3
0
Fork 0
mirror of https://github.com/Z3Prover/z3 synced 2025-04-16 05:48:44 +00:00
z3/src/math/lp/horner.h
Lev Nachmanson 06dbc623c7 start porting grobner basis functionality
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
2020-01-28 10:04:21 -08:00

77 lines
2.6 KiB
C++

/*++
Copyright (c) 2017 Microsoft Corporation
Module Name:
<name>
Abstract:
<abstract>
Author:
Nikolaj Bjorner (nbjorner)
Lev Nachmanson (levnach)
Revision History:
--*/
#pragma once
#include "math/lp/nla_common.h"
#include "math/lp/nla_intervals.h"
#include "math/lp/nex.h"
#include "math/lp/cross_nested.h"
#include "math/lp/int_set.h"
namespace nla {
class core;
class horner : common {
intervals m_intervals;
nex_sum m_row_sum;
public:
typedef intervals::interval interv;
horner(core *core);
void horner_lemmas();
template <typename T> // T has an iterator of (coeff(), var())
bool lemmas_on_row(const T&);
template <typename T> bool row_is_interesting(const T&) const;
template <typename T>
void create_sum_from_row(const T&, cross_nested&);
intervals::interval interval_of_expr_with_deps(const nex* e);
intervals::interval interval_of_expr(const nex* e);
intervals::interval interval_of_sum(const nex_sum*);
intervals::interval interval_of_sum_no_term(const nex_sum*);
intervals::interval interval_of_mul(const nex_mul*);
void set_interval_for_scalar(intervals::interval&, const rational&);
void set_var_interval(lpvar j, intervals::interval&) const;
bool interval_from_term(const nex* e, interv&) const;
nex* nexvar(lpvar j, cross_nested& cn) const;
nex* nexvar(const rational& coeff, lpvar j, cross_nested& cn) const;
intervals::interval interval_of_sum_with_deps(const nex_sum*);
intervals::interval interval_of_sum_no_term_with_deps(const nex_sum*);
intervals::interval interval_of_mul_with_deps(const nex_mul*);
void set_var_interval_with_deps(lpvar j, intervals::interval&) const;
bool lemmas_on_expr(cross_nested&);
template <typename T> // T has an iterator of (coeff(), var())
bool row_has_monomial_to_refine(const T&) const;
lpvar find_term_column(const lp::lar_term &, rational & a) const;
static lp::lar_term expression_to_normalized_term(const nex_sum*, rational& a, rational & b);
static void add_linear_to_vector(const nex*, vector<std::pair<rational, lpvar>> &);
static void add_mul_to_vector(const nex_mul*, vector<std::pair<rational, lpvar>> &);
bool interval_from_term_with_deps(const nex* e, interv&) const;
const nex* get_zero_interval_child(const nex_mul*) const;
const nex* get_inf_interval_child(const nex_sum*) const;
bool has_zero_interval(const nex* ) const;
bool has_inf_interval(const nex* ) const;
bool mul_has_inf_interval(const nex_mul* ) const;
bool check_cross_nested_expr(const nex*);
}; // end of horner
}