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GCC Code Coverage Report

Directory:	.		Exec	Total	Coverage
File:	src/preprocessing/passes/fun_def_fmf.cpp	Lines:	219	231	94.8 %
Date:	2021-09-29	Branches:	462	970	47.6 %


/******************************************************************************
 * Top contributors (to current version):
 *   Andrew Reynolds, Haniel Barbosa, Aina Niemetz
 *
 * This file is part of the cvc5 project.
 *
 * Copyright (c) 2009-2021 by the authors listed in the file AUTHORS
 * in the top-level source directory and their institutional affiliations.
 * All rights reserved.  See the file COPYING in the top-level source
 * directory for licensing information.
 * ****************************************************************************
 *
 * Function definition processor for finite model finding.
 */

#include "preprocessing/passes/fun_def_fmf.h"

#include <sstream>

#include "expr/skolem_manager.h"
#include "options/smt_options.h"
#include "preprocessing/assertion_pipeline.h"
#include "preprocessing/preprocessing_pass_context.h"
#include "theory/quantifiers/quantifiers_attributes.h"
#include "theory/quantifiers/term_database.h"
#include "theory/quantifiers/term_util.h"
#include "theory/rewriter.h"

using namespace std;
using namespace cvc5::kind;
using namespace cvc5::theory;
using namespace cvc5::theory::quantifiers;

namespace cvc5 {
namespace preprocessing {
namespace passes {

FunDefFmf::FunDefFmf(PreprocessingPassContext* preprocContext)
    : PreprocessingPass(preprocContext, "fun-def-fmf"),
      d_fmfRecFunctionsDefined(nullptr)
{
  d_fmfRecFunctionsDefined = new (true) NodeList(userContext());
}

FunDefFmf::~FunDefFmf() { d_fmfRecFunctionsDefined->deleteSelf(); }

PreprocessingPassResult FunDefFmf::applyInternal(
    AssertionPipeline* assertionsToPreprocess)
{
  Assert(d_fmfRecFunctionsDefined != nullptr);
  // reset
  d_sorts.clear();
  d_input_arg_inj.clear();
  d_funcs.clear();
  // must carry over current definitions (in case of incremental)
  for (context::CDList<Node>::const_iterator fit =
           d_fmfRecFunctionsDefined->begin();
       fit != d_fmfRecFunctionsDefined->end();
       ++fit)
  {
    Node f = (*fit);
    Assert(d_fmfRecFunctionsAbs.find(f) != d_fmfRecFunctionsAbs.end());
    TypeNode ft = d_fmfRecFunctionsAbs[f];
    d_sorts[f] = ft;
    std::map<Node, std::vector<Node>>::iterator fcit =
        d_fmfRecFunctionsConcrete.find(f);
    Assert(fcit != d_fmfRecFunctionsConcrete.end());
    for (const Node& fcc : fcit->second)
    {
      d_input_arg_inj[f].push_back(fcc);
    }
  }
  process(assertionsToPreprocess);
  // must store new definitions (in case of incremental)
  for (const Node& f : d_funcs)
  {
    d_fmfRecFunctionsAbs[f] = d_sorts[f];
    d_fmfRecFunctionsConcrete[f].clear();
    for (const Node& fcc : d_input_arg_inj[f])
    {
      d_fmfRecFunctionsConcrete[f].push_back(fcc);
    }
    d_fmfRecFunctionsDefined->push_back(f);
  }
  return PreprocessingPassResult::NO_CONFLICT;
}

void FunDefFmf::process(AssertionPipeline* assertionsToPreprocess)
{
  const std::vector<Node>& assertions = assertionsToPreprocess->ref();
  std::vector<int> fd_assertions;
  std::map<int, Node> subs_head;
  // first pass : find defined functions, transform quantifiers
  NodeManager* nm = NodeManager::currentNM();
  SkolemManager* sm = nm->getSkolemManager();
  for (size_t i = 0, asize = assertions.size(); i < asize; i++)
  {
    Node n = QuantAttributes::getFunDefHead(assertions[i]);
    if (!n.isNull())
    {
      Assert(n.getKind() == APPLY_UF);
      Node f = n.getOperator();

      // check if already defined, if so, throw error
      if (d_sorts.find(f) != d_sorts.end())
      {
        Unhandled() << "Cannot define function " << f << " more than once.";
      }

      Node bd = QuantAttributes::getFunDefBody(assertions[i]);
      Trace("fmf-fun-def-debug")
          << "Process function " << n << ", body = " << bd << std::endl;
      if (!bd.isNull())
      {
        d_funcs.push_back(f);
        bd = nm->mkNode(EQUAL, n, bd);

        // create a sort S that represents the inputs of the function
        std::stringstream ss;
        ss << "I_" << f;
        TypeNode iType = nm->mkSort(ss.str());
        AbsTypeFunDefAttribute atfda;
        iType.setAttribute(atfda, true);
        d_sorts[f] = iType;

        // create functions f1...fn mapping from this sort to concrete elements
        size_t nchildn = n.getNumChildren();
        for (size_t j = 0; j < nchildn; j++)
        {
          TypeNode typ = nm->mkFunctionType(iType, n[j].getType());
          std::stringstream ssf;
          ssf << f << "_arg_" << j;
          d_input_arg_inj[f].push_back(sm->mkDummySkolem(
              ssf.str(), typ, "op created during fun def fmf"));
        }

        // construct new quantifier forall S. F[f1(S)/x1....fn(S)/xn]
        std::vector<Node> children;
        Node bv = nm->mkBoundVar("?i", iType);
        Node bvl = nm->mkNode(BOUND_VAR_LIST, bv);
        std::vector<Node> subs;
        std::vector<Node> vars;
        for (size_t j = 0; j < nchildn; j++)
        {
          vars.push_back(n[j]);
          subs.push_back(nm->mkNode(APPLY_UF, d_input_arg_inj[f][j], bv));
        }
        bd = bd.substitute(vars.begin(), vars.end(), subs.begin(), subs.end());
        subs_head[i] =
            n.substitute(vars.begin(), vars.end(), subs.begin(), subs.end());

        Trace("fmf-fun-def")
            << "FMF fun def: FUNCTION : rewrite " << assertions[i] << std::endl;
        Trace("fmf-fun-def") << "  to " << std::endl;
        Node new_q = nm->mkNode(FORALL, bvl, bd);
        new_q = rewrite(new_q);
        assertionsToPreprocess->replace(i, new_q);
        Trace("fmf-fun-def") << "  " << assertions[i] << std::endl;
        fd_assertions.push_back(i);
      }
      else
      {
        // can be, e.g. in corner cases forall x. f(x)=f(x), forall x.
        // f(x)=f(x)+1
      }
    }
  }
  // second pass : rewrite assertions
  std::map<int, std::map<Node, Node>> visited;
  std::map<int, std::map<Node, Node>> visited_cons;
  for (size_t i = 0, asize = assertions.size(); i < asize; i++)
  {
    bool is_fd = std::find(fd_assertions.begin(), fd_assertions.end(), i)
                 != fd_assertions.end();
    std::vector<Node> constraints;
    Trace("fmf-fun-def-rewrite")
        << "Rewriting " << assertions[i]
        << ", is function definition = " << is_fd << std::endl;
    Node n = simplifyFormula(assertions[i],
                             true,
                             true,
                             constraints,
                             is_fd ? subs_head[i] : Node::null(),
                             is_fd,
                             visited,
                             visited_cons);
    Assert(constraints.empty());
    if (n != assertions[i])
    {
      n = rewrite(n);
      Trace("fmf-fun-def-rewrite")
          << "FMF fun def : rewrite " << assertions[i] << std::endl;
      Trace("fmf-fun-def-rewrite") << "  to " << std::endl;
      Trace("fmf-fun-def-rewrite") << "  " << n << std::endl;
      assertionsToPreprocess->replace(i, n);
    }
  }
}

Node FunDefFmf::simplifyFormula(
    Node n,
    bool pol,
    bool hasPol,
    std::vector<Node>& constraints,
    Node hd,
    bool is_fun_def,
    std::map<int, std::map<Node, Node>>& visited,
    std::map<int, std::map<Node, Node>>& visited_cons)
{
  Assert(constraints.empty());
  int index = (is_fun_def ? 1 : 0) + 2 * (hasPol ? (pol ? 1 : -1) : 0);
  std::map<Node, Node>::iterator itv = visited[index].find(n);
  if (itv != visited[index].end())
  {
    // constraints.insert( visited_cons[index]
    std::map<Node, Node>::iterator itvc = visited_cons[index].find(n);
    if (itvc != visited_cons[index].end())
    {
      constraints.push_back(itvc->second);
    }
    return itv->second;
  }
  NodeManager* nm = NodeManager::currentNM();
  Node ret;
  Trace("fmf-fun-def-debug2") << "Simplify " << n << " " << pol << " " << hasPol
                              << " " << is_fun_def << std::endl;
  if (n.getKind() == FORALL)
  {
    Node c = simplifyFormula(
        n[1], pol, hasPol, constraints, hd, is_fun_def, visited, visited_cons);
    // append prenex to constraints
    for (unsigned i = 0; i < constraints.size(); i++)
    {
      constraints[i] = nm->mkNode(FORALL, n[0], constraints[i]);
      constraints[i] = rewrite(constraints[i]);
    }
    if (c != n[1])
    {
      ret = nm->mkNode(FORALL, n[0], c);
    }
    else
    {
      ret = n;
    }
  }
  else
  {
    Node nn = n;
    bool isBool = n.getType().isBoolean();
    if (isBool && n.getKind() != APPLY_UF)
    {
      std::vector<Node> children;
      bool childChanged = false;
      // are we at a branch position (not all children are necessarily
      // relevant)?
      bool branch_pos =
          (n.getKind() == ITE || n.getKind() == OR || n.getKind() == AND);
      std::vector<Node> branch_constraints;
      for (unsigned i = 0; i < n.getNumChildren(); i++)
      {
        Node c = n[i];
        // do not process LHS of definition
        if (!is_fun_def || c != hd)
        {
          bool newHasPol;
          bool newPol;
          QuantPhaseReq::getPolarity(n, i, hasPol, pol, newHasPol, newPol);
          // get child constraints
          std::vector<Node> cconstraints;
          c = simplifyFormula(n[i],
                              newPol,
                              newHasPol,
                              cconstraints,
                              hd,
                              false,
                              visited,
                              visited_cons);
          if (branch_pos)
          {
            // if at a branching position, the other constraints don't matter
            // if this is satisfied
            Node bcons = nm->mkAnd(cconstraints);
            branch_constraints.push_back(bcons);
            Trace("fmf-fun-def-debug2") << "Branching constraint at arg " << i
                                        << " is " << bcons << std::endl;
          }
          constraints.insert(
              constraints.end(), cconstraints.begin(), cconstraints.end());
        }
        children.push_back(c);
        childChanged = c != n[i] || childChanged;
      }
      if (childChanged)
      {
        nn = nm->mkNode(n.getKind(), children);
      }
      if (branch_pos && !constraints.empty())
      {
        // if we are at a branching position in the formula, we can
        // minimize recursive constraints on recursively defined predicates if
        // we know one child forces the overall evaluation of this formula.
        Node branch_cond;
        if (n.getKind() == ITE)
        {
          // always care about constraints on the head of the ITE, but only
          // care about one of the children depending on how it evaluates
          branch_cond = nm->mkNode(
              AND,
              branch_constraints[0],
              nm->mkNode(
                  ITE, n[0], branch_constraints[1], branch_constraints[2]));
        }
        else
        {
          // in the default case, we care about all conditions
          branch_cond = nm->mkAnd(constraints);
          for (size_t i = 0, nchild = n.getNumChildren(); i < nchild; i++)
          {
            // if this child holds with forcing polarity (true child of OR or
            // false child of AND), then we only care about its associated
            // recursive conditions
            branch_cond = nm->mkNode(ITE,
                                     (n.getKind() == OR ? n[i] : n[i].negate()),
                                     branch_constraints[i],
                                     branch_cond);
          }
        }
        Trace("fmf-fun-def-debug2")
            << "Made branching condition " << branch_cond << std::endl;
        constraints.clear();
        constraints.push_back(branch_cond);
      }
    }
    else
    {
      // simplify term
      std::map<Node, Node> visitedT;
      getConstraints(n, constraints, visitedT);
    }
    if (!constraints.empty() && isBool && hasPol)
    {
      // conjoin with current
      Node cons = nm->mkAnd(constraints);
      if (pol)
      {
        ret = nm->mkNode(AND, nn, cons);
      }
      else
      {
        ret = nm->mkNode(OR, nn, cons.negate());
      }
      Trace("fmf-fun-def-debug2")
          << "Add constraint to obtain " << ret << std::endl;
      constraints.clear();
    }
    else
    {
      ret = nn;
    }
  }
  if (!constraints.empty())
  {
    Node cons;
    // flatten to AND node for the purposes of caching
    if (constraints.size() > 1)
    {
      cons = nm->mkNode(AND, constraints);
      cons = rewrite(cons);
      constraints.clear();
      constraints.push_back(cons);
    }
    else
    {
      cons = constraints[0];
    }
    visited_cons[index][n] = cons;
    Assert(constraints.size() == 1 && constraints[0] == cons);
  }
  visited[index][n] = ret;
  return ret;
}

void FunDefFmf::getConstraints(Node n,
                               std::vector<Node>& constraints,
                               std::map<Node, Node>& visited)
{
  std::map<Node, Node>::iterator itv = visited.find(n);
  if (itv != visited.end())
  {
    // already visited
    if (!itv->second.isNull())
    {
      // add the cached constraint if it does not already occur
      if (std::find(constraints.begin(), constraints.end(), itv->second)
          == constraints.end())
      {
        constraints.push_back(itv->second);
      }
    }
    return;
  }
  visited[n] = Node::null();
  std::vector<Node> currConstraints;
  NodeManager* nm = NodeManager::currentNM();
  if (n.getKind() == ITE)
  {
    // collect constraints for the condition
    getConstraints(n[0], currConstraints, visited);
    // collect constraints for each branch
    Node cs[2];
    for (unsigned i = 0; i < 2; i++)
    {
      std::vector<Node> ccons;
      getConstraints(n[i + 1], ccons, visited);
      cs[i] = nm->mkAnd(ccons);
    }
    if (!cs[0].isConst() || !cs[1].isConst())
    {
      Node itec = nm->mkNode(ITE, n[0], cs[0], cs[1]);
      currConstraints.push_back(itec);
      Trace("fmf-fun-def-debug")
          << "---> add constraint " << itec << " for " << n << std::endl;
    }
  }
  else
  {
    if (n.getKind() == APPLY_UF)
    {
      // check if f is defined, if so, we must enforce domain constraints for
      // this f-application
      Node f = n.getOperator();
      std::map<Node, TypeNode>::iterator it = d_sorts.find(f);
      if (it != d_sorts.end())
      {
        // create existential
        Node z = nm->mkBoundVar("?z", it->second);
        Node bvl = nm->mkNode(BOUND_VAR_LIST, z);
        std::vector<Node> children;
        for (unsigned j = 0, size = n.getNumChildren(); j < size; j++)
        {
          Node uz = nm->mkNode(APPLY_UF, d_input_arg_inj[f][j], z);
          children.push_back(uz.eqNode(n[j]));
        }
        Node bd = nm->mkAnd(children);
        bd = bd.negate();
        Node ex = nm->mkNode(FORALL, bvl, bd);
        ex = ex.negate();
        currConstraints.push_back(ex);
        Trace("fmf-fun-def-debug")
            << "---> add constraint " << ex << " for " << n << std::endl;
      }
    }
    for (const Node& cn : n)
    {
      getConstraints(cn, currConstraints, visited);
    }
  }
  // set the visited cache
  if (!currConstraints.empty())
  {
    Node finalc = nm->mkAnd(currConstraints);
    visited[n] = finalc;
    // add to constraints
    getConstraints(n, constraints, visited);
  }
}

}  // namespace passes
}  // namespace preprocessing
}  // namespace cvc5


Generated by: GCOVR (Version 3.2)

Line	Exec	Source
1		/******************************************************************************
2		* Top contributors (to current version):
3		* Andrew Reynolds, Haniel Barbosa, Aina Niemetz
4		*
5		* This file is part of the cvc5 project.
6		*
7		* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS
8		* in the top-level source directory and their institutional affiliations.
9		* All rights reserved. See the file COPYING in the top-level source
10		* directory for licensing information.
11		* ****************************************************************************
12		*
13		* Function definition processor for finite model finding.
14		*/
15
16		#include "preprocessing/passes/fun_def_fmf.h"
17
18		#include <sstream>
19
20		#include "expr/skolem_manager.h"
21		#include "options/smt_options.h"
22		#include "preprocessing/assertion_pipeline.h"
23		#include "preprocessing/preprocessing_pass_context.h"
24		#include "theory/quantifiers/quantifiers_attributes.h"
25		#include "theory/quantifiers/term_database.h"
26		#include "theory/quantifiers/term_util.h"
27		#include "theory/rewriter.h"
28
29		using namespace std;
30		using namespace cvc5::kind;
31		using namespace cvc5::theory;
32		using namespace cvc5::theory::quantifiers;
33
34		namespace cvc5 {
35		namespace preprocessing {
36		namespace passes {
37
38	6271	FunDefFmf::FunDefFmf(PreprocessingPassContext* preprocContext)
39		: PreprocessingPass(preprocContext, "fun-def-fmf"),
40	6271	d_fmfRecFunctionsDefined(nullptr)
41		{
42	6271	d_fmfRecFunctionsDefined = new (true) NodeList(userContext());
43	6271	}
44
45	12536	FunDefFmf::~FunDefFmf() { d_fmfRecFunctionsDefined->deleteSelf(); }
46
47	73	PreprocessingPassResult FunDefFmf::applyInternal(
48		AssertionPipeline* assertionsToPreprocess)
49		{
50	73	Assert(d_fmfRecFunctionsDefined != nullptr);
51		// reset
52	73	d_sorts.clear();
53	73	d_input_arg_inj.clear();
54	73	d_funcs.clear();
55		// must carry over current definitions (in case of incremental)
56	95	for (context::CDList<Node>::const_iterator fit =
57	73	d_fmfRecFunctionsDefined->begin();
58	168	fit != d_fmfRecFunctionsDefined->end();
59		++fit)
60		{
61	190	Node f = (*fit);
62	95	Assert(d_fmfRecFunctionsAbs.find(f) != d_fmfRecFunctionsAbs.end());
63	190	TypeNode ft = d_fmfRecFunctionsAbs[f];
64	95	d_sorts[f] = ft;
65		std::map<Node, std::vector<Node>>::iterator fcit =
66	95	d_fmfRecFunctionsConcrete.find(f);
67	95	Assert(fcit != d_fmfRecFunctionsConcrete.end());
68	633	for (const Node& fcc : fcit->second)
69		{
70	538	d_input_arg_inj[f].push_back(fcc);
71		}
72		}
73	73	process(assertionsToPreprocess);
74		// must store new definitions (in case of incremental)
75	131	for (const Node& f : d_funcs)
76		{
77	58	d_fmfRecFunctionsAbs[f] = d_sorts[f];
78	58	d_fmfRecFunctionsConcrete[f].clear();
79	233	for (const Node& fcc : d_input_arg_inj[f])
80		{
81	175	d_fmfRecFunctionsConcrete[f].push_back(fcc);
82		}
83	58	d_fmfRecFunctionsDefined->push_back(f);
84		}
85	73	return PreprocessingPassResult::NO_CONFLICT;
86		}
87
88	73	void FunDefFmf::process(AssertionPipeline* assertionsToPreprocess)
89		{
90	73	const std::vector<Node>& assertions = assertionsToPreprocess->ref();
91	146	std::vector<int> fd_assertions;
92	146	std::map<int, Node> subs_head;
93		// first pass : find defined functions, transform quantifiers
94	73	NodeManager* nm = NodeManager::currentNM();
95	73	SkolemManager* sm = nm->getSkolemManager();
96	371	for (size_t i = 0, asize = assertions.size(); i < asize; i++)
97		{
98	596	Node n = QuantAttributes::getFunDefHead(assertions[i]);
99	298	if (!n.isNull())
100		{
101	58	Assert(n.getKind() == APPLY_UF);
102	116	Node f = n.getOperator();
103
104		// check if already defined, if so, throw error
105	58	if (d_sorts.find(f) != d_sorts.end())
106		{
107		Unhandled() << "Cannot define function " << f << " more than once.";
108		}
109
110	116	Node bd = QuantAttributes::getFunDefBody(assertions[i]);
111	116	Trace("fmf-fun-def-debug")
112	58	<< "Process function " << n << ", body = " << bd << std::endl;
113	58	if (!bd.isNull())
114		{
115	58	d_funcs.push_back(f);
116	58	bd = nm->mkNode(EQUAL, n, bd);
117
118		// create a sort S that represents the inputs of the function
119	116	std::stringstream ss;
120	58	ss << "I_" << f;
121	116	TypeNode iType = nm->mkSort(ss.str());
122		AbsTypeFunDefAttribute atfda;
123	58	iType.setAttribute(atfda, true);
124	58	d_sorts[f] = iType;
125
126		// create functions f1...fn mapping from this sort to concrete elements
127	58	size_t nchildn = n.getNumChildren();
128	233	for (size_t j = 0; j < nchildn; j++)
129		{
130	350	TypeNode typ = nm->mkFunctionType(iType, n[j].getType());
131	350	std::stringstream ssf;
132	175	ssf << f << "_arg_" << j;
133	525	d_input_arg_inj[f].push_back(sm->mkDummySkolem(
134	350	ssf.str(), typ, "op created during fun def fmf"));
135		}
136
137		// construct new quantifier forall S. F[f1(S)/x1....fn(S)/xn]
138	116	std::vector<Node> children;
139	116	Node bv = nm->mkBoundVar("?i", iType);
140	116	Node bvl = nm->mkNode(BOUND_VAR_LIST, bv);
141	116	std::vector<Node> subs;
142	116	std::vector<Node> vars;
143	233	for (size_t j = 0; j < nchildn; j++)
144		{
145	175	vars.push_back(n[j]);
146	175	subs.push_back(nm->mkNode(APPLY_UF, d_input_arg_inj[f][j], bv));
147		}
148	58	bd = bd.substitute(vars.begin(), vars.end(), subs.begin(), subs.end());
149	58	subs_head[i] =
150	116	n.substitute(vars.begin(), vars.end(), subs.begin(), subs.end());
151
152	116	Trace("fmf-fun-def")
153	58	<< "FMF fun def: FUNCTION : rewrite " << assertions[i] << std::endl;
154	58	Trace("fmf-fun-def") << " to " << std::endl;
155	116	Node new_q = nm->mkNode(FORALL, bvl, bd);
156	58	new_q = rewrite(new_q);
157	58	assertionsToPreprocess->replace(i, new_q);
158	58	Trace("fmf-fun-def") << " " << assertions[i] << std::endl;
159	58	fd_assertions.push_back(i);
160		}
161		else
162		{
163		// can be, e.g. in corner cases forall x. f(x)=f(x), forall x.
164		// f(x)=f(x)+1
165		}
166		}
167		}
168		// second pass : rewrite assertions
169	146	std::map<int, std::map<Node, Node>> visited;
170	146	std::map<int, std::map<Node, Node>> visited_cons;
171	371	for (size_t i = 0, asize = assertions.size(); i < asize; i++)
172		{
173	596	bool is_fd = std::find(fd_assertions.begin(), fd_assertions.end(), i)
174	894	!= fd_assertions.end();
175	596	std::vector<Node> constraints;
176	596	Trace("fmf-fun-def-rewrite")
177	298	<< "Rewriting " << assertions[i]
178	298	<< ", is function definition = " << is_fd << std::endl;
179	298	Node n = simplifyFormula(assertions[i],
180		true,
181		true,
182		constraints,
183	596	is_fd ? subs_head[i] : Node::null(),
184		is_fd,
185		visited,
186	1192	visited_cons);
187	298	Assert(constraints.empty());
188	298	if (n != assertions[i])
189		{
190	58	n = rewrite(n);
191	116	Trace("fmf-fun-def-rewrite")
192	58	<< "FMF fun def : rewrite " << assertions[i] << std::endl;
193	58	Trace("fmf-fun-def-rewrite") << " to " << std::endl;
194	58	Trace("fmf-fun-def-rewrite") << " " << n << std::endl;
195	58	assertionsToPreprocess->replace(i, n);
196		}
197		}
198	73	}
199
200	969	Node FunDefFmf::simplifyFormula(
201		Node n,
202		bool pol,
203		bool hasPol,
204		std::vector<Node>& constraints,
205		Node hd,
206		bool is_fun_def,
207		std::map<int, std::map<Node, Node>>& visited,
208		std::map<int, std::map<Node, Node>>& visited_cons)
209		{
210	969	Assert(constraints.empty());
211	969	int index = (is_fun_def ? 1 : 0) + 2 * (hasPol ? (pol ? 1 : -1) : 0);
212	969	std::map<Node, Node>::iterator itv = visited[index].find(n);
213	969	if (itv != visited[index].end())
214		{
215		// constraints.insert( visited_cons[index]
216	101	std::map<Node, Node>::iterator itvc = visited_cons[index].find(n);
217	101	if (itvc != visited_cons[index].end())
218		{
219		constraints.push_back(itvc->second);
220		}
221	101	return itv->second;
222		}
223	868	NodeManager* nm = NodeManager::currentNM();
224	1736	Node ret;
225	1736	Trace("fmf-fun-def-debug2") << "Simplify " << n << " " << pol << " " << hasPol
226	868	<< " " << is_fun_def << std::endl;
227	868	if (n.getKind() == FORALL)
228		{
229		Node c = simplifyFormula(
230	144	n[1], pol, hasPol, constraints, hd, is_fun_def, visited, visited_cons);
231		// append prenex to constraints
232	72	for (unsigned i = 0; i < constraints.size(); i++)
233		{
234		constraints[i] = nm->mkNode(FORALL, n[0], constraints[i]);
235		constraints[i] = rewrite(constraints[i]);
236		}
237	72	if (c != n[1])
238		{
239	27	ret = nm->mkNode(FORALL, n[0], c);
240		}
241		else
242		{
243	45	ret = n;
244		}
245		}
246		else
247		{
248	1592	Node nn = n;
249	796	bool isBool = n.getType().isBoolean();
250	796	if (isBool && n.getKind() != APPLY_UF)
251		{
252	860	std::vector<Node> children;
253	430	bool childChanged = false;
254		// are we at a branch position (not all children are necessarily
255		// relevant)?
256		bool branch_pos =
257	430	(n.getKind() == ITE \|\| n.getKind() == OR \|\| n.getKind() == AND);
258	860	std::vector<Node> branch_constraints;
259	1086	for (unsigned i = 0; i < n.getNumChildren(); i++)
260		{
261	1312	Node c = n[i];
262		// do not process LHS of definition
263	656	if (!is_fun_def \|\| c != hd)
264		{
265		bool newHasPol;
266		bool newPol;
267	599	QuantPhaseReq::getPolarity(n, i, hasPol, pol, newHasPol, newPol);
268		// get child constraints
269	1198	std::vector<Node> cconstraints;
270	599	c = simplifyFormula(n[i],
271		newPol,
272		newHasPol,
273		cconstraints,
274		hd,
275		false,
276		visited,
277		visited_cons);
278	599	if (branch_pos)
279		{
280		// if at a branching position, the other constraints don't matter
281		// if this is satisfied
282	284	Node bcons = nm->mkAnd(cconstraints);
283	142	branch_constraints.push_back(bcons);
284	284	Trace("fmf-fun-def-debug2") << "Branching constraint at arg " << i
285	142	<< " is " << bcons << std::endl;
286		}
287	599	constraints.insert(
288	1198	constraints.end(), cconstraints.begin(), cconstraints.end());
289		}
290	656	children.push_back(c);
291	656	childChanged = c != n[i] \|\| childChanged;
292		}
293	430	if (childChanged)
294		{
295	11	nn = nm->mkNode(n.getKind(), children);
296		}
297	430	if (branch_pos && !constraints.empty())
298		{
299		// if we are at a branching position in the formula, we can
300		// minimize recursive constraints on recursively defined predicates if
301		// we know one child forces the overall evaluation of this formula.
302	32	Node branch_cond;
303	16	if (n.getKind() == ITE)
304		{
305		// always care about constraints on the head of the ITE, but only
306		// care about one of the children depending on how it evaluates
307		branch_cond = nm->mkNode(
308		AND,
309		branch_constraints[0],
310		nm->mkNode(
311		ITE, n[0], branch_constraints[1], branch_constraints[2]));
312		}
313		else
314		{
315		// in the default case, we care about all conditions
316	16	branch_cond = nm->mkAnd(constraints);
317	67	for (size_t i = 0, nchild = n.getNumChildren(); i < nchild; i++)
318		{
319		// if this child holds with forcing polarity (true child of OR or
320		// false child of AND), then we only care about its associated
321		// recursive conditions
322	204	branch_cond = nm->mkNode(ITE,
323	102	(n.getKind() == OR ? n[i] : n[i].negate()),
324	51	branch_constraints[i],
325		branch_cond);
326		}
327		}
328	32	Trace("fmf-fun-def-debug2")
329	16	<< "Made branching condition " << branch_cond << std::endl;
330	16	constraints.clear();
331	16	constraints.push_back(branch_cond);
332		}
333		}
334		else
335		{
336		// simplify term
337	732	std::map<Node, Node> visitedT;
338	366	getConstraints(n, constraints, visitedT);
339		}
340	796	if (!constraints.empty() && isBool && hasPol)
341		{
342		// conjoin with current
343	118	Node cons = nm->mkAnd(constraints);
344	59	if (pol)
345		{
346	51	ret = nm->mkNode(AND, nn, cons);
347		}
348		else
349		{
350	8	ret = nm->mkNode(OR, nn, cons.negate());
351		}
352	118	Trace("fmf-fun-def-debug2")
353	59	<< "Add constraint to obtain " << ret << std::endl;
354	59	constraints.clear();
355		}
356		else
357		{
358	737	ret = nn;
359		}
360		}
361	868	if (!constraints.empty())
362		{
363	136	Node cons;
364		// flatten to AND node for the purposes of caching
365	68	if (constraints.size() > 1)
366		{
367		cons = nm->mkNode(AND, constraints);
368		cons = rewrite(cons);
369		constraints.clear();
370		constraints.push_back(cons);
371		}
372		else
373		{
374	68	cons = constraints[0];
375		}
376	68	visited_cons[index][n] = cons;
377	68	Assert(constraints.size() == 1 && constraints[0] == cons);
378		}
379	868	visited[index][n] = ret;
380	868	return ret;
381		}
382
383	1779	void FunDefFmf::getConstraints(Node n,
384		std::vector<Node>& constraints,
385		std::map<Node, Node>& visited)
386		{
387	1779	std::map<Node, Node>::iterator itv = visited.find(n);
388	1779	if (itv != visited.end())
389		{
390		// already visited
391	242	if (!itv->second.isNull())
392		{
393		// add the cached constraint if it does not already occur
394	291	if (std::find(constraints.begin(), constraints.end(), itv->second)
395	291	== constraints.end())
396		{
397	97	constraints.push_back(itv->second);
398		}
399		}
400	242	return;
401		}
402	1537	visited[n] = Node::null();
403	3074	std::vector<Node> currConstraints;
404	1537	NodeManager* nm = NodeManager::currentNM();
405	1537	if (n.getKind() == ITE)
406		{
407		// collect constraints for the condition
408	41	getConstraints(n[0], currConstraints, visited);
409		// collect constraints for each branch
410	82	Node cs[2];
411	123	for (unsigned i = 0; i < 2; i++)
412		{
413	164	std::vector<Node> ccons;
414	82	getConstraints(n[i + 1], ccons, visited);
415	82	cs[i] = nm->mkAnd(ccons);
416		}
417	41	if (!cs[0].isConst() \|\| !cs[1].isConst())
418		{
419	28	Node itec = nm->mkNode(ITE, n[0], cs[0], cs[1]);
420	14	currConstraints.push_back(itec);
421	28	Trace("fmf-fun-def-debug")
422	14	<< "---> add constraint " << itec << " for " << n << std::endl;
423		}
424		}
425		else
426		{
427	1496	if (n.getKind() == APPLY_UF)
428		{
429		// check if f is defined, if so, we must enforce domain constraints for
430		// this f-application
431	344	Node f = n.getOperator();
432	172	std::map<Node, TypeNode>::iterator it = d_sorts.find(f);
433	172	if (it != d_sorts.end())
434		{
435		// create existential
436	122	Node z = nm->mkBoundVar("?z", it->second);
437	122	Node bvl = nm->mkNode(BOUND_VAR_LIST, z);
438	122	std::vector<Node> children;
439	154	for (unsigned j = 0, size = n.getNumChildren(); j < size; j++)
440		{
441	186	Node uz = nm->mkNode(APPLY_UF, d_input_arg_inj[f][j], z);
442	93	children.push_back(uz.eqNode(n[j]));
443		}
444	122	Node bd = nm->mkAnd(children);
445	61	bd = bd.negate();
446	122	Node ex = nm->mkNode(FORALL, bvl, bd);
447	61	ex = ex.negate();
448	61	currConstraints.push_back(ex);
449	122	Trace("fmf-fun-def-debug")
450	61	<< "---> add constraint " << ex << " for " << n << std::endl;
451		}
452		}
453	2689	for (const Node& cn : n)
454		{
455	1193	getConstraints(cn, currConstraints, visited);
456		}
457		}
458		// set the visited cache
459	1537	if (!currConstraints.empty())
460		{
461	194	Node finalc = nm->mkAnd(currConstraints);
462	97	visited[n] = finalc;
463		// add to constraints
464	97	getConstraints(n, constraints, visited);
465		}
466		}
467
468		} // namespace passes
469		} // namespace preprocessing
470	22746	} // namespace cvc5