"""
Kachelung 35
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
h = 0.5 * math.sqrt(3.0) * r                     # Hoehe Dreieck
a = r*math.cos(math.pi/12)
b = r*math.sin(math.pi/12)

Abstand_x = 2*ruz + 2*a
Abstand_y = 2*ruz + 2*a

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

Faktor = 1000        # Skalierungsfaktor

Zwoelfeck = []
Viereck1 = []
Viereck2 = []
Sexeck = []
Dreieck1 = []
Dreieck2 = []

#Inversion = True
Inversion = False

def Invers(z):
    return 1/z

def CreateNullobjekt():
    obj = c4d.BaseObject(c4d.Onull)   # Nullobjekt erzeugen
    obj.SetName("Kachelung 35")
    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)


# Dreiecke 1 *********************************************************************
def CreateSplineObjectD1():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*4)
    dt= r/N
    dtb= 2*b/N
    zz = 0   # Zaehler Punkte

    # Dreiecksdaten erzeugen
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -15) + complex(ruz, 0)
        Dreieck1.append(z)
    for i in range(0,N):
        z = complex(ruz + a, b -i * dtb)
        Dreieck1.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 195) + complex(ruz + a, -b)
        Dreieck1.append(z)
    # Dreieck duplizieren und drehen
    for i in range(1,4):
        for j in range(0,3*N):
            z = Drehung(Dreieck1[j], -90*i)
            Dreieck1.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):
            x0 = -Abstand_x*NS + j*Abstand_x
            for i in range(0,3*N*4):
                z = Dreieck1[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)*4)
    for i in range(0, (2*NS+1)*(2*NS+1)*4):
        obj.SetSegment(i, 3*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Dreiecke 1")

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Dreiecke 2 *********************************************************************
def CreateSplineObjectD2():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*8)
    dt= r/N
    dtb= 2*b/N
    zz = 0   # Zaehler Punkte

    # Dreiecksdaten erzeugen
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -15) + complex(-a, 0)
        Dreieck2.append(z)
    for i in range(0,N):
        z = complex(0, b -i * dtb)
        Dreieck2.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 195) + complex(0, -b)
        Dreieck2.append(z)
    # Dreieck spiegeln
    for i in range(0,3*N):
        z = complex(-Dreieck2[i].real, Dreieck2[i].imag)
        Dreieck2.append(z)
    # Dreiecke verschieben
    for i in range(0,3*N*2):
        Dreieck2[i] = Dreieck2[i] + + complex(-(a + b), ruz + a)
    # Dreiecke spiegeln
    for i in range(0,3*N*2):
        z = complex(-Dreieck2[i].real, Dreieck2[i].imag)
        Dreieck2.append(z)
    # Dreieck duplizieren und drehen
    for i in range(0,3*N*4):
        z = Drehung(Dreieck2[i], 90)
        Dreieck2.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):
            x0 = -Abstand_x*NS + j*Abstand_x
            for i in range(0,3*N*8):
                z = Dreieck2[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)*8)
    for i in range(0, (2*NS+1)*(2*NS+1)*8):
        obj.SetSegment(i, 3*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Dreiecke 2")

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Sechsecke  ****************************************************************************
def CreateSplineObjectS():
    # Splineobjekte erzeugen
    obj = c4d.BaseObject(c4d.Ospline)
    obj.ResizeObject(N*6*(2*NS+1)*(2*NS+1)*4)
    dt= r/N  # Unterteilung Kante
    zz = 0   # Zaehler Punkte

    # Sechseckdaten erzeugen
    for i in range(0,N):
        z = complex(-h, -0.5 * r + i * dt)
        Sexeck.append(z)
    for k in range(1,6):
        for j in range(0,N):
            z = Drehung(Sexeck[j], 60*k)
            Sexeck.append(z)
    # Sechseck verschieben
    for i in range(0,6*N):
        Sexeck[i] = Sexeck[i] + complex(riz + h, 0)
    # Sechseck drehen
    for i in range(0,6*N):
        Sexeck[i] = Drehung(Sexeck[i], -45)
    # Sechseck duplizieren und drehen
    for k in range(1,4):
        for j in range(0,6*N):
            z = Drehung(Sexeck[j], 90*k)
            Sexeck.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):
            x0 = -Abstand_x*NS + j*Abstand_x
            for i in range(0,6*N*4):
                z = Sexeck[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)*4)
    for i in range(0, (2*NS+1)*(2*NS+1)*4):
        obj.SetSegment(i, 6*N, True)

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

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Vierecke 1 ********************************************************************
def CreateSplineObjectQ1():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*8)
    dt= r/N
    zz = 0   # Zaehler Punkte

    # Viereckssdaten erzeugen
    for i in range(0,N):
        z = complex(riz + i * dt, -0.5 * r)
        Viereck1.append(z)
    for i in range(0,N):
        z = complex(riz + r, -0.5 * r + i * dt)
        Viereck1.append(z)
    for i in range(0,N):
        z = complex(riz + r - i * dt, 0.5 * r)
        Viereck1.append(z)
    for i in range(0,N):
        z = complex(riz, 0.5 * r - i * dt)
        Viereck1.append(z)
    # Viereck drehen
    for i in range(0,4*N):
        Viereck1[i] = Drehung(Viereck1[i], -15)
    # Viereck Spiegeln
    for i in range(0,4*N):
        z = complex(Viereck1[i].real, -Viereck1[i].imag)
        Viereck1.append(z)
    # Vierecke duplizieren und drehen
    for k in range(1,4):
        for j in range(0,8*N):
            z = Drehung(Viereck1[j], -90*k)
            Viereck1.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):
            x0 = -Abstand_x*NS + j*Abstand_x
            for i in range(0,4*N*8):
                z = Viereck1[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)*8)
    for i in range(0, (2*NS+1)*(2*NS+1)*8):
        obj.SetSegment(i, 4*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Vierecke 1")

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Vierecke 2 ********************************************************************
def CreateSplineObjectQ2():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1))
    dt= r/N
    zz = 0   # Zaehler Punkte

    # Viereckssdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, -0.5 * r)
        Viereck2.append(z)
    for i in range(0,N):
        z = complex(0.5 * r, -0.5 * r + i * dt)
        Viereck2.append(z)
    for i in range(0,N):
        z = complex(0.5 * r - i * dt, 0.5 * r)
        Viereck2.append(z)
    for i in range(0,N):
        z = complex(-0.5 * r, 0.5 * r - i * dt)
        Viereck2.append(z)
    # Viereck drehen und verschieben
    for i in range(0,4*N):
        Viereck2[i] = Drehung(Viereck2[i], -45) + complex(ruz + a, ruz + a)

    for k in range(0,2*NS+1):
        y0 = -Abstand_y*NS + k*Abstand_y
        for j in range(0,2*NS+1):
            x0 = -Abstand_x*NS + j*Abstand_x
            for i in range(0,4*N):
                z = Viereck2[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))
    for i in range(0, (2*NS+1)*(2*NS+1)):
        obj.SetSegment(i, 4*N, True)

    obj[c4d.SPLINEOBJECT_CLOSED] = True
    obj.SetName("Vierecke 2")

    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)
    # Zwoelfeck drehen
    for i in range(0,12*N):
        Zwoelfeck[i] = Drehung(Zwoelfeck[i], -15)

    for k in range(0,2*NS+1):
        y0 = -Abstand_y*NS + k*Abstand_y
        for j in range(0,2*NS+1):
            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 = CreateSplineObjectQ1()
    slinobj3 = CreateSplineObjectQ2()
    slinobj4 = CreateSplineObjectS()
    slinobj5 = CreateSplineObjectD1()
    slinobj6 = CreateSplineObjectD2()


    doc.InsertObject(nullobj, None, None, True)
    doc.InsertObject(slinobj6, nullobj, None, True)
    doc.InsertObject(slinobj5, nullobj, None, True)
    doc.InsertObject(slinobj3, nullobj, None, True)
    doc.InsertObject(slinobj2, nullobj, None, True)
    doc.InsertObject(slinobj4, nullobj, None, True)
    doc.InsertObject(slinobj1, nullobj, None, True)


    c4d.EventAdd()

if __name__=='__main__':
    main()