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306-sigmoi
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66b56c9be6 |
@ -1,16 +0,0 @@
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/* integrands used in quadrature integration with scipy's LowLevelCallables */
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#include <math.h>
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double anistropicDiffusion(double x, void *user_data) {
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double *c = (double *)user_data;
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double q = c[0];
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double t = c[1];
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double d_perp = c[2];
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double d_par = c[3];
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double cos_theta = cos(x);
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double sin_theta = sin(x);
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return exp(-q * q * t * (d_par * cos_theta * cos_theta + d_perp * sin_theta * sin_theta)) * sin_theta;
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}
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@ -5,17 +5,6 @@ from ctypes import CDLL, c_double, c_void_p
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from ..lib.logger import logger
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from ..lib.logger import logger
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diffusion_lib = None
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try:
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diffusion_lib = CDLL(str(Path(__file__).parents[1] / 'clib' / 'diffusion.so'))
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diffusion_lib.anistropicDiffusion.restype = c_double
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diffusion_lib.anistropicDiffusion.argtypes = (c_double, c_void_p)
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HAS_C_FUNCS = True
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except OSError:
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HAS_C_FUNCS = False
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lib = None
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lib = None
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try:
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try:
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lib = CDLL(str(Path(__file__).parents[1] / 'clib' / 'integrate.so'))
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lib = CDLL(str(Path(__file__).parents[1] / 'clib' / 'integrate.so'))
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@ -50,8 +39,10 @@ try:
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lib.energyDistSuscImag.restype = c_double
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lib.energyDistSuscImag.restype = c_double
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lib.energyDistSuscImag.argtypes = (c_double, c_void_p)
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lib.energyDistSuscImag.argtypes = (c_double, c_void_p)
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HAS_C_FUNCS = True
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HAS_C_FUNCS = True
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logger.info('Use C functions')
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logger.info('Use C functions')
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except OSError:
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except OSError:
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HAS_C_FUNCS = False
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HAS_C_FUNCS = False
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logger.info('Use python functions')
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logger.info('Use python functions')
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@ -1,11 +1,7 @@
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from ctypes import c_double, cast, c_void_p, pointer
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import numpy as np
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import numpy as np
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from scipy import special as special, LowLevelCallable
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from scipy import special as special
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from scipy.integrate import quad
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from ..utils import gamma
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from ..utils import gamma
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from nmreval.distributions.helper import HAS_C_FUNCS, diffusion_lib
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class Diffusion:
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class Diffusion:
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@ -107,29 +103,13 @@ class AnisotropicDiffusion(object):
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tp = x
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tp = x
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relax = np.exp(-(tp/trel)**brel)*np.exp(-(tp/trel)**brel)
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relax = np.exp(-(tp/trel)**brel)*np.exp(-(tp/trel)**brel)
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q = g * nucleus * tp
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q_squared = np.power(g * nucleus * tp, 2)
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t = 2 * tp / 3 + tm
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t = 2 * tp / 3 + tm
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z = np.sqrt(q_squared * (d_par - d_perp) * t)
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# Callaghan eq (6.89)
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# Callaghan eq (6.89)
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if HAS_C_FUNCS:
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diffs = np.exp(-q_squared*t*d_perp) * special.erf(z) / z
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# divide by 2 to normalize by integral sin(x), x=0..pi
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diffusion_decay = AnisotropicDiffusion._integrate_c(q, t, d_perp, d_par) / 2
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else:
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z = np.sqrt(q**2 * (d_par - d_perp) * t)
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diffusion_decay = np.exp(-q**2 * t * d_perp) * special.erf(z) / z
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return m0 * diffusion_decay * relax
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return m0 * diffs * relax
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@staticmethod
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def _integrate_c(q, t, d_perp, d_par) -> np.ndarray:
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diffusion_decay = np.zeros_like(t)
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for (i, t_i) in enumerate(t):
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c = (c_double * 4)(q, t_i, d_perp, d_par)
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user_data = cast(pointer(c), c_void_p)
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diffusion_decay[i] = quad(LowLevelCallable(diffusion_lib.anistropicDiffusion, user_data), 0, np.pi, epsabs=1e-13)[0]
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return diffusion_decay
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class Peschier:
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class Peschier:
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