05.02.2020

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Aktueller Code für Blender 3D:

import bpy
from random import random, randint
from math import *
import numpy as np
 
 
 
#   KLASSEN
 
class Sphere(object):
    pos = np.array([0,0,0])
    radius = 0
    epsilon = 0.001
 
    def __init__(self, pos, radius):
        self.pos = pos
        self.radius = radius
 
    def punktInKugel(self, p):
        if (abstandPunkte(self.pos, p) < self.radius - self.epsilon):
            print(abstandPunkte(self.pos, p), self.radius)
            return True
        else:
            return False
 
class Tetraeder(object):
    verts = []
    faces = []
    sp = np.array([0,0,0])
    name = "tetraeder"
    umkugel = Sphere(np.array([0,0,0]), 0)
 
    def __init__(self, verts, name):
        self.name = name
        self.verts = verts
        self.faces = [(0,1,2),(1,2,3),(2,3,0),(3,0,1)]
        if (self.schwerpunkt()[0] != None):
            self.sp = self.schwerpunkt()
            self.umkugel = Sphere(self.sp,abstandPunkte(self.sp,self.verts[0]))
        else:
            self.sp = np.array([None,None,None])
 
    def schwerpunkt(self):
        v1 = np.subtract(self.verts[1],self.verts[0])
        v2 = np.subtract(self.verts[2],self.verts[0])
        v3 = np.subtract(self.verts[3],self.verts[0])
 
        sp = tetraSchwerpunkt(self.verts[0],v1,v2,v3)
        return sp
 
    def selfRender(self, ker):
        frei = True
        for m in range(0, len(ker)):
            if (self.umkugel.punktInKugel(ker[m]) == True):
                frei = False
                print("shit", ker[m])
        if (frei == True):
            generateObj("Tetraeder", t.verts, t.faces, (0,0,0))
            #zeichnePunkt(t.sp, "Schwerpunkt")
 
class Gerade(object):
    ov = (0,0,0)
    rv = (0,0,0)
 
    def __init__(self,ov,rv):
        self.ov = ov
        self.rv = rv
 
    def punktAn(self,k):
        punkt = np.add(self.ov,(self.rv[0]*k,self.rv[1]*k,self.rv[2]*k))
        return punkt
 
 
 
#   FUNKTIONEN
 
def schnittTest(g1,g2):
    a = [[g2.rv[0],-g1.rv[0]],[g2.rv[1],-g1.rv[1]]]
    b = [[g1.ov[0]-g2.ov[0]],[g1.ov[1]-g2.ov[1]]]
 
    print("Det :",np.linalg.det(a))
    if (np.linalg.det(a) != 0):
        return np.linalg.solve(a,b)[0][0]
    else: return None
 
def schnittPunkt(g1,g2):
    z = schnittTest(g1,g2)
    if (z != None):
        return g2.punktAn(z)
    else: return np.array([None,None,None])
 
def dreieckSchwerpunkt(pos,a,b):
    print("DreieckSchwerpunkt")
 
    g1 = Gerade(pos,a)
    g2 = Gerade(pos,b)
 
    c = kreuzProdukt(a,b)
 
    d = kreuzProdukt(a,c)
    e = kreuzProdukt(b,c)
 
    g3 = Gerade(g1.punktAn(.5), np.divide(d, 40))
    g4 = Gerade(g2.punktAn(.5), np.divide(e, 40))
 
    schnitt = schnittPunkt(g3,g4)
    #eichnePunkt(schnitt, "Dreieckschwerpunkt")
    return schnitt
 
def tetraSchwerpunkt(pos, v1, v2, v3):
    print("tetraSchwerpunkt")
 
    sp1 = dreieckSchwerpunkt(pos, v1, v2)
    sp2 = dreieckSchwerpunkt(pos, v1, v3)
 
    print(pos, v1, v2, v3, sp1, sp2)
 
    if (sp1[0] != None and sp2[0] != None):
        g1 = Gerade(sp1, kreuzProdukt(v1, v2))
        g2 = Gerade(sp2, kreuzProdukt(v1, v3))
 
        schnitt = schnittPunkt(g1, g2)
        print("Tetraschwerpunkt :",schnitt)
        return schnitt
    else: return np.array([None,None,None])
 
def abstandPunkte(p1, p2):
    a = sqrt(((p1[0]-p2[0])**2) + ((p1[1]-p2[1])**2) + ((p1[2]-p2[2])**2))
    return a
 
def zeichnePunkt(pos, name = "Punkt"):
    verts = [(0.1,0.1,0.1),(-0.1,0.1,0.1),(-0.1,-0.1,0.1),(0.1,-0.1,0.1)
            ,(0.1,0.1,-0.1),(-0.1,0.1,-0.1),(-0.1,-0.1,-0.1),(0.1,-0.1,-0.1)]
    faces = [(0,1,2,3),(4,5,6,7),(0,1,4,5),(1,2,4,5),(2,3,6,7),(3,0,7,4)]
    generateObj(name,verts,faces,pos)
 
def kreuzProdukt(a,b):
    c = (a[1]*b[2]-a[2]*b[1] , a[2]*b[0]-a[0]*b[2] , a[0]*b[1]-a[1]*b[0])
    return c
 
def genKerne(anzahl, x_max, y_max, z_max):
    ker = []
 
    for n in range(0, anzahl):
        x = randint(-x_max, x_max)*((random()/(1+random())))
        y = randint(-y_max, y_max)*((random()/(1+random())))
        z = randint(-z_max, z_max)*((random()/(1+random())))
        if (len(ker) != 0):
            neu = True
            for m in range(0, len(ker)):
                if (x == ker[m][0] and y == ker[m][1] and z == ker[m][2]):
                    neu = False
            if (neu == True):
                ker.append([x,y,z])
                zeichnePunkt(ker[n])
            else:
                n = n-1
        else:
            ker.append([x,y,z])
            zeichnePunkt(ker[n])
    return ker
 
def generateObj(name, verts, faces, loc):
    mymesh = bpy.data.meshes.new(name)
    myobject = bpy.data.objects.new(name,mymesh)
 
    myobject.location = loc #(0,0,0) #bpy.context.scene.cursor.location
    bpy.context.collection.objects.link(myobject)
 
    mymesh.from_pydata(verts,[],faces)
    mymesh.update(calc_edges=True)
 
 
 
 
 
#   CODE
 
x_max = 10
y_max = 10
z_max = 10
ker = genKerne(20, x_max, y_max, z_max)
 
for i in range(0, len(ker)):
    for j in range(i+1, len(ker)):
        for k in range(j+1, len(ker)):
            for l in range(k+1, len(ker)):
                print(str(i),str(j),str(k),str(l))
 
                t = Tetraeder([ker[i], ker[j], ker[k], ker[l]],"Tetraeder")
                t.selfRender(ker)