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opm-simulators/tests/test_vfpproperties.cpp

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/*
Copyright 2015 SINTEF ICT, Applied Mathematics.
This file is part of the Open Porous Media project (OPM).
OPM 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.
OPM 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 OPM. If not, see <http://www.gnu.org/licenses/>.
*/
#include <config.h>
#define BOOST_TEST_MODULE VFPTest
#include <algorithm>
#include <memory>
#include <map>
#include <sstream>
#include <limits>
#include <vector>
#include <opm/common/utility/platform_dependent/disable_warnings.h>
#include <boost/test/unit_test.hpp>
#include <boost/filesystem.hpp>
#include <opm/common/utility/platform_dependent/reenable_warnings.h>
#include <opm/core/wells.h>
#include <opm/parser/eclipse/Parser/Parser.hpp>
#include <opm/parser/eclipse/EclipseState/checkDeck.hpp>
#include <opm/parser/eclipse/EclipseState/EclipseState.hpp>
#include <opm/parser/eclipse/EclipseState/Schedule/VFPProdTable.hpp>
#include <opm/parser/eclipse/Units/UnitSystem.hpp>
#include <opm/simulators/wells/VFPHelpers.hpp>
#include <opm/simulators/wells/VFPProdProperties.hpp>
const double max_d_tol = 1.0e-10;
const double sad_tol = 1.0e-8;
BOOST_AUTO_TEST_SUITE( HelperTests )
BOOST_AUTO_TEST_CASE(findInterpData)
{
std::vector<double> values = {1, 5, 7, 9, 11, 15};
double exact = 9.0;
double interpolate = 6.0;
double extrapolate_left = -1.0;
double extrapolate_right = 19;
double first = 1;
double last = 15;
Opm::detail::InterpData eval0 = Opm::detail::findInterpData(exact, values);
Opm::detail::InterpData eval1 = Opm::detail::findInterpData(interpolate, values);
Opm::detail::InterpData eval2 = Opm::detail::findInterpData(extrapolate_left, values);
Opm::detail::InterpData eval3 = Opm::detail::findInterpData(extrapolate_right, values);
Opm::detail::InterpData eval4 = Opm::detail::findInterpData(first, values);
Opm::detail::InterpData eval5 = Opm::detail::findInterpData(last, values);
BOOST_CHECK_EQUAL(eval0.ind_[0], 2);
BOOST_CHECK_EQUAL(eval0.ind_[1], 3);
BOOST_CHECK_EQUAL(eval0.factor_, 1.0);
BOOST_CHECK_EQUAL(eval1.ind_[0], 1);
BOOST_CHECK_EQUAL(eval1.ind_[1], 2);
BOOST_CHECK_EQUAL(eval1.factor_, 0.5);
BOOST_CHECK_EQUAL(eval2.ind_[0], 0);
BOOST_CHECK_EQUAL(eval2.ind_[1], 1);
BOOST_CHECK_EQUAL(eval2.factor_, -0.25);
BOOST_CHECK_EQUAL(eval3.ind_[0], 4);
BOOST_CHECK_EQUAL(eval3.ind_[1], 5);
BOOST_CHECK_EQUAL(eval3.factor_, 2.0);
BOOST_CHECK_EQUAL(eval4.ind_[0], 0);
BOOST_CHECK_EQUAL(eval4.ind_[1], 1);
BOOST_CHECK_EQUAL(eval4.factor_, 0.0);
BOOST_CHECK_EQUAL(eval5.ind_[0], 4);
BOOST_CHECK_EQUAL(eval5.ind_[1], 5);
BOOST_CHECK_EQUAL(eval5.factor_, 1.0);
}
BOOST_AUTO_TEST_SUITE_END() // HelperTests
/**
* Test fixture to set up axis etc.
* All of our axes go from 0 to 1, but with a varying number of
* values data is given at
*/
struct TrivialFixture {
typedef Opm::detail::VFPEvaluation VFPEvaluation;
TrivialFixture() : table_ids(1, 1),
thp_axis{0.0, 1.0},
wfr_axis{0.0, 0.5, 1.0},
gfr_axis{0.0, 0.25, 0.5, 0.75, 1},
alq_axis{0.0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1},
flo_axis{0.0, 0.0625, 0.125, 0.1875, 0.25, 0.3125, 0.375, 0.4375,
0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875, 0.9375, 1},
nx(thp_axis.size()),
ny(wfr_axis.size()),
nz(gfr_axis.size()),
nu(alq_axis.size()),
nv(flo_axis.size()),
size{{ nx, ny, nz, nu, nv }},
data(size)
{
}
~TrivialFixture() {
}
/**
* Fills our interpolation data with zeros
*/
inline void fillData(double value) {
for (int i=0; i<nx; ++i) {
for (int j=0; j<ny; ++j) {
for (int k=0; k<nz; ++k) {
for (int l=0; l<nu; ++l) {
for (int m=0; m<nv; ++m) {
data[i][j][k][l][m] = value;
}
}
}
}
}
}
/**
* Fills our interpolation data with an ND plane
*/
inline void fillDataPlane() {
for (int i=0; i<nx; ++i) {
double x = i / static_cast<double>(nx-1);
for (int j=0; j<ny; ++j) {
double y = j / static_cast<double>(ny-1);
for (int k=0; k<nz; ++k) {
double z = k / static_cast<double>(nz-1);
for (int l=0; l<nu; ++l) {
double u = l / static_cast<double>(nu-1);
for (int m=0; m<nv; ++m) {
double v = m / static_cast<double>(nv-1);
// table[thp_idx][wfr_idx][gfr_idx][alq_idx][flo_idx];
data[i][j][k][l][m] = x + 2*y + 3*z + 4*u + 5*v;
}
}
}
}
}
}
/**
* Fills our interpolation data with "random" values
*/
inline void fillDataRandom() {
unsigned long randx = 42;
static double max_val = static_cast<double>(std::numeric_limits<unsigned long>::max());
for (int i=0; i<nx; ++i) {
for (int j=0; j<ny; ++j) {
for (int k=0; k<nz; ++k) {
for (int l=0; l<nu; ++l) {
for (int m=0; m<nv; ++m) {
data[i][j][k][l][m] = randx / max_val;
randx = (randx*1103515245 + 12345);
}
}
}
}
}
}
inline void initProperties() {
table.reset(new Opm::VFPProdTable(1,
1000.0,
Opm::VFPProdTable::FLO_OIL,
Opm::VFPProdTable::WFR_WOR,
Opm::VFPProdTable::GFR_GOR,
Opm::VFPProdTable::ALQ_UNDEF,
flo_axis,
thp_axis,
wfr_axis,
gfr_axis,
alq_axis,
data));
properties.reset(new Opm::VFPProdProperties(table.get()));
}
std::shared_ptr<Opm::VFPProdProperties> properties;
std::shared_ptr<Opm::VFPProdTable> table;
std::vector<int> table_ids;
private:
const std::vector<double> thp_axis;
const std::vector<double> wfr_axis;
const std::vector<double> gfr_axis;
const std::vector<double> alq_axis;
const std::vector<double> flo_axis;
int nx;
int ny;
int nz;
int nu;
int nv;
Opm::VFPProdTable::extents size;
Opm::VFPProdTable::array_type data;
};
//Set F to be our test suite fixture for our "trivial" tests
BOOST_FIXTURE_TEST_SUITE( TrivialTests, TrivialFixture )
/**
* Test that we can generate some dummy zero-data,
* interpolate using doubles as input, and compare against the analytic solution
*/
BOOST_AUTO_TEST_CASE(InterpolateZero)
{
fillData(0.0);
initProperties();
//Check interpolation
double sum = 0.0;
int n=5;
for (int i=1; i<n; ++i) {
const double x = i / static_cast<double>(n-1);
for (int j=1; j<n; ++j) {
const double y = j / static_cast<double>(n-1);
for (int k=1; k<n; ++k) {
const double z = k / static_cast<double>(n-1);
for (int l=0; l<n; ++l) {
const double u = l / static_cast<double>(n-1);
for (int m=0; m<n; ++m) {
const double v = m / static_cast<double>(n-1);
//Note order of arguments!
sum += properties->bhp(1, v, x, y, z, u);
}
}
}
}
}
BOOST_CHECK_EQUAL(sum, 0.0);
}
/**
* Test that we can generate some dummy one-data,
* interpolate using doubles as input, and compare against the analytic solution
*/
BOOST_AUTO_TEST_CASE(InterpolateOne)
{
fillData(1.0);
initProperties();
//Check interpolation
double sum = 0.0;
int n=5;
for (int i=1; i<n; ++i) {
const double x = i / static_cast<double>(n-1);
for (int j=1; j<n; ++j) {
const double y = j / static_cast<double>(n-1);
for (int k=1; k<n; ++k) {
const double z = k / static_cast<double>(n-1);
for (int l=0; l<n; ++l) {
const double u = l / static_cast<double>(n-1);
for (int m=0; m<n; ++m) {
const double v = m / static_cast<double>(n-1);
//Note order of arguments!
const double value = properties->bhp(1, v, x, y, z, u);
sum += value;
}
}
}
}
}
double reference = (n-1)*(n-1)*(n-1)*n*n;
BOOST_CHECK_EQUAL(sum, reference);
}
/**
* Test that we can generate some dummy data representing an ND plane,
* interpolate using doubles as input, and compare against the analytic solution
*/
BOOST_AUTO_TEST_CASE(InterpolatePlane)
{
const int n=5;
fillDataPlane();
initProperties();
//Temps used to store reference and actual variables
double sad = 0.0;
double max_d = 0.0;
//Check interpolation
for (int i=0; i<=n; ++i) {
const double thp = i / static_cast<double>(n);
for (int j=1; j<=n; ++j) {
const double aqua = -j / static_cast<double>(n);
for (int k=1; k<=n; ++k) {
const double vapour = -k / static_cast<double>(n);
for (int l=0; l<=n; ++l) {
const double alq = l / static_cast<double>(n);
for (int m=1; m<=n; ++m) {
const double liquid = -m / static_cast<double>(n);
//Find values that should be in table
double flo = Opm::detail::getFlo(aqua, liquid, vapour, table->getFloType());
double wfr = Opm::detail::getWFR(aqua, liquid, vapour, table->getWFRType());
double gfr = Opm::detail::getGFR(aqua, liquid, vapour, table->getGFRType());
//Calculate reference
double reference = thp + 2*wfr + 3*gfr+ 4*alq - 5*flo;
//Calculate actual
//Note order of arguments: id, aqua, liquid, vapour, thp, alq
double actual = properties->bhp(1, aqua, liquid, vapour, thp, alq);
double abs_diff = std::abs(actual - reference);
max_d = std::max(max_d, abs_diff);
sad = sad + abs_diff;
}
}
}
}
}
BOOST_CHECK_SMALL(max_d, max_d_tol);
BOOST_CHECK_SMALL(sad, sad_tol);
}
/**
* Test that we can generate some dummy data representing an ND plane,
* interpolate using doubles as input, and compare against the analytic solution
*/
BOOST_AUTO_TEST_CASE(ExtrapolatePlane)
{
fillDataPlane();
initProperties();
//Check linear extrapolation (i.e., using values of x, y, etc. outside our interpolant domain)
double sum = 0.0;
double reference_sum = 0.0;
double sad = 0.0; // Sum absolute difference
double max_d = 0.0; // Maximum difference
int n=1;
int o=5;
for (int i=0; i<=n+o; ++i) {
const double x = i / static_cast<double>(n);
for (int j=1; j<=n+o; ++j) {
const double aqua = -j / static_cast<double>(n);
for (int k=1; k<=n+o; ++k) {
const double vapour = -k / static_cast<double>(n);
for (int l=0; l<=n+o; ++l) {
const double u = l / static_cast<double>(n);
for (int m=1; m<=n+o; ++m) {
const double liquid = -m / static_cast<double>(n);
//Find values that should be in table
double v = Opm::detail::getFlo(aqua, liquid, vapour, table->getFloType());
double y = Opm::detail::getWFR(aqua, liquid, vapour, table->getWFRType());
double z = Opm::detail::getGFR(aqua, liquid, vapour, table->getGFRType());
double reference = x + 2*y + 3*z+ 4*u - 5*v;
reference_sum += reference;
//Note order of arguments! id, aqua, liquid, vapour, thp , alq
double value = properties->bhp(1, aqua, liquid, vapour, x, u);
sum += value;
double abs_diff = std::abs(value - reference);
sad += std::abs(abs_diff);
max_d = std::max(max_d, abs_diff);
}
}
}
}
}
BOOST_CHECK_CLOSE(sum, reference_sum, 0.0001);
BOOST_CHECK_SMALL(max_d, max_d_tol);
BOOST_CHECK_SMALL(sad, sad_tol);
}
/**
* Test that the partial derivatives are reasonable
*/
BOOST_AUTO_TEST_CASE(PartialDerivatives)
{
const int n=5;
fillDataPlane();
initProperties();
//Temps used to store reference and actual variables
VFPEvaluation sad;
VFPEvaluation max_d;
//Check interpolation
for (int i=0; i<=n; ++i) {
const double thp = i / static_cast<double>(n);
for (int j=1; j<=n; ++j) {
const double aqua = -j / static_cast<double>(n);
for (int k=1; k<=n; ++k) {
const double vapour = -k / static_cast<double>(n);
for (int l=0; l<=n; ++l) {
const double alq = l / static_cast<double>(n);
for (int m=1; m<=n; ++m) {
const double liquid = -m / static_cast<double>(n);
//Find values that should be in table
double flo = Opm::detail::getFlo(aqua, liquid, vapour, table->getFloType());
double wfr = Opm::detail::getWFR(aqua, liquid, vapour, table->getWFRType());
double gfr = Opm::detail::getGFR(aqua, liquid, vapour, table->getGFRType());
//Calculate reference
VFPEvaluation reference;
reference.value = thp + 2*wfr + 3*gfr+ 4*alq - 5*flo;
reference.dthp = 1;
reference.dwfr = 2;
reference.dgfr = 3;
reference.dalq = 4;
reference.dflo = 5;
//Calculate actual
//Note order of arguments: id, aqua, liquid, vapour, thp, alq
VFPEvaluation actual = Opm::detail::bhp(table.get(), aqua, liquid, vapour, thp, alq);
VFPEvaluation abs_diff = actual - reference;
abs_diff.value = std::abs(abs_diff.value);
abs_diff.dthp = std::abs(abs_diff.dthp);
abs_diff.dwfr = std::abs(abs_diff.dwfr);
abs_diff.dgfr = std::abs(abs_diff.dgfr);
abs_diff.dalq = std::abs(abs_diff.dalq);
abs_diff.dflo = std::abs(abs_diff.dflo);
max_d.value = std::max(max_d.value, abs_diff.value);
max_d.dthp = std::max(max_d.dthp, abs_diff.dthp);
max_d.dwfr = std::max(max_d.dwfr, abs_diff.dwfr);
max_d.dgfr = std::max(max_d.dgfr, abs_diff.dgfr);
max_d.dalq = std::max(max_d.dalq, abs_diff.dalq);
max_d.dflo = std::max(max_d.dflo, abs_diff.dflo);
sad = sad + abs_diff;
}
}
}
}
}
BOOST_CHECK_SMALL(max_d.value, max_d_tol);
BOOST_CHECK_SMALL(max_d.dthp, max_d_tol);
BOOST_CHECK_SMALL(max_d.dwfr, max_d_tol);
BOOST_CHECK_SMALL(max_d.dgfr, max_d_tol);
BOOST_CHECK_SMALL(max_d.dalq, max_d_tol);
BOOST_CHECK_SMALL(max_d.dflo, max_d_tol);
BOOST_CHECK_SMALL(sad.value, sad_tol);
BOOST_CHECK_SMALL(sad.dthp, sad_tol);
BOOST_CHECK_SMALL(sad.dwfr, sad_tol);
BOOST_CHECK_SMALL(sad.dgfr, sad_tol);
BOOST_CHECK_SMALL(sad.dalq, sad_tol);
BOOST_CHECK_SMALL(sad.dflo, sad_tol);
}
BOOST_AUTO_TEST_CASE(THPToBHPAndBackPlane)
{
fillDataPlane();
initProperties();
double aqua = -0.5;
double liquid = -0.9;
double vapour = -0.1;
double thp = 50.0;
double alq = 32.9;
double bhp_val = properties->bhp(1, aqua, liquid, vapour, thp, alq);
double thp_val = properties->thp(1, aqua, liquid, vapour, bhp_val, alq);
BOOST_CHECK_CLOSE(thp_val, thp, max_d_tol);
}
BOOST_AUTO_TEST_CASE(THPToBHPAndBackNonTrivial)
{
fillDataRandom();
initProperties();
double aqua = -0.5;
double liquid = -0.9;
double vapour = -0.1;
double thp = 50.0;
double alq = 32.9;
double bhp_val = properties->bhp(1, aqua, liquid, vapour, thp, alq);
double thp_val = properties->thp(1, aqua, liquid, vapour, bhp_val, alq);
BOOST_CHECK_CLOSE(thp_val, thp, max_d_tol);
}
BOOST_AUTO_TEST_SUITE_END() // Trivial tests
BOOST_AUTO_TEST_SUITE(IntegrationTests)
extern const double reference[];
/**
* Uses a VFP table that should be linear in THP vs BHP,
* so that
* bhp(aqua, liquid, vapour, thp, alq) == 0.0 for thp == 0.0,
* and
* bhp(aqua, liquid, vapour, thp, alq) == 1.0 for thp == 1.0,
*/
BOOST_AUTO_TEST_CASE(ParseInterpolateLine)
{
std::string table_str = "\
-- VFP table that is basically the identity: BHP == THP \n\
-- In our case, we simply degenerate all axes except the THP axis \n\
-- and set that bhp(flo, thp, wfr, gfr, alq) = 0 for thp = 0, and 1 for thp = 1. \n\
-- The value of flo, wfr, gfr, alq, should all be irrelevant. \n\
VFPPROD \n\
-- table_num, datum_depth, flo, wfr, gfr, pressure, alq, unit, table_vals \n\
42 7.0E+03 LIQ WCT GOR THP ' ' FIELD BHP / \n\
1.0 / flo axis \n\
0.0 1.0 / THP axis \n\
0.0 / WFR axis \n\
0.0 / GFR axis \n\
0.0 / ALQ axis \n\
-- Table itself: thp_idx wfr_idx gfr_idx alq_idx <vals> \n\
1 1 1 1 0.0 / \n\
2 1 1 1 1.0 / \n\
";
auto units = Opm::UnitSystem::newFIELD();
Opm::Parser parser;
auto deck = parser.parseString(table_str);
BOOST_REQUIRE(deck.hasKeyword("VFPPROD"));
BOOST_CHECK_EQUAL(deck.count("VFPPROD"), 1);
Opm::VFPProdTable table(deck.getKeyword("VFPPROD", 0), units);
Opm::VFPProdProperties properties(&table);
const int n = 5; //Number of points to check per axis
double bhp_sad = 0.0; //Sum of absolute difference
double bhp_max_d = 0.0; //Maximum difference
double thp_sad = 0.0;
double thp_max_d = 0.0;
for (int w=0; w<n; ++w) { //water
for (int o=0; o<n; ++o) { //oil
for (int g=0; g<n; ++g) { //gas
for (int t=0; t<n; ++t) { //thp
for (int a=0; a<n; ++a) { //alq
double aqua = w * 52.3;
double liquid = o * 9.9;
double vapour = g * 0.1;
double thp = t * 456.78;
double alq = a * 42.24;
double bhp_interp = properties.bhp(42, aqua, liquid, vapour, thp, alq);
double bhp_ref = thp;
double thp_interp = properties.thp(42, aqua, liquid, vapour, bhp_ref, alq);
double thp_ref = thp;
double bhp_diff = std::abs(bhp_interp - bhp_ref);
bhp_sad += bhp_diff;
bhp_max_d = std::max(bhp_diff, bhp_max_d);
double thp_diff = std::abs(thp_interp - thp_ref);
thp_sad += thp_diff;
thp_max_d = std::max(thp_diff, thp_max_d);
}
}
}
}
}
BOOST_CHECK_SMALL(bhp_max_d, max_d_tol);
BOOST_CHECK_SMALL(bhp_sad, sad_tol);
BOOST_CHECK_SMALL(thp_max_d, max_d_tol);
BOOST_CHECK_SMALL(thp_sad, sad_tol);
}
/**
* Tests that we can actually parse some input data, and interpolate within that space
*/
BOOST_AUTO_TEST_CASE(ParseInterpolateRealisticVFPPROD)
{
auto units = Opm::UnitSystem::newMETRIC();
Opm::ParseContext parseContext;
Opm::ErrorGuard errorGuard;
Opm::Parser parser;
boost::filesystem::path file("VFPPROD2");
auto deck = parser.parseFile(file.string());
Opm::checkDeck(deck, parser, parseContext, errorGuard);
BOOST_REQUIRE(deck.hasKeyword("VFPPROD"));
BOOST_CHECK_EQUAL(deck.count("VFPPROD"), 1);
Opm::VFPProdTable table(deck.getKeyword("VFPPROD", 0), units);
Opm::VFPProdProperties properties(&table);
//Do some rudimentary testing
//Get the BHP as a function of rate, thp, wfr, gfr, alq
double liq[] = {100, 2942.8571428571427, 5785.7142857142853, 8628.5714285714294, 11471.428571428571, 14314.285714285714, 17157.142857142859, 20000};
double gor[] = {90, 1505.7142857142858, 2921.4285714285716, 4337.1428571428569, 5752.8571428571431, 7168.5714285714284, 8584.2857142857138, 10000};
double wct[] = {0, 0.14285714285714285, 0.2857142857142857, 0.42857142857142855, 0.5714285714285714, 0.7142857142857143, 0.8571428571428571, 1};
double thp[] = {16.010000000000002, 22.438571428571429, 28.867142857142859, 35.295714285714283, 41.724285714285713, 48.152857142857144, 54.581428571428575, 61.009999999999998};
int n = sizeof(liq) / sizeof(liq[0]);
int i = 0;
double sad = 0.0; //Sum of absolute difference
double max_d = 0.0; //Maximum difference
for (int t=0; t<n; ++t) {
for (int w=0; w<n; ++w) {
for (int g=0; g<n; ++g) {
//for (unsigned int a=0; a<n; ++a) { //n==1, skip this loop
for (int f=0; f<n; ++f) {
//Liq given as SM3/day => convert to SM3/second
double f_i = -liq[f]*1.1574074074074073e-05;
//THP given as BARSA => convert to Pascal
double t_i = thp[t]*100000.0;
//WCT given as fraction, SM3/SM3
double w_i = wct[w];
//GOR given as SM3 / SM3
double g_i = gor[g];
//ALQ unit not relevant in this case
double a_i = 0.0;
//Now reconstruct possible aqua, liquid,
//and vapour phase compositions that satisfy the above
//liq[f] = aqua + liquid
//wct[w] = aqua / (aqua + liquid)
//gor[g] = vapour / liquid
//
// aqua = wct[w] * liq[f]
// liquid = liq[f] - aqua
// vapour = gor[g] * liquid
double aqua = w_i * f_i;
double liquid = f_i - aqua;
double vapour = g_i * liquid;
if ((aqua + liquid) == 0.0 || liquid == 0.0) {
//FIXME: This skips some corner cases, when
//getWFR(...) and getGFR(...) are infinite
}
else {
//Value given as pascal, convert to barsa for comparison with reference
double value_i = properties.bhp(32, aqua, liquid, vapour, t_i, a_i) * 10.0e-6;
double abs_diff = std::abs(value_i - reference[i]);
sad += abs_diff;
max_d = std::max(max_d, abs_diff);
}
++i;
}
//}
}
}
}
BOOST_CHECK_SMALL(max_d, max_d_tol);
BOOST_CHECK_SMALL(sad, sad_tol);
}
/**
* Reference computed using MATLAB with the input above.
*/
const double reference[] = {
44.850000000000001, 30.36904761904762, 40.238928571428566, 53.221714285714292, 67.885571428571438, 83.100857142857151, 99.021000000000015, 115.14, 27.986149999999999, 76.394680612244898, 146.58456352040815, 227.73038755102044, 323.29702921768705, 433.02474183673473, 519.09348404081641, 596.70497857142868, 25.483874999999998, 135.96136479591837, 276.35715114795914, 452.68607295918366, 676.76830807823114, 945.81213010204078, 1108.470853367347, 1234.3462321428572, 22.9816, 195.52804897959183, 406.12973877551008, 677.64175836734682, 1030.2395869387753, 1458.5995183673467, 1697.8482226938775, 1871.9874857142856, 21.93648, 260.13428359183678, 566.16254540816328, 972.26681151020421, 1344.8295676190476, 1774.9372779591836, 2013.0210626204084, 2185.0791771428571, 22.174319999999998, 329.1776176326531, 752.83812551020401, 1328.232636244898, 1625.1862990476188, 1918.3098995918363, 2086.7690417469385, 2212.4194514285709, 22.412159999999997, 398.22095167346936, 939.51370561224473, 1684.198460979592, 1905.5430304761903, 2061.6825212244894, 2160.5170208734694, 2239.7597257142857, 22.649999999999999, 467.26428571428573, 1126.1892857142857, 2040.1642857142861, 2185.8997619047618, 2205.0551428571425, 2234.2649999999999, 2267.0999999999999, 45.935714285714283, 31.165795918367351, 39.937755102040811, 52.72722448979593, 66.603455782312921, 81.156040816326524, 96.557926530612264, 112.18714285714286, 29.541501020408166, 68.10885813411079, 127.61792838921284, 195.14191513119539, 273.51727814382895, 362.26484685131197, 464.80925879300298, 571.05809489795934, 26.418334183673469, 118.58690218658893, 235.65489568148689, 377.46362485422748, 554.83594890670554, 764.83203053935858, 1015.1273887900876, 1276.0984719387757, 23.295167346938779, 169.06494623906704, 343.69186297376086, 559.7853345772595, 836.15461966958196, 1167.3992142274051, 1565.4455187871722, 1981.1388489795918, 21.823392653061227, 222.83265130417885, 472.45379858600586, 795.44837871720142, 1174.8842335704569, 1543.4152790437317, 1945.2266863183679, 2358.5925306122449, 21.805595102040819, 279.49675619825075, 619.46314463556848, 1078.076089212828, 1564.1616228338191, 1896.0542676618074, 2174.8576629877552, 2447.6207346938772, 21.787797551020411, 336.16086109232265, 766.47249068513111, 1360.7037997084549, 1953.4390120971816, 2248.6932562798829, 2404.4886396571433, 2536.64893877551, 21.770000000000003, 392.8249659863946, 913.48183673469384, 1643.331510204082, 2342.7164013605443, 2601.3322448979588, 2634.1196163265308, 2625.6771428571428, 47.03857142857143, 32.294666666666664, 39.655204081632654, 52.333755102040818, 66.056870748299303, 79.655795918367346, 94.904048979591849, 110.69571428571429, 31.4618112244898, 60.027269698736646, 109.31101308309036, 164.18323034985428, 226.53348555879492, 296.57316871720116, 377.61696073469392, 461.6498928571429, 27.707640306122446, 101.52058415937805, 197.02186251822158, 308.25257120991256, 443.23278785228376, 602.26389059766768, 794.2130148979594, 995.03794642857144, 23.953469387755103, 143.0138986200194, 284.73271195335275, 452.32191206997084, 659.93209014577235, 907.95461247813398, 1210.8090690612244, 1528.4259999999999, 22.096767346938773, 186.56175919922259, 385.1060212390671, 631.63031250145787, 943.5575367035957, 1305.3664132711372, 1664.3889660991258, 2019.3338204081635, 21.910702040816325, 231.91855601943632, 496.6280617784256, 841.96513350437328, 1286.1084689135077, 1783.5345340174924, 2150.5314876034986, 2472.8396897959183, 21.724636734693878, 277.27535283965011, 608.15010231778422, 1052.2999545072887, 1628.6594011234206, 2261.7026547638479, 2636.6740091078714, 2926.3455591836728, 21.53857142857143, 322.6321496598639, 719.67214285714283, 1262.6347755102042, 1971.210333333333, 2739.8707755102037, 3122.8165306122451, 3379.8514285714286, 48.172142857142859, 34.1152925170068, 39.812755102040818, 51.5600612244898, 65.615465986394554, 79.399040816326519, 94.464034693877551, 109.96857142857144, 33.996096428571427, 52.22108403790088, 92.038355357142862, 135.3683000145773, 183.62870803692908, 237.10243908163267, 298.29584687172019, 361.59696479591844, 29.556062499999996, 84.769836188046639, 160.74966900510205, 246.17866242711372, 346.31590522351797, 462.23331913265304, 600.79137528425667, 745.49898852040815, 25.116028571428572, 117.3185883381924, 229.46098265306119, 356.98902483965014, 509.00310241010675, 687.36419918367335, 903.28690369679305, 1129.4010122448979, 22.869793469387755, 151.34435734499516, 305.45451635568514, 488.96920695043741, 713.93443163848406, 980.47258414577254, 1273.7336899620996, 1572.743070204082, 22.555100408163263, 186.67057383090378, 387.85972008746353, 639.58847130029164, 956.05983537803672, 1333.4321309271136, 1704.0085286822157, 2068.4194277551019, 22.240407346938778, 221.99679031681239, 470.26492381924197, 790.20773565014576, 1198.1852391175898, 1686.3916777084546, 2134.2833674023323, 2564.0957853061223, 21.925714285714285, 257.32300680272107, 552.67012755102041, 940.82700000000011, 1440.3106428571427, 2039.3512244897956, 2564.5582061224495, 3059.7721428571431, 49.354285714285716, 36.632401360544222, 40.749489795918372, 51.042102040816339, 64.626265306122448, 78.587408163265295, 93.677473469387763, 109.11500000000001, 37.089295408163267, 45.091101822157441, 75.658611279154542, 108.27292311953356, 143.6558939091351, 182.14881000000003, 225.54025218513127, 270.28158724489799, 32.070335459183667, 68.480038083090392, 125.77860782616619, 188.00535940233243, 258.06514529276001, 337.00742500000001, 429.65019986516046, 526.05641198979606, 27.051375510204085, 91.868974344023314, 175.89860437317788, 267.73779568513123, 372.47439667638486, 491.86603999999994, 633.76014754518962, 781.8312367346939, 24.361997551020409, 116.59068105733722, 229.69027080174931, 358.0967598367348, 509.27644487949482, 684.21993831486884, 893.97807862099171, 1113.227684489796, 23.723712653061227, 142.48583272303208, 286.71467883381922, 457.81190791836747, 665.79435214188538, 909.58676159766753, 1203.596587107872, 1511.2055991836733, 23.085427755102046, 168.38098438872692, 343.73908686588919, 557.52705600000002, 822.31225940427601, 1134.9535848804665, 1513.2150955947525, 1909.1835138775511, 22.447142857142858, 194.27613605442178, 400.76349489795916, 657.24220408163274, 978.83016666666674, 1360.3204081632653, 1822.8336040816332, 2307.1614285714286, 50.617142857142852, 39.906816326530617, 42.617091836734701, 51.005673469387752, 63.234959183673467, 77.057918367346929, 92.260159183673466, 107.80571428571429, 40.776480612244896, 38.911281467444127, 60.277890889212827, 82.987050962099119, 106.68821241010689, 131.81003072886296, 159.38756669970846, 187.64996326530607, 35.347721938775507, 52.83015575801749, 92.067141217201154, 133.48505947521866, 177.94073199708453, 226.06629431486877, 280.09702088921279, 335.75996938775506, 29.918963265306125, 66.749030048590868, 123.8563915451895, 183.98306798833818, 249.19325158406212, 320.32255790087459, 400.8064750787172, 483.86997551020397, 26.750765714285716, 82.291052559766769, 157.43245227405248, 238.17180960932944, 328.07747020019428, 428.1440934110787, 543.3114419311953, 662.60384408163259, 25.572891428571427, 99.262184699708428, 192.58171988338188, 295.61007715451888, 413.6810594985422, 547.90924594752164, 705.00638577725942, 868.30065795918335, 24.395017142857142, 116.23331683965013, 227.73098749271128, 353.04834469970837, 499.28464879689005, 667.67439848396486, 866.70132962332332, 1073.9974718367343, 23.217142857142857, 133.2044489795918, 262.88025510204073, 410.48661224489791, 584.88823809523797, 787.43955102040798, 1028.3962734693878, 1279.6942857142853, 52.738571428571426, 45.757020408163264, 48.553826530612241, 55.025673469387762, 64.719925170068024, 76.397102040816335, 89.947404081632669, 103.97000000000001, 46.110853061224489, 34.359456734693879, 50.171643075801747, 68.670724868804683, 88.639938770651099, 108.26501833819242, 130.09957911953356, 152.66118265306122, 41.898091836734693, 39.401489455782318, 62.716569059766769, 88.206411880466504, 115.47130470116619, 143.54486392128285, 174.55314348396507, 206.44164030612248, 37.685330612244897, 44.443522176870758, 75.261495043731799, 107.74209889212833, 142.30267063168128, 178.82470950437326, 219.00670784839659, 260.22209795918377, 34.710051428571418, 50.933008283770675, 90.002424650145798, 131.07079234985429, 175.23425387366382, 222.83772099125378, 275.84280280000019, 330.33638285714301, 32.82432, 58.696912551992227, 106.67683752186591, 157.73905884548111, 213.53680643731784, 274.53989562682227, 343.58116377142875, 414.83187428571443, 30.938588571428571, 66.460816820213807, 123.35125039358604, 184.40732534110799, 251.83935900097188, 326.24207026239083, 411.31952474285731, 499.32736571428597, 29.052857142857142, 74.224721088435388, 140.02566326530615, 211.07559183673482, 290.14191156462596, 377.94424489795932, 479.05788571428604, 583.8228571428574, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 55.719999999999999, 56.041142857142859, 58.831428571428567, 63.686, 70.667999999999992, 79.513714285714286, 90.825885714285718, 102.8, 51.667142857142856, 38.150993197278915, 46.123418367346943, 58.862530612244903, 72.392680272108834, 86.932122448979598, 102.44057142857145, 118.19000000000001, 36.737085714285712, 78.681847376093302, 147.68909836005832, 228.42912478134116, 323.77457259475216, 433.46749090379006, 519.45052589795932, 596.94770102040832, 33.537571428571425, 137.47412621477164, 277.03675501093295, 453.19456997084558, 677.1337764820214, 946.44425262390666, 1109.0459455612245, 1234.7325484693879, 30.338057142857142, 196.26640505344994, 406.38441166180746, 677.96001516034994, 1030.4929803692903, 1459.4210143440232, 1698.6413652244896, 1872.5173959183671, 28.767510612244898, 260.47091397084557, 566.23613620991262, 972.57374535276995, 1345.0269787988339, 1775.7268427288632, 2006.8385977830908, 2169.4720379591836, 28.631197551020406, 329.4406501302235, 752.94533230320701, 1328.6857758134111, 1625.3771151175897, 1918.8726842682213, 2067.2772747125364, 2166.3408824489798, 28.494884489795918, 398.41038628960149, 939.65452839650141, 1684.7978062740526, 1905.7272514363458, 2062.0185258075799, 2127.7159516419829, 2163.2097269387759, 28.358571428571427, 467.38012244897953, 1126.3637244897959, 2040.9098367346942, 2186.0773877551019, 2205.1643673469389, 2188.1546285714289, 2160.0785714285716, 52.691836734693887, 39.207446064139951, 46.021209912536449, 58.635965014577266, 72.00586200194364, 85.730583090379014, 100.84179825072889, 116.37122448979594, 38.363955830903791, 70.753435464389852, 128.93646681591005, 195.98940140774684, 274.10951577259482, 362.76185536026657, 465.13747088421508, 571.18281734693892, 34.686060131195333, 120.36070035054841, 236.48560342044985, 378.05111293211166, 555.29757485422749, 765.42883865056228, 1015.365437422949, 1275.8005025510206, 31.008164431486883, 169.9679652367069, 344.03474002498956, 560.11282445647657, 836.48563393586016, 1168.0958219408578, 1565.5934039616827, 1980.4181877551023, 29.111674693877553, 223.27484935943363, 472.57878237192847, 795.7818930179094, 1175.6237736173819, 1541.1590488463144, 1943.5790696826327, 2358.9462570262394, 28.783633469387752, 279.83908324642516, 619.60790301957513, 1078.649848989588, 1565.7843751553519, 1888.1574883465219, 2169.9130701674308, 2450.3669604664724, 28.455592244897957, 336.40331713341664, 766.63702366722202, 1361.5178049612664, 1955.9449766933221, 2235.1559278467303, 2396.2470706522286, 2541.7876639067053, 28.127551020408163, 392.96755102040822, 913.66614431486892, 1644.3857609329452, 2346.1055782312924, 2582.1543673469391, 2622.5810711370268, 2633.2083673469388, 53.735102040816329, 40.592748299319723, 46.133615160349862, 58.163556851311952, 72.280184645286695, 85.457813411078718, 100.37657376093297, 115.92224489795919, 40.280739795918372, 63.127442950159661, 110.94077505206162, 165.19745674302376, 227.30377448563098, 297.13873097042898, 378.09813556559777, 462.08359023323618, 36.09679846938775, 103.6278374600861, 198.06740243648477, 308.87415564348191, 443.82413957378867, 602.75549106622248, 794.74167538629752, 995.65453097667637, 31.912857142857145, 144.12823197001251, 285.19402982090799, 452.55085454394003, 660.3445046619463, 908.37225116201591, 1211.3852152069971, 1529.2254717201167, 29.754170670553933, 187.14265184839655, 385.2952358788005, 631.76578637234491, 943.91654054171863, 1305.7580015160349, 1665.1022951680138, 2020.4748324198254, 29.37863078717201, 232.37055895821186, 496.8199798958766, 842.27054757184521, 1286.5245825833676, 1783.9422556268219, 2151.4609740381511, 2474.46192909621, 29.003090903790088, 277.59846606802722, 608.34472391295299, 1052.7753087713454, 1629.1326246250173, 2262.126509737609, 2637.8196529082879, 2928.4490257725947, 28.627551020408163, 322.82637317784258, 719.86946793002915, 1263.2800699708457, 1971.7406666666666, 2740.3107638483962, 3124.1783317784261, 3382.4361224489794, 54.803367346938785, 42.551428571428573, 46.797383381924206, 57.572142857142865, 71.539344995140908, 85.460104956268225, 100.61364635568516, 116.17724489795918, 42.693486005830906, 55.870048124392618, 94.186250687213658, 136.75799064139943, 184.63798636817992, 237.87313567055395, 298.93549172469818, 362.13140255102047, 38.033330174927109, 87.307938872691949, 162.15424984381508, 247.05119118075808, 346.97676925239477, 462.82645914723031, 601.36159565493563, 746.05213392857161, 33.373174344023326, 118.74582962099126, 230.1222490004165, 357.34439172011662, 509.31555213660971, 687.77978262390661, 903.78769958517296, 1129.9728653061225, 30.866328221574342, 152.16257690851037, 305.73657149104542, 489.11916252811346, 714.15369324309313, 980.85748641649332, 1274.2146453297796, 1573.2922929154522, 30.255375276967932, 187.32161913758156, 388.0831407122032, 639.80749805081223, 956.41062413161171, 1333.9156692728029, 1704.513299996335, 2068.9096238483962, 29.644422332361518, 222.48066136665278, 470.4297099333611, 790.49583357351116, 1198.6675550201303, 1686.9738521291129, 2134.8119546628905, 2564.5269547813414, 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};
BOOST_AUTO_TEST_SUITE_END() // Integration tests//
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