Dense matrix uvswf repre of a general O(3) transformation.
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@ -1,6 +1,7 @@
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#include "symmetries.h"
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#include "tiny_inlines.h"
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#include "indexing.h"
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#include "wigner.h"
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// TODO at some point, maybe support also other norms.
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// (perhaps just use qpms_normalisation_t_factor() at the right places)
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@ -16,15 +17,25 @@ static inline void check_norm_compat(const qpms_vswf_set_spec_t *s)
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}
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}
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complex double *qpms_zflip_uvswi_dense(
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complex double *target,
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const qpms_vswf_set_spec_t *bspec)
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{
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// Used in the functions below to ensure memory allocation and checks for bspec validity
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static inline complex double *ensure_alloc(complex double *target,
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const qpms_vswf_set_spec_t *bspec) {
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check_norm_compat(bspec);
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const size_t n = bspec->n;
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if (target == NULL)
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target = malloc(n * n * sizeof(complex double));
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if (target == NULL) abort();
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return target;
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}
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complex double *qpms_zflip_uvswi_dense(
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complex double *target,
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const qpms_vswf_set_spec_t *bspec)
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{
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target = ensure_alloc(target, bspec);
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const size_t n = bspec->n;
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for (size_t row = 0; row < n; row++) {
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qpms_vswf_type_t rt;
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@ -58,11 +69,8 @@ complex double *qpms_yflip_uvswi_dense(
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complex double *target,
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const qpms_vswf_set_spec_t *bspec)
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{
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check_norm_compat(bspec);
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target = ensure_alloc(target, bspec);
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const size_t n = bspec->n;
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if (target == NULL)
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target = malloc(n * n * sizeof(complex double));
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if (target == NULL) abort();
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for (size_t row = 0; row < n; row++) {
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qpms_vswf_type_t rt;
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@ -96,11 +104,8 @@ complex double *qpms_xflip_uvswi_dense(
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complex double *target,
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const qpms_vswf_set_spec_t *bspec)
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{
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check_norm_compat(bspec);
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target = ensure_alloc(target, bspec);
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const size_t n = bspec->n;
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if (target == NULL)
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target = malloc(n * n * sizeof(complex double));
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if (target == NULL) abort();
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for (size_t row = 0; row < n; row++) {
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qpms_vswf_type_t rt;
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@ -137,11 +142,8 @@ complex double *qpms_zrot_uvswi_dense(
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double phi ///< Rotation angle
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)
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{
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check_norm_compat(bspec);
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target = ensure_alloc(target, bspec);
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const size_t n = bspec->n;
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if (target == NULL)
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target = malloc(n * n * sizeof(complex double));
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if (target == NULL) abort();
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for (size_t row = 0; row < n; row++) {
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qpms_vswf_type_t rt;
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@ -175,3 +177,34 @@ complex double *qpms_zrot_rational_uvswi_dense(
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return qpms_zrot_uvswi_dense(target, bspec, phi);
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}
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complex double *qpms_irot3_uvswfi_dense(
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complex double *target,
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const qpms_vswf_set_spec_t *bspec,
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const qpms_irot3_t t)
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{
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target = ensure_alloc(target, bspec);
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const size_t n = bspec->n;
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for (size_t row = 0; row < n; row++) {
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qpms_vswf_type_t rt;
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qpms_l_t rl;
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qpms_m_t rm;
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qpms_uvswfi2tmn(bspec->ilist[row], &rt, &rm, &rl);
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for (size_t col = 0; col < n; col++) {
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qpms_vswf_type_t ct;
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qpms_l_t cl;
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qpms_m_t cm;
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if(qpms_uvswfi2tmn(bspec->ilist[col], &ct, &cm, &cl)) abort();
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if (rl == cl && rm == cm && rt == ct)
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// TODO qpms_vswf_irot_elem_from_irot3 might be slow and not too accurate for large l
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target[n*row + col] = // Checkme rm and cm order
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qpms_vswf_irot_elem_from_irot3(t,
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rl, rm /* CHECKME here */, cm /* and here */,
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rt == QPMS_VSWF_MAGNETIC);
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else target[n*row + col] = 0;
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}
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}
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return target;
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}
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@ -22,6 +22,7 @@
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#ifndef SYMMETRIES_H
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#define SYMMETRIES_H
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#include "vswf.h"
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#include "qpms_types.h"
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#include <cblas.h>
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/// Dense matrix representation of the z coordinate sign flip operation (xy-plane mirroring).
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@ -52,4 +53,10 @@ complex double *qpms_zrot_rational_uvswi_dense(
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int w
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);
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/// Dense matrix (uvswi-indexed) representation of any O(3) transformation.
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complex double *qpms_irot3_uvswfi_dense(
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complex double *target, ///< If NULL, a new array is allocated.
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const qpms_vswf_set_spec_t *bspec,
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const qpms_irot3_t transf);
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#endif // SYMMETRIES_H
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