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80 changes: 80 additions & 0 deletions chapters/computational_physics/verlet.md
Original file line number Diff line number Diff line change
Expand Up @@ -252,3 +252,83 @@ public static void main(String[] args) {

}
```

#### Python

```Python

# KingFredrickVI


class Ball:

def __init__(self, pos=0, vel=0, acc=0):
self.pos = pos
self.vel = vel
self.acc = acc


class Simulation:

def __init__(self, obj, dt = 0.01):
self.obj = obj
self.dt = dt
self.prev_pos = self.obj.pos

def run(self):
self.time = 0

while self.obj.pos > 0:
self.time += self.dt
self.step()

def step(self):
pass


class Verlet(Simulation):

def step(self):
temp_pos = self.obj.pos
self.obj.pos = self.obj.pos * 2 - self.prev_pos + self.obj.acc * self.dt * self.dt
self.prev_pos = temp_pos


class Stormer_Verlet(Simulation):

def step(self):
temp_pos = self.obj.pos
self.obj.pos = self.obj.pos * 2 - self.prev_pos + self.obj.acc * self.dt * self.dt
self.prev_pos = temp_pos

self.obj.vel += self.obj.acc * self.dt


class Velocity_Verlet(Simulation):

def step(self):
self.obj.pos += self.obj.vel * self.dt + 0.5 * self.obj.acc * self.dt * self.dt
self.obj.vel += self.obj.acc * self.dt


def main():
sim = Verlet(Ball(pos = 5.0, acc = -10))
sim.run()

print "Verlet:", sim.time

sim = Stormer_Verlet(Ball(pos = 5.0, acc = -10))
sim.run()

print "Stormer Verlet:", sim.time

sim = Velocity_Verlet(Ball(pos = 5.0, acc = -10))
sim.run()

print "Velocity Verlet:", sim.time


if __name__ == "__main__":
main()

```