def test_tostring_c(self):
language = Language.C
x = as_symbol('x')
y = as_symbol('y')
z = as_symbol('z')
n = as_number(123)
assert Expr(Op.FACTORS, {x: 2}).tostring(language=language) == 'x * x'
assert Expr(Op.FACTORS, {
x + y: 2
}).tostring(language=language) == '(x + y) * (x + y)'
assert Expr(Op.FACTORS, {
x: 12
}).tostring(language=language) == 'pow(x, 12)'
assert as_apply(ArithOp.DIV, x,
y).tostring(language=language) == 'x / y'
assert as_apply(ArithOp.DIV, x,
x + y).tostring(language=language) == 'x / (x + y)'
assert as_apply(ArithOp.DIV, x - y, x +
y).tostring(language=language) == '(x - y) / (x + y)'
assert (x + (x - y) / (x + y) +
n).tostring(language=language) == '123 + x + (x - y) / (x + y)'
assert as_ternary(x, y, z).tostring(language=language) == '(x ? y : z)'
assert as_eq(x, y).tostring(language=language) == 'x == y'
assert as_ne(x, y).tostring(language=language) == 'x != y'
assert as_lt(x, y).tostring(language=language) == 'x < y'
assert as_le(x, y).tostring(language=language) == 'x <= y'
assert as_gt(x, y).tostring(language=language) == 'x > y'
assert as_ge(x, y).tostring(language=language) == 'x >= y'
def test_tostring_c(self):
language = Language.C
x = as_symbol("x")
y = as_symbol("y")
z = as_symbol("z")
n = as_number(123)
assert Expr(Op.FACTORS, {x: 2}).tostring(language=language) == "x * x"
assert (Expr(Op.FACTORS, {
x + y: 2
}).tostring(language=language) == "(x + y) * (x + y)")
assert Expr(Op.FACTORS, {
x: 12
}).tostring(language=language) == "pow(x, 12)"
assert as_apply(ArithOp.DIV, x,
y).tostring(language=language) == "x / y"
assert (as_apply(ArithOp.DIV, x,
x + y).tostring(language=language) == "x / (x + y)")
assert (as_apply(ArithOp.DIV, x - y, x +
y).tostring(language=language) == "(x - y) / (x + y)")
assert (x + (x - y) / (x + y) +
n).tostring(language=language) == "123 + x + (x - y) / (x + y)"
assert as_ternary(x, y, z).tostring(language=language) == "(x?y:z)"
assert as_eq(x, y).tostring(language=language) == "x == y"
assert as_ne(x, y).tostring(language=language) == "x != y"
assert as_lt(x, y).tostring(language=language) == "x < y"
assert as_le(x, y).tostring(language=language) == "x <= y"
assert as_gt(x, y).tostring(language=language) == "x > y"
assert as_ge(x, y).tostring(language=language) == "x >= y"
def test_substitute(self):
x = as_symbol('x')
y = as_symbol('y')
z = as_symbol('z')
a = as_array((x, y))
assert x.substitute({x: y}) == y
assert (x + y).substitute({x: z}) == y + z
assert (x * y).substitute({x: z}) == y * z
assert (x**4).substitute({x: z}) == z**4
assert (x / y).substitute({x: z}) == z / y
assert x.substitute({x: y + z}) == y + z
assert a.substitute({x: y + z}) == as_array((y + z, y))
assert as_ternary(x, y,
z).substitute({x: y + z}) == as_ternary(y + z, y, z)
assert as_eq(x, y).substitute({x: y + z}) == as_eq(y + z, y)
def test_tostring_fortran(self):
x = as_symbol('x')
y = as_symbol('y')
z = as_symbol('z')
n = as_number(123)
m = as_number(456)
a = as_array((n, m))
c = as_complex(n, m)
assert str(x) == 'x'
assert str(n) == '123'
assert str(a) == '[123, 456]'
assert str(c) == '(123, 456)'
assert str(Expr(Op.TERMS, {x: 1})) == 'x'
assert str(Expr(Op.TERMS, {x: 2})) == '2 * x'
assert str(Expr(Op.TERMS, {x: -1})) == '-x'
assert str(Expr(Op.TERMS, {x: -2})) == '-2 * x'
assert str(Expr(Op.TERMS, {x: 1, y: 1})) == 'x + y'
assert str(Expr(Op.TERMS, {x: -1, y: -1})) == '-x - y'
assert str(Expr(Op.TERMS, {x: 2, y: 3})) == '2 * x + 3 * y'
assert str(Expr(Op.TERMS, {x: -2, y: 3})) == '-2 * x + 3 * y'
assert str(Expr(Op.TERMS, {x: 2, y: -3})) == '2 * x - 3 * y'
assert str(Expr(Op.FACTORS, {x: 1})) == 'x'
assert str(Expr(Op.FACTORS, {x: 2})) == 'x ** 2'
assert str(Expr(Op.FACTORS, {x: -1})) == 'x ** -1'
assert str(Expr(Op.FACTORS, {x: -2})) == 'x ** -2'
assert str(Expr(Op.FACTORS, {x: 1, y: 1})) == 'x * y'
assert str(Expr(Op.FACTORS, {x: 2, y: 3})) == 'x ** 2 * y ** 3'
v = Expr(Op.FACTORS, {x: 2, Expr(Op.TERMS, {x: 1, y: 1}): 3})
assert str(v) == 'x ** 2 * (x + y) ** 3', str(v)
v = Expr(Op.FACTORS, {x: 2, Expr(Op.FACTORS, {x: 1, y: 1}): 3})
assert str(v) == 'x ** 2 * (x * y) ** 3', str(v)
assert str(Expr(Op.APPLY, ('f', (), {}))) == 'f()'
assert str(Expr(Op.APPLY, ('f', (x, ), {}))) == 'f(x)'
assert str(Expr(Op.APPLY, ('f', (x, y), {}))) == 'f(x, y)'
assert str(Expr(Op.INDEXING, ('f', x))) == 'f[x]'
assert str(as_ternary(x, y, z)) == 'merge(y, z, x)'
assert str(as_eq(x, y)) == 'x .eq. y'
assert str(as_ne(x, y)) == 'x .ne. y'
assert str(as_lt(x, y)) == 'x .lt. y'
assert str(as_le(x, y)) == 'x .le. y'
assert str(as_gt(x, y)) == 'x .gt. y'
assert str(as_ge(x, y)) == 'x .ge. y'
def test_tostring_fortran(self):
x = as_symbol("x")
y = as_symbol("y")
z = as_symbol("z")
n = as_number(123)
m = as_number(456)
a = as_array((n, m))
c = as_complex(n, m)
assert str(x) == "x"
assert str(n) == "123"
assert str(a) == "[123, 456]"
assert str(c) == "(123, 456)"
assert str(Expr(Op.TERMS, {x: 1})) == "x"
assert str(Expr(Op.TERMS, {x: 2})) == "2 * x"
assert str(Expr(Op.TERMS, {x: -1})) == "-x"
assert str(Expr(Op.TERMS, {x: -2})) == "-2 * x"
assert str(Expr(Op.TERMS, {x: 1, y: 1})) == "x + y"
assert str(Expr(Op.TERMS, {x: -1, y: -1})) == "-x - y"
assert str(Expr(Op.TERMS, {x: 2, y: 3})) == "2 * x + 3 * y"
assert str(Expr(Op.TERMS, {x: -2, y: 3})) == "-2 * x + 3 * y"
assert str(Expr(Op.TERMS, {x: 2, y: -3})) == "2 * x - 3 * y"
assert str(Expr(Op.FACTORS, {x: 1})) == "x"
assert str(Expr(Op.FACTORS, {x: 2})) == "x ** 2"
assert str(Expr(Op.FACTORS, {x: -1})) == "x ** -1"
assert str(Expr(Op.FACTORS, {x: -2})) == "x ** -2"
assert str(Expr(Op.FACTORS, {x: 1, y: 1})) == "x * y"
assert str(Expr(Op.FACTORS, {x: 2, y: 3})) == "x ** 2 * y ** 3"
v = Expr(Op.FACTORS, {x: 2, Expr(Op.TERMS, {x: 1, y: 1}): 3})
assert str(v) == "x ** 2 * (x + y) ** 3", str(v)
v = Expr(Op.FACTORS, {x: 2, Expr(Op.FACTORS, {x: 1, y: 1}): 3})
assert str(v) == "x ** 2 * (x * y) ** 3", str(v)
assert str(Expr(Op.APPLY, ("f", (), {}))) == "f()"
assert str(Expr(Op.APPLY, ("f", (x, ), {}))) == "f(x)"
assert str(Expr(Op.APPLY, ("f", (x, y), {}))) == "f(x, y)"
assert str(Expr(Op.INDEXING, ("f", x))) == "f[x]"
assert str(as_ternary(x, y, z)) == "merge(y, z, x)"
assert str(as_eq(x, y)) == "x .eq. y"
assert str(as_ne(x, y)) == "x .ne. y"
assert str(as_lt(x, y)) == "x .lt. y"
assert str(as_le(x, y)) == "x .le. y"
assert str(as_gt(x, y)) == "x .gt. y"
assert str(as_ge(x, y)) == "x .ge. y"
def test_fromstring(self):
x = as_symbol('x')
y = as_symbol('y')
z = as_symbol('z')
f = as_symbol('f')
s = as_string('"ABC"')
t = as_string('"123"')
a = as_array((x, y))
assert fromstring('x') == x
assert fromstring('+ x') == x
assert fromstring('- x') == -x
assert fromstring('x + y') == x + y
assert fromstring('x + 1') == x + 1
assert fromstring('x * y') == x * y
assert fromstring('x * 2') == x * 2
assert fromstring('x / y') == x / y
assert fromstring('x ** 2', language=Language.Python) == x**2
assert fromstring('x ** 2 ** 3', language=Language.Python) == x**2**3
assert fromstring('(x + y) * z') == (x + y) * z
assert fromstring('f(x)') == f(x)
assert fromstring('f(x,y)') == f(x, y)
assert fromstring('f[x]') == f[x]
assert fromstring('f[x][y]') == f[x][y]
assert fromstring('"ABC"') == s
assert normalize(
fromstring('"ABC" // "123" ', language=Language.Fortran)) == s // t
assert fromstring('f("ABC")') == f(s)
assert fromstring('MYSTRKIND_"ABC"') == as_string('"ABC"', 'MYSTRKIND')
assert fromstring('(/x, y/)') == a, fromstring('(/x, y/)')
assert fromstring('f((/x, y/))') == f(a)
assert fromstring('(/(x+y)*z/)') == as_array(((x + y) * z, ))
assert fromstring('123') == as_number(123)
assert fromstring('123_2') == as_number(123, 2)
assert fromstring('123_myintkind') == as_number(123, 'myintkind')
assert fromstring('123.0') == as_number(123.0, 4)
assert fromstring('123.0_4') == as_number(123.0, 4)
assert fromstring('123.0_8') == as_number(123.0, 8)
assert fromstring('123.0e0') == as_number(123.0, 4)
assert fromstring('123.0d0') == as_number(123.0, 8)
assert fromstring('123d0') == as_number(123.0, 8)
assert fromstring('123e-0') == as_number(123.0, 4)
assert fromstring('123d+0') == as_number(123.0, 8)
assert fromstring('123.0_myrealkind') == as_number(123.0, 'myrealkind')
assert fromstring('3E4') == as_number(30000.0, 4)
assert fromstring('(1, 2)') == as_complex(1, 2)
assert fromstring('(1e2, PI)') == as_complex(as_number(100.0),
as_symbol('PI'))
assert fromstring('[1, 2]') == as_array((as_number(1), as_number(2)))
assert fromstring('POINT(x, y=1)') == as_apply(as_symbol('POINT'),
x,
y=as_number(1))
assert (fromstring('PERSON(name="John", age=50, shape=(/34, 23/))') ==
as_apply(as_symbol('PERSON'),
name=as_string('"John"'),
age=as_number(50),
shape=as_array((as_number(34), as_number(23)))))
assert fromstring('x?y:z') == as_ternary(x, y, z)
assert fromstring('*x') == as_deref(x)
assert fromstring('**x') == as_deref(as_deref(x))
assert fromstring('&x') == as_ref(x)
assert fromstring('(*x) * (*y)') == as_deref(x) * as_deref(y)
assert fromstring('(*x) * *y') == as_deref(x) * as_deref(y)
assert fromstring('*x * *y') == as_deref(x) * as_deref(y)
assert fromstring('*x**y') == as_deref(x) * as_deref(y)
assert fromstring('x == y') == as_eq(x, y)
assert fromstring('x != y') == as_ne(x, y)
assert fromstring('x < y') == as_lt(x, y)
assert fromstring('x > y') == as_gt(x, y)
assert fromstring('x <= y') == as_le(x, y)
assert fromstring('x >= y') == as_ge(x, y)
assert fromstring('x .eq. y', language=Language.Fortran) == as_eq(x, y)
assert fromstring('x .ne. y', language=Language.Fortran) == as_ne(x, y)
assert fromstring('x .lt. y', language=Language.Fortran) == as_lt(x, y)
assert fromstring('x .gt. y', language=Language.Fortran) == as_gt(x, y)
assert fromstring('x .le. y', language=Language.Fortran) == as_le(x, y)
assert fromstring('x .ge. y', language=Language.Fortran) == as_ge(x, y)
def test_sanity(self):
x = as_symbol('x')
y = as_symbol('y')
z = as_symbol('z')
assert x.op == Op.SYMBOL
assert repr(x) == "Expr(Op.SYMBOL, 'x')"
assert x == x
assert x != y
assert hash(x) is not None
n = as_number(123)
m = as_number(456)
assert n.op == Op.INTEGER
assert repr(n) == "Expr(Op.INTEGER, (123, 4))"
assert n == n
assert n != m
assert hash(n) is not None
fn = as_number(12.3)
fm = as_number(45.6)
assert fn.op == Op.REAL
assert repr(fn) == "Expr(Op.REAL, (12.3, 4))"
assert fn == fn
assert fn != fm
assert hash(fn) is not None
c = as_complex(1, 2)
c2 = as_complex(3, 4)
assert c.op == Op.COMPLEX
assert repr(c) == ("Expr(Op.COMPLEX, (Expr(Op.INTEGER, (1, 4)),"
" Expr(Op.INTEGER, (2, 4))))")
assert c == c
assert c != c2
assert hash(c) is not None
s = as_string("'123'")
s2 = as_string('"ABC"')
assert s.op == Op.STRING
assert repr(s) == "Expr(Op.STRING, (\"'123'\", 1))", repr(s)
assert s == s
assert s != s2
a = as_array((n, m))
b = as_array((n, ))
assert a.op == Op.ARRAY
assert repr(a) == ("Expr(Op.ARRAY, (Expr(Op.INTEGER, (123, 4)),"
" Expr(Op.INTEGER, (456, 4))))")
assert a == a
assert a != b
t = as_terms(x)
u = as_terms(y)
assert t.op == Op.TERMS
assert repr(t) == "Expr(Op.TERMS, {Expr(Op.SYMBOL, 'x'): 1})"
assert t == t
assert t != u
assert hash(t) is not None
v = as_factors(x)
w = as_factors(y)
assert v.op == Op.FACTORS
assert repr(v) == "Expr(Op.FACTORS, {Expr(Op.SYMBOL, 'x'): 1})"
assert v == v
assert w != v
assert hash(v) is not None
t = as_ternary(x, y, z)
u = as_ternary(x, z, y)
assert t.op == Op.TERNARY
assert t == t
assert t != u
assert hash(t) is not None
e = as_eq(x, y)
f = as_lt(x, y)
assert e.op == Op.RELATIONAL
assert e == e
assert e != f
assert hash(e) is not None
def test_fromstring(self):
x = as_symbol("x")
y = as_symbol("y")
z = as_symbol("z")
f = as_symbol("f")
s = as_string('"ABC"')
t = as_string('"123"')
a = as_array((x, y))
assert fromstring("x") == x
assert fromstring("+ x") == x
assert fromstring("- x") == -x
assert fromstring("x + y") == x + y
assert fromstring("x + 1") == x + 1
assert fromstring("x * y") == x * y
assert fromstring("x * 2") == x * 2
assert fromstring("x / y") == x / y
assert fromstring("x ** 2", language=Language.Python) == x**2
assert fromstring("x ** 2 ** 3", language=Language.Python) == x**2**3
assert fromstring("(x + y) * z") == (x + y) * z
assert fromstring("f(x)") == f(x)
assert fromstring("f(x,y)") == f(x, y)
assert fromstring("f[x]") == f[x]
assert fromstring("f[x][y]") == f[x][y]
assert fromstring('"ABC"') == s
assert (normalize(
fromstring('"ABC" // "123" ',
language=Language.Fortran)) == s // t)
assert fromstring('f("ABC")') == f(s)
assert fromstring('MYSTRKIND_"ABC"') == as_string('"ABC"', "MYSTRKIND")
assert fromstring("(/x, y/)") == a, fromstring("(/x, y/)")
assert fromstring("f((/x, y/))") == f(a)
assert fromstring("(/(x+y)*z/)") == as_array(((x + y) * z, ))
assert fromstring("123") == as_number(123)
assert fromstring("123_2") == as_number(123, 2)
assert fromstring("123_myintkind") == as_number(123, "myintkind")
assert fromstring("123.0") == as_number(123.0, 4)
assert fromstring("123.0_4") == as_number(123.0, 4)
assert fromstring("123.0_8") == as_number(123.0, 8)
assert fromstring("123.0e0") == as_number(123.0, 4)
assert fromstring("123.0d0") == as_number(123.0, 8)
assert fromstring("123d0") == as_number(123.0, 8)
assert fromstring("123e-0") == as_number(123.0, 4)
assert fromstring("123d+0") == as_number(123.0, 8)
assert fromstring("123.0_myrealkind") == as_number(123.0, "myrealkind")
assert fromstring("3E4") == as_number(30000.0, 4)
assert fromstring("(1, 2)") == as_complex(1, 2)
assert fromstring("(1e2, PI)") == as_complex(as_number(100.0),
as_symbol("PI"))
assert fromstring("[1, 2]") == as_array((as_number(1), as_number(2)))
assert fromstring("POINT(x, y=1)") == as_apply(as_symbol("POINT"),
x,
y=as_number(1))
assert fromstring(
'PERSON(name="John", age=50, shape=(/34, 23/))') == as_apply(
as_symbol("PERSON"),
name=as_string('"John"'),
age=as_number(50),
shape=as_array((as_number(34), as_number(23))),
)
assert fromstring("x?y:z") == as_ternary(x, y, z)
assert fromstring("*x") == as_deref(x)
assert fromstring("**x") == as_deref(as_deref(x))
assert fromstring("&x") == as_ref(x)
assert fromstring("(*x) * (*y)") == as_deref(x) * as_deref(y)
assert fromstring("(*x) * *y") == as_deref(x) * as_deref(y)
assert fromstring("*x * *y") == as_deref(x) * as_deref(y)
assert fromstring("*x**y") == as_deref(x) * as_deref(y)
assert fromstring("x == y") == as_eq(x, y)
assert fromstring("x != y") == as_ne(x, y)
assert fromstring("x < y") == as_lt(x, y)
assert fromstring("x > y") == as_gt(x, y)
assert fromstring("x <= y") == as_le(x, y)
assert fromstring("x >= y") == as_ge(x, y)
assert fromstring("x .eq. y", language=Language.Fortran) == as_eq(x, y)
assert fromstring("x .ne. y", language=Language.Fortran) == as_ne(x, y)
assert fromstring("x .lt. y", language=Language.Fortran) == as_lt(x, y)
assert fromstring("x .gt. y", language=Language.Fortran) == as_gt(x, y)
assert fromstring("x .le. y", language=Language.Fortran) == as_le(x, y)
assert fromstring("x .ge. y", language=Language.Fortran) == as_ge(x, y)