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Refactoring/restructuring
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358
opm/autodiff/VFPHelpers.hpp
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358
opm/autodiff/VFPHelpers.hpp
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/*
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Copyright 2015 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef OPM_AUTODIFF_VFPHELPERS_HPP_
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#define OPM_AUTODIFF_VFPHELPERS_HPP_
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#include <opm/parser/eclipse/EclipseState/Tables/VFPProdTable.hpp>
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/**
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* This file contains a set of helper functions used by VFPProd / VFPInj.
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*/
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namespace Opm {
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namespace detail {
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typedef VFPProdProperties::ADB ADB;
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/**
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* Returns zero if input value is NaN
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*/
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inline double zeroIfNan(const double& value) {
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return (std::isnan(value)) ? 0.0 : value;
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}
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/**
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* Returns zero for every entry in the ADB which is NaN
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*/
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inline ADB zeroIfNan(const ADB& values) {
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Selector<ADB::V::Scalar> not_nan_selector(values.value(), Selector<ADB::V::Scalar>::NotNaN);
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const ADB::V z = ADB::V::Zero(values.size());
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const ADB zero = ADB::constant(z, values.blockPattern());
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ADB retval = not_nan_selector.select(values, zero);
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return retval;
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}
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/**
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* Computes the flo parameter according to the flo_type_
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* @return Production rate of oil, gas or liquid.
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*/
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template <typename T>
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static T getFlo(const T& aqua, const T& liquid, const T& vapour,
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const VFPProdTable::FLO_TYPE& type) {
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switch (type) {
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case VFPProdTable::FLO_OIL:
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//Oil = liquid phase
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return liquid;
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case VFPProdTable::FLO_LIQ:
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//Liquid = aqua + liquid phases
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return aqua + liquid;
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case VFPProdTable::FLO_GAS:
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//Gas = vapor phase
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return vapour;
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case VFPProdTable::FLO_INVALID: //Intentional fall-through
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default:
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OPM_THROW(std::logic_error, "Invalid FLO_TYPE: '" << type << "'");
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}
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}
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/**
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* Computes the wfr parameter according to the wfr_type_
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* @return Production rate of oil, gas or liquid.
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*/
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template <typename T>
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static T getWFR(const T& aqua, const T& liquid, const T& vapour,
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const VFPProdTable::WFR_TYPE& type) {
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switch(type) {
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case VFPProdTable::WFR_WOR: {
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//Water-oil ratio = water / oil
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T wor = aqua / liquid;
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return zeroIfNan(wor);
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}
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case VFPProdTable::WFR_WCT:
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//Water cut = water / (water + oil)
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return zeroIfNan(aqua / (aqua + liquid));
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case VFPProdTable::WFR_WGR:
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//Water-gas ratio = water / gas
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return zeroIfNan(aqua / vapour);
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case VFPProdTable::WFR_INVALID: //Intentional fall-through
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default:
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OPM_THROW(std::logic_error, "Invalid WFR_TYPE: '" << type << "'");
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}
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}
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/**
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* Computes the gfr parameter according to the gfr_type_
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* @return Production rate of oil, gas or liquid.
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*/
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template <typename T>
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static T getGFR(const T& aqua, const T& liquid, const T& vapour,
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const VFPProdTable::GFR_TYPE& type) {
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switch(type) {
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case VFPProdTable::GFR_GOR:
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// Gas-oil ratio = gas / oil
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return zeroIfNan(vapour / liquid);
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case VFPProdTable::GFR_GLR:
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// Gas-liquid ratio = gas / (oil + water)
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return zeroIfNan(vapour / (liquid + aqua));
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case VFPProdTable::GFR_OGR:
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// Oil-gas ratio = oil / gas
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return zeroIfNan(liquid / vapour);
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case VFPProdTable::GFR_INVALID: //Intentional fall-through
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default:
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OPM_THROW(std::logic_error, "Invalid GFR_TYPE: '" << type << "'");
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}
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}
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/**
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* Helper struct for linear interpolation
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*/
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struct InterpData {
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InterpData() : ind_{0, 0}, inv_dist_(0.0), factor_(0.0) {}
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int ind_[2]; //[First element greater than or equal to value, Last element smaller than or equal to value]
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double inv_dist_; // 1 / distance between the two end points of the segment. Used to calculate derivatives and uses 1.0 / 0.0 = 0.0 as a convention
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double factor_; // Interpolation factor
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};
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/**
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* Helper function to find indices etc. for linear interpolation
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*/
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inline InterpData findInterpData(const double& value, const std::vector<double>& values) {
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InterpData retval;
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//If we only have one value in our vector, return that
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if (values.size() == 1) {
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retval.ind_[0] = 0;
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retval.ind_[1] = 0;
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retval.inv_dist_ = 0.0;
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retval.factor_ = 0.0;
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}
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// Else search in the vector
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else {
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//First element greater than or equal to value
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//Start with the second element, so that floor_iter does not go out of range
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//Don't access out-of-range, therefore values.end()-1
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auto ceil_iter = std::lower_bound(values.begin()+1, values.end()-1, value);
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//Find last element smaller than range
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auto floor_iter = ceil_iter-1;
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//Find the indices
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retval.ind_[0] = floor_iter - values.begin();
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retval.ind_[1] = ceil_iter - values.begin();
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//Find interpolation ratio
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double dist = (*ceil_iter - *floor_iter);
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if (std::abs(dist) > 0.0) {
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//Possible source for floating point error here if value and floor are large,
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//but very close to each other
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retval.inv_dist_ = 1.0 / dist;
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retval.factor_ = (value-*floor_iter) * retval.inv_dist_;
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}
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else {
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retval.inv_dist_ = 0.0;
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retval.factor_ = 0.0;
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}
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}
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return retval;
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}
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/**
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* Helper function which interpolates data using the indices etc. given in the inputs.
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*/
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#ifdef __GNUC__
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#pragma GCC push_options
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#pragma GCC optimize ("unroll-loops")
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#endif
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inline VFPProdProperties::adb_like interpolate(
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const VFPProdTable::array_type& array,
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const InterpData& flo_i,
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const InterpData& thp_i,
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const InterpData& wfr_i,
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const InterpData& gfr_i,
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const InterpData& alq_i) {
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//Values and derivatives in a 5D hypercube
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VFPProdProperties::adb_like nn[2][2][2][2][2];
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//Pick out nearest neighbors (nn) to our evaluation point
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//This is not really required, but performance-wise it may pay off, since the 32-elements
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//we copy to (nn) will fit better in cache than the full original table for the
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//interpolation below.
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//The following ladder of for loops will presumably be unrolled by a reasonable compiler.
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for (int t=0; t<=1; ++t) {
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for (int w=0; w<=1; ++w) {
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for (int g=0; g<=1; ++g) {
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for (int a=0; a<=1; ++a) {
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for (int f=0; f<=1; ++f) {
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//Shorthands for indexing
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const int ti = thp_i.ind_[t];
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const int wi = wfr_i.ind_[w];
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const int gi = gfr_i.ind_[g];
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const int ai = alq_i.ind_[a];
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const int fi = flo_i.ind_[f];
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//Copy element
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nn[t][w][g][a][f].value = array[ti][wi][gi][ai][fi];
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}
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}
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}
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}
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}
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//Calculate derivatives
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//Note that the derivative of the two end points of a line aligned with the
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//"axis of the derivative" are equal
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for (int i=0; i<=1; ++i) {
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for (int j=0; j<=1; ++j) {
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for (int k=0; k<=1; ++k) {
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for (int l=0; l<=1; ++l) {
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nn[0][i][j][k][l].dthp = (nn[1][i][j][k][l].value - nn[0][i][j][k][l].value) * thp_i.inv_dist_;
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nn[i][0][j][k][l].dwfr = (nn[i][1][j][k][l].value - nn[i][0][j][k][l].value) * wfr_i.inv_dist_;
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nn[i][j][0][k][l].dgfr = (nn[i][j][1][k][l].value - nn[i][j][0][k][l].value) * gfr_i.inv_dist_;
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nn[i][j][k][0][l].dalq = (nn[i][j][k][1][l].value - nn[i][j][k][0][l].value) * alq_i.inv_dist_;
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nn[i][j][k][l][0].dflo = (nn[i][j][k][l][1].value - nn[i][j][k][l][0].value) * flo_i.inv_dist_;
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nn[1][i][j][k][l].dthp = nn[0][i][j][k][l].dthp;
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nn[i][1][j][k][l].dwfr = nn[i][0][j][k][l].dwfr;
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nn[i][j][1][k][l].dgfr = nn[i][j][0][k][l].dgfr;
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nn[i][j][k][1][l].dalq = nn[i][j][k][0][l].dalq;
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nn[i][j][k][l][1].dflo = nn[i][j][k][l][0].dflo;
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}
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}
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}
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}
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double t1, t2; //interpolation variables, so that t1 = (1-t) and t2 = t.
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// Remove dimensions one by one
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// Example: going from 3D to 2D to 1D, we start by interpolating along
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// the z axis first, leaving a 2D problem. Then interpolating along the y
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// axis, leaving a 1D, problem, etc.
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t2 = flo_i.factor_;
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t1 = (1.0-t2);
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for (int t=0; t<=1; ++t) {
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for (int w=0; w<=1; ++w) {
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for (int g=0; g<=1; ++g) {
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for (int a=0; a<=1; ++a) {
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nn[t][w][g][a][0] = t1*nn[t][w][g][a][0] + t2*nn[t][w][g][a][1];
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}
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}
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}
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}
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t2 = alq_i.factor_;
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t1 = (1.0-t2);
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for (int t=0; t<=1; ++t) {
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for (int w=0; w<=1; ++w) {
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for (int g=0; g<=1; ++g) {
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nn[t][w][g][0][0] = t1*nn[t][w][g][0][0] + t2*nn[t][w][g][1][0];
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}
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}
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}
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t2 = gfr_i.factor_;
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t1 = (1.0-t2);
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for (int t=0; t<=1; ++t) {
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for (int w=0; w<=1; ++w) {
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nn[t][w][0][0][0] = t1*nn[t][w][0][0][0] + t2*nn[t][w][1][0][0];
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}
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}
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t2 = wfr_i.factor_;
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t1 = (1.0-t2);
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for (int t=0; t<=1; ++t) {
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nn[t][0][0][0][0] = t1*nn[t][0][0][0][0] + t2*nn[t][1][0][0][0];
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}
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t2 = thp_i.factor_;
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t1 = (1.0-t2);
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nn[0][0][0][0][0] = t1*nn[0][0][0][0][0] + t2*nn[1][0][0][0][0];
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return nn[0][0][0][0][0];
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}
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#ifdef __GNUC__
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#pragma GCC pop_options //unroll loops
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#endif
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} // namespace detail
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} // namespace
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#endif /* OPM_AUTODIFF_VFPHELPERS_HPP_ */
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