commit 3a93ad1530eda7d01df6d8d68cd26b185ab12b69
parent 7c109d95cbe83ee182cb2d6d31fae917c2be6467
Author: Vincent Forest <vincent.forest@meso-star.com>
Date: Thu, 1 Apr 2021 16:50:56 +0200
Update the RDG-FA phase function
Merge the two angular domains and thus remove the computation of a limit
angle between them.
Diffstat:
4 files changed, 37 insertions(+), 2109 deletions(-)
diff --git a/src/ssf.h b/src/ssf.h
@@ -192,10 +192,10 @@ struct ssf_phase_rdgfa_setup_args {
double fractal_dimension; /* No unit */
double gyration_radius; /* In nm */
- /* #intervals used to discretized the both angular domains */
- size_t nintervals[2];
+ /* #intervals used to discretized the angular domain */
+ size_t nintervals;
};
-#define SSF_PHASE_RDGFA_SETUP_ARGS_DEFAULT__ {0,0,0,{1000,1000}}
+#define SSF_PHASE_RDGFA_SETUP_ARGS_DEFAULT__ {0,0,0,1000}
static const struct ssf_phase_rdgfa_setup_args
SSF_PHASE_RDGFA_SETUP_ARGS_DEFAULT = SSF_PHASE_RDGFA_SETUP_ARGS_DEFAULT__;
@@ -204,11 +204,10 @@ struct ssf_phase_rdgfa_desc {
double fractal_dimension; /* No unit */
double gyration_radius; /* In nm */
- double theta_limit; /* Angle that splits the 2 angular domains. In rad */
double normalization_factor; /* Normalization factor of the cumulative */
size_t nintervals; /* #intervals used to discretized the cumulative */
};
-#define SSF_PHASE_RDGFA_DESC_NULL__ {0,0,0,0,0,0}
+#define SSF_PHASE_RDGFA_DESC_NULL__ {0,0,0,0,0}
static const struct ssf_phase_rdgfa_desc SSF_PHASE_RDGFA_DESC_NULL =
SSF_PHASE_RDGFA_DESC_NULL__;
diff --git a/src/ssf_phase_rdgfa.c b/src/ssf_phase_rdgfa.c
@@ -39,15 +39,11 @@ struct rdgfa {
double cst_3Df_div_2E; /* 3*Df/(2*exp(1)) */
double g; /* g function */
- /* #intervals used to discretized both the [0,theta_limit[ and
- * [theta_limit,pi[ intervals */
- size_t nintervals[2];
+ /* #intervals used to discretize the [0,pi[ angular domain */
+ size_t nintervals;
- /* Length of an angular interval for the tow angular domains */
- double dtheta[2]; /* In rad */
-
- /* Limit angle that splits the 2 angular domains */
- double theta_limit; /* In rad */
+ /* Length of an angular interval */
+ double dtheta; /* In rad */
};
/*******************************************************************************
@@ -60,8 +56,7 @@ check_phase_rdgfa_setup_args(const struct ssf_phase_rdgfa_setup_args* args)
&& args->wavelength > 0
&& args->fractal_dimension > 0
&& args->gyration_radius > 0
- && args->nintervals[0] != 0
- && args->nintervals[1] != 0;
+ && args->nintervals != 0;
}
static INLINE int
@@ -78,29 +73,6 @@ cmp_dbl(const void* a, const void* b)
}
}
-/* Compute the angular range of an interval */
-static INLINE void
-compute_interval_angular_range
- (const struct rdgfa* rdgfa,
- const size_t interval,
- double angular_range[2])
-{
- ASSERT(rdgfa && interval < rdgfa->nintervals[0] + rdgfa->nintervals[1]);
- ASSERT(angular_range);
-
- /* First angular domain in [0, theta_limit[ */
- if(interval < rdgfa->nintervals[0]) {
- angular_range[0] = rdgfa->dtheta[0] * (double)(interval + 0);
- angular_range[1] = rdgfa->dtheta[0] * (double)(interval + 1);
-
- /* Second angular domain in [theta_limit, PI[ */
- } else {
- const size_t i = interval - rdgfa->nintervals[0];
- angular_range[0] = rdgfa->dtheta[1] * (double)(i + 0) + rdgfa->theta_limit;
- angular_range[1] = rdgfa->dtheta[1] * (double)(i + 1) + rdgfa->theta_limit;
- }
-}
-
static INLINE double
eval_f(struct rdgfa* rdgfa, const double theta)
{
@@ -155,44 +127,27 @@ static res_T
compute_cumulative(struct rdgfa* rdgfa)
{
double* cdf = NULL;
- double Df, Rg;
double f1;
double theta1;
size_t i;
- size_t nintervals_total;
res_T res = RES_OK;
- /* Compute the overall number of angular intervals */
- nintervals_total = rdgfa->nintervals[0] + rdgfa->nintervals[1];
-
/* Allocate the cumulative array */
- res = darray_double_resize(&rdgfa->cdf, nintervals_total);
+ res = darray_double_resize(&rdgfa->cdf, rdgfa->nintervals);
if(res != RES_OK) goto error;
cdf = darray_double_data_get(&rdgfa->cdf);
- /* Fetch input arguments */
- Df = rdgfa->fractal_dimension;
- Rg = rdgfa->gyration_radius;
-
- /* Compute the limit angle between the 2 angular domains */
- rdgfa->theta_limit = 2 * asin(rdgfa->wavelength/(4*PI) * sqrt(1.5*Df) / Rg);
-
- /* Compute the angular step for the 2 angular domains */
- rdgfa->dtheta[0] = rdgfa->theta_limit / (double)rdgfa->nintervals[0];
- rdgfa->dtheta[1] = (PI - rdgfa->theta_limit) / (double)rdgfa->nintervals[1];
+ /* Compute the angular step for the angular domain */
+ rdgfa->dtheta = PI / (double)rdgfa->nintervals;
theta1 = 0;
f1 = eval(rdgfa, 0);
- FOR_EACH(i, 0, nintervals_total) {
- /* Fetch the current angular step */
- const double dtheta_curr = i < rdgfa->nintervals[0]
- ? rdgfa->dtheta[0] : rdgfa->dtheta[1];
-
- /* Compute the upper bound of the currant angular range */
- const double theta2 = theta1 + dtheta_curr;
+ FOR_EACH(i, 0, rdgfa->nintervals) {
+ /* Compute the upper bound of the current angular range */
+ const double theta2 = theta1 + rdgfa->dtheta;
/* Compute the (unormalized) cumulative for current interval */
- const double delta_omega = 2*PI*sin((theta1+theta2)*0.5)*dtheta_curr;
+ const double delta_omega = 2*PI*sin((theta1+theta2)*0.5)*rdgfa->dtheta;
const double f2 = eval(rdgfa, theta2);
const double tmp = (f1 + f2) * 0.5 * delta_omega;
cdf[i] = (i == 0 ? tmp : tmp + cdf[i-1]);
@@ -203,10 +158,10 @@ compute_cumulative(struct rdgfa* rdgfa)
}
/* Save the normamlization factor */
- rdgfa->rcp_normalize_factor = 1.0 / cdf[nintervals_total-1];
+ rdgfa->rcp_normalize_factor = 1.0 / cdf[rdgfa->nintervals-1];
/* Finally normalize the CDF */
- FOR_EACH(i, 0, nintervals_total) {
+ FOR_EACH(i, 0, rdgfa->nintervals) {
cdf[i] *= rdgfa->rcp_normalize_factor;
}
@@ -283,7 +238,8 @@ rdgfa_sample
i = (size_t)(find - cdf);
/* Compute the angular range into which the sample lies */
- compute_interval_angular_range(rdgfa, i, thetas);
+ thetas[0] = rdgfa->dtheta * (double)(i + 0);
+ thetas[1] = rdgfa->dtheta * (double)(i + 1);
/* Compute the sampled theta angle by linearly interpolate it from the
* boundaries of its interval */
@@ -351,8 +307,7 @@ ssf_phase_rdgfa_setup
rdgfa->wavelength = args->wavelength;
rdgfa->fractal_dimension = args->fractal_dimension;
rdgfa->gyration_radius = args->gyration_radius;
- rdgfa->nintervals[0] = args->nintervals[0];
- rdgfa->nintervals[1] = args->nintervals[1];
+ rdgfa->nintervals = args->nintervals;
/* Fetch input data */
lambda = rdgfa->wavelength;
@@ -396,9 +351,8 @@ ssf_phase_rdgfa_get_desc
desc->wavelength = rdgfa->wavelength;
desc->gyration_radius = rdgfa->gyration_radius;
desc->fractal_dimension = rdgfa->fractal_dimension;
- desc->theta_limit = rdgfa->theta_limit;
desc->normalization_factor = 1.0/rdgfa->rcp_normalize_factor;
- desc->nintervals = rdgfa->nintervals[0] + rdgfa->nintervals[1];
+ desc->nintervals = rdgfa->nintervals;
exit:
return res;
@@ -426,7 +380,8 @@ ssf_phase_rdgfa_get_interval
goto error;
}
- compute_interval_angular_range(rdgfa, interval_id, interval->range);
+ interval->range[0] = rdgfa->dtheta * (double)(interval_id + 0);
+ interval->range[1] = rdgfa->dtheta * (double)(interval_id + 1);
interval->cumulative = darray_double_cdata_get(&rdgfa->cdf)[interval_id];
exit:
diff --git a/src/test_ssf_phase_rdgfa.c b/src/test_ssf_phase_rdgfa.c
@@ -15,7 +15,6 @@
#include "ssf.h"
#include "test_ssf_utils.h"
-#include "test_ssf_phase_rdgfa_ref_cumul.h"
int
main(int argc, char** argv)
@@ -29,6 +28,7 @@ main(int argc, char** argv)
struct ssf_phase* phase;
struct ssf_phase* dummy;
struct ssp_rng* rng;
+ double cumulative_prev;
double wo[3];
size_t i;
(void)argc, (void)argv;
@@ -42,8 +42,7 @@ main(int argc, char** argv)
args.wavelength = 633;
args.fractal_dimension = 1.75;
args.gyration_radius = 385.17247758644652;
- args.nintervals[0] = 1000;
- args.nintervals[1] = 1000;
+ args.nintervals = 1000;
CHK(ssf_phase_rdgfa_setup(NULL, &args) == RES_BAD_ARG);
CHK(ssf_phase_rdgfa_setup(phase, NULL) == RES_BAD_ARG);
CHK(ssf_phase_rdgfa_setup(dummy, &args) == RES_BAD_ARG);
@@ -57,21 +56,27 @@ main(int argc, char** argv)
CHK(desc.wavelength == args.wavelength);
CHK(desc.fractal_dimension == args.fractal_dimension);
CHK(desc.gyration_radius == args.gyration_radius);
- CHK(desc.nintervals = args.nintervals[0] + args.nintervals[1]);
+ CHK(desc.nintervals = args.nintervals);
CHK(ssf_phase_rdgfa_get_interval(NULL, 0, &interval) == RES_BAD_ARG);
CHK(ssf_phase_rdgfa_get_interval(phase, desc.nintervals+1, &interval)
== RES_BAD_ARG);
CHK(ssf_phase_rdgfa_get_interval(phase, 0, NULL) == RES_BAD_ARG);
+ cumulative_prev = 0;
FOR_EACH(i, 0, desc.nintervals) {
- const struct ssf_phase_rdgfa_interval* ref = phase_rdgfa_ref_cumul + i;
+ double range[2];
+
+ range[0] = PI/(double)desc.nintervals * (double)(i+0);
+ range[1] = PI/(double)desc.nintervals * (double)(i+1);
CHK(ssf_phase_rdgfa_get_interval(phase, i, &interval) == RES_OK);
+ CHK(eq_eps(interval.range[0], range[0], fabs(range[0]*1.e-6)));
+ CHK(eq_eps(interval.range[1], range[1], fabs(range[1]*1.e-6)));
+ CHK(interval.cumulative > cumulative_prev);
+ CHK(interval.cumulative <= 1.0);
- CHK(eq_eps(interval.range[0], ref->range[0], fabs(ref->range[0]*1.e-6)));
- CHK(eq_eps(interval.range[1], ref->range[1], fabs(ref->range[1]*1.e-6)));
- CHK(eq_eps(interval.cumulative, ref->cumulative, fabs(ref->cumulative*1.e-6)));
+ cumulative_prev = interval.cumulative;
}
ssp_ran_sphere_uniform(rng, wo, NULL);
diff --git a/src/test_ssf_phase_rdgfa_ref_cumul.h b/src/test_ssf_phase_rdgfa_ref_cumul.h
@@ -1,2031 +0,0 @@
-/* Copyright (C) 2016-2018, 2021 |Meso|Star> (contact@meso-star.com)
- *
- * 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 3 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, see <http://www.gnu.org/licenses/>. */
-
-#ifndef TEST_SSF_RDGFA_REF_CUMULATIVE_H
-#define TEST_SSF_RDGFA_REF_CUMULATIVE_H
-
-#include "ssf.h"
-
-/* Cumulative computed from another code and used as a refercence to cross
- * compare the results.
- * Wavelength = 633 nm
- * Fractal dimension = 1.75
- * Gyration radius = 385.17247758644652 nm
- * #intervals in [0, theta_limit[ = 1000
- * #intervals in [theta_limit, pi[ = 1000 */
-static const struct ssf_phase_rdgfa_interval phase_rdgfa_ref_cumul[] = {
- {{0.0000000000000000, 4.2700973896198807E-004}, 5.8336411537831027E-007},
- {{4.2700973896198807E-004, 8.5401947792397613E-004}, 2.3334529264170861E-006},
- {{8.5401947792397613E-004, 1.2810292168859642E-003}, 5.2502558278645965E-006},
- {{1.2810292168859642E-003, 1.7080389558479523E-003}, 9.3337551444237310E-006},
- {{1.7080389558479523E-003, 2.1350486948099401E-003}, 1.4583926130935658E-005},
- {{2.1350486948099401E-003, 2.5620584337719284E-003}, 2.1000736972636944E-005},
- {{2.5620584337719284E-003, 2.9890681727339167E-003}, 2.8584148785490143E-005},
- {{2.9890681727339167E-003, 3.4160779116959045E-003}, 3.7334115616587802E-005},
- {{3.4160779116959045E-003, 3.8430876506578924E-003}, 4.7250584444629956E-005},
- {{3.8430876506578924E-003, 4.2700973896198802E-003}, 5.8333495180475026E-005},
- {{4.2700973896198802E-003, 4.6971071285818690E-003}, 7.0582780667764167E-005},
- {{4.6971071285818690E-003, 5.1241168675438568E-003}, 8.3998366683619047E-005},
- {{5.1241168675438568E-003, 5.5511266065058447E-003}, 9.8580171939412965E-005},
- {{5.5511266065058447E-003, 5.9781363454678334E-003}, 1.1432810808161548E-004},
- {{5.9781363454678334E-003, 6.4051460844298212E-003}, 1.3124207969271036E-004},
- {{6.4051460844298212E-003, 6.8321558233918091E-003}, 1.4932198429218688E-004},
- {{6.8321558233918091E-003, 7.2591655623537969E-003}, 1.6856771233760457E-004},
- {{7.2591655623537969E-003, 7.6861753013157848E-003}, 1.8897914722573115E-004},
- {{7.6861753013157848E-003, 8.1131850402777726E-003}, 2.1055616529375398E-004},
- {{8.1131850402777726E-003, 8.5401947792397605E-003}, 2.3329863582056468E-004},
- {{8.5401947792397605E-003, 8.9672045182017501E-003}, 2.5720642102811705E-004},
- {{8.9672045182017501E-003, 9.3942142571637379E-003}, 2.8227937608285835E-004},
- {{9.3942142571637379E-003, 9.8212239961257258E-003}, 3.0851734909723377E-004},
- {{9.8212239961257258E-003, 1.0248233735087714E-002}, 3.3592018113126398E-004},
- {{1.0248233735087714E-002, 1.0675243474049701E-002}, 3.6448770619419615E-004},
- {{1.0675243474049701E-002, 1.1102253213011689E-002}, 3.9421975124622800E-004},
- {{1.1102253213011689E-002, 1.1529262951973677E-002}, 4.2511613620030495E-004},
- {{1.1529262951973677E-002, 1.1956272690935667E-002}, 4.5717667392399056E-004},
- {{1.1956272690935667E-002, 1.2383282429897655E-002}, 4.9040117024140985E-004},
- {{1.2383282429897655E-002, 1.2810292168859642E-002}, 5.2478942393526570E-004},
- {{1.2810292168859642E-002, 1.3237301907821630E-002}, 5.6034122674892867E-004},
- {{1.3237301907821630E-002, 1.3664311646783618E-002}, 5.9705636338859927E-004},
- {{1.3664311646783618E-002, 1.4091321385745606E-002}, 6.3493461152554361E-004},
- {{1.4091321385745606E-002, 1.4518331124707594E-002}, 6.7397574179840184E-004},
- {{1.4518331124707594E-002, 1.4945340863669582E-002}, 7.1417951781556951E-004},
- {{1.4945340863669582E-002, 1.5372350602631570E-002}, 7.5554569615765154E-004},
- {{1.5372350602631570E-002, 1.5799360341593557E-002}, 7.9807402637998973E-004},
- {{1.5799360341593557E-002, 1.6226370080555545E-002}, 8.4176425101526212E-004},
- {{1.6226370080555545E-002, 1.6653379819517533E-002}, 8.8661610557615601E-004},
- {{1.6653379819517533E-002, 1.7080389558479521E-002}, 9.3262931855811297E-004},
- {{1.7080389558479521E-002, 1.7507399297441512E-002}, 9.7980361144214692E-004},
- {{1.7507399297441512E-002, 1.7934409036403500E-002}, 1.0281386986977349E-003},
- {{1.7934409036403500E-002, 1.8361418775365488E-002}, 1.0776342877857803E-003},
- {{1.8361418775365488E-002, 1.8788428514327476E-002}, 1.1282900791616483E-003},
- {{1.8788428514327476E-002, 1.9215438253289464E-002}, 1.1801057662782744E-003},
- {{1.9215438253289464E-002, 1.9642447992251452E-002}, 1.2330810355893451E-003},
- {{1.9642447992251452E-002, 2.0069457731213439E-002}, 1.2872155665525507E-003},
- {{2.0069457731213439E-002, 2.0496467470175427E-002}, 1.3425090316329115E-003},
- {{2.0496467470175427E-002, 2.0923477209137415E-002}, 1.3989610963061751E-003},
- {{2.0923477209137415E-002, 2.1350486948099403E-002}, 1.4565714190622862E-003},
- {{2.1350486948099403E-002, 2.1777496687061391E-002}, 1.5153396514089297E-003},
- {{2.1777496687061391E-002, 2.2204506426023379E-002}, 1.5752654378751441E-003},
- {{2.2204506426023379E-002, 2.2631516164985366E-002}, 1.6363484160150088E-003},
- {{2.2631516164985366E-002, 2.3058525903947354E-002}, 1.6985882164114023E-003},
- {{2.3058525903947354E-002, 2.3485535642909342E-002}, 1.7619844626798325E-003},
- {{2.3485535642909342E-002, 2.3912545381871333E-002}, 1.8265367714723397E-003},
- {{2.3912545381871333E-002, 2.4339555120833321E-002}, 1.8922447524814708E-003},
- {{2.4339555120833321E-002, 2.4766564859795309E-002}, 1.9591080084443253E-003},
- {{2.4766564859795309E-002, 2.5193574598757297E-002}, 2.0271261351466731E-003},
- {{2.5193574598757297E-002, 2.5620584337719285E-002}, 2.0962987214271445E-003},
- {{2.5620584337719285E-002, 2.6047594076681273E-002}, 2.1666253491814916E-003},
- {{2.6047594076681273E-002, 2.6474603815643261E-002}, 2.2381055933669201E-003},
- {{2.6474603815643261E-002, 2.6901613554605248E-002}, 2.3107390220064943E-003},
- {{2.6901613554605248E-002, 2.7328623293567236E-002}, 2.3845251961936132E-003},
- {{2.7328623293567236E-002, 2.7755633032529224E-002}, 2.4594636700965571E-003},
- {{2.7755633032529224E-002, 2.8182642771491212E-002}, 2.5355539909631061E-003},
- {{2.8182642771491212E-002, 2.8609652510453200E-002}, 2.6127956991252302E-003},
- {{2.8609652510453200E-002, 2.9036662249415188E-002}, 2.6911883280038486E-003},
- {{2.9036662249415188E-002, 2.9463671988377176E-002}, 2.7707314041136642E-003},
- {{2.9463671988377176E-002, 2.9890681727339163E-002}, 2.8514244470680640E-003},
- {{2.9890681727339163E-002, 3.0317691466301151E-002}, 2.9332669695840943E-003},
- {{3.0317691466301151E-002, 3.0744701205263139E-002}, 3.0162584774875057E-003},
- {{3.0744701205263139E-002, 3.1171710944225130E-002}, 3.1003984697178673E-003},
- {{3.1171710944225130E-002, 3.1598720683187115E-002}, 3.1856864383337543E-003},
- {{3.1598720683187115E-002, 3.2025730422149103E-002}, 3.2721218685180047E-003},
- {{3.2025730422149103E-002, 3.2452740161111090E-002}, 3.3597042385830464E-003},
- {{3.2452740161111090E-002, 3.2879749900073078E-002}, 3.4484330199762948E-003},
- {{3.2879749900073078E-002, 3.3306759639035066E-002}, 3.5383076772856226E-003},
- {{3.3306759639035066E-002, 3.3733769377997054E-002}, 3.6293276682448968E-003},
- {{3.3733769377997054E-002, 3.4160779116959042E-002}, 3.7214924437395892E-003},
- {{3.4160779116959042E-002, 3.4587788855921037E-002}, 3.8148014478124547E-003},
- {{3.4587788855921037E-002, 3.5014798594883025E-002}, 3.9092541176692806E-003},
- {{3.5014798594883025E-002, 3.5441808333845012E-002}, 4.0048498836847057E-003},
- {{3.5441808333845012E-002, 3.5868818072807000E-002}, 4.1015881694081088E-003},
- {{3.5868818072807000E-002, 3.6295827811768988E-002}, 4.1994683915695706E-003},
- {{3.6295827811768988E-002, 3.6722837550730976E-002}, 4.2984899600858979E-003},
- {{3.6722837550730976E-002, 3.7149847289692964E-002}, 4.3986522780667245E-003},
- {{3.7149847289692964E-002, 3.7576857028654952E-002}, 4.4999547418206800E-003},
- {{3.7576857028654952E-002, 3.8003866767616939E-002}, 4.6023967408616237E-003},
- {{3.8003866767616939E-002, 3.8430876506578927E-002}, 4.7059776579149552E-003},
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- {{3.0058635078584026, 3.0085780907730304}, 0.99844468550092724},
- {{3.0085780907730304, 3.0112926736876582}, 0.99850728187800464},
- {{3.0112926736876582, 3.0140072566022864}, 0.99856860696945982},
- {{3.0140072566022864, 3.0167218395169142}, 0.99862865957370128},
- {{3.0167218395169142, 3.0194364224315420}, 0.99868743851354225},
- {{3.0194364224315420, 3.0221510053461698}, 0.99874494263625724},
- {{3.0221510053461698, 3.0248655882607975}, 0.99880117081363740},
- {{3.0248655882607975, 3.0275801711754253}, 0.99885612194204498},
- {{3.0275801711754253, 3.0302947540900531}, 0.99890979494246634},
- {{3.0302947540900531, 3.0330093370046809}, 0.99896218876056386},
- {{3.0330093370046809, 3.0357239199193087}, 0.99901330236672670},
- {{3.0357239199193087, 3.0384385028339365}, 0.99906313475612019},
- {{3.0384385028339365, 3.0411530857485642}, 0.99911168494873448},
- {{3.0411530857485642, 3.0438676686631920}, 0.99915895198943117},
- {{3.0438676686631920, 3.0465822515778198}, 0.99920493494798945},
- {{3.0465822515778198, 3.0492968344924476}, 0.99924963291915081},
- {{3.0492968344924476, 3.0520114174070754}, 0.99929304502266247},
- {{3.0520114174070754, 3.0547260003217032}, 0.99933517040331976},
- {{3.0547260003217032, 3.0574405832363309}, 0.99937600823100703},
- {{3.0574405832363309, 3.0601551661509587}, 0.99941555770073753},
- {{3.0601551661509587, 3.0628697490655865}, 0.99945381803269229},
- {{3.0628697490655865, 3.0655843319802143}, 0.99949078847225714},
- {{3.0655843319802143, 3.0682989148948425}, 0.99952646829005931},
- {{3.0682989148948425, 3.0710134978094703}, 0.99956085678200235},
- {{3.0710134978094703, 3.0737280807240981}, 0.99959395326929956},
- {{3.0737280807240981, 3.0764426636387259}, 0.99962575709850710},
- {{3.0764426636387259, 3.0791572465533537}, 0.99965626764155480},
- {{3.0791572465533537, 3.0818718294679814}, 0.99968548429577686},
- {{3.0818718294679814, 3.0845864123826092}, 0.99971340648394014},
- {{3.0845864123826092, 3.0873009952972370}, 0.99974003365427222},
- {{3.0873009952972370, 3.0900155782118648}, 0.99976536528048776},
- {{3.0900155782118648, 3.0927301611264926}, 0.99978940086181378},
- {{3.0927301611264926, 3.0954447440411204}, 0.99981213992301365},
- {{3.0954447440411204, 3.0981593269557481}, 0.99983358201440964},
- {{3.0981593269557481, 3.1008739098703759}, 0.99985372671190487},
- {{3.1008739098703759, 3.1035884927850037}, 0.99987257361700321},
- {{3.1035884927850037, 3.1063030756996315}, 0.99989012235682873},
- {{3.1063030756996315, 3.1090176586142593}, 0.99990637258414339},
- {{3.1090176586142593, 3.1117322415288871}, 0.99992132397736377},
- {{3.1117322415288871, 3.1144468244435148}, 0.99993497624057626},
- {{3.1144468244435148, 3.1171614073581426}, 0.99994732910355155},
- {{3.1171614073581426, 3.1198759902727704}, 0.99995838232175738},
- {{3.1198759902727704, 3.1225905731873982}, 0.99996813567637011},
- {{3.1225905731873982, 3.1253051561020264}, 0.99997658897428565},
- {{3.1253051561020264, 3.1280197390166542}, 0.99998374204812823},
- {{3.1280197390166542, 3.1307343219312820}, 0.99998959475625870},
- {{3.1307343219312820, 3.1334489048459098}, 0.99999414698278122},
- {{3.1334489048459098, 3.1361634877605375}, 0.99999739863754888},
- {{3.1361634877605375, 3.1388780706751653}, 0.99999934965616788},
- {{3.1388780706751653, 3.1415926535897931}, 1.0000000000000007}
-};
-
-#endif /* TEST_SSF_RDGFA_REF_CUMULATIVE_H */
