this->button5->Text = S"/const";
this->button5->Click += new System::EventHandler(this, button5_Click);
//
// button6
//
this->button6->BackColor = System::Drawing::Color::LightSkyBlue;
this->button6->Location = System::Drawing::Point(344, 48);
this->button6->Name = S"button6";
this->button6->Size = System::Drawing::Size(40, 23);
this->button6->TabIndex = 11;
this->button6->Text = S"det";
this->button6->Click += new System::EventHandler(this, button6_Click);
//
// button7
//
this->button7->BackColor = System::Drawing::Color::LightSkyBlue;
this->button7->Location = System::Drawing::Point(344, 96);
this->button7->Name = S"button7";
this->button7->Size = System::Drawing::Size(40, 23);
this->button7->TabIndex = 12;
this->button7->Text = S"^-1";
this->button7->Click += new System::EventHandler(this, button7_Click);
//
// button8
//
this->button8->BackColor = System::Drawing::Color::LightSkyBlue;
this->button8->Location = System::Drawing::Point(416, 48);
this->button8->Name = S"button8";
this->button8->Size = System::Drawing::Size(48, 23);
this->button8->TabIndex = 13;
this->button8->Text = S"transp";
this->button8->Click += new System::EventHandler(this, button8_Click);
//
// button9
//
this->button9->BackColor = System::Drawing::Color::LightSkyBlue;
this->button9->Location = System::Drawing::Point(416, 96);
this->button9->Name = S"button9";
this->button9->Size = System::Drawing::Size(48, 23);
this->button9->TabIndex = 14;
this->button9->Text = S"norma";
this->button9->Click += new System::EventHandler(this, button9_Click);
//
// mainMenu1
//
System::Windows::Forms::MenuItem* __mcTemp__1[] = new System::Windows::Forms::MenuItem*[1];
__mcTemp__1[0] = this->menuItem1;
this->mainMenu1->MenuItems->AddRange(__mcTemp__1);
//
// menuItem1
//
this->menuItem1->Index = 0;
System::Windows::Forms::MenuItem* __mcTemp__2[] = new System::Windows::Forms::MenuItem*[11];
__mcTemp__2[0] = this->menuItem2;
__mcTemp__2[1] = this->menuItem3;
__mcTemp__2[2] = this->menuItem4;
__mcTemp__2[3] = this->menuItem5;
__mcTemp__2[4] = this->menuItem6;
__mcTemp__2[5] = this->menuItem7;
__mcTemp__2[6] = this->menuItem8;
__mcTemp__2[7] = this->menuItem9;
__mcTemp__2[8] = this->menuItem10;
__mcTemp__2[9] = this->menuItem11;
__mcTemp__2[10] = this->menuItem12;
this->menuItem1->MenuItems->AddRange(__mcTemp__2);
this->menuItem1->Shortcut = System::Windows::Forms::Shortcut::Alt0;
this->menuItem1->Text = S"OPERATIONS";
//
// menuItem2
//
this->menuItem2->Index = 0;
this->menuItem2->Shortcut = System::Windows::Forms::Shortcut::AltF1;
this->menuItem2->Text = S"A*B";
this->menuItem2->Click += new System::EventHandler(this, button1_Click);
//
// menuItem3
//
this->menuItem3->Index = 1;
this->menuItem3->Shortcut = System::Windows::Forms::Shortcut::AltF2;
this->menuItem3->Text = S"A+B";
this->menuItem3->Click += new System::EventHandler(this, button2_Click);
//
// menuItem4
//
this->menuItem4->Index = 2;
this->menuItem4->Shortcut = System::Windows::Forms::Shortcut::AltF3;
this->menuItem4->Text = S"A-B";
this->menuItem4->Click += new System::EventHandler(this, button3_Click);
//
// menuItem5
//
this->menuItem5->Index = 3;
this->menuItem5->Shortcut = System::Windows::Forms::Shortcut::AltF4;
this->menuItem5->Text = S"A*const";
this->menuItem5->Click += new System::EventHandler(this, button4_Click);
//
// menuItem6
//
this->menuItem6->Index = 4;
this->menuItem6->Shortcut = System::Windows::Forms::Shortcut::AltF5;
this->menuItem6->Text = S"A/const";
this->menuItem6->Click += new System::EventHandler(this, button5_Click);
//
// menuItem7
//
this->menuItem7->Index = 5;
this->menuItem7->Shortcut = System::Windows::Forms::Shortcut::AltF6;
this->menuItem7->Text = S"detA";
this->menuItem7->Click += new System::EventHandler(this, button6_Click);
//
// menuItem8
//
this->menuItem8->Index = 6;
this->menuItem8->Shortcut = System::Windows::Forms::Shortcut::AltF7;
this->menuItem8->Text = S"A^-1";
this->menuItem8->Click += new System::EventHandler(this, button7_Click);
//
// menuItem9
//
this->menuItem9->Index = 7;
this->menuItem9->Shortcut = System::Windows::Forms::Shortcut::AltF8;
this->menuItem9->Text = S"transpA";
this->menuItem9->Click += new System::EventHandler(this, button8_Click);
//
// menuItem10
//
this->menuItem10->Index = 8;
this->menuItem10->Shortcut = System::Windows::Forms::Shortcut::AltF9;
this->menuItem10->Text = S"|| A ||";
this->menuItem10->Click += new System::EventHandler(this, button9_Click);
//
// menuItem11
//
this->menuItem11->Index = 9;
this->menuItem11->Shortcut = System::Windows::Forms::Shortcut::AltF10;
this->menuItem11->Text = S"traceA";
this->menuItem11->Click += new System::EventHandler(this, button10_Click);
//
// button10
//
this->button10->BackColor = System::Drawing::Color::LightSkyBlue;
this->button10->Location = System::Drawing::Point(264, 136);
this->button10->Name = S"button10";
this->button10->Size = System::Drawing::Size(48, 23);
this->button10->TabIndex = 21;
this->button10->Text = S"trace";
this->button10->Click += new System::EventHandler(this, button10_Click);
//
// button11
//
this->button11->BackColor = System::Drawing::Color::LightSkyBlue;
this->button11->Location = System::Drawing::Point(344, 136);
this->button11->Name = S"button11";
this->button11->Size = System::Drawing::Size(48, 23);
this->button11->TabIndex = 22;
this->button11->Text = S"cond";
this->button11->Click += new System::EventHandler(this, button11_Click);
//
// menuItem12
//
this->menuItem12->Index = 10;
this->menuItem12->Shortcut = System::Windows::Forms::Shortcut::AltF11;
this->menuItem12->Text = S"condA";
this->menuItem12->Click += new System::EventHandler(this, button11_Click);
//
// Form1
//
this->AutoScaleBaseSize = System::Drawing::Size(5, 13);
this->BackColor = System::Drawing::Color::SteelBlue;
this->ClientSize = System::Drawing::Size(520, 266);
this->Controls->Add(this->button11);
this->Controls->Add(this->button10);
this->Controls->Add(this->button9);
this->Controls->Add(this->button8);
this->Controls->Add(this->button7);
this->Controls->Add(this->button6);
this->Controls->Add(this->button5);
this->Controls->Add(this->button4);
this->Controls->Add(this->button3);
this->Controls->Add(this->button2);
this->Controls->Add(this->button1);
this->Controls->Add(this->textBox6);
this->Controls->Add(this->textBox5);
this->Controls->Add(this->textBox4);
this->Controls->Add(this->textBox3);
this->Controls->Add(this->textBox2);
this->Controls->Add(this->textBox1);
this->Controls->Add(this->label6);
this->Controls->Add(this->label5);
this->Controls->Add(this->label4);
this->Controls->Add(this->label3);
this->Controls->Add(this->label2);
this->Controls->Add(this->label1);
this->Cursor = System::Windows::Forms::Cursors::Hand;
this->Menu = this->mainMenu1;
this->Name = S"Form1";
this->Text = S"MATRIX CALCULATOR";
this->Load += new System::EventHandler(this, Form1_Load);
this->ResumeLayout(false);
}
private: System::Void Form1_Load(System::Object * sender, System::EventArgs * e)
{
}
private: System::Void textBox3_TextChanged(System::Object * sender, System::EventArgs * e){}
private: System::Void textBox6_TextChanged(System::Object * sender, System::EventArgs * e){}
private: System::Void button1_Click(System::Object * sender, System::EventArgs * e)
{
int i,j,l;
double **A,**B,**C,smm;
int n=Convert::ToInt32(textBox4->Text);
A = new double*[n];
B = new double*[n];
C = new double*[n];
for(i=0;i<n;i++)
{
A[i] = new double[n];
B[i] = new double[n];
C[i] = new double[n];
}
{
GET_ARRAY(textBox1->Text,A,n);
GET_ARRAY(textBox2->Text,B,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
smm=0;
for(l=0;l<n;l++)
smm+=A[i][l]*B[l][j];
C[i][j]=smm;
}
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
}
private: System::Void button2_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**B,**C;
int n=Convert::ToInt32(textBox4->Text);
A=new double *[n];
B=new double *[n];
C=new double *[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
B[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
GET_ARRAY(textBox2->Text,B,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
C[i][j]=A[i][j]+B[i][j];
}
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button3_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**B,**C;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
B=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
B[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
GET_ARRAY(textBox2->Text,B,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
C[i][j]=A[i][j]-B[i][j];
}
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button4_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**C;
int n=Convert::ToInt32(textBox4->Text);
double cnst=Convert::ToDouble(textBox5->Text);
A=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
C[i][j]=cnst*A[i][j];
}
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button5_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**C,g;
int n=Convert::ToInt32(textBox4->Text);
double cnst=Convert::ToDouble(textBox5->Text);
A=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
g=1/cnst;
C[i][j]=g*A[i][j];
}
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button6_Click(System::Object * sender, System::EventArgs * e)
{
int i;
double **A,d;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
d=DET(A,n);
textBox6->Text=Convert::ToString(d);
textBox6->Invalidate();
textBox6->Update();
}
private: System::Void button8_Click(System::Object * sender, System::EventArgs * e)
{
int i;
double **A,**C;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
TRANSP_ARRAY(A,n);
textBox3->Text=CNV_ARRAY(A,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button9_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,sum=0;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
for(i=0;i<n;i++)
{
for(j=0;j<n;j++)
{
sum+=System::Math::Abs(A[i][j]);
}
}
textBox6->Text=Convert::ToString(sum);
textBox6->Invalidate();
textBox6->Update();
}
private: System::Void button7_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**C,a,as,ad,d,h;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
d=DET(A,n);
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
h=1/d;
a=A[i][j];
ad=ALG_DOP(A,n,i,j);
as=a*ad;
C[i][j]=h*as;
}
TRANSP_ARRAY(C,n);
textBox3->Text=CNV_ARRAY(C,n);
textBox3->Invalidate();
textBox3->Update();
}
private: System::Void button10_Click(System::Object * sender, System::EventArgs * e)
{
int i;
double **A,tr;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
tr=TRACE(A,n);
textBox6->Text=Convert::ToString(tr);
textBox6->Invalidate();
textBox6->Update();
}
private: System::Void button11_Click(System::Object * sender, System::EventArgs * e)
{
int i,j;
double **A,**C,a,as,ad,d,h;
int n=Convert::ToInt32(textBox4->Text);
A=new double*[n];
C=new double*[n];
for(i=0;i<n;i++)
{
A[i]=new double[n];
C[i]=new double[n];
}
GET_ARRAY(textBox1->Text,A,n);
d=DET(A,n);
if(d!=0)
{
for(i=0;i<n;i++)
for(j=0;j<n;j++)
{
h=1/d;
a=A[i][j];
ad=ALG_DOP(A,n,i,j);
as=a*ad;
C[i][j]=h*as;
}
}
TRANSP_ARRAY(C,n);
double sum=0,mus=0,S=0;
for(i=0;i<n;i++)
{
for(j=0;j<n;j++)
{
sum+=System::Math::Abs(A[i][j]);
mus+=System::Math::Abs(C[i][j]);
}
}
S=sum*mus;
textBox6->Text=Convert::ToString(S);
textBox6->Invalidate();
textBox6->Update();
}
};
}
Висновок
Розроблена програма може бути використана для виконання основнихарифметичних операцій над матрицями, а також для обчислення визначника, норми та сліду матриці.
Програма розроблена на платформі Microsoft .NETFramewoks (MC++), обговорення й використання якої стало мало не найпомітнішим явищем останніх років в області маркетингу засобів розробки програмного забезпечення. Окрім того, внутрішні механізми. NETзабезпечують такі розв’язання, як підтримка компонентного програмування засобами мови C#, сумісність компонентів, розроблених на різних мовах програмування, побудова стійкого та безпечного коду, організація взаємодії некерованого та керованого кодів тощо.
Подана програма може стати у пригоді студентам для перевірки обчислень у розрахункових роботах.
Використана література
1. “Лінійна алгебра” Ільїн В.І., Позняк Е.Г.
2. “Матричний аналіз” Хорн Р., Джонсон Ч.
3. “Microsoft .Netв подлиннике” Дубцев О.В.
4. Microsoft .NetFrameworkSDKv1.1 Documentation.
5. Microsoft Visual Studio .Net 2003 Documentation.