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ENH: interpolationWeights: run-time selectable interpolation
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@ -26,6 +26,29 @@ License
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#include "TableBase.H"
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#include "Time.H"
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// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
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template<class Type>
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const Foam::interpolationWeights& Foam::TableBase<Type>::interpolator() const
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{
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if (interpolatorPtr_.empty())
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{
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// Re-work table into linear list
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tableSamples_.setSize(table_.size());
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forAll(table_, i)
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{
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tableSamples_[i] = table_[i].first();
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}
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interpolatorPtr_ = interpolationWeights::New
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(
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interpolationScheme_,
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tableSamples_
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);
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}
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return interpolatorPtr_();
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}
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// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
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template<class Type>
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@ -39,6 +62,10 @@ Foam::TableBase<Type>::TableBase(const word& name, const dictionary& dict)
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dict.lookupOrDefault<word>("outOfBounds", "clamp")
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)
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),
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interpolationScheme_
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(
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dict.lookupOrDefault<word>("interpolationScheme", "linear")
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),
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table_(),
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dimensions_(dimless)
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{}
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@ -49,8 +76,11 @@ Foam::TableBase<Type>::TableBase(const TableBase<Type>& tbl)
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:
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name_(tbl.name_),
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boundsHandling_(tbl.boundsHandling_),
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interpolationScheme_(tbl.interpolationScheme_),
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table_(tbl.table_),
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dimensions_(tbl.dimensions_)
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dimensions_(tbl.dimensions_),
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tableSamples_(tbl.tableSamples_),
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interpolatorPtr_(tbl.interpolatorPtr_)
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{}
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@ -307,6 +337,9 @@ void Foam::TableBase<Type>::convertTimeBase(const Time& t)
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scalar value = table_[i].first();
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table_[i].first() = t.userTimeToTime(value);
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}
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tableSamples_.clear();
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interpolatorPtr_.clear();
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}
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@ -325,88 +358,104 @@ Type Foam::TableBase<Type>::value(const scalar x) const
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return table_.last().second();
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}
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// Find i such that x(i) < xDash < x(i+1)
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label i = 0;
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while ((table_[i+1].first() < xDash) && (i+1 < table_.size()))
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// Use interpolator
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interpolator().valueWeights(x, currentIndices_, currentWeights_);
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Type t = currentWeights_[0]*table_[currentIndices_[0]].second();
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for (label i = 1; i < currentIndices_.size(); i++)
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{
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i++;
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t += currentWeights_[i]*table_[currentIndices_[i]].second();
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}
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return t;
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Info <<
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(xDash - table_[i].first())/(table_[i+1].first() - table_[i].first())
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* (table_[i+1].second() - table_[i].second())
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+ table_[i].second() << endl;
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// Linear interpolation to find value
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return Type
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(
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(xDash - table_[i].first())/(table_[i+1].first() - table_[i].first())
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* (table_[i+1].second() - table_[i].second())
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+ table_[i].second()
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);
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//// Find i such that x(i) < xDash < x(i+1)
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//label i = 0;
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//while ((table_[i+1].first() < xDash) && (i+1 < table_.size()))
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//{
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// i++;
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//}
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//
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//// Linear interpolation to find value
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//return Type
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//(
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// (xDash - table_[i].first())/(table_[i+1].first() - table_[i].first())
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// * (table_[i+1].second() - table_[i].second())
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// + table_[i].second()
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//);
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}
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template<class Type>
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Type Foam::TableBase<Type>::integrate(const scalar x1, const scalar x2) const
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{
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// Initialise return value
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Type sum = pTraits<Type>::zero;
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// Use interpolator
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interpolator().integrationWeights(x1, x2, currentIndices_, currentWeights_);
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// Return zero if out of bounds
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if ((x1 > table_.last().first()) || (x2 < table_[0].first()))
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Type sum = currentWeights_[0]*table_[currentIndices_[0]].second();
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for (label i = 1; i < currentIndices_.size(); i++)
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{
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return sum;
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sum += currentWeights_[i]*table_[currentIndices_[i]].second();
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}
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// Find next index greater than x1
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label id1 = 0;
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while ((table_[id1].first() < x1) && (id1 < table_.size()))
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{
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id1++;
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}
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// Find next index less than x2
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label id2 = table_.size() - 1;
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while ((table_[id2].first() > x2) && (id2 >= 1))
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{
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id2--;
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}
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if ((id1 - id2) == 1)
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{
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// x1 and x2 lie within 1 interval
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sum = 0.5*(value(x1) + value(x2))*(x2 - x1);
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}
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else
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{
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// x1 and x2 cross multiple intervals
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// Integrate table body
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for (label i=id1; i<id2; i++)
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{
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sum +=
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(table_[i].second() + table_[i+1].second())
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* (table_[i+1].first() - table_[i].first());
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}
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sum *= 0.5;
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// Add table ends (partial segments)
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if (id1 > 0)
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{
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sum += 0.5
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* (value(x1) + table_[id1].second())
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* (table_[id1].first() - x1);
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}
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if (id2 < table_.size() - 1)
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{
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sum += 0.5
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* (table_[id2].second() + value(x2))
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* (x2 - table_[id2].first());
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}
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}
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return sum;
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//// Initialise return value
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//Type sum = pTraits<Type>::zero;
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//
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//// Return zero if out of bounds
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//if ((x1 > table_.last().first()) || (x2 < table_[0].first()))
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//{
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// return sum;
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//}
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//
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//// Find next index greater than x1
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//label id1 = 0;
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//while ((table_[id1].first() < x1) && (id1 < table_.size()))
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//{
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// id1++;
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//}
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//
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//// Find next index less than x2
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//label id2 = table_.size() - 1;
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//while ((table_[id2].first() > x2) && (id2 >= 1))
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//{
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// id2--;
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//}
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//
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//if ((id1 - id2) == 1)
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//{
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// // x1 and x2 lie within 1 interval
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// sum = 0.5*(value(x1) + value(x2))*(x2 - x1);
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//}
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//else
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//{
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// // x1 and x2 cross multiple intervals
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//
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// // Integrate table body
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// for (label i=id1; i<id2; i++)
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// {
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// sum +=
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// (table_[i].second() + table_[i+1].second())
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// * (table_[i+1].first() - table_[i].first());
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// }
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// sum *= 0.5;
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//
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// // Add table ends (partial segments)
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// if (id1 > 0)
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// {
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// sum += 0.5
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// * (value(x1) + table_[id1].second())
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// * (table_[id1].first() - x1);
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// }
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// if (id2 < table_.size() - 1)
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// {
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// sum += 0.5
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// * (table_[id2].second() + value(x2))
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// * (x2 - table_[id2].first());
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// }
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//}
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//
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//return sum;
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}
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