"""
Kachelung 47
12.10.2015
"""

import c4d
import math

# Variablen und Konstanten
N = 5                                                   # Anzahl Punkte pro Kante
r = 1.0                                                 # Kantenlaenge

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
h = 0.5 * math.sqrt(3.0) * r                            # Hoehe Dreieck
ria = r/(2.0*math.tan(math.pi/18))                      # Inkreisradius Achtzehneck
rua = r/(2*math.sin(math.pi/18))                        # Umkreisradius Achtzehneck
a = r*math.cos(2*math.pi/9.0)                           # Daten Raute
b = r*math.sin(2*math.pi/9.0)                           # Daten Raute

Abstand_x = 2*(rua + a)
Abstand_y = ria + rin + run + b
Versatz_x = rua + a

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

Faktor = 1000        # Skalierungsfaktor

Achtzehneck = []
Neuneck = []
Raute = []
Dreieck = []

#Inversion = True
Inversion = False

def Invers(z):
    return 1/z

def CreateNullobjekt():
    obj = c4d.BaseObject(c4d.Onull)   # Nullobjekt erzeugen
    obj.SetName("Kachelung 47")
    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)


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

    # Rautendaten erzeugen
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 40)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -40) + complex(a, -b)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -140) + complex(2*a, 0)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 140) + complex(a, b)
        Raute.append(z)
    # Raute verschieben
    for i in range(0,4*N):
        Raute[i] = Raute[i] + complex(rua, 0)
    # Raute duplizieren und drehen
    for i in range(0,4*N):
        z = Drehung(Raute[i], -60)
        Raute.append(z)
    for i in range(0,4*N):
        z = Drehung(Raute[i], 60)
        Raute.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*3):
                z = Raute[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)*3)
    for i in range(0, (2*NS+1)*(2*NS+1)*3):
        obj.SetSegment(i, 4*N, True)

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

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Dreiecke ******************************************************************************
def CreateSplineObjectD():
    obj = c4d.BaseObject(c4d.Ospline)   # Splineobjekt erzeugen
    obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*12)
    dt= r/N
    zz = 0   # Zaehler Punkte

    # Dreiecksdaten erzeugen
    for i in range(0,N):
        z = complex( -0.5 *r + i * dt, ria)
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -120) + complex(0.5*r, ria)
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 120) + complex(0, ria + h)
        Dreieck.append(z)
    # Dreieck drehen
    for i in range(0,3*N):
        Dreieck[i] = Drehung(Dreieck[i], 20)
    # Dreieck duplizieren und drehen
    for i in range(0,3*N):
        z =  Drehung(Dreieck[i], 20)
        Dreieck.append(z)
    # Dreiecke duplizieren und drehen
    for k in range(1,6):
        for i in range(0,6*N):
            z = Drehung(Dreieck[i], -60*k)
            Dreieck.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(0,3*N*12):
                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)*12)
    for i in range(0, (2*NS+1)*(2*NS+1)*12):
        obj.SetSegment(i, 3*N, True)

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

    obj.Message(c4d.MSG_UPDATE)
    return obj


# Achtzehnecke ****************************************************************************
def CreateSplineObjectA():
    # Splineobjekte erzeugen
    obj = c4d.BaseObject(c4d.Ospline)
    obj.ResizeObject(N*18*(2*NS+1)*(2*NS+1))
    dt= r/N  # Unterteilung Kante
    zz = 0   # Zaehler Punkte

    # Achtzehneckdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, -ria )
        Achtzehneck.append(z)
    for k in range(1,18):
        for j in range(0,N):
            z = Drehung(Achtzehneck[j], -20*k)
            Achtzehneck.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(0,18*N):
                z = Achtzehneck[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, 18*N, True)

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

    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( -0.5 * r + i * dt, -rin)
        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 und drehen
    for i in range(0,9*N):
        z = Neuneck[i] + complex(0, ria + rin)
        Neuneck[i] = Drehung(z, 60)
    # Neuneck duplizieren und drehen
    for i in range(0,9*N):
        z = Drehung(Neuneck[i], 60)
        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

def main():
    nullobj = CreateNullobjekt()
    slinobj1 = CreateSplineObjectA()
    slinobj2 = CreateSplineObjectN()
    slinobj3 = CreateSplineObjectD()
    slinobj4 = CreateSplineObjectR()

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


    c4d.EventAdd()

if __name__=='__main__':
    main()