    0.1255661 |   -0.3439888    0.2153613\n",
      "      232     5.800 |   -0.2169734    0.1253749 |   -0.3498305    0.2233252\n",
      "      233     5.825 |   -0.2148401    0.1250686 |   -0.3554022    0.2303619\n",
      "      234     5.850 |   -0.2123081    0.1248383 |   -0.3623308    0.2364649\n",
      "      235     5.875 |   -0.2094362    0.1245850 |   -0.3688918    0.2416327\n",
      "      236     5.900 |   -0.2063564    0.1243349 |   -0.3746672    0.2458683\n",
      "      237     5.925 |   -0.2031408    0.1240710 |   -0.3805363    0.2491788\n",
      "      238     5.950 |   -0.2000115    0.1237913 |   -0.3869638    0.2515761\n",
      "      239     5.975 |   -0.1965603    0.1236028 |   -0.3924821    0.2530760\n",
      "---------------------------------------------------------------------------\n",
      "Iteration      Time |          WAVETOYET17::psi |          WAVETOYET17::phi\n",
      "                    |      minimum      maximum |      minimum      maximum\n",
      "---------------------------------------------------------------------------\n",
      "      240     6.000 |   -0.1951493    0.1232792 |   -0.3970571    0.2536981\n",
      "      241     6.025 |   -0.1946787    0.1231154 |   -0.4006575    0.2534662\n",
      "      242     6.050 |   -0.1945326    0.1227268 |   -0.4032546    0.2561484\n",
      "      243     6.075 |   -0.1941738    0.1226133 |   -0.4052932    0.2646128\n",
      "      244     6.100 |   -0.1941739    0.1222973 |   -0.4073346    0.2728848\n",
      "      245     6.125 |   -0.1940431    0.1221408 |   -0.4090749    0.2801276\n",
      "      246     6.150 |   -0.1942634    0.1218476 |   -0.4106784    0.2864610\n",
      "      247     6.175 |   -0.1945523    0.1216243 |   -0.4109883    0.2925591\n",
      "      248     6.200 |   -0.1952665    0.1213907 |   -0.4099737    0.2975494\n",
      "      249     6.225 |   -0.1967320    0.1211418 |   -0.4076084    0.3021908\n",
      "      250     6.250 |   -0.1986602    0.1209567 |   -0.4038718    0.3067779\n",
      "--------------------------------------------------------------------------------\n",
      "Done.\n",
      "+ echo Stopping:\n",
      "Stopping:\n",
      "+ date\n",
      "Thu Jul 27 11:24:59 CDT 2017\n",
      "Thu Jul 27 11:24:59 CDT 2017\n",
      "Simfactory Done at date: 0\n"
     ]
    }
   ],
   "source": [
    "!rm -fr ../simulations/wave_toy2\n",
    "!./simfactory/bin/sim create-run wave_toy2.par --procs=2 --num-threads=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "file_data = np.genfromtxt(\"../simulations/wave_toy2/output-0000/wave_toy2/psi.xy.asc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sets= [   0.   25.   50.   75.  100.  125.  150.  175.  200.  225.  250.]\n",
      "time= 0.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9463c249b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9462d099b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 25.0\n",
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94628275c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 50.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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erxS8PC+rWbhzW8W8U/YQz38IONQs3HM42CzcfeW2DtYAPTWJN56cBMBYHYumvgLAA9Us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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9465595630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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htSFFpHhoAenCcgoOyrbQohx8Pp1NKetAQwWRQ5aCEKJd9Jy6Dx1JW5+y8Uld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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9461e04da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 75.0\n",
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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I1zRsXHET3BwHXOXSONpPsSaci7NCzoQ5fttwDTN9FagwDTnk6jlMTgYrQbqY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\nGIaR4v8D2C7gz0Dm1nsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9462d0b8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 100.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9462cf4fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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LaxdaQ+3CaNLvJB60Eb47cyOqFlMKhmFkGJxKIRAXKoUp1YYWxBIA2iYnE6smox7npunH\nsP+W7RNzFQLAN2uioKLGEa7jN6y6+dsAbFzsI42Ns+G1e3zcYAZ/B8DPr7+LaUt97/1TVQXTfqXH\n6iAanJBzjUE+TAQu8CVY22f7x4VvwcybvH//8dt8HKH5gv/Giiu+7m+Pxhma6jXSuOQ3rJz1QSAd\nR/HNOrhBGxArhi3h9Bp7mNKUFmVNWuHv4Z9p5HNV2+TkXiexhaFQG6a1jmMLFleoegaXUSjlNihx\nPj/Mujy247jIbdCwelOqajfkDGoKhNx9w06SwGTiMtz8bfaqMaid5N/7UXszM0d+FoD/2Oznev7p\nH3UyLayOsUEfQyHEQYBRmXO+ywyGZaaAB+hMJmyeplmIn86C7bdeBcDnm7w7ctKMF9l6j58tqrHV\nN7h+t07rDrBEXYkZahyaYZYanuX7i68/3Jv6GmgIQcq1/h7OO+Av4v6OL/KC3uvYjQg2wdyIwYW5\nD4ZhZBhcSiGQtwisLsDQStZtAL8mQ+w2gB8fsE4/WqoWIZQGsAjuPuDTjiGouHHxokQh3NT+GgDL\nGt7iLx8ZAsDq4CJcS6QMvCp4ipuSprdyZuby2pjAFPYWXPJTyXioM+/wqoC1nYlqOHBjJwDzfzWE\nmZ/10zwvb/FtWjrpD3x7dy+iSRevqd/sr2X2ok8w98f+GDtLpCnX1bQzRRXFSD1n7Eas0nsduxGN\nYVGMMFjK3IhBgSkFwzAylKUUROSrwF8ADl/tPhc4CT8+cCTwNHClc+7dMtvZNVGAEXw8ISwBn0lD\nRrEE8O5t3gQpIbA4R18nYwCaL0sq+RZt8kHDxtk+hgBeIQD85SOnszrED7RgicdHJcogqII27+Hz\nLJJ7Wc/ysczru/kYZ+Ayx6g/+FSqGp7xSmH1rcAjPoq4TBVDfUuztncGrRp8nLPZH2t282WM3OhT\njXOiNOUzqhQC7QegLcRXcmILSXpS7/2u6c10hPRkCC4ULnlvVCW9VgoicjLwFWCqc+4MYAj+J3cL\n8C3n3KnAW8AX+qKhhmFUhnJjCkOBD4rIIeBDwKvA+cB/1vfvBP4WQui/j4kyD8FF3fsSyaKvoYOa\nxGOpPxuVQOcVKoXJR5IJTnVegetYz+9tuQCAFaEu+Z6zk0xDEkd4koxCAB8/WMtsoFgZ7Ov51YJ+\nNqiIoDYAznxcFcPCTq8WIFEMM088DIC752xWfN2PqVil13Ldxf/Eymu9UmjQCWUm1sBzGluJYwut\nWtDUENa10Hs6qfkxasMISr33e1+C1lDmHRo5mb5d+MLoF3ptFJxzr4jIbcBLwG+Ah/HuwtvOuTCQ\nthM4uexW5qUiA1GAEXQRWA16naG1CdCc+ANvRtWLhcRVi8ksRDoD0ara37JRc/Dhd13H9iTtmAQV\nF5IYg9X4H1YbExJjUMoInJqzbV8Xz0NDgrEJLsX8x6fDQnUl7vd7PdD8Ud/eqS+z8xTfjrucv5am\n2t+ysuMyvebUjWhXNyp2I8I9C/dw5Bzd0Nyc3OuH9d6/tHcGraeq21IYcIyZiKUlq4xy3IfjgUvw\nfe8f4pehv+AIPj9fRHaIyI43etsIwzD6nHLch88Czzvn3gAQkfuBc4ARIjJU1cIo4JW8DzvnVgOr\nwQ+d7tEZc1KRHQVXcGjX+QzRAGN90A81B5OFXYN6jYOMIQ05sSY6dOQ2AIx/6IM0qlD4kRYW/fz6\nu/jpH3Vm9o+DinEwsbCXz1MFeZRSD/4xuCP+XE9xU+pKfMO37Ye3+8dzrr+LH92mvXezTx0ue2gE\n152mBU3qRkxpSudwDG4EpPcsCTiG2aVrDlJ/wAc1h3T4L+nQrvNBlVX4jmzk5OCgnJTkS8BZIvIh\nERH8PEftwGPApbrP1cAD5TXRMIxKUk5M4UkRuQ94BngPb/NXAw8BG0XkG7rt+33R0Fxq06e7oqRn\ncGHDMvFMIRNgBB9kLBznUEc06aou434HxwJwz6kkox7DiMdpSyUtX9bipLygYqwSCnv+kGaMmcLe\nTBAxEI4XjrEvc2zRZsxOtpy51pdAT9OxGtOWXsViHSNxoTp6yx1code4Uq955M6D1GmhUhgD8fbu\n6UkhU17Asb7Z3+vRYek5ou9EU5PUYmnJQUBZ2Qfn3NeArxVsfg74ZDnHPRIyWQeA1mnZrANAffcB\nRt0tmYE5LKEWVmL2cxCeDaTDn396POlYBq1UbOXMIzIGceViPU8VPc9WO2ZrG06l0JUAkOQzZ2qb\n2ODdh1tvh3PC0O2Ws/W6fkaTXuPuzf6aJ238EvVqFE7pScCx3mcggEwWInwnRVkIo6qxikbDMDIM\nzrEPk0u81zY5m4oswYgoiAYaA1PpsUZHPYxf7kcTcjvcxA/98zBByq9I3IZ3dQhlnuyPVUKhQqjn\nKer45y7bGN7byaeiraliiF2JQGhDaNOwtd6Dm3YjMMcXMdzU4q9l6e1/kMzKvCZMxtL6paJ4YOG9\nKqZZry+bmiwib8SkUVWYUjAMI8PgVAqB0d3toGWJdfmpyEBIv408SLLjsxp8mzBGd1rrJ1kFP4Ua\n4Itx9BShJ89LP0K+QvBNS1VC8RwKaW+fryYmdFEhKZk2nXlQY73707Zv0vjv0rUw4SvZa6YtXQg3\nSU1Gcy0UpSbrILkRpRhNfgGTUVVUv1EoVc0Y8dLeGcnzevb0/nz6Bx/+dhtD5Lw9XSg6zKnoK/HS\nAOORkG8MOov2C++9y4zkMz09VxJwDJO4tHcy6Y/90zDOi3a/IA3AprCtxKQz3ZHe+1PS7+TU0m6c\nTbhSXZj7YBhGhupXCt1QWBAXqhkznF68KZfnIcx59rJuipdyC+syJLMu5+U3I/KqEeO0IwQlUKwQ\nUjqT/YIrEY4RBzXzAo5F7Ezb/o9hjYk302u8LdlxODyful7dknN/4+8hfEeNPTiUMfCYUjAMI8Og\nVwqDhcLp1frqmIWTsRhGuZhSqBBtTMitYSj3mIbR15hRMAwjw6B3H+oLXh+ufac4F76HngXMxkHI\nt4cSiDhIFhZ7TeKL3RwzBP3igGNIE4b0YnaNh7yA46hkv8Jj5J2rJHVp28O1+ON50rKPg8kAsh6R\nkwE+XPtO0uMUfkdGdWNKwTCMDNWvFNrpUQHTmAm+t90PtGqObHaJ/btEq/RqtYAnGf470S8HD36x\n17At9O4hTXh3DwN/odqwjn9OxyiUqGiMP9NT0vRnZ9Le0PZECExMrzEZxVhzRKfJ0JrkJ3+bfCfd\nYkVLVUX1G4VSvEw3MjeMlz7IFJ2WvFTZ7ps1MFJHAp3R7Af2PBCGZM+FxoV+x7D6MxesSU5Rd9C7\nA2cwG3KGTj9bMENSTOxKdMVOPtWj6eFPJS2pTqomtY2Mh+3a9uWhbHFuOuz8kjCQbEo6LLpUWXgy\naGpnfJISvNz9LsbAY+6DYRgZBqdSCLP35M3aMWUXz3acqy9Cz3tv7mHCzEvoRCJtQINGxeY1+zHR\nq5Y97jfccx5LF34egGXr0tWfw7Jtw+7wUjmvdmAfabAxTzEki7sUVDvG7/n2FSuEvABjqIlI3BFt\n4/YTgXV+/vml+GvhWth/hb/GeWEceH3xyOZ4Sb18ZmjbdFDVlB35u9nMS1WPKQXDMDIMTqUQEdJd\nYYjz/vrtdGz2SmE3nwFgUuu9yVDgOnV9t0THCIvCtNa0J0uihcVTh2x+B4BNm6ARv5DKx1u8Elj4\nll8OHoC1GnA8+FRUVJTGFgrTk3mKIXyuuzkaA3nTvZ2BSxXHcA0wahsXvpW2Hb2WTUNhiN6vSVzk\n32rKzmVZSMjEhntKa3qvk2xw/fbkO7GU5ODClIJhGBkGt1LoIMk+hDkBtpIGuVs5C4BJbSSTIcQT\nkobZiQM78UvUA4zUBWmvOeAj8sv2QaMu2b7igocBmHnTerbfqjMmq9+eLPhKPLOyFE2wWqwYUrob\nz9CVQgCYy92cibYhxBJ0DoXtC9ezFd929FqW7YNrQtZBr/nNuuIBoCMmbctOcAvpBBNt6b2OEwzh\nO0mwCVYGBYPLKBSOk54MtWGBOr2SYyY/yqHav/K7d2i9woHhsMf/wU/RH/3EmjQtGQKO7ePb09mE\nbvePK2f5H/2qi95m094RADRqUO3jtzk+3+R/gAduVKn+TGeyGEsaJJxAYZoyL0DY3bJxefsXzuh0\nJkvhPG3Ljf7h80+P0vZeyYXajk0ag90/4W1W4q8RveZ4Re68dTaTVGSoZDwwPKlPOFzr3a1jJj+a\ntDP5jsLBwRaBqWLMfTAMI8PgUAqh4i2vslH1ar26EWMmNLN/is97ZVKT63xacqSurFw3PBtsBB9U\nWxcWOtH9qPGfW9Cxnisf8t1r43M+1bfzlGnIjBcBmP8rXXX6VpIFXuc/7nvZeIEYSgQLuxu/kLd2\nxFzuBkhdhvM6QVednn+if3z9Y76NB5hG8JnCtSzo+EByjeg1r6OHAcZ14Z0ZRanIMROaUzejVNGS\nVTNWHaYUDMPI0K1SEJE1wMXA6865M3TbCfh5PsfiVwi73Dn3lq4peQe+z/k3YI5z7pn+aTq+EEYL\nmOLU5P767QCZ1OSkNu0No4BjCJyFgOPbu6cnS7C35MQW7rjYR+cWO9/br7jiZ2y95xEAZn5WHexH\nTvdqARLFkCz4CkWlyoXKoRR5M0JnFALArTBfA4v/qG3a+qZvI1f8jMWqqH53ir+WlVyexBJaotLm\nwiX1ThnfnhtgBH9/41Qk+O+hKBVphUuDgp64D+uA/wG6/LJnMdDinFshIov19SLgQvyKi6cBfwx8\nRx/7D/1rrNVxv5OHwTYNcr2gAcc1HXNZecDXHbAxDTjmjYMIsjm4EWHMxMh197Ku2UfHrmz0FYD1\nm86jsdXL8OUtrwGw7LN74BEfdFt9vx70G53Juo5hKbcwziEe01CKeNGYpFJxeGeSYQhBxfknpsZg\neYufdvrCib49m+6GW7Ttd4VI34x7eVOvcV3BPYjJrMgdpoLWtSfXMJcXCgKMk4dFAUbLOgwqunUf\nnHP/Avy6YPMlwJ36/E7gT6Pt653nCfyy9Cf1VWMNw+h/ehtorHHOvarPXyMdbHsy2bBSp257lb4k\nTmeFZciigOP06b4n3aoBx/s7zmWeLhg7ae2XABjZBHM0ctYeuRFBNocgZN00/971t8Dstk/40+vy\nak31t1C/exEASyf9gT9/SzMzTzwMwAPNHwXgh7d3Jis/h8Vew1JuZx78frouQ0k604GIQR3MSmsQ\nQtrx9Y+9mLgLQSF07Pb7NK24hQWbpwIwu0aXw7slWfmOLdu9QojHOQQXaw7Ritz6gbAI7/0cmwQY\nw72vh+IAYxuWihwElB1odM45yFlPvRtEZL6I7BCRHW+U2wjDMPqM3iqFAyJyknPuVXUPXtftr5Bd\nzG2UbivCObcaWA0wVaRnRiUvNVkwYrIeaNVKum1XfQOAF9o2sabDd69xbCEuZIJsbCGwQYt46uug\nQV35lVO0l13ymyRcuFEVQ+PsGbh7/DLvdVN9V3nO9XcxbamPKdyqQb1pGgNgP9CuQcK8dSRCHnAi\nMN4/3a6pxoVv+SpF8IVJoGnHK3Rcg89W0rTiFgAWLPkKK9G267W01KXXmEemYCknlgDwQu07HKP3\nOlQxZoKMeQFGS0VWLb01Cg8CVwMr9PGBaPtfi8hGfIDxncjN6Hty3Ija0VCvVxW7EfdrzULsRozU\nH9wcDbQxrT1xG4IbETITN9DON3X/hg3+ceWsD8ISdSVap/kmbTqPFV/3P8qdp/jMwo9ua2bxbd7u\nndPwCz2pT1FMu2hNspRb3pSPwU7sfiudICUMf/54y8eSsuVQqchzJBmGEFQMLsNKPgja9hY92Q0H\n0sBinHG4eFrqNgCM3Ei+2wAwZUfWbUCDjCHAaFWMg4qepCQ3AJ8GThSRTuBreGOwWUS+ALwIXK67\nb8WnI/fhU5Jziw5oGEZV061RcM7N6uKthpx9HfDlchvVLd24EaG6MXYjXmjzy6embsRjSZVjqF5s\nHZ4NOkJWMYQ0JaosGk6HlTO8HK/f7Msx5mx2rNpyAQB3Od97NjbP4MIL9IAt3rW4qeWHgF/9Oajy\nZCm3iDDr8jjSKdSSCVL4WTKwKYxluPKhGUkNQkg7JkHF5lQhrNMjPLd/Ym5NQlAtDXH14oHLgKzb\nAHDMVd8w8J6LAAAMWklEQVQodhtextyGQYpVNBqGkUF85z6wTBVxXUzeVZpYKYQu6kqSoOMmVQzr\n34Wtq3ywbciSGwBYRyuz8SlGNPbIErhN034h+Bb724Vpum/WQENw+hfpY/NlXKd1XqtqfwvA+IdG\nsFwHLjSGgh4NOLKWnvWeE0mdsWv1+ob6oc8A+y96G/BjGZJRjzO0itNfOi11PobQ3XXNqoHrg0K4\nWR9XwN2oGtKbffjmbwIwc8EirlKl0BiqHTuAu/R5HEswpTBgCDztnJva7X6D2ihAahiCUZhCWrug\nDk7mx6NzLo7dfC5b+A4Ak/C1C2wgqe4LufvYOOTJ7FkanQ+/15EbSX60QW5fx3ru0KDc4ct/AsD4\n5ecBvhw4N2KvhN/TrnfTWZfDNQzZfG4yF0JiCGruTQxO3rXkBRVjYxCuZWTwadR53M0/cDFfBOCF\ngmtYfmpk7FpCgykOMJpBGFB6ahTMfTAMI8PRoxQC9aRF+n/uHzrGwRrdtEqHDB9asInPdRwHQHNI\nnvSilw3EKbwkOLdVH68lye2HdF4I1j3LsUnmLm+EcSj6qAXOUFUQZl2exOJktqTEHZmZDmxap5tC\npWJe23uqdmawmYdDYHFVIwALLmrW9kBtcBt+oI951YumFAYUUwqGYfSKwa8UAnFsISiFEFuo9WoB\n4Ku6RNq2bTM4tMCnKRd0fABQvzxMOJKjGPKCj4G45w1VgHP0vSlE4waCrx560TYgqSjMW2VJlUBN\ndF0h+NCUzikZ3Pd1pFOpdddO8HGEjEIAVTZpPAR80DQohFCo9C2NhdQ+T1qoFNKQsVIwhVAVmFIw\nDKNXDI7p2HpCN71RmG8hpM6Y3szWud8F4A5NU8J6VoZe+1qdvk1fXj+TZCzoTi1iiqdzC73xM7un\n85z2xqEQamIN1GmPHmaTDp1+MrUZwPPxCyVaKzOs7xgH9YMAac/JkgTyYh+hOOn6g2RjHwAH0rRq\nyJow99uJQgj3MDNfQqwQQuNMIQxKjh6jEJNXY6+1C40hcjcMWOCLC8JvwhsH/2NIjMMsdScWw/VL\n/NMQyGNae/pjjE4VGwiA5yZtSwxIkO2B4GoA+YMfIgoXe40nQ8lzEQKnRMZpjm5riOsQVoQ9c1Ko\nebUIwRiEyGhe+tEYtJj7YBhGhqMn0BjTgzQlo31RE/iKR9Cqx7V+CreQrlwVFziF9Wrn+Ic3m7IB\nPvC9ed50ZqUk/ZFSShVAVhlEzfUBzxBMDA1u9oVJAAu0OOnh2ndAXauZqqauGpajECz9OKiwQKNh\nGL3i6FQKgcISaMgqBo0vxIph27a0uAlgrCqGr9PK7DAQIKQt55KMmIxTg6HTjIOAeeqhLyhUBXVk\nK76hIB0aqrE05Xg3S/gb/cQLUXFSYVCx8T3yFULA0o9Vz/tn7ENPmEjxwIIpZFwJ8MZhfVTHAHBo\nvZ8iKR5nkFtRGJL9TSQZgzhbUGgoAoXBw5KXUZN9nWsADpJOwR5chcQQDC+qqLyDY5PxGGH2pOnT\nm/ODinnGACzTMEgw98EwjF7x/lAK0L0rATAaOtSVCGMl7gujK+9Lg5DBpfgz/j2rGsArh3DcOfp4\nOkXqIVDY6ZZiSsHrjCoIi72uiw6aM94iTKEWXAXmfpfxl/pg4qU6vHseUQ1C7DLkKQQwlTBIMKVg\nGEaveP8ohUApxTCZpMgpjJUInWEmCKlxBtomZ1QD+HjDJB7TT+mUybF6KIxtxAVLp+e0d0/0vDAg\n0UqRKoAZ7OYzQBo3yKgDXQsjL36QTLra1ViG+LxgCmGQYYHG7sibtSmeoEWNQxyEjCc8AR1UFRkI\n8K5F+GgY6lzPHup5AqDYYJBT2twl6Q8f/BqOrZwFQKtalHgoduIiRIYgZBXiiV2K6g+6KlsOmDEY\nlJj7YBhGr3j/KgUoXfkYyBl+HTrNVrKqAeDQrvNB14AI6mFIx3GZyVIgVRH+tLGPkE9r5Fs8q+5A\nB2nnfjhWBbryc1jsNVYHQRSVdBXAFMJRiCkFwzB6xftbKQTy4guBnCBk6PY7hmZVA2QnWH1pb6Qe\nAgUqImaIBi1jEgWQaZN26aoIIFUFYyY0M2GMNrkggFhPTqoxL34QX1DAVMKgxwKNvSXPpQjkzOiU\nUMJQQOpmBIMRE4xHKcZMaC7aFs8EHTc3s3QbZCd/7ElWAcwIHIX0mfsgImtE5HUReTbadquI/EJE\nfi4iPxSREdF7S0Rkn4jsFZHu/9oNw6gqulUKIvKfgP8LrHfOnaHbPgc86px7T0RuAXDOLRKRifgl\nTD8J/CHwCFDrnDtc6hxVpRQCeeOX8lyLQi+gC/UQKDUHSd57eWtB5L1XUhUE4slQSp3UVMJRSZ8p\nBefcvwC/Ltj2sHMu/Bk+gV9yHuASYKNz7rfOuefxC81+8ohabhjGgNIX07HNAzbp85NBq3Q8nbqt\nCBGZD8wHGNMHjehzCnvLieT3qqHnDfGGXaTqQXvq2uS/rJAA0oUdgMbu2pS3MEShGghtyGsjmDIw\nuqUsoyAiy4D3gHuO9LPOudXAavDuQzntqAjxDye4Fl35AoUSfQrFP9QCw3FE5K3mXGpklRkC4wjo\ntVEQkTnAxUCDSwMTr5Dp+xil2wzDGCT0yiiIyAXADcCnnHP/Fr31IPC/RGQVPtB4GvB/ym5ltXEk\nqqErjmTMdE/oyflNHRg9oFujICIbgE8DJ4pIJ/A1YAnwAWCbiAA84Zz7L8653SKyGf/n9x7w5e4y\nD4ZhVBdWvNSf9M+0jKUxNWB0gY19MAyjVxydK0RVCz3ttXuiKEwBGBXCjEI1YD94o4ow98EwjAxm\nFAzDyGBGwTCMDGYUDMPIYEbBMIwMZhQMw8hQFRWNIvIG8P+AXw10W4ATGfh2VEMbwNpRSDW0o5w2\nfNQ595HudqoKowAgIjt6UoL5fmhHNbTB2lGd7ahEG8x9MAwjgxkFwzAyVJNRWD3QDVCqoR3V0Aaw\ndhRSDe3o9zZUTUzBMIzqoJqUgmEYVUBVGAURuUAXj9knIosrdM7RIvKYiLSLyG4RuUa3nyAi20Tk\nl/p4fIXaM0REWkVki74eJyJP6j3ZJCLDujtGH7RhhIjcpwv97BGRsyt9P0Tkq/p9PCsiG0Tk2Erc\niy4WPcq9dvF8W9vzcxH5RD+3o6KLLw24URCRIcDfAxfiZxaYpYvK9DfvAdc55yYCZwFf1vMuBlqc\nc6cBLfq6ElwDmeWnbwG+5Zw7FXgL+EIF2nAH8GPn3MeAOm1Pxe6HiJwMfAWYqgsPDQGaqMy9WAdc\nULCtq2u/ED//6Gn4ZQq+08/t2Aac4Zz7OH7+7yUA+vfaBEzSz/yD/p7Kwzk3oP+As4Hm6PUSYMkA\ntOMBYDqwFzhJt50E7K3AuUfh/+jOB7YAgi9QGZp3j/qpDccBz6Nxpmh7xe4Hfo2Ql4ET8HN9bAFm\nVOpeAGOBZ7u7duC7wKy8/fqjHQXvfR64R59nfitAM3B2uecfcKVA+ocQ6HIBmf5CRMbiV2F7Eqhx\nzr2qb70G1FSgCbfjZ8f+nb4eCbzt0lW4KnFPxgFvAGvVjfmeiHyYCt4P59wrwG3AS8CrwDvA01T+\nXgS6uvaB/JudB/yoP9tRDUZhQBGR3wd+AFzrnDsYv+e8+e3X9IyIXAy87px7uj/P0wOGAp8AvuOc\nq8eXnWdchf6+H+qzX4I3UH8IfJhiKT0gVOJvoTvKWXzpSKgGozBgC8iIyDF4g3CPc+5+3XxARE7S\n908CXu/nZpwD/ImIvABsxLsQdwAjRCRMl1eJe9IJdDrnntTX9+GNRCXvx2eB551zbzjnDgH34+9P\npe9FoKtrr/jfbLT40hVqoPqtHdVgFJ4CTtMI8zB84OTB/j6p+AUrvg/scc6tit56ELhan1+NjzX0\nG865Jc65Uc65sfhrf9Q5dwXwGHBpBdvxGvCyiEzQTQ342SMreT9eAs4SkQ/p9xPaUNF7EdHVtT8I\nXKVZiLOAdyI3o8+JFl/6E1e8+FKTiHxARMbRV4sv9VfQ6AgDKzPxUdX9wLIKnfNcvBz8OX69pjZt\nx0h80O+XwCPACRW8D58GtujzU/QL3gfcC3ygAuefAuzQe/JPwPGVvh/Afwd+ATwL3IVfdKjf7wWw\nAR/HOIRXTV/o6trxgeC/17/XXfhsSX+2Yx8+dhD+Tv9ntP8ybcde4MK+aINVNBqGkaEa3AfDMKoI\nMwqGYWQwo2AYRgYzCoZhZDCjYBhGBjMKhmFkMKNgGEYGMwqGYWT4/7nqDhwl7JadAAAAAElFTkSu\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9461e1e9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 125.0\n",
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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KWo1Cl+eSFJFpwEVAi0kty0vE//eD3DJFUQ4SuqQUROR87KDif2WM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\nBUVRIv4/z+TeWfS1yssAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94613e49e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 150.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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FumbNuj5Zd9ejaf++K8ZjnR3Bq9flaYVA8RgwNmqtB5MqWu7pr5Nb6oN+A7DB\n3RdXfHQPMDtezybVXTScuy9w95Ge+uXPIk0QdDbwIHB6E8rzCvCymX0oVk0hddFvyvUh3XIcZ2ZD\n4v9dLk9Trk+F7q7HPcB50fpxHPB6xS1Kw1SMx/qsdx2PNcvM9jOz0ezjeKyGVz7tY0XMNFLN7HPA\n5f187k+S0sQnSXNRPRHlGUqqUHyWNFPXIU24LicAK+P14fE/dDNwB7BfP5bjGGBNXKN/Bg5u5vUB\n/hJ4BniKNE3xfv15fUizuG0nPct+K6mFpeb1IFVEfyv+ba8jtdb0R3k2k+oi8r/pv6/Y/vIoz0bg\nlH05h3pmikihVrj1EJEWp0AhIoUUKESkkAKFiBRSoBCRQgoUIlJIgUJECilQiEih/weEN6JQTh51\nqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94655f6908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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50058nrjq0wDczo0MGzUnauOEP8GKyc8ARMZhNF+3T/Czv/P6NTAOobEFaxy8O+bTlT8a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\nFCriVwceTs7CHbv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3UghgXYZEIWj6sSlQpaAoSo9ofqUApbMDKxQ2dQ6sHHz0/ratfHR5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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f946461a160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 175.0\n",
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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b73kd5E4a4uMKchoZWev89HaOLTQjlpBXvBRbRg+gkFMjegbvNdYgoWW0nVEo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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94613f4470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 200.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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UZjbSzDab2RYzm97F5z7OzB43s41mtsHMro7bjzCzx8zs+bhsY4B3xdrVzcxW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\nLoOe5Eh73DAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94e9566c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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cLMEpBMc6VPG6BBGicxuyS8z77I9qoIiiz+OriGxac/XpXks6qxhqiC1kiba3\nazrIF0lX9k9IWrMxuqDaVaig44xCJdkJT+mSbqMJg44JtbZxL8osFPx4apnA1OlES6v9z+wMRC01\nDzXSTWV+ukx34j44DprwRNKFqZUMVFsgRgDEfRAEIcN+oBRqwwUjT4mURfRT2Xg4CDL6bkNGIbwf\nVEGM2OcK1IM7D62qsqyBrncqt62PLSUntJX35zdeEISGed8ohWhFY4TsLMgATyXUohBGVd2j8yhq\nB+c+c+5UbhuDyQYcx5/c4MpSQkfyvjEKg8H+aASyZD9DzT0jy6e0JNgodD7iPgiCELDfK4V65z40\nSiMqIbvwy2BQsB5ulFFUqoUP7zmg8W5Qln4qaxViq8z5K24PRL6NbsEXYfAQpSAIQkDnKoVkWbfK\nIFZRO/9maTQFuS9UQYzYOOpVD7VStHR9vZWmPnvXnkk76ki73kGarNRAxxmFWBlyCRPgqntCVIRk\nXcMW/VI6xRgU4cbYLuNQD64+JDC+tfZIyCWyaGjP2qTno1Af4j4IghDQUUohCOa57ssfge43TA1C\nT9JxKZ3v4FREQmyl6TpwAbb3ayVjw5SeTxqv1DqFupYeKCWeTu4n86LKkziR39oHfdkXRA9QxvR0\njHkHTQuRDxjyzRcEIaCjlAKkFYdv2Sq5Yd0w9Cm7/Jed3xCjaDGYHtJ2jetbMsr3N82mI7M4BbD+\nNZKqSKcKR/J4EpWseQa19FNsK6IUBEEI6Dil4KLT/SfPB2DSTOApoxpi8xtqnfOQ5fCxj7E720+h\nZ+D911RlEOimDr/dzkhNszbPJD34kmXe+ick6zgk1JvjLK1izDEFzxe19/6A01FGYSywxv5Qy5dZ\nozAO+LR5fuhTZlr0KdZVeJupntvQwKSc7ArMBb0KtxKvanRf3U5OTRalInPnPhRMmXZp3fE5i8Nk\ncTWL/mS0k/y13qwddi3ZhwwckvRcLF4ExjGVsv0PbI88mxis2JNCBeI+CIIQ0FFKAUiu1g/YIqaZ\nn4RhMzP7WHciWEzWpSIjS8b5uKvb5uLdPpCpyWiA0c2M7H6yplSkU/mxdOTujeck7lmJx83GcTBg\nJdhLj5qeikf7LxpBPrsqN73b9TpgWrpFyWvDJovLJnxwvvGCINREVaWglJoPnA/s1lqfaLd9DFgC\nHItpsX+R1vo1u6bkncBngbeAK7TWP4+9b4yT2MUSeyVx/ueCk3dwzR/mvCA27Q6iasH5le4lo4/b\nES91dr6cxG4EAAAWV0lEQVR0JODo/O/9JbbQUCwBam7B5k5zXpAxSEUCrD6dk6zySoqWZqb77V34\nNcCEGCpmRxZEMtdzBus42D76z2T7hKHF4xfi1OI+3Av8HbDQ2zYbWKm1nquUmm0f3wBMA06wf58E\nvm9va6LEaj68x2Qfdi/+FgAPHDeDkl2CbFLWOKzGrjXpEenkPOw3gH0Pv14h3m48DDbG3IhqxmFf\nG4Z6jUE1twHMuao3wOhIAozlU5JzM5JbzZ0JsNDLOgBMp0xSyRjLOiS+ifEZy5yaVjL2GP/gmDF9\niR1Jej/KZKiaqOo+aK3/Dfj3zOYLgPvs/fuAP/a2L9SGZzHL0h/RqsEKgtB+Gg00jtBav2Lv7yQN\nBx1JmPjZYbe9Qo181t4uWXApYFYpvv48k568w17te2zgcdhzVA0s5jH+0CrBxowb8eZh79UcdNyX\nrkS9MyEDldBE5+ZYgNG5aknn7P4uLncLybip8VNgRZ8JMB47cAjgloDLSUUGdQVTk3vJl660CqC4\nRqHifQSfpgONWmsN9c9hVkpdpZR6QSn1wqvNDkIQhJbRqFLYpZQ6Qmv9inUPnFv+MmFG6Si7rQKt\n9V3AXQATldJggk9le+nfuMeIjzXX3s0qW9B0/ZwZAFxifdqZn4RhbjalW5A2B3cl8y8QaZOQgtiC\npxiy8YW8giaHf9Vul2qoRxn48YRChRCZETn6uB1JLKFagBHMefYDjAAn7TmAadxitlm1t+RA01QF\nkhomE2SsIxVZzjm70aIlWb6+Ko0ahYeBy4G59vYhb/ufKqUWYwKMr3tuRlVG8jizkkfXADB2z4jU\nlbDPbL54DgCrT97BFc6lsLfDflN8jOCL7AJmnnHYTYYqKzJnA3d5RiL7423GSNRqCGru1OzIBBez\n5HlqPVT+1lbjBRjt/6+XXcAzZtsXzM3Ct4EFVwMuwAjQl1rxqOUxAUa3UMw6Dq6oT4hmHmI1ClKf\nUEEtKckfAqcDw5VSO4CvY4zBUqXUlcCvgYvs7ssxYYHNmJRktuxIEIQOp6pR0Fp/MeepKZF9Ne4S\n3xDPMNJeSebYirefcAsn7THXqLl/Mx2A3fbqffcVd7DeBiETl2J4+m7VVENN+GsdeEFHRzb4WM2l\ncLSzNVqeQoimHnsGous5+G4DhGnIam4DGNfBpZXdOZrF98CIhqSKccWjUzMBRogGGd0b5zVW8VKR\nboySimwMqWgUBCGg8+Y+JBjFMI2pTOM0AEo2SDV7pUlxrem/O4kzYBUDh6ZXsh5PNTiiM3CD2EIm\n6OimV0cUAxQXNzkGY2WpovhBrkKA8HMVFCrFpkcXpSE3/+qoJJbg0swjuRWM2MP+t9i78Gt83rZe\nG89ss3FE5GCOXeBSkcHMyFgqMjsrsh9JRdZAZxmFccS/DGVrIDaYL0OJmwG4ds83WHLt3QBJhoI5\nM9IfuSVvKn7FoQ4lCDpCxjjElk3LuBSxWgb/B9tKA1EtkFhhDPwsQ44xgHimIXibyLZsSfPuxd9K\nSpq/y1+ajZfCgC0tmGcnPx27dDKz+L599Rv5B/CqGP0AI5hJUNkAY/C/zZsEJUQR90EQhIDOUgol\n0qvEF7zt7gJnLf7I603d/GIehz1GNgZpS1vP4CuG7MUnlkbr9l8TUwxZV6J8SrTy0VFNNbSDQlcB\nKtWONyW6aG5DTMD5zYuc27DqUZtUXnCpTUF68xymh24DwOf5bTr5KVabUCH3p1Z2bvbWeAjmOxQF\nGCUVmYsoBUEQAjpLKUCiEFzKqgyJI97rkqC2px/XPcPiDZPMfU8xrHLFN17w0RFzV93Vxb8oja+l\nsAkqKx8hqhocrWzaktt1OW8Og1ep6Mib/RirWsxroLIaeOhFW6h07/WAqV6cw+fMNpeGnBrGEgAb\nT/hReICYLLFVjOs5g0V2h22uYGnGN5MAY2EVowQZa0KUgiAIAZ2lFHpIZk4433Pt22lDz4X2ajDD\nRrB7HwFuNpmJxfeniiHJSLj3PW9+NCORvfJFs2CRdKUjVznErtQF6qEpimY2FsQPHH6mIdmNePox\nqxCihUorPw7AXB6Dcbak2YYUvvw27L1uCUCYhnSxBP+gFcVKxb0TXNYhKVgCKWtukM4yChNgwI5o\nmZ3XvGXZ7cnTbs7TpgtvAKA8GubaL5xLWy7eMCl1JXzjUOBK+MYh60okKbkgXenIcSmy5BmKVhJL\nlxa4Co7xh1amHau5DO7cuD6aqx6dldQkzLY6fxpTYZ55frZ1/5bPvZ1zbPVikIYsat+euA1zAVhE\nKTpNusKgSxVjw4j7IAhCQGcpBdKr0EubrI+w4GqG2KuLY0vZuArzZnwTzjOpqLmP2CfPf4bvbrDF\nMnu+AcCSe6+PVj46fMVQkyvhqNWlqJXYjMyYAogRmdnYqKsAdSgEgGvvptcGUJPg4h2VhUpDbvxq\nMhOysHqx7B/4v9tNaRry3YtMf8fjrWKcMDQSYFyLBBgbRJSCIAgBHasUXOONIQOHVEzHHLDprG39\nS7h97Q/MxtnmqjH3ERh5vgk0fNcGlTau/AZrMKkypxjGXzafLH7w0VFNOYy3C+G68t7Rx80PVkIC\nYOxjaUuyInL6GBQRW4shFjdIDpHZNxY/iFEmohBs+rF3zwFeKbMNLl4Ln7VxIRdcvI7fchnfNhtH\nVClp3hX2TAjSkJl5DjXPiJQgY010llHo8tYTtC7C0fjNN0IWDZRYeeNXAUjCkbNvSFwJZxz6NsDU\nlcaVcMbhbmBSDXUMtS5h2G3fYzWVhgKMsfCpMBx1kP3R+xQZAMif1JQlq7wfeK3SGJxkMw3f5S8Z\nOc5GfO3Nee/BlpueAsgEFwtqEtzBvElP821LDj/j4LsNyVv4boP7AOI2NIS4D4IgBHSWUojQRdp8\nI7tASIkzkivJnVYxzJvwRBp8tCmxkefemixD6yuGWoKPPrXMnyjhpTMjcwjcHAGnJpohrz1a3qzj\nWlWPf5ENXIaMQuizLsPIcbeCVWd++tFVLc6z6cfxzE4bMFepSfgnbgTSmZCx6kXXuk/mObQWUQqC\nIAR0rlLonxDZ6K73Jkg1nj7+NlEPZgGrO8//KfMeOReAklUMvT81asF/h6mR4GNe5aMj1t5tUubx\nW8OLr8itbCZc7cpfSzu6t7xGNH4cIRZUrFAILoAwL1UIt8810Z1jb/wqt1akH3PWcnAH9gqVXAOV\nlW6fmSagfMyYPmZkqxe3E8YS3IcQGqJzjYItYWVgcuVzyRTbN2CXCVz9bfLkQu48/6cATLfGgfP6\n6DWbGHldGny81roSS/qLKx8h5wcYaSs/rEqr+awRAeD42Mbqx2qIyLEKg4q2KtTPMCRBRVexODU1\nBkOsG3crZS7jdLODn2mI1SQkLdvTmoQHXQMVW5PgmqhcODpSk5DnOojb0BDiPgiCENBZSmEAJrhA\nVS37+5G+QDGkrgQYxVDOVD6OPP/WpI4hqXy8Nt7zMTlcbG2J2NUobzXswSIvAjkuvevchtygoqcQ\nIJN2zAQV5z06NVEIX7ITnS7j25W1CLnBRVOT4IKLiygFgUWAs88u6NIs1YstRZSCIAgBnaUU8C4m\ntmptYOnkpO59fOwF2SL9XT8K4gsQBh/9uRKuuGnxBrPGRDDt2m8EC3BolcCeUwc/j2yLkRNzq4mP\nFDzX7Y3hE962HIKg4rfM+WLBpYlCWOyiIOOeqVAIfhzBKYS/xZ4vflSDQgB2fSSYAQk2uOgFFoEk\nuNj7DrUVKkk8oWE6zig4XGBpW9fVlAdMJPoyl+S2rgL9xOc/FwQfb//2X5tNXuUj50emXWeWqvO7\nRLsFZ4Kgovsh+oYg+eGn1YtveyslN4x936FJLgXMAt/EDZFnFJzbsMA+fuC10BiAcRkCYwDwSNwY\ngHEZAmMAph6haKJTUsY8N6k1cZmGdy96OqlavHC02RYEF6Umoa1UdR+UUvOVUruVUuu8bXcopX6h\nlFqjlPpnpdRHveduVEptVkptUkq14BcgCMJgUotSuBf4O5wWN6wAbtRav6OUuh24EbhBKTUOuBij\n9H8feFwp1aW1frem0ayFkjUjLrC0vGctD9q0ZMkGoi5z+zvF4FMt+OjPlfAmUQFw8zNBByfwFEP3\nk0nwsWQVw6TjiV+ZMgrhbaayms8Eu5SpnCbdz5jIx9lUsa2Em079Gbr5V8BTDW/syHcvjk9PTaxB\nSuAyXBp2TZo9Kq4QwLkM9n/hd2TOSvpgopNxGeYzszL9OOObiUIIqhbBqASpSWgrVZWC1vrfgH/P\nbHtMa+3+Tc+S6uMLgMVa6//UWm/FLDT7By0cryAIbaYVMYVZwBJ7/0hIVgkF4+geGXuRUuoq4CoA\nf6Uvd0VwM+BWzPgm2/rN2y8aMJ5lyU6nHU8f9NnLsrtCxZov7upjlvWi1/EnADy24GozTwLS4OOt\nhG3dIGjt5uIL99pp1z3DYZhL87mgnufTu/jBaj6TKIOsGliHooh1fDy5fyI6eA9fRbiwwVDuSV/s\nxmTH+NZwI/sg3iAliCN4CgFsoxS7ZLybyj4riUz0hec/SySo6OIID3Iw2zyFAEYlBus3QBpwyEs/\nSiyhZTRlFJRSNwHvAPfX+1qt9V3AXQATlXLf9iSyXLJfxmPG9LHFRqLdNOnr7A97Ht4kKT/4WMEb\nyX7TXQefgRLb7IIky9xCIqOh11bpca4xDq6Kb+Oeb7DGTgh6yPYw6D55BzM/aXYf5r6U3YCZMewF\nAkPXAUJjsDk25Ayjvdc44+ATBB27w9u37BgXEG/FnvRCsOt3Mg+W2PPvemXuXfi1ZHXotHuSKzH3\nUin++U8qFSuDis5l2HbR0xW1CDOG2iwDxDMNWcQgtJSGjYJS6grgfGCKXYIe4GWSfsyAcStebnh0\ngiAMOg0ZBaXUucBXgc9ord/ynnoYeEApNQ8TaDwB+D91vblNN/Va01IeDctsesr1Zlxpp+Rex58k\nV/40+Oin6fLpArbb99lSMgG0hdfdkC44c4e5cUvUzWUyvXa1a9fO/IHjZqRBxz+MHOQpkyZ0wcAQ\n4wKsQzG6phGnCsG5DSWe997bpiQ/DfZiDHZMfnAx1oo9mdhkPzNTYKFtduO6aQ9ZOpl0re0sH/FU\ngY9xn/xKRT/tCMZl8BUCZGoRYulH5zaIQmgLVY2CUuqHwOnAcKXUDuDrmGzD7wArlFIAz2qt/6fW\ner1Sainm3/UOcE3NmQdBEDqCqkZBa/3FyOZ7Itvc/rcBtzU0mjJpoMpelmaNAncpXXbbp4H0yv7Y\ngqsZsMHHsk05ltiYNGWpl00vwRJ7rF43c9sG6aZtuIXZ1km/yStsut5WPN5hi4JiimHoU/dwivX5\nu73goxl3pINzDi4VGaYhPYUARiXYMayyY7rer1isWJ/hlnROhP3MSw6ETTUEOlz/RJLblDKnJtOf\nH/QbpdjZr34cIVAIEBYoSfpx0JG5D4IgBHRembO7ItirVhdWLUCqGGyM4aUJTyQZhHm2KcuxAyW6\nchuSpReg7cC7diaeY0yQG7W37q02PEPJ5ht795jYgr+Y7fW2sOmS4TDT+vRJunIDsMBc0YeuNiLr\nlDfsLeCXQefjtW9zxUndpPEDl3b8ZFjCDJnl4W36sZTkTp/x1m9PD+HOhavkfrfrdVba7MOAfUG1\n8+xmOtLzAmDUgZvL4JcvV2QaqhUoSSyhrXSWUfD/2V6+231X59rgY8l+ocqj+1hrg1QrVhhZvm3t\nmWwrZ1qZ9E9Im7Y4SquS+RXuixosKhJhGreY41o3YuOeEazJTKDafPEcHrDdli+xqcDSJ6HHGQo3\n7dqfN7Ghhn6N3rRn1yjlreHxBimuU7QLKjqX4aQ9B3CS7zbkUALKVtJv8gywa7vvzu8294Iaz6/f\nICWxQ1vJdxX8D+YQg9B2xH0QBCFApSUG+46JSukX3INxmSdLpKrBBf+cdDg6XZDWv6C4+8kaEhF8\nVRBUzzkJ+2N7665aXnnWTm4GYD7XsMaW8rmmMG8e9l66mKxb8s1b7blooZZq+OtIgFEEySIzbqp3\n+ZRkhesPW1fhs3b/k9jFLL4HeP0VAS61t+48f4Gk2sQ/v7WeVwgVV/T8xhqkOMRVaAsKXtRaT6y2\nnygFQRACOk8pZPGVQ9HyRrHmz/nVNvGimKKrVnDFOg2AnZxFmcmZ3bsT9eDYGDnU1oKhVWNUZNtY\n776LG5QyzRVKPM1IbEMZV9IM6TmOrSHXqvPqKFIFDlEHbaFWpdD5RkEQhJYg7oMgCA3REUpBKfUq\n8H+BGpYvaTvD2ffj6IQxgIwjSyeMo5kx/Fet9e9V26kjjAKAUuqFWqTNB2EcnTAGGUdnjmMwxiDu\ngyAIAWIUBEEI6CSjcNe+HoClE8bRCWMAGUeWThhH28fQMTEFQRA6g05SCoIgdAAdYRSUUufaxWM2\nK6VmD9Ixj1ZK/UwptUEptV4p9SW7/WNKqRVKqV/a2zpmJzQ1niFKqbJS6hH7eJRS6jl7TpYopYYO\nwhg+qpRaZhf62aiUOm2wz4dS6sv2/7FOKfVDpdTBg3EuchY9in52ZfhfdjxrlFKfyH/nloxjUBdf\n2udGQSk1BPgeMA1TcPtFu6hMu3kH+Aut9TjgVOAae9zZwEqt9QmYxuKDYqSALxFWRN8OfEdrPRp4\nDbhyEMZwJ/BTrfXHMd0aNjKI50MpdSTw58BErfWJwBDM4kKDcS7uBc7NbMv77NMw/UdPwCxT8P02\nj2MFcKLW+iRMIfmNAJnFl84F/t7+nppDa71P/zATCfq8xzdiVp8a7HE8BJwNbAKOsNuOADYNwrGP\nwnzpzsQs46owBSoHxs5Rm8ZwCGZKhspsH7TzgVkjZDvwMUyvj0cw3V8H5VwAxwLrqn124AfAF2P7\ntWMcmec+B9xv7we/FaAPOK3Z4+9zpUD6RXDkLiDTLpRSx2KmAz0HjNBav2Kf2gmZ2U3t4buY7tjv\n2ceHAf+h01W4BuOcjAJeBRZYN+YflVIfYhDPh9b6ZeBvgJeAV4DXgRcZ/HPhyPvs+/I7Owv4STvH\n0QlGYZ+ilPpdTPeEa7XWwQLx2pjftqZnlFLnA7u11i+28zg1cCBmTanva61LmLLzwFVo9/mwPvsF\nGAP1+8CHqJTS+4TB+C5Uo5nFl+qhE4zCPltARil1EMYg3K+1ftBu3qWUOsI+fwSwu83D+BTwR0qp\nbcBijAtxJ/BRpZRrlzcY52QHsENr/Zx9vAxjJAbzfJwFbNVav6q13gs8iDk/g30uHHmffdC/s97i\nS5daA9W2cXSCUXgeOMFGmIdiAicPt/ugyixYcQ+wUWs9z3vqYeBye/9yTKyhbWitb9RaH6W1Phbz\n2Z/QWl8K/Ay4cBDHsRPYrpRyi11OwXQ2GMzz8RJwqlJqmP3/uDEM6rnwyPvsDwMzbBbiVOB1z81o\nOd7iS3+kKxdfulgp9TtKqVE0svhSjHYFjeoMrHwWE1XdAtw0SMecjJGDazCtP/rtOA7DBP1+CTwO\nfGwQz8PpwCP2/nH2H7wZs8777wzC8XuAF+w5+d/AoYN9PoC/An4BrAMWYRYdavu5AH6IiWPsxaim\nK/M+OyYQ/D37fV2LyZa0cxybMbED9z39B2//m+w4NgHTWjEGqWgUBCGgE9wHQRA6CDEKgiAEiFEQ\nBCFAjIIgCAFiFARBCBCjIAhCgBgFQRACxCgIghDw/wF4cT5qoOkoGgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94d035ecf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 225.0\n",
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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sSe4ETldKjVJKKUz7+U3AT4EL7DnzgQebG6IgCINJMzGFp5VSqzBN3N7AuJGL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\niFEQBCGBGAVBEBL8f5kR6zogtlriAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94e159c7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 250.0\n",
      "refinement level = 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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5JXGKz8pmwVSfR0FjSFZveJrRl/roRkklAT7SId+ESFGJomiLofhr4P8Cd6cM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\nKIQQuchQCCFykaEQQuTy/wEM11b4WY6aawAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94d4fdbe48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "refinement level = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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4w/VKwLDaCEB9VwHKjcF6cm4DtGznXklgEF6tu+SfvVF9ZmPjCajowpT68bik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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f94e1594ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sets = np.unique(file_data[:,0])\n",
    "width = 8\n",
    "height = 4\n",
    "# NOTE: I changed the colorscheme here\n",
    "cmap = cm.prism\n",
    "print(\"sets=\",sets)\n",
    "\n",
    "mn, mx = np.min(file_data[:,12]),np.max(file_data[:,12])\n",
    "#mn, mx = 0,1\n",
    "for which in sets:\n",
    "    gg = file_data[file_data[:,0]==which,:]\n",
    "    print(\"time=\",which)\n",
    "    for rl in range(10): # refinement levels\n",
    "      g = gg[gg[:,2]==rl,:]\n",
    "      x = g[:,5]\n",
    "      y = g[:,6]\n",
    "      z = g[:,12]\n",
    "      if z.shape[0] == 0:\n",
    "        continue\n",
    "      print(\"refinement level =\",rl)\n",
    "      plt.figure(figsize=(width, height))\n",
    "      zi = z.reshape(len(np.unique(y)),len(np.unique(x)))\n",
    "      plt.imshow(zi[::-1,:],cmap,clim=(mn,mx))\n",
    "      plt.show()"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Excercise:</h3> Play around with the CarpetRegrid2 parameters. Attempt to add more levels of refinement and/or more centers of refinement."
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   },
   "outputs": [],
   "source": []
  }
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