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Added solver which helps with selecting a fit function for the flames.

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Faerbit 2015-02-27 15:43:33 +01:00
parent b0b2c71139
commit 2506a941d8
1 changed files with 41 additions and 0 deletions
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flame_solver.py Executable file
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#!/usr/bin/env python3
from math import pi, sin, cos, exp
from numpy import arange
# f(x) = p1 * sin(p2 * x)
parameter_sin_1=3
parameter_sin_2=0.3
transition_point = (1/parameter_sin_2) * pi * 0.75
sin_value = parameter_sin_1 * sin(parameter_sin_2 * transition_point)
derived_sin_value = parameter_sin_1 * parameter_sin_2 * cos(parameter_sin_2 * transition_point)
#g(x) = e^(p1 - p2 * x)
parameter_ex_p1 = list(arange(0,10, 0.01))
parameter_ex_p2 = list(arange(0, 1, 0.00001))
best_parameter_ex_p1 = -1
best_parameter_ex_p2 = -1
value = exp(parameter_ex_p1[0] - parameter_ex_p2[0] * transition_point)
derived_value = - parameter_ex_p2[0] * exp(parameter_ex_p1[0] - parameter_ex_p2[0] * transition_point)
value_error = abs(value - sin_value)
derived_value_error = abs(derived_value - derived_sin_value)
for p1 in parameter_ex_p1:
for p2 in parameter_ex_p2:
value = exp(p1 - p2 * transition_point)
derived_value = - p2 * exp(p1 - p2 * transition_point)
if abs(value - sin_value) < value_error and abs(derived_value - derived_sin_value) < derived_value_error:
value_error = abs(value -sin_value)
derived_value_error = abs(derived_value - derived_sin_value)
best_parameter_ex_p1 = p1
best_parameter_ex_p2 = p2
print("p1: " + str(best_parameter_ex_p1))
print("p2: " + str(best_parameter_ex_p2))
print("value error: " + str(value_error))
print("derived value error: " + str(derived_value_error))