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Switched flame function to cosine.

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Faerbit 2015-03-08 22:11:49 +01:00
parent 65e2e326ed
commit 528108e7bc
1 changed files with 12 additions and 12 deletions
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24
math-scripts/flame_solver.py
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@ -7,16 +7,16 @@ from collections import namedtuple
Result = namedtuple("Result", ["p1", "p2", "error"]) Result = namedtuple("Result", ["p1", "p2", "error"])
def main(): def main():
# f(x) = p1 * sin(p2 * x) # f(x) = p1 * cos(p2 * x)
parameter_sin_1=2 parameter_cos_1=0.3
parameter_sin_2=0.5 parameter_cos_2=1.5
transition_point = (1/parameter_sin_2) * pi * 0.75 transition_point = (1/parameter_cos_2) * pi/2 * 0.65
sin_value = parameter_sin_1 * sin(parameter_sin_2 * transition_point) cos_value = parameter_cos_1 * cos(parameter_cos_2 * transition_point)
derived_sin_value = parameter_sin_1 * parameter_sin_2 * cos(parameter_sin_2 * transition_point) derived_cos_value = parameter_cos_1 * parameter_cos_2 * -sin(parameter_cos_2 * transition_point)
#g(x) = e^(p1 - p2 * x) #g(x) = e^(p1 - p2 * x)
result = Result(10, 10, 1) result = Result(10, 10, 1)
@ -26,16 +26,16 @@ def main():
parameter_ex_p2 = list(arange(result.p2 - step, result.p2 + step, step/100)) parameter_ex_p2 = list(arange(result.p2 - step, result.p2 + step, step/100))
step /= 10 step /= 10
result = calculate(parameter_ex_p1, parameter_ex_p2, transition_point, sin_value, derived_sin_value) result = calculate(parameter_ex_p1, parameter_ex_p2, transition_point, cos_value, derived_cos_value)
print("sin p1: " + str(parameter_sin_1)) print("cos p1: " + str(parameter_cos_1))
print("sin p2: " + str(parameter_sin_2)) print("cos p2: " + str(parameter_cos_2))
print("transition point: " + str(transition_point)) print("transition point: " + str(transition_point))
print("p1: " + str(result.p1)) print("p1: " + str(result.p1))
print("p2: " + str(result.p2)) print("p2: " + str(result.p2))
print("combined error: " + str(result.error)) print("combined error: " + str(result.error))
def calculate(parameter_ex_p1, parameter_ex_p2, transition_point, sin_value, derived_sin_value): def calculate(parameter_ex_p1, parameter_ex_p2, transition_point, cos_value, derived_cos_value):
best_parameter_ex_p1 = -1 best_parameter_ex_p1 = -1
best_parameter_ex_p2 = -1 best_parameter_ex_p2 = -1
best_combined_error = 100 best_combined_error = 100
@ -43,8 +43,8 @@ def calculate(parameter_ex_p1, parameter_ex_p2, transition_point, sin_value, der
for p2 in parameter_ex_p2: for p2 in parameter_ex_p2:
value = exp(p1 - p2 * transition_point) value = exp(p1 - p2 * transition_point)
derived_value = - p2 * exp(p1 - p2 * transition_point) derived_value = - p2 * exp(p1 - p2 * transition_point)
error = abs(value - sin_value) error = abs(value - cos_value)
derived_error = abs(derived_value - derived_sin_value) derived_error = abs(derived_value - derived_cos_value)
combined_error = error + derived_error combined_error = error + derived_error
if combined_error < best_combined_error: if combined_error < best_combined_error:
best_parameter_ex_p1 = p1 best_parameter_ex_p1 = p1