{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module PlotRegion.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "ezcontour! (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"plotregion.jl\")\n",
    "using Plots\n",
    "\n",
    "ezcontour!(x, y, f) = begin\n",
    "    X = repeat(x', length(y), 1)\n",
    "    Y = repeat(y, 1, length(x))\n",
    "    # Evaluate each f(x, y) =\n",
    "    Z = map((x,y) -> (f([x,y])), X, Y)\n",
    "    plot!(x, y, Z, st=:contour)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "qp_activeset_step! (generic function with 1 method)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# \n",
    "#  min  1/2 x'*G*x + c'*x\n",
    "#  s.t. Ax = b\n",
    "#       Bx >= d\n",
    "using Printf\n",
    "mutable struct QPProblem\n",
    "    G::Matrix{Float64}\n",
    "    c::Vector{Float64}\n",
    "    \n",
    "    A::Matrix{Float64}\n",
    "    b::Vector{Float64}\n",
    "    \n",
    "    B::Matrix{Float64}\n",
    "    d::Vector{Float64}\n",
    "end\n",
    "\n",
    "mutable struct QPActiveState\n",
    "    x::Vector{Float64}\n",
    "    W::Set{Int}\n",
    "    flag::Bool\n",
    "    fval::Float64\n",
    "    P::QPProblem\n",
    "end\n",
    "\n",
    "\"\"\"A very simple QP KKT solver\"\"\"\n",
    "function qp_kkt_solve(P::QPProblem, W::Set{Int}, x::Vector{Float64})\n",
    "    Aeq = [P.A; P.B[collect(W),:]];\n",
    "    n = size(P.G,1)\n",
    "    m1 = size(P.A,1)\n",
    "    m2 = size(Aeq,1)\n",
    "    g = P.G*x + P.c\n",
    "    G = P.G\n",
    "    \n",
    "    sys = [G Aeq'; Aeq zeros(m2,m2)]\n",
    "    rhs = [g; zeros(m2,1)]\n",
    "    sol = sys\\rhs\n",
    "    p = -sol[1:n]\n",
    "    lam = sol[n+1:n+m1]\n",
    "    mu = zeros(size(P.B,1))\n",
    "    mu[collect(W)] = sol[n+m1+1:n+m2]\n",
    "    return p, lam, mu\n",
    "end\n",
    "\n",
    "function fval(P::QPProblem, x::Vector{Float64})\n",
    "    if length(P.b) > 0 && norm(P.A*x - P.b) >= 1.0e-8*length(P.b)\n",
    "        return Inf\n",
    "    elseif any(P.B*x - P.d .<= -1.0e-8)\n",
    "        return Inf\n",
    "    else\n",
    "        return 0.5*dot(P.G*x, x) + dot(P.c, x)\n",
    "    end     \n",
    "end\n",
    "\n",
    "# Setup an active set method for\n",
    "#  min  1/2 x'*G*x + c'*x\n",
    "#  s.t. Ax = b\n",
    "#       Bx >= d\n",
    "# with W as the initial working set\n",
    "function qp_init(G,c,A,b,B,d,W, x0)\n",
    "    P = QPProblem(G,c,A,b,B,d)\n",
    "    \n",
    "    W = Set{Int}(W) # make a copy\n",
    "    #p, lam, mu = kkt_solve(P, W, x0)\n",
    "    \n",
    "    return QPActiveState(x0, W, false, fval(P,x0), P)\n",
    "end\n",
    "\n",
    "# Take a step for an active set method for\n",
    "#  min  1/2 x'*G*x + c'*x\n",
    "#  s.t. Ax = b\n",
    "#       Bx >= d\n",
    "function qp_activeset_step!(S::QPActiveState)\n",
    "    p, lam, mu = qp_kkt_solve(S.P, S.W, S.x)\n",
    "    note = \"stepped\" #default case\n",
    "    if norm(p) <= 100*eps(1.0)\n",
    "        # we are done, or update working set\n",
    "        xn = S.x\n",
    "        if all(mu .>= -100*eps(1.0))\n",
    "            S.flag = true # solved it!\n",
    "        else\n",
    "            j = findmin(mu)[2]\n",
    "            delete!(S.W,j)\n",
    "            note = \"removed $j\"\n",
    "        end\n",
    "    else\n",
    "        # we need to move\n",
    "        # find the first constraint we hit that isn't\n",
    "        # in the working set\n",
    "        alpha = 1.0\n",
    "        ind = 0\n",
    "        \n",
    "        for i = 1:size(S.P.B,1)\n",
    "            # for each inequal constraint\n",
    "            if i in S.W\n",
    "                # do nothing\n",
    "            else\n",
    "                bi = S.P.B[i,:]\n",
    "                di = S.P.d[i]\n",
    "                if dot(bi,p) < -100*eps(1.0) # then we might hit a constraint\n",
    "                    testalpha = (di - dot(bi,S.x))/(dot(bi,p))\n",
    "                    if testalpha < alpha\n",
    "                        alpha = testalpha\n",
    "                        ind = i\n",
    "                    end\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "        \n",
    "        xn = S.x + alpha*p\n",
    "        if ind > 0\n",
    "            push!(S.W,ind) # add ind to the working set\n",
    "            note = \"added $ind\"\n",
    "        end\n",
    "    end\n",
    "    S.x = xn\n",
    "    S.fval = fval(S.P, S.x)\n",
    "    if length(mu) > 3 \n",
    "        @printf(\"Step: f=%4.1f  x=[%4.1f,%4.1f]  mu=[%-4.1f,%-4.1f,%-4.1f,%-4.1f]   note=%s\\n\",\n",
    "                        S.fval, S.x[1], S.x[2], mu[1], mu[2], mu[3], mu[4], note)\n",
    "    elseif length(mu) == 3\n",
    "        @printf(\"Step: f=%4.1f  x=[%4.1f,%4.1f]  mu=[%-4.1f,%-4.1f,%-4.1f]   note=%s\\n\",\n",
    "                        S.fval, S.x[1], S.x[2], mu[1], mu[2], mu[3], note)\n",
    "    elseif length(mu) == 2\n",
    "        @printf(\"Step: f=%4.1f  x=[%4.1f,%4.1f]  mu=[%-4.1f,%-4.1f]   note=%s\\n\",\n",
    "                        S.fval, S.x[1], S.x[2], mu[1], mu[2], note)\n",
    "    elseif length(mu) == 1\n",
    "        @printf(\"Step: f=%4.1f  x=[%4.1f,%4.1f]  mu=[%-4.1f]   note=%s\\n\",\n",
    "                        S.fval, S.x[1], S.x[2], mu[1], note)\n",
    "    elseif length(mu) == 0\n",
    "        @printf(\"Step: f=%4.1f  x=[%4.1f,%4.1f]  mu=[]   note=%s\\n\",\n",
    "                        S.fval, S.x[1], S.x[2],  note)\n",
    "    end\n",
    "\n",
    "    return S                \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra\n",
    "n = 2\n",
    "G = Matrix(1.0I, n, n)\n",
    "c = zeros(n)\n",
    "c[1] = 3; c[2] = -5\n",
    "#f = @(x) 0.5*(x'*G*x) + c'*x\n",
    "A = [-2 1; -1 2; 1 0; -0.5 -1]\n",
    "b = [2; 7; 3; -1.0]\n",
    "\n",
    "# We used Matlab to determine the vertices of the feasible polytope\n",
    "plot(Shape([-0.4,3,3,1],[1.2,-0.5,5,4]),fillalpha=0.5, fillcolor=\"grey\", label=\"\")\n",
    "ezcontour!(-1.0:0.25:3.0,-1.0:0.25:5.0,x -> 0.5*dot(G*x,x) + dot(c,x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,-6.0,0.0 ]   note=stepped\n",
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,-6.0,0.0 ]   note=removed 3\n",
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,0.0 ,0.0 ]   note=added 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "QPActiveState([3.0, 5.0], Set([2]), false, 1.0, QPProblem([1.0 0.0; 0.0 1.0], [3.0, -5.0], Matrix{Float64}(undef, 0, 2), Float64[], [2.0 -1.0; 1.0 -2.0; -1.0 -0.0; 0.5 1.0], [-2.0, -7.0, -3.0, 1.0]))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x0 = [3.0;0.0]\n",
    "W = [3]\n",
    "S = qp_init(G,c,zeros(0,n),zeros(0),-A,-b,W,x0)\n",
    "qp_activeset_step!(S)\n",
    "qp_activeset_step!(S)\n",
    "qp_activeset_step!(S)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Step: f=-8.9  x=[ 0.6, 3.2]  mu=[1.8 ,0.0 ,0.0 ,0.0 ]   note=stepped\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "QPActiveState([0.6, 3.2], Set([1]), true, -8.9, QPProblem([1.0 0.0; 0.0 1.0], [3.0, -5.0], Matrix{Float64}(undef, 0, 2), Float64[], [2.0 -1.0; 1.0 -2.0; -1.0 -0.0; 0.5 1.0], [-2.0, -7.0, -3.0, 1.0]))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qp_activeset_step!(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,-6.0,0.0 ]   note=stepped\n",
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,-6.0,0.0 ]   note=removed 3\n",
      "Step: f= 1.0  x=[ 3.0, 5.0]  mu=[0.0 ,0.0 ,0.0 ,0.0 ]   note=added 2\n",
      "Step: f=-8.5  x=[ 1.0, 4.0]  mu=[0.0 ,1.2 ,0.0 ,0.0 ]   note=added 1\n",
      "Step: f=-8.5  x=[ 1.0, 4.0]  mu=[2.3 ,-0.7,0.0 ,0.0 ]   note=removed 2\n",
      "Step: f=-8.9  x=[ 0.6, 3.2]  mu=[1.8 ,0.0 ,0.0 ,0.0 ]   note=stepped\n",
      "Step: f=-8.9  x=[ 0.6, 3.2]  mu=[1.8 ,0.0 ,0.0 ,0.0 ]   note=stepped\n"
     ]
    },
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Animate!\n",
    "plot(Shape([-0.4,3,3,1],[1.2,-0.5,5,4]),fillalpha=0.5, fillcolor=\"grey\", label=\"\")\n",
    "ezcontour!(-1.0:0.25:3.0,-1.0:0.25:5.0,x -> 0.5*dot(G*x,x) + dot(c,x))\n",
    "\n",
    "x0 = [3.0;0.0]\n",
    "W = [3]\n",
    "S = qp_init(G,c,zeros(0,n),zeros(0),-A,-b,W,x0)\n",
    "for i=1:10\n",
    "    xold = S.x\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\")\n",
    "    qp_activeset_step!(S)\n",
    "    xnew = S.x\n",
    "    #plot!([xold[1],xnew[1]], [xold[2],xnew[2]], marker=:none, label=\"\")\n",
    "    plot!([xold[1],xnew[1]], [xold[2],xnew[2]], label=\"\", color=2, linewidth=4)\n",
    "    if S.flag == true\n",
    "        break\n",
    "    end\n",
    "end\n",
    "\n",
    "if S.flag == true\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\", markersize=18)\n",
    "end\n",
    "plot!()\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Show a problem from Figure 16.3 in Nocedal and Wright\n",
    "\n",
    "n = 2\n",
    "G = 2*Matrix(1.0I,n,n)\n",
    "c = [-2.0; -5]\n",
    "A = [1.0 -2; -1 -2; -1 2; 1 0; 0 1]\n",
    "b = [-2.0; -6; -2; 0; 0]\n",
    "# this is Ax >= b\n",
    "\n",
    "# plotregion uses Ax = b, x >=0 \n",
    "PlotRegion.plotregion([A -Matrix(1.0I, size(A,1), size(A,1))],b)\n",
    "ezcontour!(0:0.25:5.0,0:0.25:5.0,x -> 0.5*dot(G*x,x) + dot(c,x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Step: f= 0.0  x=[ 2.0, 0.0]  mu=[0.0 ,0.0 ,-2.0,0.0 ]   note=removed 3\n",
      "Step: f=-1.0  x=[ 1.0, 0.0]  mu=[0.0 ,0.0 ,0.0 ,0.0 ]   note=stepped\n",
      "Step: f=-1.0  x=[ 1.0, 0.0]  mu=[0.0 ,0.0 ,0.0 ,0.0 ]   note=removed 5\n",
      "Step: f=-6.2  x=[ 1.0, 1.5]  mu=[0.0 ,0.0 ,0.0 ,0.0 ]   note=added 1\n",
      "Step: f=-6.4  x=[ 1.4, 1.7]  mu=[0.8 ,0.0 ,0.0 ,0.0 ]   note=stepped\n",
      "Step: f=-6.4  x=[ 1.4, 1.7]  mu=[0.8 ,0.0 ,0.0 ,0.0 ]   note=stepped\n"
     ]
    },
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Animate!\n",
    "PlotRegion.plotregion([A -Matrix(1.0I,size(A,1),size(A,1))],b)\n",
    "ezcontour!(0:0.25:5.0,0:0.25:5.0,x -> 0.5*dot(G*x,x) + dot(c,x))\n",
    "\n",
    "x0 = [2.0;0.0]\n",
    "W = [3,5]\n",
    "S = qp_init(G,c,zeros(0,n),zeros(0),A,b,W,x0)\n",
    "for i=1:10\n",
    "    xold = S.x\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\")\n",
    "    qp_activeset_step!(S)\n",
    "    xnew = S.x\n",
    "    plot!([xold[1],xnew[1]], [xold[2],xnew[2]], label=\"\", color=2, linewidth=4)\n",
    "    if S.flag == true\n",
    "        break\n",
    "    end\n",
    "end\n",
    "\n",
    "if S.flag == true\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\", markersize=18)\n",
    "end\n",
    "plot!()\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Perturb the solution so that we fall into the middle\n",
    "c = [-3.0; -1.0]\n",
    "\n",
    "# Animate!\n",
    "\n",
    "PlotRegion.plotregion([A -Matrix(1.0I,size(A,1),size(A,1))],b)\n",
    "ezcontour!(0:0.25:5.0,0:0.25:5.0,x -> 0.5*dot(G*x,x) + dot(c,x))\n",
    "\n",
    "x0 = [2.0;0.0]\n",
    "W = [3,5]\n",
    "S = qp_init(G,c,zeros(0,n),zeros(0),A,b,W,x0)\n",
    "for i=1:10\n",
    "    xold = S.x\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\")\n",
    "    qp_activeset_step!(S)\n",
    "    xnew = S.x\n",
    "    plot!([xold[1],xnew[1]], [xold[2],xnew[2]], label=\"\", color=2, linewidth=4)\n",
    "    if S.flag == true\n",
    "        break\n",
    "    end\n",
    "end\n",
    "\n",
    "if S.flag == true\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\", markersize=18)\n",
    "end\n",
    "plot!()\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Show the problem with a diagonal Hessian\n",
    "G = zeros(3,3)\n",
    "G[1,1] = 0.5\n",
    "G[2,2] = 2 \n",
    "G[3,3] = 3\n",
    "c = zeros(3)\n",
    "A = ones(1,3) # sum(x) = 1 \n",
    "b = [1] \n",
    "B = Matrix(1.0I, 3, 3)\n",
    "d = zeros(3) \n",
    "\n",
    "x0 = ones(3)/3\n",
    "W0 = Int[] \n",
    "\n",
    "PlotRegion.plotregion(\n",
    "    [A zeros(size(A,1),size(A,2)); \n",
    "     B -Matrix(1.0I,size(A,2),size(A,2))],[b; d])\n",
    "#ezcontour!(0:0.25:5.0,0:0.25:5.0,x -> (0.5*dot(G*x,x) + dot(c,x)))\n",
    "\n",
    "S = qp_init(G,c,A,b,B,d,W0,x0)\n",
    "for i=1:10\n",
    "    xold = S.x\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\")\n",
    "    qp_activeset_step!(S)\n",
    "    xnew = S.x\n",
    "    plot!([xold[1],xnew[1]], [xold[2],xnew[2]], label=\"\", color=2, linewidth=4)\n",
    "    @show xnew\n",
    "    if S.flag == true\n",
    "        break\n",
    "    end\n",
    "   \n",
    "end\n",
    "\n",
    "if S.flag == true\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\", markersize=18)\n",
    "end\n",
    "plot!()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Show the problem with a diagonal Hessian\n",
    "G = rand(3,3) |> G -> -(G + G')\n",
    "c = zeros(3)\n",
    "A = ones(1,3) # sum(x) = 1 \n",
    "b = [1] \n",
    "B = Matrix(1.0I, 3, 3)\n",
    "d = zeros(3) \n",
    "\n",
    "x0 = ones(3)/3\n",
    "W0 = Int[] \n",
    "\n",
    "PlotRegion.plotregion(\n",
    "    [A zeros(size(A,1),size(A,2)); \n",
    "     B -Matrix(1.0I,size(A,2),size(A,2))],[b; d])\n",
    "#ezcontour!(0:0.25:5.0,0:0.25:5.0,x -> (0.5*dot(G*x,x) + dot(c,x)))\n",
    "\n",
    "S = qp_init(G,c,A,b,B,d,W0,x0)\n",
    "for i=1:10\n",
    "    xold = S.x\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\")\n",
    "    qp_activeset_step!(S)\n",
    "    xnew = S.x\n",
    "    plot!([xold[1],xnew[1]], [xold[2],xnew[2]], label=\"\", color=2, linewidth=4)\n",
    "    @show xnew\n",
    "    if S.flag == true\n",
    "        break\n",
    "    end\n",
    "   \n",
    "end\n",
    "\n",
    "if S.flag == true\n",
    "    scatter!([S.x[1]], [S.x[2]], label=\"\", markersize=18)\n",
    "end\n",
    "plot!()\n"
   ]
  }
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