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+/* calculate deco values
+ * based on Bühlmann ZHL-16b
+ * based on an implemention by heinrichs weikamp for the DR5
+ * the original file doesn't carry a license and is used here with
+ * the permission of Matthias Heinrichs
+ *
+ * The implementation below is (C) Dirk Hohndel 2012 and released under the GPLv2
+ *
+ * clear_deco() - call to initialize for a new deco calculation
+ * add_segment(pressure, gasmix, seconds) - add <seconds> at the given pressure, breathing gasmix
+ * deco_allowed_depth(tissues_tolerance, surface_pressure, dive, smooth)
+ * - ceiling based on lead tissue, surface pressure, 3m increments or smooth
+ * set_gf(gflow, gfhigh) - set Buehlmann gradient factors
+ */
+#include <math.h>
+#include "dive.h"
+
+//! Option structure for Buehlmann decompression.
+struct buehlmann_config {
+ double satmult; //! safety at inert gas accumulation as percentage of effect (more than 100).
+ double desatmult; //! safety at inert gas depletion as percentage of effect (less than 100).
+ double safety_dist_deco_stop;//! assumed distance to official decompression where decompression takes places.
+ int last_deco_stop_in_mtr; //! depth of last_deco_stop.
+ double gf_high; //! gradient factor high (at surface).
+ double gf_low; //! gradient factor low (at bottom/start of deco calculation).
+ double gf_low_position_min; //! gf_low_position below surface_min_shallow.
+ double gf_low_position_max; //! gf_low_position below surface_max_depth.
+ double gf_high_emergency; //! emergency gf factors
+ double gf_low_emergency; //! gradient factor low (at bottom/start of deco calculation).
+};
+struct buehlmann_config buehlmann_config = { 1.0, 1.01, 0.5, 3, 75.0, 35.0, 10.0, 30.0, 95.0, 95.0 };
+struct dive_data {
+ double pressure; //! pesent ambient pressure
+ double surface; //! pressure at water surface
+ struct gasmix *gasmix; //! current selected gas
+};
+
+const double buehlmann_N2_a[] = {1.1696, 1.0, 0.8618, 0.7562,
+ 0.62, 0.5043, 0.441, 0.4,
+ 0.375, 0.35, 0.3295, 0.3065,
+ 0.2835, 0.261, 0.248, 0.2327};
+
+const double buehlmann_N2_b[] = {0.5578, 0.6514, 0.7222, 0.7825,
+ 0.8126, 0.8434, 0.8693, 0.8910,
+ 0.9092, 0.9222, 0.9319, 0.9403,
+ 0.9477, 0.9544, 0.9602, 0.9653};
+
+const double buehlmann_N2_t_halflife[] = {5.0, 8.0, 12.5, 18.5,
+ 27.0, 38.3, 54.3, 77.0,
+ 109.0, 146.0, 187.0, 239.0,
+ 305.0, 390.0, 498.0, 635.0};
+
+const double buehlmann_N2_factor_expositon_one_second[] = {
+ 2.30782347297664E-003, 1.44301447809736E-003, 9.23769302935806E-004, 6.24261986779007E-004,
+ 4.27777107246730E-004, 3.01585140931371E-004, 2.12729727268379E-004, 1.50020603047807E-004,
+ 1.05980191127841E-004, 7.91232600646508E-005, 6.17759153688224E-005, 4.83354552742732E-005,
+ 3.78761777920511E-005, 2.96212356654113E-005, 2.31974277413727E-005, 1.81926738960225E-005};
+
+const double buehlmann_He_a[] = { 1.6189, 1.383 , 1.1919, 1.0458,
+ 0.922 , 0.8205, 0.7305, 0.6502,
+ 0.595 , 0.5545, 0.5333, 0.5189,
+ 0.5181, 0.5176, 0.5172, 0.5119};
+
+const double buehlmann_He_b[] = {0.4770, 0.5747, 0.6527, 0.7223,
+ 0.7582, 0.7957, 0.8279, 0.8553,
+ 0.8757, 0.8903, 0.8997, 0.9073,
+ 0.9122, 0.9171, 0.9217, 0.9267};
+
+const double buehlmann_He_t_halflife[] = {1.88, 3.02, 4.72, 6.99,
+ 10.21, 14.48, 20.53, 29.11,
+ 41.20, 55.19, 70.69, 90.34,
+ 115.29, 147.42, 188.24, 240.03};
+
+const double buehlmann_He_factor_expositon_one_second[] = {
+ 6.12608039419837E-003, 3.81800836683133E-003, 2.44456078654209E-003, 1.65134647076792E-003,
+ 1.13084424730725E-003, 7.97503165599123E-004, 5.62552521860549E-004, 3.96776399429366E-004,
+ 2.80360036664540E-004, 2.09299583354805E-004, 1.63410794820518E-004, 1.27869320250551E-004,
+ 1.00198406028040E-004, 7.83611475491108E-005, 6.13689891868496E-005, 4.81280465299827E-005};
+
+#define WV_PRESSURE 0.0627 /* water vapor pressure */
+#define N2_IN_AIR 0.7902
+#define DIST_FROM_3_MTR 0.28
+#define PRESSURE_CHANGE_3M 0.3
+#define TOLERANCE 0.02
+
+double tissue_n2_sat[16];
+double tissue_he_sat[16];
+double tissue_tolerated_ambient_pressure[16];
+int ci_pointing_to_guiding_tissue;
+double gf_low_position_this_dive;
+int divetime;
+
+
+
+static double actual_gradient_limit(const struct dive_data *data)
+{
+ double pressure_diff, limit_at_position;
+ double gf_high = buehlmann_config.gf_high;
+ double gf_low = buehlmann_config.gf_low;
+
+ pressure_diff = data->pressure - data->surface;
+
+ if (pressure_diff > TOLERANCE) {
+ if (pressure_diff < gf_low_position_this_dive)
+ limit_at_position = gf_high - ((gf_high - gf_low) * pressure_diff / gf_low_position_this_dive);
+ else
+ limit_at_position = gf_low;
+ } else {
+ limit_at_position = gf_high;
+ }
+ return limit_at_position;
+}
+
+static double gradient_factor_calculation(const struct dive_data *data)
+{
+ double tissue_inertgas_saturation;
+
+ tissue_inertgas_saturation = tissue_n2_sat[ci_pointing_to_guiding_tissue] +
+ tissue_he_sat[ci_pointing_to_guiding_tissue];
+ if (tissue_inertgas_saturation < data->pressure)
+ return 0.0;
+ else
+ return (tissue_inertgas_saturation - data->pressure) /
+ (tissue_inertgas_saturation - tissue_tolerated_ambient_pressure[ci_pointing_to_guiding_tissue]);
+}
+
+static double tissue_tolerance_calc(void)
+{
+ int ci = -1;
+ double tissue_inertgas_saturation, buehlmann_inertgas_a, buehlmann_inertgas_b;
+ double ret_tolerance_limit_ambient_pressure = -1.0;
+
+ for (ci = 0; ci < 16; ci++)
+ {
+ tissue_inertgas_saturation = tissue_n2_sat[ci] + tissue_he_sat[ci];
+ buehlmann_inertgas_a = ((buehlmann_N2_a[ci] * tissue_n2_sat[ci]) + (buehlmann_He_a[ci] * tissue_he_sat[ci])) / tissue_inertgas_saturation;
+ buehlmann_inertgas_b = ((buehlmann_N2_b[ci] * tissue_n2_sat[ci]) + (buehlmann_He_b[ci] * tissue_he_sat[ci])) / tissue_inertgas_saturation;
+
+ tissue_tolerated_ambient_pressure[ci] = (tissue_inertgas_saturation - buehlmann_inertgas_a) * buehlmann_inertgas_b;
+
+ if (tissue_tolerated_ambient_pressure[ci] > ret_tolerance_limit_ambient_pressure)
+ {
+ ci_pointing_to_guiding_tissue = ci;
+ ret_tolerance_limit_ambient_pressure = tissue_tolerated_ambient_pressure[ci];
+ }
+ }
+ return (ret_tolerance_limit_ambient_pressure);
+}
+
+/* add a second at the given pressure and gas to the deco calculation */
+double add_segment(double pressure, struct gasmix *gasmix, int period_in_seconds)
+{
+ int ci;
+ double ppn2 = (pressure - WV_PRESSURE) * (1000 - gasmix->o2.permille - gasmix->he.permille) / 1000.0;
+ double pphe = (pressure - WV_PRESSURE) * gasmix->he.permille / 1000.0;
+
+ /* right now we just do OC */
+ if (period_in_seconds == 1) { /* that's what we do during the dive */
+ for (ci = 0; ci < 16; ci++) {
+ if (ppn2 - tissue_n2_sat[ci] > 0)
+ tissue_n2_sat[ci] += buehlmann_config.satmult * (ppn2 - tissue_n2_sat[ci]) *
+ buehlmann_N2_factor_expositon_one_second[ci];
+ else
+ tissue_n2_sat[ci] += buehlmann_config.desatmult * (ppn2 - tissue_n2_sat[ci]) *
+ buehlmann_N2_factor_expositon_one_second[ci];
+ if (pphe - tissue_he_sat[ci] > 0)
+ tissue_he_sat[ci] += buehlmann_config.satmult * (pphe - tissue_he_sat[ci]) *
+ buehlmann_He_factor_expositon_one_second[ci];
+ else
+ tissue_he_sat[ci] += buehlmann_config.desatmult * (pphe - tissue_he_sat[ci]) *
+ buehlmann_He_factor_expositon_one_second[ci];
+ }
+ } else { /* all other durations */
+ for (ci = 0; ci < 16; ci++)
+ {
+ if (ppn2 - tissue_n2_sat[ci] > 0)
+ tissue_n2_sat[ci] += buehlmann_config.satmult * (ppn2 - tissue_n2_sat[ci]) *
+ (1 - pow(2.0,(- period_in_seconds / (buehlmann_N2_t_halflife[ci] * 60))));
+ else
+ tissue_n2_sat[ci] += buehlmann_config.desatmult * (ppn2 - tissue_n2_sat[ci]) *
+ (1 - pow(2.0,(- period_in_seconds / (buehlmann_N2_t_halflife[ci] * 60))));
+ if (pphe - tissue_he_sat[ci] > 0)
+ tissue_he_sat[ci] += buehlmann_config.satmult * (pphe - tissue_he_sat[ci]) *
+ (1 - pow(2.0,(- period_in_seconds / (buehlmann_He_t_halflife[ci] * 60))));
+ else
+ tissue_he_sat[ci] += buehlmann_config.desatmult * (pphe - tissue_he_sat[ci]) *
+ (1 - pow(2.0,(- period_in_seconds / (buehlmann_He_t_halflife[ci] * 60))));
+ }
+ }
+ return tissue_tolerance_calc();
+}
+
+void dump_tissues()
+{
+ int ci;
+ printf("N2 tissues:");
+ for (ci = 0; ci < 16; ci++)
+ printf(" %6.3e", tissue_n2_sat[ci]);
+ printf("\nHe tissues:");
+ for (ci = 0; ci < 16; ci++)
+ printf(" %6.3e", tissue_he_sat[ci]);
+ printf("\n");
+}
+
+void clear_deco(double surface_pressure)
+{
+ int ci;
+ for (ci = 0; ci < 16; ci++) {
+ tissue_n2_sat[ci] = (surface_pressure - WV_PRESSURE) * N2_IN_AIR;
+ tissue_he_sat[ci] = 0.0;
+ tissue_tolerated_ambient_pressure[ci] = 0.0;
+ }
+ divetime = 0;
+}
+
+unsigned int deco_allowed_depth(double tissues_tolerance, double surface_pressure, struct dive *dive, gboolean smooth)
+{
+ unsigned int depth, multiples_of_3m;
+ gboolean below_gradient_limit;
+ double new_gradient_factor;
+ double pressure_delta = tissues_tolerance - surface_pressure;
+ struct dive_data mydata;
+
+ if (pressure_delta > 0) {
+ if (!smooth) {
+ multiples_of_3m = (pressure_delta + DIST_FROM_3_MTR) / 0.3;
+ depth = 3000 * multiples_of_3m;
+ } else {
+ depth = rel_mbar_to_depth(pressure_delta * 1000, dive);
+ }
+ } else {
+ depth = 0;
+ }
+ mydata.pressure = surface_pressure + depth / 10000.0;
+ mydata.surface = surface_pressure;
+
+ new_gradient_factor = gradient_factor_calculation(&mydata);
+ below_gradient_limit = (new_gradient_factor < actual_gradient_limit(&mydata));
+ while(!below_gradient_limit)
+ {
+ mydata.pressure += PRESSURE_CHANGE_3M;
+ new_gradient_factor = gradient_factor_calculation(&mydata);
+ below_gradient_limit = (new_gradient_factor < actual_gradient_limit(&mydata));
+ }
+
+ return depth;
+}
+
+void set_gf(double gflow, double gfhigh)
+{
+ if (gflow != -1.0)
+ buehlmann_config.gf_low = gflow;
+ if (gfhigh != -1.0)
+ buehlmann_config.gf_high = gfhigh;
+}