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variable.tcc
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variable.tcc
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/** @file
*****************************************************************************
Implementation of interfaces for:
- a variable (i.e., x_i),
- a linear term (i.e., a_i * x_i), and
- a linear combination (i.e., sum_i a_i * x_i).
See variabe.hpp .
*****************************************************************************
* @author This file is part of libsnark, developed by SCIPR Lab
* and contributors (see AUTHORS).
* @copyright MIT license (see LICENSE file)
*****************************************************************************/
#ifndef VARIABLE_TCC_
#define VARIABLE_TCC_
#include <algorithm>
#include <cassert>
#include "algebra/fields/bigint.hpp"
namespace libsnark {
template<typename FieldT>
linear_term<FieldT> variable<FieldT>::operator*(const integer_coeff_t int_coeff) const
{
return linear_term<FieldT>(*this, int_coeff);
}
template<typename FieldT>
linear_term<FieldT> variable<FieldT>::operator*(const FieldT &field_coeff) const
{
return linear_term<FieldT>(*this, field_coeff);
}
template<typename FieldT>
linear_combination<FieldT> variable<FieldT>::operator+(const linear_combination<FieldT> &other) const
{
linear_combination<FieldT> result;
result.add_term(*this);
result.terms.insert(result.terms.begin(), other.terms.begin(), other.terms.end());
return result;
}
template<typename FieldT>
linear_combination<FieldT> variable<FieldT>::operator-(const linear_combination<FieldT> &other) const
{
return (*this) + (-other);
}
template<typename FieldT>
linear_term<FieldT> variable<FieldT>::operator-() const
{
return linear_term<FieldT>(*this, -FieldT::one());
}
template<typename FieldT>
bool variable<FieldT>::operator==(const variable<FieldT> &other) const
{
return (this->index == other.index);
}
template<typename FieldT>
linear_term<FieldT> operator*(const integer_coeff_t int_coeff, const variable<FieldT> &var)
{
return linear_term<FieldT>(var, int_coeff);
}
template<typename FieldT>
linear_term<FieldT> operator*(const FieldT &field_coeff, const variable<FieldT> &var)
{
return linear_term<FieldT>(var, field_coeff);
}
template<typename FieldT>
linear_combination<FieldT> operator+(const integer_coeff_t int_coeff, const variable<FieldT> &var)
{
return linear_combination<FieldT>(int_coeff) + var;
}
template<typename FieldT>
linear_combination<FieldT> operator+(const FieldT &field_coeff, const variable<FieldT> &var)
{
return linear_combination<FieldT>(field_coeff) + var;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const integer_coeff_t int_coeff, const variable<FieldT> &var)
{
return linear_combination<FieldT>(int_coeff) - var;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const FieldT &field_coeff, const variable<FieldT> &var)
{
return linear_combination<FieldT>(field_coeff) - var;
}
template<typename FieldT>
linear_term<FieldT>::linear_term(const variable<FieldT> &var) :
index(var.index), coeff(FieldT::one())
{
}
template<typename FieldT>
linear_term<FieldT>::linear_term(const variable<FieldT> &var, const integer_coeff_t int_coeff) :
index(var.index), coeff(FieldT(int_coeff))
{
}
template<typename FieldT>
linear_term<FieldT>::linear_term(const variable<FieldT> &var, const FieldT &coeff) :
index(var.index), coeff(coeff)
{
}
template<typename FieldT>
linear_term<FieldT> linear_term<FieldT>::operator*(const integer_coeff_t int_coeff) const
{
return (this->operator*(FieldT(int_coeff)));
}
template<typename FieldT>
linear_term<FieldT> linear_term<FieldT>::operator*(const FieldT &field_coeff) const
{
return linear_term<FieldT>(this->index, field_coeff * this->coeff);
}
template<typename FieldT>
linear_combination<FieldT> operator+(const integer_coeff_t int_coeff, const linear_term<FieldT> <)
{
return linear_combination<FieldT>(int_coeff) + lt;
}
template<typename FieldT>
linear_combination<FieldT> operator+(const FieldT &field_coeff, const linear_term<FieldT> <)
{
return linear_combination<FieldT>(field_coeff) + lt;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const integer_coeff_t int_coeff, const linear_term<FieldT> <)
{
return linear_combination<FieldT>(int_coeff) - lt;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const FieldT &field_coeff, const linear_term<FieldT> <)
{
return linear_combination<FieldT>(field_coeff) - lt;
}
template<typename FieldT>
linear_combination<FieldT> linear_term<FieldT>::operator+(const linear_combination<FieldT> &other) const
{
return linear_combination<FieldT>(*this) + other;
}
template<typename FieldT>
linear_combination<FieldT> linear_term<FieldT>::operator-(const linear_combination<FieldT> &other) const
{
return (*this) + (-other);
}
template<typename FieldT>
linear_term<FieldT> linear_term<FieldT>::operator-() const
{
return linear_term<FieldT>(this->index, -this->coeff);
}
template<typename FieldT>
bool linear_term<FieldT>::operator==(const linear_term<FieldT> &other) const
{
return (this->index == other.index &&
this->coeff == other.coeff);
}
template<typename FieldT>
linear_term<FieldT> operator*(const integer_coeff_t int_coeff, const linear_term<FieldT> <)
{
return FieldT(int_coeff) * lt;
}
template<typename FieldT>
linear_term<FieldT> operator*(const FieldT &field_coeff, const linear_term<FieldT> <)
{
return linear_term<FieldT>(lt.index, field_coeff * lt.coeff);
}
template<typename FieldT>
linear_combination<FieldT>::linear_combination(const integer_coeff_t int_coeff)
{
this->add_term(linear_term<FieldT>(0, int_coeff));
}
template<typename FieldT>
linear_combination<FieldT>::linear_combination(const FieldT &field_coeff)
{
this->add_term(linear_term<FieldT>(0, field_coeff));
}
template<typename FieldT>
linear_combination<FieldT>::linear_combination(const variable<FieldT> &var)
{
this->add_term(var);
}
template<typename FieldT>
linear_combination<FieldT>::linear_combination(const linear_term<FieldT> <)
{
this->add_term(lt);
}
template<typename FieldT>
typename std::vector<linear_term<FieldT> >::const_iterator linear_combination<FieldT>::begin() const
{
return terms.begin();
}
template<typename FieldT>
typename std::vector<linear_term<FieldT> >::const_iterator linear_combination<FieldT>::end() const
{
return terms.end();
}
template<typename FieldT>
void linear_combination<FieldT>::add_term(const variable<FieldT> &var)
{
this->terms.emplace_back(linear_term<FieldT>(var.index, FieldT::one()));
}
template<typename FieldT>
void linear_combination<FieldT>::add_term(const variable<FieldT> &var, const integer_coeff_t int_coeff)
{
this->terms.emplace_back(linear_term<FieldT>(var.index, int_coeff));
}
template<typename FieldT>
void linear_combination<FieldT>::add_term(const variable<FieldT> &var, const FieldT &coeff)
{
this->terms.emplace_back(linear_term<FieldT>(var.index, coeff));
}
template<typename FieldT>
void linear_combination<FieldT>::add_term(const linear_term<FieldT> &other)
{
this->terms.emplace_back(other);
}
template<typename FieldT>
linear_combination<FieldT> linear_combination<FieldT>::operator*(const integer_coeff_t int_coeff) const
{
return (*this) * FieldT(int_coeff);
}
template<typename FieldT>
FieldT linear_combination<FieldT>::evaluate(const std::vector<FieldT> &assignment) const
{
FieldT acc = FieldT::zero();
for (auto < : terms)
{
acc += (lt.index == 0 ? FieldT::one() : assignment[lt.index-1]) * lt.coeff;
}
return acc;
}
template<typename FieldT>
linear_combination<FieldT> linear_combination<FieldT>::operator*(const FieldT &field_coeff) const
{
linear_combination<FieldT> result;
result.terms.reserve(this->terms.size());
for (const linear_term<FieldT> < : this->terms)
{
result.terms.emplace_back(lt * field_coeff);
}
return result;
}
template<typename FieldT>
linear_combination<FieldT> linear_combination<FieldT>::operator+(const linear_combination<FieldT> &other) const
{
linear_combination<FieldT> result;
auto it1 = this->terms.begin();
auto it2 = other.terms.begin();
/* invariant: it1 and it2 always point to unprocessed items in the corresponding linear combinations */
while (it1 != this->terms.end() && it2 != other.terms.end())
{
if (it1->index < it2->index)
{
result.terms.emplace_back(*it1);
++it1;
}
else if (it1->index > it2->index)
{
result.terms.emplace_back(*it2);
++it2;
}
else
{
/* it1->index == it2->index */
result.terms.emplace_back(linear_term<FieldT>(variable<FieldT>(it1->index), it1->coeff + it2->coeff));
++it1;
++it2;
}
}
if (it1 != this->terms.end())
{
result.terms.insert(result.terms.end(), it1, this->terms.end());
}
else
{
result.terms.insert(result.terms.end(), it2, other.terms.end());
}
return result;
}
template<typename FieldT>
linear_combination<FieldT> linear_combination<FieldT>::operator-(const linear_combination<FieldT> &other) const
{
return (*this) + (-other);
}
template<typename FieldT>
linear_combination<FieldT> linear_combination<FieldT>::operator-() const
{
return (*this) * (-FieldT::one());
}
template<typename FieldT>
bool linear_combination<FieldT>::operator==(const linear_combination<FieldT> &other) const
{
return (this->terms == other.terms);
}
template<typename FieldT>
bool linear_combination<FieldT>::is_valid(const size_t num_variables) const
{
for (size_t i = 1; i < terms.size(); ++i)
{
if (terms[i-1].index >= terms[i].index)
{
return false;
}
}
return true;
}
template<typename FieldT>
void linear_combination<FieldT>::print(const std::map<size_t, std::string> &variable_annotations) const
{
for (auto < : terms)
{
if (lt.index == 0)
{
printf(" 1 * ");
lt.coeff.print();
}
else
{
auto it = variable_annotations.find(lt.index);
printf(" x_%zu (%s) * ", lt.index, (it == variable_annotations.end() ? "no annotation" : it->second.c_str()));
lt.coeff.print();
}
}
}
template<typename FieldT>
void linear_combination<FieldT>::print_with_assignment(const std::vector<FieldT> &full_assignment, const std::map<size_t, std::string> &variable_annotations) const
{
for (auto < : terms)
{
if (lt.index == 0)
{
printf(" 1 * ");
lt.coeff.print();
}
else
{
printf(" x_%zu * ", lt.index);
lt.coeff.print();
auto it = variable_annotations.find(lt.index);
printf(" where x_%zu (%s) was assigned value ", lt.index,
(it == variable_annotations.end() ? "no annotation" : it->second.c_str()));
full_assignment[lt.index-1].print();
printf(" i.e. negative of ");
(-full_assignment[lt.index-1]).print();
}
}
}
template<typename FieldT>
std::ostream& operator<<(std::ostream &out, const linear_combination<FieldT> &lc)
{
out << lc.terms.size() << "\n";
for (const linear_term<FieldT>& lt : lc.terms)
{
out << lt.index << "\n";
out << lt.coeff << OUTPUT_NEWLINE;
}
return out;
}
template<typename FieldT>
std::istream& operator>>(std::istream &in, linear_combination<FieldT> &lc)
{
lc.terms.clear();
size_t s;
in >> s;
consume_newline(in);
lc.terms.reserve(s);
for (size_t i = 0; i < s; ++i)
{
linear_term<FieldT> lt;
in >> lt.index;
consume_newline(in);
in >> lt.coeff;
consume_OUTPUT_NEWLINE(in);
lc.terms.emplace_back(lt);
}
return in;
}
template<typename FieldT>
linear_combination<FieldT> operator*(const integer_coeff_t int_coeff, const linear_combination<FieldT> &lc)
{
return lc * int_coeff;
}
template<typename FieldT>
linear_combination<FieldT> operator*(const FieldT &field_coeff, const linear_combination<FieldT> &lc)
{
return lc * field_coeff;
}
template<typename FieldT>
linear_combination<FieldT> operator+(const integer_coeff_t int_coeff, const linear_combination<FieldT> &lc)
{
return linear_combination<FieldT>(int_coeff) + lc;
}
template<typename FieldT>
linear_combination<FieldT> operator+(const FieldT &field_coeff, const linear_combination<FieldT> &lc)
{
return linear_combination<FieldT>(field_coeff) + lc;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const integer_coeff_t int_coeff, const linear_combination<FieldT> &lc)
{
return linear_combination<FieldT>(int_coeff) - lc;
}
template<typename FieldT>
linear_combination<FieldT> operator-(const FieldT &field_coeff, const linear_combination<FieldT> &lc)
{
return linear_combination<FieldT>(field_coeff) - lc;
}
template<typename FieldT>
linear_combination<FieldT>::linear_combination(const std::vector<linear_term<FieldT> > &all_terms)
{
if (all_terms.empty())
{
return;
}
terms = all_terms;
std::sort(terms.begin(), terms.end(), [](linear_term<FieldT> &a, linear_term<FieldT> &b) { return a.index < b.index; });
auto result_it = terms.begin();
for (auto it = ++terms.begin(); it != terms.end(); ++it)
{
if (it->index == result_it->index)
{
result_it->coeff += it->coeff;
}
else
{
*(++result_it) = *it;
}
}
terms.resize((result_it - terms.begin()) + 1);
}
} // libsnark
#endif // VARIABLE_TCC