Functions

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

classDiagram
  Function <|-- ConstantFunction
  Function <|-- LinearFunction
  Function <|-- PolynomialFunction
class ConstantFunction{
    +int value
}
class LinearFunction{
    +int slope
    +int intercept
}
class PolynomialFunction{
    +List[int] coefficients
}

ConstantFunction

\[ f(x) = K, \forall x \in \mathbb{N}\]

in python

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

LinearFunction

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

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)