def test_case():
ob = FCodePrinter()
x, x_, x__, y, X, X_, Y = symbols('x,x_,x__,y,X,X_,Y')
assert fcode(exp(x_) + sin(x*y) + cos(X*Y)) == \
' exp(x_) + sin(x*y) + cos(X__*Y_)'
assert fcode(exp(x__) + 2*x*Y*X_**Rational(7, 2)) == \
' 2*X_**(7.0d0/2.0d0)*Y*x + exp(x__)'
assert fcode(exp(x_) + sin(x*y) + cos(X*Y), name_mangling=False) == \
' exp(x_) + sin(x*y) + cos(X*Y)'
assert fcode(x - cos(X), name_mangling=False) == ' x - cos(X)'
assert ob.doprint(X * sin(x) + x_,
assign_to='me') == ' me = X*sin(x_) + x__'
assert ob.doprint(X * sin(x), assign_to='mu') == ' mu = X*sin(x_)'
assert ob.doprint(x_, assign_to='ad') == ' ad = x__'
n, m = symbols('n,m', integer=True)
A = IndexedBase('A')
x = IndexedBase('x')
y = IndexedBase('y')
i = Idx('i', m)
I = Idx('I', n)
assert fcode(
A[i, I] * x[I], assign_to=y[i],
source_format='free') == ("do i = 1, m\n"
" y(i) = 0\n"
"end do\n"
"do i = 1, m\n"
" do I_ = 1, n\n"
" y(i) = A(i, I_)*x(I_) + y(i)\n"
" end do\n"
"end do")
def test_not_fortran():
x = symbols('x')
g = Function('g')
gamma_f = fcode(gamma(x))
assert gamma_f == "C Not supported in Fortran:\nC gamma\n gamma(x)"
assert fcode(Integral(sin(x))) == "C Not supported in Fortran:\nC Integral\n Integral(sin(x), x)"
assert fcode(g(x)) == "C Not supported in Fortran:\nC g\n g(x)"
def test_Matrix_printing():
x, y, z = symbols('x,y,z')
# Test returning a Matrix
mat = Matrix([x * y, Piecewise((2 + x, y > 0), (y, True)), sin(z)])
A = MatrixSymbol('A', 3, 1)
assert fcode(mat, A) == (" A(1, 1) = x*y\n"
" if (y > 0) then\n"
" A(2, 1) = x + 2\n"
" else\n"
" A(2, 1) = y\n"
" end if\n"
" A(3, 1) = sin(z)")
# Test using MatrixElements in expressions
expr = Piecewise((2 * A[2, 0], x > 0),
(A[2, 0], True)) + sin(A[1, 0]) + A[0, 0]
assert fcode(expr, standard=95) == (
" merge(2*A(3, 1), A(3, 1), x > 0) + sin(A(2, 1)) + A(1, 1)")
# Test using MatrixElements in a Matrix
q = MatrixSymbol('q', 5, 1)
M = MatrixSymbol('M', 3, 3)
m = Matrix([[sin(q[1, 0]), 0, cos(q[2, 0])],
[q[1, 0] + q[2, 0], q[3, 0], 5],
[2 * q[4, 0] / q[1, 0],
sqrt(q[0, 0]) + 4, 0]])
assert fcode(m, M) == (" M(1, 1) = sin(q(2, 1))\n"
" M(2, 1) = q(2, 1) + q(3, 1)\n"
" M(3, 1) = 2*q(5, 1)/q(2, 1)\n"
" M(1, 2) = 0\n"
" M(2, 2) = q(4, 1)\n"
" M(3, 2) = sqrt(q(1, 1)) + 4\n"
" M(1, 3) = cos(q(3, 1))\n"
" M(2, 3) = 5\n"
" M(3, 3) = 0")
def test_fcode_sign(): #issue 12267
x=symbols('x')
y=symbols('y', integer=True)
z=symbols('z', complex=True)
assert fcode(sign(x), standard=95, source_format='free') == "merge(0d0, dsign(1d0, x), x == 0d0)"
assert fcode(sign(y), standard=95, source_format='free') == "merge(0, isign(1, y), y == 0)"
assert fcode(sign(z), standard=95, source_format='free') == "merge(cmplx(0d0, 0d0), z/abs(z), abs(z) == 0d0)"
raises(NotImplementedError, lambda: fcode(sign(x)))
def test_line_wrapping():
x, y = symbols('x,y')
assert fcode(((x + y)**10).expand(), assign_to="var") == (
" var = x**10 + 10*x**9*y + 45*x**8*y**2 + 120*x**7*y**3 + 210*x**6*\n"
" @ y**4 + 252*x**5*y**5 + 210*x**4*y**6 + 120*x**3*y**7 + 45*x**2*y\n"
" @ **8 + 10*x*y**9 + y**10")
e = [x**i for i in range(11)]
assert fcode(Add(*e)) == (
" x**10 + x**9 + x**8 + x**7 + x**6 + x**5 + x**4 + x**3 + x**2 + x\n"
" @ + 1")
def test_fcode_precedence():
x, y = symbols("x y")
assert fcode(And(x < y, y < x + 1), source_format="free") == \
"x < y .and. y < x + 1"
assert fcode(Or(x < y, y < x + 1), source_format="free") == \
"x < y .or. y < x + 1"
assert fcode(Xor(x < y, y < x + 1, evaluate=False),
source_format="free") == "x < y .neqv. y < x + 1"
assert fcode(Equivalent(x < y, y < x + 1), source_format="free") == \
"x < y .eqv. y < x + 1"
def test_user_functions():
x = symbols('x')
assert fcode(sin(x), user_functions={"sin": "zsin"}) == " zsin(x)"
x = symbols('x')
assert fcode(gamma(x), user_functions={"gamma":
"mygamma"}) == " mygamma(x)"
g = Function('g')
assert fcode(g(x), user_functions={"g": "great"}) == " great(x)"
n = symbols('n', integer=True)
assert fcode(factorial(n), user_functions={"factorial":
"fct"}) == " fct(n)"
def test_MatrixElement_printing():
# test cases for issue #11821
A = MatrixSymbol("A", 1, 3)
B = MatrixSymbol("B", 1, 3)
C = MatrixSymbol("C", 1, 3)
assert (fcode(A[0, 0]) == " A(1, 1)")
assert (fcode(3 * A[0, 0]) == " 3*A(1, 1)")
F = C[0, 0].subs(C, A - B)
assert (fcode(F) == " (A - B)(1, 1)")
def test_UnevaluatedExpr():
p, q, r = symbols("p q r", real=True)
q_r = UnevaluatedExpr(q + r)
expr = abs(exp(p + q_r))
assert fcode(expr, source_format="free") == "exp(p + (q + r))"
x, y, z = symbols("x y z")
y_z = UnevaluatedExpr(y + z)
expr2 = abs(exp(x + y_z))
assert fcode(expr2, human=False)[2].lstrip() == "exp(re(x) + re(y + z))"
assert fcode(expr2, user_functions={
"re": "realpart"
}).lstrip() == "exp(realpart(x) + realpart(y + z))"
def test_inline_function():
x = symbols('x')
g = implemented_function('g', Lambda(x, 2 * x))
assert fcode(g(x)) == " 2*x"
g = implemented_function('g', Lambda(x, 2 * pi / x))
assert fcode(g(x)) == (" parameter (pi = %sd0)\n"
" 2*pi/x") % pi.evalf(17)
A = IndexedBase('A')
i = Idx('i', symbols('n', integer=True))
g = implemented_function('g', Lambda(x, x * (1 + x) * (2 + x)))
assert fcode(
g(A[i]),
assign_to=A[i]) == (" do i = 1, n\n"
" A(i) = (A(i) + 1)*(A(i) + 2)*A(i)\n"
" end do")
def test_fcode_complex():
assert fcode(I) == " cmplx(0,1)"
x = symbols('x')
assert fcode(4 * I) == " cmplx(0,4)"
assert fcode(3 + 4 * I) == " cmplx(3,4)"
assert fcode(3 + 4 * I + x) == " cmplx(3,4) + x"
assert fcode(I * x) == " cmplx(0,1)*x"
assert fcode(3 + 4 * I - x) == " cmplx(3,4) - x"
x = symbols('x', imaginary=True)
assert fcode(5 * x) == " 5*x"
assert fcode(I * x) == " cmplx(0,1)*x"
assert fcode(3 + x) == " x + 3"
def test_While():
x = symbols('x')
assert fcode(While(abs(x) > 1, [aug_assign(x, '-', 1)]), source_format='free') == (
'do while (abs(x) > 1)\n'
' x = x - 1\n'
'end do'
)
def test_loops():
n, m = symbols('n,m', integer=True)
A = IndexedBase('A')
x = IndexedBase('x')
y = IndexedBase('y')
i = Idx('i', m)
j = Idx('j', n)
expected = ('do i = 1, m\n'
' y(i) = 0\n'
'end do\n'
'do i = 1, m\n'
' do j = 1, n\n'
' y(i) = %(rhs)s\n'
' end do\n'
'end do')
code = fcode(A[i, j] * x[j], assign_to=y[i], source_format='free')
assert (code == expected % {
'rhs': 'y(i) + A(i, j)*x(j)'
} or code == expected % {
'rhs': 'y(i) + x(j)*A(i, j)'
} or code == expected % {
'rhs': 'x(j)*A(i, j) + y(i)'
} or code == expected % {
'rhs': 'A(i, j)*x(j) + y(i)'
})
def test_printmethod():
x = symbols('x')
class nint(Function):
def _fcode(self, printer):
return "nint(%s)" % printer._print(self.args[0])
assert fcode(nint(x)) == " nint(x)"
def test_fcode_For():
x, y = symbols('x y')
f = For(x, Range(0, 10, 2), [Assignment(y, x * y)])
sol = fcode(f)
assert sol == (" do x = 0, 10, 2\n"
" y = x*y\n"
" end do")
def test_free_form_continuation_line():
x, y = symbols('x,y')
result = fcode(((cos(x) + sin(y))**(7)).expand(), source_format='free')
expected = (
'sin(y)**7 + 7*sin(y)**6*cos(x) + 21*sin(y)**5*cos(x)**2 + 35*sin(y)**4* &\n'
' cos(x)**3 + 35*sin(y)**3*cos(x)**4 + 21*sin(y)**2*cos(x)**5 + 7* &\n'
' sin(y)*cos(x)**6 + cos(x)**7')
assert result == expected
def test_FunctionPrototype_print():
x = symbols('x')
n = symbols('n', integer=True)
vx = Variable(x, type=real)
vn = Variable(n, type=integer)
fp1 = FunctionPrototype(real, 'power', [vx, vn])
# Should be changed to proper test once multi-line generation is working
# see https://github.com/sympy/sympy/issues/15824
raises(NotImplementedError, lambda: fcode(fp1))
def test_fcode_Indexed_without_looking_for_contraction():
len_y = 5
y = IndexedBase('y', shape=(len_y, ))
x = IndexedBase('x', shape=(len_y, ))
Dy = IndexedBase('Dy', shape=(len_y - 1, ))
i = Idx('i', len_y - 1)
e = Eq(Dy[i], (y[i + 1] - y[i]) / (x[i + 1] - x[i]))
code0 = fcode(e.rhs, assign_to=e.lhs, contract=False)
assert code0.endswith('Dy(i) = (y(i + 1) - y(i))/(x(i + 1) - x(i))')
def test_FunctionDefinition_print():
x = symbols('x')
n = symbols('n', integer=True)
vx = Variable(x, type=real)
vn = Variable(n, type=integer)
body = [Assignment(x, x**n), Return(x)]
fd1 = FunctionDefinition(real, 'power', [vx, vn], body)
# Should be changed to proper test once multi-line generation is working
# see https://github.com/sympy/sympy/issues/15824
raises(NotImplementedError, lambda: fcode(fd1))
def test_fcode_functions():
x, y = symbols('x,y')
assert fcode(sin(x)**cos(y)) == " sin(x)**cos(y)"
raises(NotImplementedError, lambda: fcode(Mod(x, y), standard=66))
raises(NotImplementedError, lambda: fcode(x % y, standard=66))
raises(NotImplementedError, lambda: fcode(Mod(x, y), standard=77))
raises(NotImplementedError, lambda: fcode(x % y, standard=77))
for standard in [90, 95, 2003, 2008]:
assert fcode(Mod(x, y), standard=standard) == " modulo(x, y)"
assert fcode(x % y, standard=standard) == " modulo(x, y)"
def test_dummy_loops():
i, m = symbols('i m', integer=True, cls=Dummy)
x = IndexedBase('x')
y = IndexedBase('y')
i = Idx(i, m)
expected = (
'do i_%(icount)i = 1, m_%(mcount)i\n'
' y(i_%(icount)i) = x(i_%(icount)i)\n'
'end do'
) % {'icount': i.label.dummy_index, 'mcount': m.dummy_index}
code = fcode(x[i], assign_to=y[i], source_format='free')
assert code == expected
def test_fcode_functions_with_integers():
x = symbols('x')
log10_17 = log(10).evalf(17)
loglog10_17 = '0.8340324452479558d0'
assert fcode(x * log(10)) == " x*%sd0" % log10_17
assert fcode(x * log(10)) == " x*%sd0" % log10_17
assert fcode(x * log(S(10))) == " x*%sd0" % log10_17
assert fcode(log(S(10))) == " %sd0" % log10_17
assert fcode(exp(10)) == " %sd0" % exp(10).evalf(17)
assert fcode(x * log(log(10))) == " x*%s" % loglog10_17
assert fcode(x * log(log(S(10)))) == " x*%s" % loglog10_17
def test_fcode_Relational():
x, y = symbols("x y")
assert fcode(Relational(x, y, "=="), source_format="free") == "x == y"
assert fcode(Relational(x, y, "!="), source_format="free") == "x /= y"
assert fcode(Relational(x, y, ">="), source_format="free") == "x >= y"
assert fcode(Relational(x, y, "<="), source_format="free") == "x <= y"
assert fcode(Relational(x, y, ">"), source_format="free") == "x > y"
assert fcode(Relational(x, y, "<"), source_format="free") == "x < y"
def test_fcode_Rational():
x = symbols('x')
assert fcode(Rational(3, 7)) == " 3.0d0/7.0d0"
assert fcode(Rational(18, 9)) == " 2"
assert fcode(Rational(3, -7)) == " -3.0d0/7.0d0"
assert fcode(Rational(-3, -7)) == " 3.0d0/7.0d0"
assert fcode(x + Rational(3, 7)) == " x + 3.0d0/7.0d0"
assert fcode(Rational(3, 7) * x) == " (3.0d0/7.0d0)*x"
def test_fcode_Piecewise():
x = symbols('x')
expr = Piecewise((x, x < 1), (x**2, True))
# Check that inline conditional (merge) fails if standard isn't 95+
raises(NotImplementedError, lambda: fcode(expr))
code = fcode(expr, standard=95)
expected = " merge(x, x**2, x < 1)"
assert code == expected
assert fcode(Piecewise((x, x < 1), (x**2, True)), assign_to="var") == (
" if (x < 1) then\n"
" var = x\n"
" else\n"
" var = x**2\n"
" end if"
)
a = cos(x)/x
b = sin(x)/x
for i in range(10):
a = diff(a, x)
b = diff(b, x)
expected = (
" if (x < 0) then\n"
" weird_name = -cos(x)/x + 10*sin(x)/x**2 + 90*cos(x)/x**3 - 720*\n"
" @ sin(x)/x**4 - 5040*cos(x)/x**5 + 30240*sin(x)/x**6 + 151200*cos(x\n"
" @ )/x**7 - 604800*sin(x)/x**8 - 1814400*cos(x)/x**9 + 3628800*sin(x\n"
" @ )/x**10 + 3628800*cos(x)/x**11\n"
" else\n"
" weird_name = -sin(x)/x - 10*cos(x)/x**2 + 90*sin(x)/x**3 + 720*\n"
" @ cos(x)/x**4 - 5040*sin(x)/x**5 - 30240*cos(x)/x**6 + 151200*sin(x\n"
" @ )/x**7 + 604800*cos(x)/x**8 - 1814400*sin(x)/x**9 - 3628800*cos(x\n"
" @ )/x**10 + 3628800*sin(x)/x**11\n"
" end if"
)
code = fcode(Piecewise((a, x < 0), (b, True)), assign_to="weird_name")
assert code == expected
code = fcode(Piecewise((x, x < 1), (x**2, x > 1), (sin(x), True)), standard=95)
expected = " merge(x, merge(x**2, sin(x), x > 1), x < 1)"
assert code == expected
# Check that Piecewise without a True (default) condition error
expr = Piecewise((x, x < 1), (x**2, x > 1), (sin(x), x > 0))
raises(ValueError, lambda: fcode(expr))
def test_aug_assign():
x = symbols('x')
assert fcode(aug_assign(x, '+', 1), source_format='free') == 'x = x + 1'
def check(expr, ref, **kwargs):
assert fcode(expr, standard=95, source_format='free', **kwargs) == ref
def test_fcode_Float():
assert fcode(Float(42.0)) == " 42.0000000000000d0"
assert fcode(Float(-1e20)) == " -1.00000000000000d+20"
def test_free_form_code_line():
x, y = symbols('x,y')
assert fcode(cos(x) + sin(y), source_format='free') == "sin(y) + cos(x)"
def test_fcode_Integer():
assert fcode(Integer(67)) == " 67"
assert fcode(Integer(-1)) == " -1"