debug integrator
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@@ -16,9 +16,11 @@ def dp_dt(m_array, q_array):
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"""
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dp_array = np.zeros(q_array.shape)
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for i in range(q_array.shape[0]):
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m_j = np.delete(m_array, i)
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q_j = np.delete(q_array, i, 0)
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dp_array = -m_array[i]*np.sum((m_j/np.sum((q_j-q_array[i])**3, axis=1)).reshape((q_j.shape[0],1))*(q_j-q_array[i]), axis=0)
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m_j = np.delete(m_array, i).reshape((q_j.shape[0],1))
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dp_array[i] = -m_array[i]*np.sum(m_j/np.sum(np.sqrt(np.sum((q_j-q_array[i])**2, axis=0)))**3*(q_j-q_array[i]), axis=0)
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dp_array[np.isnan(dp_array)] = 0.
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print(dp_array)
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return dp_array
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def frogleap(duration, step, m_array, q_array, p_array, display=False):
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@@ -38,11 +40,15 @@ def frogleap(duration, step, m_array, q_array, p_array, display=False):
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q_array, p_array = q_array , p_array - step*dp_dt(m_array, q_array)
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# half-step drift
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q_array, p_array = q_array + step/2*p_array/m_array , p_array
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#print(p_array)
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# In center of mass frame
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q_cm = np.sum(m_array.reshape((q_array.shape[0],1))*q_array, axis=0)/m_array.sum()
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q_array -= q_cm
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if display:
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# display progression
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q_cm = np.sum(m_array.reshape((q_array.shape[0],1))*q_array, axis=0)/m_array.sum()
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d.on_running(q_array[:,0]-q_cm[0], q_array[:,1]-q_cm[1])
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time.sleep(0.1)
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d.on_running(q_array[:,0], q_array[:,1])
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time.sleep(0.01)
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return q_array, p_array
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@@ -11,6 +11,8 @@ class DynamicUpdate():
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min_x = -10
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max_x = 10
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plt.ion()
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def on_launch(self):
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#Set up plot
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self.figure, self.ax = plt.subplots()
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