132 lines
4.0 KiB
Plaintext
132 lines
4.0 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "google",
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"metadata": {},
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"source": [
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"##### Copyright 2022 Google LLC."
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]
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},
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{
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"cell_type": "markdown",
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"id": "apache",
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"metadata": {},
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"source": [
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"Licensed under the Apache License, Version 2.0 (the \"License\");\n",
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"you may not use this file except in compliance with the License.\n",
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"You may obtain a copy of the License at\n",
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"\n",
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" http://www.apache.org/licenses/LICENSE-2.0\n",
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"\n",
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"Unless required by applicable law or agreed to in writing, software\n",
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"distributed under the License is distributed on an \"AS IS\" BASIS,\n",
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"WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
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"See the License for the specific language governing permissions and\n",
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"limitations under the License.\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "basename",
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"metadata": {},
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"source": [
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"# non_linear_sat"
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]
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},
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{
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"cell_type": "markdown",
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"id": "link",
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"metadata": {},
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"source": [
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"<table align=\"left\">\n",
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"<td>\n",
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"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/main/examples/notebook/sat/non_linear_sat.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
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"</td>\n",
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"<td>\n",
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"<a href=\"https://github.com/google/or-tools/blob/main/ortools/sat/samples/non_linear_sat.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/github_32px.png\"/>View source on GitHub</a>\n",
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"</td>\n",
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"</table>"
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]
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},
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{
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"cell_type": "markdown",
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"id": "doc",
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"metadata": {},
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"source": [
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"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "install",
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"metadata": {},
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"outputs": [],
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"source": [
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"!pip install ortools"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "code",
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"metadata": {},
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"outputs": [],
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"source": [
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"#!/usr/bin/env python3\n",
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"# Copyright 2010-2022 Google LLC\n",
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"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
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"# you may not use this file except in compliance with the License.\n",
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"# You may obtain a copy of the License at\n",
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"#\n",
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"# http://www.apache.org/licenses/LICENSE-2.0\n",
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"#\n",
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"# Unless required by applicable law or agreed to in writing, software\n",
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"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
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"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
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"# See the License for the specific language governing permissions and\n",
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"# limitations under the License.\n",
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"\n",
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"# Finds a rectangle with maximum available area for given perimeter\n",
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"# using AddMultiplicationEquality\n",
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"\n",
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"from ortools.sat.python import cp_model\n",
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"\n",
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"\n",
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"def NonLinearSat():\n",
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" perimeter = 20\n",
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"\n",
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" model = cp_model.CpModel()\n",
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"\n",
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" x = model.NewIntVar(0, perimeter, \"x\")\n",
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" y = model.NewIntVar(0, perimeter, \"y\")\n",
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" model.Add(2 * (x + y) == perimeter)\n",
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"\n",
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" area = model.NewIntVar(0, perimeter * perimeter, \"s\")\n",
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" model.AddMultiplicationEquality(area, x, y)\n",
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"\n",
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" model.Maximize(area)\n",
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"\n",
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" solver = cp_model.CpSolver()\n",
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"\n",
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" status = solver.Solve(model)\n",
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"\n",
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" if status == cp_model.OPTIMAL or status == cp_model.FEASIBLE:\n",
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" print('x = %i' % solver.Value(x))\n",
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" print('y = %i' % solver.Value(y))\n",
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" print('s = %i' % solver.Value(area))\n",
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" else:\n",
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" print('No solution found.')\n",
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"\n",
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"\n",
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"NonLinearSat()\n",
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"\n"
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]
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}
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],
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"metadata": {},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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