"""
Minkowski Kurve
27.08.2019
www.3d-meier.de
"""

import c4d
import random
import math
import cmath

# Variablen und Konstanten
Titel = 'Minkowski Kurve' # Name
N = 1000000          # Anzahl Punkte
Nv = 100             # Anzahl Punkte verwerfen
dx = 1.30            # Breite Polygon
dy = 1.30            # Hoehe Polygon
Faktor = 1000        # Skalierungsfaktor


def CreatePolygonObject():
    obj = c4d.BaseObject(c4d.Opolygon)
    obj.ResizeObject(4*N, N)
    obj.SetName(Titel)
  # Startwert der Berechnung
    z = complex(0.50, 0)

  # Zähler für Punkte setzten     
    zz = 0
  # Zähler für Polygone setzten 
    zzz = 0
    for i in xrange(0,Nv):
        zufall = random.randint(0,7)                               
        if zufall == 0:
           z =  complex(1, 0)*z/4.0 + complex(0, 0)/4.0
        if zufall == 1:
           z =  complex(0, 1)*z/4.0 + complex(1, 0)/4.0 
        if zufall == 2:
           z =  complex(1, 0)*z/4.0 + complex(1, 1)/4.0
        if zufall == 3:
           z =  complex(0, -1)*z/4.0 + complex(2, 1)/4.0
        if zufall == 4:
           z =  complex(0, -1)*z/4.0 + complex(2, 0)/4.0
        if zufall == 5:
           z =  complex(1, 0)*z/4.0 + complex(2, -1)/4.0
        if zufall == 6:
           z =  complex(0, 1)*z/4.0 + complex(3, -1)/4.0
        if zufall == 7:
           z =  complex(1, 0)*z/4.0 + complex(3, 0)/4.0
    for i in xrange(0,N):
        zufall = random.randint(0,7)   
        if zufall == 0:
           z =  complex(1, 0)*z/4.0 + complex(0, 0)/4.0
        if zufall == 1:
           z =  complex(0, 1)*z/4.0 + complex(1, 0)/4.0 
        if zufall == 2:
           z =  complex(1, 0)*z/4.0 + complex(1, 1)/4.0
        if zufall == 3:
           z =  complex(0, -1)*z/4.0 + complex(2, 1)/4.0
        if zufall == 4:
           z =  complex(0, -1)*z/4.0 + complex(2, 0)/4.0
        if zufall == 5:
           z =  complex(1, 0)*z/4.0 + complex(2, -1)/4.0
        if zufall == 6:
           z =  complex(0, 1)*z/4.0 + complex(3, -1)/4.0
        if zufall == 7:
           z =  complex(1, 0)*z/4.0 + complex(3, 0)/4.0
                      
        x = z.real*Faktor
        y = z.imag*Faktor
        obj.SetPoint(zz, c4d.Vector((x-dx/2.0),(y+dy/2.0),0))
        zz=zz+1
        obj.SetPoint(zz, c4d.Vector((x-dx/2.0),(y-dy/2.0),0))
        zz=zz+1                
        obj.SetPoint(zz, c4d.Vector((x+dx/2.0),(y+dy/2.0),0))
        zz=zz+1        
        obj.SetPoint(zz, c4d.Vector((x+dx/2.0),(y-dy/2.0),0))
        zz=zz+1        
        obj.SetPolygon(zzz, c4d.CPolygon(zz-1,zz-2,zz-4,zz-3))
        zzz=zzz+1     

    #
    obj.Message(c4d.MSG_UPDATE)
    return obj



def main():
    plyobj = CreatePolygonObject()
   
    #
    doc.InsertObject(plyobj, None, None, True)
   
    c4d.EventAdd()



if __name__=='__main__':
    main()