def test_operator():
a = Operator('A')
b = Operator('B', Symbol('t'), S(1) / 2)
inv = a.inv()
f = Function('f')
x = symbols('x')
d = DifferentialOperator(Derivative(f(x), x), f(x))
op = OuterProduct(Ket(), Bra())
assert str(a) == 'A'
assert pretty(a) == 'A'
assert upretty(a) == u'A'
assert latex(a) == 'A'
sT(a, "Operator(Symbol('A'))")
assert str(inv) == 'A**(-1)'
ascii_str = \
"""\
-1\n\
A \
"""
ucode_str = \
u"""\
-1\n\
A \
"""
assert pretty(inv) == ascii_str
assert upretty(inv) == ucode_str
assert latex(inv) == r'\left(A\right)^{-1}'
sT(inv, "Pow(Operator(Symbol('A')), Integer(-1))")
assert str(d) == 'DifferentialOperator(Derivative(f(x), x),f(x))'
ascii_str = \
"""\
/d \\\n\
DifferentialOperator|--(f(x)),f(x)|\n\
\dx /\
"""
ucode_str = \
u"""\
⎛d ⎞\n\
DifferentialOperator⎜──(f(x)),f(x)⎟\n\
⎝dx ⎠\
"""
assert pretty(d) == ascii_str
assert upretty(d) == ucode_str
assert latex(d) == \
r'DifferentialOperator\left(\frac{\partial}{\partial x} \operatorname{f}{\left (x \right )},\operatorname{f}{\left (x \right )}\right)'
sT(
d,
"DifferentialOperator(Derivative(Function('f')(Symbol('x')), Symbol('x')),Function('f')(Symbol('x')))"
)
assert str(b) == 'Operator(B,t,1/2)'
assert pretty(b) == 'Operator(B,t,1/2)'
assert upretty(b) == u'Operator(B,t,1/2)'
assert latex(b) == r'Operator\left(B,t,\frac{1}{2}\right)'
sT(b, "Operator(Symbol('B'),Symbol('t'),Rational(1, 2))")
assert str(op) == '|psi><psi|'
assert pretty(op) == '|psi><psi|'
assert upretty(op) == u'❘ψ⟩⟨ψ❘'
assert latex(op) == r'{\left|\psi\right\rangle }{\left\langle \psi\right|}'
sT(op, "OuterProduct(Ket(Symbol('psi')),Bra(Symbol('psi')))")
def test_operator():
a = Operator("A")
b = Operator("B", Symbol("t"), S.Half)
inv = a.inv()
f = Function("f")
x = symbols("x")
d = DifferentialOperator(Derivative(f(x), x), f(x))
op = OuterProduct(Ket(), Bra())
assert str(a) == "A"
assert pretty(a) == "A"
assert upretty(a) == u"A"
assert latex(a) == "A"
sT(a, "Operator(Symbol('A'))")
assert str(inv) == "A**(-1)"
ascii_str = """\
-1\n\
A \
"""
ucode_str = u("""\
-1\n\
A \
""")
assert pretty(inv) == ascii_str
assert upretty(inv) == ucode_str
assert latex(inv) == r"A^{-1}"
sT(inv, "Pow(Operator(Symbol('A')), Integer(-1))")
assert str(d) == "DifferentialOperator(Derivative(f(x), x),f(x))"
ascii_str = """\
/d \\\n\
DifferentialOperator|--(f(x)),f(x)|\n\
\\dx /\
"""
ucode_str = u("""\
⎛d ⎞\n\
DifferentialOperator⎜──(f(x)),f(x)⎟\n\
⎝dx ⎠\
""")
assert pretty(d) == ascii_str
assert upretty(d) == ucode_str
assert (
latex(d) ==
r"DifferentialOperator\left(\frac{d}{d x} f{\left(x \right)},f{\left(x \right)}\right)"
)
sT(
d,
"DifferentialOperator(Derivative(Function('f')(Symbol('x')), Tuple(Symbol('x'), Integer(1))),Function('f')(Symbol('x')))",
)
assert str(b) == "Operator(B,t,1/2)"
assert pretty(b) == "Operator(B,t,1/2)"
assert upretty(b) == u"Operator(B,t,1/2)"
assert latex(b) == r"Operator\left(B,t,\frac{1}{2}\right)"
sT(b, "Operator(Symbol('B'),Symbol('t'),Rational(1, 2))")
assert str(op) == "|psi><psi|"
assert pretty(op) == "|psi><psi|"
assert upretty(op) == u"❘ψ⟩⟨ψ❘"
assert latex(op) == r"{\left|\psi\right\rangle }{\left\langle \psi\right|}"
sT(op, "OuterProduct(Ket(Symbol('psi')),Bra(Symbol('psi')))")
def test_operator():
a = Operator('A')
b = Operator('B', Symbol('t'), S(1)/2)
inv = a.inv()
f = Function('f')
x = symbols('x')
d = DifferentialOperator(Derivative(f(x), x), f(x))
op = OuterProduct(Ket(), Bra())
assert str(a) == 'A'
assert pretty(a) == 'A'
assert upretty(a) == u('A')
assert latex(a) == 'A'
sT(a, "Operator(Symbol('A'))")
assert str(inv) == 'A**(-1)'
ascii_str = \
"""\
-1\n\
A \
"""
ucode_str = \
u("""\
-1\n\
A \
""")
assert pretty(inv) == ascii_str
assert upretty(inv) == ucode_str
assert latex(inv) == r'\left(A\right)^{-1}'
sT(inv, "Pow(Operator(Symbol('A')), Integer(-1))")
assert str(d) == 'DifferentialOperator(Derivative(f(x), x),f(x))'
ascii_str = \
"""\
/d \\\n\
DifferentialOperator|--(f(x)),f(x)|\n\
\dx /\
"""
ucode_str = \
u("""\
⎛d ⎞\n\
DifferentialOperator⎜──(f(x)),f(x)⎟\n\
⎝dx ⎠\
""")
assert pretty(d) == ascii_str
assert upretty(d) == ucode_str
assert latex(d) == \
r'DifferentialOperator\left(\frac{d}{d x} f{\left (x \right )},f{\left (x \right )}\right)'
sT(d, "DifferentialOperator(Derivative(Function('f')(Symbol('x')), Symbol('x')),Function('f')(Symbol('x')))")
assert str(b) == 'Operator(B,t,1/2)'
assert pretty(b) == 'Operator(B,t,1/2)'
assert upretty(b) == u('Operator(B,t,1/2)')
assert latex(b) == r'Operator\left(B,t,\frac{1}{2}\right)'
sT(b, "Operator(Symbol('B'),Symbol('t'),Rational(1, 2))")
assert str(op) == '|psi><psi|'
assert pretty(op) == '|psi><psi|'
assert upretty(op) == u('❘ψ⟩⟨ψ❘')
assert latex(op) == r'{\left|\psi\right\rangle }{\left\langle \psi\right|}'
sT(op, "OuterProduct(Ket(Symbol('psi')),Bra(Symbol('psi')))")
def test_operator():
a = Operator("A")
b = Operator("B", Symbol("t"), S(1) / 2)
inv = a.inv()
f = Function("f")
x = symbols("x")
d = DifferentialOperator(Derivative(f(x), x), f(x))
op = OuterProduct(Ket(), Bra())
assert str(a) == "A"
assert pretty(a) == "A"
assert upretty(a) == u"A"
assert latex(a) == "A"
sT(a, "Operator(Symbol('A'))")
assert str(inv) == "A**(-1)"
ascii_str = """\
-1\n\
A \
"""
ucode_str = u(
"""\
-1\n\
A \
"""
)
assert pretty(inv) == ascii_str
assert upretty(inv) == ucode_str
assert latex(inv) == r"A^{-1}"
sT(inv, "Pow(Operator(Symbol('A')), Integer(-1))")
assert str(d) == "DifferentialOperator(Derivative(f(x), x),f(x))"
ascii_str = """\
/d \\\n\
DifferentialOperator|--(f(x)),f(x)|\n\
\dx /\
"""
ucode_str = u(
"""\
⎛d ⎞\n\
DifferentialOperator⎜──(f(x)),f(x)⎟\n\
⎝dx ⎠\
"""
)
assert pretty(d) == ascii_str
assert upretty(d) == ucode_str
assert latex(d) == r"DifferentialOperator\left(\frac{d}{d x} f{\left (x \right )},f{\left (x \right )}\right)"
sT(d, "DifferentialOperator(Derivative(Function('f')(Symbol('x')), Symbol('x')),Function('f')(Symbol('x')))")
assert str(b) == "Operator(B,t,1/2)"
assert pretty(b) == "Operator(B,t,1/2)"
assert upretty(b) == u"Operator(B,t,1/2)"
assert latex(b) == r"Operator\left(B,t,\frac{1}{2}\right)"
sT(b, "Operator(Symbol('B'),Symbol('t'),Rational(1, 2))")
assert str(op) == "|psi><psi|"
assert pretty(op) == "|psi><psi|"
assert upretty(op) == u"❘ψ⟩⟨ψ❘"
assert latex(op) == r"{\left|\psi\right\rangle }{\left\langle \psi\right|}"
sT(op, "OuterProduct(Ket(Symbol('psi')),Bra(Symbol('psi')))")
def test_operator_inv():
A = Operator('A')
assert A*A.inv() == 1
assert A.inv()*A == 1
def test_operator():
a = Operator('A')
b = Operator('B', Symbol('t'), S(1) / 2)
inv = a.inv()
f = Function('f')
x = symbols('x')
d = DifferentialOperator(Derivative(f(x), x), f(x))
op = OuterProduct(Ket(), Bra())
assert str(a) == 'A'
assert pretty(a) == 'A'
assert upretty(a) == 'A'
assert latex(a) == 'A'
sT(a, "Operator(Symbol('A'))")
assert str(inv) == 'A**(-1)'
ascii_str = \
"""\
-1\n\
A \
"""
ucode_str = \
"""\
-1\n\
A \
"""
assert pretty(inv) == ascii_str
assert upretty(inv) == ucode_str
#FIXME ajgpitch 2019-09-22
# It's not clear to me why these extra brackets would be wanted / needed
#assert latex(inv) == r'\left(A\right)^{-1}'
# This renders okay
assert latex(inv) == r'A^{-1}'
sT(inv, "Pow(Operator(Symbol('A')), Integer(-1))")
assert str(d) == 'DifferentialOperator(Derivative(f(x), x),f(x))'
ascii_str = \
"""\
/d \\\n\
DifferentialOperator|--(f(x)),f(x)|\n\
\dx /\
"""
ucode_str = \
"""\
⎛d ⎞\n\
DifferentialOperator⎜──(f(x)),f(x)⎟\n\
⎝dx ⎠\
"""
assert pretty(d) == ascii_str
assert upretty(d) == ucode_str
assert latex(d) == \
r'DifferentialOperator\left(\frac{d}{d x} f{\left(x \right)},f{\left(x \right)}\right)'
#FIXME: ajgpitch 2019-09-22
# Not clear why this is failing
# `Tuple(Symbol('x'), Integer(1))` seems to enter into srepr(expr)
# for some reason.
sT(
d,
"DifferentialOperator(Derivative(Function('f')(Symbol('x')), Symbol('x')),Function('f')(Symbol('x')))"
)
assert str(b) == 'Operator(B,t,1/2)'
assert pretty(b) == 'Operator(B,t,1/2)'
assert upretty(b) == 'Operator(B,t,1/2)'
assert latex(b) == r'Operator\left(B,t,\frac{1}{2}\right)'
sT(b, "Operator(Symbol('B'),Symbol('t'),Rational(1, 2))")
assert str(op) == '|psi><psi|'
assert pretty(op) == '|psi><psi|'
assert upretty(op) == '❘ψ⟩⟨ψ❘'
assert latex(op) == r'{\left|\psi\right\rangle }{\left\langle \psi\right|}'
sT(op, "OuterProduct(Ket(Symbol('psi')),Bra(Symbol('psi')))")
