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 #ifndef EXACTMATH_HPP
 #define EXACTMATH_HPP 1

 #include <stdlib.h>
 #include <cmath>
 #include <vector>
 #include <boost/array.hpp>

 using std::vector;
 using std::min;

 void fastTwoSum(double a, double b, double& res, double& err);

 void fastTwoDiff(double a, double b, double& res, double& err);

 void twoSum(double a, double b, double& res, double& err);

 void twoDiff(double a, double b, double& res, double& err);

 void split(double num, double& high, double& low);

 void twoProduct(double a, double b, double& res, double& err);

 void square(double num, double& res, double& err);

 boost::array<double,3> twoOneSum(boost::array<double,2> const& a, double b);

 boost::array<double,3> twoOneDiff(boost::array<double,2> const& a, double b);

 vector<double> twoTwoSum(boost::array<double,2> const& a,boost::array<double,2> const& b);

 vector<double> twoTwoDiff(boost::array<double,2> const& a, boost::array<double,2> const& b);

 vector<double> growExpansionZeroElim(vector<double> const& e, double b);

 vector<double> expansionSumZeroElim(vector<double> const& e, vector<double> const& f);

 vector<double> fastExpansionSumZeroElim(vector<double> const& e, vector<double> const& f);

 vector<double> linearExpansionSumZeroElim(vector<double> const& e, vector<double> const& f);

 void scaleExpansionZeroElim(vector<double> const& e, double b,
         vector<double> &result);

 vector<double> compress(vector<double> const& e);

 double estimate(vector<double> const& e);

 #endif //EXACTMATH_HPP
expansionSumZeroElim
vector< double > expansionSumZeroElim(vector< double > const &e, vector< double > const &f)
Adds up two expansions.
Definition: exactmath.cpp:173

twoDiff
void twoDiff(double a, double b, double &res, double &err)
Difference between two numbers.
Definition: exactmath.cpp:60

twoOneSum
boost::array< double, 3 > twoOneSum(boost::array< double, 2 > const &a, double b)
Calculates the sum of a two-expansion and a double.
Definition: exactmath.cpp:110

estimate
double estimate(vector< double > const &e)
Calculate a double precision approximation of the expansion.
Definition: exactmath.cpp:488

growExpansionZeroElim
vector< double > growExpansionZeroElim(vector< double > const &e, double b)
Adds a scalar to an existing expansion.
Definition: exactmath.cpp:150

twoTwoSum
vector< double > twoTwoSum(boost::array< double, 2 > const &a, boost::array< double, 2 > const &b)
Calculates the sum of two two-expansions.
Definition: exactmath.cpp:128

twoProduct
void twoProduct(double a, double b, double &res, double &err)
Product of two number.
Definition: exactmath.cpp:87

compress
vector< double > compress(vector< double > const &e)
Compresses an expansion.
Definition: exactmath.cpp:450

twoSum
void twoSum(double a, double b, double &res, double &err)
Calculates the sum of a and b.
Definition: exactmath.cpp:43

fastTwoDiff
void fastTwoDiff(double a, double b, double &res, double &err)
Subtracts two numbers.
Definition: exactmath.cpp:26

twoOneDiff
boost::array< double, 3 > twoOneDiff(boost::array< double, 2 > const &a, double b)
Calculates the difference between a two-expansion and a double.
Definition: exactmath.cpp:119

twoTwoDiff
vector< double > twoTwoDiff(boost::array< double, 2 > const &a, boost::array< double, 2 > const &b)
Calculates the difference between two two-expansions.
Definition: exactmath.cpp:139

min
double min(vector< double > const &v)
Returns the minimal term in a vector.
Definition: utils.cpp:44

split
void split(double num, double &high, double &low)
Splits a given number into two, Used for multiplication.
Definition: exactmath.cpp:66

fastExpansionSumZeroElim
vector< double > fastExpansionSumZeroElim(vector< double > const &e, vector< double > const &f)
Adds up two expansions.
Definition: exactmath.cpp:213

scaleExpansionZeroElim
void scaleExpansionZeroElim(vector< double > const &e, double b, vector< double > &result)
Multiplies a scalar by an expansion.
Definition: exactmath.cpp:416

fastTwoSum
void fastTwoSum(double a, double b, double &res, double &err)
Calculates the sum of two numbers.
Definition: exactmath.cpp:12

linearExpansionSumZeroElim
vector< double > linearExpansionSumZeroElim(vector< double > const &e, vector< double > const &f)
Adds up two expansions.
Definition: exactmath.cpp:330

square
void square(double num, double &res, double &err)
Calculates the square of a number.
Definition: exactmath.cpp:104