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25ceb6c133
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File diff suppressed because one or more lines are too long
@ -216,35 +216,65 @@ def normalize_degree(theta):
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# Return angle
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return normalized_theta
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def get_joints_from_xyz_rel(x, y, z, initial_guess = (math.pi/2, math.pi/2, 0), limbs=(.422864, .359041, .092124)):
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# Get polar coordinates of x,y pair
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r, theta = cartesian_to_polar(x, y)
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def get_joints_from_xyz_rel(x, y, z, rx=0, ry=-math.pi/2, rz=0, initial_guess = (math.pi/2, math.pi/2, 0)):
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# Get limbs and offsets
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offset_x, offset_y, offset_z = (0, 0, 0.14) # Tool offset
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l_bs, l1, l2, l3, l_wt = (0.1333, .425, .39225, .1267, .0997) # Limb lengths
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#l3=0.15
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# Get length of each limb
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l1, l2, l3 = limbs
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# Calculate base angle and r relative to shoulder joint
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def calculate_theta(x, y, a):
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# Calculate if we need the + or - in our equations
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if (x>-a and y>=0) or (x>a and y<0):
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flip = 1
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elif (x<-a and y>=0) or (x<a and y<0):
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flip = -1
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else:
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# Critical section (x=a, or x=-a). Infinite slope
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# Return 0 or 180 depending on sign
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return math.atan2(y, 0)
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# Calculate tangent line y = mx + b
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m = (x*y - math.sqrt(x*x*y*y-(x*x-a*a)*(y*y-a*a)))/(x*x-a*a)
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b = flip * a * math.sqrt(1+m*m)
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# Calculate equivalent tangent point on circle
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cx = (-flip*m*b)/(1+m*m)
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cy = m*cx + flip*b
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# Calculate base angle, make angle negative if flip=1
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theta = math.atan2(cy, cx) + (-math.pi if flip==1 else 0)
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return theta
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base_theta = calculate_theta(x, y, l_bs)
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cx, cy = l_bs*math.cos(base_theta), l_bs*math.sin(l_bs)
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r = math.sqrt((x-cx)**2 + (y-cy)**2)
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# Formulas to find out joint positions for (r, z)
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def inv_kin_r_z(p):
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a, b, c = p
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a, b, c = p
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return (l1*math.cos(a) + l2*math.cos(a-b) + l3*math.cos(a-b-c) - r, # r
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l1*math.sin(a) + l2*math.sin(a-b) - l3*math.sin(a-b-c) - z, # z
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l1*math.sin(a) + l2*math.sin(a-b) - l3*math.sin(a-b-c) - (l3*math.sin(a-b-c)) - (z + offset_z), # z
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a-b-c) # wrist angle
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# Normalize angles
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base, shoulder, elbow, wrist = [normalize_degree(deg) for deg in [theta, *fsolve(inv_kin_r_z, initial_guess)]]
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base, shoulder, elbow, wrist1 = [normalize_degree(deg) for deg in [base_theta, *fsolve(inv_kin_r_z, initial_guess)]]
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# Return result
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return base, shoulder, elbow, wrist
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return base, shoulder, elbow, wrist1, ry, rz
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def get_joints_from_xyz_abs(x, y, z):
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joints = get_joints_from_xyz_rel(x, y, z)
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def get_joints_from_xyz_abs(x, y, z, rx=0, ry=-math.pi/2, rz=math.pi/2):
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joints = get_joints_from_xyz_rel(x, y, z, rx, ry, rz)
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# Joint offsets
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# Base, Shoulder, Elbow, Wrist
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inverse = [1, -1, 1, 1]
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offsets = [0, 0, 0, -math.pi/2]
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inverse = [1, -1, 1, 1, 1, 1]
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offsets = [-math.pi/2, 0, 0, -math.pi/2, 0, 0]
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# Return adjusted joint positions
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return [o+j*i for j, o, i in zip(joints, offsets, inverse)]
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@ -262,7 +292,7 @@ if __name__ == "__main__":
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0.40002172976662786,
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0,
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-3.14152741295329,
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0]
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math.radians(62)]
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# time.sleep(.5)
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@ -290,14 +320,21 @@ if __name__ == "__main__":
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# set_pos_abs(*home_pose)
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angles = get_joints_from_xyz_abs(0.3, 0.3, 0.3)
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rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
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angles = get_joints_from_xyz_abs(-0.3, -0.3, 0.7)
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rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
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angles = get_joints_from_xyz_abs(-0.7, 0, 0)
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rob.movej(angles, acc=2, vel=2)
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# joints = []
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# for i in np.linspace(-0.3, -0.7, 50):
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# joints.append(get_joints_from_xyz_abs(i, 0, 0))
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# rob.movejs(joints, acc=2, vel=2)
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# time.sleep(5)
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# angles = get_joints_from_xyz_abs(0, -0.6, 0)
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# rob.movej(angles, acc=2, vel=2)
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angles = get_joints_from_xyz_abs(-0.3, 0.4, 0.2)
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rob.movej([*angles, *rob.getj()[4:]], acc=1, vel=1)
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# set_pos_abs(*p1)
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