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|
/* -*- Mode: C; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*-
*
* Copyright (C) 2007-2008 Richard Hughes <richard@hughsie.com>
* Copyright (C) 2012-2021 MATE Developers
*
* Licensed under the GNU General Public License Version 2
*
* This program 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 2 of the License, or
* (at your option) any later version.
*
* This program 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 this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include "config.h"
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unistd.h>
#include <glib.h>
#include "egg-array-float.h"
/**
* egg_array_float_guassian_value:
*
* @x: input value
* @sigma: sigma value
* Return value: the gaussian, in floating point precision
**/
static gfloat
egg_array_float_guassian_value (gfloat x, gfloat sigma)
{
return (1.0 / (sqrtf(2.0*3.1415927) * sigma)) * (expf((-(powf(x,2.0)))/(2.0 * powf(sigma, 2.0))));
}
/**
* egg_array_float_new:
*
* @length: length of array
* Return value: Allocate array
*
* Creates a new size array which is zeroed. Free with g_array_free();
**/
EggArrayFloat *
egg_array_float_new (guint length)
{
guint i;
EggArrayFloat *array;
array = g_array_sized_new (TRUE, FALSE, sizeof(gfloat), length);
array->len = length;
/* clear to 0.0 */
for (i=0; i<length; i++)
g_array_index (array, gfloat, i) = 0.0;
return array;
}
/**
* egg_array_float_get:
*
* @array: input array
**/
gfloat
egg_array_float_get (EggArrayFloat *array, guint i)
{
if (i >= array->len)
g_error ("above index! (%i)", i);
return g_array_index (array, gfloat, i);
}
/**
* egg_array_float_set:
*
* @array: input array
**/
void
egg_array_float_set (EggArrayFloat *array, guint i, gfloat value)
{
g_array_index (array, gfloat, i) = value;
}
/**
* egg_array_float_free:
*
* @array: input array
*
* Frees the array, deallocating data
**/
void
egg_array_float_free (EggArrayFloat *array)
{
if (array != NULL)
g_array_free (array, TRUE);
}
/**
* egg_array_float_get_average:
* @array: This class instance
*
* Gets the average value.
**/
gfloat
egg_array_float_get_average (EggArrayFloat *array)
{
guint i;
guint length;
gfloat average = 0;
length = array->len;
for (i=0; i<length; i++)
average += g_array_index (array, gfloat, i);
return average / (gfloat) length;
}
/**
* egg_array_float_compute_gaussian:
*
* @length: length of output array
* @sigma: sigma value
* Return value: Gaussian array
*
* Create a set of Gaussian array of a specified size
**/
EggArrayFloat *
egg_array_float_compute_gaussian (guint length, gfloat sigma)
{
EggArrayFloat *array;
guint half_length;
guint i;
gfloat division;
gfloat value;
g_return_val_if_fail (length % 2 == 1, NULL);
array = egg_array_float_new (length);
/* array positions 0..length, has to be an odd number */
half_length = (length / 2) + 1;
for (i=0; i<half_length; i++) {
division = half_length - (i + 1);
g_debug ("half_length=%i, div=%f, sigma=%f", half_length, division, sigma);
g_array_index (array, gfloat, i) = egg_array_float_guassian_value (division, sigma);
}
/* no point working these out, we can just reflect the gaussian */
for (i=half_length; i<length; i++) {
division = g_array_index (array, gfloat, length-(i+1));
g_array_index (array, gfloat, i) = division;
}
/* make sure we get an accurate gaussian */
value = egg_array_float_sum (array);
if (fabs (value - 1.0f) > 0.01f) {
g_warning ("got wrong sum (%f), perhaps sigma too high for size?", value);
egg_array_float_free (array);
array = NULL;
}
return array;
}
/**
* egg_array_float_sum:
*
* @array: input array
*
* Sum the elements of the array
**/
gfloat
egg_array_float_sum (EggArrayFloat *array)
{
guint length;
guint i;
gfloat total = 0;
length = array->len;
for (i=0; i<length; i++)
total += g_array_index (array, gfloat, i);
return total;
}
/**
* egg_array_float_print:
*
* @array: input array
*
* Print the array
**/
gboolean
egg_array_float_print (EggArrayFloat *array)
{
guint length;
guint i;
length = array->len;
/* debug out */
for (i=0; i<length; i++)
g_debug ("[%i]\tval=%f", i, g_array_index (array, gfloat, i));
return TRUE;
}
/**
* egg_array_float_convolve:
*
* @data: input array
* @kernel: kernel array
* Return value: Colvolved array, same length as data
*
* Convolves an array with a kernel, and returns an array the same size.
* THIS FUNCTION IS REALLY SLOW...
**/
EggArrayFloat *
egg_array_float_convolve (EggArrayFloat *data, EggArrayFloat *kernel)
{
gint length_data;
gint length_kernel;
EggArrayFloat *result;
gfloat value;
gint i;
gint j;
gint idx;
length_data = data->len;
length_kernel = kernel->len;
result = egg_array_float_new (length_data);
/* convolve */
for (i=0;i<length_data;i++) {
value = 0;
for (j=0;j<length_kernel;j++) {
idx = i+j-(length_kernel/2);
if (idx < 0)
idx = 0;
else if (idx >= length_data)
idx = length_data - 1;
value += g_array_index (data, gfloat, idx) * g_array_index (kernel, gfloat, j);
}
g_array_index (result, gfloat, i) = value;
}
return result;
}
/**
* egg_array_float_compute_integral:
* @array: This class instance
*
* Computes complete discrete integral of dataset.
* Will only work with a step size of one.
**/
gfloat
egg_array_float_compute_integral (EggArrayFloat *array, guint x1, guint x2)
{
gfloat value;
guint i;
g_return_val_if_fail (x2 >= x1, 0.0);
/* if the same point, then we have no area */
if (x1 == x2)
return 0.0;
value = 0.0;
for (i=x1; i <= x2; i++)
value += g_array_index (array, gfloat, i);
return value;
}
/**
* powfi:
**/
static gfloat
powfi (gfloat base, guint n)
{
guint i;
gfloat retval = 1;
for (i=1; i <= n; i++)
retval *= base;
return retval;
}
/**
* egg_array_float_remove_outliers:
*
* @data: input array
* @size: size to analyse
* @sigma: sigma for standard deviation
* Return value: Data with outliers removed
*
* Compares local sections of the data, removing outliers if they fall
* outside of sigma, and using the average of the other points in its place.
**/
EggArrayFloat *
egg_array_float_remove_outliers (EggArrayFloat *data, guint length, gfloat sigma)
{
guint i;
guint j;
guint half_length;
gfloat value;
gfloat average;
gfloat average_not_inc;
gfloat average_square;
gfloat biggest_difference;
gfloat outlier_value;
EggArrayFloat *result;
g_return_val_if_fail (length % 2 == 1, NULL);
result = egg_array_float_new (data->len);
/* check for no data */
if (data->len == 0)
goto out;
half_length = (length - 1) / 2;
/* copy start and end of array */
for (i=0; i < half_length; i++)
g_array_index (result, gfloat, i) = g_array_index (data, gfloat, i);
for (i=data->len-half_length; i < data->len; i++)
g_array_index (result, gfloat, i) = g_array_index (data, gfloat, i);
/* find the standard deviation of a block off data */
for (i=half_length; i < data->len-half_length; i++) {
average = 0;
average_square = 0;
/* find the average and the squared average */
for (j=i-half_length; j<i+half_length+1; j++) {
value = g_array_index (data, gfloat, j);
average += value;
average_square += powfi (value, 2);
}
/* divide by length to get average */
average /= length;
average_square /= length;
/* find the standard deviation */
value = sqrtf (average_square - powfi (average, 2));
/* stddev is okay */
if (value < sigma) {
g_array_index (result, gfloat, i) = g_array_index (data, gfloat, i);
} else {
/* ignore the biggest difference from the average */
biggest_difference = 0;
outlier_value = 0;
for (j=i-half_length; j<i+half_length+1; j++) {
value = fabs (g_array_index (data, gfloat, j) - average);
if (value > biggest_difference) {
biggest_difference = value;
outlier_value = g_array_index (data, gfloat, j);
}
}
average_not_inc = (average * length) - outlier_value;
average_not_inc /= length - 1;
g_array_index (result, gfloat, i) = average_not_inc;
}
}
out:
return result;
}
/***************************************************************************
*** MAKE CHECK TESTS ***
***************************************************************************/
#ifdef EGG_TEST
#include "egg-test.h"
void
egg_array_float_test (gpointer data)
{
EggArrayFloat *array;
EggArrayFloat *kernel;
EggArrayFloat *result;
gfloat value;
gfloat sigma;
guint size;
EggTest *test = (EggTest *) data;
if (egg_test_start (test, "EggArrayFloat") == FALSE)
return;
/************************************************************/
egg_test_title (test, "make sure we get a non null array");
array = egg_array_float_new (10);
if (array != NULL)
egg_test_success (test, "got EggArrayFloat");
else
egg_test_failed (test, "could not get EggArrayFloat");
egg_array_float_print (array);
egg_array_float_free (array);
/************************************************************/
egg_test_title (test, "make sure we get the correct length array");
array = egg_array_float_new (10);
if (array->len == 10)
egg_test_success (test, "got correct size");
else
egg_test_failed (test, "got wrong size");
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum");
value = egg_array_float_sum (array);
if (value == 0.0)
egg_test_success (test, "got correct sum");
else
egg_test_failed (test, "got wrong sum (%f)", value);
/************************************************************/
egg_test_title (test, "remove outliers");
egg_array_float_set (array, 0, 30.0);
egg_array_float_set (array, 1, 29.0);
egg_array_float_set (array, 2, 31.0);
egg_array_float_set (array, 3, 33.0);
egg_array_float_set (array, 4, 100.0);
egg_array_float_set (array, 5, 27.0);
egg_array_float_set (array, 6, 30.0);
egg_array_float_set (array, 7, 29.0);
egg_array_float_set (array, 8, 31.0);
egg_array_float_set (array, 9, 30.0);
kernel = egg_array_float_remove_outliers (array, 3, 10.0);
if (kernel != NULL && kernel->len == 10)
egg_test_success (test, "got correct length outlier array");
else
egg_test_failed (test, "got gaussian array length (%i)", array->len);
egg_array_float_print (array);
egg_array_float_print (kernel);
/************************************************************/
egg_test_title (test, "make sure we removed the outliers");
value = egg_array_float_sum (kernel);
if (fabs(value - 30*10) < 1)
egg_test_success (test, "got sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
egg_array_float_free (kernel);
/************************************************************/
egg_test_title (test, "remove outliers step");
egg_array_float_set (array, 0, 0.0);
egg_array_float_set (array, 1, 0.0);
egg_array_float_set (array, 2, 0.0);
egg_array_float_set (array, 3, 0.0);
egg_array_float_set (array, 4, 0.0);
egg_array_float_set (array, 5, 0.0);
egg_array_float_set (array, 6, 0.0);
egg_array_float_set (array, 7, 10.0);
egg_array_float_set (array, 8, 20.0);
egg_array_float_set (array, 9, 50.0);
kernel = egg_array_float_remove_outliers (array, 3, 20.0);
if (kernel != NULL && kernel->len == 10)
egg_test_success (test, "got correct length outlier array");
else
egg_test_failed (test, "got gaussian array length (%i)", array->len);
egg_array_float_print (array);
egg_array_float_print (kernel);
/************************************************************/
egg_test_title (test, "make sure we removed the outliers");
value = egg_array_float_sum (kernel);
if (fabs(value - 80) < 1)
egg_test_success (test, "got sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
egg_array_float_free (kernel);
/************************************************************/
egg_test_title (test, "get gaussian 0.0, sigma 1.1");
value = egg_array_float_guassian_value (0.0, 1.1);
if (fabs (value - 0.36267) < 0.0001)
egg_test_success (test, "got correct gaussian");
else
egg_test_failed (test, "got wrong gaussian (%f)", value);
/************************************************************/
egg_test_title (test, "get gaussian 0.5, sigma 1.1");
value = egg_array_float_guassian_value (0.5, 1.1);
if (fabs (value - 0.32708) < 0.0001)
egg_test_success (test, "got correct gaussian");
else
egg_test_failed (test, "got wrong gaussian (%f)", value);
/************************************************************/
egg_test_title (test, "get gaussian 1.0, sigma 1.1");
value = egg_array_float_guassian_value (1.0, 1.1);
if (fabs (value - 0.23991) < 0.0001)
egg_test_success (test, "got correct gaussian");
else
egg_test_failed (test, "got wrong gaussian (%f)", value);
/************************************************************/
egg_test_title (test, "get gaussian 0.5, sigma 4.5");
value = egg_array_float_guassian_value (0.5, 4.5);
if (fabs (value - 0.088108) < 0.0001)
egg_test_success (test, "got correct gaussian");
else
egg_test_failed (test, "got wrong gaussian (%f)", value);
/************************************************************/
size = 5;
sigma = 1.1;
egg_test_title (test, "get inprecise gaussian array (%i), sigma %f", size, sigma);
kernel = egg_array_float_compute_gaussian (size, sigma);
if (kernel == NULL)
egg_test_success (test, NULL);
else {
egg_test_failed (test, "got gaussian array length (%i)", array->len);
egg_array_float_print (kernel);
}
/************************************************************/
size = 9;
sigma = 1.1;
egg_test_title (test, "get gaussian-9 array (%i), sigma %f", size, sigma);
kernel = egg_array_float_compute_gaussian (size, sigma);
if (kernel != NULL && kernel->len == size)
egg_test_success (test, "got correct length gaussian array");
else
egg_test_failed (test, "got gaussian array length (%i)", array->len);
egg_array_float_print (kernel);
/************************************************************/
egg_test_title (test, "make sure we get an accurate gaussian");
value = egg_array_float_sum (kernel);
if (fabs(value - 1.0) < 0.01)
egg_test_success (test, "got sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
/************************************************************/
egg_test_title (test, "make sure we get get and set");
egg_array_float_set (array, 4, 100.0);
value = egg_array_float_get (array, 4);
if (value == 100.0)
egg_test_success (test, "got value okay", value);
else
egg_test_failed (test, "got wrong value (%f)", value);
egg_array_float_print (array);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum (2)");
egg_array_float_set (array, 0, 20.0);
egg_array_float_set (array, 1, 44.0);
egg_array_float_set (array, 2, 45.0);
egg_array_float_set (array, 3, 89.0);
egg_array_float_set (array, 4, 100.0);
egg_array_float_set (array, 5, 12.0);
egg_array_float_set (array, 6, 76.0);
egg_array_float_set (array, 7, 78.0);
egg_array_float_set (array, 8, 1.20);
egg_array_float_set (array, 9, 3.0);
value = egg_array_float_sum (array);
if (fabs (value - 468.2) < 0.0001f)
egg_test_success (test, "got correct sum");
else
egg_test_failed (test, "got wrong sum (%f)", value);
/************************************************************/
egg_test_title (test, "test convolving with kernel #1");
egg_array_float_set (array, 0, 0.0);
egg_array_float_set (array, 1, 0.0);
egg_array_float_set (array, 2, 0.0);
egg_array_float_set (array, 3, 0.0);
egg_array_float_set (array, 4, 100.0);
egg_array_float_set (array, 5, 0.0);
egg_array_float_set (array, 6, 0.0);
egg_array_float_set (array, 7, 0.0);
egg_array_float_set (array, 8, 0.0);
egg_array_float_set (array, 9, 0.0);
result = egg_array_float_convolve (array, kernel);
if (result->len == 10)
egg_test_success (test, "got correct size convolve product");
else
egg_test_failed (test, "got correct size convolve product (%f)", result->len);
egg_array_float_print (result);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum of convolve #1");
value = egg_array_float_sum (result);
if (fabs(value - 100.0) < 5.0)
egg_test_success (test, "got correct (enough) sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
egg_array_float_free (result);
/************************************************************/
egg_test_title (test, "test convolving with kernel #2");
egg_array_float_set (array, 0, 100.0);
egg_array_float_set (array, 1, 0.0);
egg_array_float_set (array, 2, 0.0);
egg_array_float_set (array, 3, 0.0);
egg_array_float_set (array, 4, 0.0);
egg_array_float_set (array, 5, 0.0);
egg_array_float_set (array, 6, 0.0);
egg_array_float_set (array, 7, 0.0);
egg_array_float_set (array, 8, 0.0);
egg_array_float_set (array, 9, 0.0);
result = egg_array_float_convolve (array, kernel);
if (result->len == 10)
egg_test_success (test, "got correct size convolve product");
else
egg_test_failed (test, "got correct size convolve product (%f)", result->len);
egg_array_float_print (array);
egg_array_float_print (result);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum of convolve #2");
value = egg_array_float_sum (result);
if (fabs(value - 100.0) < 10.0)
egg_test_success (test, "got correct (enough) sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
egg_array_float_free (result);
/************************************************************/
egg_test_title (test, "test convolving with kernel #3");
egg_array_float_set (array, 0, 0.0);
egg_array_float_set (array, 1, 0.0);
egg_array_float_set (array, 2, 0.0);
egg_array_float_set (array, 3, 0.0);
egg_array_float_set (array, 4, 0.0);
egg_array_float_set (array, 5, 0.0);
egg_array_float_set (array, 6, 0.0);
egg_array_float_set (array, 7, 0.0);
egg_array_float_set (array, 8, 0.0);
egg_array_float_set (array, 9, 100.0);
result = egg_array_float_convolve (array, kernel);
if (result->len == 10)
egg_test_success (test, "got correct size convolve product");
else
egg_test_failed (test, "got correct size convolve product (%f)", result->len);
egg_array_float_print (array);
egg_array_float_print (result);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum of convolve #3");
value = egg_array_float_sum (result);
if (fabs(value - 100.0) < 10.0)
egg_test_success (test, "got correct (enough) sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
egg_array_float_free (result);
/************************************************************/
egg_test_title (test, "test convolving with kernel #4");
egg_array_float_set (array, 0, 10.0);
egg_array_float_set (array, 1, 10.0);
egg_array_float_set (array, 2, 10.0);
egg_array_float_set (array, 3, 10.0);
egg_array_float_set (array, 4, 10.0);
egg_array_float_set (array, 5, 10.0);
egg_array_float_set (array, 6, 10.0);
egg_array_float_set (array, 7, 10.0);
egg_array_float_set (array, 8, 10.0);
egg_array_float_set (array, 9, 10.0);
result = egg_array_float_convolve (array, kernel);
if (result->len == 10)
egg_test_success (test, "got correct size convolve product");
else
egg_test_failed (test, "got incorrect size convolve product (%f)", result->len);
egg_array_float_print (array);
egg_array_float_print (result);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum of convolve #4");
value = egg_array_float_sum (result);
if (fabs(value - 100.0) < 1.0)
egg_test_success (test, "got correct (enough) sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
/************************************************************/
egg_test_title (test, "test convolving with kernel #5");
egg_array_float_set (array, 0, 10.0);
egg_array_float_set (array, 1, 10.0);
egg_array_float_set (array, 2, 10.0);
egg_array_float_set (array, 3, 10.0);
egg_array_float_set (array, 4, 0.0);
egg_array_float_set (array, 5, 10.0);
egg_array_float_set (array, 6, 10.0);
egg_array_float_set (array, 7, 10.0);
egg_array_float_set (array, 8, 10.0);
egg_array_float_set (array, 9, 10.0);
result = egg_array_float_convolve (array, kernel);
if (result->len == 10)
egg_test_success (test, "got correct size convolve product");
else
egg_test_failed (test, "got incorrect size convolve product (%f)", result->len);
egg_array_float_print (array);
egg_array_float_print (result);
/************************************************************/
egg_test_title (test, "make sure we get the correct array sum of convolve #5");
value = egg_array_float_sum (result);
if (fabs(value - 90.0) < 1.0)
egg_test_success (test, "got correct (enough) sum (%f)", value);
else
egg_test_failed (test, "got wrong sum (%f)", value);
/*************** INTEGRATION TEST ************************/
egg_test_title (test, "integration down");
egg_array_float_set (array, 0, 0.0);
egg_array_float_set (array, 1, 1.0);
egg_array_float_set (array, 2, 2.0);
egg_array_float_set (array, 3, 3.0);
egg_array_float_set (array, 4, 4.0);
egg_array_float_set (array, 5, 5.0);
egg_array_float_set (array, 6, 6.0);
egg_array_float_set (array, 7, 7.0);
egg_array_float_set (array, 8, 8.0);
egg_array_float_set (array, 9, 9.0);
size = egg_array_float_compute_integral (array, 0, 4);
if (size == 0+1+2+3+4)
egg_test_success (test, "intergrated okay");
else
egg_test_failed (test, "did not intergrated okay (%i)", size);
egg_test_title (test, "integration up");
size = egg_array_float_compute_integral (array, 5, 9);
if (size == 5+6+7+8+9)
egg_test_success (test, "intergrated okay");
else
egg_test_failed (test, "did not intergrated okay (%i)", size);
egg_test_title (test, "integration all");
size = egg_array_float_compute_integral (array, 0, 9);
if (size == 0+1+2+3+4+5+6+7+8+9)
egg_test_success (test, "intergrated okay");
else
egg_test_failed (test, "did not intergrated okay (%i)", size);
/*************** AVERAGE TEST ************************/
egg_test_title (test, "average");
egg_array_float_set (array, 0, 0.0);
egg_array_float_set (array, 1, 1.0);
egg_array_float_set (array, 2, 2.0);
egg_array_float_set (array, 3, 3.0);
egg_array_float_set (array, 4, 4.0);
egg_array_float_set (array, 5, 5.0);
egg_array_float_set (array, 6, 6.0);
egg_array_float_set (array, 7, 7.0);
egg_array_float_set (array, 8, 8.0);
egg_array_float_set (array, 9, 9.0);
value = egg_array_float_get_average (array);
if (value == 4.5)
egg_test_success (test, "averaged okay");
else
egg_test_failed (test, "did not average okay (%i)", value);
egg_array_float_free (result);
egg_array_float_free (array);
egg_array_float_free (kernel);
egg_test_end (test);
}
#endif
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