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use matrix to simplify calculation

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master
Zhengyu Peng 3 years ago
parent ddaa006145
commit 3b0bb5219b
1 changed files with 7 additions and 180 deletions
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187
software/rpi/path_generator.py
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@ -204,204 +204,36 @@ def gen_rotatex_path(standby_coordinate,
path = np.zeros((g_steps, 6, 3))
result = []
step_angle = swing_angle / quarter
step_offset = y_radius / quarter
scx = np.append(standby_coordinate, np.ones((6, 1)), axis=1)
for i in range(quarter):
m = get_rotate_x_matrix(swing_angle - i*step_angle)
m[1, 3] = -i * step_offset
path[i, 0, 0] = standby_coordinate[0, 0]*m[0, 0]+standby_coordinate[0,
1]*m[0, 1]+standby_coordinate[0, 2]*m[0, 2]+m[0, 3]
path[i, 0, 1] = standby_coordinate[0, 0]*m[1, 0]+standby_coordinate[0,
1]*m[1, 1]+standby_coordinate[0, 2]*m[1, 2]+m[1, 3]
path[i, 0, 2] = standby_coordinate[0, 0]*m[2, 0]+standby_coordinate[0,
1]*m[2, 1]+standby_coordinate[0, 2]*m[2, 2]+m[2, 3]
path[i, 1, 0] = standby_coordinate[1, 0]*m[0, 0]+standby_coordinate[1,
1]*m[0, 1]+standby_coordinate[1, 2]*m[0, 2]+m[0, 3]
path[i, 1, 1] = standby_coordinate[1, 0]*m[1, 0]+standby_coordinate[1,
1]*m[1, 1]+standby_coordinate[1, 2]*m[1, 2]+m[1, 3]
path[i, 1, 2] = standby_coordinate[1, 0]*m[2, 0]+standby_coordinate[1,
1]*m[2, 1]+standby_coordinate[1, 2]*m[2, 2]+m[2, 3]
path[i, 2, 0] = standby_coordinate[2, 0]*m[0, 0]+standby_coordinate[2,
1]*m[0, 1]+standby_coordinate[2, 2]*m[0, 2]+m[0, 3]
path[i, 2, 1] = standby_coordinate[2, 0]*m[1, 0]+standby_coordinate[2,
1]*m[1, 1]+standby_coordinate[2, 2]*m[1, 2]+m[1, 3]
path[i, 2, 2] = standby_coordinate[2, 0]*m[2, 0]+standby_coordinate[2,
1]*m[2, 1]+standby_coordinate[2, 2]*m[2, 2]+m[2, 3]
path[i, 3, 0] = standby_coordinate[3, 0]*m[0, 0]+standby_coordinate[3,
1]*m[0, 1]+standby_coordinate[3, 2]*m[0, 2]+m[0, 3]
path[i, 3, 1] = standby_coordinate[3, 0]*m[1, 0]+standby_coordinate[3,
1]*m[1, 1]+standby_coordinate[3, 2]*m[1, 2]+m[1, 3]
path[i, 3, 2] = standby_coordinate[3, 0]*m[2, 0]+standby_coordinate[3,
1]*m[2, 1]+standby_coordinate[3, 2]*m[2, 2]+m[2, 3]
path[i, 4, 0] = standby_coordinate[4, 0]*m[0, 0]+standby_coordinate[4,
1]*m[0, 1]+standby_coordinate[4, 2]*m[0, 2]+m[0, 3]
path[i, 4, 1] = standby_coordinate[4, 0]*m[1, 0]+standby_coordinate[4,
1]*m[1, 1]+standby_coordinate[4, 2]*m[1, 2]+m[1, 3]
path[i, 4, 2] = standby_coordinate[4, 0]*m[2, 0]+standby_coordinate[4,
1]*m[2, 1]+standby_coordinate[4, 2]*m[2, 2]+m[2, 3]
path[i, 5, 0] = standby_coordinate[5, 0]*m[0, 0]+standby_coordinate[5,
1]*m[0, 1]+standby_coordinate[5, 2]*m[0, 2]+m[0, 3]
path[i, 5, 1] = standby_coordinate[5, 0]*m[1, 0]+standby_coordinate[5,
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[i, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
result.append(m)
path[i,:,:] = ((np.matmul(m, scx.T)).T)[:,:-1]
for i in range(quarter):
m = get_rotate_x_matrix(-i*step_angle)
m[1, 3] = -y_radius + i * step_offset
idx = i+quarter
path[idx, 0, 0] = standby_coordinate[0, 0]*m[0, 0]+standby_coordinate[0,
1]*m[0, 1]+standby_coordinate[0, 2]*m[0, 2]+m[0, 3]
path[idx, 0, 1] = standby_coordinate[0, 0]*m[1, 0]+standby_coordinate[0,
1]*m[1, 1]+standby_coordinate[0, 2]*m[1, 2]+m[1, 3]
path[idx, 0, 2] = standby_coordinate[0, 0]*m[2, 0]+standby_coordinate[0,
1]*m[2, 1]+standby_coordinate[0, 2]*m[2, 2]+m[2, 3]
path[idx, 1, 0] = standby_coordinate[1, 0]*m[0, 0]+standby_coordinate[1,
1]*m[0, 1]+standby_coordinate[1, 2]*m[0, 2]+m[0, 3]
path[idx, 1, 1] = standby_coordinate[1, 0]*m[1, 0]+standby_coordinate[1,
1]*m[1, 1]+standby_coordinate[1, 2]*m[1, 2]+m[1, 3]
path[idx, 1, 2] = standby_coordinate[1, 0]*m[2, 0]+standby_coordinate[1,
1]*m[2, 1]+standby_coordinate[1, 2]*m[2, 2]+m[2, 3]
path[idx, 2, 0] = standby_coordinate[2, 0]*m[0, 0]+standby_coordinate[2,
1]*m[0, 1]+standby_coordinate[2, 2]*m[0, 2]+m[0, 3]
path[idx, 2, 1] = standby_coordinate[2, 0]*m[1, 0]+standby_coordinate[2,
1]*m[1, 1]+standby_coordinate[2, 2]*m[1, 2]+m[1, 3]
path[idx, 2, 2] = standby_coordinate[2, 0]*m[2, 0]+standby_coordinate[2,
1]*m[2, 1]+standby_coordinate[2, 2]*m[2, 2]+m[2, 3]
path[idx, 3, 0] = standby_coordinate[3, 0]*m[0, 0]+standby_coordinate[3,
1]*m[0, 1]+standby_coordinate[3, 2]*m[0, 2]+m[0, 3]
path[idx, 3, 1] = standby_coordinate[3, 0]*m[1, 0]+standby_coordinate[3,
1]*m[1, 1]+standby_coordinate[3, 2]*m[1, 2]+m[1, 3]
path[idx, 3, 2] = standby_coordinate[3, 0]*m[2, 0]+standby_coordinate[3,
1]*m[2, 1]+standby_coordinate[3, 2]*m[2, 2]+m[2, 3]
path[idx, 4, 0] = standby_coordinate[4, 0]*m[0, 0]+standby_coordinate[4,
1]*m[0, 1]+standby_coordinate[4, 2]*m[0, 2]+m[0, 3]
path[idx, 4, 1] = standby_coordinate[4, 0]*m[1, 0]+standby_coordinate[4,
1]*m[1, 1]+standby_coordinate[4, 2]*m[1, 2]+m[1, 3]
path[idx, 4, 2] = standby_coordinate[4, 0]*m[2, 0]+standby_coordinate[4,
1]*m[2, 1]+standby_coordinate[4, 2]*m[2, 2]+m[2, 3]
path[idx, 5, 0] = standby_coordinate[5, 0]*m[0, 0]+standby_coordinate[5,
1]*m[0, 1]+standby_coordinate[5, 2]*m[0, 2]+m[0, 3]
path[idx, 5, 1] = standby_coordinate[5, 0]*m[1, 0]+standby_coordinate[5,
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
result.append(m)
path[i+quarter,:,:] = ((np.matmul(m, scx.T)).T)[:,:-1]
for i in range(quarter):
m = get_rotate_x_matrix(i*step_angle-swing_angle)
m[1, 3] = i * step_offset
idx = i+quarter*2
path[idx, 0, 0] = standby_coordinate[0, 0]*m[0, 0]+standby_coordinate[0,
1]*m[0, 1]+standby_coordinate[0, 2]*m[0, 2]+m[0, 3]
path[idx, 0, 1] = standby_coordinate[0, 0]*m[1, 0]+standby_coordinate[0,
1]*m[1, 1]+standby_coordinate[0, 2]*m[1, 2]+m[1, 3]
path[idx, 0, 2] = standby_coordinate[0, 0]*m[2, 0]+standby_coordinate[0,
1]*m[2, 1]+standby_coordinate[0, 2]*m[2, 2]+m[2, 3]
path[idx, 1, 0] = standby_coordinate[1, 0]*m[0, 0]+standby_coordinate[1,
1]*m[0, 1]+standby_coordinate[1, 2]*m[0, 2]+m[0, 3]
path[idx, 1, 1] = standby_coordinate[1, 0]*m[1, 0]+standby_coordinate[1,
1]*m[1, 1]+standby_coordinate[1, 2]*m[1, 2]+m[1, 3]
path[idx, 1, 2] = standby_coordinate[1, 0]*m[2, 0]+standby_coordinate[1,
1]*m[2, 1]+standby_coordinate[1, 2]*m[2, 2]+m[2, 3]
path[idx, 2, 0] = standby_coordinate[2, 0]*m[0, 0]+standby_coordinate[2,
1]*m[0, 1]+standby_coordinate[2, 2]*m[0, 2]+m[0, 3]
path[idx, 2, 1] = standby_coordinate[2, 0]*m[1, 0]+standby_coordinate[2,
1]*m[1, 1]+standby_coordinate[2, 2]*m[1, 2]+m[1, 3]
path[idx, 2, 2] = standby_coordinate[2, 0]*m[2, 0]+standby_coordinate[2,
1]*m[2, 1]+standby_coordinate[2, 2]*m[2, 2]+m[2, 3]
path[idx, 3, 0] = standby_coordinate[3, 0]*m[0, 0]+standby_coordinate[3,
1]*m[0, 1]+standby_coordinate[3, 2]*m[0, 2]+m[0, 3]
path[idx, 3, 1] = standby_coordinate[3, 0]*m[1, 0]+standby_coordinate[3,
1]*m[1, 1]+standby_coordinate[3, 2]*m[1, 2]+m[1, 3]
path[idx, 3, 2] = standby_coordinate[3, 0]*m[2, 0]+standby_coordinate[3,
1]*m[2, 1]+standby_coordinate[3, 2]*m[2, 2]+m[2, 3]
path[idx, 4, 0] = standby_coordinate[4, 0]*m[0, 0]+standby_coordinate[4,
1]*m[0, 1]+standby_coordinate[4, 2]*m[0, 2]+m[0, 3]
path[idx, 4, 1] = standby_coordinate[4, 0]*m[1, 0]+standby_coordinate[4,
1]*m[1, 1]+standby_coordinate[4, 2]*m[1, 2]+m[1, 3]
path[idx, 4, 2] = standby_coordinate[4, 0]*m[2, 0]+standby_coordinate[4,
1]*m[2, 1]+standby_coordinate[4, 2]*m[2, 2]+m[2, 3]
path[idx, 5, 0] = standby_coordinate[5, 0]*m[0, 0]+standby_coordinate[5,
1]*m[0, 1]+standby_coordinate[5, 2]*m[0, 2]+m[0, 3]
path[idx, 5, 1] = standby_coordinate[5, 0]*m[1, 0]+standby_coordinate[5,
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
result.append(m)
path[i+quarter*2,:,:] = ((np.matmul(m, scx.T)).T)[:,:-1]
for i in range(quarter):
m = get_rotate_x_matrix(i*step_angle)
m[1, 3] = y_radius-i * step_offset
idx = i+quarter*3
path[idx, 0, 0] = standby_coordinate[0, 0]*m[0, 0]+standby_coordinate[0,
1]*m[0, 1]+standby_coordinate[0, 2]*m[0, 2]+m[0, 3]
path[idx, 0, 1] = standby_coordinate[0, 0]*m[1, 0]+standby_coordinate[0,
1]*m[1, 1]+standby_coordinate[0, 2]*m[1, 2]+m[1, 3]
path[idx, 0, 2] = standby_coordinate[0, 0]*m[2, 0]+standby_coordinate[0,
1]*m[2, 1]+standby_coordinate[0, 2]*m[2, 2]+m[2, 3]
path[idx, 1, 0] = standby_coordinate[1, 0]*m[0, 0]+standby_coordinate[1,
1]*m[0, 1]+standby_coordinate[1, 2]*m[0, 2]+m[0, 3]
path[idx, 1, 1] = standby_coordinate[1, 0]*m[1, 0]+standby_coordinate[1,
1]*m[1, 1]+standby_coordinate[1, 2]*m[1, 2]+m[1, 3]
path[idx, 1, 2] = standby_coordinate[1, 0]*m[2, 0]+standby_coordinate[1,
1]*m[2, 1]+standby_coordinate[1, 2]*m[2, 2]+m[2, 3]
path[idx, 2, 0] = standby_coordinate[2, 0]*m[0, 0]+standby_coordinate[2,
1]*m[0, 1]+standby_coordinate[2, 2]*m[0, 2]+m[0, 3]
path[idx, 2, 1] = standby_coordinate[2, 0]*m[1, 0]+standby_coordinate[2,
1]*m[1, 1]+standby_coordinate[2, 2]*m[1, 2]+m[1, 3]
path[idx, 2, 2] = standby_coordinate[2, 0]*m[2, 0]+standby_coordinate[2,
1]*m[2, 1]+standby_coordinate[2, 2]*m[2, 2]+m[2, 3]
path[idx, 3, 0] = standby_coordinate[3, 0]*m[0, 0]+standby_coordinate[3,
1]*m[0, 1]+standby_coordinate[3, 2]*m[0, 2]+m[0, 3]
path[idx, 3, 1] = standby_coordinate[3, 0]*m[1, 0]+standby_coordinate[3,
1]*m[1, 1]+standby_coordinate[3, 2]*m[1, 2]+m[1, 3]
path[idx, 3, 2] = standby_coordinate[3, 0]*m[2, 0]+standby_coordinate[3,
1]*m[2, 1]+standby_coordinate[3, 2]*m[2, 2]+m[2, 3]
path[idx, 4, 0] = standby_coordinate[4, 0]*m[0, 0]+standby_coordinate[4,
1]*m[0, 1]+standby_coordinate[4, 2]*m[0, 2]+m[0, 3]
path[idx, 4, 1] = standby_coordinate[4, 0]*m[1, 0]+standby_coordinate[4,
1]*m[1, 1]+standby_coordinate[4, 2]*m[1, 2]+m[1, 3]
path[idx, 4, 2] = standby_coordinate[4, 0]*m[2, 0]+standby_coordinate[4,
1]*m[2, 1]+standby_coordinate[4, 2]*m[2, 2]+m[2, 3]
path[idx, 5, 0] = standby_coordinate[5, 0]*m[0, 0]+standby_coordinate[5,
1]*m[0, 1]+standby_coordinate[5, 2]*m[0, 2]+m[0, 3]
path[idx, 5, 1] = standby_coordinate[5, 0]*m[1, 0]+standby_coordinate[5,
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
result.append(m)
path[i+quarter*3,:,:] = ((np.matmul(m, scx.T)).T)[:,:-1]
return path
# return result, "matrix", 50, (0, quarter*2)
def gen_rotatey_path(standby_coordinate):
@ -416,7 +248,6 @@ def gen_rotatey_path(standby_coordinate):
path = np.zeros((g_steps, 6, 3))
result = []
step_angle = swing_angle / quarter
step_offset = x_radius / quarter
@ -465,7 +296,6 @@ def gen_rotatey_path(standby_coordinate):
path[i, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
# result.append(m)
for i in range(quarter):
m = get_rotate_y_matrix(-i*step_angle)
@ -514,7 +344,6 @@ def gen_rotatey_path(standby_coordinate):
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
# result.append(m)
for i in range(quarter):
m = get_rotate_y_matrix(i*step_angle-swing_angle)
@ -562,7 +391,6 @@ def gen_rotatey_path(standby_coordinate):
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
# result.append(m)
for i in range(quarter):
m = get_rotate_y_matrix(i*step_angle)
@ -610,7 +438,6 @@ def gen_rotatey_path(standby_coordinate):
1]*m[1, 1]+standby_coordinate[5, 2]*m[1, 2]+m[1, 3]
path[idx, 5, 2] = standby_coordinate[5, 0]*m[2, 0]+standby_coordinate[5,
1]*m[2, 1]+standby_coordinate[5, 2]*m[2, 2]+m[2, 3]
# result.append(m)
return path

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