def mp_cyl(x):
f = mp.mpf
theta = f(THETA) * mp.pi / f(180)
qr = x * f(RADIUS) * mp.sin(theta)
qh = x * f(LENGTH) / f(2) * mp.cos(theta)
be = f(2) * mp.j1(qr) / qr
si = mp.sin(qh) / qh
background = f(0)
#background = f(1)/f(1000)
volume = mp.pi * f(RADIUS)**f(2) * f(LENGTH)
contrast = f(5)
units = f(1) / f(10000)
#return be
#return si
return units * (volume * contrast * be * si)**f(2) / volume + background
"return sas_JN(3, q);", "sas_JN",
["lib/polevl.c", "lib/sas_J0.c", "lib/sas_J1.c", "lib/sas_JN.c"]),
shortname="J3",
)
add_function(
name="JN(2, x)",
mp_function=lambda x: mp.besselj(2, x),
np_function=lambda x: scipy.special.jn(2, x),
ocl_function=make_ocl(
"return sas_JN(2, q);", "sas_JN",
["lib/polevl.c", "lib/sas_J0.c", "lib/sas_J1.c", "lib/sas_JN.c"]),
shortname="J2",
)
add_function(
name="2 J1(x)/x",
mp_function=lambda x: 2 * mp.j1(x) / x,
np_function=lambda x: 2 * scipy.special.j1(x) / x,
ocl_function=make_ocl("return sas_2J1x_x(q);", "sas_2J1x_x",
["lib/polevl.c", "lib/sas_J1.c"]),
)
add_function(
name="J1(x)",
mp_function=mp.j1,
np_function=scipy.special.j1,
ocl_function=make_ocl("return sas_J1(q);", "sas_J1",
["lib/polevl.c", "lib/sas_J1.c"]),
)
add_function(
name="Si(x)",
mp_function=mp.si,
np_function=lambda x: scipy.special.sici(x)[0],
def _mp_fn(x):
"""
Actual function that gets evaluated. The caller just vectorizes.
"""
return mp.mpf(2)*mp.j1(x)/x