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|
/*
* utils.c
*
* Utility stuff
*
* Copyright © 2012-2021 Deutsches Elektronen-Synchrotron DESY,
* a research centre of the Helmholtz Association.
*
* Authors:
* 2009-2020 Thomas White <taw@physics.org>
*
* This file is part of CrystFEL.
*
* CrystFEL is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* CrystFEL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with CrystFEL. If not, see <http://www.gnu.org/licenses/>.
*
*/
#include <libcrystfel-config.h>
#include <libgen.h>
#include <math.h>
#include <string.h>
#include <stdio.h>
#include <stdarg.h>
#include <unistd.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_blas.h>
#include <gsl/gsl_linalg.h>
#include <gsl/gsl_eigen.h>
#include <assert.h>
#include "utils.h"
#include "image.h"
/** \file utils.h */
/**
* \param M A matrix
* \param v A vector
*
* Displays a matrix equation of the form \p M.a = \p v.
**/
void show_matrix_eqn(gsl_matrix *M, gsl_vector *v)
{
int i, j;
if ( M->size1 != v->size ) {
ERROR("Matrix and vector sizes don't agree.\n");
return;
}
for ( i=0; i<M->size1; i++ ) {
STATUS("[ ");
for ( j=0; j<M->size2; j++ ) {
STATUS("%+9.3e ", gsl_matrix_get(M, i, j));
}
if ( i < M->size2 ) {
STATUS("][ a%2i ] = [ %+9.3e ]\n", i,
gsl_vector_get(v, i));
} else {
STATUS("] = [ +%9.3e ]\n", gsl_vector_get(v, i));
}
}
}
/**
* \param M A matrix
*
* Displays a matrix.
**/
void show_matrix(gsl_matrix *M)
{
int i, j;
for ( i=0; i<M->size1; i++ ) {
STATUS("[ ");
for ( j=0; j<M->size2; j++ ) {
STATUS("%+9.3e ", gsl_matrix_get(M, i, j));
}
STATUS("]\n");
}
}
static int check_eigen(gsl_vector *e_val, int verbose)
{
int i;
double vmax, vmin;
const int n = e_val->size;
const double max_condition = 1e6;
int n_filt = 0;
if ( verbose ) STATUS("Eigenvalues:\n");
vmin = +INFINITY;
vmax = 0.0;
for ( i=0; i<n; i++ ) {
double val = gsl_vector_get(e_val, i);
if ( verbose ) STATUS("%i: %e\n", i, val);
if ( val > vmax ) vmax = val;
if ( val < vmin ) vmin = val;
}
for ( i=0; i<n; i++ ) {
double val = gsl_vector_get(e_val, i);
if ( val < vmax/max_condition ) {
gsl_vector_set(e_val, i, 0.0);
n_filt++;
}
}
vmin = +INFINITY;
vmax = 0.0;
for ( i=0; i<n; i++ ) {
double val = gsl_vector_get(e_val, i);
if ( val == 0.0 ) continue;
if ( val > vmax ) vmax = val;
if ( val < vmin ) vmin = val;
}
if ( verbose ) {
STATUS("Condition number: %e / %e = %5.2f\n",
vmax, vmin, vmax/vmin);
STATUS("%i out of %i eigenvalues filtered.\n", n_filt, n);
}
return n_filt;
}
/**
* \param v a gsl_vector
* \param M a gsl_matrix
* \param pn_filt pointer to store the number of filtered eigenvalues
* \param verbose flag for verbosity on the terminal
*
* Solves the matrix equation M.x = v, returning x.
* Performs rescaling and eigenvalue filtering.
**/
gsl_vector *solve_svd(gsl_vector *v, gsl_matrix *M, int *pn_filt, int verbose)
{
gsl_matrix *s_vec;
gsl_vector *s_val;
int err, n;
gsl_vector *shifts;
gsl_vector *SB;
gsl_vector *SinvX;
gsl_matrix *S; /* rescaling matrix due to Bricogne */
gsl_matrix *AS;
gsl_matrix *SAS;
int i;
int n_filt;
gsl_matrix *SAS_copy;
n = v->size;
if ( v->size != M->size1 ) return NULL;
if ( v->size != M->size2 ) return NULL;
/* Calculate the rescaling matrix S */
S = gsl_matrix_calloc(n, n);
for ( i=0; i<n; i++ ) {
double sii = pow(gsl_matrix_get(M, i, i), -0.5);
gsl_matrix_set(S, i, i, sii);
}
/* Calculate the matrix SAS, which we will be (not) inverting */
AS = gsl_matrix_calloc(n, n);
SAS = gsl_matrix_calloc(n, n);
gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, M, S, 0.0, AS);
gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, S, AS, 0.0, SAS);
gsl_matrix_free(AS);
/* Calculate the vector SB, which is the RHS of the equation */
SB = gsl_vector_calloc(n);
gsl_blas_dgemv(CblasNoTrans, 1.0, S, v, 0.0, SB);
if ( verbose ) {
STATUS("The equation after rescaling:\n");
show_matrix_eqn(SAS, SB);
}
SAS_copy = gsl_matrix_alloc(SAS->size1, SAS->size2);
gsl_matrix_memcpy(SAS_copy, SAS);
for ( i=0; i<n; i++ ) {
int j;
if ( isnan(gsl_vector_get(SB, i)) ) gsl_vector_set(SB, i, 0.0);
for ( j=0; j<n; j++ ) {
if ( isnan(gsl_matrix_get(SAS, i, j)) ) {
gsl_matrix_set(SAS, i, j, 0.0);
}
}
}
/* Do the SVD */
s_val = gsl_vector_calloc(n);
s_vec = gsl_matrix_calloc(n, n);
err = gsl_linalg_SV_decomp_jacobi(SAS, s_vec, s_val);
if ( err ) {
if ( verbose ) ERROR("SVD failed: %s\n", gsl_strerror(err));
gsl_matrix_free(s_vec);
gsl_vector_free(s_val);
gsl_matrix_free(SAS);
gsl_matrix_free(S);
return NULL;
}
/* "SAS" is now "U" */
/* Filter the eigenvalues */
n_filt = check_eigen(s_val, verbose);
if ( pn_filt != NULL ) *pn_filt = n_filt;
gsl_matrix_free(SAS_copy);
/* Solve the equation SAS.SinvX = SB */
SinvX = gsl_vector_calloc(n);
err = gsl_linalg_SV_solve(SAS, s_vec, s_val, SB, SinvX);
gsl_vector_free(SB);
gsl_matrix_free(SAS);
gsl_matrix_free(s_vec);
gsl_vector_free(s_val);
if ( err ) {
ERROR("Matrix solution failed: %s\n", gsl_strerror(err));
gsl_matrix_free(S);
gsl_vector_free(SinvX);
return NULL;
}
/* Calculate S.SinvX to get X, the shifts */
shifts = gsl_vector_calloc(n);
gsl_blas_dgemv(CblasNoTrans, 1.0, S, SinvX, 0.0, shifts);
gsl_matrix_free(S);
gsl_vector_free(SinvX);
return shifts;
}
/* ------------------------------ Message logging ---------------------------- */
/* Lock to keep lines serialised on the terminal */
pthread_mutex_t stderr_lock = PTHREAD_MUTEX_INITIALIZER;
static void log_to_stderr(enum log_msg_type type, const char *msg,
void *vp)
{
int error_print_val = get_status_label();
pthread_mutex_lock(&stderr_lock);
if ( error_print_val >= 0 ) {
fprintf(stderr, "%3i: ", error_print_val);
}
fprintf(stderr, "%s", msg);
pthread_mutex_unlock(&stderr_lock);
}
/* Function to call with ERROR/STATUS messages */
LogMsgFunc log_msg_func = log_to_stderr;
void *log_msg_vp = NULL;
void set_log_message_func(LogMsgFunc new_log_msg_func, void *vp)
{
log_msg_func = new_log_msg_func;
log_msg_vp = vp;
}
void STATUS(const char *format, ...)
{
va_list args;
char tmp[1024];
va_start(args, format);
vsnprintf(tmp, 1024, format, args);
va_end(args);
log_msg_func(LOG_MSG_STATUS, tmp, log_msg_vp);
}
void ERROR(const char *format, ...)
{
va_list args;
char tmp[1024];
va_start(args, format);
vsnprintf(tmp, 1024, format, args);
va_end(args);
log_msg_func(LOG_MSG_ERROR, tmp, log_msg_vp);
}
/* ------------------------------ Useful functions ---------------------------- */
int convert_int(const char *str, int *pval)
{
long int val;
char *rval;
val = strtol(str, &rval, 10);
if ( *rval != '\0' ) {
return 1;
} else {
*pval = val;
return 0;
}
}
int convert_float(const char *str, double *pval)
{
double val;
char *rval;
val = strtod(str, &rval);
if ( *rval != '\0' ) {
return 1;
} else {
*pval = val;
return 0;
}
}
size_t notrail(char *s)
{
ssize_t i;
size_t munched = 0;
for ( i=strlen(s)-1; i>=0; i-- ) {
if ( (s[i] == ' ') || (s[i] == '\t') ) {
s[i] = '\0';
munched++;
} else {
return munched;
}
}
return munched;
}
void chomp(char *s)
{
size_t i;
size_t len;
if ( s == NULL ) return;
len = strlen(s);
for ( i=0; i<len; i++ ) {
if ( (s[i] == '\n') || (s[i] == '\r') ) {
s[i] = '\0';
return;
}
}
}
void progress_bar(int val, int total, const char *text)
{
double frac;
int n, i;
char s[1024];
const int width = 50;
if ( total == 0 ) return;
if ( !isatty(STDERR_FILENO) ) return;
if ( tcgetpgrp(STDERR_FILENO) != getpgrp() ) return;
frac = (double)val/total;
n = (int)(frac*width);
for ( i=0; i<n; i++ ) s[i] = '=';
for ( i=n; i<width; i++ ) s[i] = '.';
s[width] = '\0';
pthread_mutex_lock(&stderr_lock);
fprintf(stderr, "\r%s: |%s|", text, s);
if ( val == total ) fprintf(stderr, "\n");
pthread_mutex_unlock(&stderr_lock);
fflush(stdout);
}
double random_flat(gsl_rng *rng, double max)
{
return max * gsl_rng_uniform(rng);
}
double flat_noise(gsl_rng *rng, double expected, double width)
{
double noise = random_flat(rng, 2.0*width);
return expected+noise-width;
}
double gaussian_noise(gsl_rng *rng, double expected, double stddev)
{
double x1, x2, noise;
/* Generate two uniformly distributed random numbers between 0 and 1,
* including 1 but not 0. */
x1 = 1.0 - gsl_rng_uniform(rng);
x2 = 1.0 - gsl_rng_uniform(rng);
noise = sqrt(-2.0*log(x1)) * cos(2.0*M_PI*x2);
return expected + noise*stddev;
}
static int fake_poisson_noise(gsl_rng *rng, double expected)
{
double rf = gaussian_noise(rng, expected, sqrt(expected));
return (int)rf;
}
int poisson_noise(gsl_rng *rng, double expected)
{
double L;
int k = 0;
double p = 1.0;
/* For large values of the mean, we get big problems with arithmetic.
* In such cases, fall back on a Gaussian with the right variance. */
if ( expected > 100.0 ) return fake_poisson_noise(rng, expected);
L = exp(-expected);
do {
double r;
k++;
r = gsl_rng_uniform(rng);
p *= r;
} while ( p > L );
return k - 1;
}
/* Return non-zero if c is in delims */
static int assplode_isdelim(const char c, const char *delims)
{
size_t i;
for ( i=0; i<strlen(delims); i++ ) {
if ( c == delims[i] ) return 1;
}
return 0;
}
static int assplode_extract(char ***pbits, int n, size_t n_captured,
size_t start, const char *a)
{
char **bits = *pbits;
bits = realloc(bits, sizeof(char *)*(n+1));
assert(bits != NULL);
bits[n] = malloc(n_captured+1);
assert(bits[n] != NULL);
memcpy(bits[n], a+start, n_captured);
bits[n][n_captured] = '\0';
n++;
*pbits = bits;
return n;
}
/**
* Split the string 'a' using 'delims' as a zero-terminated list of
* deliminators.
* Store each segment in bits[0...n] where n is the number of segments and is
* the return value. pbits = &bits
* Each segment needs to be freed with free() when finished with.
* The array of bits also needs to be freed with free() when finished with,
* unless n=0 in which case bits==NULL
*/
int assplode(const char *a, const char *delims, char ***pbits,
AssplodeFlag flags)
{
size_t i, start, n_captured;
int n, last_was_delim;
char **bits;
n = 0;
i = 0;
n_captured = 0;
start = 0;
last_was_delim = 0;
bits = NULL;
while ( i < strlen(a) ) {
if ( assplode_isdelim(a[i], delims) ) {
if ( n_captured > 0 ) {
/* This is a deliminator after a sequence of
* non-deliminator chars */
n = assplode_extract(&bits, n, n_captured,
start, a);
}
n_captured = 0;
if ( (flags & ASSPLODE_DUPS) && last_was_delim ) {
n = assplode_extract(&bits, n, 0, start, a);
}
last_was_delim = 1;
} else {
if ( n_captured == 0 ) {
/* No characters currently found, so this is the
* start */
start = i;
}
n_captured++;
last_was_delim = 0;
}
i++;
}
/* Left over characters at the end? */
if ( n_captured > 0 ) {
n = assplode_extract(&bits, n, n_captured, start, a);
}
*pbits = bits;
return n;
}
char *check_prefix(char *prefix)
{
int r;
struct stat statbuf;
char *new;
size_t len;
if ( prefix[0] == '\0' ) return prefix;
/* Is "prefix" a directory? */
r = stat(prefix, &statbuf);
if ( r != 0 ) {
/* "prefix" probably doesn't exist. This is fine - assume
* the user knows what they're doing, and that "prefix"
* suffixed with the actual filename will produce something
* sensible. */
return prefix;
}
if ( !S_ISDIR(statbuf.st_mode) ) {
/* Also fine, as above. */
return prefix;
}
/* Does the prefix end in a slash? */
if ( prefix[strlen(prefix)-1] == '/' ) {
/* This looks sensible. */
return prefix;
}
STATUS("Your prefix ('%s') is a directory, but doesn't end"
" with a slash. I'm going to add it for you.\n", prefix);
STATUS("If this isn't what you want, run with --no-check-prefix.\n");
len = strlen(prefix)+2;
new = malloc(len);
snprintf(new, len, "%s/", prefix);
free(prefix);
return new;
}
char *safe_strdup(const char *in)
{
if ( in == NULL ) return NULL;
return strdup(in);
}
char *safe_basename(const char *in)
{
int i;
char *cpy;
char *res;
cpy = strdup(in);
/* Get rid of any trailing slashes */
for ( i=strlen(cpy)-1; i>0; i-- ) {
if ( cpy[i] == '/' ) {
cpy[i] = '\0';
} else {
break;
}
}
/* Find the base name */
for ( i=strlen(cpy)-1; i>0; i-- ) {
if ( cpy[i] == '/' ) {
i++;
break;
}
}
res = strdup(cpy+i);
/* If we didn't find a previous slash, i==0 so res==cpy */
free(cpy);
return res;
}
void strip_extension(char *bfn)
{
size_t r = strlen(bfn);
if ( r < 3 ) return;
r -= 1;
while ( r > 1 ) { /* Don't strip down to nothing */
if ( bfn[r] == '.') {
bfn[r] = '\0';
return;
}
r--;
}
}
const char *filename_extension(const char *fn, const char **pext2)
{
const char *ext = NULL;
const char *ext2 = NULL;
size_t r = strlen(fn)-1;
while ( r > 0 ) {
if ( fn[r] == '.' ) {
if ( ext != NULL ) {
ext2 = fn+r;
break;
} else {
ext = fn+r;
}
}
r--;
}
if ( pext2 != NULL ) *pext2 = ext2;
return ext;
}
/* Force the linker to bring in CBLAS to make GSL happy */
void utils_fudge_gslcblas()
{
STATUS("%p\n", cblas_sgemm);
}
/**
* \param q A \ref quaternion
*
* If a quaternion represents a pure rotation, its modulus should be unity.
*
* \returns The modulus of the given quaternion.
**/
double quaternion_modulus(struct quaternion q)
{
return sqrt(q.w*q.w + q.x*q.x + q.y*q.y + q.z*q.z);
}
/**
* \param q A \ref quaternion
*
* Rescales the quaternion such that its modulus is unity.
*
* \returns The normalised version of \p q
**/
struct quaternion normalise_quaternion(struct quaternion q)
{
double mod;
struct quaternion r;
mod = quaternion_modulus(q);
r.w = q.w / mod;
r.x = q.x / mod;
r.y = q.y / mod;
r.z = q.z / mod;
return r;
}
/**
* \param rng A GSL random number generator to use
*
* \returns A randomly generated, normalised, quaternion.
**/
struct quaternion random_quaternion(gsl_rng *rng)
{
struct quaternion q;
q.w = 2.0*gsl_rng_uniform(rng) - 1.0;
q.x = 2.0*gsl_rng_uniform(rng) - 1.0;
q.y = 2.0*gsl_rng_uniform(rng) - 1.0;
q.z = 2.0*gsl_rng_uniform(rng) - 1.0;
q = normalise_quaternion(q);
return q;
}
/**
* \param q A \ref quaternion
*
* Checks if the given quaternion is normalised.
*
* This function performs a nasty floating point comparison of the form
* <code>(modulus > 0.999) && (modulus < 1.001)</code>, and so should not be
* relied upon to spot anything other than the most obvious input error.
*
* \returns 1 if the quaternion is normalised, 0 if not.
**/
int quaternion_valid(struct quaternion q)
{
double qmod;
qmod = quaternion_modulus(q);
/* Modulus = 1 to within some tolerance?
* Nasty allowance for floating-point accuracy follows... */
if ( (qmod > 0.999) && (qmod < 1.001) ) return 1;
return 0;
}
/**
* \param q A vector (in the form of an \ref rvec struct)
* \param z A \ref quaternion
*
* Rotates a vector according to a quaternion.
*
* \returns a rotated version of \p p.
**/
struct rvec quat_rot(struct rvec q, struct quaternion z)
{
struct rvec res;
double t01, t02, t03, t11, t12, t13, t22, t23, t33;
t01 = z.w*z.x;
t02 = z.w*z.y;
t03 = z.w*z.z;
t11 = z.x*z.x;
t12 = z.x*z.y;
t13 = z.x*z.z;
t22 = z.y*z.y;
t23 = z.y*z.z;
t33 = z.z*z.z;
res.u = (1.0 - 2.0 * (t22 + t33)) * q.u
+ (2.0 * (t12 + t03)) * q.v
+ (2.0 * (t13 - t02)) * q.w;
res.v = (2.0 * (t12 - t03)) * q.u
+ (1.0 - 2.0 * (t11 + t33)) * q.v
+ (2.0 * (t01 + t23)) * q.w;
res.w = (2.0 * (t02 + t13)) * q.u
+ (2.0 * (t23 - t01)) * q.v
+ (1.0 - 2.0 * (t11 + t22)) * q.w;
return res;
}
char *load_entire_file(const char *filename)
{
struct stat statbuf;
int r;
char *contents;
FILE *fh;
r = stat(filename, &statbuf);
if ( r != 0 ) {
ERROR("File '%s' not found\n", filename);
return NULL;
}
contents = malloc(statbuf.st_size+1);
if ( contents == NULL ) {
ERROR("Failed to allocate memory for file\n");
return NULL;
}
fh = fopen(filename, "r");
if ( fh == NULL ) {
ERROR("Failed to open file '%s'\n", filename);
free(contents);
return NULL;
}
if ( fread(contents, 1, statbuf.st_size, fh) != statbuf.st_size ) {
ERROR("Failed to read file '%s'\n", filename);
fclose(fh);
free(contents);
return NULL;
}
contents[statbuf.st_size] = '\0';
fclose(fh);
return contents;
}
int file_exists(const char *filename)
{
struct stat statbuf;
int r;
r = stat(filename, &statbuf);
if ( r != 0 ) {
return 0;
}
return 1;
}
int compare_double(const void *av, const void *bv)
{
double a = *(double *)av;
double b = *(double *)bv;
if ( a > b ) return 1;
if ( a < b ) return -1;
return 0;
}
void *srealloc(void *arr, size_t new_size)
{
void *new_arr = realloc(arr, new_size);
if ( new_arr == NULL ) {
free(arr);
return NULL;
} else {
return new_arr;
}
}
/* -------------------------- libcrystfel features ------------------------ */
int crystfel_has_peakfinder9()
{
#ifdef HAVE_FDIP
return 1;
#else
return 0;
#endif
}
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