Составление программы на алгоритмическом языке, выполняющей указанные преобразования с матрицами
Задание №37
Расположить в матрице A(N,N) элементы в
последовательности указанной на рисунке.
Требования к программе:
1.
Составить
программу на алгоритмическом языке, выполняющую указанные преобразования с
матрицами;
2.
Вывести вектор,
полученный случайно;
3.
Вывести
преобразованную матрицу с новым содержимым вектора;
4.
Программа должна
строиться таким образом, чтобы существовала возможность её использования с
массивами любой размерности, содержащими произвольные элементы;
5.
В программе
должна быть предусмотрена выдача на печать исходных и преобразованных матриц;
6.
Полученные
результаты должны быть занесены в файл последовательного доступа и доступны для
просмотра из него.
Изменённые свойства
приложения
Begin VB.Form frmMain
BorderStyle = 1
'Fixed Single
Caption = "Задание
№37"
ClientHeight =
4365
ClientLeft = 45
ClientTop = 435
ClientWidth = 6180
LinkTopic = "Form1"
MaxButton = 0 'False
ScaleHeight = 4365
ScaleWidth = 6180
StartUpPosition
= 2 'CenterScreen
Begin VB.Frame
Frame2
Caption = "Управление"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 4125
Left = 4590
TabIndex = 7
Top = 120
Width = 1485
Begin
VB.CommandButton cmdSave
Caption = "&Сохранение"
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 11
Top = 1530
Width = 1245
End
Begin
VB.CommandButton cmdPrint
Caption = "&Печать"
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 10
Top = 930
Width = 1245
End
Begin
VB.CommandButton cmdExit
Cancel = -1 'True
Caption = "&Выход"
Height = 375
Left = 120
TabIndex = 9
Top = 3630
Width = 1245
End
Begin
VB.CommandButton cmdRun
Caption = "&Решение"
Default = -1 'True
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 8
Top = 330
Width = 1245
End
End
Begin
VB.TextBox txtOriginal
Height = 675
Left = 90
Locked = -1 'True
MultiLine = -1
'True
ScrollBars = 2
'Vertical
TabIndex = 1
Top = 1350
Width = 4485
End
Begin VB.Frame Frame1
Caption = "Управление размерностью матрицы"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 885
Left = 90
TabIndex = 5
Top = 120
Width = 4515
Begin
VB.TextBox txtN
Alignment = 2 'Center
Height = 285
Left = 3150
MaxLength = 4
TabIndex = 0
Top = 360
Width = 1215
End
Begin VB.Label
Label2
Caption = "Чётная размерность
матрицы"
Height = 255
Left = 150
TabIndex = 6
Top = 390
Width = 2895
End
End
Begin
VB.TextBox txtResult
Height = 1875
Left = 90
Locked = -1 'True
MultiLine = -1
'True
ScrollBars = 2
'Vertical
TabIndex = 2
Top = 2370
Width = 4485
End
Begin VB.Label
Label3
Alignment = 2 'Center
BorderStyle = 1
'Fixed Single
Caption = "Упорядоченная
матрица"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 255
Left = 90
TabIndex = 4
Top = 2070
Width = 4485
End
Begin VB.Label
Label1
Alignment = 2 'Center
BorderStyle = 1
'Fixed Single
Caption = "Полученный
случайный вектор"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 255
Left = 90
TabIndex = 3
Top = 1050
Width = 4485
End
End
Attribute
VB_Name = "frmMain"
Attribute
VB_GlobalNameSpace = False
Attribute
VB_Creatable = False
Attribute
VB_PredeclaredId = True
Attribute
VB_Exposed = False
Текст программы на языке Microsoft Visual Basic 6.00 Ext
Option
Explicit
Private Sub
cmdExit_Click()
Unload Me
End Sub
Private Sub
cmdPrint_Click()
Me.PrintForm
End Sub
Private Sub
cmdRun_Click()
txtN.Enabled =
False
Dim i As
Integer, j As Integer
Dim t As
Integer, n As Integer
Dim k As
Integer, p As Integer
n =
Val(txtN.Text)
txtOriginal =
Empty
Dim MV As
Integer
MV = n ^ 2 / 2
+ n
ReDim a(n, n)
As Integer
ReDim x(MV) As
Integer
Randomize
Timer
For i = 1 To
MV
x(i) = Int(Rnd
* 90) + 10
txtOriginal =
txtOriginal & Str(x(i)) & " "
Next i
k = 0
For i = n To n
/ 2 - 1 Step -1
If i / 2 =
Int(i / 2) Then
For j = n - i
+ 1 To i
k = k + 1: a(i,
j) = x(k)
Next j
Else
For j = i To n
- i + 1 Step -1
k = k + 1: a(i,
j) = x(k)
Next j
End If
Next i
For i = n / 2
To 1 Step -1
If i / 2 =
Int(i / 2) Then
For j = n - i
+ 1 To i Step -1
k = k + 1
a(i, j) = x(k)
Next j
Else
For j = i To n
- i + 1
k = k + 1
a(i, j) = x(k)
Next j
End If
Next i
For i = 1 To n
For j = 1 To n
txtResult =
txtResult & Format(a(i, j), "00") & " "
Next j
txtResult =
txtResult & vbCrLf
Next i
cmdPrint.Enabled
= True
cmdSave.Enabled
= True
End Sub
Private Sub
cmdSave_Click()
On Error GoTo
Err_Lbl:
Open App.Path
& "\Result.txt" For Output As #1
Print #1,
"Задание №46" & vbCrLf & vbCrLf
Print #1,
"Исходная матрица:" & vbCrLf
Print #1,
txtOriginal.Text & vbCrLf
Print #1,
"Полученная матрица:" & vbCrLf
Print #1,
txtResult.Text
Close #1
Exit Sub
Err_Lbl:
MsgBox "Произошла ошибка записи",
vbCritical, "Внимание"
End Sub
Private Sub
txtN_Change()
If Val(txtN)
> 8 Or Val(txtN) = 0 Or Val(txtN) Mod 2 <> 0 Then
cmdRun.Enabled
= False
Else
cmdRun.Enabled
= True
End If
End Sub
Private Sub
txtN_KeyPress(KeyAscii As Integer)
If KeyAscii
< 26 Then Exit Sub
If Not
IsNumeric(Chr(KeyAscii)) Then KeyAscii = 0
End Sub
Внешний вид приложения:
Результат работы
приложения:
Приложение
1
Form1
VERSION 5.00
Begin VB.Form
frmMain
BorderStyle = 1
'Fixed Single
Caption = "Задание №37"
ClientHeight =
4365
ClientLeft = 45
ClientTop = 435
ClientWidth = 6180
LinkTopic = "Form1"
MaxButton = 0 'False
ScaleHeight = 4365
ScaleWidth = 6180
StartUpPosition
= 2 'CenterScreen
Begin VB.Frame
Frame2
Caption = "Управление"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 4125
Left = 4590
TabIndex = 7
Top = 120
Width = 1485
Begin
VB.CommandButton cmdSave
Caption = "&Сохранение"
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 11
Top = 1530
Width = 1245
End
Begin
VB.CommandButton cmdPrint
Caption = "&Печать"
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 10
Top = 930
Width = 1245
End
Begin
VB.CommandButton cmdExit
Cancel = -1 'True
Caption = "&Выход"
Height = 375
Left = 120
TabIndex = 9
Top = 3630
Width = 1245
End
Begin
VB.CommandButton cmdRun
Caption = "&Решение"
Default = -1 'True
Enabled = 0 'False
Height = 375
Left = 120
TabIndex = 8
Top = 330
Width = 1245 End
End
Begin
VB.TextBox txtOriginal
Height = 675
Left = 90
Locked = -1 'True
MultiLine = -1
'True
ScrollBars = 2
'Vertical
TabIndex = 1
Top = 1350
Width = 4485
End
Begin VB.Frame Frame1
Caption = "Управление
размерностью матрицы"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Left = 90
TabIndex = 5
Top = 120
Width = 4515
Begin
VB.TextBox txtN
Alignment = 2 'Center
Height = 285
Left = 3150
MaxLength = 4
TabIndex = 0
Top = 360
Width = 1215
End
Begin VB.Label
Label2
Alignment = 2 'Center
BorderStyle = 1
'Fixed Single
Caption = "Чётная размерность матрицы"
Height = 255
Left = 150
TabIndex = 6
Top = 390
Width = 2895
End
End
Begin
VB.TextBox txtResult
Height = 1875
Left = 90
Locked = -1 'True
MultiLine = -1
'True
ScrollBars = 2
'Vertical
TabIndex = 2
Top = 2370
Width = 4485
End
Begin VB.Label
Label3
Alignment = 2 'Center
BorderStyle = 1
'Fixed Single
Caption = "Упорядоченная матрица"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 255
Left = 90
TabIndex = 4
Top = 2070
Width = 4485
End
Begin VB.Label
Label1
Alignment = 2 'Center
BorderStyle = 1
'Fixed Single
Caption = "Полученный случайный вектор"
BeginProperty
Font
Name = "MS
Sans Serif"
Size = 8.25
Charset = 204
Weight = 700
Underline = 0 'False
Italic = 0 'False
Strikethrough =
0 'False
EndProperty
Height = 255
Left = 90
TabIndex = 3
Top = 1050
Width = 4485
End
End
Attribute
VB_Name = "frmMain"
Attribute
VB_GlobalNameSpace = False
Attribute
VB_Creatable = False
Attribute
VB_PredeclaredId = True
Attribute
VB_Exposed = False
Option
Explicit
Private Sub
cmdExit_Click()
Unload Me
End Sub
Private Sub
cmdPrint_Click()
Me.PrintForm
End Sub
Private Sub
cmdRun_Click()
txtN.Enabled =
False
Dim i As
Integer, j As Integer
Dim t As
Integer, n As Integer
Dim k As
Integer, p As Integer
n =
Val(txtN.Text)
txtOriginal =
Empty
Dim MV As
Integer
MV = n ^ 2 / 2
+ n
ReDim a(n, n)
As Integer
ReDim x(MV) As
Integer
Randomize
Timer
For i = 1 To
MV
x(i) = Int(Rnd
* 90) + 10
txtOriginal =
txtOriginal & Str(x(i)) & " "
Next i
k = 0
For i = n To n
/ 2 - 1 Step -1
If i / 2 =
Int(i / 2) Then
For j = n - i
+ 1 To i
k = k + 1
a(i, j) = x(k)
Next j
Else
For j = i To n
- i + 1 Step -1
k = k + 1
a(i, j) = x(k)
Next j
End If
Next i
For i = n / 2
To 1 Step -1
If i / 2 =
Int(i / 2) Then
For j = n - i
+ 1 To i Step -1
k = k + 1
a(i, j) = x(k)
Next j
Else
For j = i To n
- i + 1
k = k + 1
a(i, j) = x(k)
Next j
End If
Next i
For i = 1 To n
For j = 1 To n
txtResult =
txtResult & Format(a(i, j), "00") & " "
Next j
txtResult =
txtResult & vbCrLf
Next i
cmdPrint.Enabled
= True
cmdSave.Enabled
= True
End Sub
Private Sub
cmdSave_Click()
On Error GoTo
Err_Lbl:
Open App.Path
& "\Result.txt" For Output As #1
Print #1,
"Задание №46" & vbCrLf
& vbCrLf
Print #1,
"Исходная матрица:" & vbCrLf
Print #1,
txtOriginal.Text & vbCrLf
Print #1,
"Полученная матрица:" & vbCrLf
Print #1,
txtResult.Text
Close #1
Exit Sub
Err_Lbl:
MsgBox "Произошла
ошибка записи", vbCritical, "Внимание"
End Sub
Private Sub
txtN_Change()
If Val(txtN)
> 8 Or Val(txtN) = 0 Or Val(txtN) Mod 2 <> 0 Then
cmdRun.Enabled
= False
Else
cmdRun.Enabled
= True
End If
End Sub
Private Sub
txtN_KeyPress(KeyAscii As Integer)
If KeyAscii
< 26 Then Exit Sub
If Not
IsNumeric(Chr(KeyAscii)) Then KeyAscii = 0
End Sub
Приложение
2
Задание №46
Исходная матрица:
39 41 16 98 68 47 13 87 94
12 12 69 59 46 52 85 71 38 18 19 77 81 92 26 23 94 66 83 28 23 23 15 39 50 51 78
58 22 73 41
Полученная матрица:
39 50 51 78 58 22 73 41
00 15 23 23 28 83 66 00
00 00 92 26 23 94 00 00
00 00 00 81 77 00 00 00
00 00 00 19 18 00 00 00
00 00 52 85 71 38 00 00
00 46 59 69 12 12 94 00
39 41 16 98 68 47 13 87