"""
Kachelung 37
12.10.2015
"""

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
ruz = 0.5*r*(math.sqrt(6.0) + math.sqrt(2.0))            # Umkreisradius Zwoelfeck
rin = (r* math.cos(math.pi/9))/(2*math.sin(math.pi/9))   # Inkreisradius Neuneck
run = 0.5*r/math.sin(1*math.pi/9)                        # Umkreisradius Neuneck

a = r*math.cos(7*math.pi/18.0)
b = r*math.sin(7*math.pi/18.0)
c = r - 2*a

Abstand_x = 2*(riz + run + rin) + c
Abstand_y = riz + b
Versatz_x = riz + run + rin + 0.5*c

NS = 5       # Anzahl Wiederholungen in eine Richtung
if NS%2 ==0: # nur ungerade NS zulassen
    NS = NS +1

Faktor = 1000        # Skalierungsfaktor

Zwoelfeck = []
Neuneck = []
Trapez = []

#Inversion = True
Inversion = False

def Invers(z):
    return 1/z

def CreateNullobjekt():
    obj = c4d.BaseObject(c4d.Onull)   # Nullobjekt erzeugen
    obj.SetName("Kachelung 37")
    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)


# Trapeze ********************************************************************
def CreateSplineObjectT():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*6)
    dt = r/N
    dtc= c/N
    zz = 0   # Zaehler Punkte

    # Trapezdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, riz)
        Trapez.append(z)
    for i in range(0,N):
        z = complex(i * dt ,0)
        z = Drehung(z, -110) + complex(0.5*r, riz)
        Trapez.append(z)
    for i in range(0,N):
        z = complex(0.5*c - i * dtc, riz + b)
        Trapez.append(z)
    for i in range(0,N):
        z = complex(i * dt ,0)
        z = Drehung(z, 110) + complex(-0.5*c, riz + b)
        Trapez.append(z)
    # Trapez duplizieren und drehen
    for i in range(1,6):
        for j in range(0,4*N):
            z = Drehung(Trapez[j], -60*i)
            Trapez.append(z)

    for k in range(0,2*NS+1):
        y0 = -Abstand_y*NS + 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(0,4*N*6):
                z = Trapez[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)*6)
    for i in range(0, (2*NS+1)*(2*NS+1)*6):
        obj.SetSegment(i, 4*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Trapeze")

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Neunecke **********************************************************************************
def CreateSplineObjectN():
    # Splineobjekte erzeugen
    obj = c4d.BaseObject(c4d.Ospline)
    obj.ResizeObject(N*9*(2*NS+1)*(2*NS+1)*2)
    dt= r/N  # Unterteilung Kante
    zz = 0   # Zaehler Punkte

    # Neuneckdaten erzeugen
    for i in range(0,N):
        z = complex(-rin, -0.5 * r + i * dt)
        Neuneck.append(z)
    for k in range(1,9):
        for j in range(0,N):
            z = Drehung(Neuneck[j], 40*k)
            Neuneck.append(z)
    # Neuneck verschieben
    for i in range(0,9*N):
        Neuneck[i] = Neuneck[i] + complex(riz + rin, 0)
    # Neuneck spiegeln
    for i in range(0,9*N):
        z = complex(-Neuneck[i].real, Neuneck[i].imag)
        Neuneck.append(z)

    for k in range(0,2*NS+1):
        y0 = -Abstand_y*NS + 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(0,9*N*2):
                z = Neuneck[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, 9*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Neunecke")

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Zwoelfecke **********************************************************************************
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

    # Zwoelfeckdaten 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 = -Abstand_y*NS + 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("Zwoelfecke")

    obj1.Message(c4d.MSG_UPDATE)
    return obj1


def main():
    nullobj = CreateNullobjekt()
    slinobj1 = CreateSplineObjectZ()
    slinobj2 = CreateSplineObjectN()
    slinobj3 = CreateSplineObjectT()

    doc.InsertObject(nullobj, None, None, True)
    doc.InsertObject(slinobj3, nullobj, None, True)
    doc.InsertObject(slinobj2, nullobj, None, True)
    doc.InsertObject(slinobj1, nullobj, None, True)

    c4d.EventAdd()

if __name__=='__main__':
    main()