# $Id$
##
##  This file is part of pyFormex 0.8.9  (Fri Nov  9 10:49:51 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 2004-2012 (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/.
##
"""Scallop Dome

"""
from __future__ import print_function
_status = 'checked'
_level = 'normal'
_topics = ['geometry','domes']
_techniques = ['dialog', 'color']

from gui.draw import *

def run():
    # This example is fully annotated with comments in the message board
    # First we define a function to display a Formex and then wait for the user
    # to click the Step button
    def show(F,view='front',clearscr=True):
        if clearscr:
            clear()
        draw(F,view=view)
        pf.canvas.update()

    # Here we go
    message("Create a triangular pattern in the first octant")
    f1 = Formex([[[0,0],[1,0]],[[1,0],[1,1]]]).replic2(8,8,1,1,0,1,1,-1) + Formex([[[1,0],[2,1]]]).replic2(7,7,1,1,0,1,1,-1)
    show(f1)
    #
    message("Remove some of the bars")
    f1 = f1.remove(Formex([[[2,0],[3,1]]]).replic(3,2,0))
    show(f1)
    #
    message("Transform the octant into a circular sector")
    f2 = f1.circulize1()
    f1.setProp(1)
    f2.setProp(2)
    show(f1+f2)
    clear()
    #draw(f2)

    #
    message("Make circular copies to obtain a full circle")
    show(f1+f2.rosette(6,60.))
    # Create and display a scallop dome using the following parameters:
    # n = number of repetitions of the base module in circumference (this does not
    #     have to be equal to 6: the base module will be compressed/expanded to
    #     generate a full circle
    # f = if 1, the dome will have sharp edges where repeated modules meet;
    #     if 2, the dome surface will be smooth over neighbouring modules.
    # c = height of the dome at the center of the dome.
    # r = height of the arcs at the circumference of the dome. 
    def scallop(n,f,c,r):
        func = lambda x,y,z: [x,y,c*(1.-x*x/64.)+r*x*x/64.*4*power((1.-y)*y,f)]
        a=360./n
        f3 = f2.toCylindrical([0,1,2]).scale([1.,1./60.,1.])
        f4 = f3.map(func).cylindrical([0,1,2],[1.,a,1.]).rosette(n,a)
        message("Scallop Dome with n=%d, f=%d, c=%f, r=%f" % (n,f,c,r))
        return f4

    message("Create a dome from the circular layout")
    f2.setProp(3)
    pf.canvas.camera.setAngles([0.,-45.])
    show(scallop(6,1,2,0),None,False)


    howmany = ask("How many / Which domes do you want?",
                  ['One','Sequence','Custom','None'])

    n,f,c,r = [6,1,2.,0.]

    if howmany == 'One':
       # The example from the pyformex homepage
       show(scallop(6,1,4,4),None)

    elif howmany == 'Sequence':
       # Present some nice examples
        for n,f,c,r in [
            [6,1,2,0],
            [6,1,2,2],
            [6,1,2,5],
            [6,1,2,-2],
            [6,1,-4,4],
            [6,1,0,4],
            [6,1,4,4],
            [6,2,2,-4],
            [6,2,2,4],
            [6,2,2,8],
            [12,1,2,-2],
            [12,1,2,2] ]:
            show(scallop(n,f,c,r),None)

    elif howmany == 'Custom':
       # Customized version
       while True:
           res = askItems([['n',n],['f',f],['c',c],['r',r]])
           n = int(res['n'])
           f = int(res['f'])
           c = float(res['c'])
           r = float(res['r'])
           show(scallop(n,f,c,r),None)
           if not ack("Want to try another one?"):
               return

if __name__ == 'draw':
    run()
# End

       
   
