Bài Tập Lớn Xây Dựng Phần Mềm Hỗ Trợ Học Sinh Cấp 2 Học Hình Học Về Các Phép Biến Đổi Hình Học

iem quanh tam O
void Quay(float &x,float &y,float goc)
{
 goc=(M_PI/180)*goc;
 float a=x,b=y;
 x=a*cos(goc)-b*sin(goc);
 y=a*sin(goc)+b*cos(goc);
}
//Quay 1 diem quanh tam bat ky
void QuayTambatKy(float &x,float &y,float xtam,float ytam,float goc)
{
 goc=(M_PI/180)*goc;
 float a=x+xtam,b=y+ytam;
 x=a*cos(goc)-b*sin(goc);
 y=a*sin(goc)+b*cos(goc);
}
//Doi xung tam O 1 diem
void DoiXungTamO(float &x,float &y)
{
 x=-x;
 y=-y;
}
//Doi xung tam bat ky
void DoiXung(float &x,float &y,float xtam,float ytam)
{
 x=2*xtam-x;
 y=2*ytam-y;
}
//Doi xung 1 diem qua Ox
void DoiXungOX(float x,float &y)
{
 y=-y;
}
//Doi xung 1 diem qua Oy
void DoiXungOy(float &x,float y)
{
 x=-x;
}
//Doi xung qua duong thang ax+by+c=0 bo
void DXDuong(float &x,float &y,float a,float b,float c)
{
 float t=(a*x+b*y+c)/(a*a+b*b);
 x=x-2*t*a;
 y=y-2*t*b;
}
//Ve duong thang ax+by+c=0 bo
void VeDuong(float a,float b,float c)
{
 if(a==0)
 {
 ChuyenDen(xw1,-c/b);
 VeDen(xw2,-c/b);
 }
 if(b==0)
 {
 ChuyenDen(-c/a,yw1);
 VeDen(-c/a,yw2);
 }
 if(a*b!=0)
 {
 if((yw1<=(-a*xw1-c)/b)&&(-a*xw1-c)/b<=yw2)
 {
 ChuyenDen(xw1,(-a*xw1-c)/b);
 VeDen(xw2,(-a*xw2-c)/b);
 }
 else
 {
 ChuyenDen((-c-b*yw2)/a,yw2);
 VeDen((-c-b*yw1)/a,yw1);
 }
 }
}
//Ve da giac n dinh
void VenGiac(int n)
{
 for(int i=1;i<=n;i++)
 {
 cout<<" Nhap toa do diem "<<i<<endl<<endl;
 cout<<"toa do x: ";
 cin>>X[i];
 cout<<"toa do y: ";
 cin>>Y[i];
 cout<<endl;
 }
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 {
 VeDen(X[i],Y[i]);
 }
}
void VeDaGiac(int n)
{
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 {
 VeDen(X[i],Y[i]);
 }
}
//Tinh tien n giac
void TinhTienDaGiac(int n,float ttx,float tty)
{
 for(int i=1;i<=n;i++)
 {
 TinhTien(X[i],Y[i],ttx,tty);
 }
}
// ham tinh tien da giac 2 lan
void TinhTien2LanDaGiac(int n,float ttx1,float tty1,float ttx2,float tty2)
{
 for(int i=1;i<=n;i++)
 {
 TinhTien(X[i],Y[i],ttx1+ttx2,tty1+tty2);
 }
}
//Quay da giac quanh tam O
void QuayDaGiac(int n,float goc)
{
 for(int i=1;i<=n;i++)
 Quay(X[i],Y[i],goc);
}
//Quay da giac quanh 1 tam bat ky
void QuayTamBatKy(int n,float a,float b,float goc)
{
 float x[100],y[100];
 for(int i=1;i<=n;i++) 
 {
 x[i]=X[i];
 y[i]=Y[i];
 }
 TinhTienDaGiac(n,-a,-b);
 QuayDaGiac(n,goc);
 setcolor(YELLOW);
 TinhTienDaGiac(n,a,b);
 VeDaGiac(n);
}
//Bien doi ti le da giac
void TiLeDaGiac(int n,float tlx,float tly)
{
 for(int i=1;i<=n;i++)
 BienDoiTiLe(X[i],Y[i],tlx,tly);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//Ham bien doi ti le da giac 2 lan 
void TiLeDaGiac2Lan(int n,float tlx1,float tly1,float tlx2, float tly2)
{
 for(int i=1;i<=n;i++)
 BienDoiTiLe(X[i],Y[i],tlx1*tlx2,tly1*tly2);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//Ham doi xung tam O da giac
void DXTamODaGiac(int n)
{
 setcolor(1);
 for(int i=1;i<=n;i++)
 DoiXungTamO(X[i],Y[i]);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//Doi xung tam bat ky trong da giac
void DoiXungTamBatKy(int n,float xtam,float ytam)
{
 for(int i=1;i<=n;i++)
 DoiXung(X[i],Y[i],xtam,ytam);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]); 
}
//Doi xung da giac qua Ox
void DXDaGiacOX(int n)
{
 setcolor(2);
 for(int i=1;i<=n;i++)
 DoiXungOX(X[i],Y[i]);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//Doi xung n giac qua Oy
void DXDaGiacOY(int n)
{
 setcolor(3);
 for(int i=1;i<=n;i++)
 DoiXungOy(X[i],Y[i]);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//Doi xung da giac qua duong thang ax+by+c=0
void DoiXungDuong(int n,float a,float b,float c)
{
 setcolor(5);
 for(int i=1;i<=n;i++)
 DXDuong(X[i],Y[i],a,b,c);
 ChuyenDen(X[n],Y[n]);
 for(int i=1;i<=n;i++)
 VeDen(X[i],Y[i]);
}
//ket hop phep quay va bien doi ti le
void QuayTiLe(int n,float tlx,float tly, float goc)
{
 QuayDaGiac(n,goc);
 TiLeDaGiac(n,tlx,tly);
 VeDaGiac(n);
}
//ket hop ham tinh tien va bien doi ti le
void TinhTien_BienDoiTiLe(int n, float ttx,float tty,float tlx,float tly)
{
 TinhTienDaGiac(n,ttx,tty);
 TiLeDaGiac(n,tlx,tly);
 VeDaGiac(n);
}
int main(void)
{ 
 int m,n,p;
 initwindow(680,790);
 CuaSo(-15,-15,15,15);
 KhungNhin(120,120,500,500);
 VeTruc();
 float ttx,tty,tlx,tly;
 int chon[10]; 
 cout<< " "<<endl; 
 cout<< " "<<endl;
 cout<<" CHUONG TRINH MO PHONG CAC PHEP BIEN HINH TRONG TOAN CAP 2"<<endl<<endl;
 cout<<" Giao Vien Huong Dan: ThS.Vu Minh Yen"<<endl<<endl;
 cout<<" SV Thuc Hien: Nhom 5 Lop KHMT1 - K5"<<endl;
 cout<<" ---------------------------------------------------------"<<endl<<endl<<endl;
 Mylabel1:;
 system("color 4f");
 cout<<"Xin moi nhap lua chon: "<<endl<<endl;
 cout<<" 1.Cac phep bien hinh co ban "<<endl;
 cout<<" 2.Cac phep bien hinh ket hop "<<endl; 
 cout<<" 3.Danh Sach Nhom "<<endl;
 cout<<" 4.Thoat"<<endl<<endl; 
 cin>>m;
 if(m==1)
 {
 lb1:;
 cout>n;
 cout<< endl;
 VenGiac(n);
 if(n<=0)
 {
 cout<<"So dinh cua ban khong dung xin moi nhap lai: \n"<<endl;
 goto lb1;
 } 
 cout<<"Ban co muon tiep tuc khong?: \n"<<endl;
 int t;
 cout<<" 1. Co 2.Khong";
 cin>>t;
 if(t==1)
 {
 system("cls") ; 
 VeTruc();
 goto lb8;
 }
 else
 {
 system("cls");
 cleardevice(); 
 VeTruc();
 goto Mylabel1;
 } 
 cout<<endl;
 lb8:; 
 for(int i=1;i<=5;i++)
 {
 MylabelDT1:;
 cout<<" Ban hay chon phep bien hinh: "<<endl<<endl;
 cout<<"1.Tinh tien 2.Ti le 3.Quay tam O 4.Doi Xung 5.Doi xung duong"<<endl;
 cin>>chon[i];setcolor(YELLOW); 
 if(chon[i]==1) 
 {
 cout>tty;
 cout>tty;
 TinhTienDaGiac(n,ttx,tty);
 VeDaGiac(n);
 }
 else
 if(chon[i]==2)
 {
 cout>tlx;
 cout>tly;
 TiLeDaGiac(n,tlx,tly);
 }
 else
 if(chon[i]==3)
 {
 cout>goc;
 QuayDaGiac(n,goc);
 VeDaGiac(n); 
 }
 else
 if(chon[i]==4)
 {
 cout>xtam;
 cout>ytam;
 DoiXungTamBatKy(n,xtam,ytam); 
 }
 else
 if(chon[i]==5)
 {
 cout<<"Nhap truc doi xung ax+by+c=0"<<endl;
 cout>a;cout>b;cout>c;
 VeDuong(a,b,c);
 DoiXungDuong(n,a,b,c);
 }
 else 
 {
 cout<<"Nhap sai phep bien hinh \n";
 cout<<"Moi ban nhap l trong cac phep bien hinh: "<<endl;
 goto MylabelDT1;
 }
 if((i=1)||(i=2)||(i=3)||(i=4)||(i=5))
 {
 cout<<endl;
 cout<<"Ban co muon tiep tuc khong?: \n"<<endl;
 MylabelDT2:;
 int t;
 cout<<"1.Quay lai tu dau 2. Tiep tuc 3.Thoat \n";
 cin>>t;
 if(t==1)
 {
 system("cls"); 
 cleardevice(); 
 VeTruc();
 goto Mylabel1;
 }
 if(t==2)
 {
 system("cls");
 VeTruc();
 goto MylabelDT1; 
 } 
 else
 if(t==3) exit(0);
 else
 {
 cout<<" Hay nhap lai lua chon :\n";
 goto MylabelDT2;
 }
 }
 }
}
 if(m==2)
 {
 float a,b,c,d;
 lb5:;
 cout>n;
 VenGiac(n);
 if(n<=0)
 {
 cout<<"So dinh cua ban khong dung xin moi nhap lai: \n"<<endl;
 goto lb5;
 } 
 cout<<"Ban co muon tiep tuc khong?: \n"<<endl;
 int t;
 cout<<" 1. Co 2.Khong";
 cin>>t;
 if(t==1)
 {
 system("cls") ; 
 VeTruc();
 goto lb9;
 }
 else
 {
 system("cls"); 
 cleardevice(); 
 VeTruc();
 goto Mylabel1;
 } 
 cout<<endl;
 lb9:; 
 for(int i=1;i<=5;i++)
 {
 Mylabel5:;
 cout<<" Hay chon mot trong cac phep bien hinh: "<<endl;
 cout<<"1.Tinh tien 2 lan 2.Ti le 2 lan 3.Quay tam bat ki 4.Quay+ti le 5.Tinh tien+ti le"<<endl;
 cin>>chon[i];setcolor(YELLOW);
 if(chon[i]==1)
 {
 cout>a;
 cout>b;
 cout>c;
 cout>d;
 TinhTien2LanDaGiac(n,a,b,c,d);
 VeDaGiac(n); 
 }
 else
 if(chon[i]==2) 
 { 
 cout>a;
 cout>b;
 cout>c;
 cout>d;
 TiLeDaGiac2Lan(n,a,b,c,d);
 VeDaGiac(n); 
 }
 else
 if(chon[i]==3)
 {
 cout>xtam;
 cout>ytam;
 cout>goc;
 QuayTamBatKy(n,xtam,ytam,goc); 
 }
 else
 if (chon[i]==4)
 {
 cout>tlx;
 cout>tly;
 cout>goc;
 QuayTiLe(n,tlx,tly,goc);
 }
 else
 if(chon[i]==5)
 {
 cout>ttx;
 cout>tty;
 cout>tlx;
 cout>tly;
 TinhTien_BienDoiTiLe(n,ttx,tty,tlx,tly);
 }
 else 
 {
 cout<<"Nhap sai toa do \n";
 cout<<"Moi ban nhap lai toa do: "<<endl;
 goto Mylabel5;
 }
 if((i=1)||(i=2)||(i=3)||(i=4)||(i=5))
 {
 cout<<"Ban co muon tiep tuc khong? \n"<<endl;
 MylabelDT6:;
 int t;
 cout<<"1.Quay lai tu dau 2. Tiep tuc 3.Thoat \n";
 cin>>t;
 if(t==1)
 {
 system("cls");
 cleardevice();
 VeTruc();
 goto Mylabel1;
 }
 else
 if(t==2)
 {
 system("cls");
 VeTruc();
 goto Mylabel5; 
 }
 else
 if(t==3) exit(0);
 else
 {
 cout<<" Hay nhap lai lua chon: \n";
 goto MylabelDT6;
 }
 }
}
}
 if(m==3)
 {
 cout<<" Danh sach thanh vien trong nhom: "<<endl<<endl;
 cout<<" 1: Ngo Thi Bich "<<endl;
 cout<<" 2: Nguyen Quang Mung "<<endl;
 cout<<" 3: Luong Thi Thu "<<endl; 
 cout<<"Ban co muon tiep tuc khong?: \n";
 MylabelDT3:;
 int t;
 cout<<"1.Co 2.Thoat \n";
 cin>>t;
 if(t==1)
 {
 system("cls");
 VeTruc();
 goto Mylabel1;
 }
 else
 if(t==2) exit(0);
 else
 {
 cout<<" Hay nhap lai lua chon: \n";
 goto MylabelDT3;
 } 
 }
 else
 if(m==4) exit(0);
 else
 {
 cout<<"Ban da nhap sai: \n";
 cout<<"Ban co muon tiep tuc khong?: \n";
 Mylabel6:;
 int t;cout>t;
 if(t==1) 
 {
 system("cls");
 VeTruc();
 goto Mylabel1;
 }
 else
 if(t==2) exit(0);
 else
 {
 cout<<"Nhap sai .Moi nhap lai :\n";
 goto Mylabel6;
 }
 } 
 getch(); 
 closegraph(); 
}