Initialisation du repository de Beta

venv/lib/python3.12/site-packages/sympy/simplify/tests/test_rewrite.py

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+from sympy.core.numbers import I
+from sympy.core.symbol import symbols
+from sympy.functions.elementary.exponential import exp
+from sympy.functions.elementary.trigonometric import (cos, cot, sin)
+from sympy.testing.pytest import _both_exp_pow
+
+x, y, z, n = symbols('x,y,z,n')
+
+
+@_both_exp_pow
+def test_has():
+    assert cot(x).has(x)
+    assert cot(x).has(cot)
+    assert not cot(x).has(sin)
+    assert sin(x).has(x)
+    assert sin(x).has(sin)
+    assert not sin(x).has(cot)
+    assert exp(x).has(exp)
+
+
+@_both_exp_pow
+def test_sin_exp_rewrite():
+    assert sin(x).rewrite(sin, exp) == -I/2*(exp(I*x) - exp(-I*x))
+    assert sin(x).rewrite(sin, exp).rewrite(exp, sin) == sin(x)
+    assert cos(x).rewrite(cos, exp).rewrite(exp, cos) == cos(x)
+    assert (sin(5*y) - sin(
+        2*x)).rewrite(sin, exp).rewrite(exp, sin) == sin(5*y) - sin(2*x)
+    assert sin(x + y).rewrite(sin, exp).rewrite(exp, sin) == sin(x + y)
+    assert cos(x + y).rewrite(cos, exp).rewrite(exp, cos) == cos(x + y)
+    # This next test currently passes... not clear whether it should or not?
+    assert cos(x).rewrite(cos, exp).rewrite(exp, sin) == cos(x)