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POMandelbrot zooms but image shifts and gets shrunk
 

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  1. POMandelbrot zooms but image shifts and gets shrunk
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    <p>I have been doing Mandelbrot set and trying to zoom but zooming patters gets very troubling. When i zoom it zooms perfectly but the image size is reduced to half of the original. Next time I zoom again the pic size increases and tries to skip the viewing window. The code is in c++/opengl. I tried to make my code little clean before posting here.</p> <pre><code>#include &lt;GL/glut.h&gt; #include &lt;math.h&gt; #include &lt;stdio.h&gt; #include &lt;stdlib.h&gt; double dividecubesby = 700; double left = -2.0; double right = 2.0; double bottom = -2.0; double top = 2.0; int maxiteration = 128; int zoomlevel = 3; double baseSize = 4.0; double SizeReal; double SizeImage; double xco=0.0; double yco=0.0; void whatcoordinate(int x,int y) { int xp=x; int yp=y; double delta1 = (right-left); double tempx; double tempy; double delta=0.0; double l = dividecubesby/2; delta = delta1/dividecubesby; if((xp &gt; l) &amp;&amp; (yp &lt; l)) { tempx = xp*delta; tempy = yp*delta; xco = right - tempx; yco = top - tempy; if(xco &lt;0)xco=xco*-1; if(yco &lt;0)yco=yco*-1; } else if( (x &lt; l) &amp;&amp; (y &lt; l)) { tempx = xp*delta; tempy = yp*delta; xco = right - tempx; yco = top - tempy; if(xco &gt;0)xco=xco*-1; if(yco &lt;0) yco =yco*-1; } else if((x &lt; l) &amp;&amp; (y &gt; l)) { tempx = xp*delta; tempy = yp*delta; xco = right - tempx; yco = top - tempy; if(xco &gt;0)xco=xco*-1; if(yco &gt;0)yco=yco*-1; } else if((x &gt; l) &amp;&amp; (y &gt; l)) { tempx = xp*delta; tempy = yp*delta; xco = right - tempx; yco = right - tempy; if(xco &lt;0)xco=xco*-1; if(yco &gt;0)yco=yco*-1; } } void keyPressed(unsigned char key, int x, int y) { switch(key) { case 'z': printf("z pressed x= %d, y= %d \n",x,y); whatcoordinate(x,y); SizeReal = (pow(2.0, (-zoomlevel)))*baseSize; SizeImage = (pow(2.0, (-zoomlevel)))*baseSize; baseSize = right-left; left = xco- (SizeReal/2); right = xco + (SizeReal/2); bottom = yco - (SizeReal/2); top = yco + (SizeReal/2); dividecubesby = dividecubesby+500; maxiteration = maxiteration+500; zoomlevel=zoomlevel+1; glutPostRedisplay(); break; } } int mandtest(double Cr, double Ci) { double Zr = 0.0; double Zi = 0.0; int times = 0; double temp; Zr = Zr+Cr; Zi = Zi+Ci; while ((((Zr*Zr)+(Zi*Zi))&lt;=4) &amp;&amp; (times &lt; maxiteration)) { temp = (Zr*Zr)-(Zi*Zi); Zi = 2*Zr*Zi; Zr = temp+Cr; Zi = Zi+Ci; times = times+1; } return times; } void display() { glClear(GL_COLOR_BUFFER_BIT); glColor3f(1.0f,1.0f,1.0f); double deltax = ((right - left)/(dividecubesby-1));//this means length/700 double deltay = ((top- bottom)/(dividecubesby-1));// this means length/700 gluOrtho2D(left,right,bottom,top); glBegin(GL_POINTS); for(double x= left;x&lt;=right;x += deltax ) { for(double y= bottom; y&lt;=top;y += deltay ) { if((mandtest(x,y))==maxiteration) { glColor3f(1.0f,1.0f,1.0f); glVertex2f(x,y); } else { glColor3f((float)mandtest(x,y)/10,0.0f,(float)mandtest(x,y)/30); glVertex2f(x,y); } } } glEnd(); glFlush(); } void init() { glClearColor(0.0, 0.0, 0.0, 0.0); glMatrixMode(GL_PROJECTION); glLoadIdentity(); } int main(int argc, char ** argv) { glutInit(&amp;argc, argv); glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); glutInitWindowSize(dividecubesby,dividecubesby); glutCreateWindow("A Simple OpenGL Windows Application with GLUT"); init(); glutDisplayFunc(display); glutKeyboardFunc(keyPressed); glutMainLoop(); return 0; } </code></pre> <p>when executed </p> <p>1) <img src="https://i.stack.imgur.com/ctYy9.png" alt="enter image description here"> </p> <p>2)<img src="https://i.stack.imgur.com/M10I4.png" alt="enter image description here"></p> <p>3) <img src="https://i.stack.imgur.com/7y59w.png" alt="enter image description here"></p>
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    1. COPlease provide cleaner code and a minimal example. Probably the scaling does not depend on the Mandelbrot calculation itsels.
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    2. COi have edited some part of code .. i do the scaling by picking a point and adding small distance " SizeReal = (pow(2.0, (-zoomlevel)))*baseSize;" on left right top bottom .. but i have no idea why the image just tries to run away from the normal view :(
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    3. CO[Render your 'brot to a texture and use OpenGL to display *that*.](http://rosettacode.org/wiki/Mandelbrot_set#PPM_Interactive) What you have is *immensely* inefficient.
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