Bai Tap Do Hoa

7/31/2019 Bai Tap Do Hoa

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BI TP TUN 3

1. Ly li code BT9 tun 1 thm vo 1 s lnh ca php xoay 90o ngc chiu kim ng h parabol

c dng nh sau: trc khi xoay mu en, sau khi xoay mu

#include

#include

#include

typedef float MATRAN[3][3];

double PI=3.1415926535897932384626433832795;

float goc=PI/2;

const int width=640;

const int height=480;

int xtam=0,ytam=0;

void initQuay(MATRAN m)

{

m[0][0]=cos(goc);

m[0][1]=sin(goc);


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m[0][2]=0;

m[1][0]=-sin(goc);

m[1][1]=cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}

void biendiem(int &xtam,int &ytam, MATRAN m)

{

int x1,y1;

x1=xtam*m[0][0] + ytam* m[1][0] + m[2][0];

y1=xtam*m[0][1]+ ytam*m[1][1] +m[2][1];

xtam=x1;

ytam=y1;

}

void myInit()

{

glClearColor(1.0,1.0,1.0,0.0);

glColor3f(0.0f,0.0f,0.0f);

glPointSize(4.0);

glMatrixMode(GL_PROJECTION);

glLoadIdentity();

gluOrtho2D(0,width,0,height);

}

int Round(double a)


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{

return(int)(a+0.5);

}

void setPixel(int x,int y)

{

glBegin(GL_POINTS);

glVertex2i(x,y);

glEnd();

return;

}

void parabol(int xc, int yc,int a,MATRAN m)

{

int x, y;

int xa = Round(1.0*a/2);

int p = 2-a;

x=0; y=0;

setPixel(xc+x,yc+y);

setPixel(xc-x,yc+y);

while (x


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}

x++;

glColor3f(0.0,0.0,0.0);



xtam=x; // t bin phu trnh iu kin x thay doi thi while n sai

ytam=y;

biendiem(xtam,ytam,m);

glColor3f(1.0,0.0,0.0);

setPixel(xc+xtam,yc+ytam);

xtam=-x;

ytam=y;



glColor3f(0.0,0.0,0.0);

}

p = 4*x*x + 4*x - 4*a*y - 4*a + 1 ;

while (y


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MATRAN m;

initQuay(m);

parabol(300,200,100,m);

glFlush();

}

int main(int argc,char* argv[])

{

glutInit(&argc, argv);//initialize the tool kit

glutInitDisplayMode(GLUT_SINGLE |GLUT_RGB);//set the display mode

glutInitWindowSize(640,480);//set window size

glutInitWindowPosition(100,150);// set window position on screen

glutCreateWindow("Bai 1");// open the screen window

glutDisplayFunc(myDisplay);

myInit();

glutMainLoop();

return 0;

}


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2. Ly li code BT8 tun 1 thm vo 1 s lnh ca php bin dng ellipse thu nh 2 ln c dngnh sau:

Trc khi thu nh mu , sau khi thu nh mu xanh dng

#include

#include

#include

const GLint width =640;

const GLint height= 480;


void initTiLe(float sx,float sy,MATRAN m)

{

m[0][0]=sx;

m[0][1]=0;


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m[0][2]=0;

m[1][0]=0;

m[1][1]=sy;

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}

void biendiem(int &x,int &y, MATRAN m)

{

int x1,y1;

x1=x*m[0][0] + y* m[1][0] + m[2][0];

y1=x*m[0][1]+y*m[1][1] +m[2][1];

x=x1;

y=y1;

}

void myInit()

{


glColor3f(0.0f, 1.0f, 0.0f);

glPointSize(3.0);


glLoadIdentity();

gluOrtho2D(0.0, width, 0.0, height);

}

void putPixel(GLint x, GLint y)


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{

glBegin(GL_POINTS);

glVertex2i(x,y);

glEnd();

return;

}

void put4pixel(int xc,int yc,int x,int y)

{

putPixel(xc+x,y+yc);

putPixel(xc-x,y+yc);

putPixel(xc-x,yc-y);

putPixel(xc+x,yc-y);

}

//Ve eclipse theo theo thuat toan Bresenham

void eclipseBresenham(int xc, int yc, int a, int b,MATRAN m) {

int xtam,ytam;

int x,y;

double z1,z2,p;

x=0;y=b;

z1=(double)(b*b)/(a*a);

z2=(double)1/z1;

p=2*z1-(2*b)+1;

while(z1*(double)x/y


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xtam=x;

ytam=y;


glColor3f(0.0,0.0,1.0);

put4pixel(xc, yc, xtam, ytam);

glColor3f(1.0,0.0,0.0);

if (p


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else

{

p+=2*z2*(2*y+3)+4*(1-x);

x--;

}

y++;

}

}

void myDisplay()

{

glClear(GL_COLOR_BUFFER_BIT);

glColor3f(1.0,0.0,1.0);

glBegin(GL_LINES);

glVertex2i(50,height/2);

glVertex2i(600,height/2);

glVertex2i(width/2,50);


glEnd();

MATRAN m;

initTiLe(0.5f,0.5f,m);

eclipseBresenham(width/2,height/2,100,70,m);

glFlush();

}

int main(int argc, char* argv[])

{

glutInit(&argc, argv); //initialize the tool kit


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glutInitWindowSize(width, height); //set window size

glutInitWindowPosition(100, 150); // set window position on screen

glutCreateWindow("Bai 2"); // open the screen window


myInit();

glutMainLoop();

return 0;

}

3. Ly li code BT9 tun 1 thm vo 1 s lnh ca php xoay 90o cng chiu kim ng h, sau thunh parabol 2 ln parabol c dng nh sau: mu en trc khi xoay, mu sau khi xoay 90 o

cng chiu kim ng h, mu xanh thu nh 2 ln

#include

#include

#include


typedef float MATRAN1[3][3];


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double PI=3.1415926535897932384626433832795;

float goc=-PI/2;



float sx=0.5f,sy=0.5f;


{

m[0][0]=cos(goc);

m[0][1]=sin(goc);

m[0][2]=0;

m[1][0]=-sin(goc);

m[1][1]=cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}

void initQuay_Tile(MATRAN1 m)

{

m[0][0]=sx*cos(goc);

m[0][1]=sy*sin(goc);

m[0][2]=0;


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m[1][0]=-sx*sin(goc);

m[1][1]=sy*cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}


{

int x1,y1;

x1=xtam*m[0][0] + ytam* m[1][0] + m[2][0];

y1=xtam*m[0][1]+ ytam*m[1][1] +m[2][1];

xtam=x1;

ytam=y1;

}

void myInit()

{



glPointSize(3.0);


glLoadIdentity();


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gluOrtho2D(0.0,width,0,height);

}

//ham lam tron

int Round(double a)

{

return(int)(a+0.5);

}

// ham set pixel


{

glBegin(GL_POINTS);

glVertex2i(x,y);

glEnd();

return;

}

// v parabol

void parabol(int xc, int yc,int a,MATRAN m,MATRAN1 m1)

{

int xtam=0,ytam=0;

int x, y;


int p = 2-a;


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x=0; y=0;

glColor3f(0.0,0.0,0.0);



while (x


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biendiem(xtam,ytam,m); // bien cung thu 2


glColor3f(0.0,0.0,1.0); // mau xanh ve hinh 3

xtam=x;

ytam=y;

biendiem(xtam,ytam,m1); // ve cung 1


xtam=-x;

ytam=y;



glColor3f(0.0,0.0,0.0); // quay ve mau den ban dau

}

p = 4*x*x + 4*x - 4*a*y - 4*a + 1 ;

while (y


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else

p = p - 4*a;

y++;



xtam=x;

ytam=y;

glColor3f(1.0,0.0,0.0); // mau do ve hinh 2



xtam=-x;

ytam=y;



glColor3f(0.0,0.0,1.0); // mau xanh ve hinh 3

xtam=x;

ytam=y;



xtam=-x;


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ytam=y;



glColor3f(0.0,0.0,0.0); // quay ve mau den ban dau

}

return;

}

void myDisplay()

{


glColor3f(0,0,1.0);

glBegin(GL_LINES);

glVertex2i(150,200);




glEnd();

glColor3f(1.0,0.0,0.0);

HWND hWnd;

MATRAN m;

MATRAN1 m1;

initQuay_Tile(m1);


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initQuay(m);

parabol(300,200,100,m,m1);

glFlush();

}

//hm main


{







myInit();

glutMainLoop();

return 0;

}

4. Ci t thut ton t mu theo ng bin dng quy. Kt qu nh hnh: mu bin mu , mut mu xanh


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#include

#include

void setPixel(int x, int y, GLfloat color[3]);

void getPixel(int x, int y, GLfloat color[3]);

bool ktTrungMau(GLfloat color1[3], GLfloat color2[3]);

void FillLeft(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3]);

void FillTop(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3]);

void FillRight(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3]);

void FillBottom(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3]);

void BoundaryFillEnhanced(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3]);

void myInit();

void myDisplay();



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{



glutInitWindowSize(width,height);//set window size




myInit();

glutMainLoop();

return 0;

}

void setPixel(int x, int y, GLfloat color[3])

{

glRasterPos2i(x,y);

glDrawPixels(1,1,GL_RGB,GL_FLOAT,color);

return;

}

// tr v mu sc ti im x,y. mu thng c to thnh t luc lam

void getPixel(int x, int y, GLfloat color[3])

{


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glReadPixels(x,y,1,1,GL_RGB,GL_FLOAT,color);

return;

}

// khi kim tra mu, ta phi kim tra c 3 mu ca im ny c trng vi im kia hay khng

bool ktTrungMau(GLfloat color1[3], GLfloat color2[3])

{

if (color1[0]==color2[0] && color1[1]==color2[1] && color1[2]==color2[2])

return true; // mu bi trng ri, khng t c

else

return false; // mu khng bi trng, t vy l t c

}

void FillLeft(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3])

{

GLfloat color[3]; // mu hin ti

getPixel(x,y,color); // lu mu vo mng color

// nu mu t F_color v mu ng bin B_color khc vi mu ca mt im trong hnhth tin hnh t

if(!ktTrungMau(F_Color,color)&& !ktTrungMau(B_Color,color))

{

setPixel(x,y,F_Color);

FillLeft(x-1, y, F_Color, B_Color);

FillTop(x, y+1, F_Color, B_Color);

FillBottom(x, y-1, F_Color, B_Color);


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}

} // FillLeft

void FillTop(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3])

{


getPixel(x,y,color);


{




FillRight(x+1, y, F_Color, B_Color);

}

} // FillTop

void FillRight(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3])

{




{




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}

} // FillRight

void FillBottom(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3])

{




{





}

} // FillBottom

void BoundaryFillEnhanced(int x, int y, GLfloat F_Color[3], GLfloat B_Color[3])

{




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{






}

} // BoundaryFillEnhanced

void myInit()

{



glPointSize(1.0);


glLoadIdentity();

gluOrtho2D(0.0,width,0,height);

}

void myDisplay()

{


glColor3f(1.0,0.0,0.0);

glBegin(GL_LINE_LOOP);


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glEnd();

GLfloat F_Color[3]={0.0f,0.0f,1.0f};

GLfloat B_Color[3]={1.0f,0.0f,0.0f};

BoundaryFillEnhanced(120,107,F_Color,B_Color);

glFlush();

}

5. Ly li code BT8 tun 1 thm vo 1 s lnh ca php quay quay ellipse theo chiu kim ng h1 gc 45o c dng nh sau: mu trc khi xoay, mu xanh sau khi xoay


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#include

#include

#include

#include

const GLint width =640;

const GLint height= 480;


float PI=3.1415926535897932384626433832795;

float goc=-PI/4;


{

m[0][0]=cos(goc);

m[0][1]=sin(goc);

m[0][2]=0;

m[1][0]=-sin(goc);

m[1][1]=cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;


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}

void biendiem(int &x,int &y, MATRAN m)

{

int x1,y1;

x1=x*m[0][0] + y* m[1][0] + m[2][0];

y1=x*m[0][1]+y*m[1][1] +m[2][1];

x=x1;

y=y1;

}

void myInit()

{


glColor3f(0.0f, 1.0f, 0.0f);

glPointSize(3.0);


glLoadIdentity();

gluOrtho2D(0.0, width, 0.0, height);

}

void putPixel(GLint x, GLint y)

{

glBegin(GL_POINTS);

glVertex2i(x,y);


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glEnd();

return;

}

//Ve eclipse theo theo thuat toan Bresenham

void eclipseBresenham(int xc, int yc, int a, int b,MATRAN m) {

int xtam,ytam;

int x,y;

double z1,z2,p;

x=0;y=b;

z1=(double)(b*b)/(a*a);

z2=(double)1/z1;

p=2*z1-(2*b)+1;

while(z1*(double)x/y


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glColor3f(0.0,0.0,1.0);

putPixel(xc+xtam,ytam+yc);

xtam=-x;

ytam=y;



xtam=-x;

ytam=-y;



xtam=x;

ytam=-y;



glColor3f(1.0,0.0,0.0);

if (p


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}

x++;

}

x=a;y=0;

p=2*z2-2*a+1;

while(z2*(double)y/x


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xtam=x;

ytam=-y;



if (p


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glEnd();

MATRAN m;

initQuay(m);

eclipseBresenham(width/2,height/2,100,70,m);

glFlush();

}

int main(int argc, char* argv[])

{

glutInit(&argc, argv); //initialize the tool kit


glutInitWindowSize(width, height); //set window size

glutInitWindowPosition(100, 150); // set window position on screen

glutCreateWindow("Bai 5"); // open the screen window


myInit();

glutMainLoop();

return 0;

}

6. Ly li code BT9 tun 1 thm vo 1 s lnh ca php xoay 45o ngc chiu kim ng h parabolc dng nh sau: mu en trc khi xoay, mu sau khi xoay 45o ngc chiu kim ng h


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#include

#include #include


double PI=3.1415926535897932384626433832795;

float goc=PI/4;



int xtam=0,ytam=0;


{

m[0][0]=cos(goc);

m[0][1]=sin(goc);

m[0][2]=0;

m[1][0]=-sin(goc);


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m[1][1]=cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}


{

int x1,y1;

x1=xtam*m[0][0] + ytam* m[1][0] + m[2][0];

y1=xtam*m[0][1]+ ytam*m[1][1] +m[2][1];

xtam=x1;

ytam=y1;

}

void myInit()

{



glPointSize(4.0);



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glLoadIdentity();


}

//ham lam tron

int Round(double a)

{

return(int)(a+0.5);

}

// ham set pixel


{

glBegin(GL_POINTS);

glVertex2i(x,y);

glEnd();

return;

}

// v parabol

void parabol(int xc, int yc,int a,MATRAN m)

{

int x, y;


int p = 2-a;


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x=0; y=0;



while (x


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xtam=-x; // t bin phu trnh iu kin x thay doi thi while n sai

ytam=y;



glColor3f(0.0,0.0,0.0);

}

p = 4*x*x + 4*x - 4*a*y - 4*a + 1 ;

while (y


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glColor3f(1.0,0.0,0.0);


xtam=-x; // t bin phu trnh iu kin x thay doi thi while n sai

ytam=y;



glColor3f(0.0,0.0,0.0);

}

return;

}

void myDisplay()

{


glColor3f(0,0,1.0);

glBegin(GL_LINES);





glEnd();

glColor3f(1.0,0.0,0.0);


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MATRAN m;

initQuay(m);

parabol(300,200,100,m);

glFlush();

}

//hm main


{







myInit();

glutMainLoop();

return 0;

}

7. Dng thut ton Bresenham v Hyperbol 12

2

2

2

=

b

y

a

xra gia mn hnh . Ca s c kch thc

640x480


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#include

#include

#include



void myInit()

{



glPointSize(2.0);


glLoadIdentity();

gluOrtho2D(0.0,width,0.0,height);

}


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//ham lam tron

int Round(double a)

{

return(int)(a+0.5);

}

// ham set pixel


{

glBegin(GL_POINTS);

glVertex2i((x+300),(200-y));

glVertex2i((-x+300),(200-y));

glVertex2i((x+300),(200+y));

glVertex2i((-x+300),(200+y));

glEnd();

return;

}

void hyperbolBress(double a,double b)

{

//double x=a,y=0;

//double d1 = (2*a*a) - (b*b) - (2*a*b*b);


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//setPixel(x,y);

//while((a*a*y)


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// y++;

// x++;

// }

// else

// {

// d1+= -2.0f*b*b*a*a*(2*x+3);

// x++;

// }

// setPixel(x,y);

//}

//---------------------------------------------------------------- Thu cach nay

float x=a,y=0,d=b*b*4*a-4*a*a+b*b;

setPixel(x,y);

while (a*a*a*a>=x*x*(a*a-b*b))

{

if (d100) break;


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}

while (x


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glEnd();

glColor3f(1.0,0.0,0.0);

hyperbolBress(100,100);

glFlush();

}

//hm main


{







myInit();

glutMainLoop();

return 0;

}


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8. Ly li code BT7T3 thm vo 1 s lnh ca php xoay 90o ngc chiu kim ng h hyperbolc dng nh sau: mu l mu trc khi xoay, mu en l mu sau khi xoay. Ca s c kchthc 640x640.

#include

#include

#include

#include


double PI=3.1415926535897932384626433832795;

float goc=PI/2;



int xc=300;

int yc=200;


{


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m[0][0]=cos(goc);

m[0][1]=sin(goc);

m[0][2]=0;

m[1][0]=-sin(goc);

m[1][1]=cos(goc);

m[1][2]=0;

m[2][0]=0;

m[2][1]=0;

m[2][2]=1;

}

void myInit()

{



glPointSize(2.0);


glLoadIdentity();


}

//ham lam tron


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int Round(double a)

{

return(int)(a+0.5);

}

// ham set pixel


{

glBegin(GL_POINTS);

glVertex2i(x+xc,y+yc);

glEnd();

return;

}


{

int x1,y1;

x1=xtam*m[0][0] + ytam* m[1][0] + m[2][0];

y1=xtam*m[0][1]+ ytam*m[1][1] +m[2][1];

xtam=x1;

ytam=y1;

}

void hyperbolBress(double a,double b,MATRAN m)

{

int xtam=0,ytam=0;


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float x=a,y=0,d=b*b*4*a-4*a*a+b*b;

glColor3f(1,0,0);

setPixel(x,y);

setPixel(-x,y);

setPixel(-x,-y);

setPixel(x,-y);

while (a*a*a*a>=x*x*(a*a-b*b))

{

if (d


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setPixel(xtam,ytam);

xtam=x;

ytam=-y;



xtam=-x;

ytam=y;



xtam=-x;

ytam=-y;



glColor3f(1,0,0);

if (y>100) break;

}

while (x


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else {

d=d+b*b*8*x+12*b*b-a*a*8*y-8*a*a;

y++;

}

x++;

//setPixel(x,y);

glColor3f(0,0,0);

xtam=x;

ytam=y;



xtam=x;

ytam=-y;



xtam=-x;

ytam=y;



xtam=-x;

ytam=-y;


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glColor3f(1,0,0);

}

}

void myDisplay()

{


glColor3f(0,0,1.0);

glBegin(GL_LINES);



glVertex2i(300,50);


glEnd();

glColor3f(1.0,0.0,0.0);

MATRAN m;

initQuay(m);

hyperbolBress(100,100,m);

glFlush();

}


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//hm main


{







myInit();

glutMainLoop();

return 0;

}

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