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from manimlib.imports import *
TIME_COLOR = YELLOW
X_COLOR = GREEN
def get_heat_equation():
pass
def temperature_to_color(temp, min_temp=-1, max_temp=1):
colors = [BLUE, TEAL, GREEN, YELLOW, "#ff0000"]
alpha = inverse_interpolate(min_temp, max_temp, temp)
index, sub_alpha = integer_interpolate(
0, len(colors) - 1, alpha
)
return interpolate_color(
colors[index], colors[index + 1], sub_alpha
)
def two_d_temp_func(x, y, t):
return np.sum([
c * np.sin(f * var) * np.exp(-(f**2) * t)
for c, f, var in [
(0.2, 1, x),
(0.3, 3, x),
(0.02, 5, x),
(0.01, 7, x),
(0.5, 2, y),
(0.1, 10, y),
(0.01, 20, y),
]
])
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