v0.5.5/examples/scf_callbacks.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Monitoring self-consistent field calculations\n",
    "\n",
    "The `self_consistent_field` function takes as the `callback`\n",
    "keyword argument one function to be called after each iteration.\n",
    "This function gets passed the complete internal state of the SCF\n",
    "solver and can thus be used both to monitor and debug the iterations\n",
    "as well as to quickly patch it with additional functionality.\n",
    "\n",
    "This example discusses a few aspects of the `callback` function\n",
    "taking again our favourite silicon example."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We setup silicon in an LDA model using the ASE interface\n",
    "to build the silicon lattice,\n",
    "see Creating slabs with ASE for more details."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using DFTK\n",
    "using PyCall\n",
    "\n",
    "silicon = pyimport(\"ase.build\").bulk(\"Si\")\n",
    "atoms = [ElementPsp(el.symbol, psp=load_psp(\"hgh/lda/si-q4.hgh\"))\n",
    "         for el in load_atoms(silicon)]\n",
    "positions = load_positions(silicon)\n",
    "lattice   = load_lattice(silicon);\n",
    "\n",
    "model = model_LDA(lattice, atoms, positions)\n",
    "basis = PlaneWaveBasis(model; Ecut=5, kgrid=[3, 3, 3]);"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "DFTK already defines a few callback functions for standard\n",
    "tasks. One example is the usual convergence table,\n",
    "which is defined in the callback `ScfDefaultCallback`.\n",
    "Another example is `ScfPlotTrace`, which records the total\n",
    "energy at each iteration and uses it to plot the convergence\n",
    "of the SCF graphically once it is converged.\n",
    "For details and other callbacks\n",
    "see [`src/scf/scf_callbacks.jl`](https://dftk.org/blob/master/src/scf/scf_callbacks.jl).\n",
    "\n",
    "!!! note \"Callbacks are not exported\"\n",
    "    Callbacks are not exported from the DFTK namespace as of now,\n",
    "    so you will need to use them, e.g., as `DFTK.ScfDefaultCallback`\n",
    "    and `DFTK.ScfPlotTrace`."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "In this example we define a custom callback, which plots\n",
    "the change in density at each SCF iteration after the SCF\n",
    "has finished. For this we first define the empty plot canvas\n",
    "and an empty container for all the density differences:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "p = plot(yaxis=:log)\n",
    "density_differences = Float64[];"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "The callback function itself gets passed a named tuple\n",
    "similar to the one returned by `self_consistent_field`,\n",
    "which contains the input and output density of the SCF step\n",
    "as `ρin` and `ρout`. Since the callback gets called\n",
    "both during the SCF iterations as well as after convergence\n",
    "just before `self_consistent_field` finishes we can both\n",
    "collect the data and initiate the plotting in one function."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using LinearAlgebra\n",
    "\n",
    "function plot_callback(info)\n",
    "    if info.stage == :finalize\n",
    "        plot!(p, density_differences, label=\"|ρout - ρin|\", markershape=:x)\n",
    "    else\n",
    "        push!(density_differences, norm(info.ρout - info.ρin))\n",
    "    end\n",
    "    info\n",
    "end\n",
    "callback = DFTK.ScfDefaultCallback() ∘ plot_callback;"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "Notice that for constructing the `callback` function we chained the `plot_callback`\n",
    "(which does the plotting) with the `ScfDefaultCallback`, such that when using\n",
    "the `plot_callback` function with `self_consistent_field` we still get the usual\n",
    "convergence table printed. We run the SCF with this callback ..."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Energy            log10(ΔE)   log10(Δρ)   α      Diag\n",
      "---   ---------------   ---------   ---------   ----   ----\n",
      "  1   -7.846663040835                   -0.70   0.80    4.2\n",
      "  2   -7.852276630944       -2.25       -1.54   0.80    1.0\n",
      "  3   -7.852621336747       -3.46       -2.53   0.80    3.2\n",
      "  4   -7.852621949560       -6.21       -3.35   0.80    2.0\n",
      "  5   -7.852621959209       -8.02       -4.64   0.80    1.4\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "scfres = self_consistent_field(basis, tol=1e-8, callback=callback);"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "... and show the plot"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=1}",
      "image/png": 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      ]
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "p"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "The `info` object passed to the callback contains not just the densities\n",
    "but also the complete Bloch wave (in `ψ`), the `occupation`, band `eigenvalues`\n",
    "and so on.\n",
    "See [`src/scf/self_consistent_field.jl`](https://dftk.org/blob/master/src/scf/self_consistent_field.jl#L101)\n",
    "for all currently available keys.\n",
    "\n",
    "!!! tip \"Debugging with callbacks\"\n",
    "    Very handy for debugging SCF algorithms is to employ callbacks\n",
    "    with an `@infiltrate` from [Infiltrator.jl](https://github.com/JuliaDebug/Infiltrator.jl)\n",
    "    to interactively monitor what is happening each SCF step."
   ],
   "metadata": {}
  }
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