include/lacunaryx/integer_roots.hpp File Reference

#include <algebramix/polynomial_integer.hpp>
#include <factorix/irreducible_polynomial_rational.hpp>
#include <multimix/sparse_polynomial.hpp>
#include <multimix/multivariate.hpp>
#include <lacunaryx/lpolynomial.hpp>

Go to the source code of this file.

Namespaces

• namespace mmx

Defines

• #define Monomial   monomial<vector<E> >
• #define Sparse_polynomial   sparse_polynomial<C, Monomial, V>
• #define Dense_polynomial   polynomial<C>
• #define Root   pair<C,E>

Functions

• template<typename E , typename C , typename V > sparse_polynomial< C, monomial
  < vector< E > >, V > sparse_derive (const sparse_polynomial< C, monomial< vector< E > >, V > &p)
• template<typename E , typename C , typename V > vector< sparse_polynomial< C,
  monomial< vector< E > >, V > > partition (const sparse_polynomial< C, monomial< vector< E > >, V > &q)
• template<typename E , typename C , typename V > vector< pair< C, E > > large_integer_roots (const sparse_polynomial< C, monomial< vector< E > >, V > &q)
• template<typename E , typename C , typename V > vector< pair< C, E > > special_integer_roots (const sparse_polynomial< C, monomial< vector< E > >, V > &p)
• template<typename E , typename C , typename V > vector< pair< C, E > > integer_roots (const sparse_polynomial< C, monomial< vector< E > >, V > &q)
• template<typename E , typename C , typename V > vector< generic > integer_roots (const multivariate< sparse_polynomial< C, monomial< vector< E > >, V > > &p)
• template<typename E , typename C , typename W > vector< generic > integer_roots (const lpolynomial< C, E, W > &lp)

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Define Documentation

#define Dense_polynomial   polynomial<C>

Definition at line 31 of file integer_roots.hpp.

Referenced by mmx::large_integer_roots().

#define Monomial   monomial<vector<E> >

Definition at line 29 of file integer_roots.hpp.

Referenced by mmx::lacunaryx::as_sparse_polynomial(), mmx::cyclotomic_factors(), mmx::gap_and_cyclotomic_factors(), mmx::lacunaryx::homogenize(), mmx::integer_roots(), mmx::linear_factors(), mmx::linear_factors_univariate(), mmx::partition(), mmx::partition_univariate(), mmx::lacunaryx::sort_poly(), mmx::lacunaryx::sparse_derive(), and mmx::sparse_derive().

#define Root   pair<C,E>

Definition at line 32 of file integer_roots.hpp.

Referenced by mmx::special_integer_roots().

#define Sparse_polynomial   sparse_polynomial<C, Monomial, V>

Definition at line 30 of file integer_roots.hpp.

Referenced by mmx::lacunaryx::as_sparse_polynomial(), mmx::cyclotomic_factors(), mmx::gap_and_cyclotomic_factors(), mmx::gap_univariate(), mmx::lacunaryx::homogenize(), mmx::integer_roots(), mmx::large_integer_roots(), mmx::linear_factors(), mmx::linear_factors_univariate(), mmx::multiplicity(), mmx::partition(), mmx::partition_bivariate_helper(), mmx::partition_univariate(), mmx::lacunaryx::sparse_derive(), mmx::sparse_derive(), and mmx::special_integer_roots().