Parallel mode problem matrix creation.
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@ -1468,13 +1468,16 @@ cdef class ScatteringSystem:
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qpms_scatsys_build_modeproblem_matrix_full(&target_view[0][0], self.s, k)
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return target
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def modeproblem_matrix_packed(self, double k, qpms_iri_t iri, version=None):
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def modeproblem_matrix_packed(self, double k, qpms_iri_t iri, version='pR'):
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cdef size_t rlen = self.saecv_sizes[iri]
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cdef np.ndarray[np.complex_t, ndim=2] target = np.empty(
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(rlen,rlen),dtype=complex, order='C')
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cdef cdouble[:,::1] target_view = target
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if (version == 'R'):
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qpms_scatsys_build_modeproblem_matrix_irrep_packed_orbitorderR(&target_view[0][0], self.s, iri, k)
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elif (version == 'pR'):
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with nogil:
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qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR(&target_view[0][0], self.s, iri, k)
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else:
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qpms_scatsys_build_modeproblem_matrix_irrep_packed(&target_view[0][0], self.s, iri, k)
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return target
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@ -293,6 +293,8 @@ cdef extern from "scatsystem.h":
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const qpms_scatsys_t *ss, qpms_iri_t iri, double k)
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cdouble *qpms_scatsys_build_modeproblem_matrix_irrep_packed_orbitorderR(
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cdouble *target, const qpms_scatsys_t *ss, qpms_iri_t iri, double k)
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cdouble *qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR(
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cdouble *target, const qpms_scatsys_t *ss, qpms_iri_t iri, double k) nogil
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@ -1561,3 +1561,177 @@ complex double *qpms_scatsys_build_modeproblem_matrix_irrep_packed_orbitorderR(
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free(TSblock);
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return target_packed;
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}
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struct qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR_thread_arg{
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const qpms_scatsys_t *ss;
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qpms_ss_pi_t *opistartR_ptr;
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pthread_mutex_t *opistartR_mutex;
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qpms_iri_t iri;
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complex double *target_packed;
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double k;
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};
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static void *qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR_thread(void *arg)
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{
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const struct qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR_thread_arg
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*a = arg;
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const qpms_scatsys_t *ss = a->ss;
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const qpms_iri_t iri = a->iri;
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const size_t packedlen = ss->saecv_sizes[iri];
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// some of the following workspaces are probably redundant; TODO optimize later.
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// workspaces for the uncompressed particle<-particle tranlation matrix block
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// and the result of multiplying with a T-matrix
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complex double *Sblock, *TSblock;
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QPMS_CRASHING_MALLOC(Sblock, sizeof(complex double)*SQ(ss->max_bspecn));
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QPMS_CRASHING_MALLOC(TSblock, sizeof(complex double)*SQ(ss->max_bspecn));
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// Workspace for the intermediate particle-orbit matrix result
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complex double *tmp;
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QPMS_CRASHING_MALLOC(tmp, sizeof(complex double) * SQ(ss->max_bspecn) * ss->sym->order);
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const complex double one = 1, zero = 0;
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while(1) {
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// In the beginning, pick a target (row) orbit for this thread
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QPMS_ENSURE_SUCCESS(pthread_mutex_lock(a->opistartR_mutex));
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if(*(a->opistartR_ptr) >= ss->p_count) {// Everything is already done, end
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QPMS_ENSURE_SUCCESS(pthread_mutex_unlock(a->opistartR_mutex));
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break;
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}
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const qpms_ss_pi_t opistartR = *(a->opistartR_ptr);
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// Now increment it for another thread:
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*(a->opistartR_ptr) += ss->orbit_types[ss->p_orbitinfo[ss->p_by_orbit[opistartR]].t].size;
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QPMS_ENSURE_SUCCESS(pthread_mutex_unlock(a->opistartR_mutex));
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// Orbit picked (defined by opistartR), do the work.
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const qpms_ss_pi_t orbitstartpiR = ss->p_by_orbit[opistartR];
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const qpms_ss_oti_t otiR = ss->p_orbitinfo[orbitstartpiR].t;
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const qpms_ss_osn_t osnR = ss->p_orbitinfo[orbitstartpiR].osn;
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const qpms_ss_orbit_type_t *const otR = ss->orbit_types + otiR;
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const qpms_ss_orbit_pi_t orbit_p_countR = otR->size;
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const size_t orbit_packedsizeR = otR->irbase_sizes[iri];
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if(orbit_packedsizeR) { // avoid zgemm crash on empty irrep
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const size_t particle_fullsizeR = otR->bspecn; // == bspecR->n
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const qpms_vswf_set_spec_t *bspecR = ss->tm[ss->p[orbitstartpiR].tmatrix_id]->spec;
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// This is the orbit-level matrix projecting the whole orbit onto the irrep.
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const complex double *omR = otR->irbases + otR->irbase_offsets[iri];
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// Orbit coeff vector's full size:
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const size_t orbit_fullsizeR = otR->size * otR->bspecn;
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// This is where the orbit starts in the "packed" vector:
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const size_t packed_orbit_offsetR =
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ss->saecv_ot_offsets[iri*ss->orbit_type_count + otiR]
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+ osnR * otR->irbase_sizes[iri];
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for(qpms_ss_orbit_pi_t opiR = 0; opiR < orbit_p_countR; ++opiR) {
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qpms_ss_pi_t piR = ss->p_by_orbit[opistartR + opiR];
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assert(opiR == ss->p_orbitinfo[piR].p);
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assert(otiR == ss->p_orbitinfo[piR].t);
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assert(ss->p_orbitinfo[piR].osn == osnR);
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const cart3_t posR = ss->p[piR].pos;
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// dest particle T-matrix
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const complex double *tmmR = ss->tm[ss->p[piR].tmatrix_id]->m;
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for(qpms_ss_pi_t piC = 0; piC < ss->p_count; ++piC) { //Column loop
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const qpms_ss_oti_t otiC = ss->p_orbitinfo[piC].t;
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const qpms_ss_orbit_type_t *const otC = ss->orbit_types + otiC;
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const qpms_ss_osn_t osnC = ss->p_orbitinfo[piC].osn;
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const qpms_ss_orbit_pi_t opiC = ss->p_orbitinfo[piC].p;
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// This is where the particle's orbit starts in the "packed" vector:
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const size_t packed_orbit_offsetC =
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ss->saecv_ot_offsets[iri*ss->orbit_type_count + otiC]
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+ osnC * otC->irbase_sizes[iri];
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const qpms_vswf_set_spec_t *bspecC = ss->tm[ss->p[piC].tmatrix_id]->spec;
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// Orbit coeff vector's full size:
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const size_t orbit_fullsizeC = otC->size * otC->bspecn;
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const size_t particle_fullsizeC = otC->bspecn; // == bspecC->n
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const size_t orbit_packedsizeC = otC->irbase_sizes[iri];
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// This is the orbit-level matrix projecting the whole orbit onto the irrep.
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const complex double *omC = otC->irbases + otC->irbase_offsets[iri];
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if(orbit_packedsizeC) { // avoid zgemm crash on empty irrep
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if(piC != piR) { // non-diagonal, calculate TS
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const cart3_t posC = ss->p[piC].pos;
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QPMS_ENSURE_SUCCESS(qpms_trans_calculator_get_trans_array_lc3p(ss->c,
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Sblock, // Sblock is S(piR->piC)
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bspecR, bspecC->n, bspecC, 1,
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a->k, posR, posC));
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cblas_zgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans,
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bspecR->n /*m*/, bspecC->n /*n*/, bspecR->n /*k*/,
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&one/*alpha*/, tmmR/*a*/, bspecR->n/*lda*/,
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Sblock/*b*/, bspecC->n/*ldb*/, &zero/*beta*/,
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TSblock /*c*/, bspecC->n /*ldc*/);
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} else { // diagonal, fill with diagonal -1
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for (size_t row = 0; row < bspecR->n; ++row)
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for (size_t col = 0; col < bspecC->n; ++col)
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TSblock[row * bspecC->n + col] = (row == col)? -1 : 0;
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}
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// tmp[oiR|piR,piC] = ∑_K M[piR,K] U*[K,piC]
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cblas_zgemm(CblasRowMajor, CblasNoTrans, CblasConjTrans,
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particle_fullsizeR /*M*/, orbit_packedsizeC /*N*/, particle_fullsizeC /*K*/,
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&one /*alpha*/, TSblock/*A*/, particle_fullsizeC/*ldA*/,
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omC + opiC*particle_fullsizeC /*B*/,
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orbit_fullsizeC/*ldB*/, &zero /*beta*/,
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tmp /*C*/, orbit_packedsizeC /*LDC*/);
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// target[oiR|piR,oiC|piC] += U[...] tmp[...]
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cblas_zgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans,
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orbit_packedsizeR /*M*/, orbit_packedsizeC /*N*/, particle_fullsizeR /*K*/,
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&one /*alpha*/, omR + opiR*particle_fullsizeR/*A*/, orbit_fullsizeR/*ldA*/,
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tmp /*B*/, orbit_packedsizeC /*ldB*/, &one /*beta*/,
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a->target_packed + packedlen*packed_orbit_offsetR + packed_orbit_offsetC /*C*/,
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packedlen /*ldC*/);
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}
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}
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}
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}
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}
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free(tmp);
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free(Sblock);
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free(TSblock);
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return NULL;
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}
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complex double *qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR(
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/// Target memory with capacity for ss->saecv_sizes[iri]**2 elements. If NULL, new will be allocated.
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complex double *target_packed,
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const qpms_scatsys_t *ss, qpms_iri_t iri,
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double k ///< Wave number to use in the translation matrix.
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)
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{
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const size_t packedlen = ss->saecv_sizes[iri];
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if (!packedlen) // THIS IS A BIT PROBLEMATIC, TODO how to deal with empty irreps?
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return target_packed;
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if (target_packed == NULL)
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target_packed = malloc(SQ(packedlen)*sizeof(complex double));
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if (target_packed == NULL) abort();
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memset(target_packed, 0, SQ(packedlen)*sizeof(complex double));
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qpms_ss_pi_t opistartR = 0;
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pthread_mutex_t opistartR_mutex;
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QPMS_ENSURE_SUCCESS(pthread_mutex_init(&opistartR_mutex, NULL));
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const struct qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR_thread_arg
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arg = {ss, &opistartR, &opistartR_mutex, iri, target_packed, k};
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// FIXME THIS IS NOT PORTABLE:
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long nthreads = sysconf(_SC_NPROCESSORS_ONLN);
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if (nthreads < 1) nthreads = 1; // If something goes wrong...
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pthread_t thread_ids[nthreads];
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for(long thi = 0; thi < nthreads; ++thi)
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QPMS_ENSURE_SUCCESS(pthread_create(thread_ids + thi, NULL,
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qpms_scatsys_build_modeproblem_matrix_irrep_packed_parallelR_thread,
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&arg));
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for(long thi = 0; thi < nthreads; ++thi) {
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void *retval;
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QPMS_ENSURE_SUCCESS(pthread_join(thread_ids[thi], &retval));
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}
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QPMS_ENSURE_SUCCESS(pthread_mutex_destroy(&opistartR_mutex));
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return target_packed;
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}
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@ -500,6 +500,13 @@ complex double *qpms_scatsys_build_modeproblem_matrix_irrep_packed_orbitorderR(
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const qpms_scatsys_t *ss, qpms_iri_t iri,
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double k ///< Wave number to use in the translation matrix.
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);
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/// Alternative implementation of qpms_scatsys_build_modeproblem_matrix_irrep_packed().
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complex double *qpms_scatsys_build_modeproblem_matrix_irrep_packed_orbitorder_parallelR(
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/// Target memory with capacity for ss->fecv_size**2 elements. If NULL, new will be allocated.
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complex double *target,
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const qpms_scatsys_t *ss, qpms_iri_t iri,
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double k ///< Wave number to use in the translation matrix.
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);
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/// NOT IMPLEMENTED Dumps a qpms_scatsys_t structure to a file.
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qpms_errno_t qpms_scatsys_dump(qpms_scatsys_t *ss, char *path);
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2
setup.py
2
setup.py
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@ -35,7 +35,7 @@ qpms_c = Extension('qpms_c',
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'-DDISABLE_NDEBUG', # uncomment to enable assertions in the modules
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#'-fopenmp',
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],
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libraries=['gsl', 'lapacke', 'blas', 'gslcblas', #'omp'
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libraries=['gsl', 'lapacke', 'blas', 'gslcblas', 'pthread', #'omp'
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# TODO resolve the problem with openblas (missing gotoblas symbol) and preferable use other blas library
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],
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runtime_library_dirs=os.environ['LD_LIBRARY_PATH'].split(':') if 'LD_LIBRARY_PATH' in os.environ else []
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@ -38,7 +38,8 @@ ss = ScatteringSystem(particles, sym)
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k = n * omega / c
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for iri in range(ss.nirreps):
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mm_iri_orig = ss.modeproblem_matrix_packed(k, iri)
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mm_iri_orig = ss.modeproblem_matrix_packed(k, iri, version = None)
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mm_iri_alt = ss.modeproblem_matrix_packed(k, iri, version='R')
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print(np.amax(abs(mm_iri_orig-mm_iri_alt)))
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mm_iri_paral = ss.modeproblem_matrix_packed(k, iri, version='pR')
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print(np.amax(abs(mm_iri_orig-mm_iri_alt)), np.amax(abs(mm_iri_orig-mm_iri_paral)))
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