/[cvs]/fract/mandelzoom.cgi
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revision 1.1 by teddy, Sat Feb 24 21:36:47 2001 UTC revision 1.6 by teddy, Mon Feb 26 03:13:13 2001 UTC
# Line 1  Line 1 
1  #!/usr/bin/python  #!/usr/bin/python
2    
3  import cgi, Image, ImageDraw, sys  import cgi, Image, ImageDraw, sys, math
4  from string import atoi  from string import atoi, atof
5    
6    # This is to get backtrace output
7    sys.stderr = sys.stdout
8    
9    # Uncomment this to get the backtrace more readable
10    #print "Content-Type: text/plain"
11    #print ""
12    
13  form= cgi.FieldStorage()  form= cgi.FieldStorage()
14    
15  # Image size  # Image size
16  if form.has_key('width'):  if form.has_key('width'):
17      width=atoi(form['width'].value)      width= atoi(form['width'].value)
18  else:  else:
19      width= 570      width= 480
20  if form.has_key('height'):  if form.has_key('height'):
21      height=atoi(form['height'].value)      height= atoi(form['height'].value)
22  else:  else:
23      height= 570      height= 480
24    
25  xmax, ymax = width-1, height-1          # Coordinate maximums  xmax, ymax = width-1, height-1          # Coordinate maximums
26    
27    # Complex number in center of image is (cx+cy*j)
28    if form.has_key('cx'):
29        cx= atof(form['cx'].value)
30    else:
31        cx= 0.0
32    
33    if form.has_key('cy'):
34        cy= atof(form['cy'].value)
35    else:
36        cy= 0.0
37    
38    if form.has_key('diag'):
39        diag= atof(form['diag'].value)
40    else:
41        diag= math.sqrt(32) # sqrt(4**2 + 4**2)
42    
43  debug= form.has_key('debug')  debug= form.has_key('debug')
 if debug:  
     del form['debug']  
44    
45  if form.has_key('iter'):  if form.has_key('iter'):
46      maxiter=atoi(form['iter'].value)      maxiter= atoi(form['iter'].value)
     del form['iter']  
47  else:  else:
48      maxiter= 270      maxiter= 270
49    
50  sys.stderr = sys.stdout  # If type!=image, then output an HTML page, not an image
51  print "Content-Type: text/plain"  if not (form.has_key('type') and form['type'].value == "image"):
 print ""  
   
 # If type==html, then output an HTML page, not an image  
 if form.has_key('type') and form['type'].value == "html":  
     del form['type']  
52      print """Content-Type: text/html      print """Content-Type: text/html
53    
54  <!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.0//EN">  <!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.0//EN">
55  <HTML><HEAD>  <HTML><HEAD>
56  <TITLE>Mandel Set Zoomer</TITLE>  <TITLE>Mandelbrot Set Zoomer</TITLE>
57  </HEAD>  </HEAD>
58  <BODY>  <BODY>
59  <H1>Mandel Set Zoomer</H1>  <H1>Mandelbrot Set Zoomer</H1>
60    
61  <FORM ACTION="mandelzoom.cgi" METHOD=GET>  <FORM ACTION="mandelzoom.cgi" METHOD=GET>
62    
63  <!-- implies TYPE=SUBMIT -->  <!-- implies TYPE=SUBMIT -->"""
64      <INPUT TYPE=IMAGE NAME="image" SRC="mandelzoom.cgi?%s" ALIGN=BOTTOM      print '<INPUT TYPE=IMAGE NAME="image"',
65      HEIGHT="%s" WIDTH="%s">      print 'WIDTH="%s"' % (str(width)),
66        print 'HEIGHT="%s"' % (str(height)),
67        if debug:
68            ds="&debug=on"
69        else:
70            ds=""
71        if form.has_key('image.x') and form.has_key('image.y'):
72            # Adjust cx and cy
73            ix= atof(form['image.x'].value)
74            iy= atof(form['image.y'].value)
75            owidth= atof(form['owidth'].value)
76            oheight= atof(form['oheight'].value)
77            diagp= math.sqrt(width**2 + height**2)
78            scale= diagp/diag
79            cx= (ix/scale) + (cx - (width / (scale*2)))
80            cy= ((height-iy)/scale) + (cy - (height / (scale*2)))
81        if form.has_key('zoom'):
82            zoom=atof(form['zoom'].value)
83            diag=diag/zoom
84        else:
85            # If no zoom provided, don't actually zoom
86            zoom= 2.0
87        print 'SRC="mandelzoom.cgi?type=image&width=%s&height=%s&iter=%s%s&diag=%s&cx=%s&cy=%s"' % (str(width), str(height), str(maxiter), ds, str(diag), str(cx), str(cy)),
88        print 'ALIGN=BOTTOM HEIGHT="%s"' % (str(height)),
89        print 'WIDTH="%s"><P>' % (str(width))
90        print 'Zoom: <SELECT NAME="zoom">'
91        for zv in [1.0/5, 1.0/3, 1.0/2, 1.0/1.5, 1.0, 1.5, 2.0, 3.0, 5.0]:
92            print '<OPTION',
93            if str(zv)==str(zoom):
94                print 'SELECTED',
95            print 'VALUE="%s"' % (str(zv))
96            if zv == 1:
97                print '>Pan'
98            elif zv < 1:
99                print '>Out ÷%s' % (str(1/zv))
100            else:
101                print '>In ×%s' % (str(zv))
102        print '</SELECT>'
103        print """Width: <INPUT TYPE=TEXT NAME="width" MAXLENGTH="4" SIZE="3"
104        VALUE="%s">
105        Height: <INPUT TYPE=TEXT NAME="height" MAXLENGTH="4" SIZE="3"
106        VALUE="%s">
107      Iterations: <INPUT TYPE=TEXT NAME="iter" MAXLENGTH="4" SIZE="3"      Iterations: <INPUT TYPE=TEXT NAME="iter" MAXLENGTH="4" SIZE="3"
108      VALUE="%s">      VALUE="%s">
109      Debug mode: <INPUT TYPE=CHECKBOX NAME="debug" %s>"""      Debug mode: <INPUT TYPE=CHECKBOX NAME="debug" """ % (str(width), str(height), str(maxiter)),
110      for key in form.keys():      if debug:
111          print '<INPUT TYPE=HIDDEN NAME="%s" VALUE="%s">' % (key, form[key].value)          print 'CHECKED>'
112        else:
113            print '>'
114        print '<INPUT TYPE=SUBMIT VALUE="Apply">'
115        for var in (("diag", diag), ("cx", cx), ("cy", cy), ("owidth", width),
116                    ("oheight", height)):
117            print '<INPUT TYPE=HIDDEN NAME="%s" VALUE="%s">' % var
118        print '<INPUT TYPE=HIDDEN NAME=type VALUE="html">'
119    
120      print """</FORM>      print """</FORM>
121  </BODY></HTML>"""  </BODY></HTML>"""
122      sys.exit(0)      sys.exit(0)
123    
124  c1, c2 = (-2+2j), (2-2j)                # Corner coordinates  # Figure out c1 and c2 from width, height, diag, cx, and cy.
125    # Diagonal in pixels
126    diagp= math.sqrt(width**2 + height**2)
127    # Scale between pixels and coordinates
128    scale= diagp/diag
129    x= (width/2.0)/scale
130    y= (height/2.0)/scale
131    
132    c1= cx - x + (cy - y) * (0+1j)
133    c2= cx + x + (cy + y) * (0+1j)
134    
135    #print width, height, diag, cx, cy, diagp, scale, x, y, c1, c2
136    #sys.exit(0)
137    
138    #c1, c2 = (-2+2j), (2-2j)                # Corner coordinates
139    
140  # Force c1 to be upper left and c2 to be lower right  # Force c1 to be upper left and c2 to be lower right
141  c1, c2= complex(min(c1.real, c2.real), max(c1.imag, c2.imag)), \  c1, c2= complex(min(c1.real, c2.real), max(c1.imag, c2.imag)), \
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