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avoid going creating hnf_cuts if all involved vars have integral values

Browse source 
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add explanations to hnf cuts

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

nits and virtual methods (#68)

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

cleanup from std::cout

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

handle the case when the number of terms is greater than the number of variables in hnf

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

method name's fix

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

restore hnf_cutter to work with m_row_count <= m_column_count

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

tune addition of rational numbers (#70)

* log quantifiers only if present

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge and fix some warnings

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* set new arith as default for LIA

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* prepare for mixed integer-real

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix default tactic usage

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

give shorter explanations, call hnf only when have a not integral var

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

overhaul of mpq (#71)

* log quantifiers only if present

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge and fix some warnings

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* set new arith as default for LIA

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* prepare for mixed integer-real

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix default tactic usage

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* overhaul of mpz/mpq

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* disabled temporary setting

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* remove prints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

fix for 32 bit build (#72)

* log quantifiers only if present

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge and fix some warnings

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* set new arith as default for LIA

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* prepare for mixed integer-real

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix default tactic usage

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* overhaul of mpz/mpq

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* disabled temporary setting

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* remove prints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* customize for 64 bit

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

yes (#74)

* log quantifiers only if present

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge and fix some warnings

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* set new arith as default for LIA

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* prepare for mixed integer-real

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix default tactic usage

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* overhaul of mpz/mpq

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* disabled temporary setting

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* remove prints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* customize for 64 bit

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* customize for 64 bit

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* more refactor

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

fix the merge

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fixes in maximize_term untested

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix compilation (#75)

* log quantifiers only if present

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge and fix some warnings

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* set new arith as default for LIA

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* local

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* virtual method in bound propagator

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* prepare for mixed integer-real

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix default tactic usage

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* overhaul of mpz/mpq

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* disabled temporary setting

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* remove prints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* customize for 64 bit

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* customize for 64 bit

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* more refactor

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* relax check

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* change for gcc

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* merge

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Lev Nachmanson 2018-05-31 10:37:22 -07:00
parent 9be49ff6ff
commit 9ba4026bc6
41 changed files with 942 additions and 1280 deletions
Download patch file Download diff file Expand all files Collapse all files

2
src/smt/params/smt_params_helper.pyg
View file

@ -40,7 +40,7 @@ def_module_params(module_name='smt',
('bv.reflect', BOOL, True, 'create enode for every bit-vector term'),
('bv.enable_int2bv', BOOL, True, 'enable support for int2bv and bv2int operators'),
('arith.random_initial_value', BOOL, False, 'use random initial values in the simplex-based procedure for linear arithmetic'),
('arith.solver', UINT, 2, 'arithmetic solver: 0 - no solver, 1 - bellman-ford based solver (diff. logic only), 2 - simplex based solver, 3 - floyd-warshall based solver (diff. logic only) and no theory combination 4 - utvpi, 5 - infinitary lra, 6 - lra solver'),
('arith.solver', UINT, 6, 'arithmetic solver: 0 - no solver, 1 - bellman-ford based solver (diff. logic only), 2 - simplex based solver, 3 - floyd-warshall based solver (diff. logic only) and no theory combination 4 - utvpi, 5 - infinitary lra, 6 - lra solver'),
('arith.nl', BOOL, True, '(incomplete) nonlinear arithmetic support based on Groebner basis and interval propagation'),
('arith.nl.gb', BOOL, True, 'groebner Basis computation, this option is ignored when arith.nl=false'),
('arith.nl.branching', BOOL, True, 'branching on integer variables in non linear clusters'),

5
src/smt/smt_setup.cpp
View file

@ -818,10 +818,7 @@ namespace smt {
m_context.register_plugin(alloc(smt::theory_mi_arith, m_manager, m_params));
break;
default:
if (m_params.m_arith_int_only && int_only)
setup_i_arith();
else
m_context.register_plugin(alloc(smt::theory_mi_arith, m_manager, m_params));
setup_i_arith();
break;
}
}

23
src/smt/theory_lra.cpp
View file

@ -751,12 +751,14 @@ public:
init_solver();
}
bool internalize_atom(app * atom, bool gate_ctx) {
return internalize_atom_strict(atom, gate_ctx);
void internalize_is_int(app * n) {
SASSERT(a.is_is_int(n));
(void) mk_enode(n);
if (!ctx().relevancy())
mk_is_int_axiom(n);
}
bool internalize_atom_strict(app * atom, bool gate_ctx) {
bool internalize_atom(app * atom, bool gate_ctx) {
SASSERT(!ctx().b_internalized(atom));
bool_var bv = ctx().mk_bool_var(atom);
ctx().set_var_theory(bv, get_id());
@ -772,6 +774,10 @@ public:
v = internalize_def(to_app(n1));
k = lp_api::lower_t;
}
else if (a.is_is_int(atom)) {
internalize_is_int(atom);
return true;
}
else {
TRACE("arith", tout << "Could not internalize " << mk_pp(atom, m) << "\n";);
found_not_handled(atom);
@ -1527,7 +1533,7 @@ public:
return m_imp.bound_is_interesting(j, kind, v);
}
virtual void consume(rational const& v, unsigned j) {
void consume(rational const& v, lp::constraint_index j) override {
m_imp.set_evidence(j);
m_imp.m_explanation.push_back(std::make_pair(v, j));
}
@ -2619,12 +2625,17 @@ public:
coeff = rational::zero();
}
lp::impq term_max;
if (m_solver->maximize_term(coeffs, term_max)) {
lp::lp_status st = m_solver->maximize_term(coeffs, term_max);
if (st == lp::lp_status::OPTIMAL) {
blocker = mk_gt(v);
inf_rational val(term_max.x + coeff, term_max.y);
return inf_eps(rational::zero(), val);
} if (st == lp::lp_status::FEASIBLE) {
lp_assert(false); // not implemented
// todo: what to return?
}
else {
SASSERT(st == lp::lp_status::UNBOUNDED);
TRACE("arith", tout << "Unbounded " << v << "\n";);
has_shared = false;
blocker = m.mk_false();

12
src/tactic/smtlogics/qflia_tactic.cpp
View file

@ -228,18 +228,6 @@ tactic * mk_qflia_tactic(ast_manager & m, params_ref const & p) {
#endif
main_p);
//
// tactic * st = using_params(and_then(preamble_st,
// or_else(mk_ilp_model_finder_tactic(m),
// mk_pb_tactic(m),
// and_then(fail_if_not(mk_is_quasi_pb_probe()),
// using_params(mk_lia2sat_tactic(m), quasi_pb_p),
// mk_fail_if_undecided_tactic()),
// mk_bounded_tactic(m),
// mk_smt_tactic())),
// main_p);
st->updt_params(p);
return st;

87
src/test/lp/lp.cpp
View file

@ -44,10 +44,8 @@
#include "util/lp/numeric_pair.h"
#include "util/lp/binary_heap_upair_queue.h"
#include "util/lp/stacked_value.h"
#include "util/lp/stacked_unordered_set.h"
#include "util/lp/int_set.h"
#include "util/stopwatch.h"
#include "util/lp/stacked_map.h"
#include <cstdlib>
#include "test/lp/gomory_test.h"
#include "util/lp/matrix.h"
@ -55,9 +53,16 @@
#include "util/lp/square_sparse_matrix_def.h"
#include "util/lp/lu_def.h"
#include "util/lp/general_matrix.h"
#include "util/lp/bound_propagator.h"
namespace lp {
unsigned seed = 1;
class my_bound_propagator : public bound_propagator {
public:
my_bound_propagator(lar_solver & ls): bound_propagator(ls) {}
void consume(mpq const& v, lp::constraint_index j) override {}
};
random_gen g_rand;
static unsigned my_random() {
return g_rand();
@ -1942,44 +1947,6 @@ void setup_args_parser(argument_parser & parser) {
struct fff { int a; int b;};
void test_stacked_map_itself() {
vector<int> v(3,0);
for(auto u : v)
std::cout << u << std::endl;
std::unordered_map<int, fff> foo;
fff l;
l.a = 0;
l.b =1;
foo[1] = l;
int r = 1;
int k = foo[r].a;
std::cout << k << std::endl;
stacked_map<int, double> m;
m[0] = 3;
m[1] = 4;
m.push();
m[1] = 5;
m[2] = 2;
m.pop();
m.erase(2);
m[2] = 3;
m.erase(1);
m.push();
m[3] = 100;
m[4] = 200;
m.erase(1);
m.push();
m[5] = 300;
m[6] = 400;
m[5] = 301;
m.erase(5);
m[3] = 122;
m.pop(2);
m.pop();
}
void test_stacked_unsigned() {
std::cout << "test stacked unsigned" << std::endl;
@ -2038,36 +2005,10 @@ void test_stacked_vector() {
}
void test_stacked_set() {
#ifdef Z3DEBUG
std::cout << "test_stacked_set" << std::endl;
stacked_unordered_set<int> s;
s.insert(1);
s.insert(2);
s.insert(3);
std::unordered_set<int> scopy = s();
s.push();
s.insert(4);
s.pop();
lp_assert(s() == scopy);
s.push();
s.push();
s.insert(4);
s.insert(5);
s.push();
s.insert(4);
s.pop(3);
lp_assert(s() == scopy);
#endif
}
void test_stacked() {
std::cout << "test_stacked_map()" << std::endl;
test_stacked_map_itself();
test_stacked_value();
test_stacked_vector();
test_stacked_set();
}
char * find_home_dir() {
@ -2815,7 +2756,7 @@ void test_bound_propagation_one_small_sample1() {
vector<implied_bound> ev;
ls.add_var_bound(a, LE, mpq(1));
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
std::cout << " bound ev from test_bound_propagation_one_small_sample1" << std::endl;
for (auto & be : bp.m_ibounds) {
@ -2868,7 +2809,7 @@ void test_bound_propagation_one_row() {
vector<implied_bound> ev;
ls.add_var_bound(x0, LE, mpq(1));
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
}
void test_bound_propagation_one_row_with_bounded_vars() {
@ -2884,7 +2825,7 @@ void test_bound_propagation_one_row_with_bounded_vars() {
ls.add_var_bound(x0, LE, mpq(3));
ls.add_var_bound(x0, LE, mpq(1));
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
}
void test_bound_propagation_one_row_mixed() {
@ -2898,7 +2839,7 @@ void test_bound_propagation_one_row_mixed() {
vector<implied_bound> ev;
ls.add_var_bound(x1, LE, mpq(1));
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
}
@ -2921,7 +2862,7 @@ void test_bound_propagation_two_rows() {
vector<implied_bound> ev;
ls.add_var_bound(y, LE, mpq(1));
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
}
@ -2941,7 +2882,7 @@ void test_total_case_u() {
vector<implied_bound> ev;
ls.add_var_bound(z, GE, zero_of_type<mpq>());
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
}
bool contains_j_kind(unsigned j, lconstraint_kind kind, const mpq & rs, const vector<implied_bound> & ev) {
@ -2968,7 +2909,7 @@ void test_total_case_l(){
vector<implied_bound> ev;
ls.add_var_bound(z, LE, zero_of_type<mpq>());
ls.solve();
bound_propagator bp(ls);
my_bound_propagator bp(ls);
ls.propagate_bounds_for_touched_rows(bp);
lp_assert(ev.size() == 4);
lp_assert(contains_j_kind(x, GE, - one_of_type<mpq>(), ev));

1
src/test/simplex.cpp
View file

@ -4,7 +4,6 @@ Copyright (c) 2015 Microsoft Corporation
--*/
#include "util/lp/sparse_matrix.h"
#include "math/simplex/sparse_matrix_def.h"
#include "math/simplex/simplex.h"
#include "math/simplex/simplex_def.h"

2
src/util/lp/bound_propagator.h
View file

@ -22,6 +22,6 @@ public:
lp::lconstraint_kind kind,
const rational & bval) {return true;}
unsigned number_of_found_bounds() const { return m_ibounds.size(); }
virtual void consume(mpq const& v, unsigned j) { std::cout << "doh\n"; }
virtual void consume(mpq const& v, lp::constraint_index j) = 0;
};
}

1
src/util/lp/explanation.h
View file

@ -20,6 +20,7 @@ Revision History:
#pragma once
namespace lp {
struct explanation {
void clear() { m_explanation.clear(); }
vector<std::pair<mpq, constraint_index>> m_explanation;
void push_justification(constraint_index j, const mpq& v) {
m_explanation.push_back(std::make_pair(v, j));

87
src/util/lp/hnf.h
View file

@ -32,7 +32,7 @@ Revision History:
namespace lp {
namespace hnf_calc {
// d = u * a + b * b and the sum of abs(u) + abs(v) is minimal, d is positive
// d = u * a + v * b and the sum of abs(u) + abs(v) is minimal, d is positive
inline
void extended_gcd_minimal_uv(const mpq & a, const mpq & b, mpq & d, mpq & u, mpq & v) {
if (is_zero(a)) {
@ -47,7 +47,11 @@ void extended_gcd_minimal_uv(const mpq & a, const mpq & b, mpq & d, mpq & u, mpq
d = a;
return;
}
#if 1
d = gcd(a, b, u, v);
#else
extended_gcd(a, b, d, u, v);
#endif
if (is_neg(d)) {
d = -d;
u = -u;
@ -103,7 +107,8 @@ void extended_gcd_minimal_uv(const mpq & a, const mpq & b, mpq & d, mpq & u, mpq
template <typename M> bool prepare_pivot_for_lower_triangle(M &m, unsigned r) {
template <typename M>
bool prepare_pivot_for_lower_triangle(M &m, unsigned r) {
for (unsigned i = r; i < m.row_count(); i++) {
for (unsigned j = r; j < m.column_count(); j++) {
if (!is_zero(m[i][j])) {
@ -120,13 +125,13 @@ template <typename M> bool prepare_pivot_for_lower_triangle(M &m, unsigned r) {
return false;
}
template <typename M> void pivot_column_non_fractional(M &m, unsigned r) {
template <typename M>
void pivot_column_non_fractional(M &m, unsigned r) {
lp_assert(!is_zero(m[r][r]));
lp_assert(m.row_count() <= m.column_count());
for (unsigned j = r + 1; j < m.column_count(); j++) {
for (unsigned i = r + 1; i < m.row_count(); i++) {
m[i][j] =
(r > 0 )?
(r > 0) ?
(m[r][r]*m[i][j] - m[i][r]*m[r][j]) / m[r-1][r-1] :
(m[r][r]*m[i][j] - m[i][r]*m[r][j]);
lp_assert(is_int(m[i][j]));
@ -140,8 +145,8 @@ template <typename M> void pivot_column_non_fractional(M &m, unsigned r) {
}
// returns the rank of the matrix
template <typename M> unsigned to_lower_triangle_non_fractional(M &m) {
lp_assert(m.row_count() <= m.column_count());
template <typename M>
unsigned to_lower_triangle_non_fractional(M &m) {
unsigned i = 0;
for (; i < m.row_count(); i++) {
if (!prepare_pivot_for_lower_triangle(m, i)) {
@ -152,6 +157,8 @@ template <typename M> unsigned to_lower_triangle_non_fractional(M &m) {
lp_assert(i == m.row_count());
return i;
}
// returns gcd of values below diagonal i,i
template <typename M>
mpq gcd_of_row_starting_from_diagonal(const M& m, unsigned i) {
mpq g = zero_of_type<mpq>();
@ -170,28 +177,28 @@ mpq gcd_of_row_starting_from_diagonal(const M& m, unsigned i) {
return g;
}
// it fills "r" - the basic rows of m
template <typename M> mpq determinant_of_rectangular_matrix(const M& m, svector<unsigned> & basis_rows) {
if (m.column_count() < m.row_count())
throw "not implemented"; // consider working with the transposed m, or create a "transposed" version if needed
// The plan is to transform m to the lower triangular form by using non-fractional Gaussian Elimination by columns.
// Then the elements of the following elements of the last non-zero row of the matrix
// m[r-1][r-1], m[r-1][r], ..., m[r-1]m[m.column_count() - 1] give the determinants of all minors of rank r.
// The gcd of these minors is the return value
auto mc = m;
unsigned rank = to_lower_triangle_non_fractional(mc);
// It fills "r" - the basic rows of m.
// The plan is to transform m to the lower triangular form by using non-fractional Gaussian Elimination by columns.
// Then the trailing after the diagonal elements of the following elements of the last non-zero row of the matrix,
// namely, m[r-1][r-1], m[r-1][r], ..., m[r-1]m[m.column_count() - 1] give the determinants of all minors of rank r.
// The gcd of these minors is the return value.
template <typename M>
mpq determinant_of_rectangular_matrix(const M& m, svector<unsigned> & basis_rows) {
auto m_copy = m;
unsigned rank = to_lower_triangle_non_fractional(m_copy);
if (rank == 0)
return one_of_type<mpq>();
for (unsigned i = 0; i < rank; i++) {
basis_rows.push_back(mc.adjust_row(i));
basis_rows.push_back(m_copy.adjust_row(i));
}
TRACE("hnf_calc", tout << "basis_rows = "; print_vector(basis_rows, tout); mc.print(tout, "mc = "););
return gcd_of_row_starting_from_diagonal(mc, rank - 1);
TRACE("hnf_calc", tout << "basis_rows = "; print_vector(basis_rows, tout); m_copy.print(tout, "m_copy = "););
return gcd_of_row_starting_from_diagonal(m_copy, rank - 1);
}
template <typename M> mpq determinant(const M& m) {
template <typename M>
mpq determinant(const M& m) {
lp_assert(m.row_count() == m.column_count());
auto mc = m;
svector<unsigned> basis_rows;
@ -229,10 +236,8 @@ class hnf {
mpq mod_R(const mpq & a) const {
mpq t = a % m_R;
t = is_neg(t) ? t + m_R : t;
if(is_neg(t)){
std::cout << "a=" << a << ", m_R= " << m_R << std::endl;
}
t = is_neg(t) ? t + m_R : t;
CTRACE("hnf", is_neg(t), tout << "a=" << a << ", m_R= " << m_R << std::endl;);
return t;
}
@ -319,8 +324,8 @@ class hnf {
}
}
void handle_column_ij_in_row_i(unsigned i, unsigned j) {
lp_assert(is_correct_modulo());
void handle_column_ij_in_row_i(unsigned i, unsigned j) {
lp_assert(is_correct_modulo());
const mpq& aii = m_H[i][i];
const mpq& aij = m_H[i][j];
mpq p,q,r;
@ -470,15 +475,14 @@ class hnf {
bool is_correct_final() const {
if (!is_correct()) {
std::cout << "m_H = "; m_H.print(std::cout, 17);
std::cout << "\nm_A_orig * m_U = "; (m_A_orig * m_U).print(std::cout, 17);
std::cout << "is_correct() does not hold" << std::endl;
TRACE("hnf_calc",
tout << "m_H = "; m_H.print(tout, 17);
tout << "\nm_A_orig * m_U = "; (m_A_orig * m_U).print(tout, 17);
tout << "is_correct() does not hold" << std::endl;);
return false;
}
if (!is_correct_form()) {
std::cout << "is_correct_form() does not hold" << std::endl;
TRACE("hnf_calc", tout << "is_correct_form() does not hold" << std::endl;);
return false;
}
return true;
@ -538,10 +542,6 @@ private:
copy_buffer_to_col_i_W_modulo();
}
void endl() const {
std::cout << std::endl;
}
void fix_row_under_diagonal_W_modulo() {
mpq d, u, v;
if (is_zero(m_W[m_i][m_i])) {
@ -616,12 +616,11 @@ public:
#endif
calculate_by_modulo();
#ifdef Z3DEBUG
if (m_H != m_W) {
std::cout << "A = "; m_A_orig.print(std::cout, 4); endl();
std::cout << "H = "; m_H.print(std::cout, 4); endl();
std::cout << "W = "; m_W.print(std::cout, 4); endl();
lp_assert(false);
}
CTRACE("hnf_calc", m_H != m_W,
tout << "A = "; m_A_orig.print(tout, 4); tout << std::endl;
tout << "H = "; m_H.print(tout, 4); tout << std::endl;
tout << "W = "; m_W.print(tout, 4); tout << std::endl;);
lp_assert (m_H == m_W);
#endif
}

50
src/util/lp/hnf_cutter.h
View file

@ -29,10 +29,12 @@ class hnf_cutter {
var_register m_var_register;
general_matrix m_A;
vector<const lar_term*> m_terms;
svector<constraint_index> m_constraints_for_explanation;
vector<mpq> m_right_sides;
unsigned m_row_count;
unsigned m_column_count;
lp_settings & m_settings;
public:
hnf_cutter(lp_settings & settings) : m_row_count(0), m_column_count(0), m_settings(settings) {}
@ -41,25 +43,29 @@ public:
}
const vector<const lar_term*>& terms() const { return m_terms; }
const svector<unsigned>& constraints_for_explanation() const {
return m_constraints_for_explanation;
}
const vector<mpq> & right_sides() const { return m_right_sides; }
void clear() {
// m_A will be filled from scratch in init_matrix_A
m_var_register.clear();
m_terms.clear();
m_right_sides.clear();
m_constraints_for_explanation.clear();
m_right_sides.clear();
m_row_count = m_column_count = 0;
}
void add_term(const lar_term* t, const mpq &rs) {
void add_term(const lar_term* t, const mpq &rs, constraint_index ci) {
m_terms.push_back(t);
m_right_sides.push_back(rs);
m_constraints_for_explanation.push_back(ci);
for (const auto &p : *t) {
m_var_register.add_var(p.var());
}
m_right_sides.push_back(rs);
if (m_terms.size() <= m_var_register.size()) { // capture the maximal acceptable sizes
m_row_count = m_terms.size();
m_column_count = m_var_register.size();
}
}
void print(std::ostream & out) {
out << "terms = " << m_terms.size() << ", var = " << m_var_register.size() << std::endl;
@ -93,8 +99,9 @@ public:
if (basis_rows.size() == m_right_sides.size())
return m_right_sides;
vector<mpq> b;
for (unsigned i : basis_rows)
for (unsigned i : basis_rows) {
b.push_back(m_right_sides[i]);
}
return b;
}
@ -161,19 +168,30 @@ public:
return ret;
}
#endif
void shrink_explanation(const svector<unsigned>& basis_rows) {
svector<unsigned> new_expl;
for (unsigned i : basis_rows) {
new_expl.push_back(m_constraints_for_explanation[i]);
}
m_constraints_for_explanation = new_expl;
}
lia_move create_cut(lar_term& t, mpq& k, explanation& ex, bool & upper
#ifdef Z3DEBUG
,
const vector<mpq> & x0
#endif
) {
// we suppose that x0 has at least one non integer element
init_matrix_A();
svector<unsigned> basis_rows;
mpq d = hnf_calc::determinant_of_rectangular_matrix(m_A, basis_rows);
if (m_settings.get_cancel_flag())
return lia_move::undef;
if (basis_rows.size() < m_A.row_count())
if (basis_rows.size() < m_A.row_count()) {
m_A.shrink_to_rank(basis_rows);
shrink_explanation(basis_rows);
}
hnf<general_matrix> h(m_A, d);
// general_matrix A_orig = m_A;
@ -184,22 +202,10 @@ public:
find_h_minus_1_b(h.W(), b);
// lp_assert(bcopy == h.W().take_first_n_columns(b.size()) * b);
int cut_row = find_cut_row_index(b);
if (cut_row == -1) {
if (cut_row == -1)
return lia_move::undef;
}
// test region
/*
general_matrix U(m_A.column_count());
vector<mpq> rt(m_A.column_count());
for (unsigned i = 0; i < U.row_count(); i++) {
get_ei_H_minus_1(i, h.W(), rt);
vector<mpq> ft = rt * A_orig;
for (unsigned j = 0; j < ft.size(); j++)
U[i][j] = ft[j];
}
std::cout << "U reverse = "; U.print(std::cout, 12); std::cout << std::endl;
*/
// end test region
// the matrix is not square - we can get
// all integers in b's projection
vector<mpq> row(m_A.column_count());
get_ei_H_minus_1(cut_row, h.W(), row);
@ -209,5 +215,7 @@ public:
upper = true;
return lia_move::cut;
}
svector<unsigned> vars() const { return m_var_register.vars(); }
};
}

32
src/util/lp/int_solver.cpp
View file

@ -409,6 +409,8 @@ struct pivoted_rows_tracking_control {
}
};
impq int_solver::get_cube_delta_for_term(const lar_term& t) const {
if (t.size() == 2) {
bool seen_minus = false;
@ -528,34 +530,37 @@ lia_move int_solver::gomory_cut() {
}
bool int_solver::try_add_term_to_A_for_hnf(unsigned i) {
void int_solver::try_add_term_to_A_for_hnf(unsigned i) {
mpq rs;
const lar_term* t = m_lar_solver->terms()[i];
#if Z3DEBUG
for (const auto & p : *t) {
if (!is_int(p.var())) {
lp_assert(false);
return false; // todo : the mix case!
}
}
bool has_bounds;
if (m_lar_solver->get_equality_and_right_side_for_term_on_corrent_x(i, rs, has_bounds)) {
m_hnf_cutter.add_term(t, rs);
return true;
#endif
constraint_index ci;
if (m_lar_solver->get_equality_and_right_side_for_term_on_current_x(i, rs, ci)) {
m_hnf_cutter.add_term(t, rs, ci);
}
return !has_bounds;
}
bool int_solver::hnf_matrix_is_empty() const { return true; }
bool int_solver::hnf_has_non_integral_var() const {
for (unsigned j : m_hnf_cutter.vars())
if (get_value(j).is_int() == false)
return true;
return false;
}
bool int_solver::init_terms_for_hnf_cut() {
m_hnf_cutter.clear();
for (unsigned i = 0; i < m_lar_solver->terms().size(); i++) {
for (unsigned i = 0; i < m_lar_solver->terms().size() && m_hnf_cutter.row_count() < settings().limit_on_rows_for_hnf_cutter; i++) {
try_add_term_to_A_for_hnf(i);
}
return m_hnf_cutter.row_count() < settings().limit_on_rows_for_hnf_cutter;
return hnf_has_non_integral_var();
}
lia_move int_solver::make_hnf_cut() {
if (!init_terms_for_hnf_cut()) {
return lia_move::undef;
@ -574,6 +579,10 @@ lia_move int_solver::make_hnf_cut() {
if (r == lia_move::cut) {
lp_assert(current_solution_is_inf_on_cut());
settings().st().m_hnf_cuts++;
m_ex->clear();
for (unsigned i : m_hnf_cutter.constraints_for_explanation()) {
m_ex->push_justification(i);
}
}
return r;
}
@ -599,7 +608,6 @@ lia_move int_solver::check(lar_term& t, mpq& k, explanation& ex, bool & upper) {
r = patch_nbasic_columns();
if (r != lia_move::undef) return r;
++m_branch_cut_counter;
r = find_cube();

10
src/util/lp/int_solver.h
View file

@ -51,7 +51,9 @@ public:
// or provide a way of how it can be adjusted.
lia_move check(lar_term& t, mpq& k, explanation& ex, bool & upper);
bool move_non_basic_column_to_bounds(unsigned j);
lia_move check_wrapper(lar_term& t, mpq& k, explanation& ex);
lia_move check_wrapper(lar_term& t, mpq& k, explanation& ex);
bool is_base(unsigned j) const;
private:
// how to tighten bounds for integer variables.
@ -75,14 +77,12 @@ private:
mpq const & consts);
void fill_explanation_from_fixed_columns(const row_strip<mpq> & row);
void add_to_explanation_from_fixed_or_boxed_column(unsigned j);
void patch_nbasic_column(unsigned j);
lia_move patch_nbasic_columns();
bool get_freedom_interval_for_column(unsigned j, bool & inf_l, impq & l, bool & inf_u, impq & u, mpq & m);
const impq & lower_bound(unsigned j) const;
const impq & upper_bound(unsigned j) const;
bool is_int(unsigned j) const;
bool is_real(unsigned j) const;
bool is_base(unsigned j) const;
bool is_boxed(unsigned j) const;
bool is_fixed(unsigned j) const;
bool is_free(unsigned j) const;
@ -156,6 +156,8 @@ public:
lia_move make_hnf_cut();
bool init_terms_for_hnf_cut();
bool hnf_matrix_is_empty() const;
bool try_add_term_to_A_for_hnf(unsigned term_index);
void try_add_term_to_A_for_hnf(unsigned term_index);
bool hnf_has_non_integral_var() const;
void patch_nbasic_column(unsigned j);
};
}

2
src/util/lp/lar_core_solver.h
View file

@ -26,7 +26,6 @@ Revision History:
#include "util/lp/indexed_vector.h"
#include "util/lp/binary_heap_priority_queue.h"
#include "util/lp/breakpoint.h"
#include "util/lp/stacked_unordered_set.h"
#include "util/lp/lp_primal_core_solver.h"
#include "util/lp/stacked_vector.h"
#include "util/lp/lar_solution_signature.h"
@ -611,7 +610,6 @@ public:
}
if (no_r_lu()) { // it is the case where m_d_solver gives a degenerated basis, we need to roll back
// std::cout << "no_r_lu" << std::endl;
catch_up_in_lu_in_reverse(changes_of_basis, m_r_solver);
m_r_solver.find_feasible_solution();
m_d_basis = m_r_basis;

98
src/util/lp/lar_solver.cpp
View file

@ -370,7 +370,6 @@ void lar_solver::pop(unsigned k) {
unsigned m = A_r().row_count();
clean_popped_elements(m, m_rows_with_changed_bounds);
clean_inf_set_of_r_solver_after_pop();
m_status = m_mpq_lar_core_solver.m_r_solver.current_x_is_feasible()? lp_status::OPTIMAL: lp_status::UNKNOWN;
lp_assert(m_settings.simplex_strategy() == simplex_strategy_enum::undecided ||
(!use_tableau()) || m_mpq_lar_core_solver.m_r_solver.reduced_costs_are_correct_tableau());
@ -508,14 +507,45 @@ bool lar_solver::maximize_term_on_corrected_r_solver(const vector<std::pair<mpq,
lp_unreachable(); // wrong mode
}
return false;
}
}
bool lar_solver::remove_from_basis(unsigned j) {
return m_mpq_lar_core_solver.m_r_solver.remove_from_basis(j);
}
// starting from a given feasible state look for the maximum of the term
// return true if found and false if unbounded
bool lar_solver::maximize_term(const vector<std::pair<mpq, var_index>> & term,
lp_status lar_solver::maximize_term(const vector<std::pair<mpq, var_index>> & term,
impq &term_max) {
lp_assert(m_mpq_lar_core_solver.m_r_solver.current_x_is_feasible());
m_mpq_lar_core_solver.m_r_solver.m_look_for_feasible_solution_only = false;
return maximize_term_on_corrected_r_solver(term, term_max);
if (!maximize_term_on_corrected_r_solver(term, term_max))
return lp_status::UNBOUNDED;
bool change = false;
for (unsigned j = 0; j < m_mpq_lar_core_solver.m_r_x.size(); j++) {
if (!column_is_int(j))
continue;
if (column_value_is_integer(j))
continue;
if (m_int_solver->is_base(j)) {
if (!remove_from_basis(j)) // consider a special version of remove_from_basis that would not remove inf_int columns
return lp_status::FEASIBLE; // it should not happen
}
m_int_solver->patch_nbasic_column(j);
if (!column_value_is_integer(j))
return lp_status::FEASIBLE;
change = true;
}
if (change) {
term_max = zero_of_type<impq>();
for (const auto& p : term) {
term_max += p.first * m_mpq_lar_core_solver.m_r_x[p.second];
}
}
return lp_status::OPTIMAL;
}
@ -792,18 +822,11 @@ void lar_solver::add_last_rows_to_lu(lp_primal_core_solver<K,L> & s) {
bool lar_solver::x_is_correct() const {
if (m_mpq_lar_core_solver.m_r_x.size() != A_r().column_count()) {
// std::cout << "the size is off " << m_r_solver.m_x.size() << ", " << A().column_count() << std::endl;
return false;
}
for (unsigned i = 0; i < A_r().row_count(); i++) {
numeric_pair<mpq> delta = A_r().dot_product_with_row(i, m_mpq_lar_core_solver.m_r_x);
if (!delta.is_zero()) {
// std::cout << "x is off (";
// std::cout << "m_b[" << i << "] = " << m_b[i] << " ";
// std::cout << "left side = " << A().dot_product_with_row(i, m_r_solver.m_x) << ' ';
// std::cout << "delta = " << delta << ' ';
// std::cout << "iters = " << total_iterations() << ")" << std::endl;
// std::cout << "row " << i << " is off" << std::endl;
return false;
}
}
@ -906,7 +929,6 @@ bool lar_solver::all_constraints_hold() const {
for (unsigned i = 0; i < m_constraints.size(); i++) {
if (!constraint_holds(*m_constraints[i], var_map)) {
print_constraint(i, std::cout);
return false;
}
}
@ -973,13 +995,6 @@ bool lar_solver::the_left_sides_sum_to_zero(const vector<std::pair<mpq, unsigned
}
if (!coeff_map.empty()) {
std::cout << "left side = ";
vector<std::pair<mpq, var_index>> t;
for (auto & it : coeff_map) {
t.push_back(std::make_pair(it.second, it.first));
}
print_linear_combination_of_column_indices(t, std::cout);
std::cout << std::endl;
return false;
}
@ -1043,7 +1058,7 @@ mpq lar_solver::sum_of_right_sides_of_explanation(const vector<std::pair<mpq, un
return ret;
}
bool lar_solver::has_lower_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) {
bool lar_solver::has_lower_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) const {
if (var >= m_columns_to_ul_pairs.size()) {
// TBD: bounds on terms could also be used, caller may have to track these.
@ -1062,7 +1077,7 @@ bool lar_solver::has_lower_bound(var_index var, constraint_index& ci, mpq& value
}
}
bool lar_solver::has_upper_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) {
bool lar_solver::has_upper_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) const {
if (var >= m_columns_to_ul_pairs.size()) {
// TBD: bounds on terms could also be used, caller may have to track these.
@ -1143,9 +1158,11 @@ void lar_solver::get_model(std::unordered_map<var_index, mpq> & variable_values)
}
void lar_solver::get_model_do_not_care_about_diff_vars(std::unordered_map<var_index, mpq> & variable_values) const {
mpq delta = mpq(1);
delta = m_mpq_lar_core_solver.find_delta_for_strict_bounds(delta);
for (unsigned i = 0; i < m_mpq_lar_core_solver.m_r_x.size(); i++ ) {
const impq & rp = m_mpq_lar_core_solver.m_r_x[i];
variable_values[i] = rp.x + rp.y;
variable_values[i] = rp.x + delta * rp.y;
}
}
@ -1436,7 +1453,7 @@ bool lar_solver::model_is_int_feasible() const {
bool lar_solver::term_is_int(const lar_term * t) const {
for (auto const & p : t->m_coeffs)
if (!column_is_int(p.first) || p.second.is_int())
if (! (column_is_int(p.first) && p.second.is_int()))
return false;
return t->m_v.is_int();
}
@ -1481,9 +1498,6 @@ var_index lar_solver::add_var(unsigned ext_j, bool is_int) {
TRACE("add_var", tout << "adding var " << ext_j << (is_int? " int" : " nonint") << std::endl;);
var_index i;
lp_assert(ext_j < m_terms_start_index);
if (ext_j >= m_terms_start_index)
throw 0; // todo : what is the right way to exit?
auto it = m_ext_vars_to_columns.find(ext_j);
if (it != m_ext_vars_to_columns.end()) {
return it->second.internal_j();
@ -1580,7 +1594,6 @@ bool lar_solver::term_coeffs_are_ok(const vector<std::pair<mpq, var_index>> & co
bool g_is_set = false;
for (const auto & p : coeffs) {
if (!p.first.is_int()) {
std::cout << "p.first = " << p.first << " is not an int\n";
return false;
}
if (!g_is_set) {
@ -1593,9 +1606,6 @@ bool lar_solver::term_coeffs_are_ok(const vector<std::pair<mpq, var_index>> & co
if (g == one_of_type<mpq>())
return true;
std::cout << "term is not ok: g = " << g << std::endl;
this->print_linear_combination_of_column_indices_only(coeffs, std::cout);
std::cout << " rs = " << v << std::endl;
return false;
}
#endif
@ -2207,36 +2217,34 @@ void lar_solver::round_to_integer_solution() {
}
}
bool lar_solver::get_equality_for_term_on_corrent_x(unsigned term_index, mpq & rs, bool & has_bounds) const {
bool lar_solver::get_equality_and_right_side_for_term_on_current_x(unsigned term_index, mpq & rs, constraint_index& ci) const {
unsigned tj = term_index + m_terms_start_index;
auto it = m_ext_vars_to_columns.find(tj);
has_bounds = false;
if (it == m_ext_vars_to_columns.end())
return false;
unsigned j = it->second.internal_j();
auto & slv = m_mpq_lar_core_solver.m_r_solver;
impq term_val;
bool term_val_ready = false;
if (slv.column_has_upper_bound(j)) {
has_bounds = true;
const impq & b = slv.m_upper_bounds[j];
lp_assert(is_zero(b.y) && is_int(b.x));
mpq b;
bool is_strict;
if (has_upper_bound(j, ci, b, is_strict)) {
lp_assert(!is_strict);
lp_assert(b.is_int());
term_val = terms()[term_index]->apply(m_mpq_lar_core_solver.m_r_x);
term_val_ready = true;
if (term_val == b) {
rs = b.x;
if (term_val.x == b) {
rs = b;
return true;
}
}
if (slv.column_has_lower_bound(j)) {
has_bounds = true;
if (has_lower_bound(j, ci, b, is_strict)) {
lp_assert(!is_strict);
if (!term_val_ready)
term_val = terms()[term_index]->apply(m_mpq_lar_core_solver.m_r_x);
const impq & b = slv.m_lower_bounds[j];
lp_assert(is_zero(b.y) && is_int(b.x));
lp_assert(b.is_int());
if (term_val == b) {
rs = b.x;
if (term_val.x == b) {
rs = b;
return true;
}
}

12
src/util/lp/lar_solver.h
View file

@ -36,7 +36,6 @@ Revision History:
#include <stack>
#include "util/lp/stacked_value.h"
#include "util/lp/stacked_vector.h"
#include "util/lp/stacked_unordered_set.h"
#include "util/lp/implied_bound.h"
#include "util/lp/bound_analyzer_on_row.h"
#include "util/lp/conversion_helper.h"
@ -326,8 +325,8 @@ public:
impq &term_max);
// starting from a given feasible state look for the maximum of the term
// return true if found and false if unbounded
bool maximize_term(const vector<std::pair<mpq, var_index>> & term,
impq &term_max);
lp_status maximize_term(const vector<std::pair<mpq, var_index>> & term,
impq &term_max);
@ -435,9 +434,9 @@ public:
mpq sum_of_right_sides_of_explanation(const vector<std::pair<mpq, unsigned>> & explanation) const;
bool has_lower_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict);
bool has_lower_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) const;
bool has_upper_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict);
bool has_upper_bound(var_index var, constraint_index& ci, mpq& value, bool& is_strict) const;
void get_infeasibility_explanation(vector<std::pair<mpq, constraint_index>> & explanation) const;
@ -587,6 +586,7 @@ public:
unsigned column_count() const { return A_r().column_count(); }
const vector<unsigned> & r_basis() const { return m_mpq_lar_core_solver.r_basis(); }
const vector<unsigned> & r_nbasis() const { return m_mpq_lar_core_solver.r_nbasis(); }
bool get_equality_and_right_side_for_term_on_corrent_x(unsigned i, mpq &rs, bool & has_bounds) const;
bool get_equality_and_right_side_for_term_on_current_x(unsigned i, mpq &rs, constraint_index& ci) const;
bool remove_from_basis(unsigned);
};
}

1
src/util/lp/lp_core_solver_base.cpp
View file

@ -145,3 +145,4 @@ template bool lp::lp_core_solver_base<lp::mpq, lp::numeric_pair<lp::mpq> >::infe
template bool lp::lp_core_solver_base<lp::mpq, lp::mpq >::infeasibility_costs_are_correct() const;
template bool lp::lp_core_solver_base<double, double >::infeasibility_costs_are_correct() const;
template void lp::lp_core_solver_base<lp::mpq, lp::numeric_pair<lp::mpq> >::calculate_pivot_row(unsigned int);
template bool lp::lp_core_solver_base<lp::mpq, lp::numeric_pair<lp::mpq> >::remove_from_basis(unsigned int);

12
src/util/lp/lp_core_solver_base.h
View file

@ -225,7 +225,6 @@ public:
lp_assert(m_A.is_correct());
if (m_using_infeas_costs) {
if (infeasibility_costs_are_correct() == false) {
std::cout << "infeasibility_costs_are_correct() does not hold" << std::endl;
return false;
}
}
@ -234,9 +233,6 @@ public:
for (unsigned j = 0; j < n; j++) {
if (m_basis_heading[j] >= 0) {
if (!is_zero(m_d[j])) {
std::cout << "case a\n";
print_column_info(j, std::cout);
return false;
}
} else {
@ -245,8 +241,6 @@ public:
d -= this->m_costs[this->m_basis[cc.m_i]] * this->m_A.get_val(cc);
}
if (m_d[j] != d) {
std::cout << "case b\n";
print_column_info(j, std::cout);
return false;
}
}
@ -453,6 +447,7 @@ public:
void init_lu();
int pivots_in_column_and_row_are_different(int entering, int leaving) const;
void pivot_fixed_vars_from_basis();
bool remove_from_basis(unsigned j);
bool pivot_column_general(unsigned j, unsigned j_basic, indexed_vector<T> & w);
bool pivot_for_tableau_on_basis();
bool pivot_row_for_tableau_on_basis(unsigned row);
@ -552,7 +547,6 @@ public:
bool non_basic_columns_are_set_correctly() const {
for (unsigned j : this->m_nbasis)
if (!column_is_feasible(j)) {
print_column_info(j, std::cout);
return false;
}
return true;
@ -601,10 +595,6 @@ public:
out << " base\n";
else
out << " nbas\n";
/*
std::cout << "cost = " << m_costs[j] << std::endl;
std:: cout << "m_d = " << m_d[j] << std::endl;*/
}
bool column_is_free(unsigned j) const { return this->m_column_type[j] == free; }

39
src/util/lp/lp_core_solver_base_def.h
View file

@ -228,11 +228,6 @@ A_mult_x_is_off() const {
for (unsigned i = 0; i < m_m(); i++) {
X delta = m_b[i] - m_A.dot_product_with_row(i, m_x);
if (delta != numeric_traits<X>::zero()) {
std::cout << "precise x is off (";
std::cout << "m_b[" << i << "] = " << m_b[i] << " ";
std::cout << "left side = " << m_A.dot_product_with_row(i, m_x) << ' ';
std::cout << "delta = " << delta << ' ';
std::cout << "iters = " << total_iterations() << ")" << std::endl;
return true;
}
}
@ -265,11 +260,6 @@ A_mult_x_is_off_on_index(const vector<unsigned> & index) const {
for (unsigned i : index) {
X delta = m_b[i] - m_A.dot_product_with_row(i, m_x);
if (delta != numeric_traits<X>::zero()) {
// std::cout << "x is off (";
// std::cout << "m_b[" << i << "] = " << m_b[i] << " ";
// std::cout << "left side = " << m_A.dot_product_with_row(i, m_x) << ' ';
// std::cout << "delta = " << delta << ' ';
// std::cout << "iters = " << total_iterations() << ")" << std::endl;
return true;
}
}
@ -416,13 +406,10 @@ column_is_dual_feasible(unsigned j) const {
case column_type::lower_bound:
return x_is_at_lower_bound(j) && d_is_not_negative(j);
case column_type::upper_bound:
LP_OUT(m_settings, "upper_bound type should be switched to lower_bound" << std::endl);
lp_assert(false); // impossible case
case column_type::free_column:
return numeric_traits<X>::is_zero(m_d[j]);
default:
LP_OUT(m_settings, "column = " << j << std::endl);
LP_OUT(m_settings, "unexpected column type = " << column_type_to_string(m_column_types[j]) << std::endl);
lp_unreachable();
}
lp_unreachable();
@ -530,9 +517,6 @@ template <typename T, typename X> bool lp_core_solver_base<T, X>::inf_set_is_cor
bool is_feas = column_is_feasible(j);
if (is_feas == belongs_to_set) {
print_column_info(j, std::cout);
std::cout << "belongs_to_set = " << belongs_to_set << std::endl;
std::cout <<( is_feas? "feas":"inf") << std::endl;
return false;
}
}
@ -714,22 +698,18 @@ template <typename T, typename X> bool lp_core_solver_base<T, X>::
lp_assert(m_basis.size() == m_A.row_count());
lp_assert(m_nbasis.size() <= m_A.column_count() - m_A.row_count()); // for the dual the size of non basis can be smaller
if (!basis_has_no_doubles()) {
// std::cout << "basis_has_no_doubles" << std::endl;
return false;
}
if (!non_basis_has_no_doubles()) {
// std::cout << "non_basis_has_no_doubles" << std::endl;
return false;
}
if (!basis_is_correctly_represented_in_heading()) {
// std::cout << "basis_is_correctly_represented_in_heading" << std::endl;
return false;
}
if (!non_basis_is_correctly_represented_in_heading()) {
// std::cout << "non_basis_is_correctly_represented_in_heading" << std::endl;
return false;
}
@ -989,6 +969,17 @@ template <typename T, typename X> void lp_core_solver_base<T, X>::pivot_fixed_v
}
}
template <typename T, typename X> bool lp_core_solver_base<T, X>::remove_from_basis(unsigned basic_j) {
indexed_vector<T> w(m_basis.size()); // the buffer
unsigned i = m_basis_heading[basic_j];
for (auto &c : m_A.m_rows[i]) {
if (pivot_column_general(c.var(), basic_j, w))
return true;
}
return false;
}
template <typename T, typename X> bool
lp_core_solver_base<T, X>::infeasibility_costs_are_correct() const {
if (! this->m_using_infeas_costs)
@ -996,13 +987,9 @@ lp_core_solver_base<T, X>::infeasibility_costs_are_correct() const {
lp_assert(costs_on_nbasis_are_zeros());
for (unsigned j :this->m_basis) {
if (!infeasibility_cost_is_correct_for_column(j)) {
std::cout << "infeasibility_cost_is_correct_for_column does not hold\n";
print_column_info(j, std::cout);
return false;
}
if (!is_zero(m_d[j])) {
std::cout << "m_d is not zero\n";
print_column_info(j, std::cout);
return false;
}
}
@ -1052,9 +1039,9 @@ void lp_core_solver_base<T, X>::calculate_pivot_row(unsigned i) {
m_pivot_row.clear();
m_pivot_row.resize(m_n());
if (m_settings.use_tableau()) {
unsigned basis_j = m_basis[i];
unsigned basic_j = m_basis[i];
for (auto & c : m_A.m_rows[i]) {
if (c.m_j != basis_j)
if (c.m_j != basic_j)
m_pivot_row.set_value(c.get_val(), c.m_j);
}
return;

6
src/util/lp/lp_dual_core_solver_def.h
View file

@ -535,12 +535,6 @@ template <typename T, typename X> bool lp_dual_core_solver<T, X>::snap_runaway_n
template <typename T, typename X> bool lp_dual_core_solver<T, X>::problem_is_dual_feasible() const {
for (unsigned j : this->non_basis()){
if (!this->column_is_dual_feasible(j)) {
// std::cout << "column " << j << " is not dual feasible" << std::endl;
// std::cout << "m_d[" << j << "] = " << this->m_d[j] << std::endl;
// std::cout << "x[" << j << "] = " << this->m_x[j] << std::endl;
// std::cout << "type = " << column_type_to_string(this->m_column_type[j]) << std::endl;
// std::cout << "bounds = " << this->m_lower_bounds[j] << "," << this->m_upper_bounds[j] << std::endl;
// std::cout << "total_iterations = " << this->total_iterations() << std::endl;
return false;
}
}

3
src/util/lp/lp_primal_core_solver.h
View file

@ -504,7 +504,8 @@ public:
}
X theta = (this->m_x[leaving] - new_val_for_leaving) / a_ent;
advance_on_entering_and_leaving_tableau_rows(entering, leaving, theta );
lp_assert(this->m_x[leaving] == new_val_for_leaving);
X xleaving = this->m_x[leaving];
lp_assert(xleaving == new_val_for_leaving);
if (this->current_x_is_feasible())
this->set_status(lp_status::OPTIMAL);
}

1
src/util/lp/lp_primal_core_solver_tableau_def.h
View file

@ -322,7 +322,6 @@ template <typename T, typename X> int lp_primal_core_solver<T, X>::find_leaving_
return m_leaving_candidates[k];
}
template <typename T, typename X> void lp_primal_core_solver<T, X>::init_run_tableau() {
// print_matrix(&(this->m_A), std::cout);
CASSERT("A_off", this->A_mult_x_is_off() == false);
lp_assert(basis_columns_are_set_correctly());
this->m_basis_sort_counter = 0; // to initiate the sort of the basis

1
src/util/lp/lp_primal_simplex_def.h
View file

@ -278,7 +278,6 @@ template <typename T, typename X> bool lp_primal_simplex<T, X>::bounds_hold(std:
}
if (!it.second->bounds_hold(sol_it->second)) {
// std::cout << "bounds do not hold for " << it.second->get_name() << std::endl;
it.second->bounds_hold(sol_it->second);
return false;
}

5
src/util/lp/lp_settings.h
View file

@ -214,7 +214,7 @@ public:
lp_settings() : m_default_resource_limit(*this),
m_resource_limit(&m_default_resource_limit),
m_debug_out( &std::cout),
m_debug_out(&std::cout),
m_message_out(&std::cout),
reps_in_scaler(20),
pivot_epsilon(0.00000001),
@ -231,7 +231,6 @@ public:
drop_tolerance ( 1e-14),
tolerance_for_artificials ( 1e-4),
can_be_taken_to_basis_tolerance ( 0.00001),
percent_of_entering_to_check ( 5),// we try to find a profitable column in a percentage of the columns
use_scaling ( true),
scaling_maximum ( 1),
@ -265,7 +264,7 @@ public:
m_chase_cut_solver_cycle_on_var(10),
m_int_pivot_fixed_vars_from_basis(false),
m_int_patch_only_integer_values(true),
limit_on_rows_for_hnf_cutter(100)
limit_on_rows_for_hnf_cutter(75)
{}
void set_resource_limit(lp_resource_limit& lim) { m_resource_limit = &lim; }

4
src/util/lp/lp_settings_def.h
View file

@ -74,14 +74,12 @@ bool vectors_are_equal(T * a, vector<T> &b, unsigned n) {
if (numeric_traits<T>::precise()) {
for (unsigned i = 0; i < n; i ++){
if (!numeric_traits<T>::is_zero(a[i] - b[i])) {
// std::cout << "a[" << i <<"]" << a[i] << ", " << "b[" << i <<"]" << b[i] << std::endl;
return false;
}
}
} else {
for (unsigned i = 0; i < n; i ++){
if (std::abs(numeric_traits<T>::get_double(a[i] - b[i])) > 0.000001) {
// std::cout << "a[" << i <<"]" << a[i] << ", " << "b[" << i <<"]" << b[i] << std::endl;
return false;
}
}
@ -97,7 +95,6 @@ bool vectors_are_equal(const vector<T> & a, const vector<T> &b) {
if (numeric_traits<T>::precise()) {
for (unsigned i = 0; i < n; i ++){
if (!numeric_traits<T>::is_zero(a[i] - b[i])) {
// std::cout << "a[" << i <<"]" << a[i] << ", " << "b[" << i <<"]" << b[i] << std::endl;
return false;
}
}
@ -112,7 +109,6 @@ bool vectors_are_equal(const vector<T> & a, const vector<T> &b) {
}
if (fabs(da - db) > 0.000001) {
// std::cout << "a[" << i <<"] = " << a[i] << ", but " << "b[" << i <<"] = " << b[i] << std::endl;
return false;
}
}

5
src/util/lp/lu_def.h
View file

@ -144,8 +144,6 @@ lu<M>::lu(const M& A,
m_row_eta_work_vector(A.row_count()),
m_refactor_counter(0) {
lp_assert(A.row_count() == A.column_count());
std::cout << "m_U = \n";
print_matrix(&m_U, std::cout);
create_initial_factorization();
#ifdef Z3DEBUG
lp_assert(is_correct());
@ -659,13 +657,10 @@ template <typename M>
bool lu<M>::is_correct() {
#ifdef Z3DEBUG
if (get_status() != LU_status::OK) {
std::cout << " status" << std::endl;
return false;
}
dense_matrix<T, X> left_side = get_left_side();
std::cout << "ls = "; print_matrix(left_side, std::cout);
dense_matrix<T, X> right_side = get_right_side();
std::cout << "rs = "; print_matrix(right_side, std::cout);
return left_side == right_side;
#else
return true;

1
src/util/lp/mps_reader.h
View file

@ -303,7 +303,6 @@ class mps_reader {
do {
read_line();
if (m_line.find("RHS") == 0) {
// cout << "found RHS" << std::endl;
break;
}
if (m_line.size() < 22) {

1
src/util/lp/permutation_matrix_def.h
View file

@ -64,7 +64,6 @@ void permutation_matrix<T, X>::apply_from_left(vector<X> & w, lp_settings & ) {
// L * deb_w = clone_vector<L>(w, row_count());
// deb.apply_from_left(deb_w);
#endif
// std::cout << " apply_from_left " << std::endl;
lp_assert(m_X_buffer.size() == w.size());
unsigned i = size();
while (i-- > 0) {

2
src/util/lp/scaler_def.h
View file

@ -214,7 +214,6 @@ template <typename T, typename X> void scaler<T, X>::scale_rows() {
}
template <typename T, typename X> void scaler<T, X>::scale_row(unsigned i) {
std::cout << "t" << "\n";
T row_max = std::max(m_A.get_max_abs_in_row(i), abs(convert_struct<T, X>::convert(m_b[i])));
T alpha = numeric_traits<T>::one();
if (numeric_traits<T>::is_zero(row_max)) {
@ -244,7 +243,6 @@ template <typename T, typename X> void scaler<T, X>::scale_column(unsigned i)
if (numeric_traits<T>::is_zero(column_max)){
return; // the column has zeros only
}
std::cout << "f";
if (column_max < m_scaling_minimum) {
do {
alpha *= 2;

4
src/util/lp/square_sparse_matrix.h
View file

@ -254,11 +254,7 @@ public:
void delete_column(int i);
void swap_columns(unsigned a, unsigned b) {
// cout << "swaapoiiin" << std::endl;
// dense_matrix<T, X> d(*this);
m_column_permutation.transpose_from_left(a, b);
// d.swap_columns(a, b);
// lp_assert(*this == d);
}
void swap_rows(unsigned a, unsigned b) {

9
src/util/lp/square_sparse_matrix_def.h
View file

@ -1214,7 +1214,6 @@ bool square_sparse_matrix<T, X>::is_upper_triangular_and_maximums_are_set_correc
return false;
if (aj == ai) {
if (iv.m_value != 1) {
// std::cout << "value at diagonal = " << iv.m_value << std::endl;
return false;
}
}
@ -1245,18 +1244,14 @@ void square_sparse_matrix<T, X>::check_column_vs_rows(unsigned col) {
for (indexed_value<T> & column_iv : mc) {
indexed_value<T> & row_iv = column_iv_other(column_iv);
if (row_iv.m_index != col) {
// std::cout << "m_other in row does not belong to column " << col << ", but to column " << row_iv.m_index << std::endl;
lp_assert(false);
}
if (& row_iv_other(row_iv) != &column_iv) {
// std::cout << "row and col do not point to each other" << std::endl;
lp_assert(false);
}
if (row_iv.m_value != column_iv.m_value) {
// std::cout << "the data from col " << col << " for row " << column_iv.m_index << " is different in the column " << std::endl;
// std::cout << "in the col it is " << column_iv.m_value << ", but in the row it is " << row_iv.m_value << std::endl;
lp_assert(false);
}
}
@ -1269,18 +1264,14 @@ void square_sparse_matrix<T, X>::check_row_vs_columns(unsigned row) {
indexed_value<T> & column_iv = row_iv_other(row_iv);
if (column_iv.m_index != row) {
// std::cout << "col_iv does not point to correct row " << row << " but to " << column_iv.m_index << std::endl;
lp_assert(false);
}
if (& row_iv != & column_iv_other(column_iv)) {
// std::cout << "row and col do not point to each other" << std::endl;
lp_assert(false);
}
if (row_iv.m_value != column_iv.m_value) {
// std::cout << "the data from col " << column_iv.m_index << " for row " << row << " is different in the column " << std::endl;
// std::cout << "in the col it is " << column_iv.m_value << ", but in the row it is " << row_iv.m_value << std::endl;
lp_assert(false);
}
}

255
src/util/lp/stacked_map.h
View file

@ -1,255 +0,0 @@
/*++
Copyright (c) 2017 Microsoft Corporation
Module Name:
<name>
Abstract:
<abstract>
Author:
Lev Nachmanson (levnach)
Revision History:
--*/
#pragma once
// this class implements a map with some stack functionality
#include <unordered_map>
#include <unordered_set>
#include <set>
#include <stack>
#include <map>
namespace lp {
template<class A,
class B,
class _Pr = std::less<A>,
class _Alloc = std::allocator<std::pair<const A, B> > >
class stacked_map {
struct delta {
std::unordered_set<A> m_new;
std::unordered_map<A, B> m_original_changed;
// std::unordered_map<A,B, Hash, KeyEqual, Allocator > m_deb_copy;
};
std::map<A,B,_Pr, _Alloc> m_map;
std::stack<delta> m_stack;
public:
class ref {
stacked_map<A,B,_Pr, _Alloc> & m_map;
const A & m_key;
public:
ref(stacked_map<A,B,_Pr, _Alloc> & m, const A & key) :m_map(m), m_key(key) {}
ref & operator=(const B & b) {
m_map.emplace_replace(m_key, b);
return *this;
}
ref & operator=(const ref & b) { lp_assert(false); return *this; }
operator const B&() const {
auto it = m_map.m_map.find(m_key);
lp_assert(it != m_map.m_map.end());
return it->second;
}
};
typename std::map < A, B, _Pr, _Alloc>::iterator upper_bound(const A& k) {
return m_map.upper_bound(k);
}
typename std::map < A, B, _Pr, _Alloc>::const_iterator upper_bound(const A& k) const {
return m_map.upper_bound(k);
}
typename std::map < A, B, _Pr, _Alloc>::iterator lower_bound(const A& k) {
return m_map.lower_bound(k);
}
typename std::map < A, B, _Pr, _Alloc>::const_iterator lower_bound(const A& k) const {
return m_map.lower_bound(k);
}
typename std::map < A, B, _Pr, _Alloc>::iterator end() {
return m_map.end();
}
typename std::map < A, B, _Pr, _Alloc>::const_iterator end() const {
return m_map.end();
}
typename std::map < A, B, _Pr, _Alloc>::reverse_iterator rend() {
return m_map.rend();
}
typename std::map < A, B, _Pr, _Alloc>::const_reverse_iterator rend() const {
return m_map.rend();
}
typename std::map < A, B, _Pr, _Alloc>::iterator begin() {
return m_map.begin();
}
typename std::map < A, B, _Pr, _Alloc>::const_iterator begin() const {
return m_map.begin();
}
typename std::map < A, B, _Pr, _Alloc>::reverse_iterator rbegin() {
return m_map.rbegin();
}
typename std::map < A, B, _Pr, _Alloc>::const_reverse_iterator rbegin() const {
return m_map.rbegin();
}
private:
void emplace_replace(const A & a, const B & b) {
if (!m_stack.empty()) {
delta & d = m_stack.top();
auto it = m_map.find(a);
if (it == m_map.end()) {
d.m_new.insert(a);
m_map.emplace(a, b);
} else if (it->second != b) {
auto nit = d.m_new.find(a);
if (nit == d.m_new.end()) { // we do not have the old key
auto & orig_changed= d.m_original_changed;
auto itt = orig_changed.find(a);
if (itt == orig_changed.end()) {
orig_changed.emplace(a, it->second);
} else if (itt->second == b) {
orig_changed.erase(itt);
}
}
it->second = b;
}
} else { // there is no stack: just emplace or replace
m_map[a] = b;
}
}
public:
ref operator[] (const A & a) {
return ref(*this, a);
}
const B & operator[]( const A & a) const {
auto it = m_map.find(a);
if (it == m_map.end()) {
lp_assert(false);
}
return it->second;
}
bool try_get_value(const A& key, B& val) const {
auto it = m_map.find(key);
if (it == m_map.end())
return false;
val = it->second;
return true;
}
bool try_get_value(const A&& key, B& val) const {
auto it = m_map.find(std::move(key));
if (it == m_map.end())
return false;
val = it->second;
return true;
}
unsigned size() const {
return static_cast<unsigned>(m_map.size());
}
bool contains(const A & key) const {
return m_map.find(key) != m_map.end();
}
bool contains(const A && key) const {
return m_map.find(std::move(key)) != m_map.end();
}
void push() {
delta d;
// d.m_deb_copy = m_map;
m_stack.push(d);
}
void revert() {
if (m_stack.empty()) return;
delta & d = m_stack.top();
for (auto & t : d.m_new) {
m_map.erase(t);
}
for (auto & t: d.m_original_changed) {
m_map[t.first] = t.second;
}
d.clear();
}
void pop() {
pop(1);
}
void pop(unsigned k) {
while (k-- > 0) {
if (m_stack.empty())
return;
delta & d = m_stack.top();
for (auto & t : d.m_new) {
m_map.erase(t);
}
for (auto & t: d.m_original_changed) {
m_map[t.first] = t.second;
}
// lp_assert(d.m_deb_copy == m_map);
m_stack.pop();
}
}
void erase(const typename std::map < A, B, _Pr, _Alloc>::iterator & it) {
erase(it->first);
}
void erase(const typename std::map < A, B, _Pr, _Alloc>::const_iterator & it) {
erase(it->first);
}
void erase(const typename std::map < A, B, _Pr, _Alloc>::reverse_iterator & it) {
erase(it->first);
}
void erase(const A & key) {
if (m_stack.empty()) {
m_map.erase(key);
return;
}
delta & d = m_stack.top();
auto it = m_map.find(key);
if (it == m_map.end()) {
lp_assert(d.m_new.find(key) == d.m_new.end());
return;
}
auto &orig_changed = d.m_original_changed;
auto nit = d.m_new.find(key);
if (nit == d.m_new.end()) { // key is old
if (orig_changed.find(key) == orig_changed.end())
orig_changed.emplace(it->first, it->second); // need to restore
} else { // k is new
lp_assert(orig_changed.find(key) == orig_changed.end());
d.m_new.erase(nit);
}
m_map.erase(it);
}
void clear() {
if (m_stack.empty()) {
m_map.clear();
return;
}
delta & d = m_stack.top();
auto & oc = d.m_original_changed;
for (auto & p : m_map) {
const auto & it = oc.find(p.first);
if (it == oc.end() && d.m_new.find(p.first) == d.m_new.end())
oc.emplace(p.first, p.second);
}
m_map.clear();
}
unsigned stack_size() const { return m_stack.size(); }
bool empty() const { return m_map.empty(); }
const std::map<A, B, _Pr, _Alloc>& operator()() const { return m_map;}
};
}

107
src/util/lp/stacked_unordered_set.h
View file

@ -1,107 +0,0 @@
/*++
Copyright (c) 2017 Microsoft Corporation
Module Name:
<name>
Abstract:
<abstract>
Author:
Lev Nachmanson (levnach)
Revision History:
--*/
#pragma once
// this class implements an unordered_set with some stack functionality
#include <unordered_set>
#include <set>
#include <stack>
namespace lp {
template <typename A,
typename Hash = std::hash<A>,
typename KeyEqual = std::equal_to<A>,
typename Allocator = std::allocator<A>
> class stacked_unordered_set {
struct delta {
std::unordered_set<A, Hash, KeyEqual> m_inserted;
std::unordered_set<A, Hash, KeyEqual> m_erased;
std::unordered_set<A, Hash, KeyEqual> m_deb_copy;
};
std::unordered_set<A, Hash, KeyEqual, Allocator> m_set;
std::stack<delta> m_stack;
public:
void insert(const A & a) {
if (m_stack.empty()) {
m_set.insert(a);
} else if (m_set.find(a) == m_set.end()) {
m_set.insert(a);
size_t in_erased = m_stack.top().m_erased.erase(a);
if (in_erased == 0) {
m_stack.top().m_inserted.insert(a);
}
}
}
void erase(const A &a) {
if (m_stack.empty()) {
m_set.erase(a);
return;
}
auto erased = m_set.erase(a);
if (erased == 1) {
auto was_new = m_stack.top().m_inserted.erase(a);
if (was_new == 0) {
m_stack.top().m_erased.insert(a);
}
}
}
unsigned size() const {
return m_set.size();
}
bool contains(A & key) const {
return m_set.find(key) != m_set.end();
}
bool contains(A && key) const {
return m_set.find(std::move(key)) != m_set.end();
}
void push() {
delta d;
d.m_deb_copy = m_set;
m_stack.push(d);
}
void pop() {
pop(1);
}
void pop(unsigned k) {
while (k-- > 0) {
if (m_stack.empty())
return;
delta & d = m_stack.top();
for (auto & t : d.m_inserted) {
m_set.erase(t);
}
for (auto & t : d.m_erased) {
m_set.insert(t);
}
lp_assert(d.m_deb_copy == m_set);
m_stack.pop();
}
}
const std::unordered_set<A, Hash, KeyEqual, Allocator>& operator()() const { return m_set;}
};
}

7
src/util/lp/static_matrix_def.h
View file

@ -260,10 +260,6 @@ template <typename T, typename X> void static_matrix<T, X>::check_consistency
for (auto & t : by_rows) {
auto ic = by_cols.find(t.first);
if (ic == by_cols.end()){
//std::cout << "rows have pair (" << t.first.first <<"," << t.first.second
// << "), but columns don't " << std::endl;
}
lp_assert(ic != by_cols.end());
lp_assert(t.second == ic->second);
}
@ -347,7 +343,6 @@ template <typename T, typename X> bool static_matrix<T, X>::is_correct() const {
std::unordered_set<unsigned> s;
for (auto & rc : r) {
if (s.find(rc.m_j) != s.end()) {
std::cout << "found column " << rc.m_j << " twice in a row " << i << std::endl;
return false;
}
s.insert(rc.m_j);
@ -358,7 +353,6 @@ template <typename T, typename X> bool static_matrix<T, X>::is_correct() const {
if (rc.get_val() != get_val(m_columns[rc.m_j][rc.m_offset]))
return false;
if (is_zero(rc.get_val())) {
std::cout << "found zero column " << rc.m_j << " in row " << i << std::endl;
return false;
}
@ -370,7 +364,6 @@ template <typename T, typename X> bool static_matrix<T, X>::is_correct() const {
std::unordered_set<unsigned> s;
for (auto & cc : c) {
if (s.find(cc.m_i) != s.end()) {
std::cout << "found row " << cc.m_i << " twice in a column " << j << std::endl;
return false;
}
s.insert(cc.m_i);

2
src/util/lp/test_bound_analyzer.h
View file

@ -115,7 +115,6 @@ public :
}
}
default:
// std::cout << " got an upper bound with " << T_to_string(l) << "\n";
m_implied_bounds.push_back(implied_bound(l, j, false, is_pos(m_coeffs[i]), m_row_or_term_index, strict));
}
}
@ -207,7 +206,6 @@ public :
}
}
default:
// std::cout << " got a lower bound with " << T_to_string(l) << "\n";
m_implied_bounds.push_back(implied_bound(l, j, true, is_pos(m_coeffs[i]), m_row_or_term_index, strict));
}
}

2
src/util/lp/var_register.h
View file

@ -34,6 +34,8 @@ public:
return ret;
}
const svector<unsigned> & vars() const { return m_local_vars_to_external; }
unsigned local_var_to_user_var(unsigned local_var) const {
return m_local_vars_to_external[local_var];
}

6
src/util/mpff.cpp
View file

@ -1070,7 +1070,7 @@ bool mpff_manager::is_power_of_two(mpff const & a) const {
template<bool SYNCH>
void mpff_manager::significand_core(mpff const & n, mpz_manager<SYNCH> & m, mpz & t) {
m.set(t, m_precision, sig(n));
m.set_digits(t, m_precision, sig(n));
}
void mpff_manager::significand(mpff const & n, unsynch_mpz_manager & m, mpz & t) {
@ -1090,10 +1090,10 @@ void mpff_manager::to_mpz_core(mpff const & n, mpz_manager<SYNCH> & m, mpz & t)
to_buffer(0, n);
unsigned * b = m_buffers[0].c_ptr();
shr(m_precision, b, -exp, m_precision, b);
m.set(t, m_precision, b);
m.set_digits(t, m_precision, b);
}
else {
m.set(t, m_precision, sig(n));
m.set_digits(t, m_precision, sig(n));
if (exp > 0) {
_scoped_numeral<mpz_manager<SYNCH> > p(m);
m.set(p, 2);

2
src/util/mpfx.cpp
View file

@ -705,7 +705,7 @@ template<bool SYNCH>
void mpfx_manager::to_mpz_core(mpfx const & n, mpz_manager<SYNCH> & m, mpz & t) {
SASSERT(is_int(n));
unsigned * w = words(n);
m.set(t, m_int_part_sz, w+m_frac_part_sz);
m.set_digits(t, m_int_part_sz, w+m_frac_part_sz);
if (is_neg(n))
m.neg(t);
}

106
src/util/mpq.cpp
View file

@ -315,6 +315,112 @@ unsigned mpq_manager<SYNCH>::prev_power_of_two(mpq const & a) {
return prev_power_of_two(_tmp);
}
template<bool SYNCH>
template<bool SUB>
void mpq_manager<SYNCH>::lin_arith_op(mpq const& a, mpq const& b, mpq& c, mpz& g, mpz& tmp1, mpz& tmp2, mpz& tmp3) {
gcd(a.m_den, b.m_den, g);
if (is_one(g)) {
mul(a.m_num, b.m_den, tmp1);
mul(b.m_num, a.m_den, tmp2);
if (SUB) sub(tmp1, tmp2, c.m_num); else add(tmp1, tmp2, c.m_num);
mul(a.m_den, b.m_den, c.m_den);
}
else {
div(a.m_den, g, tmp3);
mul(tmp3, b.m_den, c.m_den);
mul(tmp3, b.m_num, tmp2);
div(b.m_den, g, tmp3);
mul(tmp3, a.m_num, tmp1);
if (SUB) sub(tmp1, tmp2, tmp3); else add(tmp1, tmp2, tmp3);
gcd(tmp3, g, tmp1);
if (is_one(tmp1)) {
set(c.m_num, tmp3);
}
else {
div(tmp3, tmp1, c.m_num);
div(c.m_den, tmp1, c.m_den);
}
}
}
template<bool SYNCH>
void mpq_manager<SYNCH>::rat_mul(mpq const & a, mpq const & b, mpq & c, mpz& g1, mpz& g2, mpz& tmp1, mpz& tmp2) {
gcd(a.m_den, b.m_num, g1);
gcd(a.m_num, b.m_den, g2);
div(a.m_num, g2, tmp1);
div(b.m_num, g1, tmp2);
mul(tmp1, tmp2, c.m_num);
div(b.m_den, g2, tmp1);
div(a.m_den, g1, tmp2);
mul(tmp1, tmp2, c.m_den);
}
template<bool SYNCH>
void mpq_manager<SYNCH>::rat_mul(mpz const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " * " << to_string(b) << " == ";);
mul(a, b.m_num, c.m_num);
set(c.m_den, b.m_den);
normalize(c);
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
template<bool SYNCH>
void mpq_manager<SYNCH>::rat_mul(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " * " << to_string(b) << " == ";);
if (SYNCH) {
mpz g1, g2, tmp1, tmp2;
rat_mul(a, b, c, g1, g2, tmp1, tmp2);
del(g1);
del(g2);
del(tmp1);
del(tmp2);
}
else {
mpz& g1 = m_n_tmp, &g2 = m_addmul_tmp.m_num, &tmp1 = m_add_tmp1, &tmp2 = m_add_tmp2;
rat_mul(a, b, c, g1, g2, tmp1, tmp2);
}
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
template<bool SYNCH>
void mpq_manager<SYNCH>::rat_add(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " + " << to_string(b) << " == ";);
if (SYNCH) {
mpz_stack tmp1, tmp2, tmp3, g;
lin_arith_op<false>(a, b, c, g, tmp1, tmp2, tmp3);
del(tmp1);
del(tmp2);
del(tmp3);
del(g);
}
else {
mpz& g = m_n_tmp, &tmp1 = m_add_tmp1, &tmp2 = m_add_tmp2, &tmp3 = m_addmul_tmp.m_num;
lin_arith_op<false>(a, b, c, g, tmp1, tmp2, tmp3);
}
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
template<bool SYNCH>
void mpq_manager<SYNCH>::rat_sub(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " - " << to_string(b) << " == ";);
if (SYNCH) {
mpz tmp1, tmp2, tmp3, g;
lin_arith_op<true>(a, b, c, g, tmp1, tmp2, tmp3);
del(tmp1);
del(tmp2);
del(tmp3);
del(g);
}
else {
mpz& g = m_n_tmp, &tmp1 = m_add_tmp1, &tmp2 = m_add_tmp2, &tmp3 = m_addmul_tmp.m_num;
lin_arith_op<true>(a, b, c, g, tmp1, tmp2, tmp3);
}
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
template class mpq_manager<true>;
template class mpq_manager<false>;

71
src/util/mpq.h
View file

@ -74,27 +74,7 @@ class mpq_manager : public mpz_manager<SYNCH> {
}
}
void rat_add(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " + " << to_string(b) << " == ";);
if (SYNCH) {
mpz tmp1, tmp2;
mul(a.m_num, b.m_den, tmp1);
mul(b.m_num, a.m_den, tmp2);
mul(a.m_den, b.m_den, c.m_den);
add(tmp1, tmp2, c.m_num);
normalize(c);
del(tmp1);
del(tmp2);
}
else {
mul(a.m_num, b.m_den, m_add_tmp1);
mul(b.m_num, a.m_den, m_add_tmp2);
mul(a.m_den, b.m_den, c.m_den);
add(m_add_tmp1, m_add_tmp2, c.m_num);
normalize(c);
}
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
void rat_add(mpq const & a, mpq const & b, mpq & c);
void rat_add(mpq const & a, mpz const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " + " << to_string(b) << " == ";);
@ -115,46 +95,19 @@ class mpq_manager : public mpz_manager<SYNCH> {
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
void rat_sub(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " - " << to_string(b) << " == ";);
if (SYNCH) {
mpz tmp1, tmp2;
mul(a.m_num, b.m_den, tmp1);
mul(b.m_num, a.m_den, tmp2);
mul(a.m_den, b.m_den, c.m_den);
sub(tmp1, tmp2, c.m_num);
normalize(c);
del(tmp1);
del(tmp2);
}
else {
mul(a.m_num, b.m_den, m_add_tmp1);
mul(b.m_num, a.m_den, m_add_tmp2);
mul(a.m_den, b.m_den, c.m_den);
sub(m_add_tmp1, m_add_tmp2, c.m_num);
normalize(c);
}
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
void rat_sub(mpq const & a, mpq const & b, mpq & c);
void rat_mul(mpq const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " * " << to_string(b) << " == ";);
mul(a.m_num, b.m_num, c.m_num);
mul(a.m_den, b.m_den, c.m_den);
normalize(c);
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
void rat_mul(mpq const & a, mpq const & b, mpq & c);
void rat_mul(mpz const & a, mpq const & b, mpq & c) {
STRACE("rat_mpq", tout << "[mpq] " << to_string(a) << " * " << to_string(b) << " == ";);
mul(a, b.m_num, c.m_num);
set(c.m_den, b.m_den);
normalize(c);
STRACE("rat_mpq", tout << to_string(c) << "\n";);
}
void rat_mul(mpz const & a, mpq const & b, mpq & c);
bool rat_lt(mpq const & a, mpq const & b);
template<bool SUB>
void lin_arith_op(mpq const& a, mpq const& b, mpq& c, mpz& g, mpz& tmp1, mpz& tmp2, mpz& tmp3);
void rat_mul(mpq const & a, mpq const & b, mpq & c, mpz& g1, mpz& g2, mpz& tmp1, mpz& tmp2);
public:
typedef mpq numeral;
typedef mpq rational;
@ -746,10 +699,12 @@ public:
reset_denominator(a);
}
void set(mpz & a, unsigned sz, digit_t const * digits) { mpz_manager<SYNCH>::set(a, sz, digits); }
void set(mpz & a, unsigned sz, digit_t const * digits) {
mpz_manager<SYNCH>::set_digits(a, sz, digits);
}
void set(mpq & a, unsigned sz, digit_t const * digits) {
mpz_manager<SYNCH>::set(a.m_num, sz, digits);
mpz_manager<SYNCH>::set_digits(a.m_num, sz, digits);
reset_denominator(a);
}

709
src/util/mpz.cpp
View file

File diff suppressed because it is too large Load diff

437
src/util/mpz.h
View file

@ -64,6 +64,7 @@ class mpz_cell {
digit_t m_digits[0];
friend class mpz_manager<true>;
friend class mpz_manager<false>;
friend class mpz_stack;
};
#else
#include<gmp.h>
@ -72,17 +73,25 @@ class mpz_cell {
/**
\brief Multi-precision integer.
If m_ptr == 0, the it is a small number and the value is stored at m_val.
Otherwise, m_val contains the sign (-1 negative, 1 positive), and m_ptr points to a mpz_cell that
store the value. <<< This last statement is true only in Windows.
If m_kind == mpz_small, it is a small number and the value is stored in m_val.
If m_kind == mpz_ptr, the value is stored in m_ptr and m_ptr != nullptr.
m_val contains the sign (-1 negative, 1 positive)
under winodws, m_ptr points to a mpz_cell that store the value.
*/
enum mpz_kind { mpz_small = 0, mpz_ptr = 1};
enum mpz_owner { mpz_self = 0, mpz_ext = 1};
class mpz {
int m_val;
#ifndef _MP_GMP
mpz_cell * m_ptr;
typedef mpz_cell mpz_type;
#else
mpz_t * m_ptr;
typedef mpz_t mpz_type;
#endif
int m_val;
unsigned m_kind:1;
unsigned m_owner:1;
mpz_type * m_ptr;
friend class mpz_manager<true>;
friend class mpz_manager<false>;
friend class mpq_manager<true>;
@ -90,19 +99,38 @@ class mpz {
friend class mpq;
friend class mpbq;
friend class mpbq_manager;
friend class mpz_stack;
mpz & operator=(mpz const & other) { UNREACHABLE(); return *this; }
public:
mpz(int v):m_val(v), m_ptr(nullptr) {}
mpz():m_val(0), m_ptr(nullptr) {}
mpz(mpz && other) : m_val(other.m_val), m_ptr(nullptr) {
mpz(int v):m_val(v), m_kind(mpz_small), m_owner(mpz_self), m_ptr(nullptr) {}
mpz():m_val(0), m_kind(mpz_small), m_owner(mpz_self), m_ptr(nullptr) {}
mpz(mpz_type* ptr): m_val(0), m_kind(mpz_small), m_owner(mpz_ext), m_ptr(ptr) { SASSERT(ptr);}
mpz(mpz && other) : m_val(other.m_val), m_kind(mpz_small), m_owner(mpz_self), m_ptr(nullptr) {
std::swap(m_ptr, other.m_ptr);
unsigned o = m_owner; m_owner = other.m_owner; other.m_owner = o;
unsigned k = m_kind; m_kind = other.m_kind; other.m_kind = k;
}
void swap(mpz & other) {
std::swap(m_val, other.m_val);
std::swap(m_ptr, other.m_ptr);
unsigned o = m_owner; m_owner = other.m_owner; other.m_owner = o;
unsigned k = m_kind; m_kind = other.m_kind; other.m_kind = k;
}
};
#ifndef _MP_GMP
class mpz_stack : public mpz {
static const unsigned capacity = 8;
unsigned char m_bytes[sizeof(mpz_cell) + sizeof(digit_t) * capacity];
public:
mpz_stack():mpz(reinterpret_cast<mpz_cell*>(m_bytes)) {
m_ptr->m_capacity = capacity;
}
};
#else
class mpz_stack : public mpz {};
#endif
inline void swap(mpz & m1, mpz & m2) { m1.swap(m2); }
template<bool SYNCH = true>
@ -115,57 +143,56 @@ class mpz_manager {
#ifndef _MP_GMP
unsigned m_init_cell_capacity;
mpz_cell * m_tmp[2];
mpz_cell * m_arg[2];
mpz m_int_min;
static unsigned cell_size(unsigned capacity) { return sizeof(mpz_cell) + sizeof(digit_t) * capacity; }
static unsigned cell_size(unsigned capacity) {
return sizeof(mpz_cell) + sizeof(digit_t) * capacity;
}
mpz_cell * allocate(unsigned capacity) {
SASSERT(capacity >= m_init_cell_capacity);
MPZ_BEGIN_CRITICAL();
mpz_cell * cell = reinterpret_cast<mpz_cell *>(m_allocator.allocate(cell_size(capacity)));
MPZ_END_CRITICAL();
cell->m_capacity = capacity;
return cell;
}
void deallocate(mpz& n) {
if (n.m_ptr) {
deallocate(n.m_owner == mpz_self, n.m_ptr);
n.m_ptr = nullptr;
n.m_kind = mpz_small;
}
}
// make sure that n is a big number and has capacity equal to at least c.
void allocate_if_needed(mpz & n, unsigned c) {
if (c < m_init_cell_capacity)
c = m_init_cell_capacity;
if (is_small(n)) {
c = std::max(c, m_init_cell_capacity);
if (n.m_ptr == nullptr || capacity(n) < c) {
deallocate(n);
n.m_val = 1;
n.m_kind = mpz_ptr;
n.m_owner = mpz_self;
n.m_ptr = allocate(c);
n.m_ptr->m_capacity = c;
}
else if (capacity(n) < c) {
deallocate(n.m_ptr);
n.m_val = 1;
n.m_ptr = allocate(c);
n.m_ptr->m_capacity = c;
}
}
void deallocate(mpz_cell * ptr) {
m_allocator.deallocate(cell_size(ptr->m_capacity), ptr);
}
/**
\brief Make sure that m_tmp[IDX] can hold the given number of digits
*/
template<int IDX>
void ensure_tmp_capacity(unsigned capacity) {
if (m_tmp[IDX]->m_capacity >= capacity)
return;
deallocate(m_tmp[IDX]);
unsigned new_capacity = (3 * capacity + 1) >> 1;
m_tmp[IDX] = allocate(new_capacity);
SASSERT(m_tmp[IDX]->m_capacity >= capacity);
void deallocate(bool is_heap, mpz_cell * ptr) {
if (is_heap) {
MPZ_BEGIN_CRITICAL();
m_allocator.deallocate(cell_size(ptr->m_capacity), ptr);
MPZ_END_CRITICAL();
}
}
// Expand capacity of a while preserving its content.
void ensure_capacity(mpz & a, unsigned sz);
void normalize(mpz & a);
void clear(mpz& n) { }
#else
// GMP code
mpz_t m_tmp, m_tmp2;
@ -175,22 +202,34 @@ class mpz_manager {
mpz_t m_int64_max;
mpz_t m_int64_min;
mpz_t * allocate() {
mpz_t * allocate() {
MPZ_BEGIN_CRITICAL();
mpz_t * cell = reinterpret_cast<mpz_t*>(m_allocator.allocate(sizeof(mpz_t)));
MPZ_END_CRITICAL();
mpz_init(*cell);
return cell;
}
void deallocate(mpz_t * ptr) { mpz_clear(*ptr); m_allocator.deallocate(sizeof(mpz_t), ptr); }
void deallocate(bool is_heap, mpz_t * ptr) {
mpz_clear(*ptr);
if (is_heap) {
MPZ_BEGIN_CRITICAL();
m_allocator.deallocate(sizeof(mpz_t), ptr);
MPZ_END_CRITICAL();
}
}
void clear(mpz& n) { if (n.m_ptr) mpz_clear(n.m_ptr); }
#endif
mpz m_two64;
/**
\brief Set \c a with the value stored at m_tmp[IDX], and the given sign.
\c sz is an overapproximation of the size of the number stored at \c tmp.
\brief Set \c a with the value stored at src, and the given sign.
\c sz is an overapproximation of the size of the number stored at \c src.
*/
template<int IDX>
void set(mpz & a, int sign, unsigned sz);
void set(mpz_cell& src, mpz & a, int sign, unsigned sz);
static int64_t i64(mpz const & a) { return static_cast<int64_t>(a.m_val); }
@ -198,19 +237,19 @@ class mpz_manager {
void set_i64(mpz & c, int64_t v) {
if (v >= INT_MIN && v <= INT_MAX) {
del(c);
c.m_val = static_cast<int>(v);
c.m_kind = mpz_small;
}
else {
MPZ_BEGIN_CRITICAL();
set_big_i64(c, v);
MPZ_END_CRITICAL();
}
}
void set_big_ui64(mpz & c, uint64_t v);
#ifndef _MP_GMP
static unsigned capacity(mpz const & c) { return c.m_ptr->m_capacity; }
static unsigned size(mpz const & c) { return c.m_ptr->m_size; }
@ -241,16 +280,28 @@ class mpz_manager {
return ((static_cast<uint64_t>(digits(a)[1]) << 32) | (static_cast<uint64_t>(digits(a)[0])));
}
template<int IDX>
void get_sign_cell(mpz const & a, int & sign, mpz_cell * & cell) {
class sign_cell {
static const unsigned capacity = 2;
unsigned char m_bytes[sizeof(mpz_cell) + sizeof(digit_t) * capacity];
mpz m_local;
mpz const& m_a;
int m_sign;
mpz_cell* m_cell;
public:
sign_cell(mpz_manager& m, mpz const& a);
int sign() { return m_sign; }
mpz_cell const* cell() { return m_cell; }
};
void get_sign_cell(mpz const & a, int & sign, mpz_cell * & cell, mpz_cell* reserve) {
if (is_small(a)) {
if (a.m_val == INT_MIN) {
sign = -1;
cell = m_int_min.m_ptr;
}
else {
cell = m_arg[IDX];
SASSERT(cell->m_size == 1);
cell = reserve;
cell->m_size = 1;
if (a.m_val < 0) {
sign = -1;
cell->m_digits[0] = -a.m_val;
@ -266,26 +317,29 @@ class mpz_manager {
cell = a.m_ptr;
}
}
#else
// GMP code
template<int IDX>
void get_arg(mpz const & a, mpz_t * & result) {
if (is_small(a)) {
result = m_arg[IDX];
mpz_set_si(*result, a.m_val);
}
else {
result = a.m_ptr;
}
}
class ensure_mpz_t {
mpz_t m_local;
mpz_t* m_result;
public:
ensure_mpz_t(mpz const& a);
~ensure_mpz_t();
mpz_t& operator()() { return *m_result; }
};
void mk_big(mpz & a) {
if (a.m_ptr == 0) {
if (a.m_ptr == null) {
a.m_val = 0;
a.m_ptr = allocate();
a.m_owner = mpz_self;
}
a.m_kind = mpz_ptr;
}
#endif
#ifndef _MP_GMP
@ -333,245 +387,49 @@ public:
~mpz_manager();
static bool is_small(mpz const & a) { return a.m_ptr == nullptr; }
static bool is_small(mpz const & a) { return a.m_kind == mpz_small; }
static mpz mk_z(int val) { return mpz(val); }
void del(mpz & a) {
if (a.m_ptr != nullptr) {
MPZ_BEGIN_CRITICAL();
deallocate(a.m_ptr);
MPZ_END_CRITICAL();
a.m_ptr = nullptr;
}
}
void del(mpz & a);
void add(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz] " << to_string(a) << " + " << to_string(b) << " == ";);
if (is_small(a) && is_small(b)) {
set_i64(c, i64(a) + i64(b));
}
else {
MPZ_BEGIN_CRITICAL();
big_add(a, b, c);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void add(mpz const & a, mpz const & b, mpz & c);
void sub(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz] " << to_string(a) << " - " << to_string(b) << " == ";);
if (is_small(a) && is_small(b)) {
set_i64(c, i64(a) - i64(b));
}
else {
MPZ_BEGIN_CRITICAL();
big_sub(a, b, c);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void sub(mpz const & a, mpz const & b, mpz & c);
void inc(mpz & a) { add(a, mpz(1), a); }
void dec(mpz & a) { add(a, mpz(-1), a); }
void mul(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz] " << to_string(a) << " * " << to_string(b) << " == ";);
if (is_small(a) && is_small(b)) {
set_i64(c, i64(a) * i64(b));
}
else {
MPZ_BEGIN_CRITICAL();
big_mul(a, b, c);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void mul(mpz const & a, mpz const & b, mpz & c);
// d <- a + b*c
void addmul(mpz const & a, mpz const & b, mpz const & c, mpz & d) {
if (is_one(b)) {
add(a, c, d);
}
else if (is_minus_one(b)) {
sub(a, c, d);
}
else {
mpz tmp;
mul(b,c,tmp);
add(a,tmp,d);
del(tmp);
}
}
void addmul(mpz const & a, mpz const & b, mpz const & c, mpz & d);
// d <- a - b*c
void submul(mpz const & a, mpz const & b, mpz const & c, mpz & d) {
if (is_one(b)) {
sub(a, c, d);
}
else if (is_minus_one(b)) {
add(a, c, d);
}
else {
mpz tmp;
mul(b,c,tmp);
sub(a,tmp,d);
del(tmp);
}
}
void submul(mpz const & a, mpz const & b, mpz const & c, mpz & d);
void machine_div_rem(mpz const & a, mpz const & b, mpz & q, mpz & r);
void machine_div_rem(mpz const & a, mpz const & b, mpz & q, mpz & r) {
STRACE("mpz", tout << "[mpz-ext] divrem(" << to_string(a) << ", " << to_string(b) << ") == ";);
if (is_small(a) && is_small(b)) {
int64_t _a = i64(a);
int64_t _b = i64(b);
set_i64(q, _a / _b);
set_i64(r, _a % _b);
}
else {
MPZ_BEGIN_CRITICAL();
big_div_rem(a, b, q, r);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << "(" << to_string(q) << ", " << to_string(r) << ")\n";);
}
void machine_div(mpz const & a, mpz const & b, mpz & c);
void machine_div(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz-ext] machine-div(" << to_string(a) << ", " << to_string(b) << ") == ";);
if (is_small(a) && is_small(b)) {
set_i64(c, i64(a) / i64(b));
}
else {
MPZ_BEGIN_CRITICAL();
big_div(a, b, c);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void rem(mpz const & a, mpz const & b, mpz & c);
void rem(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz-ext] rem(" << to_string(a) << ", " << to_string(b) << ") == ";);
if (is_small(a) && is_small(b)) {
set_i64(c, i64(a) % i64(b));
}
else {
MPZ_BEGIN_CRITICAL();
big_rem(a, b, c);
MPZ_END_CRITICAL();
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void div_gcd(mpz const & a, mpz const & b, mpz & c);
void div(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz-ext] div(" << to_string(a) << ", " << to_string(b) << ") == ";);
if (is_neg(a)) {
mpz tmp;
machine_div_rem(a, b, c, tmp);
if (!is_zero(tmp)) {
if (is_neg(b))
add(c, mk_z(1), c);
else
sub(c, mk_z(1), c);
}
del(tmp);
}
else {
machine_div(a, b, c);
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void div(mpz const & a, mpz const & b, mpz & c);
void mod(mpz const & a, mpz const & b, mpz & c) {
STRACE("mpz", tout << "[mpz-ext] mod(" << to_string(a) << ", " << to_string(b) << ") == ";);
rem(a, b, c);
if (is_neg(c)) {
if (is_pos(b))
add(c, b, c);
else
sub(c, b, c);
}
STRACE("mpz", tout << to_string(c) << "\n";);
}
void mod(mpz const & a, mpz const & b, mpz & c);
void neg(mpz & a) {
STRACE("mpz", tout << "[mpz] 0 - " << to_string(a) << " == ";);
if (is_small(a) && a.m_val == INT_MIN) {
// neg(INT_MIN) is not a small int
MPZ_BEGIN_CRITICAL();
set_big_i64(a, - static_cast<long long>(INT_MIN));
MPZ_END_CRITICAL();
return;
}
#ifndef _MP_GMP
a.m_val = -a.m_val;
#else
if (is_small(a)) {
a.m_val = -a.m_val;
}
else {
mpz_neg(*a.m_ptr, *a.m_ptr);
}
#endif
STRACE("mpz", tout << to_string(a) << "\n";);
}
void neg(mpz & a);
void abs(mpz & a) {
if (is_small(a)) {
if (a.m_val < 0) {
if (a.m_val == INT_MIN) {
// abs(INT_MIN) is not a small int
MPZ_BEGIN_CRITICAL();
set_big_i64(a, - static_cast<long long>(INT_MIN));
MPZ_END_CRITICAL();
}
else
a.m_val = -a.m_val;
}
}
else {
#ifndef _MP_GMP
a.m_val = 1;
#else
mpz_abs(*a.m_ptr, *a.m_ptr);
#endif
}
}
void abs(mpz & a);
static bool is_pos(mpz const & a) {
#ifndef _MP_GMP
return a.m_val > 0;
#else
if (is_small(a))
return a.m_val > 0;
else
return mpz_sgn(*a.m_ptr) > 0;
#endif
}
static bool is_pos(mpz const & a) { return sign(a) > 0; }
static bool is_neg(mpz const & a) {
#ifndef _MP_GMP
return a.m_val < 0;
#else
if (is_small(a))
return a.m_val < 0;
else
return mpz_sgn(*a.m_ptr) < 0;
#endif
}
static bool is_neg(mpz const & a) { return sign(a) < 0; }
static bool is_zero(mpz const & a) {
#ifndef _MP_GMP
return a.m_val == 0;
#else
if (is_small(a))
return a.m_val == 0;
else
return mpz_sgn(*a.m_ptr) == 0;
#endif
}
static bool is_zero(mpz const & a) { return sign(a) == 0; }
static int sign(mpz const & a) {
#ifndef _MP_GMP
@ -593,10 +451,7 @@ public:
return a.m_val == b.m_val;
}
else {
MPZ_BEGIN_CRITICAL();
bool res = big_compare(a, b) == 0;
MPZ_END_CRITICAL();
return res;
return big_compare(a, b) == 0;
}
}
@ -614,10 +469,7 @@ public:
return a.m_val < b.m_val;
}
else {
MPZ_BEGIN_CRITICAL();
bool res = big_compare(a, b) < 0;
MPZ_END_CRITICAL();
return res;
return big_compare(a, b) < 0;
}
}
@ -661,25 +513,24 @@ public:
void set(mpz & target, mpz const & source) {
if (is_small(source)) {
del(target);
target.m_val = source.m_val;
target.m_kind = mpz_small;
}
else {
MPZ_BEGIN_CRITICAL();
big_set(target, source);
MPZ_END_CRITICAL();
}
}
void set(mpz & target, mpz && source) {
del(target);
target.m_val = source.m_val;
std::swap(target.m_ptr, source.m_ptr);
auto o = target.m_owner; target.m_owner = source.m_owner; source.m_owner = o;
auto k = target.m_kind; target.m_kind = source.m_kind; source.m_kind = k;
}
void set(mpz & a, int val) {
del(a);
a.m_val = val;
a.m_kind = mpz_small;
}
void set(mpz & a, unsigned val) {
@ -697,17 +548,15 @@ public:
void set(mpz & a, uint64_t val) {
if (val < INT_MAX) {
del(a);
a.m_val = static_cast<int>(val);
a.m_kind = mpz_small;
}
else {
MPZ_BEGIN_CRITICAL();
set_big_ui64(a, val);
MPZ_END_CRITICAL();
}
}
void set(mpz & target, unsigned sz, digit_t const * digits);
void set_digits(mpz & target, unsigned sz, digit_t const * digits);
mpz dup(const mpz & source) {
mpz temp;
@ -716,13 +565,15 @@ public:
}
void reset(mpz & a) {
del(a);
a.m_val = 0;
a.m_kind = mpz_small;
}
void swap(mpz & a, mpz & b) {
std::swap(a.m_val, b.m_val);
std::swap(a.m_ptr, b.m_ptr);
auto o = a.m_owner; a.m_owner = b.m_owner; b.m_owner = o;
auto k = a.m_kind; a.m_kind = b.m_kind; b.m_kind = k;
}
bool is_uint64(mpz const & a) const;