subsurface/subsurface-core/gaspressures.c
Linus Torvalds 10ae00db3c pressure interpolation: incrementally update interpolation data
Instead of re-calculating all the interpolation data for each plot entry
(which means that we have a quadratic algorithm that walks over all the
plot-info points for each plot-info point), we can just update it
incrementally within any particular interpolation segment.

The previous cleanups made the code sane enough to understand, and makes
it trivial to see how you don't have to recalculate the full thing.

This gets rid of the O(n**2) algorithm, and it instead becomes O(n*m)
where 'n' is the number of plot entries, and 'm' is the number of gas
segments (which is usually a much smaller numer, typically "1").

Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
Signed-off-by: Dirk Hohndel <dirk@hohndel.org>
2016-02-21 16:36:10 -08:00

429 lines
14 KiB
C

/* gaspressures.c
* ---------------
* This file contains the routines to calculate the gas pressures in the cylinders.
* The functions below support the code in profile.c.
* The high-level function is populate_pressure_information(), called by function
* create_plot_info_new() in profile.c. The other functions below are, in turn,
* called by populate_pressure_information(). The calling sequence is as follows:
*
* populate_pressure_information() -> calc_pressure_time()
* -> fill_missing_tank_pressures() -> fill_missing_segment_pressures()
* -> get_pr_interpolate_data()
*
* The pr_track_t related functions below implement a linked list that is used by
* the majority of the functions below. The linked list covers a part of the dive profile
* for which there are no cylinder pressure data. Each element in the linked list
* represents a segment between two consecutive points on the dive profile.
* pr_track_t is defined in gaspressures.h
*/
#include "dive.h"
#include "display.h"
#include "profile.h"
#include "gaspressures.h"
static pr_track_t *pr_track_alloc(int start, int t_start)
{
pr_track_t *pt = malloc(sizeof(pr_track_t));
pt->start = start;
pt->end = 0;
pt->t_start = pt->t_end = t_start;
pt->pressure_time = 0;
pt->next = NULL;
return pt;
}
/* poor man's linked list */
static pr_track_t *list_last(pr_track_t *list)
{
pr_track_t *tail = list;
if (!tail)
return NULL;
while (tail->next) {
tail = tail->next;
}
return tail;
}
static pr_track_t *list_add(pr_track_t *list, pr_track_t *element)
{
pr_track_t *tail = list_last(list);
if (!tail)
return element;
tail->next = element;
return list;
}
static void list_free(pr_track_t *list)
{
if (!list)
return;
list_free(list->next);
free(list);
}
#ifdef DEBUG_PR_TRACK
static void dump_pr_track(pr_track_t **track_pr)
{
int cyl;
pr_track_t *list;
for (cyl = 0; cyl < MAX_CYLINDERS; cyl++) {
list = track_pr[cyl];
while (list) {
printf("cyl%d: start %d end %d t_start %d t_end %d pt %d\n", cyl,
list->start, list->end, list->t_start, list->t_end, list->pressure_time);
list = list->next;
}
}
}
#endif
/*
* This looks at the pressures for one cylinder, and
* calculates any missing beginning/end pressures for
* each segment by taking the over-all SAC-rate into
* account for that cylinder.
*
* NOTE! Many segments have full pressure information
* (both beginning and ending pressure). But if we have
* switched away from a cylinder, we will have the
* beginning pressure for the first segment with a
* missing end pressure. We may then have one or more
* segments without beginning or end pressures, until
* we finally have a segment with an end pressure.
*
* We want to spread out the pressure over these missing
* segments according to how big of a time_pressure area
* they have.
*/
static void fill_missing_segment_pressures(pr_track_t *list, enum interpolation_strategy strategy)
{
double magic;
while (list) {
int start = list->start, end;
pr_track_t *tmp = list;
int pt_sum = 0, pt = 0;
for (;;) {
pt_sum += tmp->pressure_time;
end = tmp->end;
if (end)
break;
end = start;
if (!tmp->next)
break;
tmp = tmp->next;
}
if (!start)
start = end;
/*
* Now 'start' and 'end' contain the pressure values
* for the set of segments described by 'list'..'tmp'.
* pt_sum is the sum of all the pressure-times of the
* segments.
*
* Now dole out the pressures relative to pressure-time.
*/
list->start = start;
tmp->end = end;
switch (strategy) {
case SAC:
for (;;) {
int pressure;
pt += list->pressure_time;
pressure = start;
if (pt_sum)
pressure -= (start - end) * (double)pt / pt_sum;
list->end = pressure;
if (list == tmp)
break;
list = list->next;
list->start = pressure;
}
break;
case TIME:
if (list->t_end && (tmp->t_start - tmp->t_end)) {
magic = (list->t_start - tmp->t_end) / (tmp->t_start - tmp->t_end);
list->end = rint(start - (start - end) * magic);
} else {
list->end = start;
}
break;
case CONSTANT:
list->end = start;
}
/* Ok, we've done that set of segments */
list = list->next;
}
}
#ifdef DEBUG_PR_INTERPOLATE
void dump_pr_interpolate(int i, pr_interpolate_t interpolate_pr)
{
printf("Interpolate for entry %d: start %d - end %d - pt %d - acc_pt %d\n", i,
interpolate_pr.start, interpolate_pr.end, interpolate_pr.pressure_time, interpolate_pr.acc_pressure_time);
}
#endif
static struct pr_interpolate_struct get_pr_interpolate_data(pr_track_t *segment, struct plot_info *pi, int cur)
{ // cur = index to pi->entry corresponding to t_end of segment;
struct pr_interpolate_struct interpolate;
int i;
struct plot_data *entry;
interpolate.start = segment->start;
interpolate.end = segment->end;
interpolate.acc_pressure_time = 0;
interpolate.pressure_time = 0;
for (i = 0; i < pi->nr; i++) {
entry = pi->entry + i;
if (entry->sec < segment->t_start)
continue;
interpolate.pressure_time += entry->pressure_time;
if (entry->sec >= segment->t_end)
break;
if (i <= cur)
interpolate.acc_pressure_time += entry->pressure_time;
}
return interpolate;
}
static void fill_missing_tank_pressures(struct dive *dive, struct plot_info *pi, pr_track_t **track_pr, bool o2_flag)
{
int cyl, i;
struct plot_data *entry;
pr_interpolate_t interpolate = { 0 };
pr_track_t *last_segment = NULL;
int cur_pr[MAX_CYLINDERS]; // cur_pr[MAX_CYLINDERS] is the CCR diluent cylinder
for (cyl = 0; cyl < MAX_CYLINDERS; cyl++) {
enum interpolation_strategy strategy;
if (!track_pr[cyl]) {
/* no segment where this cylinder is used */
cur_pr[cyl] = -1;
continue;
}
if (dive->cylinder[cyl].cylinder_use == OC_GAS)
strategy = SAC;
else
strategy = TIME;
fill_missing_segment_pressures(track_pr[cyl], strategy); // Interpolate the missing tank pressure values ..
cur_pr[cyl] = track_pr[cyl]->start; // in the pr_track_t lists of structures
} // and keep the starting pressure for each cylinder.
#ifdef DEBUG_PR_TRACK
/* another great debugging tool */
dump_pr_track(track_pr);
#endif
/* Transfer interpolated cylinder pressures from pr_track strucktures to plotdata
* Go down the list of tank pressures in plot_info. Align them with the start &
* end times of each profile segment represented by a pr_track_t structure. Get
* the accumulated pressure_depths from the pr_track_t structures and then
* interpolate the pressure where these do not exist in the plot_info pressure
* variables. Pressure values are transferred from the pr_track_t structures
* to the plot_info structure, allowing us to plot the tank pressure.
*
* The first two pi structures are "fillers", but in case we don't have a sample
* at time 0 we need to process the second of them here, therefore i=1 */
for (i = 1; i < pi->nr; i++) { // For each point on the profile:
double magic;
pr_track_t *segment;
int pressure;
int *save_pressure, *save_interpolated;
entry = pi->entry + i;
if (o2_flag) {
// Find the cylinder index (cyl) and pressure
cyl = dive->oxygen_cylinder_index;
if (cyl < 0)
return; // Can we do this?!?
pressure = O2CYLINDER_PRESSURE(entry);
save_pressure = &(entry->o2cylinderpressure[SENSOR_PR]);
save_interpolated = &(entry->o2cylinderpressure[INTERPOLATED_PR]);
} else {
pressure = SENSOR_PRESSURE(entry);
save_pressure = &(entry->pressure[SENSOR_PR]);
save_interpolated = &(entry->pressure[INTERPOLATED_PR]);
cyl = entry->cylinderindex;
}
if (pressure) { // If there is a valid pressure value,
last_segment = NULL; // get rid of interpolation data,
cur_pr[cyl] = pressure; // set current pressure
continue; // and skip to next point.
}
// If there is NO valid pressure value..
// Find the pressure segment corresponding to this entry..
segment = track_pr[cyl];
while (segment && segment->t_end < entry->sec) // Find the track_pr with end time..
segment = segment->next; // ..that matches the plot_info time (entry->sec)
if (!segment || !segment->pressure_time) { // No (or empty) segment?
*save_pressure = cur_pr[cyl]; // Just use our current pressure
continue; // and skip to next point.
}
// If there is a valid segment but no tank pressure ..
if (segment == last_segment) {
interpolate.acc_pressure_time += entry->pressure_time;
} else {
// Set up an interpolation structure
interpolate = get_pr_interpolate_data(segment, pi, i);
last_segment = segment;
}
if(dive->cylinder[cyl].cylinder_use == OC_GAS) {
/* if this segment has pressure_time, then calculate a new interpolated pressure */
if (interpolate.pressure_time) {
/* Overall pressure change over total pressure-time for this segment*/
magic = (interpolate.end - interpolate.start) / (double)interpolate.pressure_time;
/* Use that overall pressure change to update the current pressure */
cur_pr[cyl] = rint(interpolate.start + magic * interpolate.acc_pressure_time);
}
} else {
magic = (interpolate.end - interpolate.start) / (segment->t_end - segment->t_start);
cur_pr[cyl] = rint(segment->start + magic * (entry->sec - segment->t_start));
}
*save_interpolated = cur_pr[cyl]; // and store the interpolated data in plot_info
}
}
/*
* What's the pressure-time between two plot data entries?
* We're calculating the integral of pressure over time by
* adding these up.
*
* The units won't matter as long as everybody agrees about
* them, since they'll cancel out - we use this to calculate
* a constant SAC-rate-equivalent, but we only use it to
* scale pressures, so it ends up being a unitless scaling
* factor.
*/
static inline int calc_pressure_time(struct dive *dive, struct divecomputer *dc, struct plot_data *a, struct plot_data *b)
{
int time = b->sec - a->sec;
int depth = (a->depth + b->depth) / 2;
if (depth <= SURFACE_THRESHOLD)
return 0;
return depth_to_mbar(depth, dive) * time;
}
#ifdef PRINT_PRESSURES_DEBUG
// A CCR debugging tool that prints the gas pressures in cylinder 0 and in the diluent cylinder, used in populate_pressure_information():
static void debug_print_pressures(struct plot_info *pi)
{
int i;
for (i = 0; i < pi->nr; i++) {
struct plot_data *entry = pi->entry + i;
printf("%5d |%9d | %9d || %9d | %9d |\n", i, SENSOR_PRESSURE(entry), INTERPOLATED_PRESSURE(entry), DILUENT_PRESSURE(entry), INTERPOLATED_DILUENT_PRESSURE(entry));
}
}
#endif
/* This function goes through the list of tank pressures, either SENSOR_PRESSURE(entry) or O2CYLINDER_PRESSURE(entry),
* of structure plot_info for the dive profile where each item in the list corresponds to one point (node) of the
* profile. It finds values for which there are no tank pressures (pressure==0). For each missing item (node) of
* tank pressure it creates a pr_track_alloc structure that represents a segment on the dive profile and that
* contains tank pressures. There is a linked list of pr_track_alloc structures for each cylinder. These pr_track_alloc
* structures ultimately allow for filling the missing tank pressure values on the dive profile using the depth_pressure
* of the dive. To do this, it calculates the summed pressure-time value for the duration of the dive and stores these
* in the pr_track_alloc structures. If diluent_flag = 1, then DILUENT_PRESSURE(entry) is used instead of SENSOR_PRESSURE.
* This function is called by create_plot_info_new() in profile.c
*/
void populate_pressure_information(struct dive *dive, struct divecomputer *dc, struct plot_info *pi, int o2_flag)
{
int i, cylinderid, cylinderindex = -1;
pr_track_t *track_pr[MAX_CYLINDERS] = { NULL, };
pr_track_t *current = NULL;
bool missing_pr = false;
bool found_any_pr_data = false;
/* if we have no pressure data whatsoever, this is pointless, so let's just return */
for (i = 0; i < MAX_CYLINDERS; i++) {
if (dive->cylinder[i].start.mbar || dive->cylinder[i].sample_start.mbar ||
dive->cylinder[i].end.mbar || dive->cylinder[i].sample_end.mbar) {
found_any_pr_data = true;
break;
}
}
if (!found_any_pr_data)
return;
for (i = 0; i < pi->nr; i++) {
struct plot_data *entry = pi->entry + i;
unsigned pressure;
if (o2_flag) { // if this is a diluent cylinder:
pressure = O2CYLINDER_PRESSURE(entry);
cylinderid = dive->oxygen_cylinder_index;
if (cylinderid < 0)
goto GIVE_UP;
} else {
pressure = SENSOR_PRESSURE(entry);
cylinderid = entry->cylinderindex;
}
/* If track_pr structure already exists, then update it: */
/* discrete integration of pressure over time to get the SAC rate equivalent */
if (current) {
entry->pressure_time = calc_pressure_time(dive, dc, entry - 1, entry);
current->pressure_time += entry->pressure_time;
current->t_end = entry->sec;
}
/* If 1st record or different cylinder: Create a new track_pr structure: */
/* track the segments per cylinder and their pressure/time integral */
if (cylinderid != cylinderindex) {
if (o2_flag) // For CCR dives:
cylinderindex = dive->oxygen_cylinder_index; // indicate o2 cylinder
else
cylinderindex = entry->cylinderindex;
current = pr_track_alloc(pressure, entry->sec);
track_pr[cylinderindex] = list_add(track_pr[cylinderindex], current);
continue;
}
if (!pressure) {
missing_pr = 1;
continue;
}
if (current)
current->end = pressure;
/* Was it continuous? */
if ((o2_flag) && (O2CYLINDER_PRESSURE(entry - 1))) // in the case of CCR o2 pressure
continue;
else if (SENSOR_PRESSURE(entry - 1)) // for all other cylinders
continue;
/* transmitter stopped transmitting cylinder pressure data */
current = pr_track_alloc(pressure, entry->sec);
if (cylinderindex >= 0)
track_pr[cylinderindex] = list_add(track_pr[cylinderindex], current);
}
if (missing_pr) {
fill_missing_tank_pressures(dive, pi, track_pr, o2_flag);
}
#ifdef PRINT_PRESSURES_DEBUG
debug_print_pressures(pi);
#endif
GIVE_UP:
for (i = 0; i < MAX_CYLINDERS; i++)
list_free(track_pr[i]);
}