$($Help with part B$)$ Modify the code developed on the homework #$1$ to

a$)$ Translate $($move$)$ the whole object $($ the star, the circle and the point that moves around$)$ along the x axis using the $->$ and $<-$ keys on the keyboard

b$)$ Rotate the whole object around the z axis using the shift $->$ and shift $<-$ keys on the keyboard.

$($Here$\text{'}$s the already developed code, part A is already done.$)$

#include

#include

const int windowWidth $=650$;

const int windowHeight $=600$;

const float circleRadius $=0\mathrm{.}5$f;

const float pointSize $=5\mathrm{.}0$f;

const float pointSpeed $=0\mathrm{.}01$f;

float pointAngle $=0\mathrm{.}0$f;

float figurePositionX $=0\mathrm{.}0$f; $//$ Initial x$-$position of the figures

void init$()\{$

glClearColor$(0\mathrm{.}15$f$,0\mathrm{.}10$f$,0\mathrm{.}20$f$,1\mathrm{.}0$f$)$; $//$color violeta dark

glMatrixMode$($GL$\_$PROJECTION$)$;

glLoadIdentity$()$;

gluOrtho$2$D$(-1\mathrm{.}0,1\mathrm{.}0,-1\mathrm{.}0,1\mathrm{.}0)$;

$\}$

void drawCircle$()\{$

glColor$3$f$(1\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0)$; $//$color rosa

glBegin$($GL$\_$LINE$\_$LOOP$)$;

for $($int i $=0$; i $<360$; $++$i$)\{$

float angle $=$ i $*3\mathrm{.}14159/180$;

glVertex$2$f$($circleRadius $*$ cos$($angle$)+$ figurePositionX, circleRadius $*$ sin$($angle$))$;

$\}$

glEnd$()$;

$\}$

void drawPoint$()\{$

glColor$3$f$(0\mathrm{.}0,1\mathrm{.}0,0\mathrm{.}0)$; $//$color verde

glPointSize$($pointSize$)$;

glBegin$($GL$\_$POINTS$)$;

glVertex$2$f$($circleRadius $*$ cos$($pointAngle$)+$ figurePositionX, circleRadius $*$ sin$($pointAngle$))$;

glEnd$()$;

$\}$

void drawStar$()\{$

glColor$3$f$(1\mathrm{.}0,1\mathrm{.}0,0\mathrm{.}0)$; $//$color amarillo

glLineWidth$(3\mathrm{.}0)$; $//$intentando hacer la estrella mas gruesa

float innerRadius $=$ circleRadius $*0\mathrm{.}382$f;

glPushMatrix$()$;

glTranslatef$($figurePositionX$,0\mathrm{.}0$f$,0\mathrm{.}0$f$)$; $//$ Translate along x$-$axis

glRotatef$(90\mathrm{.}0$f$,0\mathrm{.}0$f$,0\mathrm{.}0$f$,1\mathrm{.}0$f$)$; $//$enderezala$!$

glBegin$($GL$\_$LINE$\_$LOOP$)$;

for $($int i $=0$; i $<360$; i $+=72)\{$

float angle $=$ i $*3\mathrm{.}14159/180$;

glVertex$2$f$($circleRadius $*$ cos$($angle$),$ circleRadius $*$ sin$($angle$))$;

angle $+=36*3\mathrm{.}14159/180$;

glVertex$2$f$($innerRadius $*$ cos$($angle$),$ innerRadius $*$ sin$($angle$))$;

$\}$

glEnd$()$;

glPopMatrix$()$;

$\}$

void display$()\{$

glClear$($GL$\_$COLOR$\_$BUFFER$\_$BIT$)$;

glMatrixMode$($GL$\_$MODELVIEW$)$;

glLoadIdentity$()$;

drawCircle$()$;

drawStar$()$;

drawPoint$()$;

glutSwapBuffers$()$;

$\}$

void update$($int value$)\{$

pointAngle $-=$ pointSpeed;

if $($pointAngle $<0\mathrm{.}0)$

pointAngle

const int windowWidth $=650$;

const int windowHeight $=600$;

const float circleRadius $=0\mathrm{.}5$f;

const float pointSize $=5\mathrm{.}0$f;

const float pointSpeed $=0\mathrm{.}01$f;

float pointAngle $=0\mathrm{.}0$f;

float figurePositionX $=0\mathrm{.}0$f; $//$ Initial x$-$position of the figures

void init$()\{$

glClearColor$(0\mathrm{.}15$f$,0\mathrm{.}10$f$,0\mathrm{.}20$f$,1\mathrm{.}0$f$)$; $//$color violeta dark

glMatrixMode$($GL$\_$PROJECTION$)$;

glLoadIdentity$()$;

gluOrtho$2$D$(-1\mathrm{.}0,1\mathrm{.}0,-1\mathrm{.}0,1\mathrm{.}0)$;

$\}$

void drawCircle$()\{$

glColor$3$f$(1\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0)$; $//$color rosa

glBegin$($GL$\_$LINE$\_$LOOP$)$;

for $($int i $=0$; i $<360$; $++$i$)\{$

float angle $=$ i $*3\mathrm{.}14159/180$;

glVertex$2$f$($circleRadius $*$ cos$($angle$)+$ figurePositionX, circleRadius $*$ sin$($angle$))$;

$\}$

glEnd$()$;

$\}$

void drawPoint$()\{$

glColor$3$f$(0\mathrm{.}0,1\mathrm{.}0,0\mathrm{.}0)$; $//$color verde

glPointSize$($pointSize$)$;

glBegin$($GL$\_$POINTS$)$;

glVertex$2$f$($circleRadius $*$ cos$($pointAngle$)+$ figurePositionX, circleRadius $*$ sin$($pointAngle$))$;

glEnd$()$;

$\}$

void drawStar$()\{$

glColor$3$f$(1\mathrm{.}0,1\mathrm{.}0,0\mathrm{.}0)$; $//$color amarillo

glLineWidth$(3\mathrm{.}0)$; $//$intentando hacer la estrella mas gruesa

float innerRadius $=$ circleRadius $*0\mathrm{.}382$f;

glPushMatrix$()$;

glTranslatef$($figurePositionX$,0\mathrm{.}0$f$,0\mathrm{.}0$f$)$; $//$ Translate along x$-$axis

glRotatef$(90\mathrm{.}0$f$,0\mathrm{.}0$f$,0\mathrm{.}0$f$,1\mathrm{.}0$f$)$; $//$enderezala$!$

glBegin$($GL$\_$LINE$\_$LOOP$)$;

for $($int i $=0$; i $<360$; i $+=72)\{$

float angle $=$ i $*3\mathrm{.}14159/180$;

glVertex$2$f$($circleRadius $*$ cos$($angle$),$ circleRadius $*$ sin$($angle$))$;

angle $+=36*3\mathrm{.}14159/180$;

glVertex$2$f$($innerRadius $*$ cos$($angle$),$ innerRadius $*$ sin$($angle$))$;

$\}$

glEnd$()$;

glPopMatrix$()$;

$\}$

void display$()\{$

glClear$($GL$\_$COLOR$\_$BUFFER$\_$BIT$)$;

glMatrixMode$($GL$\_$MODELVIEW$)$;

glLoadIdentity$()$;

drawCircle$()$;

drawStar$()$;

drawPoint$()$;

glutSwapBuffers$()$;

$\}$

void update$($int value$)\{$

pointAngle $-=$ pointSpeed;

if $($pointAngle $<0\mathrm{.}0)$

pointAngle $+=2*3\mathrm{.}14159$;

glutPostRedisplay$()$;

glutTimerFunc$(16,$ update, $0)$;

$\}$

void specialKeys$($int key, int x$,$ int y$)\{$

switch $($key$)\{$

case GLUT$\_$KEY$\_$LEFT:

figurePositionX $-=0\mathrm{.}1$f; $//$ Move figures left

break;

case GLUT$\_$KEY$\_$RIGHT:

figurePositionX $+=0\mathrm{.}1$f; $//$ Move figures right

break;

$\}$

glutPostRedisplay$()$;

$\}$

int main$($int argc, char$**$ argv$)\{$

glutInit$($&argc, argv$)$;

glutInitDisplayMode$($GLUT$\_$DOUBLE $|$ GLUT$\_$RGB$)$;

glutInitWindowSize$($windowWidth$,$ windowHeight$)$;

glutCreateWindow$("$Star and Moving Point"$)$;

init$()$;

glutDisplayFunc$($display$)$;

glutSpecialFunc$($specialKeys$)$; $//$ Register special key callback

glutTimerFunc$(0,$ update, $0)$;

glutMainLoop$()$;

return $0$;

$\}$