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@ -23,10 +23,28 @@ COS15 = 0.9659
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class Hexapod:
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def __init__(self):
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# x -> right
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# y -> front
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# z -> up
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# origin is the center of the body
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# roots are the positions of the bottom screws
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# length units are in mm
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# time units are in ms
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with open('./config.json', 'r') as read_file:
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self.config = json.load(read_file)
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self.mount_x = np.array(self.config['legMountX'])
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self.mount_y = np.array(self.config['legMountY'])
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self.root_j1 = self.config['legRootToJoint1']
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self.j1_j2 = self.config['legJoint1ToJoint2']
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self.j2_j3 = self.config['legJoint2ToJoint3']
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self.j3_tip = self.config['legJoint3ToTip']
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self.mount_position = np.zeros((6, 3))
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self.mount_position[:, 0] = self.mount_x
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self.mount_position[:, 1] = self.mount_y
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# Objects
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self.pca_right = ServoKit(channels=16, address=0x40, frequency=120)
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self.pca_left = ServoKit(channels=16, address=0x41, frequency=120)
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@ -69,13 +87,17 @@ class Hexapod:
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# self.leg_4.reset()
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# self.leg_5.reset()
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self.mount_position = np.zeros((6, 3))
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self.mount_position[:, 0] = np.array(self.config['legMountX'])
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self.mount_position[:, 1] = np.array(self.config['legMountY'])
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self.standby()
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def standby(self):
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self.standby_coordinate = np.zeros((6, 3))
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self.standby_coordinate[:, 2] = self.j2_j3 * \
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SIN30 - self.j3_tip * COS15
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self.standby_coordinate[:, 0] = np.array(self.mount_x)+(self.root_j1+self.j1_j2+(
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self.j2_j3*COS30)+self.j3_tip*SIN15)*1
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self.standby_coordinate[:, 1] = self.mount_y + (self.root_j1+self.j1_j2+(
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self.j2_j3*COS30)+self.j3_tip*SIN15)*0
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self.leg_0.set_angle(0, 90)
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self.leg_0.set_angle(1, 60)
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self.leg_0.set_angle(2, 75)
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@ -99,33 +121,26 @@ class Hexapod:
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self.leg_5.set_angle(0, 90)
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self.leg_5.set_angle(1, 60)
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self.leg_5.set_angle(2, 75)
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# self.standby_coordinate = np.zeros((6, 3))
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# self.standby_coordinate[:, 2] = self.config['legJoint2ToJoint3'] * \
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# SIN30 - self.config['legJoint3ToTip'] * COS15
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# self.standby_coordinate[:, 0] = np.array(self.config['legMountX'])+(self.config['legRootToJoint1']+self.config['legJoint1ToJoint2']+(
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# self.config['legJoint2ToJoint3']*COS30)+self.config['legJoint3ToTip']*SIN15)*1
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# self.standby_coordinate[:, 1] = np.array(self.config['legMountY']) + (self.config['legRootToJoint1']+self.config['legJoint1ToJoint2']+(
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# self.config['legJoint2ToJoint3']*COS30)+self.config['legJoint3ToTip']*SIN15)*0
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# self.ik(self.standby_coordinate)
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def ik(self, to):
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to = to-self.mount_position
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self.angles = np.zeros((6, 3))
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x = to[:, 0] - self.config['legRootToJoint1']
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x = to[:, 0] - self.root_j1
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y = to[:, 1]
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self.angles[:, 0] = (np.arctan2(y, x) * 180 / np.pi)
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x = np.sqrt(x*x + y*y) - self.config['legJoint1ToJoint2']
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x = np.sqrt(x*x + y*y) - self.j1_j2
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y = to[:, 2]
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ar = np.arctan2(y, x)
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lr2 = x*x + y*y
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lr = np.sqrt(lr2)
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a1 = np.arccos((lr2 + self.config['legJoint2ToJoint3']*self.config['legJoint2ToJoint3'] -
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self.config['legJoint3ToTip']*self.config['legJoint3ToTip'])/(2*self.config['legJoint2ToJoint3']*lr))
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a2 = np.arccos((lr2 - self.config['legJoint2ToJoint3']*self.config['legJoint2ToJoint3'] +
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self.config['legJoint3ToTip']*self.config['legJoint3ToTip'])/(2*self.config['legJoint3ToTip']*lr))
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a1 = np.arccos((lr2 + self.j2_j3*self.j2_j3 -
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self.j3_tip*self.j3_tip)/(2*self.j2_j3*lr))
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a2 = np.arccos((lr2 - self.j2_j3*self.j2_j3 +
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self.j3_tip*self.j3_tip)/(2*self.j3_tip*lr))
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self.angles[:, 1] = ((ar + a1) * 180 / np.pi)
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self.angles[:, 2] = (90 - ((a1 + a2) * 180 / np.pi))
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