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All animations for first draft of inventing math

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This commit is contained in:
Grant Sanderson
2015-08-12 14:24:36 -07:00
parent afdb7554ef
commit 5e8ec1112a
14 changed files with 783 additions and 191 deletions
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13
helpers.py
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@ -68,7 +68,8 @@ def to_cammel_case(name):
def initials(name, sep_values = [" ", "_"]):
return "".join([
s[0] for s in re.split("|".join(sep_values), name)
(s[0] if s else "")
for s in re.split("|".join(sep_values), name)
])
def cammel_case_initials(name):
@ -111,25 +112,25 @@ def make_even_by_cycling(iterable_1, iterable_2):
def sigmoid(x):
return 1.0/(1 + np.exp(-x))
def high_inflection_0_to_1(t, inflection = 10.0):
def smooth(t, inflection = 10.0):
error = sigmoid(-inflection / 2)
return (sigmoid(inflection*(t - 0.5)) - error) / (1 - 2*error)
def rush_into(t):
return 2*high_inflection_0_to_1(t/2.0)
return 2*smooth(t/2.0)
def rush_from(t):
return 2*high_inflection_0_to_1(t/2.0+0.5) - 1
return 2*smooth(t/2.0+0.5) - 1
def slow_into(t):
return np.sqrt(1-(1-t)*(1-t))
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)
return smooth(new_t, inflection)
def not_quite_there(t, proportion = 0.7):
return proportion*high_inflection_0_to_1(t)
return proportion*smooth(t)
def wiggle(t, wiggles = 2):
return there_and_back(t) * np.sin(wiggles*np.pi*t)