实例介绍
【实例简介】
切管软件,最大减少费材
【实例截图】

【核心代码】
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Runtime.InteropServices;
namespace PipeCuttingDLL
{
public interface IPipeCutting
{
int addTest(int x, int y);
string myPipeCutting(string standardLens,string requiredLens);
}
[ClassInterface(ClassInterfaceType.None)]
public class PipeCuttingClass : IPipeCutting
{
public class PipeCuttingOptimizer
{
// 精度控制,避免浮点数比较问题
private const double Tolerance = 0.0001;
public List<CuttingPlan> OptimizeCutting(List<double> standardLengths, List<double> requiredLengths)
{
// 验证输入
if (standardLengths == null || !standardLengths.Any())
throw new ArgumentException("标准管件长度列表不能为空");
if (requiredLengths == null || !requiredLengths.Any())
throw new ArgumentException("需求管件长度列表不能为空");
if (requiredLengths.Any(r => r <= 0))
throw new ArgumentException("需求管件长度必须大于0");
if (standardLengths.Any(s => s <= 0))
throw new ArgumentException("标准管件长度必须大于0");
// 先处理需求长度,按从大到小排序
requiredLengths = requiredLengths.OrderByDescending(l => l).ToList();
standardLengths = standardLengths.OrderBy(l => l).ToList();
List<CuttingPlan> result = new List<CuttingPlan>();
List<double> remainingRequirements = new List<double>(requiredLengths);
while (remainingRequirements.Count > 0)
{
// 找出最适合当前剩余需求的管材
var bestFit = FindBestFit(standardLengths, remainingRequirements);
result.Add(bestFit);
// 从剩余需求中移除已满足的部分
foreach (var cut in bestFit.Cuts)
{
// 使用近似比较来处理浮点数精度问题
var index = remainingRequirements.FindIndex(r => Math.Abs(r - cut) < Tolerance);
if (index >= 0)
{
remainingRequirements.RemoveAt(index);
}
}
}
return result;
}
private CuttingPlan FindBestFit(List<double> standardLengths, List<double> requiredLengths)
{
// 找出所有可能的切割组合
var allCombinations = GenerateCombinations(standardLengths.Max(), requiredLengths);
if (!allCombinations.Any())
{
throw new InvalidOperationException("无法找到合适的切割方案,可能有需求长度超过最大标准管件长度");
}
// 找出浪费最少的组合
var bestCombination = allCombinations.OrderBy(c => c.Waste).First();
// 找出最适合的标准管材长度
double bestPipeLength = standardLengths
.Where(l => l >= bestCombination.TotalLength || Math.Abs(l - bestCombination.TotalLength) < Tolerance)
.OrderBy(l => l - bestCombination.TotalLength)
.First();
return new CuttingPlan
{
PipeLength = bestPipeLength,
Cuts = bestCombination.Cuts,
Waste = bestPipeLength - bestCombination.TotalLength
};
}
private List<CuttingCombination> GenerateCombinations(double maxPipeLength, List<double> requiredLengths)
{
List<CuttingCombination> result = new List<CuttingCombination>();
GenerateCombinationsHelper(requiredLengths, maxPipeLength, new List<double>(), 0, result);
// 如果没有找到任何组合(可能因为单个需求就超过最大管长)
if (!result.Any() && requiredLengths.Any())
{
// 尝试只取第一个需求(虽然会浪费很多)
if (requiredLengths[0] <= maxPipeLength)
{
result.Add(new CuttingCombination
{
Cuts = new List<double> { requiredLengths[0] },
TotalLength = requiredLengths[0],
Waste = maxPipeLength - requiredLengths[0]
});
}
}
return result;
}
private void GenerateCombinationsHelper(List<double> requiredLengths, double maxLength,
List<double> currentCombination, int startIndex, List<CuttingCombination> result)
{
double currentTotal = currentCombination.Sum();
// 如果当前组合的总长度超过了管材最大长度(考虑浮点精度),则返回
if (currentTotal > maxLength && Math.Abs(currentTotal - maxLength) > Tolerance)
{
return;
}
// 如果当前组合不为空,添加到结果中
if (currentCombination.Count > 0)
{
result.Add(new CuttingCombination
{
Cuts = new List<double>(currentCombination),
TotalLength = currentTotal,
Waste = maxLength - currentTotal
});
}
// 递归生成所有可能的组合
for (int i = startIndex; i < requiredLengths.Count; i )
{
// 跳过会导致总长度超过管长的需求
if (currentTotal requiredLengths[i] > maxLength &&
Math.Abs(currentTotal requiredLengths[i] - maxLength) > Tolerance)
{
continue;
}
currentCombination.Add(requiredLengths[i]);
GenerateCombinationsHelper(requiredLengths, maxLength, currentCombination, i 1, result);
currentCombination.RemoveAt(currentCombination.Count - 1);
}
}
}
public class CuttingPlan
{
public double PipeLength { get; set; }
public List<double> Cuts { get; set; }
public double Waste { get; set; }
// public override string ToString()
// {
// return $"使用{PipeLength:F2}管材切割: {string.Join(", ", Cuts.Select(c => c.ToString("F2")))} (浪费: {Waste:F2})";
// }
public override string ToString()
{
return $"使用 {PipeLength} 切割: {string.Join(", ", Cuts.Select(c => c.ToString()))} (浪费: {Waste:F2})";
}
}
public class CuttingCombination
{
public List<double> Cuts { get; set; }
public double TotalLength { get; set; }
public double Waste { get; set; }
}
public int addTest(int x, int y)
{
return x y;
}
public string myPipeCutting(string standardLens, string requiredLens)
{
var optimizer = new PipeCuttingOptimizer();
try
{
// 标准管材长度(带小数)
List<double> standardLengths = new List<double>(
Array.ConvertAll(standardLens.Split(','), s => double.Parse(s.Trim()))
);
// 客户需求长度(带小数)
List<double> requiredLengths = new List<double>(
Array.ConvertAll(requiredLens.Split(','), s => double.Parse(s.Trim()))
);
//List<double> standardLengths = new List<double> { 107, 113, 103, 76, 117, 120, 112 };
// 客户需求长度(带小数)
// List<double> requiredLengths = new List<double> { 36, 36, 36, 36, 36, 39, 39, 43, 43, 37, 45, 45, 42, 42, 42, 42, 42, 45.5, 45.5, 49.5, 49.5, 33, 33, 27.5, 27.5, 27.5, 32, 32, 35.5, 35.5 };
var plans = optimizer.OptimizeCutting(standardLengths, requiredLengths);
String str = "" ;
// Console.WriteLine("最优切割方案:");
foreach (var plan in plans)
{
// Console.WriteLine(plan);
str = str plan Environment.NewLine;
}
str = str Environment.NewLine;
str = str $"总浪费: {plans.Sum(p => p.Waste):F2}" Environment.NewLine;
str = str $"使用管材数量: {plans.Count}根" Environment.NewLine;
// Console.WriteLine($"总浪费: {plans.Sum(p => p.Waste):F2}");
// Console.WriteLine($"使用管材数量: {plans.Count}根");
// Console.ReadKey();
return str;
}
catch (Exception ex)
{
// Console.WriteLine($"发生错误: {ex.Message}");
return ex.Message;
}
}
}
}
切管软件,最大减少费材
【实例截图】

【核心代码】
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Runtime.InteropServices;
namespace PipeCuttingDLL
{
public interface IPipeCutting
{
int addTest(int x, int y);
string myPipeCutting(string standardLens,string requiredLens);
}
[ClassInterface(ClassInterfaceType.None)]
public class PipeCuttingClass : IPipeCutting
{
public class PipeCuttingOptimizer
{
// 精度控制,避免浮点数比较问题
private const double Tolerance = 0.0001;
public List<CuttingPlan> OptimizeCutting(List<double> standardLengths, List<double> requiredLengths)
{
// 验证输入
if (standardLengths == null || !standardLengths.Any())
throw new ArgumentException("标准管件长度列表不能为空");
if (requiredLengths == null || !requiredLengths.Any())
throw new ArgumentException("需求管件长度列表不能为空");
if (requiredLengths.Any(r => r <= 0))
throw new ArgumentException("需求管件长度必须大于0");
if (standardLengths.Any(s => s <= 0))
throw new ArgumentException("标准管件长度必须大于0");
// 先处理需求长度,按从大到小排序
requiredLengths = requiredLengths.OrderByDescending(l => l).ToList();
standardLengths = standardLengths.OrderBy(l => l).ToList();
List<CuttingPlan> result = new List<CuttingPlan>();
List<double> remainingRequirements = new List<double>(requiredLengths);
while (remainingRequirements.Count > 0)
{
// 找出最适合当前剩余需求的管材
var bestFit = FindBestFit(standardLengths, remainingRequirements);
result.Add(bestFit);
// 从剩余需求中移除已满足的部分
foreach (var cut in bestFit.Cuts)
{
// 使用近似比较来处理浮点数精度问题
var index = remainingRequirements.FindIndex(r => Math.Abs(r - cut) < Tolerance);
if (index >= 0)
{
remainingRequirements.RemoveAt(index);
}
}
}
return result;
}
private CuttingPlan FindBestFit(List<double> standardLengths, List<double> requiredLengths)
{
// 找出所有可能的切割组合
var allCombinations = GenerateCombinations(standardLengths.Max(), requiredLengths);
if (!allCombinations.Any())
{
throw new InvalidOperationException("无法找到合适的切割方案,可能有需求长度超过最大标准管件长度");
}
// 找出浪费最少的组合
var bestCombination = allCombinations.OrderBy(c => c.Waste).First();
// 找出最适合的标准管材长度
double bestPipeLength = standardLengths
.Where(l => l >= bestCombination.TotalLength || Math.Abs(l - bestCombination.TotalLength) < Tolerance)
.OrderBy(l => l - bestCombination.TotalLength)
.First();
return new CuttingPlan
{
PipeLength = bestPipeLength,
Cuts = bestCombination.Cuts,
Waste = bestPipeLength - bestCombination.TotalLength
};
}
private List<CuttingCombination> GenerateCombinations(double maxPipeLength, List<double> requiredLengths)
{
List<CuttingCombination> result = new List<CuttingCombination>();
GenerateCombinationsHelper(requiredLengths, maxPipeLength, new List<double>(), 0, result);
// 如果没有找到任何组合(可能因为单个需求就超过最大管长)
if (!result.Any() && requiredLengths.Any())
{
// 尝试只取第一个需求(虽然会浪费很多)
if (requiredLengths[0] <= maxPipeLength)
{
result.Add(new CuttingCombination
{
Cuts = new List<double> { requiredLengths[0] },
TotalLength = requiredLengths[0],
Waste = maxPipeLength - requiredLengths[0]
});
}
}
return result;
}
private void GenerateCombinationsHelper(List<double> requiredLengths, double maxLength,
List<double> currentCombination, int startIndex, List<CuttingCombination> result)
{
double currentTotal = currentCombination.Sum();
// 如果当前组合的总长度超过了管材最大长度(考虑浮点精度),则返回
if (currentTotal > maxLength && Math.Abs(currentTotal - maxLength) > Tolerance)
{
return;
}
// 如果当前组合不为空,添加到结果中
if (currentCombination.Count > 0)
{
result.Add(new CuttingCombination
{
Cuts = new List<double>(currentCombination),
TotalLength = currentTotal,
Waste = maxLength - currentTotal
});
}
// 递归生成所有可能的组合
for (int i = startIndex; i < requiredLengths.Count; i )
{
// 跳过会导致总长度超过管长的需求
if (currentTotal requiredLengths[i] > maxLength &&
Math.Abs(currentTotal requiredLengths[i] - maxLength) > Tolerance)
{
continue;
}
currentCombination.Add(requiredLengths[i]);
GenerateCombinationsHelper(requiredLengths, maxLength, currentCombination, i 1, result);
currentCombination.RemoveAt(currentCombination.Count - 1);
}
}
}
public class CuttingPlan
{
public double PipeLength { get; set; }
public List<double> Cuts { get; set; }
public double Waste { get; set; }
// public override string ToString()
// {
// return $"使用{PipeLength:F2}管材切割: {string.Join(", ", Cuts.Select(c => c.ToString("F2")))} (浪费: {Waste:F2})";
// }
public override string ToString()
{
return $"使用 {PipeLength} 切割: {string.Join(", ", Cuts.Select(c => c.ToString()))} (浪费: {Waste:F2})";
}
}
public class CuttingCombination
{
public List<double> Cuts { get; set; }
public double TotalLength { get; set; }
public double Waste { get; set; }
}
public int addTest(int x, int y)
{
return x y;
}
public string myPipeCutting(string standardLens, string requiredLens)
{
var optimizer = new PipeCuttingOptimizer();
try
{
// 标准管材长度(带小数)
List<double> standardLengths = new List<double>(
Array.ConvertAll(standardLens.Split(','), s => double.Parse(s.Trim()))
);
// 客户需求长度(带小数)
List<double> requiredLengths = new List<double>(
Array.ConvertAll(requiredLens.Split(','), s => double.Parse(s.Trim()))
);
//List<double> standardLengths = new List<double> { 107, 113, 103, 76, 117, 120, 112 };
// 客户需求长度(带小数)
// List<double> requiredLengths = new List<double> { 36, 36, 36, 36, 36, 39, 39, 43, 43, 37, 45, 45, 42, 42, 42, 42, 42, 45.5, 45.5, 49.5, 49.5, 33, 33, 27.5, 27.5, 27.5, 32, 32, 35.5, 35.5 };
var plans = optimizer.OptimizeCutting(standardLengths, requiredLengths);
String str = "" ;
// Console.WriteLine("最优切割方案:");
foreach (var plan in plans)
{
// Console.WriteLine(plan);
str = str plan Environment.NewLine;
}
str = str Environment.NewLine;
str = str $"总浪费: {plans.Sum(p => p.Waste):F2}" Environment.NewLine;
str = str $"使用管材数量: {plans.Count}根" Environment.NewLine;
// Console.WriteLine($"总浪费: {plans.Sum(p => p.Waste):F2}");
// Console.WriteLine($"使用管材数量: {plans.Count}根");
// Console.ReadKey();
return str;
}
catch (Exception ex)
{
// Console.WriteLine($"发生错误: {ex.Message}");
return ex.Message;
}
}
}
}
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