- galois.Poly.__eq__(other: PolyLike) bool
Determines if two polynomials are equal.
- Parameters¶
- Returns¶
True
if the two polynomials have the same coefficients and are over the same finite field.
Examples¶
Compare two polynomials over the same field.
In [1]: a = galois.Poly([3, 0, 5], field=galois.GF(7)); a Out[1]: Poly(3x^2 + 5, GF(7)) In [2]: b = galois.Poly([3, 0, 5], field=galois.GF(7)); b Out[2]: Poly(3x^2 + 5, GF(7)) In [3]: a == b Out[3]: True # They are still two distinct objects, however In [4]: a is b Out[4]: False
Compare two polynomials with the same coefficients but over different fields.
In [5]: a = galois.Poly([3, 0, 5], field=galois.GF(7)); a Out[5]: Poly(3x^2 + 5, GF(7)) In [6]: b = galois.Poly([3, 0, 5], field=galois.GF(7**2)); b Out[6]: Poly(3x^2 + 5, GF(7^2)) In [7]: a == b Out[7]: False
Comparison with
PolyLike
objects is allowed for convenience.In [8]: GF = galois.GF(7) In [9]: a = galois.Poly([3, 0, 2], field=GF); a Out[9]: Poly(3x^2 + 2, GF(7)) In [10]: a == GF([3, 0, 2]) Out[10]: True In [11]: a == [3, 0, 2] Out[11]: True In [12]: a == "3x^2 + 2" Out[12]: True In [13]: a == 3*7**2 + 2 Out[13]: True