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Some graph utilities implemented for Moser videos

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Grant Sanderson
2015-04-26 14:25:43 -07:00
parent 5aff0b6374
commit 8d5240e070
10 changed files with 565 additions and 50 deletions
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9
helpers.py
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@ -59,6 +59,8 @@ def make_even_by_cycling(iterable_1, iterable_2):
def sigmoid(x):
return 1.0/(1 + np.exp(-x))
### Alpha Functions ###
def high_inflection_0_to_1(t, inflection = 10.0):
error = sigmoid(-inflection / 2)
return (sigmoid(inflection*(t - 0.5)) - error) / (1 - 2*error)
@ -67,6 +69,10 @@ def there_and_back(t, inflection = 10.0):
new_t = 2*t if t < 0.5 else 2*(1 - t)
return high_inflection_0_to_1(new_t, inflection)
def not_quite_there(t, proportion = 0.7):
return proportion*high_inflection_0_to_1(t)
### Functional Functions ###
def composition(func_list):
"""
@ -124,8 +130,7 @@ def z_to_vector(vector):
return np.dot(rotation_about_z(theta), phi_down)
def rotate_vector(vector, angle, axis):
#Slightly hacky, changes vector in place
vector[:3] = np.dot(rotation_matrix(angle, axis), vector)
return np.dot(rotation_matrix(angle, axis), vector)
def angle_between(v1, v2):
return np.arccos(np.dot(