Matrix Multiplied

標題：n階矩陣相乘
C# (MainWindow.xaml.cs)：

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;

namespace matrix_multiplied
{
    /// <summary>
    /// Interaction logic for MainWindow.xaml
    /// </summary>
    public partial class MainWindow : Window
    {
        public int ma = 0;
        public int na = 0;
        public int mb = 0;
        public int nb = 0;
        public MainWindow()
        {
            InitializeComponent();
        }
        public void CreateMatrix()
        {
            int m = 0, n = 0;
            
            //Clear virtual Matrix
            this.MatrixGrid.Children.Clear();
            for (m = 0; m < ma; m++)
                for (n = 0; n < na; n++)
                    this.UnregisterName("MA_" + m.ToString() + "_" + n.ToString());
            for (m = 0; m < mb; m++)
                for (n = 0; n < nb; n++)
                    this.UnregisterName("MB_" + m.ToString() + "_" + n.ToString());

            //Create Matrix A B Textbox
            ma = Convert.ToInt32(mA.Text);
            na = Convert.ToInt32(nA.Text);
            mb = Convert.ToInt32(mB.Text);
            nb = Convert.ToInt32(nB.Text);
            if (na != mb) //Check Matrix
            {
                MessageBox.Show("Can't do the Multiplication!!");
            }
            else
            {
                //Create Matrix A
                for (m = 0; m < ma; m++)
                {
                    for (n = 0; n < na; n++)
                    {
                        TextBox newtbx = new TextBox();
                        newtbx.Name = "MA_" + m.ToString() + "_" + n.ToString();
                        newtbx.Text = "1.0";
                        newtbx.VerticalAlignment = VerticalAlignment.Top;
                        newtbx.HorizontalAlignment = HorizontalAlignment.Left;
                        newtbx.Margin = new Thickness((10 + 40 * n), (10 + 40 * m), 0, 0);
                        newtbx.Width = 30;
                        newtbx.Height = 30;
                        this.MatrixGrid.Children.Add(newtbx);
                        this.RegisterName(newtbx.Name, newtbx);
                    }
                }

                //Add multiply symbol
                TextBlock newtbk = new TextBlock();
                newtbk.Name = "Multiply";
                newtbk.Text = "×";
                newtbk.Margin = new Thickness((15 + 40 * na), (20 * ma), 0, 0);
                this.MatrixGrid.Children.Add(newtbk);

                //Create Matrix B
                for (m = 0; m < mb; m++)
                {
                    for (n = 0; n < nb; n++)
                    {
                        TextBox newtbx = new TextBox();
                        newtbx.Name = "MB_" + m.ToString() + "_" + n.ToString();
                        newtbx.Text = "1.0";
                        newtbx.VerticalAlignment = VerticalAlignment.Top;
                        newtbx.HorizontalAlignment = HorizontalAlignment.Left;
                        newtbx.Margin = new Thickness((40 + 40 * (n + na)), (10 + 40 * m), 0, 0);
                        newtbx.Width = 30;
                        newtbx.Height = 30;
                        this.MatrixGrid.Children.Add(newtbx);
                        this.RegisterName(newtbx.Name, newtbx);
                    }
                }
            }
        }

        public void DetermineMatrix()
        {
            int m = 0, n = 0, i=0;
            Double sum = 0;
            Double[,] MaArray = new Double[ma, na];
            Double[,] MbArray = new Double[mb, nb];
            Double[,] McArray = new Double[ma, nb];
            
            //Get Number
            for (m = 0; m < ma; m++)
            {
                for (n = 0; n < na; n++)
                {
                    TextBox MA = (TextBox)MatrixGrid.FindName("MA_" + m.ToString() + "_" + n.ToString());
                    MaArray[m, n] = (Double)Convert.ToDouble(MA.Text);
                }
            }
            for (m = 0; m < mb; m++)
            {
                for (n = 0; n < nb; n++)
                {
                    TextBox MB = (TextBox)MatrixGrid.FindName("MB_" + m.ToString() + "_" + n.ToString());
                    MbArray[m, n] = (Double)Convert.ToDouble(MB.Text);
                }
            }

            //Determine Matrix
            for (m = 0; m < ma; m++)
            {
                for (n = 0; n < nb; n++)
                {
                    sum = 0.0;
                    for (i = 0; i < mb; i++)
                    {
                        sum += MaArray[m,i] * MbArray[i,n];
                    }
                    McArray[m,n] = sum;
                }
            }

            //Add equal symbol
            TextBlock newtbk = new TextBlock();
            newtbk.Name = "Anser";
            newtbk.Text = "=";
            newtbk.Margin = new Thickness((50 + 40 * (na + nb)), (20 * ma), 0, 0);
            this.MatrixGrid.Children.Add(newtbk);

            //Create Matrix C
            for (m = 0; m < ma; m++)
            {
                for (n = 0; n < nb; n++)
                {
                    sum = 0.0;
                    for (i = 0; i < mb; i++)
                    {
                        TextBox newtbx = new TextBox();
                        newtbx.Name = "MC" + m.ToString() + "_" + n.ToString();
                        newtbx.Text = Convert.ToString(McArray[m,n]);
                        newtbx.VerticalAlignment = VerticalAlignment.Top;
                        newtbx.HorizontalAlignment = HorizontalAlignment.Left;
                        newtbx.Margin = new Thickness((70 + 40 * (n + na + nb)), (10 + 40 * m), 0, 0);
                        newtbx.Width = 30;
                        newtbx.Height = 30;
                        this.MatrixGrid.Children.Add(newtbx);
                    }
                }
            }
        }

        private void CreateMatrix_Click(object sender, RoutedEventArgs e)
        {
            CreateMatrix();
        }

        private void DetermineMatrix_Click(object sender, RoutedEventArgs e)
        {
            DetermineMatrix();
        }
    }
}

WPF (MainWindow.xaml)：

<Window x:Class="matrix_multiplied.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        Title="MainWindow" Height="600" Width="600">
    <Grid>
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="20,20,0,0" Name="MatrixATitle" Text="Matrix A" VerticalAlignment="Top" Width="122" TextAlignment="Left" />
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="20,50,0,0" Name="textBlock1" Text="m:" VerticalAlignment="Top" Width="20" DataContext="{Binding}" TextAlignment="Left" />
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="90,50,0,0" Name="textBlock2" Text="n:" VerticalAlignment="Top" Width="20" DataContext="{Binding}" TextAlignment="Left" />
        <TextBox Height="30" Margin="40,50,0,0" Name="mA" VerticalAlignment="Top" Text="4" HorizontalAlignment="Left" Width="30" />
        <TextBox Height="30" Margin="110,50,0,0" Name="nA" VerticalAlignment="Top" Text="4" HorizontalAlignment="Left" Width="30" />
        
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="180,20,0,0" Name="MatrixBTitle" Text="Matrix B" VerticalAlignment="Top" Width="122" TextAlignment="Left" />
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="180,50,0,0" Name="textBlock3" Text="m:" VerticalAlignment="Top" Width="20" DataContext="{Binding}" TextAlignment="Left" />
        <TextBlock Height="30" HorizontalAlignment="Left" Margin="250,50,0,0" Name="textBlock4" Text="n:" VerticalAlignment="Top" Width="20" DataContext="{Binding}" TextAlignment="Left" />
        <TextBox Height="30" Margin="200,50,0,0" Name="mB" VerticalAlignment="Top" Text="4" HorizontalAlignment="Left" Width="30" />
        <TextBox Height="30" Margin="270,50,0,0" Name="nB" VerticalAlignment="Top" Text="1" HorizontalAlignment="Left" Width="30" />

        <Button Content="Create Matrix" Height="30" Margin="340,50,0,0" Name="CreateMatrixBtn" VerticalAlignment="Top" HorizontalAlignment="Left" Width="100" Click="CreateMatrix_Click" />
        <Button Content="Determine" Height="30" Margin="460,50,0,0" Name="DetermineMatrixBtn" VerticalAlignment="Top" HorizontalAlignment="Left" Width="100" Click="DetermineMatrix_Click" />
        
        <Grid Margin="10,100,10,10" Name="MatrixGrid" HorizontalAlignment="Stretch">
        </Grid>
    </Grid>
</Window>

結果：

說明：
使用WPF撰寫計算n階矩陣相乘印出結果。

首先按下Create Matrix按鈕虛擬建立需要的TextBox陣列數量，
再按下Determine去擷取經過RegisterName後的虛擬TextBox中的值，
並計算出矩陣相乘的結果後虛擬印出。