19_Function_Interpolation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture 19: Function Interpolation\n",
    "\n",
    "## Lagrange interpolation\n",
    "Classical polynomial interpolation uses Lagrange basis polynomials.\n",
    "Given a set of $N$ interpolation points $x_i$ we construct the basis functions\n",
    "\n",
    "$$\n",
    "\\ell_j(x) = \\prod_{k=1, k\\neq j}^N \\frac{x - x_k}{x_j-x_k}\n",
    "$$\n",
    "\n",
    "which satisfy\n",
    "\n",
    "$$\n",
    "\\ell_j(x_k) = \\delta_{jk}.\n",
    "$$\n",
    "\n",
    "Then the interpolation polynomial through the points $f_j = f(x_j)$ becomes\n",
    "\n",
    "$$\n",
    "P(x) = \\sum_{j=1}^N f_j\\, \\ell_j(x)\n",
    "$$\n",
    "\n",
    "which interpolates the function values:\n",
    "$$\n",
    "P(x_k) = \\sum_{j=1}^N f_j\\, \\underbrace{\\ell_j(x_k)}_{=\\delta_{jk}} = f_k.\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Interact\n",
    "\n",
    "using PyPlot\n",
    "PyPlot.svg(true);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lagrange_basis (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function lagrange_basis(xs)\n",
    "    \"\"\" Return Lagrange basis functions for the vector of\n",
    "    interpolation points xs\n",
    "    \"\"\"\n",
    "    N = length(xs)\n",
    "    ℓs = []\n",
    "    \n",
    "    for j=1:N\n",
    "        function ℓ(x)\n",
    "            xs_no_j = xs[vcat(1:j-1, j+1:N)]\n",
    "            return prod(x .- xs_no_j)/prod(xs[j] .- xs_no_j)\n",
    "        end\n",
    "        \n",
    "        push!(ℓs, ℓ)\n",
    "    end\n",
    "    \n",
    "    return ℓs\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "xk = LinRange(0, 1, 11)\n",
    "ℓs = lagrange_basis(xk);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
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     "data": {
      "text/plain": [
       "PyObject Text(27.400000000000013, 0.5, '$ℓ_k(x)$')"
      ]
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     "execution_count": 11,
     "metadata": {},
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   ],
   "source": [
    "figure()\n",
    "xs = LinRange(-0.01, 1.01, 500)\n",
    "\n",
    "for ℓ in ℓs\n",
    "    plot(xs, ℓ.(xs))\n",
    "end\n",
    "\n",
    "title(\"Lagrange interpolation polynomials for evenly spaced points\")\n",
    "xlabel(L\"x\")\n",
    "ylabel(L\"ℓ_k(x)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11-element Array{Float64,1}:\n",
       "  0.0                   \n",
       "  0.5877852522924731    \n",
       "  0.9510565162951535    \n",
       "  0.9510565162951536    \n",
       "  0.5877852522924732    \n",
       "  1.2246467991473532e-16\n",
       " -0.587785252292473     \n",
       " -0.9510565162951535    \n",
       " -0.9510565162951536    \n",
       " -0.5877852522924734    \n",
       " -2.4492935982947064e-16"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's interpolate a simple function\n",
    "f = sin.(xk*2π)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lagrange_interp (generic function with 1 method)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function lagrange_interp(x, f, ℓs)\n",
    "    \"\"\" Interpolate the function values f using the basis\n",
    "    functions ℓs at the point x.\n",
    "    \"\"\"\n",
    "    S = 0.0\n",
    "    for (fx, ℓ) in zip(f, ℓs)\n",
    "        S += fx*ℓ(x)\n",
    "    end\n",
    "    \n",
    "    return S\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f48c3ea0668>"
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     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure()\n",
    "xs = LinRange(-0.5, 1.5, 500)\n",
    "\n",
    "li(x) = lagrange_interp(x, f, ℓs)\n",
    "plot(xs, li.(xs), label=\"polynomial interpolant\")\n",
    "plot(xk, f, \"o\", label=\"samples\")\n",
    "\n",
    "title(\"Lagrange interpolation for samples\")\n",
    "xlabel(L\"x\")\n",
    "ylabel(L\"y\")\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classical interpolation does not converge for $N\\rightarrow\\infty$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fun (generic function with 1 method)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Runge's function\n",
    "fun(x) = 1/(1 + 25x^2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
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      "text/plain": [
       "Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Scope(\"knockout-component-fe3e8592-265d-47b3-a800-6ad373f4c737\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"N\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:className=>\"interact-flex-row-left\"), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>30,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: index, valueUpdate: 'input', event: {change: function (){this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:className=>\"interact-flex-row-center\"), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: formatted_val\")), 0)], Dict{Symbol,Any}(:className=>\"interact-flex-row-right\"), 1)], Dict{Symbol,Any}(:className=>\"interact-flex-row interact-widget\"), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64} with 1 listeners. Value:\n",
       "0, nothing),\"index\"=>(Observable{Int64} with 2 listeners. Value:\n",
       "2, nothing)), Set(String[]), nothing, Asset[Asset(\"js\", \"knockout\", \"/home/henrik/.julia/packages/Knockout/JE2Yq/src/../assets/knockout.js\"), Asset(\"js\", \"knockout_punches\", \"/home/henrik/.julia/packages/Knockout/JE2Yq/src/../assets/knockout_punches.js\"), Asset(\"js\", nothing, \"/home/henrik/.julia/packages/InteractBase/R8JgH/src/../assets/all.js\"), Asset(\"css\", nothing, \"/home/henrik/.julia/packages/InteractBase/R8JgH/src/../assets/style.css\"), Asset(\"css\", nothing, \"/home/henrik/.julia/packages/Interact/0klKX/src/../assets/bulma_confined.min.css\")], Dict{Any,Any}(\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"index\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"index\\\"]()) ? (this.valueFromJulia[\\\"index\\\"]=true, this.model[\\\"index\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:0), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0)), WebIO.JSString[JSString(\"function () {\\n    var handler = (function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = {\\\"formatted_vals\\\":[\\\"2\\\",\\\"3\\\",\\\"4\\\",\\\"5\\\",\\\"6\\\",\\\"7\\\",\\\"8\\\",\\\"9\\\",\\\"10\\\",\\\"11\\\",\\\"12\\\",\\\"13\\\",\\\"14\\\",\\\"15\\\",\\\"16\\\",\\\"17\\\",\\\"18\\\",\\\"19\\\",\\\"20\\\",\\\"21\\\",\\\"22\\\",\\\"23\\\",\\\"24\\\",\\\"25\\\",\\\"26\\\",\\\"27\\\",\\\"28\\\",\\\"29\\\",\\\"30\\\"],\\\"changes\\\":WebIO.getval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-fe3e8592-265d-47b3-a800-6ad373f4c737\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"}),\\\"index\\\":WebIO.getval({\\\"name\\\":\\\"index\\\",\\\"scope\\\":\\\"knockout-component-fe3e8592-265d-47b3-a800-6ad373f4c737\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"})};\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        [this[\\\"formatted_val\\\"]=ko.computed(    function(){\\n        return this.formatted_vals()[parseInt(this.index())-1];\\n    }\\n,this)]\\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-fe3e8592-265d-47b3-a800-6ad373f4c737\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"index\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"index\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"index\\\",\\\"scope\\\":\\\"knockout-component-fe3e8592-265d-47b3-a800-6ad373f4c737\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"index\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n);\\n    (WebIO.importBlock({\\\"data\\\":[{\\\"name\\\":\\\"knockout\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/b89f888cea3d16c02e3e4f22c062976eee7fa69c-knockout.js\\\"},{\\\"name\\\":\\\"knockout_punches\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/4c0c11967a083f338be3ffe85beebff47b087257-knockout_punches.js\\\"}],\\\"type\\\":\\\"async_block\\\"})).then((imports) => handler.apply(this, imports));\\n}\\n\")])], Dict{Symbol,Any}(:className=>\"field interact-widget\"), 1), Observable{Any} with 0 listeners. Value:\n",
       "Node{DOM}(DOM(:html, :div), Any[Figure(PyObject <Figure size 640x480 with 1 Axes>)], Dict{Symbol,Any}(:className=>\"interact-flex-row interact-widget\"), 1)], Dict{Symbol,Any}(), 2)"
      ]
     },
     "execution_count": 16,
     "metadata": {
      "application/vnd.webio.node+json": {
       "kernelId": "01018254-53b8-48b0-91f1-325bf938aa9c"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig, ax = subplots()\n",
    "\n",
    "xs = LinRange(-1, 1, 500)\n",
    "fxs = fun.(xs)\n",
    "\n",
    "@manipulate for N=slider(2:30, value=2, label=\"N\")\n",
    "    withfig(fig, clear=false) do\n",
    "        ax.cla()\n",
    "        \n",
    "        ax.plot(xs, fxs, label=\"Runge's function\")\n",
    "\n",
    "        xks_N = LinRange(-1, 1, N)\n",
    "        ℓN = lagrange_basis(xks_N)\n",
    "\n",
    "        f_xks_N = fun.(xks_N)\n",
    "\n",
    "        li(x) = lagrange_interp(x, f_xks_N, ℓN)\n",
    "\n",
    "        ax.plot(xks_N, f_xks_N, \"o\")\n",
    "        ax.plot(xs, li.(xs), label=\"N=$(N) interpolant\")\n",
    "        \n",
    "        ax.set_ylim(0, 1.3)\n",
    "\n",
    "\n",
    "        ax.legend()\n",
    "        ax.set_xlabel(L\"x\")\n",
    "        ax.set_ylabel(L\"f(x)\")\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Chebyshev polynomial interpolation\n",
    "\n",
    "The Chebyshev polynomials are defined by\n",
    "\n",
    "$$\n",
    "T_n(x) = \\cos(n \\arccos(x)) = \\sum_{k=0}^{\\lfloor{n/2}\\rfloor} {{n}\\choose{2k}} (x^2 -1)^k x^{n-2k},\n",
    "$$\n",
    "\n",
    "and can be used to interpolate arbitrary functions on the interval $[-1,1]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chebyshev_basis (generic function with 1 method)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function chebyshev_basis(n)\n",
    "    \"\"\" Return the n+1 first Chebyshev polynomials\n",
    "    \"\"\"\n",
    "    chebs = Function[x -> 1.0]\n",
    "    for i=1:n\n",
    "        function cheb(x)\n",
    "            f = 0.0\n",
    "            for k=0:Int64(floor(i/2))\n",
    "                f += binomial(i, 2k) * (x^2 - 1)^k * x^(i-2k)\n",
    "            end\n",
    "            \n",
    "            return f\n",
    "        end\n",
    "        \n",
    "        push!(chebs, cheb)\n",
    "    end\n",
    "    \n",
    "    return chebs\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "chebs = chebyshev_basis(5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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   "source": [
    "figure()\n",
    "xs = LinRange(-1, 1., 500)\n",
    "\n",
    "for Tn in chebs[1:5]\n",
    "    plot(xs, Tn.(xs))\n",
    "end\n",
    "\n",
    "title(\"Chebyshev polynomials\")\n",
    "xlabel(L\"x\")\n",
    "ylabel(L\"T_n(x)\")"
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   "source": [
    "## Chebyshev transform\n",
    "\n",
    "Using the inner product \n",
    "$$\n",
    "\\langle f, g\\rangle = \\int_{-1}^1 \\frac{f(x) g(x)}{\\sqrt{1-x^2}} dx\n",
    "$$\n",
    "\n",
    "we find the orthogonality relations\n",
    "$$\n",
    "\\langle T_n, T_m \\rangle = \\frac{\\pi}{2} \\delta_{nm}.\n",
    "$$\n",
    "\n",
    "Assuming that a Chebyshev expansion exists for a function $f(x)$:\n",
    "\n",
    "$$\n",
    "f(x) = \\sum_{n=0}^\\infty C_n T_n(x),\n",
    "$$\n",
    "\n",
    "we find for the coefficients\n",
    "\n",
    "$$\n",
    "C_n = \\frac{2}{\\pi}  \\int_{-1}^1 \\frac{f(x) T_n(x)}{\\sqrt{1-x^2}} dx.\n",
    "$$\n",
    "\n",
    "Restricting to the first $N+1$ terms we find the Chebyshev interpolant\n",
    "\n",
    "$$\n",
    "f^{Cheb}(x) = \\sum_{n=0}^{N} C_n T_n(x),\n",
    "$$\n",
    "\n",
    "which is the unique interpolation polynomial of degree $N+1$ that agrees with $f(x)$\n",
    "at the Chebyshev points $x_n = \\cos (n\\pi/N)$."
   ]
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   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Lagrange basis polynomials for the Chebyshev points\n",
    "\n",
    "xk_cheb = cos.((0:10)*π/10)\n",
    "ℓs_cheb = lagrange_basis(xk_cheb);"
   ]
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  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
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    "xs = LinRange(-1., 1., 500)\n",
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   "source": [
    "fig, ax = subplots()\n",
    "\n",
    "xs = LinRange(-1, 1, 500)\n",
    "fxs = fun.(xs)\n",
    "\n",
    "@manipulate for N=slider(1:30, value=1, label=\"N\")\n",
    "    withfig(fig, clear=false) do\n",
    "        ax.cla()\n",
    "        \n",
    "        ax.plot(xs, fxs, label=\"Runge's function\")\n",
    "\n",
    "        xks_N = cos.((0:N)*π/N) # Chebyshev points\n",
    "        ℓN = lagrange_basis(xks_N)\n",
    "\n",
    "        f_xks_N = fun.(xks_N)\n",
    "\n",
    "        li(x) = lagrange_interp(x, f_xks_N, ℓN)\n",
    "\n",
    "        ax.plot(xks_N, f_xks_N, \"o\")\n",
    "        ax.plot(xs, li.(xs), label=\"N=$(N) Chebyshev interpolant\")\n",
    "        \n",
    "        ax.set_ylim(0, 1.3)\n",
    "\n",
    "\n",
    "        ax.legend()\n",
    "        ax.set_xlabel(L\"x\")\n",
    "        ax.set_ylabel(L\"f(x)\")\n",
    "    end\n",
    "end"
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   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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