def test_sin():
x = Symbol("x")
e = sin(x)
assert e == sin(x)
assert e != cos(x)
assert sin(x).diff(x) == cos(x)
assert cos(x).diff(x) == -sin(x)
e = sqrt(x).diff(x).diff(x)
f = sin(e)
g = f.diff(x).diff(x)
assert isinstance(g, Add)
def test_sin():
x = Symbol("x")
e = sin(x)
assert e == sin(x)
assert e != cos(x)
assert sin(x).diff(x) == cos(x)
assert cos(x).diff(x) == -sin(x)
e = sqrt(x).diff(x).diff(x)
f = sin(e)
g = f.diff(x).diff(x)
assert isinstance(g, Add)
def test_sin():
x = Symbol("x")
y = Symbol("y")
e = sin(x)
assert e.subs({x: y}) == sin(y)
assert e.subs({x: y}) != sin(x)
e = cos(x)
assert e.subs({x: 0}) == 1
assert e.subs(x, 0) == 1
def test_sin():
x = Symbol("x")
y = Symbol("y")
e = sin(x)
assert e.subs({x: y}) == sin(y)
assert e.subs({x: y}) != sin(x)
e = cos(x)
assert e.subs({x: 0}) == 1
assert e.subs(x, 0) == 1
def test_abs():
x = Symbol("x")
e = abs(x)
assert e == abs(x)
assert e != cos(x)
assert abs(5) == 5
assert abs(-5) == 5
assert abs(Integer(5)/3) == Integer(5)/3
assert abs(-Integer(5)/3) == Integer(5)/3
assert abs(Integer(5)/3+x) != Integer(5)/3
assert abs(Integer(5)/3+x) == abs(Integer(5)/3+x)
def test_abs():
x = Symbol("x")
e = abs(x)
assert e == abs(x)
assert e != cos(x)
assert abs(5) == 5
assert abs(-5) == 5
assert abs(Integer(5)/3) == Integer(5)/3
assert abs(-Integer(5)/3) == Integer(5)/3
assert abs(Integer(5)/3+x) != Integer(5)/3
assert abs(Integer(5)/3+x) == abs(Integer(5)/3+x)
def test_conv7b():
x = sympy.Symbol("x")
y = sympy.Symbol("y")
assert sympify(sympy.sin(x / 3)) == sin(Symbol("x") / 3)
assert sympify(sympy.sin(x / 3)) != cos(Symbol("x") / 3)
assert sympify(sympy.cos(x / 3)) == cos(Symbol("x") / 3)
def test_conv7():
x = Symbol("x")
y = Symbol("y")
assert sin(x / 3)._sympy_() == sympy.sin(sympy.Symbol("x") / 3)
assert sin(x / 3)._sympy_() != sympy.cos(sympy.Symbol("x") / 3)
assert cos(x / 3)._sympy_() == sympy.cos(sympy.Symbol("x") / 3)
def test_args():
x = Symbol("x")
e = cos(x)
f = e.subs(x, 0, 3)
def test_args():
x = Symbol("x")
e = cos(x)
raises(TypeError, lambda: e.subs(x, 0, 3))
def test_eval_double2():
x = Symbol("x")
y = Symbol("y")
e = sin(x)**2 + cos(x)**2
raises(RuntimeError, lambda: (abs(eval_double(e) - 1) < 1e-9))
def test_eval_double1():
x = Symbol("x")
y = Symbol("y")
e = sin(x)**2 + cos(x)**2
e = e.subs(x, 7)
assert abs(eval_double(e) - 1) < 1e-9
def test_eval_double2():
x = Symbol("x")
y = Symbol("y")
e = sin(x)**2 + cos(x)**2
assert abs(eval_double(e) - 1) < 1e-9
def test_args():
x = Symbol("x")
e = cos(x)
f = e.subs(x, 0, 3)
def test_conv7():
x = Symbol("x")
y = Symbol("y")
assert sin(x/3)._sympy_() == sympy.sin(sympy.Symbol("x") / 3)
assert sin(x/3)._sympy_() != sympy.cos(sympy.Symbol("x") / 3)
assert cos(x/3)._sympy_() == sympy.cos(sympy.Symbol("x") / 3)
def test_conv7b():
x = sympy.Symbol("x")
y = sympy.Symbol("y")
assert sympify(sympy.sin(x/3)) == sin(Symbol("x") / 3)
assert sympify(sympy.sin(x/3)) != cos(Symbol("x") / 3)
assert sympify(sympy.cos(x/3)) == cos(Symbol("x") / 3)
def test_eval_double2():
x = Symbol("x")
y = Symbol("y")
e = sin(x)**2 + cos(x)**2
raises(RuntimeError, lambda: (abs(eval_double(e) - 1) < 1e-9))