"""
Kachelung 4
10.09.2015
"""

import c4d
import math

# Variablen und Konstanten
N = 5                              # Anzahl Punkte pro Kante
r = 1.0                            # Kantenlaenge
riz = 0.5*r*(2 + math.sqrt(3.0))   # Inkreisradius Zwoelfeck
h = math.sqrt(3.0) *riz
h1 = 0.5* math.sqrt(3.0)*r         # Hoehe Dreieck

Abstand_x = 2*riz
Abstand_y = h
Versatz_x = riz

NS = 3          #  Anzahl Wiederholungen in eine Richtung
if NS%2 ==0:    # nur ungerade NS zulassen
    NS = NS +1
  
Faktor = 1000        # Skalierungsfaktor

Zwoelfeck = []
Dreieck = []

#Inversion = True
Inversion = False

def Invers(z):
    return 1/z

def CreateNullobjekt():    
    obj = c4d.BaseObject(c4d.Onull)   # Nullobjekt erzeugen
    obj.SetName("Kachelung 4") 
    obj.Message(c4d.MSG_UPDATE)
    return obj

def Drehung(z, Grad):
    Winkel = Grad * math.pi/180
    x = z.real
    y = z.imag     
    x1 = math.cos(Winkel) * x + math.sin(Winkel) * y  
    y1 = -math.sin(Winkel) * x + math.cos(Winkel) * y 
    return complex(x1, y1)
     


# Zwölfecke ************************************************************************************
def CreateSplineObjectZ():    
    # Splineobjekte erzeugen
    obj1 = c4d.BaseObject(c4d.Ospline)   
    obj1.ResizeObject(N*12*(2*NS+1)*(2*NS+1))      
    dt= r/N  # Unterteilung Kante
    zz = 0   # Zaehler Punkte        
    # Zwölfeckdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, -riz)              
        Zwoelfeck.append(z)
    for k in range(1,12):        
        for j in range(0,N):
            z = Drehung(Zwoelfeck[j], -30*k)              
            Zwoelfeck.append(z)     
    for k in range(0,2*NS+1):                    
        y0 = -NS*Abstand_y + k*Abstand_y
        for j in range(0,2*NS+1):                
            if k%2 == 0.0: 
                x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x                        
            else:    
                x0 = -Abstand_x*NS + j*Abstand_x             
            for i in range(0,12*N):
                z = Zwoelfeck[i] + complex(x0, y0)   
                if Inversion:
                    z = Invers(z)
                obj1.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0))            
                zz = zz + 1
    
    obj1.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1))     
    for i in range(0, (2*NS+1)*(2*NS+1)):
        obj1.SetSegment(i, 12*N, True)  

    obj1[c4d.SPLINEOBJECT_CLOSED] = True
    obj1.SetName("Zwölfecke")
       
    obj1.Message(c4d.MSG_UPDATE)
    return obj1


# Dreiecke *****************************************************************************
def CreateSplineObjectD():    
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*2)      
    dt= r/N

    zz = 0   # Zaehler Punkte    
    
    # Dreiecksdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, -0.5 * h1)              
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)          
        z = Drehung(z, -120) + complex(0.5*r, - 0.5*h1)    
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)    
        z = Drehung(z, 120) + complex(0.0, 0.5*h1)
        Dreieck.append(z)
    # Dreieck verschieben    
    for i in range(0,3*N):        
        Dreieck[i] = Dreieck[i] + complex(riz,-0.5 * r - 0.5*h1)
    # Dreieck verschieben         
    for i in range(0,3*N):           
        z =  complex( Dreieck[i].real, - Dreieck[i].imag)
        Dreieck.append(z)        
        
    for k in range(0,2*NS+1):          
        y0 = -NS*Abstand_y + k*Abstand_y
        for j in range(0,2*NS+1):                              
            if k%2 == 0.0: 
                x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x
            else:     
                x0 = -Abstand_x*NS + j*Abstand_x 
            for i in range(0,3*N*2):
                z = Dreieck[i] + complex(x0, y0)   
                if Inversion:
                    z = Invers(z)
                obj.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0))            
                zz = zz + 1


    obj.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*2)     
    for i in range(0, (2*NS+1)*(2*NS+1)*2):
        obj.SetSegment(i, 3*N, True)  

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Dreiecke")
       
    obj.Message(c4d.MSG_UPDATE)
    return obj


def main():
    nullobj = CreateNullobjekt()        
    slinobj1 = CreateSplineObjectZ()
    slinobj2 = CreateSplineObjectD()  
       
    doc.InsertObject(nullobj, None, None, True)
    doc.InsertObject(slinobj1, nullobj, None, True)
    doc.InsertObject(slinobj2, nullobj, None, True)   
    
    c4d.EventAdd()



if __name__=='__main__':
    main()