"""
Kachelung 42
12.10.2015
"""

import c4d
import math

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

Abstand_x = r + h
Abstand_y = r + h
Versatz_x = 0.5*r
Versatz_y = 0.5*r

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

Faktor = 1000        # Skalierungsfaktor

Dreieck = []
Quadrat = []
Raute = []

#Inversion = True
Inversion = False

def Invers(z):
    return 1/z

def CreateNullobjekt():
    obj = c4d.BaseObject(c4d.Onull)   # Nullobjekt erzeugen
    obj.SetName("Kachelung 42")
    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)


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

    # Quadratdaten erzeugen
    for i in range(0,N):
        z = complex(-0.5 * r + i * dt, -0.5 * r)
        Quadrat.append(z)
    for i in range(0,N):
        z = complex(0.5 * r, -0.5 * r + i * dt)
        Quadrat.append(z)
    for i in range(0,N):
        z = complex(0.5 * r - i * dt, 0.5 * r)
        Quadrat.append(z)
    for i in range(0,N):
        z = complex(-0.5 * r, 0.5 * r - i * dt)
        Quadrat.append(z)

    for k in range(0,2*NS+1):
        x1 = -Versatz_x*NS + k*Versatz_x
        y1 = -Abstand_y*NS + k*Abstand_y
        for j in range(0,2*NS+1):
            x0 = -Abstand_x*NS + j*Abstand_x
            y0 = -Versatz_y*NS + j*Versatz_y
            for i in range(0,4*N):
                z = Quadrat[i] + complex(x0, y0) + complex(x1, y1)
                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("Quadrate")

    obj.Message(c4d.MSG_UPDATE)
    return obj


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

    # Rautendaten erzeugen
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -30) + complex(0.5*r, 0.5*r)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, -60) + complex(0.5*r + h, r)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 150) + complex(r + h, r + h)
        Raute.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 120) + complex(r, 0.5*r + h)
        Raute.append(z)

    for k in range(0,2*NS+1):
        x1 = -Versatz_x*NS + k*Versatz_x
        y1 = -Abstand_y*NS + k*Abstand_y
        for j in range(0,2*NS+1):
            x0 = -Abstand_x*NS + j*Abstand_x
            y0 = -Versatz_y*NS + j*Versatz_y
            for i in range(0,4*N):
                z = Raute[i] + complex(x0, y0) + complex(x1, y1)
                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("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)*4)
    dt= r/N
    zz = 0   # Zaehler Punkte

    # Dreiecksdaten erzeugen
    for i in range(0,N):
        z = complex(0.5 * r, -0.5 *r + i * dt)
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 30) + complex(0.5*r, 0.5*r)
        Dreieck.append(z)
    for i in range(0,N):
        z = complex(i * dt, 0)
        z = Drehung(z, 150) + complex(0.5*r + h, 0)
        Dreieck.append(z)
    # Dreiecke duplizieren und drehen
    for k in range(1,4):
        for j in range(0,3*N):
            z = Drehung(Dreieck[j], -90*k)
            Dreieck.append(z)

    for k in range(0,2*NS+1):
        x1 = -Versatz_x*NS + k*Versatz_x
        y1 = -Abstand_y*NS + k*Abstand_y
        for j in range(0,2*NS+1):
            x0 = -Abstand_x*NS + j*Abstand_x
            y0 = -Versatz_y*NS + j*Versatz_y
            for i in range(0,12*N):
                z = Dreieck[i]  + complex(x0, y0) + complex(x1, y1)
                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")

    obj.Message(c4d.MSG_UPDATE)
    return obj


def main():
    nullobj = CreateNullobjekt()
    slinobj1 = CreateSplineObjectQ()
    slinobj2 = CreateSplineObjectR()
    slinobj3 = CreateSplineObjectD()
    
    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()