polyno 1.0.2

Polyno: polynomial object

Polyno

Polynomial object (class)

Installation

pip install polyno

Import Poly object

from polyno import Poly

Set P1 and P2 for the examples below

>>> P1 = Poly({1:1, 2:3})
>>> P2 = Poly({0:5, 3:2})

Print polynomial

>>> P1.toString()
'3x^2 + x'
>>> print(P1)
3x^2 + x
>>> print(P2)
2x^3 + 5
>>> 

Addition (with Poly and scalar)

>>> P1 + P2
2x^3 + 3x^2 + x + 5
>>>
>>> P1 + 2
3x^2 + x + 2
>>>

Substraction (with Poly and scalar)

>>> P1 - P2
-2x^3 + 3x^2 + x - 5
>>> P2 - P1
2x^3 - 3x^2 - x + 5
>>> P1 - 2
3x^2 + x - 2
>>>

Multiplication with scalar

>>> P1 * -2
-6x^2 - 2x
>>> P2 * 3
6x^3 + 15
>>> 

Multiplication with Poly

>>> P1 * P2
6x^5 + 2x^4 + 15x^2 + 5x
>>> 

Division with scalar

>>> P2/2
x^3 + 2.5
>>> 

Derivative

>>> P1.derivative()
6x + 1
>>> 

k_th order Derivative

>>> P2 = Poly({0:5, 3:2})
>>> print(P2.derivative())
6x^2
>>> print(P2.derivative(2))
12x
>>> print(P2.derivative(3))
12
>>>

Other method

eval: value of P(x)
integral: polynomial integral from a to b
zero: solution of P(x) = 0 for x in [a, b] interval