def test_ccode_sign():
expr = sign(x) * y
assert ccode(expr) == 'y*(((x) > 0) - ((x) < 0))'
assert ccode(expr, 'z') == 'z = y*(((x) > 0) - ((x) < 0));'
assert ccode(sign(2 * x + x**2) * x + x**2) == \
'pow(x, 2) + x*(((pow(x, 2) + 2*x) > 0) - ((pow(x, 2) + 2*x) < 0))'
expr = sign(cos(x))
assert ccode(expr) == '(((cos(x)) > 0) - ((cos(x)) < 0))'
def test_ccode_sign():
expr = sign(x) * y
assert ccode(expr) == 'y*(((x) > 0) - ((x) < 0))'
assert ccode(expr, 'z') == 'z = y*(((x) > 0) - ((x) < 0));'
assert ccode(sign(2 * x + x**2) * x + x**2) == \
'pow(x, 2) + x*(((pow(x, 2) + 2*x) > 0) - ((pow(x, 2) + 2*x) < 0))'
expr = sign(cos(x))
assert ccode(expr) == '(((cos(x)) > 0) - ((cos(x)) < 0))'
def _calc_limit_1(F, a, b):
"""
replace d with a, using subs if possible, otherwise limit
where sign of b is considered
"""
wok = F.subs(d, a)
if wok is S.NaN or wok.is_finite is False and a.is_finite:
return limit(sign(b) * F, d, a)
return wok
def test_Function():
assert mcode(f(x, y, z)) == "f[x, y, z]"
assert mcode(sin(x)**cos(x)) == "Sin[x]^Cos[x]"
assert mcode(sign(x)) == "Sign[x]"
assert mcode(atanh(x), user_functions={"atanh": "ArcTanh"}) == "ArcTanh[x]"
assert (mcode(meijerg(((1, 1), (3, 4)), ((1, ), ()),
x)) == "MeijerG[{{1, 1}, {3, 4}}, {{1}, {}}, x]")
assert (mcode(hyper((1, 2, 3), (3, 4),
x)) == "HypergeometricPFQ[{1, 2, 3}, {3, 4}, x]")
assert mcode(Min(x, y)) == "Min[x, y]"
assert mcode(Max(x, y)) == "Max[x, y]"
assert mcode(Max(x, 2)) == "Max[2, x]" # issue sympy/sympy#15344
assert mcode(binomial(x, y)) == "Binomial[x, y]"
assert mcode(log(x)) == "Log[x]"
assert mcode(tan(x)) == "Tan[x]"
assert mcode(cot(x)) == "Cot[x]"
assert mcode(asin(x)) == "ArcSin[x]"
assert mcode(acos(x)) == "ArcCos[x]"
assert mcode(atan(x)) == "ArcTan[x]"
assert mcode(sinh(x)) == "Sinh[x]"
assert mcode(cosh(x)) == "Cosh[x]"
assert mcode(tanh(x)) == "Tanh[x]"
assert mcode(coth(x)) == "Coth[x]"
assert mcode(sech(x)) == "Sech[x]"
assert mcode(csch(x)) == "Csch[x]"
assert mcode(erfc(x)) == "Erfc[x]"
assert mcode(conjugate(x)) == "Conjugate[x]"
assert mcode(re(x)) == "Re[x]"
assert mcode(im(x)) == "Im[x]"
assert mcode(polygamma(x, y)) == "PolyGamma[x, y]"
class myfunc1(Function):
@classmethod
def eval(cls, x):
pass
class myfunc2(Function):
@classmethod
def eval(cls, x, y):
pass
pytest.raises(
ValueError,
lambda: mcode(myfunc1(x), user_functions={"myfunc1": ["Myfunc1"]}))
assert mcode(myfunc1(x), user_functions={"myfunc1":
"Myfunc1"}) == "Myfunc1[x]"
assert mcode(myfunc2(x, y),
user_functions={"myfunc2": [(lambda *x: False, "Myfunc2")]
}) == "myfunc2[x, y]"
def test_minimize():
assert minimize(1) == (1, {})
assert minimize((x - 2)**2) == (0, {x: 2})
assert minimize((x - 2)**2, x) == (0, {x: 2})
assert minimize(1/x, x) == (-oo, {x: 0})
assert minimize(2*x**2 - 4*x + 5, x) == (3, {x: 1})
assert minimize([2*x**2 - 4*x + 5, x > 0], x) == (3, {x: 1})
assert minimize([2*x**2 - 4*x + 5, x > 1], x) is None
assert minimize([2*x**2 - 4*x + 5, x >= 2], x) == (5, {x: 2})
assert minimize([2*x**2 - 4*x + 5, x**2 <= 0], x) == (5, {x: 0})
assert minimize([x**2 - 1,
(x - 1)*(x - 2)*(x - 3)*(4 - x) >= 0]) == (0, {x: 1})
assert minimize([x**2, (x + 2)*(x - 1)*(1 - x) >= 0]) == (1, {x: 1})
assert minimize(sign(x), x) == (-1, {x: 0})
def test_Function():
assert mcode(f(x, y, z)) == "f[x, y, z]"
assert mcode(sin(x)**cos(x)) == "Sin[x]^Cos[x]"
assert mcode(sign(x)) == "Sign[x]"
assert mcode(atanh(x), user_functions={"atanh": "ArcTanh"}) == "ArcTanh[x]"
assert (mcode(meijerg(((1, 1), (3, 4)), ((1, ), ()),
x)) == "MeijerG[{{1, 1}, {3, 4}}, {{1}, {}}, x]")
assert (mcode(hyper((1, 2, 3), (3, 4),
x)) == "HypergeometricPFQ[{1, 2, 3}, {3, 4}, x]")
assert mcode(Min(x, y)) == "Min[x, y]"
assert mcode(Max(x, y)) == "Max[x, y]"
def test_minimize():
assert minimize(1) == (1, {})
assert minimize((x - 2)**2) == (0, {x: 2})
assert minimize((x - 2)**2, x) == (0, {x: 2})
assert minimize(1/x, x) == (-oo, {x: 0})
assert minimize(2*x**2 - 4*x + 5, x) == (3, {x: 1})
assert minimize([2*x**2 - 4*x + 5, x > 0], x) == (3, {x: 1})
assert minimize([2*x**2 - 4*x + 5, x > 1], x) is None
assert minimize([2*x**2 - 4*x + 5, x >= 2], x) == (5, {x: 2})
assert minimize([2*x**2 - 4*x + 5, x**2 <= 0], x) == (5, {x: 0})
assert minimize([x**2 - 1,
(x - 1)*(x - 2)*(x - 3)*(4 - x) >= 0]) == (0, {x: 1})
assert minimize([x**2, (x + 2)*(x - 1)*(1 - x) >= 0]) == (1, {x: 1})
assert minimize(sign(x), x) == (-1, {x: 0})
def _sqrt_numeric_denest(a, b, r, d2):
"""Helper that denest expr = a + b*sqrt(r), with d2 = a**2 - b**2*r > 0
or returns None if not denested.
"""
from diofant.simplify.simplify import radsimp
depthr = sqrt_depth(r)
d = sqrt(d2)
vad = a + d
# sqrt_depth(res) <= sqrt_depth(vad) + 1
# sqrt_depth(expr) = depthr + 2
# there is denesting if sqrt_depth(vad)+1 < depthr + 2
# if vad**2 is Number there is a fourth root
if sqrt_depth(vad) < depthr + 1 or (vad**2).is_Rational:
vad1 = radsimp(1 / vad)
return (sqrt(vad / 2) + sign(b) * sqrt(
(b**2 * r * vad1 / 2).expand())).expand()
def test_Function():
assert mcode(f(x, y, z)) == "f[x, y, z]"
assert mcode(sin(x) ** cos(x)) == "Sin[x]^Cos[x]"
assert mcode(sign(x)) == "Sign[x]"
assert mcode(atanh(x), user_functions={"atanh": "ArcTanh"}) == "ArcTanh[x]"
assert (mcode(meijerg(((1, 1), (3, 4)), ((1,), ()), x)) ==
"MeijerG[{{1, 1}, {3, 4}}, {{1}, {}}, x]")
assert (mcode(hyper((1, 2, 3), (3, 4), x)) ==
"HypergeometricPFQ[{1, 2, 3}, {3, 4}, x]")
assert mcode(Min(x, y)) == "Min[x, y]"
assert mcode(Max(x, y)) == "Max[x, y]"
assert mcode(Max(x, 2)) == "Max[2, x]" # issue sympy/sympy#15344
assert mcode(binomial(x, y)) == "Binomial[x, y]"
assert mcode(log(x)) == "Log[x]"
assert mcode(tan(x)) == "Tan[x]"
assert mcode(cot(x)) == "Cot[x]"
assert mcode(asin(x)) == "ArcSin[x]"
assert mcode(acos(x)) == "ArcCos[x]"
assert mcode(atan(x)) == "ArcTan[x]"
assert mcode(sinh(x)) == "Sinh[x]"
assert mcode(cosh(x)) == "Cosh[x]"
assert mcode(tanh(x)) == "Tanh[x]"
assert mcode(coth(x)) == "Coth[x]"
assert mcode(sech(x)) == "Sech[x]"
assert mcode(csch(x)) == "Csch[x]"
assert mcode(erfc(x)) == "Erfc[x]"
assert mcode(conjugate(x)) == "Conjugate[x]"
assert mcode(re(x)) == "Re[x]"
assert mcode(im(x)) == "Im[x]"
assert mcode(polygamma(x, y)) == "PolyGamma[x, y]"
assert mcode(factorial(x)) == "Factorial[x]"
assert mcode(factorial2(x)) == "Factorial2[x]"
assert mcode(rf(x, y)) == "Pochhammer[x, y]"
assert mcode(gamma(x)) == "Gamma[x]"
assert mcode(zeta(x)) == "Zeta[x]"
assert mcode(asinh(x)) == "ArcSinh[x]"
assert mcode(Heaviside(x)) == "UnitStep[x]"
assert mcode(fibonacci(x)) == "Fibonacci[x]"
assert mcode(polylog(x, y)) == "PolyLog[x, y]"
assert mcode(atanh(x)) == "ArcTanh[x]"
class myfunc1(Function):
@classmethod
def eval(cls, x):
pass
class myfunc2(Function):
@classmethod
def eval(cls, x, y):
pass
pytest.raises(ValueError,
lambda: mcode(myfunc1(x),
user_functions={"myfunc1": ["Myfunc1"]}))
assert mcode(myfunc1(x),
user_functions={"myfunc1": "Myfunc1"}) == "Myfunc1[x]"
assert mcode(myfunc2(x, y),
user_functions={"myfunc2": [(lambda *x: False,
"Myfunc2")]}) == "myfunc2[x, y]"