phono3py/c/collision_matrix.c

287 lines
12 KiB
C

/* Copyright (C) 2015 Atsushi Togo */
/* All rights reserved. */
/* This file is part of phonopy. */
/* Redistribution and use in source and binary forms, with or without */
/* modification, are permitted provided that the following conditions */
/* are met: */
/* * Redistributions of source code must retain the above copyright */
/* notice, this list of conditions and the following disclaimer. */
/* * Redistributions in binary form must reproduce the above copyright */
/* notice, this list of conditions and the following disclaimer in */
/* the documentation and/or other materials provided with the */
/* distribution. */
/* * Neither the name of the phonopy project nor the names of its */
/* contributors may be used to endorse or promote products derived */
/* from this software without specific prior written permission. */
/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS */
/* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT */
/* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS */
/* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE */
/* COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, */
/* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER */
/* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT */
/* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN */
/* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
/* POSSIBILITY OF SUCH DAMAGE. */
#include "collision_matrix.h"
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "funcs.h"
#include "phonoc_array.h"
static void get_collision_matrix(
double *collision_matrix, const double *fc3_normal_squared,
const long num_band0, const long num_band, const double *frequencies,
const long (*triplets)[3], const long *triplets_map, const long num_gp,
const long *map_q, const long *rot_grid_points, const long num_ir_gp,
const long num_rot, const double *rotations_cartesian, const double *g,
const double temperature, const double unit_conversion_factor,
const double cutoff_frequency);
static void get_reducible_collision_matrix(
double *collision_matrix, const double *fc3_normal_squared,
const long num_band0, const long num_band, const double *frequencies,
const long (*triplets)[3], const long *triplets_map, const long num_gp,
const long *map_q, const double *g, const double temperature,
const double unit_conversion_factor, const double cutoff_frequency);
static long get_inv_sinh(double *inv_sinh, const long gp,
const double temperature, const double *frequencies,
const long triplet[3], const long *triplets_map,
const long *map_q, const long num_band,
const double cutoff_frequency);
static long *create_gp2tp_map(const long *triplets_map, const long num_gp);
void col_get_collision_matrix(
double *collision_matrix, const Darray *fc3_normal_squared,
const double *frequencies, const long (*triplets)[3],
const long *triplets_map, const long *map_q, const long *rot_grid_points,
const double *rotations_cartesian, const double *g, const long num_ir_gp,
const long num_gp, const long num_rot, const double temperature,
const double unit_conversion_factor, const double cutoff_frequency) {
long num_triplets, num_band0, num_band;
num_triplets = fc3_normal_squared->dims[0];
num_band0 = fc3_normal_squared->dims[1];
num_band = fc3_normal_squared->dims[2];
get_collision_matrix(collision_matrix, fc3_normal_squared->data, num_band0,
num_band, frequencies, triplets, triplets_map, num_gp,
map_q, rot_grid_points, num_ir_gp, num_rot,
rotations_cartesian,
g + 2 * num_triplets * num_band0 * num_band * num_band,
temperature, unit_conversion_factor, cutoff_frequency);
}
void col_get_reducible_collision_matrix(
double *collision_matrix, const Darray *fc3_normal_squared,
const double *frequencies, const long (*triplets)[3],
const long *triplets_map, const long *map_q, const double *g,
const long num_gp, const double temperature,
const double unit_conversion_factor, const double cutoff_frequency) {
long num_triplets, num_band, num_band0;
num_triplets = fc3_normal_squared->dims[0];
num_band0 = fc3_normal_squared->dims[1];
num_band = fc3_normal_squared->dims[2];
get_reducible_collision_matrix(
collision_matrix, fc3_normal_squared->data, num_band0, num_band,
frequencies, triplets, triplets_map, num_gp, map_q,
g + 2 * num_triplets * num_band0 * num_band * num_band, temperature,
unit_conversion_factor, cutoff_frequency);
}
static void get_collision_matrix(
double *collision_matrix, const double *fc3_normal_squared,
const long num_band0, const long num_band, const double *frequencies,
const long (*triplets)[3], const long *triplets_map, const long num_gp,
const long *map_q, const long *rot_grid_points, const long num_ir_gp,
const long num_rot, const double *rotations_cartesian, const double *g,
const double temperature, const double unit_conversion_factor,
const double cutoff_frequency) {
long i, j, k, l, m, n, ti, r_gp, swapped;
long *gp2tp_map;
double collision;
double *inv_sinh;
gp2tp_map = create_gp2tp_map(triplets_map, num_gp);
#ifdef _OPENMP
#pragma omp parallel for private(j, k, l, m, n, ti, r_gp, collision, inv_sinh)
#endif
for (i = 0; i < num_ir_gp; i++) {
inv_sinh = (double *)malloc(sizeof(double) * num_band);
for (j = 0; j < num_rot; j++) {
r_gp = rot_grid_points[i * num_rot + j];
ti = gp2tp_map[triplets_map[r_gp]];
swapped = get_inv_sinh(inv_sinh, r_gp, temperature, frequencies,
triplets[ti], triplets_map, map_q, num_band,
cutoff_frequency);
for (k = 0; k < num_band0; k++) {
for (l = 0; l < num_band; l++) {
collision = 0;
for (m = 0; m < num_band; m++) {
if (swapped) {
collision +=
fc3_normal_squared[ti * num_band0 * num_band *
num_band +
k * num_band * num_band +
m * num_band + l] *
g[ti * num_band0 * num_band * num_band +
k * num_band * num_band + m * num_band + l] *
inv_sinh[m] * unit_conversion_factor;
} else {
collision +=
fc3_normal_squared[ti * num_band0 * num_band *
num_band +
k * num_band * num_band +
l * num_band + m] *
g[ti * num_band0 * num_band * num_band +
k * num_band * num_band + l * num_band + m] *
inv_sinh[m] * unit_conversion_factor;
}
}
for (m = 0; m < 3; m++) {
for (n = 0; n < 3; n++) {
collision_matrix[k * 3 * num_ir_gp * num_band * 3 +
m * num_ir_gp * num_band * 3 +
i * num_band * 3 + l * 3 + n] +=
collision *
rotations_cartesian[j * 9 + m * 3 + n];
}
}
}
}
}
free(inv_sinh);
inv_sinh = NULL;
}
free(gp2tp_map);
gp2tp_map = NULL;
}
static void get_reducible_collision_matrix(
double *collision_matrix, const double *fc3_normal_squared,
const long num_band0, const long num_band, const double *frequencies,
const long (*triplets)[3], const long *triplets_map, const long num_gp,
const long *map_q, const double *g, const double temperature,
const double unit_conversion_factor, const double cutoff_frequency) {
long i, j, k, l, ti, swapped;
long *gp2tp_map;
double collision;
double *inv_sinh;
gp2tp_map = create_gp2tp_map(triplets_map, num_gp);
#ifdef _OPENMP
#pragma omp parallel for private(j, k, l, ti, collision, inv_sinh)
#endif
for (i = 0; i < num_gp; i++) {
inv_sinh = (double *)malloc(sizeof(double) * num_band);
ti = gp2tp_map[triplets_map[i]];
swapped =
get_inv_sinh(inv_sinh, i, temperature, frequencies, triplets[ti],
triplets_map, map_q, num_band, cutoff_frequency);
for (j = 0; j < num_band0; j++) {
for (k = 0; k < num_band; k++) {
collision = 0;
for (l = 0; l < num_band; l++) {
if (swapped) {
collision +=
fc3_normal_squared[ti * num_band0 * num_band *
num_band +
j * num_band * num_band +
l * num_band + k] *
g[ti * num_band0 * num_band * num_band +
j * num_band * num_band + l * num_band + k] *
inv_sinh[l] * unit_conversion_factor;
} else {
collision +=
fc3_normal_squared[ti * num_band0 * num_band *
num_band +
j * num_band * num_band +
k * num_band + l] *
g[ti * num_band0 * num_band * num_band +
j * num_band * num_band + k * num_band + l] *
inv_sinh[l] * unit_conversion_factor;
}
}
collision_matrix[j * num_gp * num_band + i * num_band + k] +=
collision;
}
}
free(inv_sinh);
inv_sinh = NULL;
}
free(gp2tp_map);
gp2tp_map = NULL;
}
static long get_inv_sinh(double *inv_sinh, const long gp,
const double temperature, const double *frequencies,
const long triplet[3], const long *triplets_map,
const long *map_q, const long num_band,
const double cutoff_frequency) {
long i, gp2, swapped;
double f;
/* This assumes the algorithm of get_ir_triplets_at_q_perm_q1q2, */
/* where defined triplets_map[gp] == triplets_map[map_q[gp]]. */
/* If triplets_map[map_q[gp]] != map_q[gp], q1 and q2 are permuted. */
if (triplets_map[gp] == map_q[gp]) {
gp2 = triplet[2];
swapped = 0;
} else {
gp2 = triplet[1];
swapped = 1;
}
for (i = 0; i < num_band; i++) {
f = frequencies[gp2 * num_band + i];
if (f > cutoff_frequency) {
inv_sinh[i] = funcs_inv_sinh_occupation(f, temperature);
} else {
inv_sinh[i] = 0;
}
}
return swapped;
}
/* Symmetrically independent triplets are indexed. */
/* Inverse definition of ir_grid_points in get_BZ_triplets_at_q */
/* in triplet_grid.c. */
static long *create_gp2tp_map(const long *triplets_map, const long num_gp) {
long i, num_ir;
long *gp2tp_map;
gp2tp_map = (long *)malloc(sizeof(long) * num_gp);
num_ir = 0;
for (i = 0; i < num_gp; i++) {
if (triplets_map[i] == i) {
gp2tp_map[i] = num_ir;
num_ir++;
} else { /* This should not be used. */
gp2tp_map[i] = -1;
}
}
return gp2tp_map;
}