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core_grid.py
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core_grid.py
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#!/usr/bin/env python
# -*- coding: utf-8 -*-
__author__ = ['Benjamin Dillenburger','Demetris Shammas','Mathias Bernhard']
__copyright__ = 'Copyright 2019 / Digital Building Technologies DBT / ETH Zurich'
__license__ = 'MIT License'
__email__ = ['<[email protected]>']
import math
from mola.core_mesh import Mesh
from mola.core_vertex import Vertex
from mola.core_face import Face
class GridManager:
"""
A `GridManager` is taking care of getting and setting values and
retrieving neighbors in an orthogonal grid of either 2 or 3 dimension.
Attributes
----------
nx, ny, nz : int
The number of elements in x,y and z direction.
"""
def __init__(self, nx, ny, nz=1):
self.nx = nx
self.ny = ny
self.nz = nz
self.length = nx * ny * nz
self.nyz = ny * nz
def get_index(self, x, y, z=0):
"""
returns the value at position x,y,z
"""
return x * self.nyz + y * self.nz + z
def get_x(self,index):
"""
returns the X coordinate of a specific index
"""
return index // self.nyz
def get_y(self,index):
"""
returns the Y coordinate of a specific index
"""
return (index // self.nz) % self.ny
def get_z(self,index):
"""
returns the Z coordinate of a specific index
"""
return index % self.nz
def get_neighbors_hex_2d(self,index,continuous=False):
"""
returns the 6 neighbor indices of a cell in a hexagonal grid
set `continuous` to `True` to get torus topology (left edge stitched to right and top to bottom)
"""
nbs = []
x = self.get_x(index)
y = self.get_y(index)
if not continuous:
if x < self.nx - 1:
nbs.append(self.get_index(x + 1, y))
if x > 0:
nbs.append(self.get_index(x - 1, y))
if y > 0:
nbs.append(self.get_index(x, y - 1))
if y < self.ny - 1:
nbs.append(self.get_index(x, y + 1))
if y % 2 == 0:
if x < self.nx - 1 and y < self.ny - 1:
nbs.append(self.get_index(x + 1, y + 1))
if x < self.nx - 1 and y > 0:
nbs.append(self.get_index(x + 1, y - 1))
else:
if x > 0 and y < self.ny - 1:
nbs.append(self.get_index(x - 1, y + 1))
if x > 0 and y > 0:
nbs.append(self.get_index(x - 1, y - 1))
else:
xNext = x + 1 if x < self.nx - 1 else 0
xPrev = x - 1 if x > 0 else self.nx - 1
yNext = y + 1 if y < self.ny - 1 else 0
yPrev = y - 1 if y > 0 else self.ny - 1
nbs.append(self.get_index(xNext, y))
nbs.append(self.get_index(xPrev, y))
nbs.append(self.get_index(x, yPrev))
nbs.append(self.get_index(x, yNext))
if y % 2 == 0:
nbs.append(self.get_index(xNext, yNext))
nbs.append(self.get_index(xNext, yPrev))
else:
nbs.append(self.get_index(xPrev, yNext))
nbs.append(self.get_index(xPrev, yPrev))
return nbs
def get_neighbors_2d(self,index,nbs8=False,continuous=False):
"""
returns the neighbor indices of a cell in an orthogonal grid
set `nbs8` to `True` to get 8 neighbors, default is 4
set `continuous` to `True` to get torus topology (left edge stitched to right and top to bottom)
"""
nbs = []
x = self.get_x(index)
y = self.get_y(index)
if not continuous:
if x < self.nx - 1:
nbs.append(self.get_index(x + 1, y))
if nbs8:
if x < self.nx - 1 and y < self.ny - 1:
nbs.append(self.get_index(x + 1, y + 1))
if y < self.ny - 1:
nbs.append(self.get_index(x, y + 1))
if nbs8:
if x > 0 and y < self.ny - 1:
nbs.append(self.get_index(x - 1, y + 1))
if x > 0:
nbs.append(self.get_index(x - 1, y))
if nbs8:
if x > 0 and y > 0:
nbs.append(self.get_index(x - 1, y - 1))
if y > 0:
nbs.append(self.get_index(x, y - 1))
if nbs8:
if x < self.nx - 1 and y > 0:
nbs.append(self.get_index(x + 1, y - 1))
else:
xPrev = x - 1 if x > 0 else self.nx - 1
xNext = x + 1 if x < self.nx - 1 else 0
yPrev = y - 1 if y > 0 else self.ny - 1
yNext = y + 1 if y < self.ny - 1 else 0
nbs.append(self.get_index(xNext, y))
if nbs8:
nbs.append(self.get_index(xNext, yNext))
nbs.append(self.get_index(x, yNext))
if nbs8:
nbs.append(self.get_index(xPrev, yNext))
nbs.append(self.get_index(xPrev, y))
if nbs8:
nbs.append(self.get_index(xPrev, yPrev))
nbs.append(self.get_index(x, yPrev))
if nbs8:
nbs.append(self.get_index(xNext, yPrev))
return nbs
def get_neighbors_3d(self, index, mode=3, continuous=False):
nbs = []
x = self.get_x(index)
y = self.get_y(index)
z = self.get_z(index)
# mode: neighbourhood type
# 1 : 6 nbs, shared face
# 2 : 18 nbs, shared face or edge
# 3 : 26 nbs, shared face, edge or vertex
if not mode:
mode==3
if mode<1:
mode==1
if mode>3:
mode==3
# precalculate distances
# dists = [1, math.sqrt(2), math.sqrt(3)]
# create a list of directions with x,y and z offsets
directions = []
for i in range(-1,2):
for j in range(-1,2):
for k in range(-1,2):
l = [i,j,k]
s = sum([abs(v) for v in l])
# check for neighbourhood type
if s > 0 and s <= mode:
directions.append(l)
for d in directions:
ex = x + d[0]
ey = y + d[1]
ez = z + d[2]
if continuous:
ex = ex % self.nx
ey = ey % self.ny
ez = ez % self.nz
if 0 <= ex < self.nx and 0 <= ey < self.ny and 0 <= ez < self.nz:
nbs.append(self.get_index(ex,ey,ez))
return nbs
class Grid(GridManager):
def __init__(self, nx, ny, nz=1, values=None, scale_to_canvas=False):
super().__init__(nx, ny, nz)
# self.nx = nx
# self.ny = ny
# self.nz = nz
# self.nyz = ny * nz
self.scale_to_canvas = scale_to_canvas;
if values is None:
self.values = [0] * nx * ny * nz
else:
self.values = values
def set_value_at_xyz(self, value, x, y, z=0):
self.values[self.get_index(x, y, z)] = value
def get_value_at_xyz(self, x, y, z=0):
return self.values[self.get_index(x, y, z)]
def set_value_at_index(self, value, index):
self.values[index] = value
def get_value_at_index(self, index):
return self.values[index]
def shortest_path(self, startindex, endindex, obstaclevalue):
# TODO
return []
def quad_mesh(self, functionIn, functionOut):
faces = []
for x in range(self.nx):
for y in range(self.ny):
for z in range(self.nz):
index=self.get_index(x,y,z)
if functionIn(self.values[index]):
# (x,y) (x1,y) (x1,y1) (x,y1)
if x == self.nx - 1 or functionOut(self.get_value_at_xyz(x + 1, y, z)):
v1 = Vertex(x + 1, y, z)
v2 = Vertex(x + 1, y + 1, z)
v3 = Vertex(x + 1, y + 1, z + 1)
v4 = Vertex(x + 1, y, z + 1)
faces.append(Face([v1, v2, v3, v4]))
if x == 0 or functionOut(self.get_value_at_xyz(x-1,y,z)):
v1 = Vertex(x, y + 1, z)
v2 = Vertex(x, y, z)
v3 = Vertex(x, y, z + 1)
v4 = Vertex(x, y + 1, z + 1)
faces.append(Face([v1, v2, v3, v4]))
if y == self.ny - 1 or functionOut(self.get_value_at_xyz(x, y + 1, z)):
v1 = Vertex(x + 1, y + 1, z)
v2 = Vertex(x, y + 1, z)
v3 = Vertex(x, y + 1, z + 1)
v4 = Vertex(x + 1, y + 1, z + 1)
faces.append(Face([v1, v2, v3, v4]))
if y == 0 or functionOut(self.get_value_at_xyz(x, y - 1, z)):
v1 = Vertex(x, y, z)
v2 = Vertex(x + 1, y, z)
v3 = Vertex(x + 1, y, z + 1)
v4 = Vertex(x, y, z + 1)
faces.append(Face([v1, v2, v3, v4]))
if z==self.nz-1 or functionOut(self.get_value_at_xyz(x, y, z + 1)):
v1 = Vertex(x, y, z + 1)
v2 = Vertex(x + 1, y, z + 1)
v3 = Vertex(x + 1, y + 1, z + 1)
v4 = Vertex(x, y + 1, z + 1)
faces.append(Face([v1, v2, v3, v4]))
if z == 0 or functionOut(self.get_value_at_xyz(x, y, z - 1)):
v1 = Vertex(x, y + 1, z)
v2 = Vertex(x + 1, y + 1, z)
v3 = Vertex(x + 1, y, z)
v4 = Vertex(x, y, z)
faces.append(Face([v1, v2, v3, v4]))
mesh = Mesh()
mesh.faces = faces
mesh.update_topology()
if (self.scale_to_canvas):
mesh.translate(-self.nx/2.0,-self.ny/2.0,-self.nz/2.0)
sc = 20.0/max(self.nx,self.ny)
mesh.scale(sc,sc,sc)
return mesh
class HexGrid(Grid):
def __init__(self, nx, ny, nz=1, values=None):
super().__init__(nx, ny, nz, values)
# self.ny = nx
# self.ny = ny
# self.nz = nz
# self.nyz = ny * nz
# if values == None:
# self.values = [0] * nx * ny * nz
self.dimy = math.sqrt(3) * 0.5
def get_position(self, x, y, z=0):
return [x + (y % 2) * 0.5, y * self.dimy, z]