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Matlab和C#混合编程文章目录 :【目录】Matlab和C#混合编程文章目录
在我的上一篇文章【原创】Matlab.NET混编技巧之——找出Matlab内置函数中,已经大概的介绍了matlab内置函数在混合编程中的优点,并通过程序找出了matlab中的大部分内置函数,当然更多人关心是如何像我所说得那样,不用直接编译,就直接在C#中调用这些内置函数。本文就带你揭开这些谜团。
声明,这篇文章是需要一点点混合编程基础的,基本概念和过程要懂一点,如果能简单成功混编一个简单的计算或者绘图例子,可以更容易理解。
1.传统的Matlab.NET混合编程步骤
传统的Matlab.NET混合编程有2种方式:
1)Matlab编写好M函数,利用deploytool编译m函数生成dll,在C#项目中引用并调用;
2)基于接口的编写方式,也是利用deploytool工具,过程繁琐一点,对编程人员素质要求高一点,但不需要进行繁琐的数据类型转换。我的博客有一篇文章专门介绍了这个混合编程方式,也有例子,大家有兴趣的可以看看:http://www.cnblogs.com/asxinyu/archive/2013/05/16/3082299.html
不管上面用哪种方式,Matlab和C#混编的基本步骤,大概都是下面的过程:
1) 编写M函数,并首先在Matlab中测试是正确可以调用的。注意命名规范,注释规范;
2) 使用命令打开 deploytool工具,设置项目名称,选择类型:.NET Assembly,然后新建一个类,并添加编写好的M函数
3) 编译,生成dll,并在C#项目中添加引用(还需要引用对应版本的MWArray),利用对象浏览器查看生成dll的方法结构,并根据Matlab和C#的类型转换规则,进行数据转换即可, 如果是接口的编程,这个过程相对要简单。
2.深入解析传统混编所生成的代码
2.1 第一步:编写M函数,并测试可以使用
为了好我们今天的目的相匹配,特意封装一个简单的内置函数,plot,来画一个简单的图形,如下所示M函数
1 function PlotTest(n) 2 %编写一个简单的函数,对plot进行简单封装一下 3 plot(1:n,1:n); 4 %测试正确,才可以进行下一步工作
注意,混编必须是m函数function的形式才能被调用。上述函数简单测试一下,没有问题(复杂的函数一定要多测试,否则后续调试非常困难)。继续下一步。
2.2 第二步:在Matlab中使用deploytool建立混编项目
在Matlab工作区输入命令:deploytool,然后得到下面界面,输入混编项目的名称,选择存储位置,关键的是类型那里一定要选择".NET Assembly"。如下图所示:
选择“OK”之后,下一步matlab界面右侧会出现项目解决方案,需要添加类名称和M文件。这个类名称,就是编译完成之后C#项目中的类对象名称,然后添加我们刚才上一步编写的“PlotTest.m”,然后编译即可,如下图所示:
到此为止,一个常规 简单的Matlab.NET混编已经完成了60%了。编译完成之后,打开“Package”选项卡,即可看到生成的dll文件,然后点击右键,打开文件夹即可,如下图所示:
2.3 查看混编生成的代码
这个过程很关键,其实包含很多信息,只不过95%以上的人都没有注意到其实混编生成的dll是有源文件的,通过查看源文件就应该知道混编的原理,只不过这是matlab自动生成 而已。那看看生成的源码吧。
打开Matlab混编项目的目录,可以看到有2个文件夹,"distrib”,“src”2个文件夹。"distrib"文件夹就是上面图中生成的dll,注意有2个dll,1个是“项目名称.dll”,一个是“项目名称Native.dll”,这2个dll的差别可以通过"distrib"文件夹源码来观察。“distrib”就是源代码的文件夹。如下图所示,src文件夹的文件示意图:
我们2.2中新建的类名是TestDemo,所以生成的的源码名称也是TestDemo,看看这2个cs文件中的代码,同时类的方法也可以在VS中通过对象浏览器来查看dll有哪些方法以及方法的参数类型。直接贴这2个cs文件的代码,顺便解释和对比下:
TestDemo.cs文件源码:
1 /* 2 * MATLAB Compiler: 4.17 (R2012a) 3 * Date: Mon Sep 09 16:19:01 2013 4 * Arguments: "-B" "macro_default" "-W" "dotnet:PlotTest,TestDemo,0.0,private" "-T" 5 * "link:lib" "-d" "D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest\src" "-w" 6 * "enable:specified_file_mismatch" "-w" "enable:repeated_file" "-w" 7 * "enable:switch_ignored" "-w" "enable:missing_lib_sentinel" "-w" "enable:demo_license" 8 * "-v" "class{TestDemo:D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest.m}" 9 */ 10 using System; 11 using System.Reflection; 12 using System.IO; 13 using MathWorks.MATLAB.NET.Arrays; 14 using MathWorks.MATLAB.NET.Utility; 15 16 #if SHARED 17 [assembly: System.Reflection.AssemblyKeyFile(@"")] 18 #endif 19 20 namespace PlotTest 21 { 22 23 ///24 /// The TestDemo class provides a CLS compliant, MWArray interface to the M-functions 25 /// contained in the files: 26 /// 27 /// D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest.m 28 /// 29 /// deployprint.m 30 /// 31 /// printdlg.m 32 /// 33 /// 34 /// @Version 0.0 35 /// 36 public class TestDemo : IDisposable 37 { 38 #region Constructors 39 40 /// 41 /// The static constructor instantiates and initializes the MATLAB Compiler Runtime 42 /// instance. 43 /// 44 static TestDemo() 45 { 46 if (MWMCR.MCRAppInitialized) 47 { 48 Assembly assembly= Assembly.GetExecutingAssembly(); 49 50 string ctfFilePath= assembly.Location; 51 52 int lastDelimiter= ctfFilePath.LastIndexOf(@"\"); 53 54 ctfFilePath= ctfFilePath.Remove(lastDelimiter, (ctfFilePath.Length - lastDelimiter)); 55 56 string ctfFileName = "PlotTest.ctf"; 57 58 Stream embeddedCtfStream = null; 59 60 String[] resourceStrings = assembly.GetManifestResourceNames(); 61 62 foreach (String name in resourceStrings) 63 { 64 if (name.Contains(ctfFileName)) 65 { 66 embeddedCtfStream = assembly.GetManifestResourceStream(name); 67 break; 68 } 69 } 70 mcr= new MWMCR("", 71 ctfFilePath, embeddedCtfStream, true); 72 } 73 else 74 { 75 throw new ApplicationException("MWArray assembly could not be initialized"); 76 } 77 } 78 79 80 /// 81 /// Constructs a new instance of the TestDemo class. 82 /// 83 public TestDemo() 84 { 85 } 86 87 88 #endregion Constructors 89 90 #region Finalize 91 92 /// 93 /// Class destructor called by the CLR garbage collector. 94 /// 95 ~TestDemo() 96 { 97 Dispose(false); 98 } 99 100 101 /// 102 /// Frees the native resources associated with this object 103 /// 104 public void Dispose() 105 { 106 Dispose(true); 107 108 GC.SuppressFinalize(this); 109 } 110 111 112 /// 113 /// Internal dispose function 114 /// 115 protected virtual void Dispose(bool disposing) 116 { 117 if (!disposed) 118 { 119 disposed= true; 120 121 if (disposing) 122 { 123 // Free managed resources; 124 } 125 126 // Free native resources 127 } 128 } 129 130 131 #endregion Finalize 132 133 #region Methods 134 135 /// 136 /// Provides a void output, 0-input MWArrayinterface to the PlotTest M-function. 137 /// 138 /// 139 /// M-Documentation: 140 /// 编写一个简单的函数,对plot进行简单封装一下 141 /// 142 /// 143 public void PlotTest() 144 { 145 mcr.EvaluateFunction(0, "PlotTest", new MWArray[]{}); 146 } 147 148 149 /// 150 /// Provides a void output, 1-input MWArrayinterface to the PlotTest M-function. 151 /// 152 /// 153 /// M-Documentation: 154 /// 编写一个简单的函数,对plot进行简单封装一下 155 /// 156 /// Input argument #1 157 /// 158 public void PlotTest(MWArray n) 159 { 160 mcr.EvaluateFunction(0, "PlotTest", n); 161 } 162 163 164 /// 165 /// Provides the standard 0-input MWArray interface to the PlotTest M-function. 166 /// 167 /// 168 /// M-Documentation: 169 /// 编写一个简单的函数,对plot进行简单封装一下 170 /// 171 /// The number of output arguments to return. 172 /// An Array of length "numArgsOut" containing the output 173 /// arguments. 174 /// 175 public MWArray[] PlotTest(int numArgsOut) 176 { 177 return mcr.EvaluateFunction(numArgsOut, "PlotTest", new MWArray[]{}); 178 } 179 180 181 /// 182 /// Provides the standard 1-input MWArray interface to the PlotTest M-function. 183 /// 184 /// 185 /// M-Documentation: 186 /// 编写一个简单的函数,对plot进行简单封装一下 187 /// 188 /// The number of output arguments to return. 189 /// Input argument #1 190 /// An Array of length "numArgsOut" containing the output 191 /// arguments. 192 /// 193 public MWArray[] PlotTest(int numArgsOut, MWArray n) 194 { 195 return mcr.EvaluateFunction(numArgsOut, "PlotTest", n); 196 } 197 198 199 200 /// 201 /// This method will cause a MATLAB figure window to behave as a modal dialog box. 202 /// The method will not return until all the figure windows associated with this 203 /// component have been closed. 204 /// 205 /// 206 /// An application should only call this method when required to keep the 207 /// MATLAB figure window from disappearing. Other techniques, such as calling 208 /// Console.ReadLine() from the application should be considered where 209 /// possible. 210 /// 211 public void WaitForFiguresToDie() 212 { 213 mcr.WaitForFiguresToDie(); 214 } 215 216 217 218 #endregion Methods 219 220 #region Class Members 221 222 private static MWMCR mcr= null; 223 224 private bool disposed= false; 225 226 #endregion Class Members 227 } 228 }
TestDemoNative.cs文件源码:
1 /* 2 * MATLAB Compiler: 4.17 (R2012a) 3 * Date: Mon Sep 09 16:19:01 2013 4 * Arguments: "-B" "macro_default" "-W" "dotnet:PlotTest,TestDemo,0.0,private" "-T" 5 * "link:lib" "-d" "D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest\src" "-w" 6 * "enable:specified_file_mismatch" "-w" "enable:repeated_file" "-w" 7 * "enable:switch_ignored" "-w" "enable:missing_lib_sentinel" "-w" "enable:demo_license" 8 * "-v" "class{TestDemo:D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest.m}" 9 */ 10 using System; 11 using System.Reflection; 12 using System.IO; 13 using MathWorks.MATLAB.NET.Arrays; 14 using MathWorks.MATLAB.NET.Utility; 15 16 #if SHARED 17 [assembly: System.Reflection.AssemblyKeyFile(@"")] 18 #endif 19 20 namespace PlotTestNative 21 { 22 23 ///24 /// The TestDemo class provides a CLS compliant, Object (native) interface to the 25 /// M-functions contained in the files: 26 /// 27 /// D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest.m 28 /// 29 /// deployprint.m 30 /// 31 /// printdlg.m 32 /// 33 /// 34 /// @Version 0.0 35 /// 36 public class TestDemo : IDisposable 37 { 38 #region Constructors 39 40 /// 41 /// The static constructor instantiates and initializes the MATLAB Compiler Runtime 42 /// instance. 43 /// 44 static TestDemo() 45 { 46 if (MWMCR.MCRAppInitialized) 47 { 48 Assembly assembly= Assembly.GetExecutingAssembly(); 49 50 string ctfFilePath= assembly.Location; 51 52 int lastDelimiter= ctfFilePath.LastIndexOf(@"\"); 53 54 ctfFilePath= ctfFilePath.Remove(lastDelimiter, (ctfFilePath.Length - lastDelimiter)); 55 56 string ctfFileName = "PlotTest.ctf"; 57 58 Stream embeddedCtfStream = null; 59 60 String[] resourceStrings = assembly.GetManifestResourceNames(); 61 62 foreach (String name in resourceStrings) 63 { 64 if (name.Contains(ctfFileName)) 65 { 66 embeddedCtfStream = assembly.GetManifestResourceStream(name); 67 break; 68 } 69 } 70 mcr= new MWMCR("", 71 ctfFilePath, embeddedCtfStream, true); 72 } 73 else 74 { 75 throw new ApplicationException("MWArray assembly could not be initialized"); 76 } 77 } 78 79 80 /// 81 /// Constructs a new instance of the TestDemo class. 82 /// 83 public TestDemo() 84 { 85 } 86 87 88 #endregion Constructors 89 90 #region Finalize 91 92 /// 93 /// Class destructor called by the CLR garbage collector. 94 /// 95 ~TestDemo() 96 { 97 Dispose(false); 98 } 99 100 101 /// 102 /// Frees the native resources associated with this object 103 /// 104 public void Dispose() 105 { 106 Dispose(true); 107 108 GC.SuppressFinalize(this); 109 } 110 111 112 /// 113 /// Internal dispose function 114 /// 115 protected virtual void Dispose(bool disposing) 116 { 117 if (!disposed) 118 { 119 disposed= true; 120 121 if (disposing) 122 { 123 // Free managed resources; 124 } 125 126 // Free native resources 127 } 128 } 129 130 131 #endregion Finalize 132 133 #region Methods 134 135 /// 136 /// Provides a void output, 0-input Objectinterface to the PlotTest M-function. 137 /// 138 /// 139 /// M-Documentation: 140 /// 编写一个简单的函数,对plot进行简单封装一下 141 /// 142 /// 143 public void PlotTest() 144 { 145 mcr.EvaluateFunction(0, "PlotTest", new Object[]{}); 146 } 147 148 149 /// 150 /// Provides a void output, 1-input Objectinterface to the PlotTest M-function. 151 /// 152 /// 153 /// M-Documentation: 154 /// 编写一个简单的函数,对plot进行简单封装一下 155 /// 156 /// Input argument #1 157 /// 158 public void PlotTest(Object n) 159 { 160 mcr.EvaluateFunction(0, "PlotTest", n); 161 } 162 163 164 /// 165 /// Provides the standard 0-input Object interface to the PlotTest M-function. 166 /// 167 /// 168 /// M-Documentation: 169 /// 编写一个简单的函数,对plot进行简单封装一下 170 /// 171 /// The number of output arguments to return. 172 /// An Array of length "numArgsOut" containing the output 173 /// arguments. 174 /// 175 public Object[] PlotTest(int numArgsOut) 176 { 177 return mcr.EvaluateFunction(numArgsOut, "PlotTest", new Object[]{}); 178 } 179 180 181 /// 182 /// Provides the standard 1-input Object interface to the PlotTest M-function. 183 /// 184 /// 185 /// M-Documentation: 186 /// 编写一个简单的函数,对plot进行简单封装一下 187 /// 188 /// The number of output arguments to return. 189 /// Input argument #1 190 /// An Array of length "numArgsOut" containing the output 191 /// arguments. 192 /// 193 public Object[] PlotTest(int numArgsOut, Object n) 194 { 195 return mcr.EvaluateFunction(numArgsOut, "PlotTest", n); 196 } 197 198 199 /// 200 /// Provides an interface for the PlotTest function in which the input and output 201 /// arguments are specified as an array of Objects. 202 /// 203 /// 204 /// This method will allocate and return by reference the output argument 205 /// array. 206 /// M-Documentation: 207 /// 编写一个简单的函数,对plot进行简单封装一下 208 /// 209 /// The number of output arguments to return 210 /// Array of Object output arguments 211 /// Array of Object input arguments 212 /// Array of Object representing variable input 213 /// arguments 214 /// 215 [MATLABSignature("PlotTest", 1, 0, 0)] 216 protected void PlotTest(int numArgsOut, ref Object[] argsOut, Object[] argsIn, params Object[] varArgsIn) 217 { 218 mcr.EvaluateFunctionForTypeSafeCall("PlotTest", numArgsOut, ref argsOut, argsIn, varArgsIn); 219 } 220 221 /// 222 /// This method will cause a MATLAB figure window to behave as a modal dialog box. 223 /// The method will not return until all the figure windows associated with this 224 /// component have been closed. 225 /// 226 /// 227 /// An application should only call this method when required to keep the 228 /// MATLAB figure window from disappearing. Other techniques, such as calling 229 /// Console.ReadLine() from the application should be considered where 230 /// possible. 231 /// 232 public void WaitForFiguresToDie() 233 { 234 mcr.WaitForFiguresToDie(); 235 } 236 237 238 239 #endregion Methods 240 241 #region Class Members 242 243 private static MWMCR mcr= null; 244 245 private bool disposed= false; 246 247 #endregion Class Members 248 } 249 }
对比大家就可以发现,只不过一个更加傻瓜化,参数都是Object了,其实这样反而不好,增加了类型转换的代价,如果知道,为何不给一个正确的给他呢。关于这2个dll的速度,曾经听说过是有差别的,博客园有人给过测试,我没实际测试过,还是习惯用传统的TestDemo.cs,因为参数类型都是Object,不直观,出了问题也有点头疼。
2.4 上述Matlab自动生成代码的要点
后面某些类或者方法的XML注释就不说了,自动生成的东西,可以对照M文件的注释来看。
1.首先看第一段的注释信息:
1 /* 2 * MATLAB Compiler: 4.17 (R2012a) 3 * Date: Mon Sep 09 16:19:01 2013 4 * Arguments: "-B" "macro_default" "-W" "dotnet:PlotTest,TestDemo,0.0,private" "-T" 5 * "link:lib" "-d" "D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest\src" "-w" 6 * "enable:specified_file_mismatch" "-w" "enable:repeated_file" "-w" 7 * "enable:switch_ignored" "-w" "enable:missing_lib_sentinel" "-w" "enable:demo_license" 8 * "-v" "class{TestDemo:D:\Work\DevelopMent_SVN\Matlab\MatlabBlog\PlotTest.m}" 9 */ 10 using System; 11 using System.Reflection; 12 using System.IO; 13 using MathWorks.MATLAB.NET.Arrays; 14 using MathWorks.MATLAB.NET.Utility;
上面这段信息主要是说明当前Matlab编译器的版本,因为编译的版本和部署的MCR版本必须对应起来,否则是不能运行的。然后有编译日期,以及编译的参数,类名以及M函数的地址等信息,其实知道这些参数,理论上是可以自己在程序里面调用Matlab的编译器进行编译工作的,只不过比较复杂,能力有限,研究不下去。下面的引用大家应该明白,这个是MWArray.dll里面的命名空间,所以混编的项目都要引用对应版本的MWArray.dll
2.关键的静态构造函数
1 static TestDemo() 2 { 3 if (MWMCR.MCRAppInitialized) 4 { 5 Assembly assembly= Assembly.GetExecutingAssembly(); 6 string ctfFilePath= assembly.Location; 7 int lastDelimiter= ctfFilePath.LastIndexOf(@"\"); 8 ctfFilePath= ctfFilePath.Remove(lastDelimiter, (ctfFilePath.Length - lastDelimiter)); 9 string ctfFileName = "PlotTest.ctf"; 10 Stream embeddedCtfStream = null; 11 String[] resourceStrings = assembly.GetManifestResourceNames(); 12 foreach (String name in resourceStrings) 13 { 14 if (name.Contains(ctfFileName)) 15 { 16 embeddedCtfStream = assembly.GetManifestResourceStream(name); 17 break; 18 } 19 } 20 mcr= new MWMCR("",ctfFilePath, embeddedCtfStream, true); 21 } 22 else 23 { 24 throw new ApplicationException("MWArray assembly could not be initialized"); 25 } 26 }
如果有一些C#的开发和编程经验看上面的代码问题应该不大,否则还真有点难说清楚,简单的说几个要点:
1)这个构造函数的作用主要是检测MCR对象是否初始化,如果没有,则寻找程序集,并拼接资源的位置,正确进行初始化
2) 上面的ctf其实是包含在dll程序集里面的,以资源的形式,这个文件是核心,它才真正的包括了Matlab编译之后的,MCR可以运行的中间程序。
3) 必须要合法正确的ctf文件和dll文件才能 正确的初始化mcr对象,合法的意思,是Matlab内部有校验机制,包括对相关版本,在以前的版本生成文件中,很明显,现在2012a里面都隐藏起来了,不过要求都一样。
4) 上面方法其实已经间接的告诉了我们怎么初始化mcr对象,有了mcr对象,一切都好办了,因为它才是MCR的核心。
3.PlotTest封装的方法代码
1 public void PlotTest() 2 { 3 mcr.EvaluateFunction(0, "PlotTest", new MWArray[]{}); 4 } 5 public void PlotTest(MWArray n) 6 { 7 mcr.EvaluateFunction(0, "PlotTest", n); 8 } 9 public MWArray[] PlotTest(int numArgsOut) 10 { 11 return mcr.EvaluateFunction(numArgsOut, "PlotTest", new MWArray[]{}); 12 } 13 public MWArray[] PlotTest(int numArgsOut, MWArray n) 14 { 15 return mcr.EvaluateFunction(numArgsOut, "PlotTest", n); 16 }
看了字段代码,再对应mcr的初始化,其实都很明朗了。通过mcr的EvaluateFunction来调用M函数。上面的代码有几个重载方法,可以实用很多不同的情况,有时候,这些方法的个数会更多,其实没多大必要,也可以自己编译一下,把没用的删掉,保留少数几个有用的即可。同时也可以看到,这里直接通过字符串来传递函数名称的,因此必须保证这个函数能被mcr搜索到。比如我们这里的"PlotTest"这个函数其实就包含了ctf文件中(注意ctf文件是可以和dll分开的,在混编项目里可以设置)。
3.上述代码到内置函数的调用
上述已经讲解了整个mcr调用的过程,其实就是通过mcr的EvaluateFunction来调用M函数,但要保证对于的函数名称在mcr搜索的范围内。那么我们是不是可以假设:内置函数都在MCR内部,应该是可以搜索到的,那么把上面的函数名称换一下,是不是也是可行的。这个假设也是我最早接触时候的想法,有了假设,当然要去验证。现在看来这个当然是肯定的,那么不妨重新演示一遍。过程不详细讲了,代码也有注释,混编要引用的MWArray.dll和命名空间也不提了,看代码:
1 using System; 2 using System.Collections.Generic; 3 using System.Linq; 4 using System.Text; 5 using System.Reflection; 6 using System.IO; 7 8 using MathWorks.MATLAB.NET.Utility; 9 using MathWorks.MATLAB.NET.Arrays; 10 11 12 namespace BuildInFunctionDemo 13 { 14 class Program 15 { 16 static MWMCR mcr; 17 static void Main(string[] args) 18 { 19 #region 首先使用PlotTest.dll来初始化mcr,因为这个dll是混编“合法”产生的,只有这样才能顺利启动mcr 20 if (MWMCR.MCRAppInitialized) 21 { 22 string path = Path.Combine(System.Environment.CurrentDirectory, "PlotTest.dll"); 23 Assembly assembly = Assembly.LoadFile(path); 24 string ctfFilePath = assembly.Location; 25 int lastDelimiter = ctfFilePath.LastIndexOf(@"\"); 26 ctfFilePath = ctfFilePath.Remove(lastDelimiter, (ctfFilePath.Length - lastDelimiter)); 27 string ctfFileName = "PlotTest.ctf"; 28 Stream embeddedCtfStream = null; 29 String[] resourceStrings = assembly.GetManifestResourceNames(); 30 31 foreach (String name in resourceStrings) 32 { 33 if (name.Contains(ctfFileName)) 34 { 35 embeddedCtfStream = assembly.GetManifestResourceStream(name); 36 break; 37 } 38 } 39 mcr = new MWMCR("",ctfFilePath, embeddedCtfStream, true); 40 } 41 else 42 { 43 throw new ApplicationException("MWArray assembly could not be initialized"); 44 } 45 #endregion 46 47 #region 直接调用混编dll中的封装函数进行测试 48 mcr.EvaluateFunction(0, "PlotTest", 5); 49 50 //注意这里要断点调试才能看到效果哦,因为mcr会把图绘制在一个Figure上面, 51 //后面的会覆盖前面的,这里暂停一下,可以看前面的效果 52 //下面就是直接调用matlab的plot函数的效果 53 MWNumericArray x = new double[]{1,2,3,4,5}; 54 MWNumericArray y = new double[]{2,1,2.8,5.3,4.7}; 55 mcr.EvaluateFunction(0, "plot",x,y ); 56 #endregion 57 58 Console.ReadKey(); 59 } 60 } 61 }
唯一要注意的就是50-52的说明,要加断点看2次绘制的效果。分别截图如下:
=
4.总结
抛砖引玉,这里只是一个思路,附代码下载吧。
http://www.kuaipan.cn/file/id_4279479643944070.htm