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Mini Shell
Mini Shell
from sympy.testing.pytest import warns_deprecated_sympy
from sympy import Symbol, Poly
from sympy.matrices import Matrix
from sympy.matrices.normalforms import invariant_factors, smith_normal_form
from sympy.polys.domains import ZZ, QQ
def test_smith_normal():
m = Matrix([[12,6,4,8],[3,9,6,12],[2,16,14,28],[20,10,10,20]])
smf = Matrix([[1, 0, 0, 0], [0, 10, 0, 0], [0, 0, -30, 0], [0, 0, 0, 0]])
assert smith_normal_form(m) == smf
x = Symbol('x')
with warns_deprecated_sympy():
m = Matrix([[Poly(x-1), Poly(1, x),Poly(-1,x)],
[0, Poly(x), Poly(-1,x)],
[Poly(0,x),Poly(-1,x),Poly(x)]])
invs = 1, x - 1, x**2 - 1
assert invariant_factors(m, domain=QQ[x]) == invs
m = Matrix([[2, 4]])
smf = Matrix([[2, 0]])
assert smith_normal_form(m) == smf
def test_smith_normal_deprecated():
from sympy.polys.solvers import RawMatrix as Matrix
with warns_deprecated_sympy():
m = Matrix([[12, 6, 4,8],[3,9,6,12],[2,16,14,28],[20,10,10,20]])
setattr(m, 'ring', ZZ)
with warns_deprecated_sympy():
smf = Matrix([[1, 0, 0, 0], [0, 10, 0, 0], [0, 0, -30, 0], [0, 0, 0, 0]])
assert smith_normal_form(m) == smf
x = Symbol('x')
with warns_deprecated_sympy():
m = Matrix([[Poly(x-1), Poly(1, x),Poly(-1,x)],
[0, Poly(x), Poly(-1,x)],
[Poly(0,x),Poly(-1,x),Poly(x)]])
setattr(m, 'ring', QQ[x])
invs = (Poly(1, x, domain='QQ'), Poly(x - 1, domain='QQ'), Poly(x**2 - 1, domain='QQ'))
assert invariant_factors(m) == invs
with warns_deprecated_sympy():
m = Matrix([[2, 4]])
setattr(m, 'ring', ZZ)
with warns_deprecated_sympy():
smf = Matrix([[2, 0]])
assert smith_normal_form(m) == smf
Zerion Mini Shell 1.0