mirror of
https://github.com/zhm-real/PathPlanning.git
synced 2026-08-30 00:50:46 +08:00
yue qi
147 lines
6.0 KiB
Python
147 lines
6.0 KiB
Python
# this is the three dimensional space
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# !/usr/bin/env python3
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# -*- coding: utf-8 -*-
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"""
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@author: yue qi
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"""
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import numpy as np
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# from utils3D import OBB2AABB
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def R_matrix(z_angle,y_angle,x_angle):
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# s angle: row; y angle: pitch; z angle: yaw
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# generate rotation matrix in SO3
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# RzRyRx = R, ZYX intrinsic rotation
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# also (r1,r2,r3) in R3*3 in {W} frame
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# used in obb.O
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# [[R p]
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# [0T 1]] gives transformation from body to world
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return np.array([[np.cos(z_angle), -np.sin(z_angle), 0.0], [np.sin(z_angle), np.cos(z_angle), 0.0], [0.0, 0.0, 1.0]])@ \
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np.array([[np.cos(y_angle), 0.0, np.sin(y_angle)], [0.0, 1.0, 0.0], [-np.sin(y_angle), 0.0, np.cos(y_angle)]])@ \
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np.array([[1.0, 0.0, 0.0], [0.0, np.cos(x_angle), -np.sin(x_angle)], [0.0, np.sin(x_angle), np.cos(x_angle)]])
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def getblocks():
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# AABBs
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block = [[4.00e+00, 1.20e+01, 0.00e+00, 5.00e+00, 2.00e+01, 5.00e+00],
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[5.5e+00, 1.20e+01, 0.00e+00, 1.00e+01, 1.30e+01, 5.00e+00],
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[1.00e+01, 1.20e+01, 0.00e+00, 1.40e+01, 1.30e+01, 5.00e+00],
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[1.00e+01, 9.00e+00, 0.00e+00, 2.00e+01, 1.00e+01, 5.00e+00],
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[9.00e+00, 6.00e+00, 0.00e+00, 1.00e+01, 1.00e+01, 5.00e+00]]
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Obstacles = []
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for i in block:
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i = np.array(i)
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Obstacles.append([j for j in i])
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return np.array(Obstacles)
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def getballs():
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spheres = [[2.0,6.0,2.5,1.0],[14.0,14.0,2.5,2]]
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Obstacles = []
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for i in spheres:
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Obstacles.append([j for j in i])
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return np.array(Obstacles)
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def getAABB(blocks):
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# used for Pyrr package for detecting collision
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AABB = []
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for i in blocks:
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AABB.append(np.array([np.add(i[0:3], -0), np.add(i[3:6], 0)])) # make AABBs alittle bit of larger
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return AABB
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def getAABB2(blocks):
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# used in lineAABB
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AABB = []
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for i in blocks:
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AABB.append(aabb(i))
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return AABB
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def add_block(block = [1.51e+01, 0.00e+00, 2.10e+00, 1.59e+01, 5.00e+00, 6.00e+00]):
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return block
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class aabb(object):
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# make AABB out of blocks,
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# P: center point
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# E: extents
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# O: Rotation matrix in SO(3), in {w}
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def __init__(self,AABB):
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self.P = [(AABB[3] + AABB[0])/2, (AABB[4] + AABB[1])/2, (AABB[5] + AABB[2])/2]# center point
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self.E = [(AABB[3] - AABB[0])/2, (AABB[4] - AABB[1])/2, (AABB[5] - AABB[2])/2]# extents
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self.O = [[1,0,0],[0,1,0],[0,0,1]]
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class obb(object):
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# P: center point
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# E: extents
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# O: Rotation matrix in SO(3), in {w}
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def __init__(self, P, E, O):
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self.P = P
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self.E = E
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self.O = O
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self.T = np.vstack([np.column_stack([self.O.T,-self.O.T@self.P]),[0,0,0,1]])
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class env():
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def __init__(self, xmin=0, ymin=0, zmin=0, xmax=20, ymax=20, zmax=5, resolution=1):
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# def __init__(self, xmin=-5, ymin=0, zmin=-5, xmax=10, ymax=5, zmax=10, resolution=1):
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self.resolution = resolution
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self.boundary = np.array([xmin, ymin, zmin, xmax, ymax, zmax])
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self.blocks = getblocks()
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self.AABB = getAABB2(self.blocks)
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self.AABB_pyrr = getAABB(self.blocks)
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self.balls = getballs()
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self.OBB = np.array([obb([5.0,7.0,2.5],[0.5,2.0,2.5],R_matrix(135,0,0)),
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obb([12.0,4.0,2.5],[0.5,2.0,2.5],R_matrix(45,0,0))])
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self.start = np.array([2.0, 2.0, 2.0])
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self.goal = np.array([6.0, 16.0, 0.0])
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self.t = 0 # time
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def New_block(self):
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newblock = add_block()
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self.blocks = np.vstack([self.blocks,newblock])
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self.AABB = getAABB2(self.blocks)
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self.AABB_pyrr = getAABB(self.blocks)
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def move_start(self, x):
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self.start = x
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def move_block(self, a = [0,0,0], s = 0, v = [0.1,0,0], block_to_move = 0, mode = 'translation'):
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# t is time , v is velocity in R3, a is acceleration in R3, s is increment ini time,
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# R is an orthorgonal transform in R3*3, is the rotation matrix
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# (s',t') = (s + tv, t) is uniform transformation
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# (s',t') = (s + a, t + s) is a translation
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if mode == 'translation':
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ori = np.array(self.blocks[block_to_move])
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self.blocks[block_to_move] = \
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np.array([ori[0] + a[0],\
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ori[1] + a[1],\
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ori[2] + a[2],\
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ori[3] + a[0],\
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ori[4] + a[1],\
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ori[5] + a[2]])
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self.AABB[block_to_move].P = \
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[self.AABB[block_to_move].P[0] + a[0], \
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self.AABB[block_to_move].P[1] + a[1], \
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self.AABB[block_to_move].P[2] + a[2]]
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self.t += s
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# return a range of block that the block might moved
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a = self.blocks[block_to_move]
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return np.array([a[0] - self.resolution, a[1] - self.resolution, a[2] - self.resolution, \
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a[3] + self.resolution, a[4] + self.resolution, a[5] + self.resolution]), \
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np.array([ori[0] - self.resolution, ori[1] - self.resolution, ori[2] - self.resolution, \
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ori[3] + self.resolution, ori[4] + self.resolution, ori[5] + self.resolution])
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# return a,ori
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# (s',t') = (Rx, t)
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def move_OBB(self, obb_to_move = 0, theta=[0,0,0], translation=[0,0,0]):
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# theta stands for rotational angles around three principle axis in world frame
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# translation stands for translation in the world frame
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ori = [self.OBB[obb_to_move]]
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self.OBB[obb_to_move].P = \
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[self.OBB[obb_to_move].P[0] + translation[0],
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self.OBB[obb_to_move].P[1] + translation[1],
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self.OBB[obb_to_move].P[2] + translation[2]]
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# Calculate orientation
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self.OBB[obb_to_move].O = R_matrix(z_angle=theta[0],y_angle=theta[1],x_angle=theta[2])
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# generating transformation matrix
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self.OBB[obb_to_move].T = np.vstack([np.column_stack([self.OBB[obb_to_move].O.T,\
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-self.OBB[obb_to_move].O.T@self.OBB[obb_to_move].P]),[translation[0],translation[1],translation[2],1]])
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return self.OBB[obb_to_move], ori[0]
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if __name__ == '__main__':
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newenv = env() |