Inverse kinematics complete

requirements.txt

@@ -11,6 +11,8 @@ selenium
 sacn
 uptime
 websockets
+numpy
+scipy
 
 # Development
 matplotlib

tempCodeRunnerFile.py

@@ -0,0 +1,5 @@
+)
+    # rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
+    
+    # angles = get_joints_from_xyz_abs(-0.3, -0.3, 0.5)
+    # rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)

ur5_control.py

@@ -1,6 +1,8 @@
 import urx
 import math3d as m3d
+from scipy.optimize import fsolve
 import math
+import numpy as np
 import time
 import os
 import logging
@@ -8,6 +10,9 @@ from urx.robotiq_two_finger_gripper import Robotiq_Two_Finger_Gripper
 import sys
 from util import fprint
 
+
+
+
 rob = None
 
 
@@ -45,7 +50,7 @@ def init(ip):
     time.sleep(0.2)
     fprint("UR5 ready.")
 
-def set_pos_abs(x, y, z, xb, yb, zb):
+def set_pos_abs(x, y, z, xb, yb, zb, threshold=None):
     global rob
     new_orientation = m3d.Transform()
     new_orientation.orient.rotate_xb(xb)  # Replace rx with the desired rotation around X-axis
@@ -60,7 +65,7 @@ def set_pos_abs(x, y, z, xb, yb, zb):
     new_trans.pos.y = y
     new_trans.pos.z = z
     #rob.speedj(0.2, 0.5, 99999)
-    rob.set_pose(new_trans, acc=2, vel=2, command="movej")  # apply the new pose
+    rob.set_pose(new_trans, acc=2, vel=2, command="movej", threshold=threshold)  # apply the new pose
 
 def set_pos_rel_rot_abs(x, y, z, xb, yb, zb):
     global rob
@@ -80,21 +85,241 @@ def set_pos_rel_rot_abs(x, y, z, xb, yb, zb):
     #rob.speedj(0.2, 0.5, 99999)
     rob.set_pose(new_trans, acc=0.1, vel=0.4, command="movej")  # apply the new pose
 
+def set_pos_abs_rot_rel(x, y, z, xb, yb, zb):
+    global rob
+    new_orientation = m3d.Transform()
+    new_orientation.orient.rotate_xb(xb)  # Replace rx with the desired rotation around X-axis
+    new_orientation.orient.rotate_yb(yb)  # Replace ry with the desired rotation around Y-axis
+    new_orientation.orient.rotate_zb(zb)  # Replace rz with the desired rotation around Z-axis
+
+    # Get the current pose
+    trans = rob.getl()
+    
+    # Apply the new orientation while keeping the current position
+    new_trans = m3d.Transform(new_orientation.orient, m3d.Vector(trans[0:3]))
+    new_trans.pos.x = x
+    new_trans.pos.y = y
+    new_trans.pos.z = z
+    #rob.speedj(0.2, 0.5, 99999)
+    rob.set_pose(new_trans, acc=0.1, vel=0.4, command="movej")  # apply the new pose
 
 
+def is_safe_move(start_pose, end_pose, r=0.25):
+    start_x, start_y = (start_pose[0], start_pose[1])
+    end_x, end_y = (end_pose[0], end_pose[1])
+
+    try:
+        m = (end_y-start_y)/(end_x-start_x)
+        b = start_y - m*start_x
+        # print('m = y/x =', m)
+        # print('b =', b)
+    except:
+        m = (end_x-start_x)/(end_y-start_y)
+        b = start_x - m*start_y
+        # print('m = x/y =', m)
+        # print('b =', b)
+    
+    return r**2 - b**2 + m**2 * r**2 < 0
+
+def cartesian_to_polar(x, y):
+    r = np.sqrt(x**2 + y**2)
+    theta = np.arctan2(y, x)
+    return r, theta
+
+def polar_to_cartesian(r, theta):
+    x = r * np.cos(theta)
+    y = r * np.sin(theta)
+    return x, y
+
+
+def move_to_polar(start_pos, end_pos):
+    global rob
+
+    # Convert to polar coordinates
+    start_r, start_theta = cartesian_to_polar(start_pos[0], start_pos[1])
+    end_r, end_theta = cartesian_to_polar(end_pos[0], end_pos[1])
+
+    # Interpolate for xy (spiral arc)
+    n_points = 30
+    r_intermediate = np.linspace(start_r, end_r, n_points)
+    theta_intermediate = np.linspace(start_theta, end_theta, n_points)
+
+    # Interpolate for z (height)
+    start_z = start_pos[2]
+    end_z = end_pos[2]
+
+    z_intermediate = np.linspace(start_z, end_z, n_points)
+
+    # Interpolate for rz (keep tool rotation fixed relative to robot)
+
+
+    curr_rot = rob.getl()
+
+    theta_delta = theta_intermediate[1]-theta_intermediate[0]
+    
+    rx_intermediate = [curr_rot[5] + theta_delta*i for i in range(n_points)]
+
+    # curr_rot = rob.getj()
+    # start_rz = curr_rot[5]
+    # rot = end_theta - start_theta
+    # end_base_joint = curr_rot[0]-start_theta + rot
+
+    # end_rz = curr_rot[0] + rot
+    # # rob.movel([*polar_to_cartesian(end_r, end_theta), *rob.getl()[2:]], acc=2, vel=2)
+
+    # print('start_theta = ', math.degrees(start_theta))
+    # print('end_theta = ', math.degrees(curr_rot[0]-start_theta+rot))
+    # print('start_rz =', math.degrees(start_rz))
+    # print('rot =', math.degrees(rot))
+    # print('end_rz =', math.degrees(end_rz))
+
+    # rz_intermediate = np.linspace(start_rz, end_rz, n_points)
+
+    # Convert back to cartesian coordinates
+    curr_pos = rob.getl()
+
+    intermediate_points = [[*polar_to_cartesian(r, theta), z, *curr_pos[3:]]
+                            for r, theta, z, rx in zip(r_intermediate, 
+                                                       theta_intermediate, 
+                                                       z_intermediate, 
+                                                       rx_intermediate)]
+
+    # Move robot
+    rob.movels(intermediate_points, acc=2, vel=2, radius=0.1)
+    
+
+    return rx_intermediate
+
+def move_to_home():
+    global rob
+
+    # Home position in degrees
+    home_pos = [0.10421807948612624, 
+                -2.206111555015423, 
+                1.710679229503537, 
+                -1.075834511928354, 
+                -1.569301366430687, 
+                1.675098295930943]
+
+    # Move robot
+    rob.movej(home_pos, acc=2, vel=2)
+
+def normalize_degree(theta):
+    # Normalizes degree theta from -1.5pi to 1.5pi
+    multiplier = 1
+    normalized_theta = theta % (math.pi * multiplier)
+    
+    # Maintain the negative sign if the original angle is negative
+    if theta < 0:
+        normalized_theta -= math.pi * multiplier
+
+    # Return angle
+    return normalized_theta
+
+def get_joints_from_xyz_rel(x, y, z, initial_guess = (math.pi/2, math.pi/2, 0), limbs=(.422864, .359041, .092124)):
+    # Get polar coordinates of x,y pair
+    r, theta = cartesian_to_polar(x, y)
+    
+    # Get length of each limb
+    l1, l2, l3 = limbs
+    
+    # Formulas to find out joint positions for (r, z)
+    def inv_kin_r_z(p):
+        a, b, c = p
+
+        return (l1*math.cos(a) + l2*math.cos(a-b) + l3*math.cos(a-b-c) - r, # r
+                l1*math.sin(a) + l2*math.sin(a-b) - l3*math.sin(a-b-c) - z,  # z
+                a-b-c) # wrist angle
+
+
+    # Normalize angles
+    base, shoulder, elbow, wrist = [normalize_degree(deg) for deg in [theta, *fsolve(inv_kin_r_z, initial_guess)]]
+
+    # Return result
+    return base, shoulder, elbow, wrist
+
+def get_joints_from_xyz_abs(x, y, z):
+    joints = get_joints_from_xyz_rel(x, y, z)
+
+    # Joint offsets
+    # Base, Shoulder, Elbow, Wrist
+    inverse = [1, -1, 1, 1]
+    offsets = [0, 0, 0, -math.pi/2]
+
+    # Return adjusted joint positions
+    return [o+j*i for j, o, i in zip(joints, offsets, inverse)]
 
 if __name__ == "__main__":
     
     #rob.movej((0, 0, 0, 0, 0, 0), 0.1, 0.2)
     #rob.movel((x, y, z, rx, ry, rz), a, v)
     init("192.168.1.145")
-    fprint("Current tool pose is: ",  rob.getl())
+    print("Current tool pose is: ",  rob.getl())
-    #set_pos_rel_rot_abs(0, 0, -0.2, math.pi, 0, -math.pi)
+    move_to_home()
-    set_pos_abs(0.3, -0.2, 0.5, math.pi, 0, -math.pi)
+
-    set_pos_abs(0, 0.2, 0.6, math.pi, 0, -math.pi)
+    home_pose = [-0.4999999077032916, 
-    set_pos_abs(-0.5, -0.2, 0.4, math.pi, 0, -math.pi)
+               -0.2000072960336574, 
-    #set_pos_rel_rot_abs(0, 0, 0, math.pi, 0, -math.pi)
+               0.40002172976662786, 
-    fprint("Current tool pose is: ",  rob.getl())
+               0, 
+               -3.14152741295329, 
+               0]
+
+    # time.sleep(.5)
+
+    p1 = [0,
+
+        0.6,
+        .4,
+        0.2226,
+        3.1126,
+        0.0510]
+    
+    p2 = [0.171,
+        -0.115,
+        0.2,
+        0.2226,
+        3.1126,
+        0.0510]
+
+    curr_pos = rob.getl()
+    # up/down, 
+    # tool rotation
+    # tool angle (shouldn't need)
+    # rob.set_pos(p1[0:3], acc=0.5, vel=0.5)
+
+    # set_pos_abs(*home_pose)
+
+
+    angles = get_joints_from_xyz_abs(0.3, 0.3, 0.3)
+    rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
+    
+    angles = get_joints_from_xyz_abs(-0.3, -0.3, 0.7)
+    rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
+    
+    angles = get_joints_from_xyz_abs(-0.3, 0.4, 0.2)
+    rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
+
+
+    # set_pos_abs(*p1)
+    # move = move_to_polar(p1, p2)
+
+
+    # for p in move:
+    #     print(math.degrees(p))
+    # print("Safe? :", is_safe_move(p1, p2))
+
+
+    # #set_pos_rel_rot_abs(0, 0, -0.2, math.pi, 0, -math.pi)
+    # set_pos_abs(0.3, -0.2, 0.5, math.pi, 0, -math.pi)
+    # set_pos_abs(0, 0.2, 0.6, math.pi, 0, -math.pi)
+    # set_pos_abs(-0.5, -0.2, 0.4, math.pi, 0, -math.pi)
+    # #set_pos_rel_rot_abs(0, 0, 0, math.pi, 0, -math.pi)
+
+    # print("Current tool pose is: ",  rob.getl())
+    # print("getj(): ",  rob.getj())
+
+    # move_to_home()
+
     rob.stop()
     os.kill(os.getpid(), 9) # dirty kill of self
     sys.exit(0)