def calculations(function_arguments, interpolation_arguments, interpolation_values):
x = sp.Symbol('x')
forward_interpolation_formula = forward_interpolation(interpolation_arguments, interpolation_values)
print(forward_interpolation_formula)
backward_interpolation_formula = backwards_interpolation(interpolation_arguments, interpolation_values)
print(backward_interpolation_formula)
forward_interpolation_coefficients = sp.Poly(forward_interpolation_formula, x).all_coeffs()
print(forward_interpolation_coefficients)
backward_interpolation_coefficients = sp.Poly(backward_interpolation_formula, x).all_coeffs()
print(backward_interpolation_coefficients)
polynomial_values = []
for argument in function_arguments:
if argument < (function_arguments[-1] + function_arguments[0]) / 2:
polynomial_values.append(get_polynomial_value(forward_interpolation_coefficients, argument))
else:
polynomial_values.append(get_polynomial_value(backward_interpolation_coefficients, argument))
return polynomial_values
def get_function_formula(function_number):
"""
Function returning a formula from a number of built-in function
:param function_number: a number of the given function
:return: formula of the given function number
"""
x = sp.Symbol('x')
if function_number == 1:
return x - 3
elif function_number == 2:
return get_polynomial_value([2, 1, -3, 7], x)
elif function_number == 3:
return 4 * sp.cos(x) + 6 * sp.sin(x)
elif function_number == 4:
return sp.sin(x + 2) - 1.6
else:
print("""
Przekazano nieprawidlowa wartosc numeru wzoru funkcji do metody "wartoscFunkcji" """
)
return None
def get_function_value(x, function_number):
"""
Function returning a value of a function given by it's number
:param x: name for the argument
:param function_number: a number of the given function
:return: value of the given function
"""
if function_number == 1:
return x - 3
elif function_number == 2:
return get_polynomial_value([2, 1, -3, 7], x)
elif function_number == 3:
return 4 * np.cos(x) + 6 * np.sin(x)
elif function_number == 4:
return np.sin(x + 2) - 1.6
else:
print("""
Przekazano nieprawidlowa wartosc numeru wzoru funkcji do metody "wartoscFunkcji" """
)
return None