模拟退火的板材排版C#代码
时间: 2023-10-19 22:14:45 浏览: 24
以下是一个简单的模拟退火板材排版的C#代码示例:
```csharp
using System;
using System.Collections.Generic;
namespace SimulatedAnnealing
{
public class Board
{
private int width;
private int height;
private List<Rectangle> rectangles;
public Board(int width, int height)
{
this.width = width;
this.height = height;
this.rectangles = new List<Rectangle>();
}
public void AddRectangle(Rectangle rectangle)
{
rectangles.Add(rectangle);
}
public bool Overlap(Rectangle rectangle)
{
foreach (Rectangle r in rectangles)
{
if (r.Intersect(rectangle))
{
return true;
}
}
return false;
}
public int GetArea()
{
int area = 0;
foreach (Rectangle r in rectangles)
{
area += r.GetArea();
}
return area;
}
public void Print()
{
Console.WriteLine("Board ({0}, {1})", width, height);
foreach (Rectangle r in rectangles)
{
Console.WriteLine("Rectangle ({0}, {1})", r.Width, r.Height);
}
}
}
public class Rectangle
{
private int width;
private int height;
private int x;
private int y;
public Rectangle(int width, int height, int x, int y)
{
this.width = width;
this.height = height;
this.x = x;
this.y = y;
}
public int Width
{
get { return width; }
}
public int Height
{
get { return height; }
}
public int X
{
get { return x; }
}
public int Y
{
get { return y; }
}
public bool Intersect(Rectangle rectangle)
{
if (x + width <= rectangle.X || rectangle.X + rectangle.Width <= x || y + height <= rectangle.Y || rectangle.Y + rectangle.Height <= y)
{
return false;
}
return true;
}
public int GetArea()
{
return width * height;
}
}
public class SimulatedAnnealing
{
private double temperature;
private double coolingRate;
private double minTemperature;
public SimulatedAnnealing(double temperature, double coolingRate, double minTemperature)
{
this.temperature = temperature;
this.coolingRate = coolingRate;
this.minTemperature = minTemperature;
}
public Board Anneal(Board board)
{
while (temperature > minTemperature)
{
Rectangle r = GenerateRandomRectangle(board);
int currentArea = board.GetArea();
if (!board.Overlap(r))
{
board.AddRectangle(r);
int newArea = board.GetArea();
int delta = newArea - currentArea;
if (delta < 0)
{
// Accept the new solution
}
else
{
double probability = Math.Exp(-delta / temperature);
if (probability > new Random().NextDouble())
{
// Accept the new solution
}
else
{
// Reject the new solution
board.RemoveRectangle(r);
}
}
}
temperature *= coolingRate;
}
return board;
}
private Rectangle GenerateRandomRectangle(Board board)
{
int width = new Random().Next(1, board.Width + 1);
int height = new Random().Next(1, board.Height + 1);
int x = new Random().Next(0, board.Width - width + 1);
int y = new Random().Next(0, board.Height - height + 1);
return new Rectangle(width, height, x, y);
}
}
class Program
{
static void Main(string[] args)
{
// Create a board with dimensions 10 x 10
Board board = new Board(10, 10);
// Create a simulated annealing object with initial temperature 1000,
// cooling rate 0.95, and minimum temperature 1
SimulatedAnnealing annealing = new SimulatedAnnealing(1000, 0.95, 1);
// Run the simulated annealing algorithm to find a good placement of rectangles on the board
Board bestBoard = annealing.Anneal(board);
// Print the final placement of rectangles on the board
bestBoard.Print();
Console.ReadKey();
}
}
}
```
这个示例中定义了一个 `Board` 类表示板材,一个 `Rectangle` 类表示矩形,以及一个 `SimulatedAnnealing` 类表示模拟退火算法。在 `SimulatedAnnealing` 类中实现了模拟退火算法的主要逻辑,包括生成随机矩形、计算面积、判断重叠、更新解等操作。在 `Main` 函数中创建了一个 `Board` 对象,并使用 `SimulatedAnnealing` 对象运行模拟退火算法来找到最佳的矩形排布方案。最后输出了结果。