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+
+#include "cvc4_private.h"
+
+#pragma once
+
+#include "util/statistics_registry.h"
+#include "theory/arith/arithvar.h"
+#include "theory/arith/linear_equality.h"
+#include "util/dense_map.h"
+#include <vector>
+
+namespace CVC4 {
+namespace theory {
+namespace arith {
+
+
+class ApproximateSimplex{
+protected:
+ int d_pivotLimit;
+
+public:
+
+ static bool enabled();
+
+ /**
+ * If glpk is enabled, return a subclass that can do something.
+ * If glpk is disabled, return a sublass that does nothing.
+ */
+ static ApproximateSimplex* mkApproximateSimplexSolver(const ArithVariables& vars);
+ ApproximateSimplex();
+ virtual ~ApproximateSimplex(){}
+
+ /** A result is either sat, unsat or unknown.*/
+ enum ApproxResult {ApproxError, ApproxSat, ApproxUnsat};
+ struct Solution {
+ DenseSet newBasis;
+ DenseMap<DeltaRational> newValues;
+ Solution() : newBasis(), newValues(){}
+ };
+
+ /** Sets a deterministic effort limit. */
+ void setPivotLimit(int pivotLimit);
+
+ /** Sets a maximization criteria for the approximate solver.*/
+ virtual void setOptCoeffs(const ArithRatPairVec& ref) = 0;
+
+ virtual ApproxResult solveRelaxation() = 0;
+ virtual Solution extractRelaxation() const = 0;
+
+ virtual ApproxResult solveMIP() = 0;
+ virtual Solution extractMIP() const = 0;
+
+ static void applySolution(LinearEqualityModule& linEq, const Solution& sol){
+ linEq.forceNewBasis(sol.newBasis);
+ linEq.updateMany(sol.newValues);
+ }
+
+ /** UTILIES FOR DEALING WITH ESTIMATES */
+
+ static const double SMALL_FIXED_DELTA;
+ static const double TOLERENCE;
+
+ /** Returns true if two doubles are roughly equal based on TOLERENCE and SMALL_FIXED_DELTA.*/
+ static bool roughlyEqual(double a, double b);
+
+ /**
+ * Estimates a double as a Rational using continued fraction expansion that
+ * cuts off the estimate once the value is approximately zero.
+ * This is designed for removing rounding artifacts.
+ */
+ static Rational estimateWithCFE(double d);
+
+ /**
+ * Converts a rational to a continued fraction expansion representation
+ * using a maximum number of expansions equal to depth as long as the expression
+ * is not roughlyEqual() to 0.
+ */
+ static std::vector<Integer> rationalToCfe(const Rational& q, int depth);
+
+ /** Converts a continued fraction expansion representation to a rational. */
+ static Rational cfeToRational(const std::vector<Integer>& exp);
+
+ /** Estimates a rational as a continued fraction expansion.*/
+ static Rational estimateWithCFE(const Rational& q, int depth);
+};/* class ApproximateSimplex */
+
+
+}/* CVC4::theory::arith namespace */
+}/* CVC4::theory namespace */
+}/* CVC4 namespace */
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