Launcher_Design_Problem.ipynb

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   "source": [
    "# <h1><center> <font color='red'> Two-Stage-To-Orbit design problem</font> </h1></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center> L. BREVAULT (ONERA/DTIS) </center>\n",
    "<center> loic.brevault@onera.fr </center>\n",
    "<center> May 2019  </center>"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "## <font color='blue'> Problem description:</font>\n",
    "\n",
    "- <font color='blue'> Simulation</font> of a **Two-Stage-To-Orbit expendable launch vehicle** using four coupled disciplines:\n",
    "    - Propulsion,\n",
    "    - Aerodynamics,\n",
    "    - Structure and sizing,\n",
    "    - Trajectory.\n",
    "- <font color='blue'> Mission</font>: injection of a **5t** payload into a **700km x 700km** circular orbit (equatorial)\n",
    "- <font color='blue'> Trajectory simulation </font> in the local geographic frame, 3D, non-rotating Earth:\n",
    "<center>\n",
    "$\\dot{r} = V \\sin(\\gamma)$\n",
    "</center> \n",
    "<center>\n",
    "$\\dot{V} = -\\frac{1}{2m} \\rho S_{ref} C_X V^2 -g(r) \\sin(\\gamma) + \\frac{T}{m} \\cos(\\theta-\\gamma)$\n",
    "</center>\n",
    "<center>   \n",
    "$\\dot{\\gamma} = \\left(\\frac{V}{r} - \\frac{g(r)}{V}\\right) \\cos(\\gamma) + \\frac{T}{mV} \\sin(\\theta - \\gamma) $\n",
    "</center>    \n",
    "<center>\n",
    "$\\dot{l} = \\frac{V}{r} \\cos(\\gamma) $\n",
    "</center> \n",
    "<center>       \n",
    "$\\dot{m} = - q $\n",
    "</center>    \n",
    "where:\n",
    "$r$: altitude (m),\n",
    "$V$: norm of velocity (m/s),\n",
    "$\\gamma$: flight path angle (rad),\n",
    "$l$: longitude (rad),\n",
    "$m$: mass (kg),\n",
    "$\\theta$: pitch angle (rad),\n",
    "$S_{ref}$: surface of reference ($m^2$),\n",
    "$T$: thrust (N),\n",
    "$\\rho$: air density ($kg/m^3$),\n",
    "$C_X$: drag coefficient,\n",
    "$g(r)$: Earth gravity ($m/s^2$),\n",
    "$q$: mass flow rate ($kg/m^3$) and $\\alpha$: angle of attack (rad).\n",
    "\n",
    "<img src=\"angles_definition.png\" alt=\"Drawing\" style=\"width: 300px;\"/>\n",
    "\n",
    "- <font color='blue'> Trajectory phases and control </font>:\n",
    "    - Lift-off: $\\theta = \\pi/2$\n",
    "    - Pitch-over maneuver: $\\theta(t) = \\gamma - \\frac{\\Delta_{\\theta} * t}{\\Delta_t}$\n",
    "        - where $\\Delta_{\\theta}$ is the variation (in rad) of $\\theta$ during the maneuver and $\\Delta_t$ is the duration of the maneuver (in s)\n",
    "    - Gravity turn: return to angle of attack of zero and then $\\theta = \\gamma$ ($\\alpha = 0.$)\n",
    "    - Exo-atmospheric command for first stage: $\\theta$ is optimized by a linear interpolation control law (parameters are waypoints of $\\theta$ as a function of time, 2 parameters are used: $\\theta$ at the time at which the exo-atmospheric phase begins and $\\theta$ at the end of the first stage flight)\n",
    "    - Separation between the first and second stages\n",
    "    - Second stage flight (bi-linear tangent command): $\\tan(\\theta) = \\frac{a^\\xi \\tan(\\theta_i)+(\\tan(\\theta_f)-a^\\xi \\tan(\\theta_i))t}{a^\\xi+(1-a^\\xi)t}$\n",
    "        - where $a$ is a constant, $\\xi$ a parameter defining the shape of the bi-linear tangeant law, $\\theta_i$ and $\\theta_f$ the pitch angles at the beginning and at the end of the phase, see [F. Castellini PhD thesis](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=2ahUKEwiYq9yN9urhAhWaAmMBHeMHDmQQFjABegQIARAC&url=https%3A%2F%2Fwww.politesi.polimi.it%2Fbitstream%2F10589%2F56841%2F1%2F201203_PhD_Castellini.pdf&usg=AOvVaw14PiJUsq8IUSFMbhVEfBef) page 69\n",
    "    - Coast phase (balistic flight to reach the final orbit -- not simulated)\n",
    "    - Orbit circularization boost (-- not simulated)\n",
    "\n",
    "<img src=\"trajectory_phase.png\" alt=\"Drawing\" style=\"width: 600px;\"/>\n",
    "\n",
    "\n",
    "- <font color='blue'> Propulsion</font>: simplified model based on [M. Balesdent PhD thesis](https://tel.archives-ouvertes.fr/tel-00659362/document) pages 100-101\n",
    "- <font color='blue'> Structure and sizing</font>: Mass Estimating Relations (MER) based on [F. Castellini PhD thesis](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=2ahUKEwiYq9yN9urhAhWaAmMBHeMHDmQQFjABegQIARAC&url=https%3A%2F%2Fwww.politesi.polimi.it%2Fbitstream%2F10589%2F56841%2F1%2F201203_PhD_Castellini.pdf&usg=AOvVaw14PiJUsq8IUSFMbhVEfBef) pages 79-85\n",
    "- <font color='blue'> Aerodynamics </font>: fixed drag table $C_X(\\text{Mach},\\alpha)$ as a function of Mach and angle of attack $\\alpha$ (rad) obtained for a representative TSTO launcher geometry using low fidelity aerodynamics code (e.g. MissileDATCOM).\n",
    "\n",
    "\n",
    "- Use of [OpenMDAO](http://openmdao.org/) to connect the different disciplines as a group\n"
   ]
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   "metadata": {},
   "source": [
    "## <font color='blue'> Problem simulation:</font>"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import of general python librairy "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sys\n",
    "np.set_printoptions(threshold=sys.maxsize)\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import OpenMDAO + CMA-ES optimization algorithm\n",
    "\n",
    "-Required packages : \n",
    "    - pip install openmdao\n",
    "    - pip install cma\n",
    "    - pip install geopy\n",
    "    - pip install pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from openmdao.api import Problem, view_model\n",
    "import cma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import of specific Python functions for launch vehicle design"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import Launch_vehicle_Group\n",
    "import post_traitement\n",
    "import result_vizualization\n",
    "import constants as Cst\n",
    "import specifications as Spec"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Creation of an OpenMDAO problem using the launch vehicle group"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<openmdao.core.problem.Problem at 0x7f10c02caa90>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "P_obj = Problem()\n",
    "P_obj.model=Launch_vehicle_Group.Launcher_vehicle()\n",
    "P_obj.setup()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the N2 chart to visualize the connections between the disciplines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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format('woff');\n",
       "}            \n",
       "\n",
       "[class^=\"icon-\"]:before, [class*=\" icon-\"]:before {\n",
       "    display: inline-block;\n",
       "    font: normal normal normal 14px/1 fontello;\n",
       "    font-size: inherit;\n",
       "    text-rendering: auto;\n",
       "    -webkit-font-smoothing: antialiased;\n",
       "    -moz-osx-font-smoothing: grayscale;\n",
       "}\n",
       "/* makes the font 33%% larger relative to the icon container */\n",
       ".bigger-font {\n",
       "    font-size: 1.33333333em;\n",
       "    line-height: 0.75em;\n",
       "    vertical-align: -15%;\n",
       "}\n",
       ".icon-home:before { content: '\\e800'; }\n",
       ".icon-left-big:before { content: '\\e801'; }\n",
       ".icon-right-big:before { content: '\\e802'; }\n",
       ".icon-up-big:before { content: '\\e803'; }\n",
       ".icon-resize-full:before { content: '\\e804'; }\n",
       ".icon-resize-small:before { content: '\\e805'; }\n",
       ".icon-text-height:before { content: '\\e806'; }\n",
       ".icon-resize-vertical:before { content: '\\e807'; }\n",
       ".icon-floppy:before { content: '\\e808'; }\n",
       ".icon-search:before { content: '\\e809'; }\n",
       ".icon-minus:before { content: '\\e80a'; }\n",
       ".icon-exchange:before { content: '\\f0ec'; }\n",
       ".icon-terminal:before { content: '\\f120'; }\n",
       ".icon-help:before { content: '\\f128'; }\n",
       ".icon-eraser:before { content: '\\f12d'; }\n",
       ".icon-sort-number-up:before { content: '\\f162'; }\n",
       ".icon-right:before { content: '\\f178'; }\n",
       ".icon-map-signs:before { content: '\\f277'; }\n",
       "\n",
       ".context-menu {\n",
       "  display: none;\n",
       "  position: absolute;\n",
       "  z-index: 10;\n",
       "  padding: 12px 0;\n",
       "  width: 240px;\n",
       "  background-color: #fff;\n",
       "  border: solid 1px #dfdfdf;\n",
       "  box-shadow: 1px 1px 2px #cfcfcf;\n",
       "}\n",
       "\n",
       ".context-menu--active {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".context-menu__items {\n",
       "  list-style: none;\n",
       "  margin: 0;\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       ".context-menu__item {\n",
       "  display: block;\n",
       "  margin-bottom: 4px;\n",
       "}\n",
       "\n",
       ".context-menu__item:last-child {\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".context-menu__link {\n",
       "  display: block;\n",
       "  padding: 4px 12px;\n",
       "  color: #0066aa;\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       ".context-menu__link:hover {\n",
       "  color: #fff;\n",
       "  background-color: #0066aa;\n",
       "}\n",
       "\n",
       ".tool-tip {\n",
       "  z-index: 10;\n",
       "  font-size: 11px;\n",
       "  padding: 5;\n",
       "  background-color: #fff;\n",
       "  border: solid 1px #dfdfdf;   \n",
       "}\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "\n",
       "<body >\n",
       " <div id=\"all_pt_n2_content_div\">\n",
       "        <div id=\"maintitle\" style=\"text-align: center\">\n",
       "            <h1>OpenMDAO Partition Tree and N<sup>2</sup> diagram.</h1>\n",
       "        </div>\n",
       "        <div id=\"ptN2ContentDivId\">\n",
       "            <!-- The Modal -->\n",
       "            <div id=\"myModal\" class=\"modal\">\n",
       "                <!-- Modal content -->\n",
       "                <div class=\"modal-content\">\n",
       "                    <div class=\"modal-header\">\n",
       "                        <span id=\"idSpanModalClose\" class=\"close\">×</span> Instructions\n",
       "                    </div>\n",
       "                    <div class=\"modal-body\">\n",
       "                        <p>Left clicking on a node in the partition tree will navigate to that node. Right clicking on a node\n",
       "                            in the partition tree will collapse/uncollapse it. A click on any element in the N^2 diagram\n",
       "                            will allow those arrows to persist.</p>\n",
       "                    </div>\n",
       "                    <div class=\"modal-footer\">\n",
       "                        OpenMDAO Partition Tree and N^2 diagram.\n",
       "                    </div>\n",
       "                </div>\n",
       "            </div>\n",
       "            <div id=\"toolbarLoc\">\n",
       "                <div class=\"toolbar\" id=\"toolbarDiv\">\n",
       "                    <div class=\"button-group\">\n",
       "                        <button class=\"myButton\" id=\"returnToRootButtonId\" disabled=\"disabled\" title=\"Return To Root\">\n",
       "                            <i class=\"icon-home\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"backButtonId\" disabled=\"disabled\" title=\"Back\">\n",
       "                            <i class=\"icon-left-big\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"forwardButtonId\" disabled=\"disabled\" title=\"Forward\">\n",
       "                            <i class=\"icon-right-big\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"upOneLevelButtonId\" disabled=\"disabled\" title=\"Up One Level\">\n",
       "                            <i class=\"icon-up-big\"></i>\n",
       "                        </button>\n",
       "                    </div>\n",
       "                    <div class=\"button-group\">\n",
       "                        <button class=\"myButton\" id=\"uncollapseInViewButtonId\" title=\"Uncollapse In View Only\">\n",
       "                            <i class=\"icon-resize-full\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"uncollapseAllButtonId\" title=\"Uncollapse All\">\n",
       "                            <i class=\"icon-resize-full bigger-font\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"collapseInViewButtonId\" title=\"Collapse Outputs In View Only\">\n",
       "                            <i class=\"icon-resize-small\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"collapseAllButtonId\" title=\"Collapse All Outputs\">\n",
       "                            <i class=\"icon-resize-small bigger-font\"></i>\n",
       "                        </button>\n",
       "                        <div class=\"dropdown\">\n",
       "                            <button class=\"myButton\" title=\"Collapse Depth\">\n",
       "                                <i class=\"icon-sort-number-up\"></i>\n",
       "                            </button>\n",
       "                            <div id=\"idCollapseDepthDiv\" class=\"dropdown-content\">\n",
       "                                <span class=\"fakeLink\">Collapse Depth</span>\n",
       "                            </div>\n",
       "                        </div>\n",
       "                    </div>\n",
       "                    <div class=\"button-group\">\n",
       "                        <button class=\"myButton\" id=\"clearArrowsAndConnectsButtonId\" title=\"Clear Arrows and Connections\">\n",
       "                            <i class=\"icon-eraser\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"showCurrentPathButtonId\" title=\"Show Path\">\n",
       "                            <i class=\"icon-terminal\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"showLegendButtonId\" title=\"Show Legend\">\n",
       "                            <i class=\"icon-map-signs\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"showParamsButtonId\" type=\"checkbox\" title=\"Show Params\">\n",
       "                            <i class=\"icon-exchange\"></i>\n",
       "                        </button>\n",
       "                        <button class=\"myButton\" id=\"toggleSolverNamesButtonId\" type=\"checkbox\" title=\"Toggle Solver Names\">\n",
       "                            <i class=\"icon-minus\"></i>\n",
       "                        </button>\n",
       "\n",
       "                        <div class=\"dropdown\">\n",
       "                            <button class=\"myButton\" title=\"Font Size\">\n",
       "                                <i class=\"icon-text-height\"></i>\n",
       "                            </button>\n",
       "                            <div class=\"dropdown-content\">\n",
       "                                <span class=\"fakeLink\">Font Size</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize8px\">8px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize9px\">9px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize10px\">10px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize11px\"><b>11px</b></span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize12px\">12px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize13px\">13px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idFontSize14px\">14px</span>\n",
       "                            </div>\n",
       "                        </div>\n",
       "                        <div class=\"dropdown\">\n",
       "                            <button class=\"myButton\" title=\"Vertically Resize\">\n",
       "                                <i class=\"icon-resize-vertical\"></i>\n",
       "                            </button>\n",
       "                            <div class=\"dropdown-content\">\n",
       "                                <span class=\"fakeLink\">Model Height</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize600px\"><b>600px</b></span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize650px\">650px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize700px\">700px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize750px\">750px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize800px\">800px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize850px\">850px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize900px\">900px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize950px\">950px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize1000px\">1000px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize2000px\">2000px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize3000px\">3000px</span>\n",
       "                                <span class=\"fakeLink\" id=\"idVerticalResize4000px\">4000px</span>\n",
       "                            </div>\n",
       "                        </div>\n",
       "                    </div>\n",
       "                    <div class=\"button-group\">\n",
       "                        <button class=\"myButton\" id=\"saveSvgButtonId\" title=\"Save SVG\">\n",
       "                            <i class=\"icon-floppy\"></i>\n",
       "                        </button>\n",
       "                    </div>\n",
       "                    <div class=\"button-group\">\n",
       "                        <button class=\"myButton\" id=\"helpButtonId\" title=\"Help\">\n",
       "                            <i class=\"icon-help\"></i>\n",
       "                        </button>\n",
       "                    </div>\n",
       "                </div>\n",
       "            </div>\n",
       "            <div style=\"margin-top:5px;\">\n",
       "                <input type=\"text\" id=\"awesompleteId\" size=\"80\" />\n",
       "                <button class=\"myButton\" id=\"searchButtonId\" title=\"Search\"><i class=\"icon-search\"></i></button>\n",
       "                <label id=\"searchCountId\" style=\"display:inline-block;width:120px\"></label>\n",
       "            </div>\n",
       "            <!--<select id=\"outputNamingSelect\" onchange=\"OutputNameSelectChange()\" style=\"display:none\">-->\n",
       "            <div id=\"currentPathId\" class=\"path_string\" style=\"display:none\"></div>\n",
       "            <div id=\"d3_content_div\"></div>\n",
       "            <div id=\"connectionId\">\n",
       "            </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    <nav id=\"context-menu\" class=\"context-menu\">\n",
       "        <ul class=\"context-menu__items\">\n",
       "            <li class=\"context-menu__items\">\n",
       "                <a href='#' class=\"context-menu__link\" id=\"collapseButton\" data-action=\"Collapse\"><i class=\"fa fa-eye\"></i> Collapse/Uncollapse</a>\n",
       "            </li>\n",
       "            <li class=\"context-menu__items\">\n",
       "                <a href='#' class=\"context-menu__link\" id=\"texButton\" data-action=\"View\"><i class=\"fa fa-eye\"></i>Change Name</a>\n",
       "            </li>\n",
       "        </ul>\n",
       "    </nav>\n",
       "    <div id=\"katexTest\" class=\"katex\"></div>\n",
       "    <div id=\"katexInputDiv\" style=\"display: none\">\n",
       "        <input id=\"katexInput\"></input>\n",
       "    </div>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "// https://d3js.org Version 4.1.1. Copyright 2016 Mike Bostock.\n",
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       "\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "/**\n",
       " * Simple, lightweight, usable local autocomplete library for modern browsers\n",
       " * Because there weren’t enough autocomplete scripts in the world? Because I’m completely insane and have NIH syndrome? Probably both. :P\n",
       " * @author Lea Verou http://leaverou.github.io/awesomplete\n",
       " * MIT license\n",
       " */\n",
       "\n",
       "(function () {\n",
       "\n",
       "var _ = function (input, o) {\n",
       "\tvar me = this;\n",
       "\n",
       "\t// Setup\n",
       "\n",
       "\tthis.isOpened = false;\n",
       "\n",
       "\tthis.input = $(input);\n",
       "\tthis.input.setAttribute(\"autocomplete\", \"off\");\n",
       "\tthis.input.setAttribute(\"aria-autocomplete\", \"list\");\n",
       "\n",
       "\to = o || {};\n",
       "\n",
       "\tconfigure(this, {\n",
       "\t\tminChars: 2,\n",
       "\t\tmaxItems: 10,\n",
       "\t\tautoFirst: false,\n",
       "\t\tdata: _.DATA,\n",
       "\t\tfilter: _.FILTER_CONTAINS,\n",
       "\t\tsort: _.SORT_BYLENGTH,\n",
       "\t\titem: _.ITEM,\n",
       "\t\treplace: _.REPLACE\n",
       "\t}, o);\n",
       "\n",
       "\tthis.index = -1;\n",
       "\n",
       "\t// Create necessary elements\n",
       "\n",
       "\tthis.container = $.create(\"div\", {\n",
       "\t\tclassName: \"awesomplete\",\n",
       "\t\taround: input\n",
       "\t});\n",
       "\n",
       "\tthis.ul = $.create(\"ul\", {\n",
       "\t\thidden: \"hidden\",\n",
       "\t\tinside: this.container\n",
       "\t});\n",
       "\n",
       "\tthis.status = $.create(\"span\", {\n",
       "\t\tclassName: \"visually-hidden\",\n",
       "\t\trole: \"status\",\n",
       "\t\t\"aria-live\": \"assertive\",\n",
       "\t\t\"aria-relevant\": \"additions\",\n",
       "\t\tinside: this.container\n",
       "\t});\n",
       "\n",
       "\t// Bind events\n",
       "\n",
       "\t$.bind(this.input, {\n",
       "\t\t\"input\": this.evaluate.bind(this),\n",
       "\t\t\"blur\": this.close.bind(this, { reason: \"blur\" }),\n",
       "\t\t\"keydown\": function(evt) {\n",
       "\t\t\tvar c = evt.keyCode;\n",
       "\n",
       "\t\t\t// If the dropdown `ul` is in view, then act on keydown for the following keys:\n",
       "\t\t\t// Enter / Esc / Up / Down\n",
       "\t\t\tif(me.opened) {\n",
       "\t\t\t\tif (c === 13 && me.selected) { // Enter\n",
       "\t\t\t\t\tevt.preventDefault();\n",
       "\t\t\t\t\tme.select();\n",
       "\t\t\t\t}\n",
       "\t\t\t\telse if (c === 27) { // Esc\n",
       "\t\t\t\t\tme.close({ reason: \"esc\" });\n",
       "\t\t\t\t}\n",
       "\t\t\t\telse if (c === 38 || c === 40) { // Down/Up arrow\n",
       "\t\t\t\t\tevt.preventDefault();\n",
       "\t\t\t\t\tme[c === 38? \"previous\" : \"next\"]();\n",
       "\t\t\t\t}\n",
       "\t\t\t}\n",
       "\t\t}\n",
       "\t});\n",
       "\n",
       "\t$.bind(this.input.form, {\"submit\": this.close.bind(this, { reason: \"submit\" })});\n",
       "\n",
       "\t$.bind(this.ul, {\"mousedown\": function(evt) {\n",
       "\t\tvar li = evt.target;\n",
       "\n",
       "\t\tif (li !== this) {\n",
       "\n",
       "\t\t\twhile (li && !/li/i.test(li.nodeName)) {\n",
       "\t\t\t\tli = li.parentNode;\n",
       "\t\t\t}\n",
       "\n",
       "\t\t\tif (li && evt.button === 0) {  // Only select on left click\n",
       "\t\t\t\tevt.preventDefault();\n",
       "\t\t\t\tme.select(li, evt.target);\n",
       "\t\t\t}\n",
       "\t\t}\n",
       "\t}});\n",
       "\n",
       "\tif (this.input.hasAttribute(\"list\")) {\n",
       "\t\tthis.list = \"#\" + this.input.getAttribute(\"list\");\n",
       "\t\tthis.input.removeAttribute(\"list\");\n",
       "\t}\n",
       "\telse {\n",
       "\t\tthis.list = this.input.getAttribute(\"data-list\") || o.list || [];\n",
       "\t}\n",
       "\n",
       "\t_.all.push(this);\n",
       "};\n",
       "\n",
       "_.prototype = {\n",
       "\tset list(list) {\n",
       "\t\tif (Array.isArray(list)) {\n",
       "\t\t\tthis._list = list;\n",
       "\t\t}\n",
       "\t\telse if (typeof list === \"string\" && list.indexOf(\",\") > -1) {\n",
       "\t\t\t\tthis._list = list.split(/\\s*,\\s*/);\n",
       "\t\t}\n",
       "\t\telse { // Element or CSS selector\n",
       "\t\t\tlist = $(list);\n",
       "\n",
       "\t\t\tif (list && list.children) {\n",
       "\t\t\t\tvar items = [];\n",
       "\t\t\t\tslice.apply(list.children).forEach(function (el) {\n",
       "\t\t\t\t\tif (!el.disabled) {\n",
       "\t\t\t\t\t\tvar text = el.textContent.trim();\n",
       "\t\t\t\t\t\tvar value = el.value || text;\n",
       "\t\t\t\t\t\tvar label = el.label || text;\n",
       "\t\t\t\t\t\tif (value !== \"\") {\n",
       "\t\t\t\t\t\t\titems.push({ label: label, value: value });\n",
       "\t\t\t\t\t\t}\n",
       "\t\t\t\t\t}\n",
       "\t\t\t\t});\n",
       "\t\t\t\tthis._list = items;\n",
       "\t\t\t}\n",
       "\t\t}\n",
       "\n",
       "\t\tif (document.activeElement === this.input) {\n",
       "\t\t\tthis.evaluate();\n",
       "\t\t}\n",
       "\t},\n",
       "\n",
       "\tget selected() {\n",
       "\t\treturn this.index > -1;\n",
       "\t},\n",
       "\n",
       "\tget opened() {\n",
       "\t\treturn this.isOpened;\n",
       "\t},\n",
       "\n",
       "\tclose: function (o) {\n",
       "\t\tif (!this.opened) {\n",
       "\t\t\treturn;\n",
       "\t\t}\n",
       "\n",
       "\t\tthis.ul.setAttribute(\"hidden\", \"\");\n",
       "\t\tthis.isOpened = false;\n",
       "\t\tthis.index = -1;\n",
       "\n",
       "\t\t$.fire(this.input, \"awesomplete-close\", o || {});\n",
       "\t},\n",
       "\n",
       "\topen: function () {\n",
       "\t\tthis.ul.removeAttribute(\"hidden\");\n",
       "\t\tthis.isOpened = true;\n",
       "\n",
       "\t\tif (this.autoFirst && this.index === -1) {\n",
       "\t\t\tthis.goto(0);\n",
       "\t\t}\n",
       "\n",
       "\t\t$.fire(this.input, \"awesomplete-open\");\n",
       "\t},\n",
       "\n",
       "\tnext: function () {\n",
       "\t\tvar count = this.ul.children.length;\n",
       "\t\tthis.goto(this.index < count - 1 ? this.index + 1 : (count ? 0 : -1) );\n",
       "\t},\n",
       "\n",
       "\tprevious: function () {\n",
       "\t\tvar count = this.ul.children.length;\n",
       "\t\tvar pos = this.index - 1;\n",
       "\n",
       "\t\tthis.goto(this.selected && pos !== -1 ? pos : count - 1);\n",
       "\t},\n",
       "\n",
       "\t// Should not be used, highlights specific item without any checks!\n",
       "\tgoto: function (i) {\n",
       "\t\tvar lis = this.ul.children;\n",
       "\n",
       "\t\tif (this.selected) {\n",
       "\t\t\tlis[this.index].setAttribute(\"aria-selected\", \"false\");\n",
       "\t\t}\n",
       "\n",
       "\t\tthis.index = i;\n",
       "\n",
       "\t\tif (i > -1 && lis.length > 0) {\n",
       "\t\t\tlis[i].setAttribute(\"aria-selected\", \"true\");\n",
       "\t\t\tthis.status.textContent = lis[i].textContent;\n",
       "\n",
       "\t\t\t$.fire(this.input, \"awesomplete-highlight\", {\n",
       "\t\t\t\ttext: this.suggestions[this.index]\n",
       "\t\t\t});\n",
       "\t\t}\n",
       "\t},\n",
       "\n",
       "\tselect: function (selected, origin) {\n",
       "\t\tif (selected) {\n",
       "\t\t\tthis.index = $.siblingIndex(selected);\n",
       "\t\t} else {\n",
       "\t\t\tselected = this.ul.children[this.index];\n",
       "\t\t}\n",
       "\n",
       "\t\tif (selected) {\n",
       "\t\t\tvar suggestion = this.suggestions[this.index];\n",
       "\n",
       "\t\t\tvar allowed = $.fire(this.input, \"awesomplete-select\", {\n",
       "\t\t\t\ttext: suggestion,\n",
       "\t\t\t\torigin: origin || selected\n",
       "\t\t\t});\n",
       "\n",
       "\t\t\tif (allowed) {\n",
       "\t\t\t\tthis.replace(suggestion);\n",
       "\t\t\t\tthis.close({ reason: \"select\" });\n",
       "\t\t\t\t$.fire(this.input, \"awesomplete-selectcomplete\", {\n",
       "\t\t\t\t\ttext: suggestion\n",
       "\t\t\t\t});\n",
       "\t\t\t}\n",
       "\t\t}\n",
       "\t},\n",
       "\n",
       "\tevaluate: function() {\n",
       "\t\tvar me = this;\n",
       "\t\tvar value = this.input.value;\n",
       "\n",
       "\t\tif (value.length >= this.minChars && this._list.length > 0) {\n",
       "\t\t\tthis.index = -1;\n",
       "\t\t\t// Populate list with options that match\n",
       "\t\t\tthis.ul.innerHTML = \"\";\n",
       "\n",
       "\t\t\tthis.suggestions = this._list\n",
       "\t\t\t\t.map(function(item) {\n",
       "\t\t\t\t\treturn new Suggestion(me.data(item, value));\n",
       "\t\t\t\t})\n",
       "\t\t\t\t.filter(function(item) {\n",
       "\t\t\t\t\treturn me.filter(item, value);\n",
       "\t\t\t\t})\n",
       "\t\t\t\t.sort(this.sort)\n",
       "\t\t\t\t.slice(0, this.maxItems);\n",
       "\n",
       "\t\t\tthis.suggestions.forEach(function(text) {\n",
       "\t\t\t\t\tme.ul.appendChild(me.item(text, value));\n",
       "\t\t\t\t});\n",
       "\n",
       "\t\t\tif (this.ul.children.length === 0) {\n",
       "\t\t\t\tthis.close({ reason: \"nomatches\" });\n",
       "\t\t\t} else {\n",
       "\t\t\t\tthis.open();\n",
       "\t\t\t}\n",
       "\t\t}\n",
       "\t\telse {\n",
       "\t\t\tthis.close({ reason: \"nomatches\" });\n",
       "\t\t}\n",
       "\t}\n",
       "};\n",
       "\n",
       "// Static methods/properties\n",
       "\n",
       "_.all = [];\n",
       "\n",
       "_.FILTER_CONTAINS = function (text, input) {\n",
       "\treturn RegExp($.regExpEscape(input.trim()), \"i\").test(text);\n",
       "};\n",
       "\n",
       "_.FILTER_STARTSWITH = function (text, input) {\n",
       "\treturn RegExp(\"^\" + $.regExpEscape(input.trim()), \"i\").test(text);\n",
       "};\n",
       "\n",
       "_.SORT_BYLENGTH = function (a, b) {\n",
       "\tif (a.length !== b.length) {\n",
       "\t\treturn a.length - b.length;\n",
       "\t}\n",
       "\n",
       "\treturn a < b? -1 : 1;\n",
       "};\n",
       "\n",
       "_.ITEM = function (text, input) {\n",
       "\tvar html = input === '' ? text : text.replace(RegExp($.regExpEscape(input.trim()), \"gi\"), \"<mark>$&</mark>\");\n",
       "\treturn $.create(\"li\", {\n",
       "\t\tinnerHTML: html,\n",
       "\t\t\"aria-selected\": \"false\"\n",
       "\t});\n",
       "};\n",
       "\n",
       "_.REPLACE = function (text) {\n",
       "\tthis.input.value = text.value;\n",
       "};\n",
       "\n",
       "_.DATA = function (item/*, input*/) { return item; };\n",
       "\n",
       "// Private functions\n",
       "\n",
       "function Suggestion(data) {\n",
       "\tvar o = Array.isArray(data)\n",
       "\t  ? { label: data[0], value: data[1] }\n",
       "\t  : typeof data === \"object\" && \"label\" in data && \"value\" in data ? data : { label: data, value: data };\n",
       "\n",
       "\tthis.label = o.label || o.value;\n",
       "\tthis.value = o.value;\n",
       "}\n",
       "Object.defineProperty(Suggestion.prototype = Object.create(String.prototype), \"length\", {\n",
       "\tget: function() { return this.label.length; }\n",
       "});\n",
       "Suggestion.prototype.toString = Suggestion.prototype.valueOf = function () {\n",
       "\treturn \"\" + this.label;\n",
       "};\n",
       "\n",
       "function configure(instance, properties, o) {\n",
       "\tfor (var i in properties) {\n",
       "\t\tvar initial = properties[i],\n",
       "\t\t    attrValue = instance.input.getAttribute(\"data-\" + i.toLowerCase());\n",
       "\n",
       "\t\tif (typeof initial === \"number\") {\n",
       "\t\t\tinstance[i] = parseInt(attrValue);\n",
       "\t\t}\n",
       "\t\telse if (initial === false) { // Boolean options must be false by default anyway\n",
       "\t\t\tinstance[i] = attrValue !== null;\n",
       "\t\t}\n",
       "\t\telse if (initial instanceof Function) {\n",
       "\t\t\tinstance[i] = null;\n",
       "\t\t}\n",
       "\t\telse {\n",
       "\t\t\tinstance[i] = attrValue;\n",
       "\t\t}\n",
       "\n",
       "\t\tif (!instance[i] && instance[i] !== 0) {\n",
       "\t\t\tinstance[i] = (i in o)? o[i] : initial;\n",
       "\t\t}\n",
       "\t}\n",
       "}\n",
       "\n",
       "// Helpers\n",
       "\n",
       "var slice = Array.prototype.slice;\n",
       "\n",
       "function $(expr, con) {\n",
       "\treturn typeof expr === \"string\"? (con || document).querySelector(expr) : expr || null;\n",
       "}\n",
       "\n",
       "function $$(expr, con) {\n",
       "\treturn slice.call((con || document).querySelectorAll(expr));\n",
       "}\n",
       "\n",
       "$.create = function(tag, o) {\n",
       "\tvar element = document.createElement(tag);\n",
       "\n",
       "\tfor (var i in o) {\n",
       "\t\tvar val = o[i];\n",
       "\n",
       "\t\tif (i === \"inside\") {\n",
       "\t\t\t$(val).appendChild(element);\n",
       "\t\t}\n",
       "\t\telse if (i === \"around\") {\n",
       "\t\t\tvar ref = $(val);\n",
       "\t\t\tref.parentNode.insertBefore(element, ref);\n",
       "\t\t\telement.appendChild(ref);\n",
       "\t\t}\n",
       "\t\telse if (i in element) {\n",
       "\t\t\telement[i] = val;\n",
       "\t\t}\n",
       "\t\telse {\n",
       "\t\t\telement.setAttribute(i, val);\n",
       "\t\t}\n",
       "\t}\n",
       "\n",
       "\treturn element;\n",
       "};\n",
       "\n",
       "$.bind = function(element, o) {\n",
       "\tif (element) {\n",
       "\t\tfor (var event in o) {\n",
       "\t\t\tvar callback = o[event];\n",
       "\n",
       "\t\t\tevent.split(/\\s+/).forEach(function (event) {\n",
       "\t\t\t\telement.addEventListener(event, callback);\n",
       "\t\t\t});\n",
       "\t\t}\n",
       "\t}\n",
       "};\n",
       "\n",
       "$.fire = function(target, type, properties) {\n",
       "\tvar evt = document.createEvent(\"HTMLEvents\");\n",
       "\n",
       "\tevt.initEvent(type, true, true );\n",
       "\n",
       "\tfor (var j in properties) {\n",
       "\t\tevt[j] = properties[j];\n",
       "\t}\n",
       "\n",
       "\treturn target.dispatchEvent(evt);\n",
       "};\n",
       "\n",
       "$.regExpEscape = function (s) {\n",
       "\treturn s.replace(/[-\\\\^$*+?.()|[\\]{}]/g, \"\\\\$&\");\n",
       "};\n",
       "\n",
       "$.siblingIndex = function (el) {\n",
       "\t/* eslint-disable no-cond-assign */\n",
       "\tfor (var i = 0; el = el.previousElementSibling; i++);\n",
       "\treturn i;\n",
       "};\n",
       "\n",
       "// Initialization\n",
       "\n",
       "function init() {\n",
       "\t$$(\"input.awesomplete\").forEach(function (input) {\n",
       "\t\tnew _(input);\n",
       "\t});\n",
       "}\n",
       "\n",
       "// Are we in a browser? Check for Document constructor\n",
       "if (typeof Document !== \"undefined\") {\n",
       "\t// DOM already loaded?\n",
       "\tif (document.readyState !== \"loading\") {\n",
       "\t\tinit();\n",
       "\t}\n",
       "\telse {\n",
       "\t\t// Wait for it\n",
       "\t\tdocument.addEventListener(\"DOMContentLoaded\", init);\n",
       "\t}\n",
       "}\n",
       "\n",
       "_.$ = $;\n",
       "_.$$ = $$;\n",
       "\n",
       "// Make sure to export Awesomplete on self when in a browser\n",
       "if (typeof self !== \"undefined\") {\n",
       "\tself.Awesomplete = _;\n",
       "}\n",
       "\n",
       "// Expose Awesomplete as a CJS module\n",
       "if (typeof module === \"object\" && module.exports) {\n",
       "\tmodule.exports = _;\n",
       "}\n",
       "\n",
       "return _;\n",
       "\n",
       "}());\n",
       "\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "/**\n",
       "* vkBeautify - javascript plugin to pretty-print or minify text in XML, JSON, CSS and SQL formats.\n",
       "*\n",
       "* Version - 0.99.00.beta\n",
       "* Copyright (c) 2012 Vadim Kiryukhin\n",
       "* vkiryukhin @ gmail.com\n",
       "* http://www.eslinstructor.net/vkbeautify/\n",
       "*\n",
       "* MIT license:\n",
       "*   http://www.opensource.org/licenses/mit-license.php\n",
       "*\n",
       "*   Pretty print\n",
       "*\n",
       "*        vkbeautify.xml(text [,indent_pattern]);\n",
       "*\n",
       "*\n",
       "*        @text - String; text to beatufy;\n",
       "*        @indent_pattern - Integer | String;\n",
       "*                Integer:  number of white spaces;\n",
       "*                String:   character string to visualize indentation ( can also be a set of white spaces )\n",
       "*/\n",
       "\n",
       "(function() {\n",
       "\n",
       "    function createShiftArr(step) {\n",
       "\n",
       "        var space = '    ';\n",
       "\n",
       "        if ( isNaN(parseInt(step)) ) {  // argument is string\n",
       "            space = step;\n",
       "        } else { // argument is integer\n",
       "            switch(step) {\n",
       "                case 1: space = ' '; break;\n",
       "                case 2: space = '  '; break;\n",
       "                case 3: space = '   '; break;\n",
       "                case 4: space = '    '; break;\n",
       "                case 5: space = '     '; break;\n",
       "                case 6: space = '      '; break;\n",
       "                case 7: space = '       '; break;\n",
       "                case 8: space = '        '; break;\n",
       "                case 9: space = '         '; break;\n",
       "                case 10: space = '          '; break;\n",
       "                case 11: space = '           '; break;\n",
       "                case 12: space = '            '; break;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        var shift = ['\\n']; // array of shifts\n",
       "        for(ix=0;ix<100;ix++){\n",
       "            shift.push(shift[ix]+space);\n",
       "        }\n",
       "        return shift;\n",
       "    }\n",
       "\n",
       "    function vkbeautify(){\n",
       "        this.step = '\\t'; // 4 spaces\n",
       "        this.shift = createShiftArr(this.step);\n",
       "    };\n",
       "\n",
       "    vkbeautify.prototype.xml = function(text,step) {\n",
       "\n",
       "        var ar = text.replace(/>\\s{0,}</g,\"><\")\n",
       "                        .replace(/</g,\"~::~<\")\n",
       "                        .replace(/\\s*xmlns\\:/g,\"~::~xmlns:\")\n",
       "                        .replace(/\\s*xmlns\\=/g,\"~::~xmlns=\")\n",
       "                        .split('~::~'),\n",
       "            len = ar.length,\n",
       "            inComment = false,\n",
       "            deep = 0,\n",
       "            str = '',\n",
       "            ix = 0,\n",
       "            shift = step ? createShiftArr(step) : this.shift;\n",
       "\n",
       "            for(ix=0;ix<len;ix++) {\n",
       "                // start comment or <![CDATA[...]]> or <!DOCTYPE //\n",
       "                if(ar[ix].search(/<!/) > -1) {\n",
       "                    str += shift[deep]+ar[ix];\n",
       "                    inComment = true;\n",
       "                    // end comment  or <![CDATA[...]]> //\n",
       "                    if(ar[ix].search(/-->/) > -1 || ar[ix].search(/\\]>/) > -1 || ar[ix].search(/!DOCTYPE/) > -1 ) {\n",
       "                        inComment = false;\n",
       "                    }\n",
       "                } else\n",
       "                // end comment  or <![CDATA[...]]> //\n",
       "                if(ar[ix].search(/-->/) > -1 || ar[ix].search(/\\]>/) > -1) {\n",
       "                    str += ar[ix];\n",
       "                    inComment = false;\n",
       "                } else\n",
       "                // <elm></elm> //\n",
       "                if( /^<\\w/.exec(ar[ix-1]) && /^<\\/\\w/.exec(ar[ix]) &&\n",
       "                    /^<[\\w:\\-\\.\\,]+/.exec(ar[ix-1]) == /^<\\/[\\w:\\-\\.\\,]+/.exec(ar[ix])[0].replace('/','')) {\n",
       "                    str += ar[ix];\n",
       "                    if(!inComment) deep--;\n",
       "                } else\n",
       "                    // <elm> //\n",
       "                if(ar[ix].search(/<\\w/) > -1 && ar[ix].search(/<\\//) == -1 && ar[ix].search(/\\/>/) == -1 ) {\n",
       "                    str = !inComment ? str += shift[deep++]+ar[ix] : str += ar[ix];\n",
       "                } else\n",
       "                    // <elm>...</elm> //\n",
       "                if(ar[ix].search(/<\\w/) > -1 && ar[ix].search(/<\\//) > -1) {\n",
       "                    str = !inComment ? str += shift[deep]+ar[ix] : str += ar[ix];\n",
       "                } else\n",
       "                // </elm> //\n",
       "                if(ar[ix].search(/<\\//) > -1) {\n",
       "                    str = !inComment ? str += shift[--deep]+ar[ix] : str += ar[ix];\n",
       "                } else\n",
       "                // <elm/> //\n",
       "                if(ar[ix].search(/\\/>/) > -1 ) {\n",
       "                    str = !inComment ? str += shift[deep]+ar[ix] : str += ar[ix];\n",
       "                } else\n",
       "                // <? xml ... ?> //\n",
       "                if(ar[ix].search(/<\\?/) > -1) {\n",
       "                    str += shift[deep]+ar[ix];\n",
       "                } else\n",
       "                // xmlns //\n",
       "                if( ar[ix].search(/xmlns\\:/) > -1  || ar[ix].search(/xmlns\\=/) > -1) {\n",
       "                    str += shift[deep]+ar[ix];\n",
       "                }\n",
       "\n",
       "                else {\n",
       "                    str += ar[ix];\n",
       "                }\n",
       "            }\n",
       "\n",
       "        return  (str[0] == '\\n') ? str.slice(1) : str;\n",
       "    }\n",
       "\n",
       "    window.vkbeautify = new vkbeautify();\n",
       "\n",
       "})();\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "var modelData = {\"tree\": {\"name\": \"root\", \"type\": \"root\", \"subsystem_type\": \"group\", \"linear_solver\": \"LN: RUNONCE\", \"nonlinear_solver\": \"NL: RUNONCE\", \"children\": [{\"name\": \"indeps\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Diameter_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Diameter_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Mass_flow_rate_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Mass_flow_rate_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Thrust_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Thrust_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pc_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pc_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pe_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pe_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"N_eng_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"N_eng_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Prop_mass_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Prop_mass_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pdyn_max_dim\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"thetacmd_i\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"thetacmd_f\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"ksi\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Pitch_over_duration\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Exit_nozzle_area_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Exit_nozzle_area_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Delta_vertical_phase\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Delta_theta_pitch_over\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"command_stage_1_exo\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}, {\"name\": \"cycle\", \"type\": \"subsystem\", \"subsystem_type\": \"group\", \"linear_solver\": \"LN: RUNONCE\", \"nonlinear_solver\": \"NL: RUNONCE\", \"children\": [{\"name\": \"Propu\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Pc_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Pe_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Pc_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Pe_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Isp_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Isp_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}, {\"name\": \"Struct_1\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Diameter_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"N_eng_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Diameter_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Isp_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Prop_mass_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Thrust_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Pdyn_max_dim\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Dry_mass_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}, {\"name\": \"Struct_2\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Prop_mass_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Dry_mass_stage_2\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}, {\"name\": \"Aero\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Table_CX_complete_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Mach_table\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"AoA_table\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}, {\"name\": \"Traj\", \"type\": \"subsystem\", \"subsystem_type\": \"component\", \"linear_solver\": \"\", \"nonlinear_solver\": \"\", \"children\": [{\"name\": \"Diameter_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Diameter_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Mass_flow_rate_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Mass_flow_rate_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"N_eng_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"N_eng_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"OF_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Isp_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Isp_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Prop_mass_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Prop_mass_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Dry_mass_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Dry_mass_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Pitch_over_duration\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"thetacmd_i\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"thetacmd_f\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"ksi\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Exit_nozzle_area_stage_1\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Exit_nozzle_area_stage_2\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Delta_vertical_phase\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Delta_theta_pitch_over\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Table_CX_complete_ascent\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"Mach_table\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"AoA_table\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"command_stage_1_exo\", \"type\": \"param\", \"dtype\": \"ndarray\"}, {\"name\": \"T_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"alt_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"flux_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"r_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"V_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"theta_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"alpha_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"nx_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"alpha_cont\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Nb_pt_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"m_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"CX_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"GLOW\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"lat_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"gamma_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"longi_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"thrust_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"mass_flow_rate_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"Mach_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"pdyn_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"rho_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"distance_ascent\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"state_separation_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}, {\"name\": \"max_pdyn_load_ascent_stage_1\", \"type\": \"unknown\", \"implicit\": false, \"dtype\": \"ndarray\"}]}]}]}, \"connections_list\": [{\"src\": \"indeps.OF_stage_1\", \"tgt\": \"cycle.Propu.OF_stage_1\"}, {\"src\": \"indeps.OF_stage_2\", \"tgt\": \"cycle.Propu.OF_stage_2\"}, {\"src\": \"indeps.Pc_stage_1\", \"tgt\": \"cycle.Propu.Pc_stage_1\"}, {\"src\": \"indeps.Pc_stage_2\", \"tgt\": \"cycle.Propu.Pc_stage_2\"}, {\"src\": \"indeps.Pe_stage_1\", \"tgt\": \"cycle.Propu.Pe_stage_1\"}, {\"src\": \"indeps.Pe_stage_2\", \"tgt\": \"cycle.Propu.Pe_stage_2\"}, {\"src\": \"indeps.Diameter_stage_1\", \"tgt\": \"cycle.Struct_1.Diameter_stage_1\"}, {\"src\": \"indeps.Diameter_stage_2\", \"tgt\": \"cycle.Struct_1.Diameter_stage_2\"}, {\"src\": \"cycle.Propu.Isp_stage_1\", \"tgt\": \"cycle.Struct_1.Isp_stage_1\"}, {\"src\": \"indeps.N_eng_stage_1\", \"tgt\": \"cycle.Struct_1.N_eng_stage_1\"}, {\"src\": \"indeps.OF_stage_1\", \"tgt\": \"cycle.Struct_1.OF_stage_1\"}, {\"src\": \"indeps.Pdyn_max_dim\", \"tgt\": \"cycle.Struct_1.Pdyn_max_dim\"}, {\"src\": \"indeps.Prop_mass_stage_1\", \"tgt\": \"cycle.Struct_1.Prop_mass_stage_1\"}, {\"src\": \"indeps.Thrust_stage_1\", \"tgt\": \"cycle.Struct_1.Thrust_stage_1\"}, {\"src\": \"indeps.Prop_mass_stage_2\", \"tgt\": \"cycle.Struct_2.Prop_mass_stage_2\"}, {\"src\": \"cycle.Aero.AoA_table\", \"tgt\": \"cycle.Traj.AoA_table\"}, {\"src\": \"indeps.Delta_theta_pitch_over\", \"tgt\": \"cycle.Traj.Delta_theta_pitch_over\"}, {\"src\": \"indeps.Delta_vertical_phase\", \"tgt\": \"cycle.Traj.Delta_vertical_phase\"}, {\"src\": \"indeps.Diameter_stage_1\", \"tgt\": \"cycle.Traj.Diameter_stage_1\"}, {\"src\": \"indeps.Diameter_stage_2\", \"tgt\": \"cycle.Traj.Diameter_stage_2\"}, {\"src\": \"cycle.Struct_1.Dry_mass_stage_1\", \"tgt\": \"cycle.Traj.Dry_mass_stage_1\"}, {\"src\": \"cycle.Struct_2.Dry_mass_stage_2\", \"tgt\": \"cycle.Traj.Dry_mass_stage_2\"}, {\"src\": \"indeps.Exit_nozzle_area_stage_1\", \"tgt\": \"cycle.Traj.Exit_nozzle_area_stage_1\"}, {\"src\": \"indeps.Exit_nozzle_area_stage_2\", \"tgt\": \"cycle.Traj.Exit_nozzle_area_stage_2\"}, {\"src\": \"cycle.Propu.Isp_stage_1\", \"tgt\": \"cycle.Traj.Isp_stage_1\"}, {\"src\": \"cycle.Propu.Isp_stage_2\", \"tgt\": \"cycle.Traj.Isp_stage_2\"}, {\"src\": \"cycle.Aero.Mach_table\", \"tgt\": \"cycle.Traj.Mach_table\"}, {\"src\": \"indeps.Mass_flow_rate_stage_1\", \"tgt\": \"cycle.Traj.Mass_flow_rate_stage_1\"}, {\"src\": \"indeps.Mass_flow_rate_stage_2\", \"tgt\": \"cycle.Traj.Mass_flow_rate_stage_2\"}, {\"src\": \"indeps.N_eng_stage_1\", \"tgt\": \"cycle.Traj.N_eng_stage_1\"}, {\"src\": \"indeps.N_eng_stage_2\", \"tgt\": \"cycle.Traj.N_eng_stage_2\"}, {\"src\": \"indeps.OF_stage_1\", \"tgt\": \"cycle.Traj.OF_stage_1\"}, {\"src\": \"indeps.OF_stage_2\", \"tgt\": \"cycle.Traj.OF_stage_2\"}, {\"src\": \"indeps.Pitch_over_duration\", \"tgt\": \"cycle.Traj.Pitch_over_duration\"}, {\"src\": \"indeps.Prop_mass_stage_1\", \"tgt\": \"cycle.Traj.Prop_mass_stage_1\"}, {\"src\": \"indeps.Prop_mass_stage_2\", \"tgt\": \"cycle.Traj.Prop_mass_stage_2\"}, {\"src\": \"cycle.Aero.Table_CX_complete_ascent\", \"tgt\": \"cycle.Traj.Table_CX_complete_ascent\"}, {\"src\": \"indeps.command_stage_1_exo\", \"tgt\": \"cycle.Traj.command_stage_1_exo\"}, {\"src\": \"indeps.ksi\", \"tgt\": \"cycle.Traj.ksi\"}, {\"src\": \"indeps.thetacmd_f\", \"tgt\": \"cycle.Traj.thetacmd_f\"}, {\"src\": \"indeps.thetacmd_i\", \"tgt\": \"cycle.Traj.thetacmd_i\"}], \"abs2prom\": {\"input\": {\"cycle.Propu.Pc_stage_1\": \"Pc_stage_1\", \"cycle.Propu.Pe_stage_1\": \"Pe_stage_1\", \"cycle.Propu.OF_stage_1\": \"OF_stage_1\", \"cycle.Propu.Pc_stage_2\": \"Pc_stage_2\", \"cycle.Propu.Pe_stage_2\": \"Pe_stage_2\", \"cycle.Propu.OF_stage_2\": \"OF_stage_2\", \"cycle.Struct_1.Diameter_stage_1\": \"Diameter_stage_1\", \"cycle.Struct_1.OF_stage_1\": \"OF_stage_1\", \"cycle.Struct_1.N_eng_stage_1\": \"N_eng_stage_1\", \"cycle.Struct_1.Diameter_stage_2\": \"Diameter_stage_2\", \"cycle.Struct_1.Isp_stage_1\": \"Isp_stage_1\", \"cycle.Struct_1.Prop_mass_stage_1\": \"Prop_mass_stage_1\", \"cycle.Struct_1.Thrust_stage_1\": \"Thrust_stage_1\", \"cycle.Struct_1.Pdyn_max_dim\": \"Pdyn_max_dim\", \"cycle.Struct_2.Prop_mass_stage_2\": \"Prop_mass_stage_2\", \"cycle.Traj.Diameter_stage_1\": \"Diameter_stage_1\", \"cycle.Traj.Diameter_stage_2\": \"Diameter_stage_2\", \"cycle.Traj.Mass_flow_rate_stage_1\": \"Mass_flow_rate_stage_1\", \"cycle.Traj.Mass_flow_rate_stage_2\": \"Mass_flow_rate_stage_2\", \"cycle.Traj.N_eng_stage_1\": \"N_eng_stage_1\", \"cycle.Traj.N_eng_stage_2\": \"N_eng_stage_2\", \"cycle.Traj.OF_stage_1\": \"OF_stage_1\", \"cycle.Traj.OF_stage_2\": \"OF_stage_2\", \"cycle.Traj.Isp_stage_1\": \"Isp_stage_1\", \"cycle.Traj.Isp_stage_2\": \"Isp_stage_2\", \"cycle.Traj.Prop_mass_stage_1\": \"Prop_mass_stage_1\", \"cycle.Traj.Prop_mass_stage_2\": \"Prop_mass_stage_2\", \"cycle.Traj.Dry_mass_stage_1\": \"Dry_mass_stage_1\", \"cycle.Traj.Dry_mass_stage_2\": \"Dry_mass_stage_2\", \"cycle.Traj.Pitch_over_duration\": \"Pitch_over_duration\", \"cycle.Traj.thetacmd_i\": \"thetacmd_i\", \"cycle.Traj.thetacmd_f\": \"thetacmd_f\", \"cycle.Traj.ksi\": \"ksi\", \"cycle.Traj.Exit_nozzle_area_stage_1\": \"Exit_nozzle_area_stage_1\", \"cycle.Traj.Exit_nozzle_area_stage_2\": \"Exit_nozzle_area_stage_2\", \"cycle.Traj.Delta_vertical_phase\": \"Delta_vertical_phase\", \"cycle.Traj.Delta_theta_pitch_over\": \"Delta_theta_pitch_over\", \"cycle.Traj.Table_CX_complete_ascent\": \"Table_CX_complete_ascent\", \"cycle.Traj.Mach_table\": \"Mach_table\", \"cycle.Traj.AoA_table\": \"AoA_table\", \"cycle.Traj.command_stage_1_exo\": \"command_stage_1_exo\"}, \"output\": {\"indeps.Diameter_stage_1\": \"Diameter_stage_1\", \"indeps.Diameter_stage_2\": \"Diameter_stage_2\", \"indeps.Mass_flow_rate_stage_1\": \"Mass_flow_rate_stage_1\", \"indeps.Mass_flow_rate_stage_2\": \"Mass_flow_rate_stage_2\", \"indeps.Thrust_stage_1\": \"Thrust_stage_1\", \"indeps.Thrust_stage_2\": \"Thrust_stage_2\", \"indeps.Pc_stage_1\": \"Pc_stage_1\", \"indeps.Pc_stage_2\": \"Pc_stage_2\", \"indeps.Pe_stage_1\": \"Pe_stage_1\", \"indeps.Pe_stage_2\": \"Pe_stage_2\", \"indeps.OF_stage_1\": \"OF_stage_1\", \"indeps.OF_stage_2\": \"OF_stage_2\", \"indeps.N_eng_stage_1\": \"N_eng_stage_1\", \"indeps.N_eng_stage_2\": \"N_eng_stage_2\", \"indeps.Prop_mass_stage_1\": \"Prop_mass_stage_1\", \"indeps.Prop_mass_stage_2\": \"Prop_mass_stage_2\", \"indeps.Pdyn_max_dim\": \"Pdyn_max_dim\", \"indeps.thetacmd_i\": \"thetacmd_i\", \"indeps.thetacmd_f\": \"thetacmd_f\", \"indeps.ksi\": \"ksi\", \"indeps.Pitch_over_duration\": \"Pitch_over_duration\", \"indeps.Exit_nozzle_area_stage_1\": \"Exit_nozzle_area_stage_1\", \"indeps.Exit_nozzle_area_stage_2\": \"Exit_nozzle_area_stage_2\", \"indeps.Delta_vertical_phase\": \"Delta_vertical_phase\", \"indeps.Delta_theta_pitch_over\": \"Delta_theta_pitch_over\", \"indeps.command_stage_1_exo\": \"command_stage_1_exo\", \"cycle.Propu.Isp_stage_1\": \"Isp_stage_1\", \"cycle.Propu.Isp_stage_2\": \"Isp_stage_2\", \"cycle.Struct_1.Dry_mass_stage_1\": \"Dry_mass_stage_1\", \"cycle.Struct_2.Dry_mass_stage_2\": \"Dry_mass_stage_2\", \"cycle.Aero.Table_CX_complete_ascent\": \"Table_CX_complete_ascent\", \"cycle.Aero.Mach_table\": \"Mach_table\", \"cycle.Aero.AoA_table\": \"AoA_table\", \"cycle.Traj.T_ascent\": \"T_ascent\", \"cycle.Traj.alt_ascent\": \"alt_ascent\", \"cycle.Traj.flux_ascent\": \"flux_ascent\", \"cycle.Traj.r_ascent\": \"r_ascent\", \"cycle.Traj.V_ascent\": \"V_ascent\", \"cycle.Traj.theta_ascent\": \"theta_ascent\", \"cycle.Traj.alpha_ascent\": \"alpha_ascent\", \"cycle.Traj.nx_ascent\": \"nx_ascent\", \"cycle.Traj.alpha_cont\": \"alpha_cont\", \"cycle.Traj.Nb_pt_ascent\": \"Nb_pt_ascent\", \"cycle.Traj.m_ascent\": \"m_ascent\", \"cycle.Traj.CX_ascent\": \"CX_ascent\", \"cycle.Traj.GLOW\": \"GLOW\", \"cycle.Traj.lat_ascent\": \"lat_ascent\", \"cycle.Traj.gamma_ascent\": \"gamma_ascent\", \"cycle.Traj.longi_ascent\": \"longi_ascent\", \"cycle.Traj.thrust_ascent\": \"thrust_ascent\", \"cycle.Traj.mass_flow_rate_ascent\": \"mass_flow_rate_ascent\", \"cycle.Traj.Mach_ascent\": \"Mach_ascent\", \"cycle.Traj.pdyn_ascent\": \"pdyn_ascent\", \"cycle.Traj.rho_ascent\": \"rho_ascent\", \"cycle.Traj.distance_ascent\": \"distance_ascent\", \"cycle.Traj.state_separation_stage_1\": \"state_separation_stage_1\", \"cycle.Traj.max_pdyn_load_ascent_stage_1\": \"max_pdyn_load_ascent_stage_1\"}}}\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "// From Isaias Reyes\n",
       "var CONNECTION_COLOR = \"black\",\n",
       "   UNKNOWN_IMPLICIT_COLOR = \"#c7d06d\",\n",
       "   UNKNOWN_EXPLICIT_COLOR = \"#9ec4c7\",\n",
       "   N2_COMPONENT_BOX_COLOR = \"#555\",\n",
       "   N2_BACKGROUND_COLOR = \"#eee\",\n",
       "   N2_GRIDLINE_COLOR = \"white\",\n",
       "   PT_STROKE_COLOR = \"#eee\",\n",
       "   UNKNOWN_GROUP_COLOR = \"#888\",\n",
       "   PARAM_COLOR = \"#32afad\",\n",
       "   PARAM_GROUP_COLOR = \"Orchid\",\n",
       "   GROUP_COLOR = \"#3476a2\",\n",
       "   COMPONENT_COLOR = \"DeepSkyBlue\",\n",
       "   COLLAPSED_COLOR = \"#555\",\n",
       "   UNCONNECTED_PARAM_COLOR = \"#F42E0C\",\n",
       "   HIGHLIGHT_HOVERED_COLOR = \"blue\",\n",
       "   RED_ARROW_COLOR = \"salmon\",\n",
       "   GREEN_ARROW_COLOR = \"seagreen\";\n",
       "\n",
       "// This is how we want to map solvers to colors and CSS classes\n",
       "//    Linear             Nonlinear\n",
       "//    ---------          ---------\n",
       "// 0. None               None\n",
       "// 1. LN: LNBJ           NL: NLBJ\n",
       "// 2. LN: SCIPY\n",
       "// 3. LN: RUNONCE        NL: RUNONCE\n",
       "// 4. LN: Direct\n",
       "// 5. LN: PETScKrylov\n",
       "// 6. LN: LNBGS          NL: NLBGS\n",
       "// 7. LN: USER\n",
       "// 8.                    NL: Newton\n",
       "// 9.                    BROYDEN\n",
       "// 10. solve_linear      solve_nonlinear\n",
       "// 11. other             other\n",
       "\n",
       "// Later add these for linesearch ?\n",
       "// LS: AG\n",
       "// LS: BCHK\n",
       "\n",
       "// From https://colorbrewer.org\n",
       "var colors = ['#8dd3c7','#ffffb3','#bebada','#fb8072','#80b1d3','#fdb462','#b3de69','#fccde5','#d9d9d9','#bc80bd','#ccebc5','#ffed6f'];\n",
       "\n",
       "var linearSolverColors = {};\n",
       "var linearSolverClasses = {} ;\n",
       "var nonLinearSolverColors = {};\n",
       "var nonLinearSolverClasses = {} ;\n",
       "var linearSolverNames = [];\n",
       "var nonLinearSolverNames = [] ;\n",
       "\n",
       "function setSolverColorAndCSSClass(ln_solver, nl_solver, idx){\n",
       "    if (ln_solver){\n",
       "        linearSolverColors[ln_solver] = colors[idx];\n",
       "        linearSolverClasses[ln_solver] = \"solver_\" + idx;\n",
       "        linearSolverNames.push(ln_solver);\n",
       "    }\n",
       "    if (nl_solver){\n",
       "        nonLinearSolverColors[nl_solver] = colors[idx];\n",
       "        nonLinearSolverClasses[nl_solver] = \"solver_\" + idx\n",
       "        nonLinearSolverNames.push(nl_solver);\n",
       "    }\n",
       "}\n",
       "\n",
       "setSolverColorAndCSSClass( \"None\", \"None\", 0);\n",
       "setSolverColorAndCSSClass( \"LN: LNBJ\", \"NL: NLBJ\", 1);\n",
       "setSolverColorAndCSSClass( \"LN: SCIPY\", \"\", 2);\n",
       "setSolverColorAndCSSClass( \"LN: RUNONCE\", \"NL: RUNONCE\", 3);\n",
       "setSolverColorAndCSSClass( \"LN: Direct\", \"\", 4);\n",
       "setSolverColorAndCSSClass( \"LN: PETScKrylov\", \"\", 5);\n",
       "setSolverColorAndCSSClass( \"LN: LNBGS\", \"NL: NLBGS\", 6);\n",
       "setSolverColorAndCSSClass( \"LN: USER\", \"\", 7);\n",
       "setSolverColorAndCSSClass( \"\", \"NL: Newton\", 8);\n",
       "setSolverColorAndCSSClass( \"\", \"BROYDEN\", 9);\n",
       "setSolverColorAndCSSClass( \"solve_linear\", \"solve_nonlinear\", 10);\n",
       "setSolverColorAndCSSClass( \"other\", \"other\", 11);\n",
       "\n",
       "var widthPTreePx = 1,\n",
       "    kx = 0, ky = 0, kx0 = 0, ky0 = 0,\n",
       "    HEIGHT_PX = 600,\n",
       "    PARENT_NODE_WIDTH_PX = 40,\n",
       "    MIN_COLUMN_WIDTH_PX = 5,\n",
       "    SVG_MARGIN = 1,\n",
       "    TRANSITION_DURATION_FAST = 1000,\n",
       "    TRANSITION_DURATION_SLOW = 1500,\n",
       "    TRANSITION_DURATION = TRANSITION_DURATION_FAST,\n",
       "    xScalerPTree = d3.scaleLinear().range([0, widthPTreePx]),\n",
       "    yScalerPTree = d3.scaleLinear().range([0, HEIGHT_PX]),\n",
       "    xScalerPTree0 = null,\n",
       "    yScalerPTree0 = null,\n",
       "    LEVEL_OF_DETAIL_THRESHOLD = HEIGHT_PX / 3; //3 pixels\n",
       "\n",
       "var widthPSolverTreePx = 1,\n",
       "    kSolverx = 0, kSolvery = 0, kSolverx0 = 0, kSolvery0 = 0,\n",
       "    xScalerPSolverTree = d3.scaleLinear().range([0, widthPSolverTreePx]),\n",
       "    yScalerPSolverTree = d3.scaleLinear().range([0, HEIGHT_PX]),\n",
       "    xScalerPSolverTree0 = null,\n",
       "    yScalerPSolverTree0 = null;\n",
       "\n",
       "var showLinearSolverNames = true;\n",
       "\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "///////////////////////////\n",
       "//Modal Help Dialog Stuff\n",
       "///////////////////////////\n",
       "var parentDiv = document.getElementById(\"ptN2ContentDivId\");\n",
       "var modal = parentDiv.querySelector(\"#myModal\");\n",
       "\n",
       "// When the user clicks the button, open the modal\n",
       "function DisplayModal() {\n",
       "    modal.style.display = \"block\";\n",
       "}\n",
       "\n",
       "// When the user clicks on <span> (x), close the modal\n",
       "parentDiv.querySelector(\"#idSpanModalClose\").onclick = function () {\n",
       "    modal.style.display = \"none\";\n",
       "}\n",
       "\n",
       "// When the user clicks anywhere outside of the modal, close it\n",
       "window.onclick = function (event) {\n",
       "    if (event.target == modal) {\n",
       "        modal.style.display = \"none\";\n",
       "    }\n",
       "}\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "// var CONNECTION_COLOR = \"black\",\n",
       "//     UNKNOWN_IMPLICIT_COLOR = \"orange\",\n",
       "//     UNKNOWN_EXPLICIT_COLOR = \"#AAA\",\n",
       "//     N2_COMPONENT_BOX_COLOR = \"#555\",\n",
       "//     N2_BACKGROUND_COLOR = \"#eee\",\n",
       "//     N2_GRIDLINE_COLOR = \"white\",\n",
       "//     PT_STROKE_COLOR = \"#eee\",\n",
       "//     UNKNOWN_GROUP_COLOR = \"#888\",\n",
       "//     PARAM_COLOR = \"Plum\",\n",
       "//     PARAM_GROUP_COLOR = \"Orchid\",\n",
       "//     GROUP_COLOR = \"steelblue\",\n",
       "//     COMPONENT_COLOR = \"DeepSkyBlue\",\n",
       "//     COLLAPSED_COLOR = \"#555\";\n",
       "\n",
       "// From Isaias\n",
       "var CONNECTION_COLOR = \"black\",\n",
       "   UNKNOWN_IMPLICIT_COLOR = \"#c7d06d\",\n",
       "   UNKNOWN_EXPLICIT_COLOR = \"#9ec4c7\",\n",
       "   N2_COMPONENT_BOX_COLOR = \"#555\",\n",
       "   N2_BACKGROUND_COLOR = \"#eee\",\n",
       "   N2_GRIDLINE_COLOR = \"white\",\n",
       "   PT_STROKE_COLOR = \"#eee\",\n",
       "   UNKNOWN_GROUP_COLOR = \"#888\",\n",
       "   PARAM_COLOR = \"#32afad\",\n",
       "   PARAM_GROUP_COLOR = \"Orchid\",\n",
       "   GROUP_COLOR = \"#3476a2\",\n",
       "   COMPONENT_COLOR = \"DeepSkyBlue\",\n",
       "   COLLAPSED_COLOR = \"#555\",\n",
       "   UNCONNECTED_PARAM_COLOR = \"#F42E0C\";\n",
       "\n",
       "function SaveSvg(parentDiv) {\n",
       "    //get svg element.\n",
       "    var svgData = parentDiv.querySelector(\"#svgId\").outerHTML;\n",
       "\n",
       "    //add name spaces.\n",
       "    if (!svgData.match(/^<svg[^>]+xmlns=\"http\\:\\/\\/www\\.w3\\.org\\/2000\\/svg\"/)) {\n",
       "        svgData = svgData.replace(/^<svg/, '<svg xmlns=\"http://www.w3.org/2000/svg\"');\n",
       "    }\n",
       "    if (!svgData.match(/^<svg[^>]+\"http\\:\\/\\/www\\.w3\\.org\\/1999\\/xlink\"/)) {\n",
       "        svgData = svgData.replace(/^<svg/, '<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\"');\n",
       "    }\n",
       "\n",
       "    //add xml declaration\n",
       "    svgData = '<?xml version=\"1.0\" standalone=\"no\"?>\\r\\n' + svgData;\n",
       "\n",
       "    svgData = vkbeautify.xml(svgData);\n",
       "    var svgBlob = new Blob([svgData], { type: \"image/svg+xml;charset=utf-8\" });\n",
       "    var svgUrl = URL.createObjectURL(svgBlob);\n",
       "    var downloadLink = document.createElement(\"a\");\n",
       "    downloadLink.href = svgUrl;\n",
       "    downloadLink.download = \"partition_tree_n2.svg\";\n",
       "    document.body.appendChild(downloadLink);\n",
       "    downloadLink.click();\n",
       "    document.body.removeChild(downloadLink);\n",
       "}\n",
       "\n",
       "function UpdateSvgCss(svgStyleElement, FONT_SIZE_PX){\n",
       "        var myCssText =\n",
       "        \"rect { \" +\n",
       "        \"    stroke: \" + PT_STROKE_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"g.unknown > rect { \" +\n",
       "        \"    fill: \" + UNKNOWN_EXPLICIT_COLOR + \"; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"} \" +\n",
       "        \"g.unknown_implicit > rect { \" +\n",
       "        \"    fill: \" + UNKNOWN_IMPLICIT_COLOR + \"; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"} \" +\n",
       "        \"g.param > rect { \" +\n",
       "        \"    fill: \" + PARAM_COLOR + \"; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"} \" +\n",
       "        \"g.unconnected_param > rect { \" +\n",
       "        \"    fill: \" + UNCONNECTED_PARAM_COLOR + \"; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"} \" +\n",
       "        \"g.subsystem > rect { \" +\n",
       "        \"    cursor: pointer; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"    fill: \" + GROUP_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"g.component > rect { \" +\n",
       "        \"    cursor: pointer; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"    fill: \" + COMPONENT_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"g.param_group > rect { \" +\n",
       "        \"    cursor: pointer; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"    fill: \" + PARAM_GROUP_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"g.unknown_group > rect { \" +\n",
       "        \"    cursor: pointer; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"    fill: \" + UNKNOWN_GROUP_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"g.minimized > rect { \" +\n",
       "        \"    cursor: pointer; \" +\n",
       "        \"    fill-opacity: .8; \" +\n",
       "        \"    fill: \" + COLLAPSED_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \"text { \" +\n",
       "        //\"    dominant-baseline: middle; \" +\n",
       "        //\"    dy: .35em; \" +\n",
       "        \"} \" +\n",
       "        \"#svgId\"+\" g.partition_group > text { \" +\n",
       "        \"    text-anchor: end; \" +\n",
       "        \"    pointer-events: none; \" +\n",
       "        \"    font-family: helvetica, sans-serif; \" +\n",
       "        \"    font-size: \" + FONT_SIZE_PX +\"px; \" +\n",
       "        \"} \" +\n",
       "        \"#svgId\"+\" g.solver_group > text { \" +\n",
       "        \"    text-anchor: end; \" +\n",
       "        \"    pointer-events: none; \" +\n",
       "        \"    font-family: helvetica, sans-serif; \" +\n",
       "        \"    font-size: \" + FONT_SIZE_PX +\"px; \" +\n",
       "        \"} \" +\n",
       "        \"/* n2 diagram*/  \" +\n",
       "        \"g.component_box > rect { \" +\n",
       "        \"    stroke: \" + N2_COMPONENT_BOX_COLOR + \"; \" +\n",
       "        \"    stroke-width: 2; \" +\n",
       "        \"    fill: none; \" +\n",
       "        \"} \" +\n",
       "        \".bordR1, .bordR2, .bordR3, .bordR4, .ssMid, .grpMid, .svMid, .vsMid, .vMid, .sgrpMid, .grpsMid { \" +\n",
       "        \"    stroke: none; \" +\n",
       "        \"    stroke-width: 0; \" +\n",
       "        \"    fill-opacity: 1; \" +\n",
       "        \"} \" +\n",
       "        \"[class^=n2_hover_elements] { \" +\n",
       "        \"    pointer-events: none; \" +\n",
       "        \"} \" +\n",
       "        \".background { \" +\n",
       "        \"    fill: \" + N2_BACKGROUND_COLOR + \"; \" +\n",
       "        \"} \" +\n",
       "        \".horiz_line, .vert_line { /*n2 gridlines*/ \" +\n",
       "        \"    stroke: \" + N2_GRIDLINE_COLOR + \"; \" +\n",
       "        \"}\";\n",
       "\n",
       "        for (var i = 0; i < linearSolverNames.length; ++i) {\n",
       "            var name = linearSolverNames[i];\n",
       "            myCssText +=  \"g.\" + linearSolverClasses[name] + \" > rect { \" +\n",
       "            \"    cursor: pointer; \" +\n",
       "            \"    fill-opacity: .8; \" +\n",
       "            \"    fill: \" + linearSolverColors[name] + \"; \" +\n",
       "            \"} \" ;\n",
       "        }\n",
       "        for (var i = 0; i < nonLinearSolverNames.length; ++i) {\n",
       "            var name = nonLinearSolverNames[i];\n",
       "            myCssText +=  \"g.\" + nonLinearSolverClasses[name] + \" > rect { \" +\n",
       "            \"    cursor: pointer; \" +\n",
       "            \"    fill-opacity: .8; \" +\n",
       "            \"    fill: \" + nonLinearSolverColors[name] + \"; \" +\n",
       "            \"} \" ;\n",
       "        }\n",
       "\n",
       "\n",
       "        svgStyleElement.innerHTML = myCssText;\n",
       "    }\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "var filteredWordForAutoCompleteSuggestions = \"\", filteredWordForAutoCompleteSuggestionsContainsDot = false;\n",
       "var filteredWordForAutoCompleteSuggestionsBaseName = \"\";\n",
       "var wordIndex = 0;\n",
       "var searchVals0 = [];\n",
       "var inDataFunction = true;\n",
       "var filterSet = {};\n",
       "var callSearchFromEnterKeyPressed = false;\n",
       "var autoCompleteListNames = [], autoCompleteListPathNames = [];\n",
       "var searchCollapsedUndo = [];        \n",
       "var autoCompleteSetNames = {}, autoCompleteSetPathNames = {};\n",
       "var showParams = true; //default off\n",
       "\n",
       "window.addEventListener(\"awesomplete-selectcomplete\", function (e) {\n",
       "    // User made a selection from dropdown.\n",
       "    // This is fired after the selection is applied\n",
       "    SearchInputEventListener(e);\n",
       "    callSearchFromEnterKeyPressed = false;\n",
       "    searchAwesomplete.evaluate();\n",
       "}, false);\n",
       "\n",
       "var numMatches = 0;\n",
       "function DoSearch(d, regexMatch, undoList) {\n",
       "    var didMatch = false;\n",
       "    if (d.children && !d.isMinimized) { //depth first, dont go into minimized children\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "            if (DoSearch(d.children[i], regexMatch, undoList)) didMatch = true;\n",
       "        }\n",
       "    }\n",
       "    if (d === zoomedElement) return didMatch;\n",
       "    if (!showParams && d.type === \"param\") return didMatch;\n",
       "    if (!didMatch && !d.children && (d.type === \"param\" || d.type === \"unknown\")) {\n",
       "        didMatch = regexMatch.test(d.absPathName);\n",
       "        if (didMatch) {\n",
       "            ++numMatches; //only params and unknowns can count as matches\n",
       "        }\n",
       "        else if (undoList) { //did not match and undo list is not null\n",
       "            d.varIsHidden = true;\n",
       "            undoList.push(d);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    if (!didMatch && d.children && !d.isMinimized && undoList) { //minimizeable and undoList not null\n",
       "        d.isMinimized = true;\n",
       "        undoList.push(d);\n",
       "    }\n",
       "    return didMatch;\n",
       "}\n",
       "\n",
       "function CountMatches() {\n",
       "    searchCollapsedUndo.forEach(function (d) { //auto undo on successive searches\n",
       "        if (!d.children && (d.type === \"param\" || d.type === \"unknown\")) d.varIsHidden = false;\n",
       "        else d.isMinimized = false;\n",
       "    });\n",
       "    numMatches = 0;\n",
       "    if (searchVals0.length != 0) DoSearch(zoomedElement, GetSearchRegExp(searchVals0), null);\n",
       "    searchCollapsedUndo.forEach(function (d) { //auto undo on successive searches\n",
       "        if (!d.children && (d.type === \"param\" || d.type === \"unknown\")) d.varIsHidden = true;\n",
       "        else d.isMinimized = true;\n",
       "    });\n",
       "}\n",
       "\n",
       "function SearchButtonClicked() {\n",
       "    searchCollapsedUndo.forEach(function (d) { //auto undo on successive searches\n",
       "        if (!d.children && (d.type === \"param\" || d.type === \"unknown\")) d.varIsHidden = false;\n",
       "        else d.isMinimized = false;\n",
       "    });\n",
       "    numMatches = 0;\n",
       "    searchCollapsedUndo = [];\n",
       "    if (searchVals0.length != 0) DoSearch(zoomedElement, GetSearchRegExp(searchVals0), searchCollapsedUndo);\n",
       "\n",
       "    FindRootOfChangeFunction = FindRootOfChangeForSearch;\n",
       "    TRANSITION_DURATION = TRANSITION_DURATION_SLOW;\n",
       "    lastClickWasLeft = false;\n",
       "    updateRecomputesAutoComplete = false;\n",
       "    updateFunc();\n",
       "}\n",
       "\n",
       "function GetSearchRegExp(searchValsArray) {\n",
       "    var regexStr = \"(^\" + searchValsArray.join(\"$|^\") + \"$)\"; //^ starts at beginning of string   $ is end of string\n",
       "    regexStr = regexStr.replace(/\\./g, \"\\\\.\"); //convert . to regex\n",
       "    regexStr = regexStr.replace(/\\?/g, \".\"); //convert ? to regex\n",
       "    regexStr = regexStr.replace(/\\*/g, \".*?\"); //convert * to regex\n",
       "    regexStr = regexStr.replace(/\\^/g, \"^.*?\"); //prepend *\n",
       "    return new RegExp(regexStr, \"i\"); //case insensitive\n",
       "}\n",
       "\n",
       "\n",
       "function SearchInputEventListener(e) {\n",
       "    var target = e.target;\n",
       "    if (target.id === \"awesompleteId\") {\n",
       "        var newVal = target.value.replace(/([^a-zA-Z0-9:_\\?\\*\\s\\.])/g, \"\"); //valid characters AlphaNumeric : _ ? * space .\n",
       "        if (newVal !== target.value) {\n",
       "            //e.stopPropagation();\n",
       "            target.value = newVal; //won't trigger new event\n",
       "            //searchAwesomplete.evaluate();\n",
       "        }\n",
       "\n",
       "        searchVals0 = target.value.split(\" \");\n",
       "        function isValid(value) {\n",
       "            return value.length > 0;\n",
       "        }\n",
       "        var filtered = searchVals0.filter(isValid);\n",
       "        searchVals0 = filtered;\n",
       "\n",
       "        var lastLetterTypedIndex = target.selectionStart - 1;\n",
       "\n",
       "        var endIndex = target.value.indexOf(\" \", lastLetterTypedIndex);\n",
       "        if (endIndex == -1) endIndex = target.value.length;\n",
       "        var startIndex = target.value.lastIndexOf(\" \", lastLetterTypedIndex);\n",
       "        if (startIndex == -1) startIndex = 0;\n",
       "        var sub = target.value.substring(startIndex, endIndex).trim();\n",
       "        filteredWordForAutoCompleteSuggestions = sub.replace(/([^a-zA-Z0-9:_\\.])/g, \"\"); //valid openmdao character types: AlphaNumeric : _ .\n",
       "\n",
       "\n",
       "\n",
       "        for (var i = 0; i < searchVals0.length; ++i) {\n",
       "            if (searchVals0[i].replace(/([^a-zA-Z0-9:_\\.])/g, \"\") === filteredWordForAutoCompleteSuggestions) {\n",
       "                wordIndex = i;\n",
       "                break;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        filteredWordForAutoCompleteSuggestionsContainsDot = (filteredWordForAutoCompleteSuggestions.indexOf(\".\") != -1);\n",
       "        searchAwesomplete.list = filteredWordForAutoCompleteSuggestionsContainsDot ? autoCompleteListPathNames : autoCompleteListNames;\n",
       "        filteredWordForAutoCompleteSuggestionsBaseName = filteredWordForAutoCompleteSuggestionsContainsDot ? filteredWordForAutoCompleteSuggestions.split(\".\")[0].trim() : \"\";\n",
       "\n",
       "        CountMatches();\n",
       "        parentDiv.querySelector(\"#searchCountId\").innerHTML = \"\" + numMatches + \" matches\";\n",
       "    }\n",
       "}\n",
       "window.addEventListener('input', SearchInputEventListener, true);//Use Capture not bubble so that this will be the first input event\n",
       "\n",
       "function SearchEnterKeyUpEventListener(e) {\n",
       "    var target = e.target;\n",
       "    if (target.id === \"awesompleteId\") {\n",
       "        var key = e.which || e.keyCode;\n",
       "        if (key === 13) { // 13 is enter\n",
       "            if (callSearchFromEnterKeyPressed) {\n",
       "                SearchButtonClicked();\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "window.addEventListener('keyup', SearchEnterKeyUpEventListener, true);//keyup so it will be after the input and awesomplete-selectcomplete event listeners\n",
       "\n",
       "function SearchEnterKeyDownEventListener(e) {\n",
       "    var target = e.target;\n",
       "    if (target.id === \"awesompleteId\") {\n",
       "        var key = e.which || e.keyCode;\n",
       "        if (key === 13) { // 13 is enter\n",
       "            callSearchFromEnterKeyPressed = true;\n",
       "        }\n",
       "    }\n",
       "}\n",
       "window.addEventListener('keydown', SearchEnterKeyDownEventListener, true);//keydown so it will be before the input and awesomplete-selectcomplete event listeners\n",
       "\n",
       "var searchInputId = parentDiv.querySelector(\"#awesompleteId\");\n",
       "var searchAwesomplete = new Awesomplete(searchInputId, {\n",
       "    \"minChars\": 1,\n",
       "    \"maxItems\": 15,\n",
       "    \"list\": [],\n",
       "    \"filter\": function (text, input) {\n",
       "        if (inDataFunction) {\n",
       "            inDataFunction = false;\n",
       "            filterSet = {};\n",
       "        }\n",
       "        if (filteredWordForAutoCompleteSuggestions.length == 0) return false;\n",
       "        if (filterSet.hasOwnProperty(text)) return false;\n",
       "        filterSet[text] = true;\n",
       "        if (filteredWordForAutoCompleteSuggestionsContainsDot) return Awesomplete.FILTER_STARTSWITH(text, filteredWordForAutoCompleteSuggestions);\n",
       "        return Awesomplete.FILTER_CONTAINS(text, filteredWordForAutoCompleteSuggestions);\n",
       "    },\n",
       "    \"item\": function (text, input) {\n",
       "        return Awesomplete.ITEM(text, filteredWordForAutoCompleteSuggestions);\n",
       "    },\n",
       "    \"replace\": function (text) {\n",
       "        var newVal = \"\";\n",
       "        var cursorPos = 0;\n",
       "        for (var i = 0; i < searchVals0.length; ++i) {\n",
       "            newVal += ((i == wordIndex) ? text : searchVals0[i]) + \" \";\n",
       "            if (i == wordIndex) cursorPos = newVal.length - 1;\n",
       "        }\n",
       "        this.input.value = newVal;\n",
       "        parentDiv.querySelector(\"#awesompleteId\").setSelectionRange(cursorPos, cursorPos);\n",
       "    },\n",
       "    \"data\": function (item/*, input*/) {\n",
       "        inDataFunction = true;\n",
       "        if (filteredWordForAutoCompleteSuggestionsContainsDot) {\n",
       "            var baseIndex = item.toLowerCase().indexOf(\".\" + filteredWordForAutoCompleteSuggestionsBaseName.toLowerCase() + \".\");\n",
       "            if (baseIndex > 0) return item.slice(baseIndex + 1);\n",
       "        }\n",
       "        return item;\n",
       "    }\n",
       "});\n",
       "\n",
       "function FindRootOfChangeForSearch(d) {\n",
       "    var earliestObj = d;\n",
       "    for (var obj = d; obj != null; obj = obj.parent) {\n",
       "        if (obj.isMinimized) earliestObj = obj;\n",
       "    }\n",
       "    return earliestObj;\n",
       "}\n",
       "\n",
       "function PopulateAutoCompleteList(d) {\n",
       "    if (d.children && !d.isMinimized) { //depth first, dont go into minimized children\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "            PopulateAutoCompleteList(d.children[i]);\n",
       "        }\n",
       "    }\n",
       "    if (d === zoomedElement) return;\n",
       "    if (!showParams && d.type === \"param\") return;\n",
       "\n",
       "    var n = d.name;\n",
       "    if (d.splitByColon && d.children && d.children.length > 0) n += \":\";\n",
       "    if (d.type !== \"param\" && d.type !== \"unknown\") n += \".\";\n",
       "    var namesToAdd = [n];\n",
       "\n",
       "    if (d.splitByColon) namesToAdd.push(d.colonName + ((d.children && d.children.length > 0) ? \":\" : \"\"));\n",
       "\n",
       "    namesToAdd.forEach(function (name) {\n",
       "        if (!autoCompleteSetNames.hasOwnProperty(name)) {\n",
       "            autoCompleteSetNames[name] = true;\n",
       "            autoCompleteListNames.push(name);\n",
       "        }\n",
       "    });\n",
       "\n",
       "    var localPathName = (zoomedElement === root) ? d.absPathName : d.absPathName.slice(zoomedElement.absPathName.length + 1);\n",
       "    if (!autoCompleteSetPathNames.hasOwnProperty(localPathName)) {\n",
       "        autoCompleteSetPathNames[localPathName] = true;\n",
       "        autoCompleteListPathNames.push(localPathName);\n",
       "    }\n",
       "}\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "var showLegend = false; //default off\n",
       "\n",
       "function SetupLegend(d3, d3ContentDiv) {\n",
       "    var numColumns = 3;\n",
       "    var elementSize = 30, xOffset = 10, columnWidth = 250;\n",
       "    var legendWidth = columnWidth * numColumns + 0, legendHeight = 500;\n",
       "    var u = elementSize * .5;\n",
       "    var v = u;\n",
       "\n",
       "    d3.select(d3ContentDiv).select(\"div.ptN2LegendClass\").remove();\n",
       "\n",
       "    if (!showLegend) return;\n",
       "\n",
       "    var svg_legend = d3.select(d3ContentDiv).append(\"div\")\n",
       "        .attr(\"class\", \"ptN2LegendClass\")\n",
       "        .style(\"width\", legendWidth + \"px\")\n",
       "        .style(\"height\", legendHeight + \"px\")\n",
       "        .append(\"svg:svg\")\n",
       "        .attr(\"width\", legendWidth)\n",
       "        .attr(\"height\", legendHeight);\n",
       "\n",
       "\n",
       "    svg_legend.append(\"rect\")\n",
       "        .attr(\"class\", \"background\")\n",
       "        .attr(\"width\", legendWidth)\n",
       "        .attr(\"height\", legendHeight);\n",
       "\n",
       "    function CreateElementBorder(g) {\n",
       "        g.append(\"rect\")\n",
       "            .attr(\"x\", -u)\n",
       "            .attr(\"y\", -v)\n",
       "            .attr(\"width\", elementSize)\n",
       "            .attr(\"height\", elementSize)\n",
       "            .style(\"stroke-width\", 2)\n",
       "            .style(\"stroke\", \"white\")\n",
       "            .style(\"fill\", \"none\");\n",
       "    }\n",
       "\n",
       "    function CreateText(g, text) {\n",
       "        g.append(\"svg:text\")\n",
       "            .attr(\"x\", u + 5)\n",
       "            .attr(\"y\", 0)\n",
       "            .attr(\"dy\", \".35em\")\n",
       "            .attr(\"font-size\", 20)\n",
       "            .text(text)\n",
       "            .style(\"fill\", \"black\");\n",
       "    }\n",
       "\n",
       "    //title LEGEND\n",
       "    {\n",
       "        var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (legendWidth * .5) + \",\" + (15) + \")\");\n",
       "        el.append(\"svg:text\")\n",
       "            .attr(\"text-anchor\", \"middle\")\n",
       "            .attr(\"dy\", \".35em\")//.attr(\"dominant-baseline\", \"middle\")//\n",
       "            .attr(\"font-size\", 30)\n",
       "            .attr(\"text-decoration\", \"underline\")\n",
       "            .text(\"LEGEND\")\n",
       "            .style(\"fill\", \"black\");\n",
       "    }\n",
       "\n",
       "    //COLUMN TITLES\n",
       "    {\n",
       "        var text = [\"System Colors\", \"N^2 Symbols\", showLinearSolverNames? \" Linear Solvers\" : \"Nonlinear Solvers\"];\n",
       "        for (var i = 0; i < text.length; ++i) {\n",
       "            var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (columnWidth * i + xOffset) + \",\" + (60) + \")\");\n",
       "            el.append(\"svg:text\")\n",
       "                .attr(\"dy\", \".35em\")//.attr(\"dominant-baseline\", \"middle\")//\n",
       "                .attr(\"font-size\", 24)\n",
       "                .attr(\"text-decoration\", \"underline\")\n",
       "                .text(text[i])\n",
       "                .style(\"fill\", \"black\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    //COLORS\n",
       "    {\n",
       "        var text = [\"Group\", \"Component\", \"Output Explicit\", \"Output Implicit\", \"Collapsed\", \"Connection\"];\n",
       "        var colors = [GROUP_COLOR, COMPONENT_COLOR, UNKNOWN_EXPLICIT_COLOR, UNKNOWN_IMPLICIT_COLOR, COLLAPSED_COLOR, CONNECTION_COLOR];\n",
       "        if (showParams) {\n",
       "            text.splice(2, 0, \"Input\");\n",
       "            colors.splice(2, 0, PARAM_COLOR);\n",
       "            text.splice(3, 0, \"Unconnected Input\")\n",
       "            colors.splice(3, 0, UNCONNECTED_PARAM_COLOR)\n",
       "        }\n",
       "        for (var i = 0; i < text.length; ++i) {\n",
       "            var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (columnWidth * 0 + xOffset + u) + \",\" + (80 + 40 * i + v) + \")\");\n",
       "            DrawLegendColor(el, u, v, colors[i], false);\n",
       "            CreateText(el, text[i]);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    //N2 SYMBOLS\n",
       "    {\n",
       "        var text = [\"Scalar\", \"Vector\", \"Group\"];\n",
       "        var colors = [UNKNOWN_EXPLICIT_COLOR, UNKNOWN_EXPLICIT_COLOR, UNKNOWN_EXPLICIT_COLOR];\n",
       "        var shapeFunctions = [DrawScalar, DrawVector, DrawGroup];\n",
       "        for (var i = 0; i < text.length; ++i) {\n",
       "            var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (columnWidth * 1 + xOffset + u) + \",\" + (80 + 40 * i + v) + \")\");\n",
       "            shapeFunctions[i](el, u, v, colors[i], false);\n",
       "            CreateElementBorder(el);\n",
       "            CreateText(el, text[i]);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    //SOLVER COLORS\n",
       "    {\n",
       "        if (showLinearSolverNames){\n",
       "            for (var i = 0; i < linearSolverNames.length; ++i) {\n",
       "                var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (columnWidth * 2 + xOffset + u) + \",\" + (80 + 40 * i + v) + \")\");\n",
       "                var name = linearSolverNames[i];\n",
       "                DrawLegendColor(el, u, v, linearSolverColors[name], false);\n",
       "                CreateText(el, name);\n",
       "            }\n",
       "        } else {\n",
       "            for (var i = 0; i < nonLinearSolverNames.length; ++i) {\n",
       "                var el = svg_legend.append(\"g\").attr(\"transform\", \"translate(\" + (columnWidth * 2 + xOffset + u) + \",\" + (80 + 40 * i + v) + \")\");\n",
       "                var name = nonLinearSolverNames[i];\n",
       "                DrawLegendColor(el, u, v, nonLinearSolverColors[name], false);\n",
       "                CreateText(el, name);\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "function DrawLegendColor(g, u, v, color, justUpdate) {\n",
       "    var shape = justUpdate ? g.select(\".colorMid\") : g.append(\"rect\").attr(\"class\", \"colorMid\").style(\"fill\", color);\n",
       "    return shape.attr(\"x\", -u).attr(\"y\", -v).attr(\"width\", u * 2).attr(\"height\", v * 2)\n",
       "        .style(\"stroke-width\", 0).style(\"fill-opacity\", 1);\n",
       "}\n",
       "\n",
       "function DrawScalar(g, u, v, color, justUpdate) {\n",
       "    var shape = justUpdate ? g.select(\".sMid\") : g.append(\"ellipse\").attr(\"class\", \"sMid\").style(\"fill\", color);\n",
       "    return shape.attr(\"rx\", u * .6).attr(\"ry\", v * .6);\n",
       "}\n",
       "\n",
       "function DrawVector(g, u, v, color, justUpdate) {\n",
       "    var shape = justUpdate ? g.select(\".vMid\") : g.append(\"rect\").attr(\"class\", \"vMid\").style(\"fill\", color);\n",
       "    return shape.attr(\"x\", -u * .6).attr(\"y\", -v * .6).attr(\"width\", u * 1.2).attr(\"height\", v * 1.2);\n",
       "}\n",
       "\n",
       "function DrawGroup(g, u, v, color, justUpdate) {\n",
       "    DrawBorder(g, u, v, color, justUpdate);\n",
       "    var shape = justUpdate ? g.select(\".gMid\") : g.append(\"rect\").attr(\"class\", \"gMid\").style(\"fill\", color);\n",
       "    return shape.attr(\"x\", -u * .6).attr(\"y\", -v * .6).attr(\"width\", u * 1.2).attr(\"height\", v * 1.2);\n",
       "}\n",
       "\n",
       "function DrawBorder(g, u, v, color, justUpdate) {\n",
       "    var shape1 = justUpdate ? g.select(\".bordR1\") : g.append(\"rect\").attr(\"class\", \"bordR1\").style(\"fill\", color);\n",
       "    var shape2 = justUpdate ? g.select(\".bordR2\") : g.append(\"rect\").attr(\"class\", \"bordR2\").style(\"fill\", color);\n",
       "    var shape3 = justUpdate ? g.select(\".bordR3\") : g.append(\"rect\").attr(\"class\", \"bordR3\").style(\"fill\", color);\n",
       "    var shape4 = justUpdate ? g.select(\".bordR4\") : g.append(\"rect\").attr(\"class\", \"bordR4\").style(\"fill\", color);\n",
       "\n",
       "    shape1.attr(\"x\", -u).attr(\"y\", -v).attr(\"width\", u * 2).attr(\"height\", v * .2);\n",
       "    shape2.attr(\"x\", -u).attr(\"y\", -v).attr(\"width\", u * .2).attr(\"height\", v * 2);\n",
       "    shape3.attr(\"x\", u * .8).attr(\"y\", -v).attr(\"width\", u * .2).attr(\"height\", v * 2);\n",
       "    shape4.attr(\"x\", -u).attr(\"y\", v * .8).attr(\"width\", u * 2).attr(\"height\", v * .2);\n",
       "}\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "var d3ContentDiv, svgDiv, svg;\n",
       "var n2ElementsGroup, n2GridLinesGroup, n2ComponentBoxesGroup, n2ArrowsGroup, n2DotsGroup;\n",
       "\n",
       "var n2Group;\n",
       "var arrowMarker;\n",
       "\n",
       "var WIDTH_N2_PX = HEIGHT_PX;\n",
       "var PTREE_N2_GAP_PX = 10; //spacing between partition tree and n2 diagram\n",
       "var n2Dx = 0, n2Dy = 0, n2Dx0 = 0, n2Dy0 = 0;\n",
       "var d3NodesArray, d3RightTextNodesArrayZoomed = []\n",
       "var d3RightTextNodesArrayZoomedBoxInfo\n",
       "var drawableN2ComponentBoxes;\n",
       "var matrix;\n",
       "\n",
       "var gridLines;\n",
       "var symbols_scalar,\n",
       "    symbols_vector,\n",
       "    symbols_group,\n",
       "    symbols_scalarScalar,\n",
       "    symbols_scalarVector,\n",
       "    symbols_vectorScalar,\n",
       "    symbols_vectorVector,\n",
       "    symbols_scalarGroup,\n",
       "    symbols_groupScalar,\n",
       "    symbols_vectorGroup,\n",
       "    symbols_groupVector,\n",
       "    symbols_groupGroup;\n",
       "\n",
       "var sharedTransition;\n",
       "var FindRootOfChangeFunction = null;\n",
       "\n",
       "var lastLeftClickedElement = document.getElementById(\"ptN2ContentDivId\"),\n",
       "    leftClickIsForward = true,\n",
       "    lastClickWasLeft = true;\n",
       "\n",
       "var enterIndex = 0,\n",
       "    exitIndex = 0;\n",
       "\n",
       "function DrawPathTwoLines(x1, y1, x2, y2, x3, y3, color, width, useArrow) {\n",
       "    var path = n2ArrowsGroup.insert(\"path\")\n",
       "        .attr(\"class\", \"n2_hover_elements\")\n",
       "        .attr(\"d\", \"M\" + x1 + \" \" + y1 + \" L\" + x2 + \" \" + y2 + \" L\" + x3 + \" \" + y3)\n",
       "        .attr(\"fill\", \"none\")\n",
       "        .style(\"stroke-width\", width)\n",
       "        .style(\"stroke\", color);\n",
       "\n",
       "    n2DotsGroup.append(\"circle\")\n",
       "        .attr(\"class\", \"n2_hover_elements\")\n",
       "        .attr(\"cx\", x2)\n",
       "        .attr(\"cy\", y2)\n",
       "        .attr(\"r\", width * 1.0)\n",
       "        .style(\"stroke-width\", 0)\n",
       "        .style(\"fill-opacity\", 1)\n",
       "        .style(\"fill\", \"black\");\n",
       "    n2DotsGroup.append(\"circle\")\n",
       "        .attr(\"class\", \"n2_hover_elements\")\n",
       "        .attr(\"cx\", x2)\n",
       "        .attr(\"cy\", y2)\n",
       "        .attr(\"r\", width * 1.0)\n",
       "        .style(\"stroke-width\", 0)\n",
       "        .style(\"fill-opacity\", .75)\n",
       "        .style(\"fill\", color);\n",
       "\n",
       "    if (useArrow) {\n",
       "        path.attr(\"marker-end\", \"url(#arrow)\");\n",
       "    }\n",
       "}\n",
       "\n",
       "function setD3ContentDiv() {\n",
       "    d3ContentDiv = document.getElementById(\"ptN2ContentDivId\").querySelector(\"#d3_content_div\");\n",
       "    svgDiv = d3.select(d3ContentDiv).append(\"div\")\n",
       "        .attr(\"class\", \"ptN2ChartClass\");\n",
       "\n",
       "    svg = svgDiv.append(\"svg:svg\")\n",
       "        .attr(\"id\", \"svgId\");\n",
       "}\n",
       "\n",
       "function setN2Group() {\n",
       "    n2Group = svg.append(\"g\").attr('id', 'N2'); // id given just so it is easier to see in Chrome dev tools when debugging\n",
       "}\n",
       "\n",
       "function setN2ElementsGroup() {\n",
       "    n2ElementsGroup = n2Group.append(\"g\");\n",
       "    n2GridLinesGroup = n2Group.append(\"g\");\n",
       "    n2ComponentBoxesGroup = n2Group.append(\"g\");\n",
       "    n2ArrowsGroup = n2Group.append(\"g\");\n",
       "    n2DotsGroup = n2Group.append(\"g\");\n",
       "}\n",
       "\n",
       "function DrawRect(x, y, width, height, fill) {\n",
       "    n2Group.insert(\"rect\")\n",
       "        .attr(\"class\", \"n2_hover_elements\")\n",
       "        .attr(\"y\", y)\n",
       "        .attr(\"x\", x)\n",
       "        .attr(\"width\", width)\n",
       "        .attr(\"height\", height)\n",
       "        .attr(\"fill\", fill)\n",
       "        .attr(\"fill-opacity\", \"1\");\n",
       "}\n",
       "\n",
       "function DrawArrows(startIndex, endIndex) {\n",
       "    var lineWidth = Math.min(5, n2Dx * .5, n2Dy * .5);\n",
       "    arrowMarker.attr(\"markerWidth\", lineWidth * .4)\n",
       "        .attr(\"markerHeight\", lineWidth * .4);\n",
       "\n",
       "    var boxStart = d3RightTextNodesArrayZoomedBoxInfo[startIndex];\n",
       "    var boxEnd = d3RightTextNodesArrayZoomedBoxInfo[endIndex];\n",
       "\n",
       "    //draw multiple horizontal lines but no more than one vertical line for box to box connections\n",
       "    var startIndices = [];\n",
       "    for (var startsI = boxStart.startI; startsI <= boxStart.stopI; ++startsI) {\n",
       "        for (var endsI = boxEnd.startI; endsI <= boxEnd.stopI; ++endsI) {\n",
       "            if (matrix[startsI + \"_\" + endsI] !== undefined) { //if(matrix[startsI][endsI].z > 0){\n",
       "                startIndices.push(startsI);\n",
       "                break;\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < startIndices.length; ++i) {\n",
       "        var startI = startIndices[i];\n",
       "        var boxEndDelta = boxEnd.stopI - boxEnd.startI;\n",
       "\n",
       "        if (startIndex < endIndex) { //right down arrow\n",
       "            var x1 = (startI + 1) * n2Dx; //x1\n",
       "            var x2 = (endIndex + boxEndDelta * .5) * n2Dx + n2Dx * .5; //right x2\n",
       "            var x3 = x2; //down x3\n",
       "\n",
       "            var y1 = startI * n2Dy + n2Dy * .5; //y1\n",
       "            var y2 = y1; //right y2\n",
       "            var y3 = endIndex * n2Dy; //down y3\n",
       "\n",
       "            DrawPathTwoLines(x1, y1, x2, y2, x3, y3, GREEN_ARROW_COLOR, lineWidth, true);\n",
       "        }\n",
       "        else if (startIndex > endIndex) { //left up arrow\n",
       "            var x1 = startI * n2Dx; //x1\n",
       "            var x2 = (endIndex + boxEndDelta * .5) * n2Dx + n2Dx * .5; //left x2\n",
       "            var x3 = x2; //up x3\n",
       "\n",
       "            var y1 = startI * n2Dy + n2Dy * .5; //y1\n",
       "            var y2 = y1; //left y2\n",
       "            var y3 = (endIndex + boxEndDelta + 1) * n2Dy; //y1\n",
       "\n",
       "            DrawPathTwoLines(x1, y1, x2, y2, x3, y3, RED_ARROW_COLOR, lineWidth, true);\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "function DrawArrowsParamView(startIndex, endIndex) {\n",
       "    var lineWidth = Math.min(5, n2Dx * .5, n2Dy * .5);\n",
       "    arrowMarker.attr(\"markerWidth\", lineWidth * .4)\n",
       "        .attr(\"markerHeight\", lineWidth * .4);\n",
       "\n",
       "    var boxStart = d3RightTextNodesArrayZoomedBoxInfo[startIndex];\n",
       "    var boxEnd = d3RightTextNodesArrayZoomedBoxInfo[endIndex];\n",
       "\n",
       "    //draw multiple horizontal lines but no more than one vertical line for box to box connections\n",
       "    var startIndices = [], endIndices = [];\n",
       "    for (var startsI = boxStart.startI; startsI <= boxStart.stopI; ++startsI) {\n",
       "        for (var endsI = boxEnd.startI; endsI <= boxEnd.stopI; ++endsI) {\n",
       "            if (matrix[startsI + \"_\" + endsI] !== undefined) { //if(matrix[startsI][endsI].z > 0){\n",
       "                startIndices.push(startsI);\n",
       "                endIndices.push(endsI);\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < startIndices.length; ++i) {\n",
       "        var startI = startIndices[i];\n",
       "        var endI = endIndices[i];\n",
       "\n",
       "        if (startIndex < endIndex) { //right down arrow\n",
       "            var x1 = (startI + 1) * n2Dx; //x1\n",
       "            var x2 = (endI + .5) * n2Dx; //right x2\n",
       "            var x3 = x2; //down x3\n",
       "\n",
       "            var y1 = (startI + .5) * n2Dy; //y1\n",
       "            var y2 = y1; //right y2\n",
       "            var y3 = endI * n2Dy; //down y3\n",
       "\n",
       "            DrawPathTwoLines(x1, y1, x2, y2, x3, y3, GREEN_ARROW_COLOR, lineWidth, true);\n",
       "        }\n",
       "        else if (startIndex > endIndex) { //left up arrow\n",
       "            //alert(\"yes\");\n",
       "            var x1 = startI * n2Dx; //x1\n",
       "            var x2 = (endI + .5) * n2Dx; //left x2\n",
       "            var x3 = x2; //up x3\n",
       "\n",
       "            var y1 = (startI + .5) * n2Dy; //y1\n",
       "            var y2 = y1; //left y2\n",
       "            var y3 = (endI + 1) * n2Dy; //y1\n",
       "\n",
       "            DrawPathTwoLines(x1, y1, x2, y2, x3, y3, RED_ARROW_COLOR, lineWidth, true);\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "function DrawMatrix() {\n",
       "    var u0 = n2Dx0 * .5,\n",
       "        v0 = n2Dy0 * .5,\n",
       "        u = n2Dx * .5,\n",
       "        v = n2Dy * .5; //(0,0) = center of cell... (u,v) = bottom right of cell... (-u,-v) = top left of cell\n",
       "\n",
       "    function GetOnDiagonalCellColor(d) {\n",
       "        var rt = d3RightTextNodesArrayZoomed[d.c];\n",
       "        if (rt.isMinimized) return COLLAPSED_COLOR;\n",
       "        if (rt.type === \"param\") return PARAM_COLOR;\n",
       "        if (rt.type === \"unconnected_param\") return UNCONNECTED_PARAM_COLOR\n",
       "        return (rt.implicit) ? UNKNOWN_IMPLICIT_COLOR : UNKNOWN_EXPLICIT_COLOR;\n",
       "    }\n",
       "\n",
       "    var classes = [\"cell_scalar\", \"cell_vector\", \"cell_group\", \"cell_scalarScalar\", \"cell_scalarVector\", \"cell_vectorScalar\",\n",
       "        \"cell_vectorVector\", \"cell_scalarGroup\", \"cell_groupScalar\", \"cell_vectorGroup\", \"cell_groupVector\", \"cell_groupGroup\"\n",
       "    ];\n",
       "    var datas = [symbols_scalar, symbols_vector, symbols_group, symbols_scalarScalar, symbols_scalarVector, symbols_vectorScalar,\n",
       "        symbols_vectorVector, symbols_scalarGroup, symbols_groupScalar, symbols_vectorGroup, symbols_groupVector, symbols_groupGroup\n",
       "    ];\n",
       "    var drawFunctions = [DrawScalar, DrawVector, DrawGroup, DrawScalar, DrawVector, DrawVector,\n",
       "        DrawVector, DrawGroup, DrawGroup, DrawGroup, DrawGroup, DrawGroup\n",
       "    ];\n",
       "    for (var i = 0; i < classes.length; ++i) {\n",
       "        var sel = n2ElementsGroup.selectAll(\".\" + classes[i])\n",
       "            .data(datas[i], function (d) {\n",
       "                return d.id;\n",
       "            });\n",
       "        var gEnter = sel.enter().append(\"g\")\n",
       "            .attr(\"class\", classes[i])\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx0 * (d.c - enterIndex) + u0) + \",\" + (n2Dy0 * (d.r - enterIndex) + v0) + \")\";\n",
       "                var roc = (d.obj && FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index0 = roc.rootIndex0 - zoomedElement.rootIndex0;\n",
       "                    return \"translate(\" + (n2Dx0 * index0 + u0) + \",\" + (n2Dy0 * index0 + v0) + \")\";\n",
       "                }\n",
       "                alert(\"error: enter transform not found\");\n",
       "            });\n",
       "        drawFunctions[i](gEnter, u0, v0, (i < 3) ? GetOnDiagonalCellColor : CONNECTION_COLOR, false)\n",
       "            .on(\"mouseover\", (i < 3) ? mouseOverOnDiagN2 : mouseOverOffDiagN2)\n",
       "            .on(\"mouseleave\", mouseOutN2)\n",
       "            .on(\"click\", mouseClickN2);\n",
       "\n",
       "\n",
       "        var gUpdate = gEnter.merge(sel).transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + (n2Dx * (d.c) + u) + \",\" + (n2Dy * (d.r) + v) + \")\";\n",
       "            });\n",
       "        drawFunctions[i](gUpdate, u, v, (i < 3) ? GetOnDiagonalCellColor : CONNECTION_COLOR, true);\n",
       "\n",
       "\n",
       "        var nodeExit = sel.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx * (d.c - exitIndex) + u) + \",\" + (n2Dy * (d.r - exitIndex) + v) + \")\";\n",
       "                var roc = (d.obj && FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index = roc.rootIndex - zoomedElement.rootIndex;\n",
       "                    return \"translate(\" + (n2Dx * index + u) + \",\" + (n2Dy * index + v) + \")\";\n",
       "                }\n",
       "                alert(\"error: exit transform not found\");\n",
       "            })\n",
       "            .remove();\n",
       "        drawFunctions[i](nodeExit, u, v, (i < 3) ? GetOnDiagonalCellColor : CONNECTION_COLOR, true);\n",
       "    }\n",
       "\n",
       "    {\n",
       "        var sel = n2GridLinesGroup.selectAll(\".horiz_line\")\n",
       "            .data(gridLines, function (d) {\n",
       "                return d.obj.id;\n",
       "            });\n",
       "\n",
       "        var gEnter = sel.enter().append(\"g\")\n",
       "            .attr(\"class\", \"horiz_line\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(0,\" + (n2Dy0 * (d.i - enterIndex)) + \")\";\n",
       "                var roc = (FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index0 = roc.rootIndex0 - zoomedElement.rootIndex0;\n",
       "                    return \"translate(0,\" + (n2Dy0 * index0) + \")\";\n",
       "                }\n",
       "                alert(\"error: enter transform not found\");\n",
       "            });\n",
       "        gEnter.append(\"line\")\n",
       "            .attr(\"x2\", WIDTH_N2_PX);\n",
       "\n",
       "        var gUpdate = gEnter.merge(sel).transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(0,\" + (n2Dy * d.i) + \")\";\n",
       "            });\n",
       "        gUpdate.select(\"line\")\n",
       "            .attr(\"x2\", WIDTH_N2_PX);\n",
       "\n",
       "        var nodeExit = sel.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(0,\" + (n2Dy * (d.i - exitIndex)) + \")\";\n",
       "                var roc = (FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index = roc.rootIndex - zoomedElement.rootIndex;\n",
       "                    return \"translate(0,\" + (n2Dy * index) + \")\";\n",
       "                }\n",
       "                alert(\"error: exit transform not found\");\n",
       "            })\n",
       "            .remove();\n",
       "    }\n",
       "\n",
       "    {\n",
       "        var sel = n2GridLinesGroup.selectAll(\".vert_line\")\n",
       "            .data(gridLines, function (d) {\n",
       "                return d.obj.id;\n",
       "            });\n",
       "        var gEnter = sel.enter().append(\"g\")\n",
       "            .attr(\"class\", \"vert_line\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx0 * (d.i - enterIndex)) + \")rotate(-90)\";\n",
       "                var roc = (FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var i0 = roc.rootIndex0 - zoomedElement.rootIndex0;\n",
       "                    return \"translate(\" + (n2Dx0 * i0) + \")rotate(-90)\";\n",
       "                }\n",
       "                alert(\"error: enter transform not found\");\n",
       "            });\n",
       "        gEnter.append(\"line\")\n",
       "            .attr(\"x1\", -HEIGHT_PX);\n",
       "\n",
       "        var gUpdate = gEnter.merge(sel).transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + (n2Dx * d.i) + \")rotate(-90)\";\n",
       "            });\n",
       "        gUpdate.select(\"line\")\n",
       "            .attr(\"x1\", -HEIGHT_PX);\n",
       "\n",
       "        var nodeExit = sel.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx * (d.i - exitIndex)) + \")rotate(-90)\";\n",
       "                var roc = (FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var i = roc.rootIndex - zoomedElement.rootIndex;\n",
       "                    return \"translate(\" + (n2Dx * i) + \")rotate(-90)\";\n",
       "                }\n",
       "                alert(\"error: exit transform not found\");\n",
       "            })\n",
       "            .remove();\n",
       "    }\n",
       "\n",
       "    {\n",
       "        var sel = n2ComponentBoxesGroup.selectAll(\".component_box\")\n",
       "            .data(drawableN2ComponentBoxes, function (d) {\n",
       "                return d.obj.id;\n",
       "            });\n",
       "        var gEnter = sel.enter().append(\"g\")\n",
       "            .attr(\"class\", \"component_box\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx0 * (d.startI - enterIndex)) + \",\" + (n2Dy0 * (d.startI - enterIndex)) + \")\";\n",
       "                var roc = (d.obj && FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index0 = roc.rootIndex0 - zoomedElement.rootIndex0;\n",
       "                    return \"translate(\" + (n2Dx0 * index0) + \",\" + (n2Dy0 * index0) + \")\";\n",
       "                }\n",
       "                alert(\"error: enter transform not found\");\n",
       "            });\n",
       "\n",
       "        gEnter.append(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                if (lastClickWasLeft) return n2Dx0 * (1 + d.stopI - d.startI);\n",
       "                return n2Dx0;\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                if (lastClickWasLeft) return n2Dy0 * (1 + d.stopI - d.startI);\n",
       "                return n2Dy0;\n",
       "            });\n",
       "\n",
       "        var gUpdate = gEnter.merge(sel).transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + (n2Dx * d.startI) + \",\" + (n2Dy * d.startI) + \")\";\n",
       "            });\n",
       "\n",
       "        gUpdate.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return n2Dx * (1 + d.stopI - d.startI);\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return n2Dy * (1 + d.stopI - d.startI);\n",
       "            });\n",
       "\n",
       "\n",
       "        var nodeExit = sel.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                if (lastClickWasLeft) return \"translate(\" + (n2Dx * (d.startI - exitIndex)) + \",\" + (n2Dy * (d.startI - exitIndex)) + \")\";\n",
       "                var roc = (d.obj && FindRootOfChangeFunction) ? FindRootOfChangeFunction(d.obj) : null;\n",
       "                if (roc) {\n",
       "                    var index = roc.rootIndex - zoomedElement.rootIndex;\n",
       "                    return \"translate(\" + (n2Dx * index) + \",\" + (n2Dy * index) + \")\";\n",
       "                }\n",
       "                alert(\"error: exit transform not found\");\n",
       "            })\n",
       "            .remove();\n",
       "\n",
       "        nodeExit.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                if (lastClickWasLeft) return n2Dx * (1 + d.stopI - d.startI);\n",
       "                return n2Dx;\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                if (lastClickWasLeft) return n2Dy * (1 + d.stopI - d.startI);\n",
       "                return n2Dy;\n",
       "            });\n",
       "    }\n",
       "}\n",
       "</script>\n",
       "\n",
       "    <script type=\"text/javascript\">\n",
       "function PtN2Diagram(parentDiv, modelData) {\n",
       "    var root = modelData.tree;\n",
       "    var conns = modelData.connections_list;\n",
       "    var abs2prom = modelData.hasOwnProperty(\"abs2prom\") ? modelData.abs2prom : undefined;\n",
       "\n",
       "    var FONT_SIZE_PX = 11;\n",
       "    var svgStyleElement = document.createElement(\"style\");\n",
       "    var outputNamingType = \"Absolute\";\n",
       "    var showPath = false; //default off\n",
       "\n",
       "    var DEFAULT_TRANSITION_START_DELAY = 100;\n",
       "    var transitionStartDelay = DEFAULT_TRANSITION_START_DELAY;\n",
       "    var idCounter = 0;\n",
       "    var maxDepth = 1;\n",
       "\n",
       "    var maxSystemDepth = 1; // For use with the right hand side solver tree. Only want max depth of solvers, not params,..\n",
       "\n",
       "    var RIGHT_TEXT_MARGIN_PX = 8; // How much space in px (left and) right of text in partition tree\n",
       "\n",
       "    //N^2 vars\n",
       "    var backButtonHistory = [], forwardButtonHistory = [];\n",
       "    var chosenCollapseDepth = -1;\n",
       "    var updateRecomputesAutoComplete = true; //default\n",
       "\n",
       "    var katexInputDivElement = document.getElementById(\"katexInputDiv\");\n",
       "    var katexInputElement = document.getElementById(\"katexInput\");\n",
       "\n",
       "    var tooltip = d3.select(\"body\").append(\"div\").attr(\"class\", \"tool-tip\")\n",
       "        .style(\"position\", \"absolute\")\n",
       "        .style(\"visibility\", \"hidden\");\n",
       "\n",
       "    mouseOverOnDiagN2 = MouseoverOnDiagN2;\n",
       "    mouseOverOffDiagN2 = MouseoverOffDiagN2;\n",
       "    mouseClickN2 = MouseClickN2;\n",
       "    mouseOutN2 = MouseoutN2;\n",
       "\n",
       "    CreateDomLayout();\n",
       "    CreateToolbar();\n",
       "\n",
       "    setD3ContentDiv();\n",
       "\n",
       "    parentDiv.querySelector(\"#svgId\").appendChild(svgStyleElement);\n",
       "    UpdateSvgCss(svgStyleElement, FONT_SIZE_PX);\n",
       "\n",
       "    arrowMarker = svg.append(\"svg:defs\").append(\"svg:marker\");\n",
       "\n",
       "    arrowMarker\n",
       "        .attr(\"id\", \"arrow\")\n",
       "        .attr(\"viewBox\", \"0 -5 10 10\")\n",
       "        .attr(\"refX\", 5)\n",
       "        .attr(\"refY\", 0)\n",
       "        .attr(\"markerWidth\", 1)\n",
       "        .attr(\"markerHeight\", 1)\n",
       "        .attr(\"orient\", \"auto\")\n",
       "        .append(\"path\")\n",
       "        .attr(\"d\", \"M0,-5L10,0L0,5\")\n",
       "        .attr(\"class\", \"arrowHead\");\n",
       "\n",
       "    setN2Group();\n",
       "    var pTreeGroup = svg.append(\"g\").attr(\"id\", \"tree\"); // id given just so it is easier to see in Chrome dev tools when debugging\n",
       "    var pSolverTreeGroup = svg.append(\"g\").attr(\"id\", \"solver_tree\");\n",
       "\n",
       "    function updateRootTypes() {\n",
       "        if (!showParams) return;\n",
       "\n",
       "        var stack = []\n",
       "        for (var i = 0; i < root.children.length; ++i) {\n",
       "            stack.push(root.children[i]);\n",
       "        }\n",
       "\n",
       "        while (stack.length > 0) {\n",
       "            var cur_ele = stack.pop();\n",
       "            if (cur_ele.type === \"param\") {\n",
       "                if (!hasInputConnection(cur_ele.absPathName) && !hasOutputConnection(cur_ele.absPathName)) {\n",
       "                    cur_ele.type = \"unconnected_param\";\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (cur_ele.hasOwnProperty('children')) {\n",
       "                for (var j = 0; j < cur_ele.children.length; ++j) {\n",
       "                    stack.push(cur_ele.children[j]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function hasInputConnection(target) {\n",
       "        for (i = 0; i < conns.length; ++i) {\n",
       "            if (conns[i].tgt === target) {\n",
       "                return true;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        return false;\n",
       "    }\n",
       "\n",
       "    function hasOutputConnection(target) {\n",
       "        for (i = 0; i < conns.length; ++i) {\n",
       "            if (conns[i].src === target) {\n",
       "                return true;\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "    hasInputConn = hasInputConnection;\n",
       "\n",
       "    var n2BackgroundRectR0 = -1, n2BackgroundRectC0 = -1;\n",
       "    var newConnsDict = {};\n",
       "    function PrintConnects() {\n",
       "        var text = \"Connections:\";\n",
       "        for (var key in newConnsDict) {\n",
       "            var d = newConnsDict[key];\n",
       "            var param = d3RightTextNodesArrayZoomed[d.c],\n",
       "                unknown = d3RightTextNodesArrayZoomed[d.r];\n",
       "            var paramName = (zoomedElement.promotions && zoomedElement.promotions[param.absPathName] !== undefined) ?\n",
       "                \"<b>\" + zoomedElement.promotions[param.absPathName] + \"</b>\" :\n",
       "                ((zoomedElement === root) ? param.absPathName : param.absPathName.slice(zoomedElement.absPathName.length + 1));\n",
       "            var unknownName = (zoomedElement.promotions && zoomedElement.promotions[unknown.absPathName] !== undefined) ?\n",
       "                \"<b>\" + zoomedElement.promotions[unknown.absPathName] + \"</b>\" :\n",
       "                ((zoomedElement === root) ? unknown.absPathName : unknown.absPathName.slice(zoomedElement.absPathName.length + 1));\n",
       "\n",
       "            text += \"<br />self.connect(\\\"\" + unknownName + \"\\\", \\\"\" + paramName + \"\\\")\";\n",
       "        }\n",
       "        if(true) {\n",
       "             parentDiv.querySelector(\"#connectionId\").innerHTML = text;\n",
       "        }\n",
       "        else {\n",
       "            parentDiv.querySelector(\"#connectionId\").innerHTML = \"\";\n",
       "        }\n",
       "    }\n",
       "    var n2BackgroundRect = n2Group.append(\"rect\")\n",
       "        .attr(\"class\", \"background\")\n",
       "        .attr(\"width\", WIDTH_N2_PX)\n",
       "        .attr(\"height\", HEIGHT_PX)\n",
       "        .on(\"click\", function () {\n",
       "            if (!showParams) return;\n",
       "            var coords = d3.mouse(this);\n",
       "            var c = Math.floor(coords[0] * d3RightTextNodesArrayZoomed.length / WIDTH_N2_PX);\n",
       "            var r = Math.floor(coords[1] * d3RightTextNodesArrayZoomed.length / HEIGHT_PX);\n",
       "            if (r == c || r < 0 || c < 0 || r >= d3RightTextNodesArrayZoomed.length || c >= d3RightTextNodesArrayZoomed.length) return;\n",
       "            if (matrix[r + \"_\" + c] !== undefined) return;\n",
       "\n",
       "            var param = d3RightTextNodesArrayZoomed[c],\n",
       "                unknown = d3RightTextNodesArrayZoomed[r];\n",
       "            if (param.type !== \"param\" && unknown.type !== \"unknown\") return;\n",
       "\n",
       "            var newClassName = \"n2_hover_elements_\" + r + \"_\" + c;\n",
       "            var selection = n2Group.selectAll(\".\" + newClassName);\n",
       "            if (selection.size() > 0) {\n",
       "                delete newConnsDict[r + \"_\" + c];\n",
       "                selection.remove();\n",
       "            }\n",
       "            else {\n",
       "                newConnsDict[r + \"_\" + c] = { \"r\": r, \"c\": c };\n",
       "                n2Group.selectAll(\"path.n2_hover_elements, circle.n2_hover_elements\")\n",
       "                    .attr(\"class\", newClassName);\n",
       "            }\n",
       "            PrintConnects();\n",
       "        })\n",
       "        .on(\"mouseover\", function () {\n",
       "            n2BackgroundRectR0 = -1;\n",
       "            n2BackgroundRectC0 = -1;\n",
       "            n2Group.selectAll(\".n2_hover_elements\").remove();\n",
       "            PrintConnects();\n",
       "        })\n",
       "        .on(\"mouseleave\", function () {\n",
       "            n2BackgroundRectR0 = -1;\n",
       "            n2BackgroundRectC0 = -1;\n",
       "            n2Group.selectAll(\".n2_hover_elements\").remove();\n",
       "            PrintConnects();\n",
       "        })\n",
       "        .on(\"mousemove\", function () {\n",
       "            if (!showParams) return;\n",
       "            var coords = d3.mouse(this);\n",
       "            var c = Math.floor(coords[0] * d3RightTextNodesArrayZoomed.length / WIDTH_N2_PX);\n",
       "            var r = Math.floor(coords[1] * d3RightTextNodesArrayZoomed.length / HEIGHT_PX);\n",
       "            if (r == c || r < 0 || c < 0 || r >= d3RightTextNodesArrayZoomed.length || c >= d3RightTextNodesArrayZoomed.length) return;\n",
       "            if (matrix[r + \"_\" + c] !== undefined) return;\n",
       "            if (n2BackgroundRectR0 == r && n2BackgroundRectC0 == c) return;\n",
       "            //n2Group.selectAll(\".n2_hover_elements_\" + n2BackgroundRectR0 + \"_\" + n2BackgroundRectC0).remove();\n",
       "            n2Group.selectAll(\".n2_hover_elements\").remove();\n",
       "            n2BackgroundRectR0 = r;\n",
       "            n2BackgroundRectC0 = c;\n",
       "\n",
       "            var lineWidth = Math.min(5, n2Dx * .5, n2Dy * .5);\n",
       "            arrowMarker.attr(\"markerWidth\", lineWidth * .4)\n",
       "                .attr(\"markerHeight\", lineWidth * .4);\n",
       "\n",
       "            var param = d3RightTextNodesArrayZoomed[c],\n",
       "                unknown = d3RightTextNodesArrayZoomed[r];\n",
       "            if (param.type !== \"param\" && unknown.type !== \"unknown\") return;\n",
       "            if (r > c && true) { //bottom left\n",
       "                DrawPathTwoLines(\n",
       "                    n2Dx * r, //x1\n",
       "                    n2Dy * r + n2Dy * .5, //y1\n",
       "                    n2Dx * c + n2Dx * .5, //left x2\n",
       "                    n2Dy * r + n2Dy * .5, //left y2\n",
       "                    n2Dx * c + n2Dx * .5, //up x3\n",
       "                    n2Dy * c + n2Dy - 1e-2, //up y3\n",
       "                    \"blue\", lineWidth, true);\n",
       "            }\n",
       "            else if (r < c && true) { //top right\n",
       "                DrawPathTwoLines(\n",
       "                    n2Dx * r + n2Dx, //x1\n",
       "                    n2Dy * r + n2Dy * .5, //y1\n",
       "                    n2Dx * c + n2Dx * .5, //right x2\n",
       "                    n2Dy * r + n2Dy * .5, //right y2\n",
       "                    n2Dx * c + n2Dx * .5, //down x3\n",
       "                    n2Dy * c + 1e-2, //down y3\n",
       "                    \"blue\", lineWidth, true);\n",
       "            }\n",
       "            var leftTextWidthR = d3RightTextNodesArrayZoomed[r].nameWidthPx,\n",
       "                leftTextWidthC = d3RightTextNodesArrayZoomed[c].nameWidthPx;\n",
       "            DrawRect(-leftTextWidthR - PTREE_N2_GAP_PX, n2Dy * r, leftTextWidthR, n2Dy, \"blue\"); //highlight var name\n",
       "            DrawRect(-leftTextWidthC - PTREE_N2_GAP_PX, n2Dy * c, leftTextWidthC, n2Dy, \"blue\"); //highlight var name\n",
       "\n",
       "            PrintConnects();\n",
       "\n",
       "            if (newConnsDict[r + \"_\" + c] === undefined) {\n",
       "                var paramName = (zoomedElement.promotions && zoomedElement.promotions[param.absPathName] !== undefined) ?\n",
       "                    \"<b>\" + zoomedElement.promotions[param.absPathName] + \"</b>\" :\n",
       "                    ((zoomedElement === root) ? param.absPathName : param.absPathName.slice(zoomedElement.absPathName.length + 1));\n",
       "                var unknownName = (zoomedElement.promotions && zoomedElement.promotions[unknown.absPathName] !== undefined) ?\n",
       "                    \"<b>\" + zoomedElement.promotions[unknown.absPathName] + \"</b>\" :\n",
       "                    ((zoomedElement === root) ? unknown.absPathName : unknown.absPathName.slice(zoomedElement.absPathName.length + 1));\n",
       "\n",
       "                if(true) {\n",
       "                    parentDiv.querySelector(\"#connectionId\").innerHTML += \"<br /><i style=\\\"color:red;\\\">self.connect(\\\"\" + unknownName + \"\\\", \\\"\" + paramName + \"\\\")</i>\";\n",
       "                }\n",
       "            }\n",
       "        });\n",
       "\n",
       "    setN2ElementsGroup();\n",
       "    var zoomedElement0 = root;\n",
       "    var lastRightClickedElement = root;\n",
       "\n",
       "    ExpandColonVars(root);\n",
       "    FlattenColonGroups(root);\n",
       "    InitTree(root, null, 1);\n",
       "    updateRootTypes();\n",
       "    ComputeLayout();\n",
       "    ComputeConnections();\n",
       "    ComputeMatrixN2();\n",
       "\n",
       "    var collapseDepthElement = parentDiv.querySelector(\"#idCollapseDepthDiv\");\n",
       "    for (var i = 2; i <= maxDepth; ++i) {\n",
       "        var option = document.createElement(\"span\");\n",
       "        option.className = \"fakeLink\";\n",
       "        option.id = \"idCollapseDepthOption\" + i + \"\";\n",
       "        option.innerHTML = \"\" + i + \"\";\n",
       "        var f = function (idx) {\n",
       "            return function () {\n",
       "                CollapseToDepthSelectChange(idx);\n",
       "            };\n",
       "        }(i);\n",
       "        option.onclick = f;\n",
       "        collapseDepthElement.appendChild(option);\n",
       "    }\n",
       "\n",
       "    Update();\n",
       "    SetupLegend(d3, d3ContentDiv);\n",
       "\n",
       "    function Update() {\n",
       "        parentDiv.querySelector(\"#currentPathId\").innerHTML = \"PATH: root\" + ((zoomedElement.parent) ? \".\" : \"\") + zoomedElement.absPathName;\n",
       "\n",
       "        parentDiv.querySelector(\"#backButtonId\").disabled = (backButtonHistory.length == 0) ? \"disabled\" : false;\n",
       "        parentDiv.querySelector(\"#forwardButtonId\").disabled = (forwardButtonHistory.length == 0) ? \"disabled\" : false;\n",
       "        parentDiv.querySelector(\"#upOneLevelButtonId\").disabled = (zoomedElement === root) ? \"disabled\" : false;\n",
       "        parentDiv.querySelector(\"#returnToRootButtonId\").disabled = (zoomedElement === root) ? \"disabled\" : false;\n",
       "\n",
       "        // Compute the new tree layout.\n",
       "        ComputeLayout(); //updates d3NodesArray\n",
       "        ComputeMatrixN2();\n",
       "\n",
       "        for (var i = 2; i <= maxDepth; ++i) {\n",
       "            parentDiv.querySelector(\"#idCollapseDepthOption\" + i + \"\").style.display = (i <= zoomedElement.depth) ? \"none\" : \"block\";\n",
       "        }\n",
       "\n",
       "        if (xScalerPTree0 != null) {//not first run.. store previous\n",
       "            kx0 = kx;\n",
       "            ky0 = ky;\n",
       "            xScalerPTree0 = xScalerPTree.copy();\n",
       "            yScalerPTree0 = yScalerPTree.copy();\n",
       "\n",
       "            kxSolver0 = kxSolver;\n",
       "            kySolver0 = kySolver;\n",
       "            xScalerPSolverTree0 = xScalerPSolverTree.copy();\n",
       "            yScalerPSolverTree0 = yScalerPSolverTree.copy();\n",
       "        }\n",
       "\n",
       "        kx = (zoomedElement.x ? widthPTreePx - PARENT_NODE_WIDTH_PX : widthPTreePx) / (1 - zoomedElement.x);\n",
       "        ky = HEIGHT_PX / zoomedElement.height;\n",
       "        xScalerPTree.domain([zoomedElement.x, 1]).range([zoomedElement.x ? PARENT_NODE_WIDTH_PX : 0, widthPTreePx]);\n",
       "        yScalerPTree.domain([zoomedElement.y, zoomedElement.y + zoomedElement.height]).range([0, HEIGHT_PX]);\n",
       "\n",
       "        kxSolver = (zoomedElement.xSolver ? widthPSolverTreePx - PARENT_NODE_WIDTH_PX : widthPSolverTreePx) / (1 - zoomedElement.xSolver);\n",
       "        kySolver = HEIGHT_PX / zoomedElement.heightSolver;\n",
       "        xScalerPSolverTree.domain([zoomedElement.xSolver, 1]).range([zoomedElement.xSolver ? PARENT_NODE_WIDTH_PX : 0, widthPSolverTreePx]);\n",
       "        yScalerPSolverTree.domain([zoomedElement.ySolver, zoomedElement.ySolver + zoomedElement.heightSolver]).range([0, HEIGHT_PX]);\n",
       "\n",
       "        if (xScalerPTree0 == null) { //first run.. duplicate\n",
       "            kx0 = kx;\n",
       "            ky0 = ky;\n",
       "            xScalerPTree0 = xScalerPTree.copy();\n",
       "            yScalerPTree0 = yScalerPTree.copy();\n",
       "\n",
       "            kxSolver0 = kxSolver;\n",
       "            kySolver0 = kySolver;\n",
       "            xScalerPSolverTree0 = xScalerPSolverTree.copy();\n",
       "            yScalerPSolverTree0 = yScalerPSolverTree.copy();\n",
       "\n",
       "            //Update svg dimensions before ComputeLayout() changes widthPTreePx\n",
       "            svgDiv.style(\"width\", (widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + widthPSolverTreePx + 2 * SVG_MARGIN + PTREE_N2_GAP_PX) + \"px\")\n",
       "                  .style(\"height\", (HEIGHT_PX + 2 * SVG_MARGIN) + \"px\");\n",
       "            svg.attr(\"width\", widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + widthPSolverTreePx + 2 * SVG_MARGIN + PTREE_N2_GAP_PX)\n",
       "               .attr(\"height\", HEIGHT_PX + 2 * SVG_MARGIN);\n",
       "\n",
       "            n2Group.attr(\"transform\", \"translate(\" + (widthPTreePx + PTREE_N2_GAP_PX + SVG_MARGIN) + \",\" + SVG_MARGIN + \")\");\n",
       "            pTreeGroup.attr(\"transform\", \"translate(\" + SVG_MARGIN + \",\" + SVG_MARGIN + \")\");\n",
       "\n",
       "            pSolverTreeGroup.attr(\"transform\", \"translate(\" + (widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + SVG_MARGIN + PTREE_N2_GAP_PX) + \",\" + SVG_MARGIN + \")\");\n",
       "        }\n",
       "\n",
       "        sharedTransition = d3.transition().duration(TRANSITION_DURATION).delay(transitionStartDelay); //do this after intense computation\n",
       "        transitionStartDelay = DEFAULT_TRANSITION_START_DELAY;\n",
       "\n",
       "        //Update svg dimensions with transition after ComputeLayout() changes widthPTreePx\n",
       "        svgDiv.transition(sharedTransition).style(\"width\", (widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + widthPSolverTreePx + 2 * SVG_MARGIN + PTREE_N2_GAP_PX) + \"px\")\n",
       "            .style(\"height\", (HEIGHT_PX + 2 * SVG_MARGIN) + \"px\");\n",
       "        svg.transition(sharedTransition).attr(\"width\", widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + widthPSolverTreePx + 2 * SVG_MARGIN + PTREE_N2_GAP_PX)\n",
       "            .attr(\"height\", HEIGHT_PX + 2 * SVG_MARGIN);\n",
       "\n",
       "        n2Group.transition(sharedTransition).attr(\"transform\", \"translate(\" + (widthPTreePx + PTREE_N2_GAP_PX + SVG_MARGIN) + \",\" + SVG_MARGIN + \")\");\n",
       "        pTreeGroup.transition(sharedTransition).attr(\"transform\", \"translate(\" + SVG_MARGIN + \",\" + SVG_MARGIN + \")\");\n",
       "        n2BackgroundRect.transition(sharedTransition).attr(\"width\", WIDTH_N2_PX).attr(\"height\", HEIGHT_PX);\n",
       "\n",
       "        pSolverTreeGroup.transition(sharedTransition).attr(\"transform\", \"translate(\" + (widthPTreePx + PTREE_N2_GAP_PX + WIDTH_N2_PX + SVG_MARGIN + PTREE_N2_GAP_PX) + \",\" + SVG_MARGIN + \")\");\n",
       "\n",
       "        var sel = pTreeGroup.selectAll(\".partition_group\")\n",
       "            .data(d3NodesArray, function (d) {\n",
       "                return d.id;\n",
       "            });\n",
       "\n",
       "        var nodeEnter = sel.enter().append(\"svg:g\")\n",
       "            .attr(\"class\", function (d) {\n",
       "                return \"partition_group \" + GetClass(d);\n",
       "            })\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + xScalerPTree0(d.x0) + \",\" + yScalerPTree0(d.y0) + \")\";\n",
       "            })\n",
       "            .on(\"click\", function (d) { LeftClick(d, this); })\n",
       "            .on(\"contextmenu\", function (d) { RightClick(d, this); })\n",
       "            .on(\"mouseover\", function (d) {\n",
       "                if (abs2prom != undefined) {\n",
       "                    if (d.type == \"param\" || d.type == \"unconnected_param\") {\n",
       "                        return tooltip.text(abs2prom.input[d.absPathName])\n",
       "                                      .style(\"visibility\", \"visible\");\n",
       "                    }\n",
       "                    if (d.type == \"unknown\") {\n",
       "                        return tooltip.text(abs2prom.output[d.absPathName])\n",
       "                                      .style(\"visibility\", \"visible\");\n",
       "                    }\n",
       "                }\n",
       "            })\n",
       "            .on(\"mouseleave\", function (d) {\n",
       "                if (abs2prom != undefined) {\n",
       "                    return tooltip.style(\"visibility\", \"hidden\");\n",
       "                }\n",
       "            })\n",
       "            .on(\"mousemove\", function(){\n",
       "                if (abs2prom != undefined) {\n",
       "                    return tooltip.style(\"top\", (d3.event.pageY-30)+\"px\")\n",
       "                                  .style(\"left\",(d3.event.pageX+5)+\"px\");\n",
       "                }\n",
       "            });\n",
       "\n",
       "        nodeEnter.append(\"svg:rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.width0 * kx0;//0;//\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.height0 * ky0;\n",
       "            });\n",
       "\n",
       "        nodeEnter.append(\"svg:text\")\n",
       "            .attr(\"dy\", \".35em\")\n",
       "            //.attr(\"text-anchor\", \"end\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.width0 * kx0 - RIGHT_TEXT_MARGIN_PX;\n",
       "                //var anchorX = -RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.height0 * ky0 / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", function (d) {\n",
       "                if (d.depth < zoomedElement.depth) return 0;\n",
       "                return d.textOpacity0;\n",
       "            })\n",
       "            .text(GetText);\n",
       "\n",
       "        var nodeUpdate = nodeEnter.merge(sel).transition(sharedTransition)\n",
       "            .attr(\"class\", function (d) {\n",
       "                return \"partition_group \" + GetClass(d);\n",
       "            })\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + xScalerPTree(d.x) + \",\" + yScalerPTree(d.y) + \")\";\n",
       "            });\n",
       "\n",
       "        nodeUpdate.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.width * kx;\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.height * ky;\n",
       "            });\n",
       "\n",
       "        nodeUpdate.select(\"text\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.width * kx - RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.height * ky / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", function (d) {\n",
       "                if (d.depth < zoomedElement.depth) return 0;\n",
       "                return d.textOpacity;\n",
       "            })\n",
       "            .text(GetText);\n",
       "\n",
       "\n",
       "        // Transition exiting nodes to the parent's new position.\n",
       "        var nodeExit = sel.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + xScalerPTree(d.x) + \",\" + yScalerPTree(d.y) + \")\";\n",
       "            })\n",
       "            .remove();\n",
       "\n",
       "        nodeExit.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.width * kx;//0;//\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.height * ky;\n",
       "            });\n",
       "\n",
       "        nodeExit.select(\"text\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.width * kx - RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.height * ky / 2 + \")\";\n",
       "                //return \"translate(8,\" + d.height * ky / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", 0);\n",
       "\n",
       "\n",
       "       var selSolver = pSolverTreeGroup.selectAll(\".solver_group\")\n",
       "            .data(d3SolverNodesArray, function (d) {\n",
       "                return d.id;\n",
       "            });\n",
       "\n",
       "        function getSolverClass(showLinearSolverNames, linear_solver_name, nonlinear_solver_name){\n",
       "            if (showLinearSolverNames){\n",
       "                if (linearSolverNames.indexOf(linear_solver_name) >= 0){\n",
       "                    solver_class = linearSolverClasses[linear_solver_name]\n",
       "                } else {\n",
       "                    solver_class = linearSolverClasses[\"other\"]; // user must have defined their own solver that we do not know about\n",
       "                }\n",
       "            } else {\n",
       "                if (nonLinearSolverNames.indexOf(nonlinear_solver_name) >= 0){\n",
       "                    solver_class = nonLinearSolverClasses[nonlinear_solver_name]\n",
       "                } else {\n",
       "                    solver_class = nonLinearSolverClasses[\"other\"]; // user must have defined their own solver that we do not know about\n",
       "                }\n",
       "            }\n",
       "            return solver_class;\n",
       "        }\n",
       "\n",
       "        var nodeSolverEnter = selSolver.enter().append(\"svg:g\")\n",
       "            .attr(\"class\", function (d) {\n",
       "                solver_class = getSolverClass(showLinearSolverNames, d.linear_solver, d.nonlinear_solver) ;\n",
       "                return solver_class + \" \" + \"solver_group \" + GetClass(d) ;\n",
       "            })\n",
       "            .attr(\"transform\", function (d) {\n",
       "                x = 1.0 - d.xSolver0 - d.widthSolver0; // The magic for reversing the blocks on the right side\n",
       "                // The solver tree goes from the root on the right and expands to the left\n",
       "                return \"translate(\" + xScalerPSolverTree0(x) + \",\" + yScalerPSolverTree0(d.ySolver0) + \")\";\n",
       "            })\n",
       "            .on(\"click\", function (d) { LeftClick(d, this); })\n",
       "            .on(\"contextmenu\", function (d) { RightClick(d, this); })\n",
       "            .on(\"mouseover\", function (d) {\n",
       "                if (abs2prom != undefined) {\n",
       "                    if (d.type == \"param\" || d.type == \"unconnected_param\") {\n",
       "                        return tooltip.text(abs2prom.input[d.absPathName])\n",
       "                                      .style(\"visibility\", \"visible\");\n",
       "                    }\n",
       "                    if (d.type == \"unknown\") {\n",
       "                        return tooltip.text(abs2prom.output[d.absPathName])\n",
       "                                      .style(\"visibility\", \"visible\");\n",
       "                    }\n",
       "                }\n",
       "            })\n",
       "            .on(\"mouseleave\", function (d) {\n",
       "                if (abs2prom != undefined) {\n",
       "                    return tooltip.style(\"visibility\", \"hidden\");\n",
       "                }\n",
       "            })\n",
       "            .on(\"mousemove\", function(){\n",
       "                if (abs2prom != undefined) {\n",
       "                    return tooltip.style(\"top\", (d3.event.pageY-30)+\"px\")\n",
       "                                  .style(\"left\",(d3.event.pageX+5)+\"px\");\n",
       "                }\n",
       "            });\n",
       "\n",
       "        nodeSolverEnter.append(\"svg:rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.widthSolver0 * kxSolver0;//0;//\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.heightSolver0 * kySolver0;\n",
       "            });\n",
       "\n",
       "        nodeSolverEnter.append(\"svg:text\")\n",
       "            .attr(\"dy\", \".35em\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.widthSolver0 * kxSolver0 - RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.heightSolver0 * kySolver0 / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", function (d) {\n",
       "                if (d.depth < zoomedElement.depth) return 0;\n",
       "                return d.textOpacity0;\n",
       "            })\n",
       "            .text(GetSolverText);\n",
       "\n",
       "        var nodeSolverUpdate = nodeSolverEnter.merge(selSolver).transition(sharedTransition)\n",
       "            .attr(\"class\", function (d) {\n",
       "                solver_class = getSolverClass(showLinearSolverNames, d.linear_solver, d.nonlinear_solver) ;\n",
       "                return solver_class + \" \" + \"solver_group \" + GetClass(d) ;\n",
       "            })\n",
       "            .attr(\"transform\", function (d) {\n",
       "                x = 1.0 - d.xSolver - d.widthSolver; // The magic for reversing the blocks on the right side\n",
       "                return \"translate(\" + xScalerPSolverTree(x) + \",\" + yScalerPSolverTree(d.ySolver) + \")\";\n",
       "            });\n",
       "\n",
       "        nodeSolverUpdate.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.widthSolver * kxSolver;\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.heightSolver * kySolver;\n",
       "            });\n",
       "\n",
       "        nodeSolverUpdate.select(\"text\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.widthSolver * kxSolver - RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.heightSolver * kySolver / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", function (d) {\n",
       "                if (d.depth < zoomedElement.depth) return 0;\n",
       "                return d.textOpacity;\n",
       "            })\n",
       "            .text(GetSolverText);\n",
       "\n",
       "\n",
       "        // Transition exiting nodes to the parent's new position.\n",
       "        var nodeSolverExit = selSolver.exit().transition(sharedTransition)\n",
       "            .attr(\"transform\", function (d) {\n",
       "                return \"translate(\" + xScalerPSolverTree(d.xSolver) + \",\" + yScalerPSolverTree(d.ySolver) + \")\";\n",
       "            })\n",
       "            .remove();\n",
       "\n",
       "        nodeSolverExit.select(\"rect\")\n",
       "            .attr(\"width\", function (d) {\n",
       "                return d.widthSolver * kxSolver;//0;//\n",
       "            })\n",
       "            .attr(\"height\", function (d) {\n",
       "                return d.heightSolver * kySolver;\n",
       "            });\n",
       "\n",
       "        nodeSolverExit.select(\"text\")\n",
       "            .attr(\"transform\", function (d) {\n",
       "                var anchorX = d.widthSolver * kxSolver - RIGHT_TEXT_MARGIN_PX;\n",
       "                return \"translate(\" + anchorX + \",\" + d.heightSolver * kySolver / 2 + \")\";\n",
       "            })\n",
       "            .style(\"opacity\", 0);\n",
       "\n",
       "\n",
       "        ClearArrowsAndConnects()\n",
       "        DrawMatrix();\n",
       "    }\n",
       "\n",
       "    updateFunc = Update;\n",
       "\n",
       "    function ClearArrows() {\n",
       "        n2Group.selectAll(\"[class^=n2_hover_elements]\").remove();\n",
       "    }\n",
       "\n",
       "    function ClearArrowsAndConnects() {\n",
       "        ClearArrows();\n",
       "        newConnsDict = {};\n",
       "        PrintConnects();\n",
       "    }\n",
       "\n",
       "    function ExpandColonVars(d) {\n",
       "        function findNameInIndex(arr, name) {\n",
       "            for (var i = 0; i < arr.length; ++i) {\n",
       "                if (arr[i].name === name) return i;\n",
       "            }\n",
       "            return -1;\n",
       "        }\n",
       "\n",
       "        function addChildren(originalParent, parent, arrayOfNames, arrayOfNamesIndex, type) {\n",
       "            if (arrayOfNames.length == arrayOfNamesIndex) return;\n",
       "\n",
       "            var name = arrayOfNames[arrayOfNamesIndex];\n",
       "\n",
       "            if (!parent.hasOwnProperty(\"children\")) {\n",
       "                parent.children = [];\n",
       "            }\n",
       "\n",
       "            var parentI = findNameInIndex(parent.children, name);\n",
       "            if (parentI == -1) { //new name not found in parent, create new\n",
       "                var newObj = {\n",
       "                    \"name\": name,\n",
       "                    \"type\": type,\n",
       "                    \"splitByColon\": true,\n",
       "                    \"originalParent\": originalParent\n",
       "                };\n",
       "                if (type === \"param\" && type === \"unconnected_param\") {\n",
       "                    parent.children.splice(0, 0, newObj);\n",
       "                }\n",
       "                else {\n",
       "                    parent.children.push(newObj);\n",
       "                }\n",
       "                addChildren(originalParent, newObj, arrayOfNames, arrayOfNamesIndex + 1, type);\n",
       "            } else { //new name already found in parent, keep traversing\n",
       "                addChildren(originalParent, parent.children[parentI], arrayOfNames, arrayOfNamesIndex + 1, type);\n",
       "            }\n",
       "        }\n",
       "\n",
       "        if (!d.children) return;\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "\n",
       "            var splitArray = d.children[i].name.split(\":\");\n",
       "            if (splitArray.length > 1) {\n",
       "                if (!d.hasOwnProperty(\"subsystem_type\") || d.subsystem_type !== \"component\") {\n",
       "                    alert(\"error: there is a colon named object whose parent is not a component\");\n",
       "                    return;\n",
       "                }\n",
       "                var type = d.children[i].type;\n",
       "                d.children.splice(i--, 1);\n",
       "                addChildren(d, d, splitArray, 0, type);\n",
       "            }\n",
       "        }\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "            ExpandColonVars(d.children[i]);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function FlattenColonGroups(d) {\n",
       "        if (!d.children) return;\n",
       "        while (d.splitByColon && d.children && d.children.length == 1 && d.children[0].splitByColon) {\n",
       "            //alert(\"combine \" + d.name + \" \" + d.children[0].name);\n",
       "            var child = d.children[0];\n",
       "            d.name += \":\" + child.name;\n",
       "            d.children = (child.hasOwnProperty(\"children\") && child.children.length >= 1) ? child.children : null; //absorb childs children\n",
       "            if (d.children == null) delete d.children;\n",
       "        }\n",
       "        if (!d.children) return;\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "            FlattenColonGroups(d.children[i]);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function GetText(d) {\n",
       "        var retVal = d.name;\n",
       "        if (outputNamingType === \"Promoted\" && (d.type === \"unknown\" || d.type === \"param\" || d.type === \"unconnected_param\") && zoomedElement.promotions && zoomedElement.promotions[d.absPathName] !== undefined) {\n",
       "            retVal = zoomedElement.promotions[d.absPathName];\n",
       "        }\n",
       "        if (d.splitByColon && d.children && d.children.length > 0) retVal += \":\";\n",
       "        return retVal;\n",
       "    }\n",
       "\n",
       "    function GetSolverText(d) {\n",
       "        var retVal = showLinearSolverNames ? d.linear_solver : d.nonlinear_solver;\n",
       "        return retVal;\n",
       "    }\n",
       "\n",
       "    //Sets parents, depth, and nameWidthPx of all nodes.  Also finds and sets maxDepth.\n",
       "    function InitTree(d, parent, depth) {\n",
       "        d.numLeaves = 0; //for nested params\n",
       "        d.depth = depth;\n",
       "        d.parent = parent;\n",
       "        d.id = ++idCounter; //id starts at 1 for if comparision\n",
       "        d.absPathName = \"\";\n",
       "        if (d.parent) { //not root node? d.parent.absPathName : \"\";\n",
       "            if (d.parent.absPathName !== \"\") {\n",
       "                d.absPathName += d.parent.absPathName;\n",
       "                d.absPathName += (d.parent.splitByColon) ? \":\" : \".\";\n",
       "            }\n",
       "            d.absPathName += d.name;\n",
       "        }\n",
       "        if (d.type === \"unknown\" || d.type === \"param\" || d.type === \"unconnected_param\") {\n",
       "            var parentComponent = (d.originalParent) ? d.originalParent : d.parent;\n",
       "            if (parentComponent.type === \"subsystem\" && parentComponent.subsystem_type === \"component\") {\n",
       "                d.parentComponent = parentComponent;\n",
       "            }\n",
       "            else {\n",
       "                alert(\"error: there is a param or unknown without a parent component!\");\n",
       "            }\n",
       "        }\n",
       "        if (d.splitByColon) {\n",
       "            d.colonName = d.name;\n",
       "            for (var obj = d.parent; obj.splitByColon; obj = obj.parent) {\n",
       "                d.colonName = obj.name + \":\" + d.colonName;\n",
       "            }\n",
       "        }\n",
       "        maxDepth = Math.max(depth, maxDepth);\n",
       "\n",
       "        if (d.type === \"subsystem\") {\n",
       "            maxSystemDepth = Math.max(depth, maxSystemDepth);\n",
       "        }\n",
       "\n",
       "        if (d.children) {\n",
       "            for (var i = 0; i < d.children.length; ++i) {\n",
       "                var implicit = InitTree(d.children[i], d, depth + 1);\n",
       "                if (implicit) {\n",
       "                    d.implicit = true;\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        return (d.implicit) ? true : false;\n",
       "    }\n",
       "\n",
       "\n",
       "    function ComputeLayout() {\n",
       "        var columnWidthsPx = new Array(maxDepth + 1).fill(0.0),// since depth is one based\n",
       "            columnLocationsPx = new Array(maxDepth + 1).fill(0.0);\n",
       "\n",
       "        var columnSolverWidthsPx = new Array(maxDepth + 1).fill(0.0),// since depth is one based\n",
       "            columnSolverLocationsPx = new Array(maxDepth + 1).fill(0.0);\n",
       "\n",
       "        var textWidthGroup = svg.append(\"svg:g\").attr(\"class\", \"partition_group\");\n",
       "        var textWidthText = textWidthGroup.append(\"svg:text\")\n",
       "            .text(\"\")\n",
       "            .attr(\"x\", -50); // Put text off screen\n",
       "        var textWidthTextNode = textWidthText.node();\n",
       "\n",
       "        var autoCompleteSetNames = {}, autoCompleteSetPathNames = {};\n",
       "\n",
       "        function PopulateAutoCompleteList(d) {\n",
       "            if (d.children && !d.isMinimized) { //depth first, dont go into minimized children\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    PopulateAutoCompleteList(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "            if (d === zoomedElement) return;\n",
       "            if (!showParams && (d.type === \"param\" || d.type === \"unconnected_param\")) return;\n",
       "\n",
       "            var n = d.name;\n",
       "            if (d.splitByColon && d.children && d.children.length > 0) n += \":\";\n",
       "            if ((d.type !== \"param\" && d.type !== \"unconnected_param\") && d.type !== \"unknown\") n += \".\";\n",
       "            var namesToAdd = [n];\n",
       "\n",
       "            if (d.splitByColon) namesToAdd.push(d.colonName + ((d.children && d.children.length > 0) ? \":\" : \"\"));\n",
       "\n",
       "            namesToAdd.forEach(function (name) {\n",
       "                if (!autoCompleteSetNames.hasOwnProperty(name)) {\n",
       "                    autoCompleteSetNames[name] = true;\n",
       "                    autoCompleteListNames.push(name);\n",
       "                }\n",
       "            });\n",
       "\n",
       "            var localPathName = (zoomedElement === root) ? d.absPathName : d.absPathName.slice(zoomedElement.absPathName.length + 1);\n",
       "            if (!autoCompleteSetPathNames.hasOwnProperty(localPathName)) {\n",
       "                autoCompleteSetPathNames[localPathName] = true;\n",
       "                autoCompleteListPathNames.push(localPathName);\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function GetTextWidth(s) {\n",
       "            textWidthText.text(s);\n",
       "            return textWidthTextNode.getBoundingClientRect().width;\n",
       "        }\n",
       "\n",
       "        function UpdateTextWidths(d) {\n",
       "            if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_param\")) || d.varIsHidden) return;\n",
       "            d.nameWidthPx = GetTextWidth(GetText(d)) + 2 * RIGHT_TEXT_MARGIN_PX;\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    UpdateTextWidths(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function UpdateSolverTextWidths(d) {\n",
       "            if ((d.type === \"param\" || d.type === \"unconnected_param\") || d.varIsHidden) return;\n",
       "            d.nameSolverWidthPx = GetTextWidth(GetSolverText(d)) + 2 * RIGHT_TEXT_MARGIN_PX;\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    UpdateSolverTextWidths(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function ComputeColumnWidths(d) {\n",
       "            var greatestDepth = 0;\n",
       "            var leafWidthsPx = new Array(maxDepth + 1).fill(0.0);\n",
       "\n",
       "            function DoComputeColumnWidths(d) {\n",
       "                if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_param\")) || d.varIsHidden) return;\n",
       "\n",
       "                var heightPx = HEIGHT_PX * d.numLeaves / zoomedElement.numLeaves;\n",
       "                d.textOpacity0 = d.hasOwnProperty('textOpacity') ? d.textOpacity : 0;\n",
       "                d.textOpacity = (heightPx > FONT_SIZE_PX) ? 1 : 0;\n",
       "                var hasVisibleDetail = (heightPx >= 2.0);\n",
       "                var widthPx = 1e-3;\n",
       "                if (hasVisibleDetail) widthPx = MIN_COLUMN_WIDTH_PX;\n",
       "                if (d.textOpacity > 0.5) widthPx = d.nameWidthPx;\n",
       "\n",
       "                greatestDepth = Math.max(greatestDepth, d.depth);\n",
       "\n",
       "                if (d.children && !d.isMinimized) { //not leaf\n",
       "                    columnWidthsPx[d.depth] = Math.max(columnWidthsPx[d.depth], widthPx);\n",
       "                    for (var i = 0; i < d.children.length; ++i) {\n",
       "                        DoComputeColumnWidths(d.children[i]);\n",
       "                    }\n",
       "                }\n",
       "                else { //leaf\n",
       "                    leafWidthsPx[d.depth] = Math.max(leafWidthsPx[d.depth], widthPx);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            DoComputeColumnWidths(d);\n",
       "\n",
       "\n",
       "            var sum = 0;\n",
       "            var lastColumnWidth = 0;\n",
       "            for (var i = leafWidthsPx.length - 1; i >= zoomedElement.depth; --i) {\n",
       "                sum += columnWidthsPx[i];\n",
       "                var lastWidthNeeded = leafWidthsPx[i] - sum;\n",
       "                lastColumnWidth = Math.max(lastWidthNeeded, lastColumnWidth);\n",
       "            }\n",
       "            columnWidthsPx[zoomedElement.depth - 1] = PARENT_NODE_WIDTH_PX;\n",
       "            columnWidthsPx[greatestDepth] = lastColumnWidth;\n",
       "\n",
       "        }\n",
       "\n",
       "        function ComputeSolverColumnWidths(d) {\n",
       "            var greatestDepth = 0;\n",
       "            var leafSolverWidthsPx = new Array(maxDepth + 1).fill(0.0);\n",
       "\n",
       "            function DoComputeSolverColumnWidths(d) {\n",
       "                var heightPx = HEIGHT_PX * d.numSolverLeaves / zoomedElement.numSolverLeaves;\n",
       "                d.textOpacity0 = d.hasOwnProperty('textOpacity') ? d.textOpacity : 0;\n",
       "                d.textOpacity = (heightPx > FONT_SIZE_PX) ? 1 : 0;\n",
       "                var hasVisibleDetail = (heightPx >= 2.0);\n",
       "                var widthPx = 1e-3;\n",
       "                if (hasVisibleDetail) widthPx = MIN_COLUMN_WIDTH_PX;\n",
       "                if (d.textOpacity > 0.5) widthPx = d.nameSolverWidthPx;\n",
       "\n",
       "                greatestDepth = Math.max(greatestDepth, d.depth);\n",
       "\n",
       "                if (d.subsystem_children && !d.isMinimized) { //not leaf\n",
       "                    columnSolverWidthsPx[d.depth] = Math.max(columnSolverWidthsPx[d.depth], widthPx);\n",
       "                    for (var i = 0; i < d.subsystem_children.length; ++i) {\n",
       "                        DoComputeSolverColumnWidths(d.subsystem_children[i]);\n",
       "                    }\n",
       "                }\n",
       "                else { //leaf\n",
       "                    leafSolverWidthsPx[d.depth] = Math.max(leafSolverWidthsPx[d.depth], widthPx);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            DoComputeSolverColumnWidths(d);\n",
       "\n",
       "\n",
       "            var sum = 0;\n",
       "            var lastColumnWidth = 0;\n",
       "            for (var i = leafSolverWidthsPx.length - 1; i >= zoomedElement.depth; --i) {\n",
       "                sum += columnSolverWidthsPx[i];\n",
       "                var lastWidthNeeded = leafSolverWidthsPx[i] - sum;\n",
       "                lastColumnWidth = Math.max(lastWidthNeeded, lastColumnWidth);\n",
       "            }\n",
       "            columnSolverWidthsPx[zoomedElement.depth - 1] = PARENT_NODE_WIDTH_PX;\n",
       "            columnSolverWidthsPx[greatestDepth] = lastColumnWidth;\n",
       "\n",
       "        }\n",
       "\n",
       "\n",
       "        function ComputeLeaves(d) {\n",
       "            if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_params\")) || d.varIsHidden) {\n",
       "                d.numLeaves = 0;\n",
       "                return;\n",
       "            }\n",
       "            var doRecurse = d.children && !d.isMinimized;\n",
       "            d.numLeaves = doRecurse ? 0 : 1; //no children: init to 0 because will be added later\n",
       "            if (!doRecurse) return;\n",
       "\n",
       "            for (var i = 0; i < d.children.length; ++i) {\n",
       "                ComputeLeaves(d.children[i]);\n",
       "                d.numLeaves += d.children[i].numLeaves;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function ComputeSolverLeaves(d) {\n",
       "            if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_params\")) || d.varIsHidden) {\n",
       "                d.numSolverLeaves = 0;\n",
       "                return;\n",
       "            }\n",
       "\n",
       "            var doRecurse = d.children && !d.isMinimized;\n",
       "            d.numSolverLeaves = doRecurse ? 0 : 1; //no children: init to 0 because will be added later\n",
       "            if (!doRecurse) return;\n",
       "\n",
       "            for (var i = 0; i < d.children.length; ++i) {\n",
       "                ComputeSolverLeaves(d.children[i]);\n",
       "                d.numSolverLeaves += d.children[i].numSolverLeaves;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function ComputeNormalizedPositions(d, leafCounter, isChildOfZoomed, earliestMinimizedParent) {\n",
       "            isChildOfZoomed = (isChildOfZoomed) ? true : (d === zoomedElement);\n",
       "            if (earliestMinimizedParent == null && isChildOfZoomed) {\n",
       "                if ((showParams || (d.type !== \"param\" && d.type !== \"unconnected_param\")) && !d.varIsHidden) d3NodesArray.push(d);\n",
       "                if (!d.children || d.isMinimized) { //at a \"leaf\" node\n",
       "                    if ((showParams || (d.type !== \"param\" && d.type !== \"unconnected_param\")) && !d.varIsHidden) d3RightTextNodesArrayZoomed.push(d);\n",
       "                    earliestMinimizedParent = d;\n",
       "                }\n",
       "            }\n",
       "            var node = (earliestMinimizedParent) ? earliestMinimizedParent : d;\n",
       "            d.rootIndex0 = d.hasOwnProperty('rootIndex') ? d.rootIndex : leafCounter;\n",
       "            d.rootIndex = leafCounter;\n",
       "            d.x0 = d.hasOwnProperty('x') ? d.x : 1e-6;\n",
       "            d.y0 = d.hasOwnProperty('y') ? d.y : 1e-6;\n",
       "            d.width0 = d.hasOwnProperty('width') ? d.width : 1e-6;\n",
       "            d.height0 = d.hasOwnProperty('height') ? d.height : 1e-6;\n",
       "            d.x = columnLocationsPx[node.depth] / widthPTreePx;\n",
       "            d.y = leafCounter / root.numLeaves;\n",
       "            d.width = (d.children && !d.isMinimized) ? (columnWidthsPx[node.depth] / widthPTreePx) : 1 - node.x;//1-d.x;\n",
       "            d.height = node.numLeaves / root.numLeaves;\n",
       "            if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_param\")) || d.varIsHidden) { //param or hidden leaf leaving\n",
       "                d.x = columnLocationsPx[d.parentComponent.depth + 1] / widthPTreePx;\n",
       "                d.y = d.parentComponent.y;\n",
       "                d.width = 1e-6;\n",
       "                d.height = 1e-6;\n",
       "            }\n",
       "\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    ComputeNormalizedPositions(d.children[i], leafCounter, isChildOfZoomed, earliestMinimizedParent);\n",
       "                    if (earliestMinimizedParent == null) { //numleaves is only valid passed nonminimized nodes\n",
       "                        leafCounter += d.children[i].numLeaves;\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "\n",
       "        function ComputeSolverNormalizedPositions(d, leafCounter, isChildOfZoomed, earliestMinimizedParent) {\n",
       "            isChildOfZoomed = (isChildOfZoomed) ? true : (d === zoomedElement);\n",
       "            if (earliestMinimizedParent == null && isChildOfZoomed) {\n",
       "                if (d.type === \"subsystem\" || d.type === \"root\" ) d3SolverNodesArray.push(d);\n",
       "                if (!d.children || d.isMinimized) { //at a \"leaf\" node\n",
       "                    if ((d.type !== \"param\" && d.type !== \"unconnected_param\") && !d.varIsHidden) d3SolverRightTextNodesArrayZoomed.push(d);\n",
       "                    earliestMinimizedParent = d;\n",
       "                }\n",
       "            }\n",
       "            var node = (earliestMinimizedParent) ? earliestMinimizedParent : d;\n",
       "            d.rootIndex0 = d.hasOwnProperty('rootIndex') ? d.rootIndex : leafCounter;\n",
       "            d.xSolver0 = d.hasOwnProperty('xSolver') ? d.xSolver : 1e-6;\n",
       "            d.ySolver0 = d.hasOwnProperty('ySolver') ? d.ySolver : 1e-6;\n",
       "            d.widthSolver0 = d.hasOwnProperty('widthSolver') ? d.widthSolver : 1e-6;\n",
       "            d.heightSolver0 = d.hasOwnProperty('heightSolver') ? d.heightSolver : 1e-6;\n",
       "            d.xSolver = columnSolverLocationsPx[node.depth] / widthPSolverTreePx;\n",
       "            d.ySolver = leafCounter / root.numSolverLeaves;\n",
       "            d.widthSolver = (d.subsystem_children && !d.isMinimized) ? (columnSolverWidthsPx[node.depth] / widthPSolverTreePx) : 1 - node.xSolver;//1-d.x;\n",
       "\n",
       "            d.heightSolver = node.numSolverLeaves / root.numSolverLeaves; 111\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "            if ((!showParams && (d.type === \"param\" || d.type === \"unconnected_param\")) || d.varIsHidden) { //param or hidden leaf leaving\n",
       "                d.xSolver = columnLocationsPx[d.parentComponent.depthqqq + 1] / widthPTreePx;\n",
       "                d.ySolver = d.parentComponent.y;\n",
       "                d.widthSolver = 1e-6;\n",
       "                d.heightSolver = 1e-6;\n",
       "            }\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    ComputeSolverNormalizedPositions(d.children[i], leafCounter, isChildOfZoomed, earliestMinimizedParent);\n",
       "                    if (earliestMinimizedParent == null) { //numleaves is only valid passed nonminimized nodes\n",
       "                        leafCounter += d.children[i].numSolverLeaves;\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        UpdateTextWidths(zoomedElement);\n",
       "\n",
       "        UpdateSolverTextWidths(zoomedElement);\n",
       "\n",
       "        ComputeLeaves(root);\n",
       "\n",
       "        ComputeSolverLeaves(root);\n",
       "\n",
       "        d3NodesArray = [];\n",
       "        d3RightTextNodesArrayZoomed = [];\n",
       "\n",
       "        d3SolverNodesArray = [];\n",
       "        d3SolverRightTextNodesArrayZoomed = [];\n",
       "\n",
       "        ComputeColumnWidths(zoomedElement);\n",
       "\n",
       "        function InitSubSystemChildren(d){\n",
       "            for (var i = 0; i < d.children.length; ++i) {\n",
       "                var child = d.children[i];\n",
       "                if (child.type === \"subsystem\"){\n",
       "                    if (!d.hasOwnProperty(\"subsystem_children\")) {\n",
       "                        d.subsystem_children = [];\n",
       "                    }\n",
       "                    d.subsystem_children.push(child);\n",
       "                    InitSubSystemChildren(child);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        InitSubSystemChildren(root);\n",
       "\n",
       "        ComputeSolverColumnWidths(zoomedElement);\n",
       "\n",
       "        // Now the column_width array is relative to the zoomedElement\n",
       "        //    and the computation of the widths only includes visible items after the zoom\n",
       "        widthPTreePx = 0;\n",
       "        for (var depth = 1; depth <= maxDepth; ++depth) {\n",
       "            columnLocationsPx[depth] = widthPTreePx;\n",
       "            widthPTreePx += columnWidthsPx[depth];\n",
       "        }\n",
       "\n",
       "        widthPSolverTreePx = 0;\n",
       "        for (var depth = 1; depth <= maxDepth; ++depth) {\n",
       "            columnSolverLocationsPx[depth] = widthPSolverTreePx;\n",
       "            widthPSolverTreePx += columnSolverWidthsPx[depth];\n",
       "        }\n",
       "\n",
       "        ComputeNormalizedPositions(root, 0, false, null);\n",
       "        if (zoomedElement.parent) {\n",
       "            d3NodesArray.push(zoomedElement.parent);\n",
       "        }\n",
       "\n",
       "        ComputeSolverNormalizedPositions(root, 0, false, null);\n",
       "        if (zoomedElement.parent) {\n",
       "            d3SolverNodesArray.push(zoomedElement.parent);\n",
       "        }\n",
       "\n",
       "        if (updateRecomputesAutoComplete) {\n",
       "            autoCompleteListNames = [];\n",
       "            autoCompleteListPathNames = [];\n",
       "            PopulateAutoCompleteList(zoomedElement);\n",
       "        }\n",
       "        updateRecomputesAutoComplete = true; //default\n",
       "\n",
       "        enterIndex = exitIndex = 0;\n",
       "        if (lastClickWasLeft) { //left click\n",
       "            if (leftClickIsForward) {\n",
       "                exitIndex = lastLeftClickedElement.rootIndex - zoomedElement0.rootIndex;\n",
       "            }\n",
       "            else {\n",
       "                enterIndex = zoomedElement0.rootIndex - lastLeftClickedElement.rootIndex;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        textWidthGroup.remove();\n",
       "    }\n",
       "\n",
       "    var lastLeftClickedEle;\n",
       "    var lastRightClickedEle;\n",
       "    var lastRightClickedObj;\n",
       "\n",
       "    //right click => collapse\n",
       "    function RightClick(d, ele) {\n",
       "        var e = d3.event;\n",
       "        lastLeftClickedEle = d;\n",
       "        lastRightClickedObj = d;\n",
       "        lastRightClickedEle = ele;\n",
       "        e.preventDefault();\n",
       "        collapse();\n",
       "    }\n",
       "\n",
       "    var menu = document.querySelector('#context-menu');\n",
       "    var menuState = 0;\n",
       "    var contextMenuActive = \"context-menu--active\";\n",
       "\n",
       "    function collapse() {\n",
       "        var d = lastLeftClickedEle;\n",
       "        if (!d.children) return;\n",
       "        if (d.depth > zoomedElement.depth) { //dont allow minimizing on root node\n",
       "            lastRightClickedElement = d;\n",
       "            FindRootOfChangeFunction = FindRootOfChangeForRightClick;\n",
       "            TRANSITION_DURATION = TRANSITION_DURATION_FAST;\n",
       "            lastClickWasLeft = false;\n",
       "            Toggle(d);\n",
       "            Update(d);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function SetupLeftClick(d) {\n",
       "        lastLeftClickedElement = d;\n",
       "        lastClickWasLeft = true;\n",
       "        if (lastLeftClickedElement.depth > zoomedElement.depth) {\n",
       "            leftClickIsForward = true; //forward\n",
       "        }\n",
       "        else if (lastLeftClickedElement.depth < zoomedElement.depth) {\n",
       "            leftClickIsForward = false; //backwards\n",
       "        }\n",
       "        zoomedElement0 = zoomedElement;\n",
       "        zoomedElement = d;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_FAST;\n",
       "    }\n",
       "\n",
       "    //left click => navigate\n",
       "    function LeftClick(d, ele) {\n",
       "        if (!d.children) return;\n",
       "        if (d3.event.button != 0) return;\n",
       "        backButtonHistory.push({ \"el\": zoomedElement });\n",
       "        forwardButtonHistory = [];\n",
       "        SetupLeftClick(d);\n",
       "        Update();\n",
       "        d3.event.preventDefault();\n",
       "        d3.event.stopPropagation();\n",
       "    }\n",
       "\n",
       "    function BackButtonPressed() {\n",
       "        if (backButtonHistory.length == 0) return;\n",
       "        var d = backButtonHistory.pop().el;\n",
       "        parentDiv.querySelector(\"#backButtonId\").disabled = (backButtonHistory.length == 0) ? \"disabled\" : false;\n",
       "        for (var obj = d; obj != null; obj = obj.parent) { //make sure history item is not minimized\n",
       "            if (obj.isMinimized) return;\n",
       "        }\n",
       "        forwardButtonHistory.push({ \"el\": zoomedElement });\n",
       "        SetupLeftClick(d);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function ForwardButtonPressed() {\n",
       "        if (forwardButtonHistory.length == 0) return;\n",
       "        var d = forwardButtonHistory.pop().el;\n",
       "        parentDiv.querySelector(\"#forwardButtonId\").disabled = (forwardButtonHistory.length == 0) ? \"disabled\" : false;\n",
       "        for (var obj = d; obj != null; obj = obj.parent) { //make sure history item is not minimized\n",
       "            if (obj.isMinimized) return;\n",
       "        }\n",
       "        backButtonHistory.push({ \"el\": zoomedElement });\n",
       "        SetupLeftClick(d);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function GetClass(d) {\n",
       "        if (d.isMinimized) return \"minimized\";\n",
       "        if (d.type === \"param\") {\n",
       "            if (d.children && d.children.length > 0) return \"param_group\";\n",
       "            return \"param\";\n",
       "        }\n",
       "        if (d.type === \"unconnected_param\") {\n",
       "            if (d.children && d.children.length > 0) return \"param_group\";\n",
       "            return \"unconnected_param\"\n",
       "        }\n",
       "        if (d.type === \"unknown\") {\n",
       "            if (d.children && d.children.length > 0) return \"unknown_group\";\n",
       "            if (d.implicit) return \"unknown_implicit\";\n",
       "            return \"unknown\";\n",
       "        }\n",
       "        if (d.type === \"root\") return \"subsystem\";\n",
       "        if (d.type === \"subsystem\") {\n",
       "            if (d.subsystem_type === \"component\") return \"component\";\n",
       "            return \"subsystem\";\n",
       "        }\n",
       "        alert(\"class not found\");\n",
       "    }\n",
       "\n",
       "    function Toggle(d) {\n",
       "\n",
       "        if (d.isMinimized)\n",
       "            d.isMinimized = false;\n",
       "        else\n",
       "            d.isMinimized = true;\n",
       "    }\n",
       "\n",
       "    function ComputeConnections() {\n",
       "        function GetObjectInTree(d, nameArray, nameIndex) {\n",
       "            if (nameArray.length == nameIndex) {\n",
       "                return d;\n",
       "            }\n",
       "            if (!d.children) {\n",
       "                return null;\n",
       "            }\n",
       "\n",
       "            for (var i = 0; i < d.children.length; ++i) {\n",
       "                if (d.children[i].name === nameArray[nameIndex]) {\n",
       "                    return GetObjectInTree(d.children[i], nameArray, nameIndex + 1);\n",
       "                }\n",
       "                else {\n",
       "                    var numNames = d.children[i].name.split(\":\").length;\n",
       "                    if (numNames >= 2 && nameIndex + numNames <= nameArray.length) {\n",
       "                        var mergedName = nameArray[nameIndex];\n",
       "                        for (var j = 1; j < numNames; ++j) {\n",
       "                            mergedName += \":\" + nameArray[nameIndex + j];\n",
       "                        }\n",
       "                        if (d.children[i].name === mergedName) {\n",
       "                            return GetObjectInTree(d.children[i], nameArray, nameIndex + numNames);\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "            return null;\n",
       "        }\n",
       "\n",
       "        function RemoveDuplicates(d) { //remove redundant elements in every objects' sources and targets arrays\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    RemoveDuplicates(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            function unique(elem, pos, arr) {\n",
       "                return arr.indexOf(elem) == pos;\n",
       "            }\n",
       "\n",
       "            if (d.targetsParamView) {\n",
       "                //numElementsBefore += d.targetsParamView.length;\n",
       "                var uniqueArray = d.targetsParamView.filter(unique);\n",
       "                d.targetsParamView = uniqueArray;\n",
       "                //numElementsAfter += d.targetsParamView.length;\n",
       "            }\n",
       "            if (d.targetsHideParams) {\n",
       "                //numElementsBefore += d.targetsHideParams.length;\n",
       "                var uniqueArray = d.targetsHideParams.filter(unique);\n",
       "                d.targetsHideParams = uniqueArray;\n",
       "                //numElementsAfter += d.targetsHideParams.length;\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function AddLeaves(d, objArray) {\n",
       "            if (d.type !== \"param\" && d.type !== \"unconnected_param\") {\n",
       "                objArray.push(d);\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    AddLeaves(d.children[i], objArray);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        function ClearConnections(d) {\n",
       "            d.targetsParamView = [];\n",
       "            d.targetsHideParams = [];\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    ClearConnections(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        ClearConnections(root);\n",
       "\n",
       "        for (var i = 0; i < conns.length; ++i) {\n",
       "            var srcSplitArray = conns[i].src.split(/\\.|:/);\n",
       "            var srcObj = GetObjectInTree(root, srcSplitArray, 0);\n",
       "            if (srcObj == null) {\n",
       "                alert(\"error: cannot find connection source \" + conns[i].src);\n",
       "                return;\n",
       "            }\n",
       "            var srcObjArray = [srcObj];\n",
       "            if (srcObj.type !== \"unknown\") { //source obj must be unknown\n",
       "                alert(\"error: there is a source that is not an unknown.\");\n",
       "                return;\n",
       "            }\n",
       "            if (srcObj.children) { //source obj must be unknown\n",
       "                alert(\"error: there is a source that has children.\");\n",
       "                return;\n",
       "            }\n",
       "            for (var obj = srcObj.parent; obj != null; obj = obj.parent) {\n",
       "                srcObjArray.push(obj);\n",
       "            }\n",
       "\n",
       "            var tgtSplitArray = conns[i].tgt.split(/\\.|:/);\n",
       "            var tgtObj = GetObjectInTree(root, tgtSplitArray, 0);\n",
       "            if (tgtObj == null) {\n",
       "                alert(\"error: cannot find connection target \" + conns[i].tgt);\n",
       "                return;\n",
       "            }\n",
       "            var tgtObjArrayParamView = [tgtObj];\n",
       "            var tgtObjArrayHideParams = [tgtObj];\n",
       "            if (tgtObj.type !== \"param\" && tgtObj.type !== \"unconnected_param\") { //target obj must be a param\n",
       "                alert(\"error: there is a target that is NOT a param.\");\n",
       "                return;\n",
       "            }\n",
       "            if (tgtObj.children) {\n",
       "                alert(\"error: there is a target that has children.\");\n",
       "                return;\n",
       "            }\n",
       "            AddLeaves(tgtObj.parentComponent, tgtObjArrayHideParams); //contaminate\n",
       "            for (var obj = tgtObj.parent; obj != null; obj = obj.parent) {\n",
       "                tgtObjArrayParamView.push(obj);\n",
       "                tgtObjArrayHideParams.push(obj);\n",
       "            }\n",
       "\n",
       "\n",
       "            for (var j = 0; j < srcObjArray.length; ++j) {\n",
       "                if (!srcObjArray[j].hasOwnProperty('targetsParamView')) srcObjArray[j].targetsParamView = [];\n",
       "                if (!srcObjArray[j].hasOwnProperty('targetsHideParams')) srcObjArray[j].targetsHideParams = [];\n",
       "                srcObjArray[j].targetsParamView = srcObjArray[j].targetsParamView.concat(tgtObjArrayParamView);\n",
       "                srcObjArray[j].targetsHideParams = srcObjArray[j].targetsHideParams.concat(tgtObjArrayHideParams);\n",
       "            }\n",
       "\n",
       "            var cycleArrowsArray = [];\n",
       "            if (conns[i].cycle_arrows && conns[i].cycle_arrows.length > 0) {\n",
       "                var cycleArrows = conns[i].cycle_arrows;\n",
       "                for (var j = 0; j < cycleArrows.length; ++j) {\n",
       "                    var cycleArrowsSplitArray = cycleArrows[j].split(\" \");\n",
       "                    if (cycleArrowsSplitArray.length != 2) {\n",
       "                        alert(\"error: cycleArrowsSplitArray length not 2: got \" + cycleArrowsSplitArray.length);\n",
       "                        return;\n",
       "                    }\n",
       "                    var splitArray = cycleArrowsSplitArray[0].split(/\\.|:/);\n",
       "                    var arrowBeginObj = GetObjectInTree(root, splitArray, 0);\n",
       "                    if (arrowBeginObj == null) {\n",
       "                        alert(\"error: cannot find cycle arrows begin object \" + cycleArrowsSplitArray[0]);\n",
       "                        return;\n",
       "                    }\n",
       "                    splitArray = cycleArrowsSplitArray[1].split(/\\.|:/);\n",
       "                    var arrowEndObj = GetObjectInTree(root, splitArray, 0);\n",
       "                    if (arrowEndObj == null) {\n",
       "                        alert(\"error: cannot find cycle arrows end object \" + cycleArrowsSplitArray[1]);\n",
       "                        return;\n",
       "                    }\n",
       "                    cycleArrowsArray.push({ \"begin\": arrowBeginObj, \"end\": arrowEndObj });\n",
       "                }\n",
       "            }\n",
       "            if (cycleArrowsArray.length > 0) {\n",
       "                if (!tgtObj.parent.hasOwnProperty(\"cycleArrows\")) {\n",
       "                    tgtObj.parent.cycleArrows = [];\n",
       "                }\n",
       "                tgtObj.parent.cycleArrows.push({ \"src\": srcObj, \"arrows\": cycleArrowsArray });\n",
       "            }\n",
       "\n",
       "        }\n",
       "        RemoveDuplicates(root);\n",
       "    }\n",
       "\n",
       "    function ComputeMatrixN2() {\n",
       "        matrix = {};\n",
       "        if (d3RightTextNodesArrayZoomed.length < LEVEL_OF_DETAIL_THRESHOLD) {\n",
       "            for (var si = 0; si < d3RightTextNodesArrayZoomed.length; ++si) {\n",
       "                var srcObj = d3RightTextNodesArrayZoomed[si];\n",
       "                matrix[si + \"_\" + si] = { \"r\": si, \"c\": si, \"obj\": srcObj, \"id\": srcObj.id + \"_\" + srcObj.id };\n",
       "                var targets = (showParams) ? srcObj.targetsParamView : srcObj.targetsHideParams;\n",
       "                for (var j = 0; j < targets.length; ++j) {\n",
       "                    var tgtObj = targets[j];\n",
       "                    var ti = d3RightTextNodesArrayZoomed.indexOf(tgtObj);\n",
       "                    if (ti != -1) {\n",
       "                        matrix[si + \"_\" + ti] = { \"r\": si, \"c\": ti, \"obj\": srcObj, \"id\": srcObj.id + \"_\" + tgtObj.id }; //matrix[si][ti].z = 1;\n",
       "                    }\n",
       "                }\n",
       "                if (showParams && (srcObj.type === \"param\" || srcObj.type === \"unconnected_param\")) {\n",
       "                    for (var j = si + 1; j < d3RightTextNodesArrayZoomed.length; ++j) {\n",
       "                        var tgtObj = d3RightTextNodesArrayZoomed[j];\n",
       "                        if (srcObj.parentComponent !== tgtObj.parentComponent) break;\n",
       "                        if (tgtObj.type === \"unknown\") {\n",
       "                            var ti = j;\n",
       "                            matrix[si + \"_\" + ti] = { \"r\": si, \"c\": ti, \"obj\": srcObj, \"id\": srcObj.id + \"_\" + tgtObj.id };\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        n2Dx0 = n2Dx;\n",
       "        n2Dy0 = n2Dy;\n",
       "\n",
       "        n2Dx = WIDTH_N2_PX / d3RightTextNodesArrayZoomed.length;\n",
       "        n2Dy = HEIGHT_PX / d3RightTextNodesArrayZoomed.length;\n",
       "\n",
       "        symbols_scalar = [];\n",
       "        symbols_vector = [];\n",
       "        symbols_group = [];\n",
       "        symbols_scalarScalar = [];\n",
       "        symbols_scalarVector = [];\n",
       "        symbols_vectorScalar = [];\n",
       "        symbols_vectorVector = [];\n",
       "        symbols_scalarGroup = [];\n",
       "        symbols_groupScalar = [];\n",
       "        symbols_vectorGroup = [];\n",
       "        symbols_groupVector = [];\n",
       "        symbols_groupGroup = [];\n",
       "\n",
       "        for (var key in matrix) {\n",
       "            var d = matrix[key];\n",
       "            var tgtObj = d3RightTextNodesArrayZoomed[d.c], srcObj = d3RightTextNodesArrayZoomed[d.r];\n",
       "            //alert(tgtObj.name + \" \" + srcObj.name);\n",
       "            if (d.c == d.r) { //on diagonal\n",
       "                if (srcObj.type === \"subsystem\") { //group\n",
       "                    symbols_group.push(d);\n",
       "                } else if (srcObj.type === \"unknown\" || (showParams && (srcObj.type === \"param\" || srcObj.type === \"unconnected_param\"))) {\n",
       "                    if (srcObj.dtype === \"ndarray\") { //vector\n",
       "                        symbols_vector.push(d);\n",
       "                    } else { //scalar\n",
       "                        symbols_scalar.push(d);\n",
       "                    }\n",
       "                }\n",
       "\n",
       "            }\n",
       "            else if (srcObj.type === \"subsystem\") {\n",
       "                if (tgtObj.type === \"subsystem\") { //groupGroup\n",
       "                    symbols_groupGroup.push(d);\n",
       "                }\n",
       "                else if (tgtObj.type === \"unknown\" || (showParams && (tgtObj.type === \"param\" || tgtObj.type === \"unconnected_param\"))) {\n",
       "                    if (tgtObj.dtype === \"ndarray\") {//groupVector\n",
       "                        symbols_groupVector.push(d);\n",
       "                    }\n",
       "                    else {//groupScalar\n",
       "                        symbols_groupScalar.push(d);\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "            else if (srcObj.type === \"unknown\" || (showParams && (srcObj.type === \"param\" || srcObj.type === \"unconnected_param\"))) {\n",
       "                if (srcObj.dtype === \"ndarray\") {\n",
       "                    if (tgtObj.type === \"unknown\" || (showParams && (tgtObj.type === \"param\" || tgtObj.type === \"unconnected_param\"))) {\n",
       "                        if (tgtObj.dtype === \"ndarray\" || (showParams && (tgtObj.type === \"param\" || tgtObj.type === \"unconnected_param\"))) {//vectorVector\n",
       "                            symbols_vectorVector.push(d);\n",
       "                        }\n",
       "                        else {//vectorScalar\n",
       "                            symbols_vectorScalar.push(d);\n",
       "                        }\n",
       "\n",
       "                    }\n",
       "                    else if (tgtObj.type === \"subsystem\") { //vectorGroup\n",
       "                        symbols_vectorGroup.push(d);\n",
       "                    }\n",
       "                }\n",
       "                else { //if (srcObj.dtype !== \"ndarray\"){\n",
       "                    if (tgtObj.type === \"unknown\" || (showParams && (tgtObj.type === \"param\" || tgtObj.type === \"unconnected_param\"))) {\n",
       "                        if (tgtObj.dtype === \"ndarray\") {//scalarVector\n",
       "                            symbols_scalarVector.push(d);\n",
       "                        }\n",
       "                        else {//scalarScalar\n",
       "                            symbols_scalarScalar.push(d);\n",
       "                        }\n",
       "\n",
       "                    }\n",
       "                    else if (tgtObj.type === \"subsystem\") { //scalarGroup\n",
       "                        symbols_scalarGroup.push(d);\n",
       "                    }\n",
       "                }\n",
       "\n",
       "            }\n",
       "        }\n",
       "\n",
       "        var currentBox = { \"startI\": 0, \"stopI\": 0 };\n",
       "        d3RightTextNodesArrayZoomedBoxInfo = [currentBox];\n",
       "        for (var ri = 1; ri < d3RightTextNodesArrayZoomed.length; ++ri) {\n",
       "            //boxes\n",
       "            var el = d3RightTextNodesArrayZoomed[ri];\n",
       "            var startINode = d3RightTextNodesArrayZoomed[currentBox.startI];\n",
       "            if (startINode.parentComponent && el.parentComponent && startINode.parentComponent === el.parentComponent) {\n",
       "                ++currentBox.stopI;\n",
       "            }\n",
       "            else {\n",
       "                currentBox = { \"startI\": ri, \"stopI\": ri };\n",
       "            }\n",
       "            d3RightTextNodesArrayZoomedBoxInfo.push(currentBox);\n",
       "        }\n",
       "\n",
       "        drawableN2ComponentBoxes = [];\n",
       "        for (var i = 0; i < d3RightTextNodesArrayZoomedBoxInfo.length; ++i) { //draw grid lines last so that they will always be visible\n",
       "            var box = d3RightTextNodesArrayZoomedBoxInfo[i];\n",
       "            if (box.startI == box.stopI) continue;\n",
       "            var el = d3RightTextNodesArrayZoomed[box.startI];\n",
       "            if (!el.parentComponent) alert(\"parent component not found in box\"); //continue;\n",
       "            box.obj = el.parentComponent;\n",
       "            i = box.stopI;\n",
       "            drawableN2ComponentBoxes.push(box);\n",
       "        }\n",
       "\n",
       "        //do this so you save old index for the exit()\n",
       "        gridLines = [];\n",
       "        if (d3RightTextNodesArrayZoomed.length < LEVEL_OF_DETAIL_THRESHOLD) {\n",
       "            for (var i = 0; i < d3RightTextNodesArrayZoomed.length; ++i) {\n",
       "                var obj = d3RightTextNodesArrayZoomed[i];\n",
       "                var gl = { \"i\": i, \"obj\": obj };\n",
       "                gridLines.push(gl);\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "\n",
       "    function FindRootOfChangeForShowParams(d) {\n",
       "        return (d.hasOwnProperty(\"parentComponent\")) ? d.parentComponent : d;\n",
       "    }\n",
       "\n",
       "    function FindRootOfChangeForRightClick(d) {\n",
       "        return lastRightClickedElement;\n",
       "    }\n",
       "\n",
       "    function FindRootOfChangeForCollapseDepth(d) {\n",
       "        for (var obj = d; obj != null; obj = obj.parent) { //make sure history item is not minimized\n",
       "            if (obj.depth == chosenCollapseDepth) return obj;\n",
       "        }\n",
       "        return d;\n",
       "    }\n",
       "\n",
       "    function FindRootOfChangeForCollapseUncollapseOutputs(d) {\n",
       "        return (d.hasOwnProperty(\"parentComponent\")) ? d.parentComponent : d;\n",
       "    }\n",
       "\n",
       "    function MouseoverOffDiagN2(d) {\n",
       "        function GetObjectsInChildrenWithCycleArrows(d, arr) {\n",
       "            if (d.cycleArrows) {\n",
       "                arr.push(d);\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    GetObjectsInChildrenWithCycleArrows(d.children[i], arr);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        function GetObjectsWithCycleArrows(d, arr) {\n",
       "            for (var obj = d.parent; obj != null; obj = obj.parent) { //start with parent.. the children will get the current object to avoid duplicates\n",
       "                if (obj.cycleArrows) {\n",
       "                    arr.push(obj);\n",
       "                }\n",
       "            }\n",
       "            GetObjectsInChildrenWithCycleArrows(d, arr);\n",
       "        }\n",
       "\n",
       "        function HasObjectInChildren(d, toMatchObj) {\n",
       "            if (d === toMatchObj) {\n",
       "                return true;\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    if (HasObjectInChildren(d.children[i], toMatchObj)) {\n",
       "                        return true;\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "            return false;\n",
       "        }\n",
       "        function HasObject(d, toMatchObj) {\n",
       "            for (var obj = d; obj != null; obj = obj.parent) {\n",
       "                if (obj === toMatchObj) {\n",
       "                    return true;\n",
       "                }\n",
       "            }\n",
       "            return HasObjectInChildren(d, toMatchObj);\n",
       "        }\n",
       "\n",
       "        var lineWidth = Math.min(5, n2Dx * .5, n2Dy * .5);\n",
       "        arrowMarker.attr(\"markerWidth\", lineWidth * .4)\n",
       "            .attr(\"markerHeight\", lineWidth * .4);\n",
       "        var src = d3RightTextNodesArrayZoomed[d.r];\n",
       "        var tgt = d3RightTextNodesArrayZoomed[d.c];\n",
       "        var boxEnd = d3RightTextNodesArrayZoomedBoxInfo[d.c];\n",
       "        if (d.r > d.c) { //bottom left\n",
       "            DrawPathTwoLines(\n",
       "                n2Dx * d.r, //x1\n",
       "                n2Dy * d.r + n2Dy * .5, //y1\n",
       "                n2Dx * d.c + n2Dx * .5, //left x2\n",
       "                n2Dy * d.r + n2Dy * .5, //left y2\n",
       "                n2Dx * d.c + n2Dx * .5, //up x3\n",
       "                (showParams) ? n2Dy * d.c + n2Dy - 1e-2 : n2Dy * (boxEnd.stopI) + n2Dy - 1e-2, //up y3\n",
       "                RED_ARROW_COLOR, lineWidth, true);\n",
       "\n",
       "            var targetsWithCycleArrows = [];\n",
       "            GetObjectsWithCycleArrows(tgt, targetsWithCycleArrows);\n",
       "            for (var ti = 0; ti < targetsWithCycleArrows.length; ++ti) {\n",
       "                var arrows = targetsWithCycleArrows[ti].cycleArrows;\n",
       "                for (var ai = 0; ai < arrows.length; ++ai) {\n",
       "                    if (HasObject(src, arrows[ai].src)) {\n",
       "                        var correspondingSrcArrows = arrows[ai].arrows;\n",
       "                        for (var si = 0; si < correspondingSrcArrows.length; ++si) {\n",
       "                            var beginObj = correspondingSrcArrows[si].begin;\n",
       "                            var endObj = correspondingSrcArrows[si].end;\n",
       "                            //alert(beginObj.name + \"->\" + endObj.name);\n",
       "                            var firstBeginIndex = -1, firstEndIndex = -1;\n",
       "\n",
       "                            //find first begin index\n",
       "                            for (var mi = 0; mi < d3RightTextNodesArrayZoomed.length; ++mi) {\n",
       "                                var rtNode = d3RightTextNodesArrayZoomed[mi];\n",
       "                                if (HasObject(rtNode, beginObj)) {\n",
       "                                    firstBeginIndex = mi;\n",
       "                                    break;\n",
       "                                }\n",
       "                            }\n",
       "                            if (firstBeginIndex == -1) {\n",
       "                                alert(\"error: first begin index not found\");\n",
       "                                return;\n",
       "                            }\n",
       "\n",
       "                            //find first end index\n",
       "                            for (var mi = 0; mi < d3RightTextNodesArrayZoomed.length; ++mi) {\n",
       "                                var rtNode = d3RightTextNodesArrayZoomed[mi];\n",
       "                                if (HasObject(rtNode, endObj)) {\n",
       "                                    firstEndIndex = mi;\n",
       "                                    break;\n",
       "                                }\n",
       "                            }\n",
       "                            if (firstEndIndex == -1) {\n",
       "                                alert(\"error: first end index not found\");\n",
       "                                return;\n",
       "                            }\n",
       "\n",
       "                            if (firstBeginIndex != firstEndIndex) {\n",
       "                                if (showParams) {\n",
       "                                    DrawArrowsParamView(firstBeginIndex, firstEndIndex);\n",
       "                                }\n",
       "                                else {\n",
       "                                    DrawArrows(firstBeginIndex, firstEndIndex);\n",
       "                                }\n",
       "                            }\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        else if (d.r < d.c) { //top right\n",
       "            DrawPathTwoLines(\n",
       "                n2Dx * d.r + n2Dx, //x1\n",
       "                n2Dy * d.r + n2Dy * .5, //y1\n",
       "                n2Dx * d.c + n2Dx * .5, //right x2\n",
       "                n2Dy * d.r + n2Dy * .5, //right y2\n",
       "                n2Dx * d.c + n2Dx * .5, //down x3\n",
       "                (showParams) ? n2Dy * d.c + 1e-2 : n2Dy * boxEnd.startI + 1e-2, //down y3\n",
       "                RED_ARROW_COLOR, lineWidth, true);\n",
       "        }\n",
       "        var leftTextWidthR = d3RightTextNodesArrayZoomed[d.r].nameWidthPx,\n",
       "            leftTextWidthC = d3RightTextNodesArrayZoomed[d.c].nameWidthPx;\n",
       "        DrawRect(-leftTextWidthR - PTREE_N2_GAP_PX, n2Dy * d.r, leftTextWidthR, n2Dy, RED_ARROW_COLOR); //highlight var name\n",
       "        DrawRect(-leftTextWidthC - PTREE_N2_GAP_PX, n2Dy * d.c, leftTextWidthC, n2Dy, GREEN_ARROW_COLOR); //highlight var name\n",
       "    }\n",
       "\n",
       "    function MouseoverOnDiagN2(d) {\n",
       "        //d=hovered element\n",
       "        var hoveredIndexRC = d.c; //d.x == d.y == row == col\n",
       "        var leftTextWidthHovered = d3RightTextNodesArrayZoomed[hoveredIndexRC].nameWidthPx;\n",
       "\n",
       "        // Loop over all elements in the matrix looking for other cells in the same column as\n",
       "        var lineWidth = Math.min(5, n2Dx * .5, n2Dy * .5);\n",
       "        arrowMarker.attr(\"markerWidth\", lineWidth * .4)\n",
       "            .attr(\"markerHeight\", lineWidth * .4);\n",
       "        DrawRect(-leftTextWidthHovered - PTREE_N2_GAP_PX, n2Dy * hoveredIndexRC, leftTextWidthHovered, n2Dy, HIGHLIGHT_HOVERED_COLOR); //highlight hovered\n",
       "        for (var i = 0; i < d3RightTextNodesArrayZoomed.length; ++i) {\n",
       "            var leftTextWidthDependency = d3RightTextNodesArrayZoomed[i].nameWidthPx;\n",
       "            var box = d3RightTextNodesArrayZoomedBoxInfo[i];\n",
       "            if (matrix[hoveredIndexRC + \"_\" + i] !== undefined) { //if (matrix[hoveredIndexRC][i].z > 0) { //i is column here\n",
       "                if (i < hoveredIndexRC) { //column less than hovered\n",
       "                    if (showParams) {\n",
       "                        DrawPathTwoLines(\n",
       "                            n2Dx * hoveredIndexRC, //x1\n",
       "                            n2Dy * (hoveredIndexRC + .5), //y1\n",
       "                            (i + .5) * n2Dx, //left x2\n",
       "                            n2Dy * (hoveredIndexRC + .5), //left y2\n",
       "                            (i + .5) * n2Dx, //up x3\n",
       "                            (i + 1) * n2Dy, //up y3\n",
       "                            GREEN_ARROW_COLOR, lineWidth, true);\n",
       "                    }\n",
       "                    else if (i == box.startI) {\n",
       "                        DrawPathTwoLines(\n",
       "                            n2Dx * hoveredIndexRC, //x1\n",
       "                            n2Dy * hoveredIndexRC + n2Dy * .5, //y1\n",
       "                            (box.startI + (box.stopI - box.startI) * .5) * n2Dx + n2Dx * .5, //left x2\n",
       "                            n2Dy * hoveredIndexRC + n2Dy * .5, //left y2\n",
       "                            (box.startI + (box.stopI - box.startI) * .5) * n2Dx + n2Dx * .5, //up x3\n",
       "                            n2Dy * box.stopI + n2Dy, //up y3\n",
       "                            GREEN_ARROW_COLOR, lineWidth, true);\n",
       "                    }\n",
       "                    DrawRect(-leftTextWidthDependency - PTREE_N2_GAP_PX, n2Dy * i, leftTextWidthDependency, n2Dy, GREEN_ARROW_COLOR); //highlight var name\n",
       "\n",
       "                } else if (i > hoveredIndexRC) { //column greater than hovered\n",
       "                    if (showParams) {\n",
       "                        DrawPathTwoLines(\n",
       "                            n2Dx * hoveredIndexRC + n2Dx, //x1\n",
       "                            n2Dy * (hoveredIndexRC + .5), //y1\n",
       "                            (i + .5) * n2Dx, //right x2\n",
       "                            n2Dy * (hoveredIndexRC + .5), //right y2\n",
       "                            (i + .5) * n2Dx, //down x3\n",
       "                            n2Dy * i, //down y3\n",
       "                            GREEN_ARROW_COLOR, lineWidth, true); //vertical down\n",
       "                    }\n",
       "                    else if (i == box.startI) {\n",
       "                        DrawPathTwoLines(\n",
       "                            n2Dx * hoveredIndexRC + n2Dx, //x1\n",
       "                            n2Dy * hoveredIndexRC + n2Dy * .5, //y1\n",
       "                            (box.startI + (box.stopI - box.startI) * .5) * n2Dx + n2Dx * .5, //right x2\n",
       "                            n2Dy * hoveredIndexRC + n2Dy * .5, //right y2\n",
       "                            (box.startI + (box.stopI - box.startI) * .5) * n2Dx + n2Dx * .5, //down x3\n",
       "                            n2Dy * box.startI, //down y3\n",
       "                            GREEN_ARROW_COLOR, lineWidth, true); //vertical down\n",
       "                    }\n",
       "                    DrawRect(-leftTextWidthDependency - PTREE_N2_GAP_PX, n2Dy * i, leftTextWidthDependency, n2Dy, GREEN_ARROW_COLOR); //highlight var name\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (matrix[i + \"_\" + hoveredIndexRC] !== undefined) { //if (matrix[i][hoveredIndexRC].z > 0) { //i is row here\n",
       "                if (i < hoveredIndexRC) { //row less than hovered\n",
       "                    DrawPathTwoLines(\n",
       "                        n2Dx * i + n2Dx, //x1\n",
       "                        n2Dy * i + n2Dy * .5, //y1\n",
       "                        n2Dx * hoveredIndexRC + n2Dx * .5, //right x2\n",
       "                        n2Dy * i + n2Dy * .5, //right y2\n",
       "                        n2Dx * hoveredIndexRC + n2Dx * .5, //down x3\n",
       "                        n2Dy * hoveredIndexRC, //down y3\n",
       "                        RED_ARROW_COLOR, lineWidth, true); //vertical down\n",
       "                    DrawRect(-leftTextWidthDependency - PTREE_N2_GAP_PX, n2Dy * i, leftTextWidthDependency, n2Dy, RED_ARROW_COLOR); //highlight var name\n",
       "                } else if (i > hoveredIndexRC) { //row greater than hovered\n",
       "                    DrawPathTwoLines(\n",
       "                        n2Dx * i, //x1\n",
       "                        n2Dy * i + n2Dy * .5, //y1\n",
       "                        n2Dx * hoveredIndexRC + n2Dx * .5, //left x2\n",
       "                        n2Dy * i + n2Dy * .5, //left y2\n",
       "                        n2Dx * hoveredIndexRC + n2Dx * .5, //up x3\n",
       "                        n2Dy * hoveredIndexRC + n2Dy, //up y3\n",
       "                        RED_ARROW_COLOR, lineWidth, true);\n",
       "                    DrawRect(-leftTextWidthDependency - PTREE_N2_GAP_PX, n2Dy * i, leftTextWidthDependency, n2Dy, RED_ARROW_COLOR); //highlight var name\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function MouseoutN2() {\n",
       "        n2Group.selectAll(\".n2_hover_elements\").remove();\n",
       "    }\n",
       "\n",
       "    function MouseClickN2(d) {\n",
       "        var newClassName = \"n2_hover_elements_\" + d.r + \"_\" + d.c;\n",
       "        var selection = n2Group.selectAll(\".\" + newClassName);\n",
       "        if (selection.size() > 0) {\n",
       "            selection.remove();\n",
       "        }\n",
       "        else {\n",
       "            n2Group.selectAll(\"path.n2_hover_elements, circle.n2_hover_elements\")\n",
       "                .attr(\"class\", newClassName);\n",
       "        }\n",
       "    }\n",
       "\n",
       "    function ReturnToRootButtonClick() {\n",
       "        backButtonHistory.push({ \"el\": zoomedElement });\n",
       "        forwardButtonHistory = [];\n",
       "        SetupLeftClick(root);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function UpOneLevelButtonClick() {\n",
       "        if (zoomedElement === root) return;\n",
       "        backButtonHistory.push({ \"el\": zoomedElement });\n",
       "        forwardButtonHistory = [];\n",
       "        SetupLeftClick(zoomedElement.parent);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function CollapseOutputsButtonClick(startNode) {\n",
       "        function CollapseOutputs(d) {\n",
       "            if (d.subsystem_type && d.subsystem_type === \"component\") {\n",
       "                d.isMinimized = true;\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    CollapseOutputs(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        FindRootOfChangeFunction = FindRootOfChangeForCollapseUncollapseOutputs;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_SLOW;\n",
       "        lastClickWasLeft = false;\n",
       "        CollapseOutputs(startNode);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function UncollapseButtonClick(startNode) {\n",
       "        function Uncollapse(d) {\n",
       "            if (d.type !== \"param\" && d.type !== \"unconnected_param\") {\n",
       "                d.isMinimized = false;\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    Uncollapse(d.children[i]);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "        FindRootOfChangeFunction = FindRootOfChangeForCollapseUncollapseOutputs;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_SLOW;\n",
       "        lastClickWasLeft = false;\n",
       "        Uncollapse(startNode);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function CollapseToDepthSelectChange(newChosenCollapseDepth) {\n",
       "        function CollapseToDepth(d, depth) {\n",
       "            if (d.type === \"param\" || d.type === \"unknown\" || d.type === \"unconnected_param\") {\n",
       "                return;\n",
       "            }\n",
       "            if (d.depth < depth) {\n",
       "                d.isMinimized = false;\n",
       "            }\n",
       "            else {\n",
       "                d.isMinimized = true;\n",
       "            }\n",
       "            if (d.children) {\n",
       "                for (var i = 0; i < d.children.length; ++i) {\n",
       "                    CollapseToDepth(d.children[i], depth);\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "\n",
       "        chosenCollapseDepth = newChosenCollapseDepth;\n",
       "        if (chosenCollapseDepth > zoomedElement.depth) {\n",
       "            CollapseToDepth(root, chosenCollapseDepth);\n",
       "        }\n",
       "        FindRootOfChangeFunction = FindRootOfChangeForCollapseDepth;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_SLOW;\n",
       "        lastClickWasLeft = false;\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function FontSizeSelectChange(fontSize) {\n",
       "        for (var i = 8; i <= 14; ++i) {\n",
       "            var newText = (i == fontSize) ? (\"<b>\" + i + \"px</b>\") : (i + \"px\");\n",
       "            parentDiv.querySelector(\"#idFontSize\" + i + \"px\").innerHTML = newText;\n",
       "        }\n",
       "        FONT_SIZE_PX = fontSize;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_FAST;\n",
       "        UpdateSvgCss(svgStyleElement, FONT_SIZE_PX);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function VerticalResize(height) {\n",
       "        for (var i = 600; i <= 1000; i += 50) {\n",
       "            var newText = (i == height) ? (\"<b>\" + i + \"px</b>\") : (i + \"px\");\n",
       "            parentDiv.querySelector(\"#idVerticalResize\" + i + \"px\").innerHTML = newText;\n",
       "        }\n",
       "        for (var i = 2000; i <= 4000; i += 1000) {\n",
       "            var newText = (i == height) ? (\"<b>\" + i + \"px</b>\") : (i + \"px\");\n",
       "            parentDiv.querySelector(\"#idVerticalResize\" + i + \"px\").innerHTML = newText;\n",
       "        }\n",
       "        ClearArrowsAndConnects();\n",
       "        HEIGHT_PX = height;\n",
       "        LEVEL_OF_DETAIL_THRESHOLD = HEIGHT_PX / 3;\n",
       "        WIDTH_N2_PX = HEIGHT_PX;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_FAST;\n",
       "        UpdateSvgCss(svgStyleElement, FONT_SIZE_PX);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function ShowParamsCheckboxChange() {\n",
       "        if (zoomedElement.type === \"param\" || zoomedElement.type === \"unconnected_param\") return;\n",
       "        showParams = !showParams;\n",
       "        parentDiv.querySelector(\"#showParamsButtonId\").className = !showParams ? \"myButton myButtonToggledOn\" : \"myButton\";\n",
       "\n",
       "        FindRootOfChangeFunction = FindRootOfChangeForShowParams;\n",
       "        lastClickWasLeft = false;\n",
       "        TRANSITION_DURATION = TRANSITION_DURATION_SLOW;\n",
       "        transitionStartDelay = 500;\n",
       "        SetupLegend(d3, d3ContentDiv);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function ToggleSolverNamesCheckboxChange() {\n",
       "        showLinearSolverNames = !showLinearSolverNames;\n",
       "        parentDiv.querySelector(\"#toggleSolverNamesButtonId\").className = !showLinearSolverNames ? \"myButton myButtonToggledOn\" : \"myButton\";\n",
       "        SetupLegend(d3, d3ContentDiv);\n",
       "        Update();\n",
       "    }\n",
       "\n",
       "    function ShowPathCheckboxChange() {\n",
       "        showPath = !showPath;\n",
       "        parentDiv.querySelector(\"#currentPathId\").style.display = showPath ? \"block\" : \"none\";\n",
       "        parentDiv.querySelector(\"#showCurrentPathButtonId\").className = showPath ? \"myButton myButtonToggledOn\" : \"myButton\";\n",
       "    }\n",
       "\n",
       "    function ToggleLegend() {\n",
       "        showLegend = !showLegend;\n",
       "        parentDiv.querySelector(\"#showLegendButtonId\").className = showLegend ? \"myButton myButtonToggledOn\" : \"myButton\";\n",
       "        SetupLegend(d3, d3ContentDiv);\n",
       "    }\n",
       "\n",
       "    function CreateDomLayout() {\n",
       "        document.getElementById(\"searchButtonId\").onclick = SearchButtonClicked;\n",
       "    }\n",
       "\n",
       "    function CreateToolbar() {\n",
       "        var div = document.getElementById(\"toolbarDiv\")\n",
       "        div.querySelector(\"#returnToRootButtonId\").onclick = ReturnToRootButtonClick;\n",
       "        div.querySelector(\"#backButtonId\").onclick = BackButtonPressed;\n",
       "        div.querySelector(\"#forwardButtonId\").onclick = ForwardButtonPressed;\n",
       "        div.querySelector(\"#upOneLevelButtonId\").onclick = UpOneLevelButtonClick;\n",
       "        div.querySelector(\"#uncollapseInViewButtonId\").onclick = function () { UncollapseButtonClick(zoomedElement); };\n",
       "        div.querySelector(\"#uncollapseAllButtonId\").onclick = function () { UncollapseButtonClick(root); };\n",
       "        div.querySelector(\"#collapseInViewButtonId\").onclick = function () { CollapseOutputsButtonClick(zoomedElement); };\n",
       "        div.querySelector(\"#collapseAllButtonId\").onclick = function () { CollapseOutputsButtonClick(root); };\n",
       "        div.querySelector(\"#clearArrowsAndConnectsButtonId\").onclick = ClearArrowsAndConnects;\n",
       "        div.querySelector(\"#showCurrentPathButtonId\").onclick = ShowPathCheckboxChange;\n",
       "        div.querySelector(\"#showLegendButtonId\").onclick = ToggleLegend;\n",
       "        div.querySelector(\"#showParamsButtonId\").onclick = ShowParamsCheckboxChange;\n",
       "\n",
       "        div.querySelector(\"#toggleSolverNamesButtonId\").onclick = ToggleSolverNamesCheckboxChange;\n",
       "\n",
       "        for (var i = 8; i <= 14; ++i) {\n",
       "            var f = function (idx) {\n",
       "                return function () { FontSizeSelectChange(idx); };\n",
       "            }(i);\n",
       "            div.querySelector(\"#idFontSize\" + i + \"px\").onclick = f;\n",
       "        }\n",
       "\n",
       "        for (var i = 600; i <= 1000; i += 50) {\n",
       "            var f = function (idx) {\n",
       "                return function () { VerticalResize(idx); };\n",
       "            }(i);\n",
       "            div.querySelector(\"#idVerticalResize\" + i + \"px\").onclick = f;\n",
       "        }\n",
       "        for (var i = 2000; i <= 4000; i += 1000) {\n",
       "            var f = function(idx) {\n",
       "                return function () { VerticalResize(idx); };\n",
       "            }(i);\n",
       "            div.querySelector(\"#idVerticalResize\" + i + \"px\").onclick = f;\n",
       "        }\n",
       "\n",
       "        div.querySelector(\"#saveSvgButtonId\").onclick = function () { SaveSvg(parentDiv) };\n",
       "        div.querySelector(\"#helpButtonId\").onclick = DisplayModal;\n",
       "    }\n",
       "\n",
       "    return {\n",
       "        GetFontSize: function () { return FONT_SIZE_PX; },\n",
       "        ResizeHeight: function (h) { VerticalResize(h); },\n",
       "        Redraw: function () { Update(); }\n",
       "    };\n",
       "}\n",
       "\n",
       "var zoomedElement = modelData['tree'];\n",
       "var updateFunc;\n",
       "var mouseOverOffDiagN2;\n",
       "var mouseOverOnDiagN2;\n",
       "var mouseOutN2;\n",
       "var mouseClickN2;\n",
       "var hasInputConn;\n",
       "var treeData, connectionList;\n",
       "modelData.tree.name = 'model'; //Change 'root' to 'model'\n",
       "function ChangeBlankSolverToNone(d) {\n",
       "    if (d.linear_solver === \"\") d.linear_solver = \"None\";\n",
       "    if (d.nonlinear_solver === \"\") d.nonlinear_solver = \"None\";\n",
       "    if (d.children) {\n",
       "        for (var i = 0; i < d.children.length; ++i) {\n",
       "            ChangeBlankSolverToNone(d.children[i]);\n",
       "        }\n",
       "    }\n",
       "}\n",
       "ChangeBlankSolverToNone(modelData.tree);\n",
       "\n",
       "var app = PtN2Diagram(document.getElementById(\"ptN2ContentDivId\"), modelData);\n",
       "\n",
       "\n",
       "</script>\n",
       "\n",
       "</body>\n",
       "\n",
       "</html>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "view_model(P_obj)\n",
    "HTML(filename=\"./n2.html\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fixed Point Iteration (FPI)\n",
    "\n",
    "Enable the solving of interdisciplinary couplings between the 'trajectory' and the 'sizing and structure (struct_1)' disciplines. The feedback coupling \"Pdyn_max_dim\" is an input of the 'sizing and structure' discipline and \"max_pdyn_load_ascent_stage_1\" is an output of the trajectory discipline and these variables have to be equal to satisfy the interdisciplinary couplings. \n",
    "\n",
    "The variable \"Pdyn_max_dim\" is initialized to run the propulsion, the aerodynamics, the structure and then the trajectory disciplines and the output of the trajectory \"max_pdyn_load_ascent_stage_1\" is compared to the input of the structure \"Pdyn_max_dim\". If the difference is too large, the input of the structure \"Pdyn_max_dim\" is updated with the corresponding output of the trajectory discipline and a new evaluation of the disciplines is carried out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def FPI(tuple_input):\n",
    "#    x = tuple_input[0]\n",
    "#    lowerbnd_exp = tuple_input[1]\n",
    "#    upperbnd_exp = tuple_input[2]\n",
    "    Pb = tuple_input\n",
    "#    \n",
    "    Pb.setup(check = False)\n",
    "#    XX = lowerbnd_exp + (upperbnd_exp - lowerbnd_exp)*x\n",
    "    Pb['Diameter_stage_1'] = 5.0\n",
    "    Pb['Diameter_stage_2'] = 5.0\n",
    "    Pb['Mass_flow_rate_stage_1'] = 250.\n",
    "    Pb['Mass_flow_rate_stage_2'] = 250.\n",
    "    Pb['Thrust_stage_1'] = 1000.\n",
    "    Pb['Thrust_stage_2'] = 800.\n",
    "    Pb['OF_stage_1'] = 5.0\n",
    "    Pb['OF_stage_2'] = 5.0\n",
    "    Pb['Pc_stage_1'] = 100.0\n",
    "    Pb['Pc_stage_2'] = 100.0\n",
    "    Pb['Pe_stage_1'] = 1.0\n",
    "    Pb['Pe_stage_2'] = 1.0\n",
    "    Pb['N_eng_stage_1'] = 7.\n",
    "    Pb['N_eng_stage_2'] = 1.\n",
    "    Pb['Prop_mass_stage_1'] = 320000.\n",
    "    Pb['Prop_mass_stage_2'] = 75000.\n",
    "    Pb['thetacmd_i'] = 2.72\n",
    "    Pb['thetacmd_f'] = 10.\n",
    "    Pb['ksi'] = 0.293\n",
    "    Pb['Pitch_over_duration'] = 5.\n",
    "    Pb['Exit_nozzle_area_stage_1'] = 0.5\n",
    "    Pb['Exit_nozzle_area_stage_2'] = 0.5\n",
    "    Pb['Delta_vertical_phase'] = 10.\n",
    "    Pb['Delta_theta_pitch_over'] = 1.        \n",
    "    Pb['command_stage_1_exo'] = np.array([30.,-20.])\n",
    "\n",
    "    error = 100.\n",
    "    Pb['Pdyn_max_dim'] = 40.\n",
    "    k=0\n",
    "    while error>1. and k<20:\n",
    "        Pb.run_model()\n",
    "        error = abs(Pb['Pdyn_max_dim']-Pb['max_pdyn_load_ascent_stage_1']/1e3)\n",
    "        Pb['Pdyn_max_dim'] = Pb['max_pdyn_load_ascent_stage_1']/1e3\n",
    "        k = k+1\n",
    "        print('Fixed Point Iteration: ',k ,', error: ', np.round(error[0],2), ', Input pdyn max (kPa): ', np.round(Pb['Pdyn_max_dim'][0],2))\n",
    "    return Pb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fixed Point Iteration:  1 , error:  1.8 , Input pdyn max (kPa):  41.8\n",
      "Fixed Point Iteration:  2 , error:  0.01 , Input pdyn max (kPa):  41.79\n"
     ]
    }
   ],
   "source": [
    "P_out = FPI(P_obj)\n",
    "GLOW, contraintes = post_traitement.post_traitement(P_out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot outputs of trajectory simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_vizualization.plots_output(P_out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Output data from simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GLOW (t)</th>\n",
       "      <th>Dry_mass_stage_1  (t)</th>\n",
       "      <th>Dry_mass_stage_2  (t)</th>\n",
       "      <th>Prop_mass_stage_1 (t)</th>\n",
       "      <th>Prop_mass_stage_2 (t)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>443.05</td>\n",
       "      <td>36.077</td>\n",
       "      <td>4.973</td>\n",
       "      <td>320.0</td>\n",
       "      <td>75.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   GLOW (t)  Dry_mass_stage_1  (t)  Dry_mass_stage_2  (t)  \\\n",
       "0    443.05                 36.077                  4.973   \n",
       "\n",
       "   Prop_mass_stage_1 (t)  Prop_mass_stage_2 (t)  \n",
       "0                  320.0                   75.0  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = [[P_out['GLOW'][0]/1e3,\n",
    "         P_out['Dry_mass_stage_1'][0]/1e3,\n",
    "         P_out['Dry_mass_stage_2'][0]/1e3,\n",
    "        P_out['Prop_mass_stage_1'][0]/1e3,\n",
    "        P_out['Prop_mass_stage_2'][0]/1e3]]\n",
    "df = pd.DataFrame(data, columns=[\"GLOW (t)\", \"Dry_mass_stage_1  (t)\", \n",
    "                                     \"Dry_mass_stage_2  (t)\", \"Prop_mass_stage_1 (t)\", \n",
    "                                     \"Prop_mass_stage_2 (t)\"])\n",
    "df.round(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font color='blue'> Optimization problem:</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{eqnarray}\n",
    "\\text{min} & & \\text{GLOW}(\\mathbf{z}) \\\\\n",
    "\\text{w.r.t} & & \\mathbf{z}=[\\text{M}_{prop1},\\text{M}_{prop2},\\theta_i, \\theta_f, \\xi, \\Delta_t, \\Delta_\\theta, t_{vertical}, \\theta_{cmd} ] \\\\\n",
    "\\text{s.t.} & & \\alpha_{ascent}(\\mathbf{z}) \\leq 15 \\\\\n",
    " & & NX_{ascent}(\\mathbf{z}) \\leq 4.5 \\\\\n",
    " & & Pdyn_{ascent}(\\mathbf{z}) \\leq 40. \\\\\n",
    " & & HeatFlux_{ascent}(\\mathbf{z}) \\leq 100. \\\\\n",
    " & & \\text{Apogee}(\\mathbf{z}) = 700. \\\\\n",
    " & & \\text{Perigee}_{CoastPhase}(\\mathbf{z}) \\geq 140. \\\\\n",
    " & & M_{Circularization}(\\mathbf{z}) \\geq 0. \\\\\n",
    " &&\\mathbf{z}_\\text{min} \\leq \\mathbf{z} \\leq \\mathbf{z}_\\text{max}\n",
    "\\end{eqnarray}\n",
    "\n",
    "with:\n",
    "- GLOW: Gross-Lift-Off Weight\n",
    "- $\\mathbf{z} \\in \\mathbb{R}^{10}$, in practice the input variables are normalized into $[0. ,1.]^{10}$\n",
    "- $\\text{M}_{prop1}$: Prop_mass_stage_1\n",
    "- $\\text{M}_{prop2}$: Prop_mass_stage_2\n",
    "- $\\theta_i$: thetacmd_i, pitch angle begining of bilinear phase \n",
    "- $\\theta_f$: thetacmd_f, pitch angle end of bilinear phase \n",
    "- $\\xi$: ksi, shape parameter of bilinear phase \n",
    "- $\\Delta_t$: Pitch_over_duration\n",
    "- $\\Delta_\\theta$: Delta_theta_pitch_over\n",
    "- $t_{vertical}$: Delta_vertical_phase\n",
    "- $\\theta_{cmd}$: command_stage_1_exo (vector of dimension 2)\n",
    "\n",
    "The constraints are defined in the specification.py file:\n",
    "- $\\alpha_{ascent}$: angle of attack during the ascent phase that must be below 15 degrees\n",
    "- $NX_{ascent}$: axial load factor during the ascent phase that must be below 4.5g\n",
    "- $Pdyn_{ascent}$: dynamic pressure during the ascent phase that must be below 40kPa\n",
    "- $HeatFlux_{ascent}$: heat flux during the ascent phase that must be below 100 $W/m^2$\n",
    "- $\\text{Apogee}$: Apogee altitude of the coast phase transition orbit must be equal to 700km\n",
    "- $\\text{Perigee}_{CoastPhase}$: Perigee altitude of the coast phase transition orbit must be above 140km\n",
    "- $M_{Circularization}$: remaining propellant mass before the circularization burn must be sufficient to circularize the final orbit 700 x 700km "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### FPI for optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def FPI_optim(x,lowerbnd_exp,upperbnd_exp,Pb):\n",
    "\n",
    "    Pb.setup(check = False)\n",
    "    XX = lowerbnd_exp + (upperbnd_exp - lowerbnd_exp)*x\n",
    "    Pb['Diameter_stage_1'] = 5.0\n",
    "    Pb['Diameter_stage_2'] = 5.0\n",
    "    Pb['Mass_flow_rate_stage_1'] = 310.\n",
    "    Pb['Mass_flow_rate_stage_2'] = 50.\n",
    "    Pb['Thrust_stage_1'] = 1100.\n",
    "    Pb['Thrust_stage_2'] = 400.\n",
    "    Pb['OF_stage_1'] = 5.0\n",
    "    Pb['OF_stage_2'] = 5.8\n",
    "    Pb['Pc_stage_1'] = 100.0\n",
    "    Pb['Pc_stage_2'] = 61.\n",
    "    Pb['Pe_stage_1'] = 1.0\n",
    "    Pb['Pe_stage_2'] = 1.0\n",
    "    Pb['N_eng_stage_1'] = 7.\n",
    "    Pb['N_eng_stage_2'] = 1.\n",
    "    Pb['Prop_mass_stage_1'] = XX[0]*1e3\n",
    "    Pb['Prop_mass_stage_2'] = XX[1]*1e3\n",
    "    Pb['thetacmd_i'] = XX[2]\n",
    "    Pb['thetacmd_f'] = XX[3] \n",
    "    Pb['ksi'] = XX[4]\n",
    "    Pb['Pitch_over_duration'] = XX[5]\n",
    "    Pb['Exit_nozzle_area_stage_1'] = 0.5\n",
    "    Pb['Exit_nozzle_area_stage_2'] = 0.5\n",
    "    Pb['Delta_vertical_phase'] = XX[6]\n",
    "    Pb['Delta_theta_pitch_over'] = XX[7]        \n",
    "    Pb['command_stage_1_exo'] = XX[8:10] \n",
    "\n",
    "    error = 100.\n",
    "    Pb['Pdyn_max_dim'] = 40.\n",
    "    k=0\n",
    "    while error>1. and k<20:\n",
    "        Pb.run_model()\n",
    "        error = abs(Pb['Pdyn_max_dim']-Pb['max_pdyn_load_ascent_stage_1']/1e3)\n",
    "        Pb['Pdyn_max_dim'] = Pb['max_pdyn_load_ascent_stage_1']/1e3\n",
    "        k = k+1\n",
    "    return Pb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition of objective function\n",
    "Definition the objective function for evolutionary algorithm Covariance Matrix Adaptation (CMA-ES) more details on CMA-ES [here](http://cma.gforge.inria.fr/) and [here](https://en.wikipedia.org/wiki/CMA-ES). Penalization strategy is used to handle the different constraints in this example.\n",
    "If the constraints are not satisfied, the \"penalized objective function\" corresponds to the minimization of the constraint violation, and if the constraints are satisfied, $-(1e6 - GLOW)/1e5$ is minimized: \n",
    "when the constraints are not satisfied, the objective function takes as value the sum of non satisfied constraints."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Objective_function(x,lowerbnd_exp,upperbnd_exp,Pb,simu):\n",
    "    P_out = FPI_optim(x,lowerbnd_exp,upperbnd_exp,Pb)\n",
    "    GLOW, contraintes = post_traitement.post_traitement(P_out)\n",
    "    if simu==0: \n",
    "        if len(np.where(contraintes>1e-2)[0])==0:            \n",
    "            return -(1e6 - GLOW)/1e5\n",
    "        else:\n",
    "\n",
    "            cont = np.sum(contraintes[np.where(contraintes>0)[0]])\n",
    "            return cont\n",
    "    else :\n",
    "        if len(np.where(contraintes>1e-2)[0])==0:\n",
    "            return GLOW/1e5,-5 \n",
    "        else:\n",
    "            return GLOW/1e5,contraintes    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition of lower and upper bounds for the normalization during optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "lowerbnd_exp = np.array([440.,#Prop_mass_stage_1\n",
    "                         70., #Prop_mass_stage_2\n",
    "                         10.,#theta_cmd_i\n",
    "                         -30.,#theta_cmd_f\n",
    "                         -1.,#ksi\n",
    "                         5., #Pitch_over_duration\n",
    "                         1., #Delta_vertical_phase\n",
    "                         1., #Delta_theta_pitch_over\n",
    "                         10.,25.]) #command_stage_1_exo\n",
    "\n",
    "upperbnd_exp = np.array([480.,#Prop_mass_stage_1\n",
    "                         90., #Prop_mass_stage_2\n",
    "                         40.,#theta_cmd_i\n",
    "                         5.,#theta_cmd_f\n",
    "                         1.,#ksi\n",
    "                         25., #Pitch_over_duration\n",
    "                         5., #Delta_vertical_phase\n",
    "                         7., #Delta_theta_pitch_over\n",
    "                         30.,85.]) #command_stage_1_exo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition of CMA-ES options and bounds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "lower = np.zeros([1,len(lowerbnd_exp)])\n",
    "upper = np.ones([1,len(upperbnd_exp)])  \n",
    "options = cma.CMAOptions()\n",
    "bound_cma = np.array([lower[0],upper[0]])\n",
    "options = {'ftarget':-9e7,'tolfun':1e-5,'tolx':1e-6,'seed':2,\n",
    "           'bounds':[bound_cma[0],bound_cma[1]],'popsize':12,'maxiter':50,'verb_disp': 1}\n",
    "simu = 0\n",
    "init = np.ones(len(lowerbnd_exp))*0.5\n",
    "critere_cma = lambda x: Objective_function(x,lowerbnd_exp,upperbnd_exp,P_obj,simu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Parameters of CMA are regrouped into a dictionnary \"options\", of which the keys are the following: \n",
    "- ftarget: stopping value of objective function,\n",
    "- tolfun: tolerance value on objective functon,\n",
    "- tolx: tolerance value on design variable variations,\n",
    "- seed: seed of random generator of CMA-ES\n",
    "- bounds: (normalized) bounds on the design variables,\n",
    "- popsize: population size of CMA\n",
    "- maxiter: maximum number of iterations,\n",
    "- verdisp: display option"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Running of CMA-ES\n",
    "Parameter $\\sigma$ is set at 0.2 in the following example, see CMA documentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6_w,12)-aCMA-ES (mu_w=3.7,w_1=40%) in dimension 10 (seed=2, Wed May 22 11:06:37 2019)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1     12 2.270932047016281e+00 1.0e+00 1.97e-01  2e-01  2e-01 0:04.9\n",
      "    2     24 3.728142600014639e-01 1.3e+00 1.99e-01  2e-01  2e-01 0:09.4\n",
      "    3     36 5.605787537279156e+00 1.3e+00 2.15e-01  2e-01  2e-01 0:13.6\n",
      "    4     48 3.006214777692506e+00 1.5e+00 2.22e-01  2e-01  2e-01 0:19.1\n",
      "    5     60 -3.886888460782594e+00 1.5e+00 2.53e-01  2e-01  3e-01 0:23.5\n",
      "    6     72 1.547124378713171e+00 1.7e+00 2.61e-01  2e-01  3e-01 0:29.6\n",
      "    7     84 -3.859196412557887e+00 1.9e+00 2.58e-01  2e-01  3e-01 0:34.2\n",
      "    8     96 1.250374779732777e-01 2.0e+00 2.40e-01  2e-01  3e-01 0:38.5\n",
      "    9    108 -3.880994332772649e+00 2.0e+00 2.11e-01  2e-01  2e-01 0:44.6\n",
      "   10    120 -3.945227807958347e+00 2.0e+00 1.85e-01  2e-01  2e-01 0:49.4\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "   11    132 6.511232118488106e-01 2.0e+00 1.90e-01  2e-01  2e-01 0:59.3\n",
      "   12    144 -3.957239180565636e+00 2.0e+00 1.78e-01  2e-01  2e-01 1:03.6\n",
      "   13    156 2.212314828828283e-01 2.0e+00 1.79e-01  2e-01  2e-01 1:08.2\n",
      "   14    168 -3.916302430042075e+00 2.1e+00 1.76e-01  1e-01  2e-01 1:13.6\n",
      "   15    180 1.334770453756448e+00 2.2e+00 1.67e-01  1e-01  2e-01 1:19.3\n",
      "   16    192 1.150868630387961e+00 2.2e+00 1.52e-01  1e-01  2e-01 1:23.6\n",
      "   17    204 -3.859079702436254e+00 2.2e+00 1.43e-01  1e-01  2e-01 1:28.6\n",
      "   18    216 5.878767719093414e-01 2.2e+00 1.42e-01  1e-01  2e-01 1:34.4\n",
      "   19    228 1.410249972570501e-01 2.2e+00 1.39e-01  1e-01  2e-01 1:41.6\n",
      "   20    240 7.195344406087401e-01 2.2e+00 1.41e-01  1e-01  2e-01 1:47.8\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "   21    252 -3.854142539898758e+00 2.3e+00 1.24e-01  9e-02  1e-01 1:52.7\n",
      "   22    264 -3.870046627386027e+00 2.3e+00 1.27e-01  9e-02  1e-01 1:57.5\n",
      "   23    276 8.581779618940786e-01 2.3e+00 1.33e-01  1e-01  1e-01 2:01.9\n",
      "   24    288 7.571606335304770e-01 2.3e+00 1.32e-01  9e-02  1e-01 2:08.5\n",
      "   25    300 -3.852548889162127e+00 2.3e+00 1.35e-01  1e-01  1e-01 2:14.8\n",
      "   26    312 4.514661168286234e-01 2.4e+00 1.28e-01  9e-02  1e-01 2:18.9\n",
      "   27    324 -3.884869929103786e+00 2.5e+00 1.19e-01  8e-02  1e-01 2:23.2\n",
      "   28    336 -3.854233562215422e+00 2.5e+00 1.18e-01  8e-02  1e-01 2:26.9\n",
      "   29    348 -3.856119697452942e+00 2.6e+00 1.24e-01  8e-02  1e-01 2:31.4\n",
      "   30    360 -3.868421276016054e+00 2.8e+00 1.28e-01  8e-02  2e-01 2:35.7\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "   31    372 -3.874521159141525e+00 2.9e+00 1.25e-01  8e-02  1e-01 2:39.9\n",
      "   32    384 -3.870325303614896e+00 2.9e+00 1.16e-01  7e-02  1e-01 2:44.7\n",
      "   33    396 1.386635224897148e-01 3.0e+00 1.31e-01  7e-02  2e-01 2:48.8\n",
      "   34    408 -3.831339122773410e+00 3.1e+00 1.34e-01  7e-02  2e-01 2:53.2\n",
      "   35    420 -3.862608320568894e+00 3.3e+00 1.33e-01  7e-02  2e-01 2:56.8\n",
      "   36    432 -3.829722585924026e+00 3.5e+00 1.25e-01  6e-02  1e-01 3:03.7\n",
      "   37    444 -3.867596359765427e+00 3.5e+00 1.17e-01  6e-02  1e-01 3:08.5\n",
      "   38    456 -3.838337888425385e+00 3.4e+00 1.07e-01  5e-02  1e-01 3:13.4\n",
      "   39    468 -3.861982132338871e+00 3.4e+00 1.08e-01  5e-02  1e-01 3:20.0\n",
      "   40    480 -3.863851127256891e+00 3.4e+00 1.06e-01  5e-02  1e-01 3:24.8\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "   41    492 -3.873368593858431e+00 3.4e+00 1.08e-01  5e-02  1e-01 3:29.0\n",
      "   42    504 -3.903177631579606e+00 3.5e+00 1.09e-01  5e-02  1e-01 3:32.6\n",
      "   43    516 -3.925934067674999e+00 3.8e+00 1.08e-01  5e-02  1e-01 3:37.3\n",
      "   44    528 -3.905562619964625e+00 3.7e+00 1.10e-01  5e-02  1e-01 3:41.2\n",
      "   45    540 -3.957292358890043e+00 3.7e+00 1.09e-01  5e-02  1e-01 3:45.0\n",
      "   46    552 -3.935413627413055e+00 3.8e+00 1.14e-01  5e-02  1e-01 3:49.2\n",
      "   47    564 -3.961255834498578e+00 3.9e+00 1.25e-01  6e-02  1e-01 3:54.9\n",
      "   48    576 -3.985975951929020e+00 4.2e+00 1.26e-01  5e-02  1e-01 3:59.6\n",
      "   49    588 -3.927977739768699e+00 4.3e+00 1.15e-01  5e-02  1e-01 4:05.8\n",
      "   50    600 -3.908728998104128e+00 4.6e+00 1.05e-01  4e-02  1e-01 4:09.9\n",
      "termination on maxiter=50 (Wed May 22 11:10:47 2019)\n",
      "final/bestever f-value = -3.912920e+00 -3.985976e+00\n",
      "incumbent solution: [0.99632688 0.22246633 0.47692748 0.40016542 0.31472951 0.91842239\n",
      " 0.97391217 0.4410661  ...]\n",
      "std deviations: [0.11678458 0.10099733 0.08327581 0.11131679 0.08443226 0.1064649\n",
      " 0.09533832 0.04447207 ...]\n"
     ]
    }
   ],
   "source": [
    "res = cma.fmin(critere_cma,init,.2,options)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Results of optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "optimal design variable values [0.79788933 0.26254902 0.40282541 0.40640112 0.24954599 0.89574109\n",
      " 0.93072581 0.45321721 0.37927109 0.65786445]\n",
      "Objective, Penalized Constraint (6.01402404807098, -5)\n",
      "Optimal GLOW (t) [601.40240481]\n"
     ]
    }
   ],
   "source": [
    "print('optimal design variable values',res[0])\n",
    "print('Objective, Penalized Constraint',Objective_function(res[0],lowerbnd_exp,upperbnd_exp,P_obj,1))\n",
    "print('Optimal GLOW (t)', P_obj['GLOW']/1e3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plots of the results of optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "P_out = FPI_optim(res[0],lowerbnd_exp,upperbnd_exp,P_obj)\n",
    "result_vizualization.plots_output(P_out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GLOW (t)</th>\n",
       "      <th>Dry_mass_stage_1  (t)</th>\n",
       "      <th>Dry_mass_stage_2  (t)</th>\n",
       "      <th>Prop_mass_stage_1 (t)</th>\n",
       "      <th>Prop_mass_stage_2 (t)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>601.402</td>\n",
       "      <td>42.254</td>\n",
       "      <td>4.982</td>\n",
       "      <td>471.916</td>\n",
       "      <td>75.251</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   GLOW (t)  Dry_mass_stage_1  (t)  Dry_mass_stage_2  (t)  \\\n",
       "0   601.402                 42.254                  4.982   \n",
       "\n",
       "   Prop_mass_stage_1 (t)  Prop_mass_stage_2 (t)  \n",
       "0                471.916                 75.251  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = [[P_out['GLOW'][0]/1e3,\n",
    "         P_out['Dry_mass_stage_1'][0]/1e3,\n",
    "         P_out['Dry_mass_stage_2'][0]/1e3,\n",
    "        P_out['Prop_mass_stage_1'][0]/1e3,\n",
    "        P_out['Prop_mass_stage_2'][0]/1e3]]\n",
    "df = pd.DataFrame(data, columns=[\"GLOW (t)\", \"Dry_mass_stage_1  (t)\", \n",
    "                                     \"Dry_mass_stage_2  (t)\", \"Prop_mass_stage_1 (t)\", \n",
    "                                     \"Prop_mass_stage_2 (t)\"])\n",
    "df.round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}