Functions

The Function class and its derivatives allow representing a mathematical function that can be used for cost or penalty computation.

ConstantFunction

$$f(x)=K,\mathrm{\forall }x\in \mathbb{N}$$

in python

my_constant_function = ps.ConstantFunction(value=55)
ps.plot_function(my_constant_function)

LinearFunction

$$f(x)=s\times x+i,\mathrm{\forall }x\in \mathbb{N}$$

in python

my_linear_function = ps.LinearFunction(slope=1, intercept=2)
ps.plot_function(my_linear_function)

PolynomialFunction

$$f(x)=a_n{x}^n+a_{n-1}{x}^{n-1}+...+a_i{x}^i+...+a_{1}x+a_0$$

my_polynomial_function = ps.PolynomialFunction(coefficients=[1, 2, 3, 4])
ps.plot_function(my_polynomial_function)