{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Julia-Perple_X interface demo\n",
    "\n",
    "This notebook runs the <a href=\"https://github.com/brenhinkeller/StatGeochem.jl\" target=\"_blank\">StatGeochem.jl</a> package, which implements an interface for interacting with <a href=\"https://www.perplex.ethz.ch\" target=\"_blank\">Perple_X</a> from the <a href=\"https://julialang.org\" target=\"_blank\">Julia programming language</a>, including from Jupyter notebooks such as this.\n",
    "\n",
    "StatGeochem.jl also includes some of the codes and utilities used in <a href=\"https://doi.org/10.1038/nature11024\" target=\"_blank\">Keller & Schoene 2012</a>, <a href=\"https://doi.org/10.1038/nature14584\" target=\"_blank\">Keller et al. 2015</a> and <a href=\"https://doi.org/10.1016/j.epsl.2017.10.031\" target=\"_blank\">Keller & Schoene 2018</a>.\n",
    "\n",
    "<a href=\"https://mybinder.org/v2/gh/brenhinkeller/StatGeochem.jl/main?filepath=examples%2FPerplexExamples.ipynb\" target=\"_blank\"><img src=\"https://mybinder.org/badge_logo.svg\" alt=\"Launch Binder notebook\" align=\"left\"></a> \n",
    "<p style=\"text-indent: 5px\">If running this notebook as an online Binder notebook and the webpage times out, click the badge at left to relaunch (refreshing will not work). Note that any changes will be lost!</p>\n",
    "\n",
    "Hint: `shift`-`enter` to run a single cell, or from the `Cell` menu select `Run All` to run the whole file. Any code from this notebook can be copied and pasted into the Julia REPL or a `.jl` script.\n",
    "***\n",
    "### Load required Julia packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "## --- Load the StatGeochem package\n",
    "using StatGeochem\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Try to download and install Perple_X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "## --- Configure\n",
    "\n",
    "# Absolute paths to perplex resources\n",
    "perplexdir = joinpath(resourcepath,\"perplex-stable\")\n",
    "scratchdir = \"./scratch/\" # Location of directory to store output files\n",
    "\n",
    "# Attempt to install perplex, if not already extant\n",
    "if !isfile(joinpath(perplexdir,\"vertex\"))\n",
    "    # Make sure resourcepath exists\n",
    "    run(`mkdir -p $resourcepath`)\n",
    "\n",
    "    # Try to compile PerpleX from source; if that fails, try to download linux binaries\n",
    "    try\n",
    "        # Check if there is a fortran compiler\n",
    "        run(`gfortran -v`)\n",
    "\n",
    "        # Download Perplex v6.8.7 -- known to work with interface used here\n",
    "        file = download(\"https://storage.googleapis.com/statgeochem/perplex-6.8.7-source.zip\", joinpath(resourcepath,\"perplex-stable.zip\"))\n",
    "\n",
    "        # # For a more updated perplex version, you might also try\n",
    "        # file = download(\"https://petrol.natur.cuni.cz/~ondro/perplex-sources-stable.zip\", joinpath(resourcepath,\"perplex-stable.zip\"))\n",
    "\n",
    "        run(`unzip -u $file -d $resourcepath`) # Extract\n",
    "        system(\"cd $perplexdir; make\") # Compile\n",
    "    catch\n",
    "        @warn \"Failed to compile from source, trying precompiled linux binaries instead\"\n",
    "        run(`mkdir -p $perplexdir`)\n",
    "        file = download(\"https://petrol.natur.cuni.cz/~ondro/Perple_X_6.8.7_Linux_64_gfortran.tar.gz\",\"perplex-6.8.7-linux.tar.gz\")\n",
    "        run(`tar -xzf $file -C $perplexdir`)\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Configure Perple_X options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9-element Vector{Float64}:\n",
       " 50.0956\n",
       " 15.3224\n",
       "  8.5103\n",
       "  9.252\n",
       "  9.6912\n",
       "  2.5472\n",
       "  0.8588\n",
       "  2.0\n",
       "  0.6"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## --- # # # # # # # # # # # # # Initial composition # # # # # # # # # # # # # #\n",
    "\n",
    "## McDonough Pyrolite\n",
    "#elements =    [ \"SIO2\", \"TIO2\", \"AL2O3\",  \"FEO\",  \"MNO\",  \"MGO\",  \"CAO\", \"NA2O\",  \"K2O\",  \"H2O\",  \"CO2\",]\n",
    "#composition = [45.1242, 0.2005, 4.4623, 8.0723, 0.1354, 37.9043, 3.5598, 0.3610, 0.0291, 0.1511, 0.0440,]\n",
    "\n",
    "## Kelemen (2014) primitive continental basalt. H2O and CO2 are guesses\n",
    "#elements =    [ \"SIO2\", \"TIO2\", \"AL2O3\",  \"FEO\",  \"MNO\",  \"MGO\",  \"CAO\", \"NA2O\",  \"K2O\",  \"H2O\",  \"CO2\",]\n",
    "#composition = [50.0956, 0.9564, 15.3224, 8.5103, 0.1659, 9.2520, 9.6912, 2.5472, 0.8588, 2.0000, 0.6000,]\n",
    "\n",
    "# Kelemen (2014) primitive continental basalt excluding Mn and Ti since most melt models can\"t handle them..\n",
    "elements =    [ \"SIO2\", \"AL2O3\",  \"FEO\",  \"MGO\",  \"CAO\", \"NA2O\",  \"K2O\",  \"H2O\",  \"CO2\",]\n",
    "composition = [50.0956, 15.3224, 8.5103, 9.2520, 9.6912, 2.5472, 0.8588, 2.0000, 0.6000,]\n",
    "\n",
    "## Average Archean basalt (EarthChem data)\n",
    "#elements =    [ \"SIO2\", \"TIO2\", \"AL2O3\",   \"FEO\",  \"MNO\",   \"MGO\",  \"CAO\", \"NA2O\",  \"K2O\",  \"H2O\",  \"CO2\",]\n",
    "#composition = [49.2054, 0.8401, 12.0551, 11.4018, 0.2198, 12.3997, 9.3113, 1.6549, 0.4630, 1.8935, 0.5555,]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"\""
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## --- # # # # # # # # # # # Some solution model options # # # # # # # # # # # #\n",
    "\n",
    "# Emphasis on phases from Green (2016) -- developed for metabasites, includes what is probably the best (and most expensive) amphibole model. Use with hp11ver.dat\n",
    "G_solution_phases = \"Augite(G)\\nOpx(JH)\\ncAmph(G)\\noAmph(DP)\\nO(JH)\\nSp(JH)\\nGrt(JH)\\nfeldspar_B\\nMica(W)\\nBio(TCC)\\nChl(W)\\nCtd(W)\\nCrd(W)\\nSa(WP)\\nSt(W)\\nIlm(WPH)\\nAtg(PN)\\nT\\nB\\nF\\nDo(HP)\\nScap\\nChum\\nNeph(FB)\\n\"\n",
    "G_excludes =\"ged\\nfanth\\ngl\\nilm\\nilm_nol\\n\"\n",
    "\n",
    "# Emphasis on phases from White (2014) -- developed for metapelites. Use with hp11ver.dat (though can apparenty run with hp02ver.dat without crashing)\n",
    "W_solution_phases = \"Omph(HP)\\nOpx(W)\\ncAmph(DP)\\noAmph(DP)\\nO(JH)\\nSp(JH)\\nGt(W)\\nfeldspar_B\\nMica(W)\\nBi(W)\\nChl(W)\\nCtd(W)\\nCrd(W)\\nSa(WP)\\nSt(W) \\nIlm(WPH)\\nAtg(PN)\\nT\\nB\\nF\\nDo(HP)\\nScap\\nChum\\nPu(M)\\n\"\n",
    "W_excludes = \"andr\\nts\\nparg\\ngl\\nged\\nfanth\\n\"\n",
    "\n",
    "# Emphasis on phases from Jennings and Holland (2015) -- developed for mantle melting. Use with hp11ver.dat\n",
    "JH_solution_phases = \"Cpx(JH)\\nOpx(JH)\\ncAmph(DP)\\noAmph(DP)\\nO(JH)\\nSp(JH)\\nGrt(JH)\\nfeldspar_B\\nMica(W)\\nBio(TCC)\\nChl(W)\\nCtd(W)\\nCrd(W)\\nSa(WP)\\nSt(W)\\nIlm(WPH)\\nAtg(PN)\\nT\\nB\\nF\\nDo(HP)\\nScap\\nChum\\nNeph(FB)\\n\"\n",
    "JH_excludes = \"ts\\nparg\\ngl\\nged\\nfanth\\n\"\n",
    "\n",
    "# Emphasis on phases from Holland and Powell -- all phases can be used with hp02ver.dat.\n",
    "HP_solution_phases = \"Omph(HP)\\nOpx(HP)\\nGlTrTsPg\\nAnth\\nO(HP)\\nSp(HP)\\nGt(HP)\\nfeldspar_B\\nMica(CF)\\nBio(TCC)\\nChl(HP)\\nCtd(HP)\\nSapp(HP)\\nSt(HP)\\nIlHm(A)\\nDo(HP)\\nT\\nB\\nF\\n\"\n",
    "HP_excludes = \"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run Perple_X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 33.392907 seconds (114.44 k allocations: 7.876 MiB, 0.10% compilation time)\n"
     ]
    },
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: `perplex_query_1d` not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: `perplex_query_1d` not defined",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[5]:16"
     ]
    }
   ],
   "source": [
    "## --- # # # # # # # # # # # # # Isobaric example # # # # # # # # # # # # # # # #\n",
    "\n",
    "    # Input parameters\n",
    "    P = 10000 # Pressure, bar\n",
    "    T_range = (500+273.15, 1500+273.15) # Temperature range, Kelvin\n",
    "    melt_model = \"melt(G)\"\n",
    "\n",
    "    # Configure (run build and vertex)\n",
    "    @time perplex_configure_isobar(perplexdir, scratchdir, composition, elements,\n",
    "        P, T_range, dataset=\"hp11ver.dat\", npoints=100, excludes=G_excludes,\n",
    "        solution_phases=melt_model*\"\\n\"*G_solution_phases)\n",
    "\n",
    "## --- Query all properties at a single temperature -- results returned as text\n",
    "\n",
    "    T = 1450+273.15\n",
    "    data_isobaric = perplex_query_1d(perplexdir, scratchdir, T) |> print"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{Any, Any} with 8 entries:\n",
       "  \"SIO2\"   => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  52.0366, 52…\n",
       "  \"CAO\"    => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  10.0663, 10…\n",
       "  \"K2O\"    => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  0.891978, 0…\n",
       "  \"AL2O3\"  => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  15.91, 15.9…\n",
       "  \"wt_pct\" => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  1.7158, 1.7…\n",
       "  \"FEO\"    => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  8.83931, 8.…\n",
       "  \"MGO\"    => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  9.60967, 9.…\n",
       "  \"NA2O\"   => [NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN  …  2.64613, 2.…"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## --- Query the full isobar -- results returned as dict\n",
    "\n",
    "bulk = perplex_query_system(perplexdir, scratchdir)             # Get system data for all temperatures. Set include_fluid = \"n\" to get solid+melt only\n",
    "modes = perplex_query_modes(perplexdir, scratchdir)             # || phase modes\n",
    "melt = perplex_query_phase(perplexdir, scratchdir, melt_model)  # || melt data\n",
    "\n",
    "# Melt wt.% seems to be slightly inaccurate; use values from modes instead\n",
    "melt[\"wt_pct\"] = modes[melt_model]\n",
    "\n",
    "# Create dictionary to hold solid composition and fill it using what we know from system and melt\n",
    "solid = Dict()\n",
    "solid[\"wt_pct\"] = 100 .- melt[\"wt_pct\"]\n",
    "for e in [\"SIO2\",\"AL2O3\",\"FEO\",\"MGO\",\"CAO\",\"NA2O\",\"K2O\"]\n",
    "    solid[e] = (bulk[e] - (melt[e] .* melt[\"wt_pct\"]/100)) ./ (solid[\"wt_pct\"]/100)\n",
    "end\n",
    "renormalize!(solid,[\"SIO2\",\"AL2O3\",\"FEO\",\"MGO\",\"CAO\",\"NA2O\",\"K2O\"],total=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## --- Plot melt composition as a function of melt percent\n",
    "\n",
    "h = plot(xlabel=\"Percent melt\", ylabel=\"Wt. % in melt\", title=\"$melt_model + G_solution_phases, $P bar\")\n",
    "i = 0\n",
    "for e in [\"SIO2\",\"AL2O3\",\"FEO\",\"MGO\",\"CAO\",\"NA2O\",\"K2O\"]\n",
    "    plot!(h, melt[\"wt_pct\"], melt[e], label=e, color=lines[global i += 1])\n",
    "    plot!(h, melt[\"wt_pct\"], bulk[e], label=\"\", color=lines[i], linestyle=:dot)\n",
    "end\n",
    "plot!(h,fg_color_legend=:white, framestyle=:box)\n",
    "# savefig(h,\"MeltComposition.pdf\")\n",
    "display(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## --- Plot solid composition as a function of melt percent\n",
    "\n",
    "h = plot(xlabel=\"Percent melt\", ylabel=\"Wt. % in solid\", title=\"$melt_model + G_solution_phases, $P bar\")\n",
    "i = 0\n",
    "for e in [\"SIO2\",\"AL2O3\",\"FEO\",\"MGO\",\"CAO\",\"NA2O\",\"K2O\"]\n",
    "    plot!(h, melt[\"wt_pct\"], solid[e], label=e, color=lines[global i +=1])\n",
    "end\n",
    "plot!(h,fg_color_legend=:white, framestyle=:box, legend=:topleft)\n",
    "# savefig(h,\"SolidComposition.pdf\")\n",
    "display(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## --- Plot modes of all phases as a function of temperature\n",
    "\n",
    "h = plot(xlabel=\"T (C)\", ylabel=\"Weight percent\", title=\"$melt_model + G_solution_phases, $P bar\")\n",
    "for m in modes[\"elements\"][3:end]\n",
    "    plot!(h, modes[\"T(K)\"] .- 273.15, modes[m], label=m)\n",
    "end\n",
    "plot!(h,fg_color_legend=:white, framestyle=:box)\n",
    "# savefig(h,\"PhaseModes.pdf\")\n",
    "display(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Built problem definition\n",
      "  1.197584 seconds (28.30 k allocations: 1.985 MiB, 2.02% compilation time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## --- # # # # # # # # # # # Geothermal gradient example # # # # # # # # # # # #\n",
    "\n",
    "# Input parameters\n",
    "P_range = (280, 28000) # Pressure range to explore, bar (roughly 1-100 km depth)\n",
    "T_surf = 273.15 # Temperature of surface (K)\n",
    "geotherm = 0.1 # Geothermal gradient of 0.1 K/bar == about 28.4 K/km\n",
    "melt_model = \"\"\n",
    "\n",
    "# Configure (run build and vertex)\n",
    "@time perplex_configure_geotherm(perplexdir, scratchdir, composition, elements,\n",
    "    P_range, T_surf, geotherm, dataset=\"hp02ver.dat\", excludes=HP_excludes,\n",
    "    solution_phases=HP_solution_phases, npoints=200, index=2)\n",
    "\n",
    "# # Alternative configuration, using hpha02ver.dat\n",
    "# @time perplex_configure_geotherm(perplexdir, scratchdir, composition, elements,\n",
    "#     P_range, T_surf, geotherm, dataset=\"hpha02ver.dat\", excludes=\"qGL\\n\"*HP_excludes,\n",
    "#     solution_phases=HP_solution_phases, npoints=200, index=2)\n",
    "\n",
    "# # Alternative configuration, using hpha02ver.dat and new phases for metapelites\n",
    "# @time perplex_configure_geotherm(perplexdir, scratchdir, composition, elements,\n",
    "#     P_range, T_surf, geotherm, dataset=\"hpha02ver.dat\", excludes=\"qGL\\n\"*W_excludes,\n",
    "#     solution_phases=W_solution_phases, npoints=200, index=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## --- Plot modes of all phases as a function of temperature\n",
    "\n",
    "# Get phase modes\n",
    "modes = perplex_query_modes(perplexdir, scratchdir, index=2)\n",
    "\n",
    "h = plot(xlabel=\"T (C)\", ylabel=\"Weight percent\")\n",
    "for m in modes[\"elements\"][3:end]\n",
    "    plot!(h, modes[\"T(K)\"] .- 273.15, modes[m], label=m)\n",
    "end\n",
    "plot!(h,fg_color_legend=:white, framestyle=:box)\n",
    "# savefig(h,\"GeothermPhaseModes.pdf\")\n",
    "display(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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    }
   ],
   "source": [
    "## --- Plot seismic properties\n",
    "\n",
    "# Query seismic properties along the whole profile\n",
    "seismic = perplex_query_seismic(perplexdir, scratchdir, index=2)\n",
    "seismic[\"vp/vs\"][seismic[\"vp/vs\"] .> 100] .= NaN # Exclude cases where vs drops to zero\n",
    "\n",
    "h = plot(xlabel=\"Pressure\", ylabel=\"Property\")\n",
    "plot!(h,seismic[\"P(bar)\"],seismic[\"vp,km/s\"], label=\"vp,km/s\")\n",
    "plot!(h,seismic[\"P(bar)\"],seismic[\"vp/vs\"], label=\"vp/vs\")\n",
    "plot!(h,seismic[\"P(bar)\"],seismic[\"rho,kg/m3\"]/1000, label=\"rho, g/cc\")\n",
    "plot!(h,seismic[\"P(bar)\"],seismic[\"T(K)\"]/1000, label=\"T(K)/1000\")\n",
    "# savefig(h,\"GeothermSeismicProperties.pdf\")\n",
    "display(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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