Module automatica::polynomial

Polynomials

Polynomial implementation

• builder from coefficients or roots
• degree
• extend by adding 0 coefficients to higher order terms
• arithmetic operations between polynomials (addition, subtraction, multiplication, division, reminder, negation)
• arithmetic operations with floats (addition, subtraction, multiplication, division)
• transformation to monic form
• roots finding (real and complex) using eigenvalues of the companion matrix
• differentiation and integration
• evaluation using real or complex numbers
• coefficient indexing
• zero and unit polynomials

Modules

arithmetic

Arithmetic module for polynomials

Structs

Poly	Polynomial object

Functions

complex_quadratic_roots	Calculate the complex roots of the quadratic equation x^2 + b*x + c = 0.
real_quadratic_roots	Calculate the real roots of the quadratic equation x^2 + b*x + c = 0.