Vec2d* bezier(Vec2d a,Vec2d b, Vec2d c,Vec2d d,float points){

 //float points = 1000;

 int p = points;

 Vec2d array[p];

 int i = 0;

  glBegin(GL_LINE_STRIP);

 for (float p = 0; p < 1.0 ; p=(p+(1.0/points))){

Vec2d e=((a * pow(1.0-p,3.0 ))+ (b * 3.0 * pow(1.0-p,2.0)*p) +(c * 3.0 * pow(p,2.0)*(1.0-p)) + (d * pow(p,3.0)));

 glVertex2f(e.x, e.y);

 array[i] = e; //put staarting vect in array

 i++; //increment array

 }

   glEnd();    //A*b*b*b + B*3*b*b*p + C*3*b*p*p + D*p*p*p

    return array;

 }

void drawBezs(Vec2d * _a, int _b){

// printf( " hellowwwwww \n" );

 float r= 1;

 float g= 1;

 float b= 1;

for (int i =0; i < _b; i++){

  r = r - ((1.0/_b)); //color points

  g = g - ((1.0/_b) ); //color points

  b = b - ((1.0/_b) ); //color points

  glColor3f( 1,1,b ); //color

       if (i%4 == 0){

  // printf( " hello %d \n",i );

        bezier(_a[i],_a[i+1], _a[i+2],_a[i+3],1000.0);

              }

          }

}

////////////////////////************//////////////////////////////////

void displayFunc ( void )  //arg void returns void

{

glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT );//clears buffers(what buffers?) by setting bit mask or.

glColor3f( 1,1,1 );//sets color can add a alpha on end 255,255,255,255

//glRectf( mouseX-rectSize, mouseY-rectSize, mouseX+rectSize, mouseY+rectSize); //two arguments cords of perp corners this case based on mouse

   Vec2d a(400.0,50.0); //bez starting points

   Vec2d b(500.0,200.0); 

   Vec2d c(600.0,200.0);

   Vec2d d(700.0,50.0);

   Vec2d h(0.0,0.0);

   Vec2d varray[500];

   Vec2d * startArraay; //pointer to array 

   int count =0;

   startArraay = bezier(a,b,c,d,132.0);// sets beging points using another bez curve

for( int i=0; i<500; i += 4 )

{

// start point

varray[ i ].x = startArraay[count].x;

varray[ i ].y = startArraay[count].y;

      count++;

// control point 1

varray[ i+1].x = i+100 ;

varray[ i+1].y = 400;

// control point 2

varray[ i+2 ].x = i-100;

varray[ i+2 ].y = 200-i/4;

// end point

varray[ i+3].x = (startArraay[count].x)-300+i*1.5;//50+i*3;

varray[ i+3].y = (startArraay[count].y)+200; //100-i*1;

}

    glPointSize(10.0);

       // glBegin(GL_LINE_STRIP);

        drawBezs(varray,500);

  // glEnd();

     glutPostRedisplay(); //tags the current window to be redisplayed or shown through the

                    //next iteration loop. will stop all animation

glutSwapBuffers(); //calls for the display of a the current buffer for the curretn window 

                  // i assume to cut down on jerky motion

}