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#include "newIntegration.h"
#include "multiply.h"
#include "PolyTrie.h"
#include "PolyRep.h"
#include "../timing.h"
#include <iostream>
#include <fstream>
#include <climits>
#include <cstring>
#include <NTL/ZZ.h>
using namespace std;
//old multiplication
template<class T>
void _multiply(_monomialSum& first, _monomialSum& second, _monomialSum& result,
int* min, int* max)
{
//cout << "Old multiply" << endl;
eBlock* firstExp = first.eHead;
cBlock<T>* firstCoef = first.cHead;
eBlock* secondExp;
cBlock<T>* secondCoef;
int* exponents = new int[result.varCount];
bool valid;
result.termCount = 0;
for (int i = 0; i < first.termCount; i++)
{
if (i > 0 && i % BLOCK_SIZE == 0) //this block is done, get next one
{
firstExp = firstExp->next;
firstCoef = firstCoef->next;
}
secondExp = second.eHead;
secondCoef = second.cHead;
for (int j = 0; j < second.termCount; j++)
{
if (j > 0 && j % BLOCK_SIZE == 0) //this block is done, get next one
{
secondExp = secondExp->next;
secondCoef = secondCoef->next;
}
valid = true;
for (int k = 0; k < result.varCount; k++)
{
exponents[k] = firstExp->data[(i % BLOCK_SIZE) * first.varCount
+ k] + secondExp->data[(j % BLOCK_SIZE)
* second.varCount + k];
//if (exponents[k] < min[k] || exponents[k] > max[k]) {valid = false; break; }
}
if (valid) //all exponents are within range
{
_insertMonomial<T> (firstCoef->data[i % BLOCK_SIZE]
* secondCoef->data[j % BLOCK_SIZE], exponents, result);
}
}
}
delete[] exponents;
}
int main(int argc, char *argv[])
{
string line;
int option = 0;
if (strcmp(argv[1], "-m") == 0)
{
option = 1;
} //multiply
else if (strcmp(argv[1], "-d") == 0)
{
option = 2;
} //decompose
int dimension = -1;
monomialSum myPoly, myProduct;
_monomialSum _myPoly, _myProduct;
linFormSum myForms;
_linFormSum _myForms;
ifstream myStream(argv[2]);
if (!myStream.is_open())
{
cout << "Error opening file " << argv[2]
<< ", please make sure it is spelled correctly." << endl;
return 1;
}
int polyCount = 0;
string testForms;
int *low, *high;
float myTime;
Timer myTimer("");
float oldMult, oldDecomp, newMult, newDecomp, oldInt, newInt;
oldMult = oldDecomp = newMult = newDecomp = oldInt = newInt = 0.0f;
MonomialLoadConsumer<RationalNTL>* myLoader = new MonomialLoadConsumer<
RationalNTL> ();
_MonomialLoadConsumer<RationalNTL>* _myLoader = new _MonomialLoadConsumer<
RationalNTL> ();
BTrieIterator<RationalNTL, int>* it =
new BTrieIterator<RationalNTL, int> ();
BTrieIterator<RationalNTL, int>* it2 =
new BTrieIterator<RationalNTL, int> ();
MBlockIterator<RationalNTL>* _it = new MBlockIterator<RationalNTL> ();
MBlockIterator<RationalNTL>* _it2 = new MBlockIterator<RationalNTL> ();
LBlockIterator<RationalNTL>* it_ = new LBlockIterator<RationalNTL> ();
BTrieIterator<RationalNTL, ZZ>* it2_ =
new BTrieIterator<RationalNTL, ZZ> ();
ZZ numerator, denominator;
while (!myStream.eof())
{
getline(myStream, line, '\n');
if (!line.empty())
{
//cout << "current line = " << line.c_str() << endl;
//cout << "got here 121" << endl;
myPoly.termCount = 0;
myLoader->setMonomialSum(myPoly);
parseMonomials(myLoader, line);
//cout << "after parseMonomials" << endl;
if (myPoly.termCount == 0 || myPoly.varCount == 0)
{
cout << "Error: loaded invalid monomial sum." << endl;
return 1;
} else
{
myForms.varCount = myProduct.varCount = myPoly.varCount;
if (dimension == -1)
{
dimension = myPoly.varCount;
}
}
_myPoly.termCount = 0;
_myLoader->setMonomialSum(_myPoly);
_parseMonomials(_myLoader, line);
if (_myPoly.termCount == 0 || _myPoly.varCount == 0)
{
cout << "Error: loaded invalid monomial sum." << endl;
return 1;
} else
{
_myForms.varCount = _myProduct.varCount = _myPoly.varCount;
}
//square the polynomials
if (option == 1)
{
low = new int[myProduct.varCount];
high = new int[myProduct.varCount];
for (int i = 0; i < myProduct.varCount; i++)
{
low[i] = INT_MIN;
high[i] = INT_MAX;
}
myTime = myTimer.get_seconds();
myTimer.start();
_multiply<RationalNTL> (_myPoly, _myPoly, _myProduct, low, high);
myTimer.stop();
myTime = myTimer.get_seconds() - myTime;
oldMult += myTime;
//cout << myTime << " vs. ";
_it->setLists(_myPoly.eHead, _myPoly.cHead, _myPoly.varCount,
_myPoly.termCount);
_it2->setLists(_myPoly.eHead, _myPoly.cHead, _myPoly.varCount,
_myPoly.termCount);
myTime = myTimer.get_seconds();
myTimer.start();
multiply<RationalNTL> (_it, _it2, _myProduct, low, high);
myTimer.stop();
myTime = myTimer.get_seconds() - myTime;
//cout << myTime << endl;
//oldMult += myTime;
//cout << "Old Algorithm @ dimension " << _myProduct.varCount << ":" << myTime << "s. " << endl;
_destroyMonomials(_myProduct);
it->setTrie(myPoly.myMonomials, myPoly.varCount);
it2->setTrie(myPoly.myMonomials, myPoly.varCount);
myTime = myTimer.get_seconds();
myTimer.start();
multiply<RationalNTL> (it, it2, myProduct, low, high);
myTimer.stop();
myTime = myTimer.get_seconds() - myTime;
newMult += myTime;
//cout << "New Algorithm @ dimension " << myProduct.varCount << ":" << myTime << "s. " << endl;
destroyMonomials(myProduct);
delete[] low;
delete[] high;
} else if (option == 2)
{
_myForms.termCount = 0;
myTime = myTimer.get_seconds();
myTimer.start();
for (int i = 0; i < _myPoly.termCount; i++)
{
_decompose(_myPoly, _myForms, i);
}
myTimer.stop();
myTime = myTimer.get_seconds() - myTime;
oldDecomp += myTime;
simplexZZ mySimplex;
getline(myStream, line, '\n');
convertToSimplex(mySimplex, line);
it_->setLists(_myForms.lHead, _myForms.cHead,
_myForms.varCount, _myForms.termCount);
myTime = myTimer.get_seconds();
myTimer.start();
integrateLinFormSum(numerator, denominator, it_, mySimplex);
myTimer.stop();
oldInt += (myTimer.get_seconds() - myTime);
_destroyLinForms(_myForms);
myForms.termCount = 0;
it->setTrie(myPoly.myMonomials, myPoly.varCount);
myTime = myTimer.get_seconds();
myTimer.start();
decompose(it, myForms);
myTimer.stop();
myTime = myTimer.get_seconds() - myTime;
newDecomp += myTime;
it2_->setTrie(myForms.myForms, myForms.varCount);
myTime = myTimer.get_seconds();
myTimer.start();
integrateLinFormSum(numerator, denominator, it2_, mySimplex);
myTimer.stop();
newInt += (myTimer.get_seconds() - myTime);
destroyLinForms(myForms);
}
}
}
delete myLoader;
delete _myLoader;
delete it;
delete it2;
delete _it;
delete _it2;
delete it_;
delete it2_;
myStream.close();
cout << "Comparing @ dimension " << dimension << " (old vs. new) " << endl;
if (option == 1)
{
cout << "Squaring polynomials: " << oldMult << " vs. " << newMult
<< endl;
} else if (option == 2)
{
cout << "Decomposing: " << oldDecomp << " vs. " << newDecomp << endl
<< "Integrating: " << oldInt << " vs. " << newInt << endl;
}
return 0;
}
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