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/dports/math/py-sympy/sympy-1.9/sympy/functions/special/tests/
H A Dtest_delta_functions.py28 assert DiracDelta(0).func is DiracDelta
29 assert DiracDelta(x).func is DiracDelta
35 assert adjoint(DiracDelta(x)) == DiracDelta(x)
37 assert conjugate(DiracDelta(x)) == DiracDelta(x)
39 assert transpose(DiracDelta(x)) == DiracDelta(x)
42 assert DiracDelta(x).diff(x) == DiracDelta(x, 1)
56 DiracDelta(x - 3)/2 + DiracDelta(x - 2) + DiracDelta(x - 1)/2)
60 assert DiracDelta(-x, 2) == DiracDelta(x, 2)
62 assert DiracDelta(-oo*x) == DiracDelta(oo*x)
63 assert DiracDelta(x - y) != DiracDelta(y - x)
[all …]
H A Dtest_singularity_functions.py2 nan, pi, symbols, DiracDelta, Symbol, diff,
102 expr_out = (x - 4)**5*Heaviside(x - 4) + DiracDelta(x + 3) - DiracDelta(x, 1)
104 assert expr_in.rewrite(DiracDelta) == expr_out
108 expr_out = (x - a)**n*Heaviside(x - a) + DiracDelta(x - a) + DiracDelta(a - x, 1)
110 assert expr_in.rewrite(DiracDelta) == expr_out
/dports/math/py-Diofant/Diofant-0.13.0/diofant/tests/functions/
H A Dtest_delta_functions.py26 assert isinstance(DiracDelta(0), DiracDelta)
27 assert isinstance(DiracDelta(x), DiracDelta)
29 assert adjoint(DiracDelta(x)) == DiracDelta(x)
30 assert adjoint(DiracDelta(x - y)) == DiracDelta(x - y)
31 assert conjugate(DiracDelta(x)) == DiracDelta(x)
32 assert conjugate(DiracDelta(x - y)) == DiracDelta(x - y)
33 assert transpose(DiracDelta(x)) == DiracDelta(x)
36 assert DiracDelta(x).diff(x) == DiracDelta(x, 1)
37 assert DiracDelta(x, 1).diff(x) == DiracDelta(x, 2)
48 assert DiracDelta(y).simplify(x) == DiracDelta(y)
[all …]
/dports/math/py-sympy/sympy-1.9/sympy/integrals/tests/
H A Dtest_deltafunctions.py11 assert change_mul(x*y*DiracDelta(x), x) == (DiracDelta(x), x*y)
12 assert change_mul(x*y*DiracDelta(x)*DiracDelta(y), x) == \
13 (DiracDelta(x), x*y*DiracDelta(y))
15 (DiracDelta(x), DiracDelta(x))
17 (DiracDelta(x), y*DiracDelta(x))
37 assert deltaintegrate(DiracDelta(x, 1), x) == DiracDelta(x, 0)
38 assert deltaintegrate(y*DiracDelta(x, 1), x) == y*DiracDelta(x, 0)
50 p = cos(x)*(DiracDelta(x) + DiracDelta(x**2 - 1))*sin(x)*(x - pi)
56 p = x_2*DiracDelta(x - x_2)*DiracDelta(x_2 - x_1)
59 p = x*y**2*z*DiracDelta(y - x)*DiracDelta(y - z)*DiracDelta(x - z)
[all …]
H A Dtest_transforms.py512 assert LT(DiracDelta(t)+DiracDelta(t-42), t, s) == \
515 assert LT(exp(-t)*(DiracDelta(t)+DiracDelta(t-42)), t, s) == \
519 assert LT(DiracDelta(t**2), t, s) == LaplaceTransform(DiracDelta(t**2), t, s)
523 assert LT((DiracDelta(t) + 1)*(DiracDelta(t - 1) + 1), t, s) == \
524 (LaplaceTransform(DiracDelta(t)*DiracDelta(t - 1), t, s) + \
579 DiracDelta
587 assert ILT(1, s, t) == DiracDelta(t)
637 from sympy import DiracDelta
642 2*DiracDelta(t + 3) - 5*DiracDelta(t - 7)
658 (DiracDelta(t + z), Eq(im(z), 0))
[all …]
/dports/math/py-Diofant/Diofant-0.13.0/diofant/tests/integrals/
H A Dtest_deltafunctions.py15 assert change_mul(x*y*DiracDelta(x), x) == (DiracDelta(x), x*y)
16 assert change_mul(x*y*DiracDelta(x)*DiracDelta(y), x) == \
17 (DiracDelta(x), x*y*DiracDelta(y))
19 (DiracDelta(x), DiracDelta(x))
21 (DiracDelta(x), y*DiracDelta(x))
29 assert deltaintegrate(DiracDelta(x, n + 1), x) == DiracDelta(x, n)
38 assert deltaintegrate(DiracDelta(x)**2, x) == DiracDelta(0)*Heaviside(x)
51 p = cos(x)*(DiracDelta(x) + DiracDelta(x**2 - 1))*sin(x)*(x - pi)
57 p = x_2*DiracDelta(x - x_2)*DiracDelta(x_2 - x_1)
60 p = x*y**2*z*DiracDelta(y - x)*DiracDelta(y - z)*DiracDelta(x - z)
[all …]
/dports/math/py-sympy/sympy-1.9/sympy/physics/quantum/tests/
H A Dtest_cartesian.py3 from sympy import S, Interval, symbols, I, DiracDelta, exp, sqrt, pi
26 assert represent(XKet(x)) == DiracDelta(x - x_1)
27 assert represent(XBra(x)) == DiracDelta(-x + x_1)
29 assert represent(XOp()*XKet()) == x*DiracDelta(x - x_2)
31 x*DiracDelta(x - x_3)*DiracDelta(x_1 - y)
32 assert represent(XBra("y")*XKet()) == DiracDelta(x - y)
34 XKet()*XBra()) == DiracDelta(x - x_2) * DiracDelta(x_1 - x)
54 assert represent(PxKet(px)) == DiracDelta(px - px_1)
63 -hbar*I*DiracDelta(x - x_2)*DifferentialOperator(x)
65 -hbar*I*DiracDelta(x - y)*DifferentialOperator(x)
[all …]
/dports/math/py-sympy/sympy-1.9/sympy/integrals/
H A Ddeltafunctions.py2 from sympy.functions import DiracDelta, Heaviside
56 if arg.is_Pow and isinstance(arg.base, DiracDelta):
59 if dirac is None and (isinstance(arg, DiracDelta) and arg.is_simple(x)):
66 if isinstance(arg, DiracDelta):
68 elif arg.is_Pow and isinstance(arg.base, DiracDelta):
136 if not f.has(DiracDelta):
143 if f.func == DiracDelta:
152 return (DiracDelta(f.args[0], f.args[1] - 1) /
198 return r*DiracDelta(x,m-1)
H A Dsingularityfunctions.py1 from sympy.functions import SingularityFunction, DiracDelta
63 expr = f.rewrite(DiracDelta)
/dports/math/py-Diofant/Diofant-0.13.0/diofant/integrals/
H A Ddeltafunctions.py2 from ..functions import DiracDelta, Heaviside
52 if arg.is_Pow and isinstance(arg.base, DiracDelta):
55 if dirac is None and (isinstance(arg, DiracDelta) and arg.is_simple(x)
63 if isinstance(arg, DiracDelta):
65 elif arg.is_Pow and isinstance(arg.base, DiracDelta):
128 if not f.has(DiracDelta):
135 if f.func == DiracDelta:
144 return (DiracDelta(f.args[0], f.args[1] - 1) /
/dports/cad/py-lcapy/lcapy-23c940f/lcapy/tests/
H A Dtest_core.py67 …l(a.inverse_laplace(causal=True), 20 * exp(2 * t) * H(t) + 7 * DiracDelta(t) + DiracDelta(t, 1), "…
91 …l(a.inverse_laplace(causal=True), 20 * exp(2 * t) * H(t) + 7 * DiracDelta(t) + DiracDelta(t, 1), "…
263 self.assertEqual((t * 0 + 1).fourier(), DiracDelta(f))
265 self.assertEqual(t.fourier(), 2 * j * pi * DiracDelta(f, 1))
267 DiracDelta(f - 1) + DiracDelta(f + 1))
269 -j * DiracDelta(f - 1) + j * DiracDelta(f + 1))
270 self.assertEqual(exp(j * 2 * pi * t).fourier(), DiracDelta(f - 1))
273 self.assertEqual(exp(-j * 2 * pi * t).fourier(), DiracDelta(f + 1))
296 self.assertEqual(DiracDelta(t).is_dc, False, "DiracDelta(t).is_dc")
305 DiracDelta(t).laplace()).is_causal, True)
[all …]
H A Dtest_laplace.py14 self.assertEqual(DiracDelta(t).laplace(), 1, "DiracDelta(t)")
22 self.assertEqual((s * 0 + 1).inverse_laplace(causal=True), DiracDelta(t),
25 * DiracDelta(t), "0")
/dports/math/py-sympy/sympy-1.9/sympy/physics/quantum/
H A Dcartesian.py9 from sympy import DiracDelta, exp, I, Interval, pi, S, sqrt
64 delta = DiracDelta(coord1 - coord2)
122 delta = DiracDelta(coord1 - coord2)
164 return DiracDelta(self.position - bra.position)
226 return DiracDelta(x_diff)*DiracDelta(y_diff)*DiracDelta(z_diff)
279 return DiracDelta(self.momentum - bra.momentum)
/dports/science/py-GPy/GPy-1.10.0/GPy/kern/src/
H A Dsympy_helpers.h2 double DiracDelta(double x);
3 double DiracDelta(double x, int foo);
/dports/math/py-sympy/sympy-1.9/sympy/functions/special/
H A Ddelta_functions.py17 class DiracDelta(Function): class
369 return Piecewise((DiracDelta(0), Eq(args[0], 0)), (0, True))
379 if self == DiracDelta(0):
381 if self == DiracDelta(0, 1):
487 return DiracDelta(self.args[0])
/dports/cad/py-lcapy/lcapy-23c940f/lcapy/
H A Dfourier.py56 return expr * sym.DiracDelta(f)
74 return const * sym.I * 2 * sym.pi * sym.DiracDelta(f, 1)
76 return const * (sym.I * 2 * sym.pi)**2 * sym.DiracDelta(f, 2)
98 return const * sym.DiracDelta(f - foo / (sym.I * 2 * sym.pi))
/dports/math/py-sympy/sympy-1.9/sympy/stats/tests/
H A Dtest_mix.py3 Indexed, Integer, Integral, DiracDelta, Dummy, Sum, oo)
61 expr1 = Integral(Sum(exp(-1)*Integral(exp(-k)*DiracDelta(k - 2), (k, 0, oo)
63 expr2 = Integral(Sum(exp(-1)*Integral(exp(-k)*DiracDelta(k - 2), (k, 0, oo)
/dports/graphics/appleseed/appleseed-2.1.0-beta/src/appleseed/renderer/modeling/bsdf/
H A Dbsdfsample.h126 (mode == ScatteringMode::Specular && probability == BSDF::DiracDelta) || in set_to_scattering()
142 (m_mode == ScatteringMode::Specular && m_probability == BSDF::DiracDelta) || in get_probability()
H A Dbsdfsample.cpp66 if (m_probability != BSDF::DiracDelta) in compute_reflected_differentials()
92 if (m_probability != BSDF::DiracDelta) in compute_transmitted_differentials()
H A Dspecularhelper.h64 sample.set_to_scattering(ScatteringMode::Specular, BSDF::DiracDelta); in sample()
H A Dbsdf.cpp61 const float BSDF::DiracDelta = -1.0f; member in renderer::BSDF
/dports/math/py-Diofant/Diofant-0.13.0/diofant/functions/special/
H A Ddelta_functions.py14 class DiracDelta(Function): class
198 return DiracDelta(self.args[0])
/dports/misc/openvdb/openvdb-9.0.0/openvdb/openvdb/tools/
H A DLevelSetMeasure.h83 class DiracDelta
87 DiracDelta(RealT eps) : mC(0.5/eps), mD(2*math::pi<RealT>()*mC), mE(eps) {} in DiracDelta() function
351 const DiracDelta<Real> DD(1.5);// dirac delta function is 3 voxel units wide in operator()
381 const DiracDelta<Real> DD(1.5);// dirac delta function is 3 voxel units wide in operator()
/dports/math/py-Diofant/Diofant-0.13.0/diofant/stats/
H A Dcrv.py16 from ..functions import DiracDelta, Piecewise
101 integrand *= DiracDelta(cond.lhs - cond.rhs)
272 return Lambda(z, self.integrate(DiracDelta(expr - z), **kwargs))
/dports/math/py-Diofant/Diofant-0.13.0/docs/modules/functions/
H A Dspecial.rst6 DiracDelta section in Special
8 .. autoclass:: diofant.functions.special.delta_functions.DiracDelta

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