# $Id: Tori.py 2150 2012-01-16 20:33:48Z bverheg $ *** pyformex ***
##
##  This file is part of pyFormex 0.8.6  (Mon Jan 16 21:15:46 CET 2012)
##  pyFormex is a tool for generating, manipulating and transforming 3D
##  geometrical models by sequences of mathematical operations.
##  Home page: http://pyformex.org
##  Project page:  http://savannah.nongnu.org/projects/pyformex/
##  Copyright 2004-2011 (C) Benedict Verhegghe (benedict.verhegghe@ugent.be) 
##  Distributed under the GNU General Public License version 3 or later.
##
##
##  This program is free software: you can redistribute it and/or modify
##  it under the terms of the GNU General Public License as published by
##  the Free Software Foundation, either version 3 of the License, or
##  (at your option) any later version.
##
##  This program is distributed in the hope that it will be useful,
##  but WITHOUT ANY WARRANTY; without even the implied warranty of
##  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
##  GNU General Public License for more details.
##
##  You should have received a copy of the GNU General Public License
##  along with this program.  If not, see http://www.gnu.org/licenses/.
##
#
"""Torus variants

level = 'normal'
topics = ['geometry']
techniques = ['programming','widgets','globals']

"""

def torus(m,n,surface=True):
    """Create a torus with m cells along big circle and n cells along small."""
    if surface:
        C = Formex([[[0,0,0],[1,0,0],[0,1,0]],[[1,0,0],[1,1,0],[0,1,0]]],[1,3])
    else:
        C = Formex('l:164',[1,2,3])
    F = C.replic2(m,n,1,1)
    G = F.translate(2,1).cylindrical([2,1,0],[1.,360./n,1.])
    H = G.translate(0,5).cylindrical([0,2,1],[1.,360./m,1.])
    return H


def series():
    view='iso'
    for n in [3,4,6,8,12]:
        for m in [3,4,6,12,36]:
            clear()
            draw(torus(m,n),view)
            view=None
        
def drawTorus(m,n):
    clear()
    draw(torus(m,n),None)
    
def nice():
    drawTorus(72,36)


m = 20
n = 10
while not dialogTimedOut():
    res = askItems([('m',m,'slider',{'text':'Number of elements along large circle','min':3,'max':72}),
                    ('n',n,'slider',{'text':'Number of elements along small circle','min':3,'max':36})
                    ])
    if not res:
        break
    
    globals().update(res)
    drawTorus(m,n)

# End
