Initialisation du repository de Beta

venv/lib/python3.12/site-packages/sympy/polys/tests/test_hypothesis.py

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+from hypothesis import given
+from hypothesis import strategies as st
+from sympy.abc import x
+from sympy.polys.polytools import Poly
+
+
+def polys(*, nonzero=False, domain="ZZ"):
+    # This is a simple strategy, but sufficient the tests below
+    elems = {"ZZ": st.integers(), "QQ": st.fractions()}
+    coeff_st = st.lists(elems[domain])
+    if nonzero:
+        coeff_st = coeff_st.filter(any)
+    return st.builds(Poly, coeff_st, st.just(x), domain=st.just(domain))
+
+
+@given(f=polys(), g=polys(), r=polys())
+def test_gcd_hypothesis(f, g, r):
+    gcd_1 = f.gcd(g)
+    gcd_2 = g.gcd(f)
+    assert gcd_1 == gcd_2
+
+    # multiply by r
+    gcd_3 = g.gcd(f + r * g)
+    assert gcd_1 == gcd_3
+
+
+@given(f_z=polys(), g_z=polys(nonzero=True))
+def test_poly_hypothesis_integers(f_z, g_z):
+    remainder_z = f_z.rem(g_z)
+    assert g_z.degree() >= remainder_z.degree() or remainder_z.degree() == 0
+
+
+@given(f_q=polys(domain="QQ"), g_q=polys(nonzero=True, domain="QQ"))
+def test_poly_hypothesis_rationals(f_q, g_q):
+    remainder_q = f_q.rem(g_q)
+    assert g_q.degree() >= remainder_q.degree() or remainder_q.degree() == 0