{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def satisfied(x, y, constraints):\n", " \"\"\"Funkcja sprawdzająca czy dane rozwiązanie spełnia ograniczenia\n", " @param: x wartość x\n", " @param: y wartość y\n", " @param: contraints słownik z ograniczeniami w formacie {\"x\" : współczynnik przy x, \"y\" : współczynnik przy y,\n", " \"dir\" : kierunek (\"<=\" lub \">=\"), \"rhs\" : prawa strona ograniczenia}\n", "\n", " \"\"\"\n", " sat = True\n", " for c in constraints:\n", " if not eval(\"x*c['x'] + y*c['y']\" + c['dir'] + \"c['rhs']\"):\n", " return False\n", " return sat\n", "\n", "def find_intersection(c1, c2):\n", " \"\"\"Funkcja znajdująca punkt przecięcia dwóch ograniczeń\n", " @param: c1,c2 słownik z ograniczeniami w formacie {\"x\" : współczynnik przy x, \"y\" : współczynnik przy y,\n", " \"dir\" : kierunek (\"<=\" lub \">=\"), \"rhs\" : prawa strona ograniczenia}\n", "\n", " \"\"\"\n", " if c1['x']*c2['y'] == c1['y']*c2['x']:\n", " return[0,0]\n", " else:\n", " return np.linalg.solve(np.array(((c1['x'], c1['y']),(c2['x'], c2['y']))),np.array((c1['rhs'], c2['rhs'])))\n", " \n", "def find_bbox(constraints):\n", " \"\"\"Funkcja znajdująca bounding box obszaru rozwiąń dopuszczalnych\n", " @param: constraints słownik z ograniczeniami w formacie {\"x\" : współczynnik przy x, \"y\" : współczynnik przy y,\n", " \"dir\" : kierunek (\"<=\" lub \">=\"), \"rhs\" : prawa strona ograniczenia}\n", "\n", " \"\"\"\n", " max_xy = [0,0]\n", " full_const = constraints + [{'x':1, 'y':0, 'dir' : '>=', 'rhs':0, 'label' : 'x nieujemne'}, {'x':0, 'y':1, 'dir' : '>=', 'rhs':0, 'label' : 'y nieujemne'}]\n", " for i in range(len(full_const)-1):\n", " for j in range(i,len(full_const)):\n", " x, y = find_intersection(full_const[i],full_const[j])\n", " max_xy = [max(max_xy[0], x),max(max_xy[1],y)]\n", " return max_xy\n", "\n", "def plotLP(constraints, objective, density=100):\n", " \"\"\"Funkcja wykreślająca obszar rozwiązań dopuszczalnych i wartość funkcji celu\n", "\n", " @param: constraints słownik z ograniczeniami w formacie {\"x\" : współczynnik przy x, \"y\" : współczynnik przy y,\n", " \"dir\" : kierunek (\"<=\" lub \">=\"), \"rhs\" : prawa strona ograniczenia}\n", " @param: objective funkcja celu w formacie {\"x\" : współczynnik przy x, \"y\" : współczynnik przy y}\n", " @param: density gęstość pokrycia punktami obszaru rozwiązań dopuszczalnych (domyślnie 100)\n", " \"\"\"\n", " fig, ax = plt.subplots()\n", " colors = ['b','g','r','c','m','y','k']\n", " max_x, max_y = find_bbox(constraints)\n", " \n", " for i, c in enumerate(constraints):\n", " if c['x'] == 0:\n", " plt.axhline(y=c['rhs']/c['y'], lw=3, label=c['label'], color=colors[i])\n", " elif c['y'] == 0:\n", " plt.axvline(x=c['rhs']/c['x'], lw=3, label=c['label'], color=colors[i])\n", " else:\n", " x_points = [0, max_x]\n", " plt.plot(x_points, [c['rhs']/c['y'] - p*c['x']/c['y'] for p in x_points], lw=3, label=c['label'], color=colors[i])\n", "\n", " pairs = [(x, y) for x in np.linspace(0,max_x,density)\n", " for y in np.linspace(0, max_y, density)\n", " if satisfied(x, y, constraints)]\n", " \n", " xs, ys = np.hsplit(np.array(pairs), 2)\n", " z = np.zeros(len(xs))\n", " if type(objective) is dict:\n", " z = objective['x']*xs + objective['y']*ys\n", " elif callable(objective):\n", " z = objective(xs, ys)\n", "\n", " plt.xlim(0, max_x)\n", " plt.ylim(0, max_y)\n", " plt.xlabel('x')\n", " plt.ylabel('y')\n", "\n", " plt.legend()\n", " plt.scatter(xs, ys, c=z, cmap='jet', zorder=3, edgecolor='') \n", " bar = plt.colorbar()\n", " bar.set_label('Wartość f. celu')\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiEAAAF5CAYAAABJIvqAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotLP([{'x':1, 'y':1, 'dir' : '<=', 'rhs':8, 'label' : 'x+y<=8'}, \n", " {'x':2, 'y':1, 'dir' : '<=', 'rhs':10, 'label' : '2x+y<=10'},\n", " {'x':1, 'y':0, 'dir' : '<=', 'rhs':4, 'label' : 'x <= 4'}], \n", " {'x' : 5000, 'y' : 3000}, 200)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAF5CAYAAADK5sO7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZKqGSQkSVK1fwB7Q+wv0OsPAQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotLP([{'x':1, 'y':1, 'dir' : '<=', 'rhs':8, 'label' : 'x+y<=8'}, \n", " {'x':2, 'y':1, 'dir' : '<=', 'rhs':10, 'label' : '2x+y<=10'},\n", " {'x':1, 'y':0, 'dir' : '<=', 'rhs':4, 'label' : 'x <= 4'}], \n", " lambda x,y: 30*x - 5*x*x + 20*y - 4*y*y, 200)" ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }