polyno 1.2.2

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

Polynomial parameter is absolute list of coefficients
in descending order or dictionnary {degree:coef}

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

By default, Poly.coefs is list of polynomial degrees according to reversed sorted Poly.degs.
Exemple: P2.coefs is [2, 5], not [2, 0, 0, 5]

Below, get absolute list in ascending order of coefficients

>>> P2.coefficients()
[5.0, 0, 0, 2.0]
>>> 

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

Futures