def main():
# loop over all experiments
for expt in session.query(models.Experiment):
print("In experiment '{}'".format(expt.id))
dt = 1 / expt.sampling_frequency
for traj in session.query(
models.Trajectory).filter_by(experiment=expt):
positions = traj.positions(session)
velocities = traj.velocities(session)
# calculate kinematic quantities
velocities_a = kinematics.norm(velocities)
accelerations = kinematics.acceleration(velocities, dt)
accelerations_a = kinematics.norm(accelerations)
headings = kinematics.heading(velocities)
angular_velocities = kinematics.angular_velocity(velocities, dt)
angular_velocities_a = kinematics.norm(angular_velocities)
angular_accelerations = kinematics.acceleration(
angular_velocities, dt)
angular_accelerations_a = kinematics.norm(angular_accelerations)
distance_from_wall = kinematics.distance_from_wall(
positions, WALL_BOUNDS)
# store kinematic quantities in timepoints
for ctr, tp in enumerate(traj.timepoints(session)):
tp.velocity_a = velocities_a[ctr]
tp.acceleration_x, tp.acceleration_y, tp.acceleration_z = accelerations[
ctr]
tp.acceleration_a = accelerations_a[ctr]
tp.heading_xy, tp.heading_xz, tp.heading_xyz = headings[ctr]
tp.angular_velocity_x, tp.angular_velocity_y, tp.angular_velocity_z = angular_velocities[
ctr]
tp.angular_velocity_a = angular_velocities_a[ctr]
tp.angular_acceleration_x, tp.angular_acceleration_y, tp.angular_acceleration_z = angular_accelerations[
ctr]
tp.angular_acceleration_a = angular_accelerations_a[ctr]
tp.distance_from_wall = distance_from_wall[ctr]
session.add(tp)
commit(session)
def main():
# loop over all experiments
for expt in session.query(models.Experiment):
print("In experiment '{}'".format(expt.id))
dt = 1 / expt.sampling_frequency
for traj in session.query(models.Trajectory).filter_by(experiment=expt):
positions = traj.positions(session)
velocities = traj.velocities(session)
# calculate kinematic quantities
velocities_a = kinematics.norm(velocities)
accelerations = kinematics.acceleration(velocities, dt)
accelerations_a = kinematics.norm(accelerations)
headings = kinematics.heading(velocities)
angular_velocities = kinematics.angular_velocity(velocities, dt)
angular_velocities_a = kinematics.norm(angular_velocities)
angular_accelerations = kinematics.acceleration(angular_velocities, dt)
angular_accelerations_a = kinematics.norm(angular_accelerations)
distance_from_wall = kinematics.distance_from_wall(positions, WALL_BOUNDS)
# store kinematic quantities in timepoints
for ctr, tp in enumerate(traj.timepoints(session)):
tp.velocity_a = velocities_a[ctr]
tp.acceleration_x, tp.acceleration_y, tp.acceleration_z = accelerations[ctr]
tp.acceleration_a = accelerations_a[ctr]
tp.heading_xy, tp.heading_xz, tp.heading_xyz = headings[ctr]
tp.angular_velocity_x, tp.angular_velocity_y, tp.angular_velocity_z = angular_velocities[ctr]
tp.angular_velocity_a = angular_velocities_a[ctr]
tp.angular_acceleration_x, tp.angular_acceleration_y, tp.angular_acceleration_z = angular_accelerations[ctr]
tp.angular_acceleration_a = angular_accelerations_a[ctr]
tp.distance_from_wall = distance_from_wall[ctr]
session.add(tp)
commit(session)
def test_example_velocities_are_correctly_differentiated(self):
v = np.array([[1., 1, 1], [2, 2, 2], [3, 3, 3], [5, 5, 5], [7, 7, 7], [10, 10, 10]])
dt = 0.1
a_correct = np.array([[1., 1, 1], [1, 1, 1], [1.5, 1.5, 1.5], [2, 2, 2], [2.5, 2.5, 2.5], [3, 3, 3]]) / dt
np.testing.assert_array_almost_equal(kinematics.acceleration(v, dt), a_correct)
def test_example_velocities_are_correctly_differentiated(self):
v = np.array([[1., 1, 1], [2, 2, 2], [3, 3, 3], [5, 5, 5], [7, 7, 7],
[10, 10, 10]])
dt = 0.1
a_correct = np.array([[1., 1, 1], [1, 1, 1], [1.5, 1.5, 1.5],
[2, 2, 2], [2.5, 2.5, 2.5], [3, 3, 3]]) / dt
np.testing.assert_array_almost_equal(kinematics.acceleration(v, dt),
a_correct)
# In[ ]:
def acceleration(xForce, yForce, zForce, mass):
xAccel = float(xForce) / float(mass)
yAccel = float(yForce) / float(mass)
zAccel = float(zForce) / float(mass)
return (xAccel, yAccel, zAccel)
# #### Q. What will this do?
# In[ ]:
acceleration(10, 20, 30, 5)
I put eKinetic and acceleration in a module called kinematics.py using a text editor.
Now, try the module in an IPython session:
# In[ ]:
# remember that this line overwrites the local definition
# because it has the same name as above!
from kinematics import eKinetic, acceleration
mass = 100
velocity = 10
xForce = 10
yForce = 20