Source code for yade.polyhedra_utils

# 2013 Jan Elias, http://www.fce.vutbr.cz/STM/elias.j/, elias.j@fce.vutbr.cz
# https://www.vutbr.cz/www_base/gigadisk.php?i=95194aa9a

"""
Auxiliary functions for polyhedra
"""


from builtins import range
import math,random,doctest,geom,numpy
from yade import Vector3
from yade.wrapper import *
try: # use psyco if available
	import psyco
	psyco.full()
except ImportError: pass


# c++ implementations for performance reasons
from yade._polyhedra_utils import *

#**********************************************************************************
[docs]def randomColor(seed=None): random.seed(seed); #Return random Vector3 with each component in interval 0...1 (uniform distribution) return Vector3(random.random(),random.random(),random.random())
#********************************************************************************** #create polyhedra, one can specify vertices directly, or leave it empty for random shape
[docs]def polyhedra(material,size=Vector3(1,1,1),seed=None,v=[],mask=1,fixed=False, color=[-1,-1,-1]): """create polyhedra, one can specify vertices directly, or leave it empty for random shape. :param Material material: material of new body :param Vector3 size: size of new body (see Polyhedra docs) :param float seed: seed for random operations :param [Vector3] v: list of body vertices (see Polyhedra docs) """ b=Body() random.seed(seed); b.aspherical = True if len(v)>0: b.shape = Polyhedra(v=v) else: b.shape = Polyhedra(size = size, seed=random.randint(0,1E6)) if color[0] == -1: b.shape.color = randomColor(seed=random.randint(0,1E6)) else: b.shape.color = color b.mat = material b.state.mass = b.mat.density*b.shape.GetVolume() b.state.inertia = b.shape.GetInertia()*b.mat.density b.state.ori = b.shape.GetOri() b.state.pos = b.shape.GetCentroid() b.mask=mask if fixed: b.state.blockedDOFs = 'xyzXYZ' return b
#********************************************************************************** #creates polyhedra having N vertices and resembling sphere
[docs]def polyhedralBall(radius, N, material, center,mask=1): """creates polyhedra having N vertices and resembling sphere :param float radius: ball radius :param int N: number of vertices :param Material material: material of new body :param Vector3 center: center of the new body """ pts = [] inc = math.pi * (3. - math.sqrt(5.)) off = 2. / float(N) for k in range(0, N): y = k * off - 1. + (off / 2.) r = math.sqrt(1. - y*y) phi = k * inc pts.append([math.cos(phi)*r*radius, y*radius, math.sin(phi)*r*radius]) ball = polyhedra(material,v=pts) ball.state.pos = center return ball
#**********************************************************************************
[docs]def polyhedraTruncIcosaHed(radius, material, centre,mask=1): pts = [] p = (1.+math.sqrt(5.))/2. f = radius/math.sqrt(9.*p + 1.) A = [[0.,1.,3.*p],[2.,1.+2.*p,p],[1.,2.+p,2.*p]] for a in A: a = [a[0]*f,a[1]*f,a[2]*f] B = [a,[a[1],a[2],a[0]],[a[2],a[0],a[1]]] for b in B: pts.append(b) if not b[0] == 0: pts.append([-b[0], b[1], b[2]]) if not b[1] == 0: pts.append([-b[0],-b[1], b[2]]) if not b[2] == 0: pts.append([-b[0],-b[1],-b[2]]) if not b[2] == 0: pts.append([-b[0], b[1],-b[2]]) if not b[1] == 0: pts.append([ b[0],-b[1], b[2]]) if not b[2] == 0: pts.append([ b[0],-b[1],-b[2]]) if not b[2] == 0: pts.append([ b[0], b[1],-b[2]]) ball = polyhedra(material,v=pts) ball.state.pos = centre return ball
#**********************************************************************************
[docs]def polyhedraSnubCube(radius, material, centre, mask=1): pts = [] f = radius/1.3437133737446 c1 = 0.337754 c2 = 1.14261 c3 = 0.621226 A = [[c2,c1,c3],[c1,c3,c2],[c3,c2,c1],[-c1,-c2,-c3],[-c2,-c3,-c1],[-c3,-c1,-c2]] for a in A: a = [a[0]*f,a[1]*f,a[2]*f] pts.append([-a[0],-a[1], a[2]]) pts.append([ a[0],-a[1],-a[2]]) pts.append([-a[0], a[1],-a[2]]) pts.append([ a[0], a[1], a[2]]) ball = polyhedra(material,v=pts) ball.state.pos = centre return ball
#********************************************************************************** #fill box [mincoord, maxcoord] by non-overlaping polyhedrons with random geometry and sizes within the range (uniformly distributed)
[docs]def fillBox(mincoord, maxcoord,material,sizemin=[1,1,1],sizemax=[1,1,1],ratio=[0,0,0],seed=None,mask=1): """fill box [mincoord, maxcoord] by non-overlaping polyhedrons with random geometry and sizes within the range (uniformly distributed) :param Vector3 mincoord: first corner :param Vector3 maxcoord: second corner :param Vector3 sizemin: minimal size of bodies :param Vector3 sizemax: maximal size of bodies :param Vector3 ratio: scaling ratio :param float seed: random seed """ random.seed(seed); v = fillBox_cpp(mincoord, maxcoord, sizemin,sizemax, ratio, random.randint(0,1E6), material)
#lastnan = -1 #for i in range(0,len(v)): # if(math.isnan(v[i][0])): # O.bodies.append(polyhedra(material,seed=random.randint(0,1E6),v=v[lastnan+1:i],mask=1,fixed=False)) # lastnan = i #********************************************************************************** #fill box [mincoord, maxcoord] by non-overlaping polyhedrons with random geometry and sizes within the range (uniformly distributed)
[docs]def fillBoxByBalls(mincoord, maxcoord,material,sizemin=[1,1,1],sizemax=[1,1,1],ratio=[0,0,0],seed=None,mask=1,numpoints=60): random.seed(seed); v = fillBoxByBalls_cpp(mincoord, maxcoord, sizemin,sizemax, ratio, random.randint(0,1E6), material,numpoints)
#lastnan = -1 #for i in range(0,len(v)): # if(math.isnan(v[i][0])): # O.bodies.append(polyhedra(material,seed=random.randint(0,1E6),v=v[lastnan+1:i],mask=1,fixed=False)) # lastnan = i