"Basis fields" for finite systems.

There seem to be race conditions in the prange'd cython parts.
This commit is contained in:
Marek Nečada 2020-07-24 09:43:19 +03:00
parent 9e350cdac6
commit 478b010a15
5 changed files with 131 additions and 25 deletions

0
qpms/qpms_c.py Normal file
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@ -1289,8 +1289,9 @@ cdef class _ScatteringSystemAtOmega:
return results.reshape(evalpos.shape) return results.reshape(evalpos.shape)
@boundscheck(False) @boundscheck(False)
def scattered_field_basis(self, evalpos, blochvector=None, btyp=QPMS_HANKEL_PLUS): def scattered_field_basis(self, evalpos, blochvector=None, particle=None, btyp=QPMS_HANKEL_PLUS):
# TODO examples # TODO examples
# FIXME periodic case not implemented
"""Evaluate scattered field "basis" """Evaluate scattered field "basis"
This function enables the evaluation of "scattered" fields This function enables the evaluation of "scattered" fields
@ -1304,25 +1305,31 @@ cdef class _ScatteringSystemAtOmega:
Evaluation points in cartesian coordinates. Evaluation points in cartesian coordinates.
blochvector: array_like or None blochvector: array_like or None
Bloch vector, must be supplied (non-None) for periodic systems, else None. Bloch vector, must be supplied (non-None) for periodic systems, else None.
particle_index: int or None (default), optional
A valid particle index; if specified, only the contribution of the given particle
is evaluated. Not applicable for periodic arrays.
btyp: BesselType, optional btyp: BesselType, optional
Kind of the waves. Defaults to BesselType.HANKEL_PLUS. Kind of the waves. Defaults to BesselType.HANKEL_PLUS.
Returns Returns
------- -------
ndarray of complex, with the shape `evalpos.shape[:-1] + (self.fecv_size, 3)` ndarray of complex, with the shape `evalpos.shape[:-1] + (n, 3)`
"Basis" fields at the positions given in `evalpos`, in cartesian coordinates. "Basis" fields at the positions given in `evalpos`, in cartesian coordinates.
`n` here stays either for `self.fecv_size` (if `particle==None`)
or `len(self.bspec_pi(particle))`.
""" """
if(btyp != QPMS_HANKEL_PLUS): #if(btyp != QPMS_HANKEL_PLUS): # #TODO, IIRC not supported only for periodic systems
raise NotImplementedError("Only first kind Bessel function-based fields are supported") # raise NotImplementedError("Only first kind Bessel function-based fields are supported")
cdef qpms_bessel_t btyp_c = BesselType(btyp) cdef qpms_bessel_t btyp_c = BesselType(btyp)
cdef Py_ssize_t fecv_size = self.fecv_size cdef Py_ssize_t basissize = self.fecv_size if particle is None else len(self.bspec_pi(particle))
cdef qpms_ss_pi_t pi = particle
evalpos = np.array(evalpos, dtype=float, copy=False) evalpos = np.array(evalpos, dtype=float, copy=False)
if evalpos.shape[-1] != 3: if evalpos.shape[-1] != 3:
raise ValueError("Last dimension of evalpos has to be 3") raise ValueError("Last dimension of evalpos has to be 3")
cdef np.ndarray[double,ndim=2] evalpos_a = evalpos.reshape(-1,3) cdef np.ndarray[double,ndim=2] evalpos_a = evalpos.reshape(-1,3)
cdef np.ndarray[complex, ndim=3] results = np.empty((evalpos_a.shape[0], fecv_size, 3), dtype=complex) cdef np.ndarray[complex, ndim=3] results = np.empty((evalpos_a.shape[0], basissize, 3), dtype=complex)
cdef ccart3_t *res cdef ccart3_t *res
res = <ccart3_t *> malloc(fecv_size*sizeof(ccart3_t)) res = <ccart3_t *> malloc(basissize*sizeof(ccart3_t))
cdef cart3_t pos cdef cart3_t pos
cdef Py_ssize_t i, j cdef Py_ssize_t i, j
with nogil, wraparound(False), parallel(): with nogil, wraparound(False), parallel():
@ -1330,14 +1337,24 @@ cdef class _ScatteringSystemAtOmega:
pos.x = evalpos_a[i,0] pos.x = evalpos_a[i,0]
pos.y = evalpos_a[i,1] pos.y = evalpos_a[i,1]
pos.z = evalpos_a[i,2] pos.z = evalpos_a[i,2]
qpms_scatsysw_scattered_field_basis(res, self.ssw, btyp_c, pos) if particle is None:
for j in range(fecv_size): qpms_scatsysw_scattered_field_basis(res, self.ssw, btyp_c, pos)
else:
qpms_scatsysw_scattered_field_basis_pi(res, self.ssw, pi, btyp_c, pos)
for j in range(basissize):
results[i,j,0] = res[j].x results[i,j,0] = res[j].x
results[i,j,1] = res[j].y results[i,j,1] = res[j].y
results[i,j,2] = res[j].z results[i,j,2] = res[j].z
free(res) free(res)
return results.reshape(evalpos.shape[:-1] + (self.fecv_size, 3)) return results.reshape(evalpos.shape[:-1] + (basissize, 3))
def bspec_pi(self, pi):
return self.ss_pyref.bspec_pi(pi)
property bspecs:
def __get__(self):
return self.ss_pyref.bspecs
cdef class ScatteringMatrix: cdef class ScatteringMatrix:
''' '''

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@ -712,6 +712,10 @@ cdef extern from "scatsystem.h":
qpms_bessel_t btyp, cdouble wavenumber, cart3_t where) nogil qpms_bessel_t btyp, cdouble wavenumber, cart3_t where) nogil
qpms_errno_t qpms_scatsysw_scattered_field_basis(ccart3_t *target, const qpms_scatsys_at_omega_t *ssw, qpms_errno_t qpms_scatsysw_scattered_field_basis(ccart3_t *target, const qpms_scatsys_at_omega_t *ssw,
qpms_bessel_t btyp, cart3_t where) nogil qpms_bessel_t btyp, cart3_t where) nogil
qpms_errno_t qpms_scatsys_scattered_field_basis_pi(ccart3_t *target, const qpms_scatsys_t *ss,
qpms_ss_pi_t pi, qpms_bessel_t btyp, cdouble wavenumber, cart3_t where) nogil
qpms_errno_t qpms_scatsysw_scattered_field_basis_pi(ccart3_t *target, const qpms_scatsys_at_omega_t *ssw,
qpms_ss_pi_t pi, qpms_bessel_t btyp, cart3_t where) nogil
qpms_errno_t qpms_scatsyswk_scattered_field_basis(ccart3_t *target, const qpms_scatsys_at_omega_k_t *sswk, qpms_errno_t qpms_scatsyswk_scattered_field_basis(ccart3_t *target, const qpms_scatsys_at_omega_k_t *sswk,
qpms_bessel_t btyp, cart3_t where) nogil qpms_bessel_t btyp, cart3_t where) nogil
double qpms_ss_adjusted_eta(const qpms_scatsys_t *ss, cdouble wavenumber, const double *wavevector) nogil double qpms_ss_adjusted_eta(const qpms_scatsys_t *ss, cdouble wavenumber, const double *wavevector) nogil

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@ -2049,6 +2049,37 @@ ccart3_t qpms_scatsysw_scattered_E(const qpms_scatsys_at_omega_t *ssw,
cvf, where); cvf, where);
} }
qpms_errno_t qpms_scatsys_scattered_field_basis_pi(
ccart3_t *target,
const qpms_scatsys_t *ss,
const qpms_ss_pi_t pi,
const qpms_bessel_t btyp,
const complex double k,
const cart3_t where
) {
qpms_ss_ensure_nonperiodic_a(ss, "qpms_scatsyswk_scattered_field_basis()");
QPMS_UNTESTED;
const qpms_vswf_set_spec_t *bspec = qpms_ss_bspec_pi(ss, pi);
csphvec_t *vswfs_sph; //Single particle contributions in spherical coordinates
QPMS_CRASHING_MALLOC(vswfs_sph, bspec->n * sizeof(*vswfs_sph));
const cart3_t particle_pos = ss->p[pi].pos;
const csph_t kr = sph_cscale(k, cart2sph(
cart3_substract(where, particle_pos)));
QPMS_ENSURE_SUCCESS(qpms_uvswf_fill(vswfs_sph, bspec, kr, btyp));
for(size_t i = 0; i < bspec->n; ++i)
target[i] = csphvec2ccart_csph(vswfs_sph[i], kr);
free(vswfs_sph);
return QPMS_SUCCESS;
}
qpms_errno_t qpms_scatsysw_scattered_field_basis_pi(
ccart3_t *target, const qpms_scatsys_at_omega_t *ssw, const qpms_ss_pi_t pi,
const qpms_bessel_t btyp, const cart3_t where) {
return qpms_scatsys_scattered_field_basis_pi(target, ssw->ss, pi, btyp,
ssw->wavenumber, where);
}
qpms_errno_t qpms_scatsys_scattered_field_basis( qpms_errno_t qpms_scatsys_scattered_field_basis(
ccart3_t *target, ccart3_t *target,
const qpms_scatsys_t *ss, const qpms_scatsys_t *ss,
@ -2058,20 +2089,9 @@ qpms_errno_t qpms_scatsys_scattered_field_basis(
) { ) {
qpms_ss_ensure_nonperiodic_a(ss, "qpms_scatsyswk_scattered_field_basis()"); qpms_ss_ensure_nonperiodic_a(ss, "qpms_scatsyswk_scattered_field_basis()");
QPMS_UNTESTED; QPMS_UNTESTED;
csphvec_t *vswfs_sph; //Single particle contributions in spherical coordinates for (qpms_ss_pi_t pi = 0; pi < ss->p_count; ++pi)
QPMS_CRASHING_CALLOC(vswfs_sph, ss->max_bspecn, sizeof(*vswfs_sph)); QPMS_ENSURE_SUCCESS(qpms_scatsys_scattered_field_basis_pi(
target + ss->fecv_pstarts[pi], ss, pi, btyp, k, where));
for (qpms_ss_pi_t pi = 0; pi < ss->p_count; ++pi) {
const qpms_vswf_set_spec_t *bspec = qpms_ss_bspec_pi(ss, pi);
const cart3_t particle_pos = ss->p[pi].pos;
const csph_t kr = sph_cscale(k, cart2sph(
cart3_substract(where, particle_pos)));
QPMS_ENSURE_SUCCESS(qpms_uvswf_fill(vswfs_sph, bspec, kr, btyp));
for(size_t i = 0; i < bspec->n; ++i)
target[ss->fecv_pstarts[pi] + i] = csphvec2ccart_csph(vswfs_sph[i], kr);
}
free(vswfs_sph);
return QPMS_SUCCESS; return QPMS_SUCCESS;
} }

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@ -757,12 +757,77 @@ qpms_errno_t qpms_scatsys_scattered_field_basis(
cart3_t evalpoint ///< A point \f$ \vect r \f$, at which the field is evaluated. cart3_t evalpoint ///< A point \f$ \vect r \f$, at which the field is evaluated.
); );
/// Evaluates a "basis" for electric field of a given particle at a given point.
/**
* This function evaluates all the included VSWFs from a particle in the system, evaluated
* at a given point.
*
* Finite systems only.
*
* \see qpms_scatsys_scattered_field_basis() for the whole-array equivalent.
*
* \see qpms_scatsysw_scattered_field_basis_pi()
*/
qpms_errno_t qpms_scatsys_scattered_field_basis_pi(
ccart3_t *target, ///< Target array of length at least `qpms_ss_bspec_pi(ssw->ss, pi)->n`
const qpms_scatsys_t *ss,
qpms_ss_pi_t pi, ///< Particle index
qpms_bessel_t typ, ///< Bessel function kind to use (for scattered fields, use QPMS_HANKEL_PLUS).
complex double wavenumber, ///< Wavenumber of the background medium
cart3_t evalpoint ///< A point \f$ \vect r \f$, at which the field is evaluated.
);
/// Evaluates a "basis" for electric field at a given point. /// Evaluates a "basis" for electric field at a given point.
/** /**
* This function evaluates all the included VSWFs from the particles in the system, evaluated * This function evaluates all the included VSWFs from the particles in the system, evaluated
* at a given point. Taking a linear combination of these with the coefficients \a scattcoeff_full[] * at a given point. Taking a linear combination of these with the coefficients \a scattcoeff_full[]
* would be equivalent to the result of qpms_scatsysw_scattered_E(). * would be equivalent to the result of qpms_scatsysw_scattered_E().
* *
* Note that this might require a relatively large amount of memory. Depending
* on the application, qpms_scatsysw_scattered_field_basis_pi() might be a better
* alternative.
*
* \see qpms_scatsysw_scattered_field_basis_pi() for the single-particle equivalent.
*
* \see qpms_scatsys_scattered_field_basis()
*
* \see qpms_scatsyswk_scattered_field_basis() for periodic systems.
*
*/
qpms_errno_t qpms_scatsysw_scattered_field_basis(
ccart3_t *target, ///< Target array of length \a ss->fecv_size
const qpms_scatsys_at_omega_t *ssw,
qpms_bessel_t typ, ///< Bessel function kind to use (for scattered fields, use QPMS_HANKEL_PLUS).
cart3_t evalpoint ///< A point \f$ \vect r \f$, at which the field is evaluated.
);
/// Evaluates a "basis" for electric field of a given particle at a given point.
/**
* This function evaluates all the included VSWFs from a particle in the system, evaluated
* at a given point.
*
* Finite systems only.
*
* \see qpms_scatsysw_scattered_field_basis() for the whole-array equivalent.
*
* \see qpms_scatsys_scattered_field_basis_pi()
*/
qpms_errno_t qpms_scatsysw_scattered_field_basis_pi(
ccart3_t *target, ///< Target array of length at least `qpms_ss_bspec_pi(ssw->ss, pi)->n`
const qpms_scatsys_at_omega_t *ssw,
qpms_ss_pi_t pi, ///< Particle index
qpms_bessel_t typ, ///< Bessel function kind to use (for scattered fields, use QPMS_HANKEL_PLUS).
cart3_t evalpoint ///< A point \f$ \vect r \f$, at which the field is evaluated.
);
/// Evaluates a "basis" for electric field at a given point.
/**
* This function evaluates all the included VSWFs from the particles in the system, evaluated
* at a given point. Taking a linear combination of these with the coefficients \a scattcoeff_full[]
* would be equivalent to the result of qpms_scatsysw_scattered_E().
*
* \see qpms_scatsysw_scattered_field_basis_pi()
*
* \see qpms_scatsys_scattered_field_basis() * \see qpms_scatsys_scattered_field_basis()
* *
* \see qpms_scatsyswk_scattered_field_basis() for periodic systems. * \see qpms_scatsyswk_scattered_field_basis() for periodic systems.