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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Jip J. Dekker <jip.dekker@monash.edu>
*/
/* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#include <minizinc/ast.hh>
#include <minizinc/astiterator.hh>
#include <minizinc/chain_compressor.hh>
#include <minizinc/flatten_internal.hh>
namespace MiniZinc {
void ChainCompressor::removeItem(Item* i) {
if (auto* ci = i->dynamicCast<ConstraintI>()) {
_env.flatRemoveItem(ci);
} else if (auto* vdi = i->dynamicCast<VarDeclI>()) {
_env.flatRemoveItem(vdi);
} else {
assert(false); // CURRENTLY NOT SUPPORTED
}
i->remove();
}
int ChainCompressor::addItem(Item* i) {
_env.flatAddItem(i);
int item_idx = static_cast<int>(_env.flat()->size()) - 1;
trackItem(i);
return item_idx;
}
void ChainCompressor::updateCount() {
for (auto it = _items.begin(); it != _items.end();) {
if (it->second->removed()) {
it = _items.erase(it);
} else {
++it;
}
}
}
void ChainCompressor::replaceCallArgument(Item* i, Call* c, unsigned int n, Expression* e) {
CollectDecls cd(_env, _env.varOccurrences, _deletedVarDecls, i);
top_down(cd, c->arg(n));
c->arg(n, e);
CollectOccurrencesE ce(_env, _env.varOccurrences, i);
top_down(ce, e);
}
bool ImpCompressor::trackItem(Item* i) {
if (i->removed()) {
return false;
}
if (auto* ci = i->dynamicCast<ConstraintI>()) {
if (auto* c = Expression::dynamicCast<Call>(ci->e())) {
// clause([...], [...]); e.g. x -> y
if (c->id() == _env.constants.ids.clause) {
ArrayLit* negative = eval_array_lit(_env, c->arg(1));
for (unsigned int j = 0; j < negative->size(); ++j) {
auto* var = Expression::dynamicCast<Id>((*negative)[j]);
if (var != nullptr) {
storeItem(var->decl(), i);
}
}
return true;
}
if (c->id() == _env.constants.ids.mzn_reverse_map_var) {
auto* control = Expression::dynamicCast<VarDecl>(follow_id_to_decl(c->arg(0)));
if (control != nullptr) {
assert(control->type().isvarbool());
storeItem(control, i);
}
return true;
// pred_imp(..., b); i.e. b -> pred(...)
}
if (c->id().endsWith("_imp")) {
auto* control =
Expression::dynamicCast<VarDecl>(follow_id_to_decl(c->arg(c->argCount() - 1)));
if (control != nullptr) {
assert(control->type().isvarbool());
storeItem(control, i);
}
return true;
}
}
} else if (auto* vdi = i->dynamicCast<VarDeclI>()) {
if (vdi->e()->type().isvarbool() && (vdi->e() != nullptr) && (vdi->e()->e() != nullptr)) {
if (auto* c = Expression::dynamicCast<Call>(vdi->e()->e())) {
// x = forall([y,z,...]); potentially: x -> (y /\ z /\ ...)
if (c->id() == _env.constants.ids.forall) {
storeItem(vdi->e(), i);
return true;
// x ::ctx_pos = pred(...); potentially: pred_imp(..., x); i.e. x -> pred(...)
}
if (_env.fopts.enableHalfReification &&
Expression::ann(vdi->e()).contains(_env.constants.ctx.pos)) {
if (c->id() == _env.constants.ids.exists) {
storeItem(vdi->e(), i);
} else {
GCLock lock;
std::vector<Type> args;
args.reserve(c->argCount() + 1);
for (unsigned int j = 0; j < c->argCount(); ++j) {
args.push_back(Expression::type(c->arg(j)));
}
args.push_back(Type::varbool());
FunctionI* decl = _env.model->matchReification(_env, c->id(), args, true, false);
if (decl != nullptr && decl->id() == EnvI::halfReifyId(c->id())) {
storeItem(vdi->e(), i);
return true;
}
}
}
}
}
}
return false;
}
void ImpCompressor::compress() {
for (auto it = _items.begin(); it != _items.end();) {
VarDecl* lhs = nullptr;
VarDecl* rhs = nullptr;
// Check if compression is possible
if (auto* ci = it->second->dynamicCast<ConstraintI>()) {
auto* c = Expression::cast<Call>(ci->e());
if (c->id() == _env.constants.ids.clause) {
auto* positive = eval_array_lit(_env, c->arg(0));
auto* negative = eval_array_lit(_env, c->arg(1));
if (positive->size() == 1 && negative->size() == 1) {
auto* var = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*positive)[0]));
if (var != nullptr) {
bool output_var = Expression::ann(var).contains(_env.constants.ann.output_var);
auto usages = _env.varOccurrences.usages(var);
output_var = output_var || usages.second;
int occurrences = usages.first;
unsigned long lhs_occurences = count(var);
bool is_fixed = var->ti()->domain() != nullptr;
#ifndef NDEBUG
if (is_fixed) {
std::cerr << "ERROR: We expect propagation to have taken care of all fixed variables "
"before chain propagation. This can be ignored in release builds, but "
"should be investigated by the MiniZinc Team";
assert(!is_fixed);
}
#endif
// Compress if:
// - There is one occurrence on the RHS of a clause and the others are on the LHS of a
// clause
// - There is one occurrence on the RHS of a clause, that Id is a reified forall that
// has no other occurrences
// - There is one occurrence on the RHS of a clause, that Id is a reification in a
// positive context, and all other occurrences are on the LHS of a clause
bool compress = !is_fixed && !output_var && lhs_occurences > 0;
if ((var->e() != nullptr) && Expression::isa<Call>(var->e())) {
auto* call = Expression::cast<Call>(var->e());
if (call->id() == _env.constants.ids.forall) {
compress = compress && (occurrences == 1 && lhs_occurences == 1);
} else {
compress = compress && (occurrences == lhs_occurences);
}
} else {
compress = compress && (occurrences == lhs_occurences + 1);
}
if (compress) {
rhs = var;
lhs = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*negative)[0]));
if (lhs == rhs) {
continue;
}
}
// TODO: Detect equivalences for output variables.
}
}
}
}
if ((lhs != nullptr) && (rhs != nullptr)) {
assert(count(rhs) > 0);
auto range = find(rhs);
std::vector<Item*> to_process;
for (auto match = range.first; match != range.second; ++match) {
to_process.push_back(match->second);
}
_items.erase(range.first, range.second);
for (auto* item : to_process) {
bool success = compressItem(item, rhs, lhs);
assert(success);
_env.counters.impDel++;
}
assert(!Expression::ann(rhs).contains(_env.constants.ann.output_var));
removeItem(it->second);
it = _items.erase(it);
} else {
++it;
}
}
}
bool ImpCompressor::compressItem(Item* i, VarDecl* oldLHS, VarDecl* newLHS) {
GCLock lock;
if (auto* ci = i->dynamicCast<ConstraintI>()) {
auto* c = Expression::cast<Call>(ci->e());
// Given (x -> y) /\ (y -> z), produce x -> z
if (c->id() == _env.constants.ids.clause) {
// Get clause array literals to be changed
auto* positive = eval_array_lit(_env, c->arg(0));
auto* negative = eval_array_lit(_env, c->arg(1));
// Avoid creating a -> a (constraint can just be removed)
if (positive->size() == 1 && negative->size() == 1) {
auto* positiveDecl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*positive)[0]));
if (positiveDecl == newLHS) {
removeItem(i);
return true;
}
}
// Create new negative array
std::vector<Expression*> contents = std::vector<Expression*>(negative->size());
for (unsigned int i = 0; i < negative->size(); ++i) {
auto* vd = Expression::cast<VarDecl>(follow_id_to_decl((*negative)[i]));
if (vd == oldLHS) {
contents[i] = newLHS->id();
} else {
contents[i] = vd->id();
// Remove ci from multimap for other negative variables
auto range = find(vd);
for (auto it = range.first; it != range.second; ++it) {
if (it->second == ci) {
_items.erase(it);
break;
}
}
}
}
negative = new ArrayLit(Expression::loc(negative).introduce(), contents);
negative->type(Type::varbool(1));
negative = arrayLitCopyReplace(negative, oldLHS, newLHS);
auto* nci = constructClause(positive, negative);
_boolConstraints.push_back(addItem(nci));
removeItem(i);
return true;
}
if (c->id() == _env.constants.ids.mzn_reverse_map_var) {
return true;
}
// Given (x -> y) /\ (y -> pred(...)), produce x -> pred(...)
if (c->id().endsWith("_imp")) {
replaceCallArgument(i, c, c->argCount() - 1, newLHS->id());
trackItem(i);
return true;
}
} else if (auto* vdi = i->dynamicCast<VarDeclI>()) {
auto* c = Expression::cast<Call>(vdi->e()->e());
// Given: (x -> y) /\ (y -> (a /\ b /\ ...)), produce (x -> a) /\ (x -> b) /\ ...
if (c->id() == _env.constants.ids.forall) {
auto* exprs = eval_array_lit(_env, c->arg(0));
for (unsigned int j = 0; j < exprs->size(); ++j) {
auto* rhsDecl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*exprs)[j]));
if (rhsDecl != newLHS) {
ConstraintI* nci = constructClause((*exprs)[j], newLHS->id());
_boolConstraints.push_back(addItem(nci));
}
}
return true;
// x ::ctx_pos = pred(...); potentially: pred_imp(..., x); i.e. x -> pred(...)
}
if (Expression::ann(vdi->e()).contains(_env.constants.ctx.pos)) {
if (c->id() == _env.constants.ids.exists) {
auto* positive = eval_array_lit(_env, c->arg(0));
auto* positiveDecl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*positive)[0]));
if (positiveDecl != newLHS) {
ConstraintI* nci = constructClause(positive, newLHS->id());
_boolConstraints.push_back(addItem(nci));
}
removeItem(i);
return true;
}
ConstraintI* nci = constructHalfReif(c, newLHS->id());
assert(nci);
addItem(nci);
return true;
}
}
return false;
}
ArrayLit* ImpCompressor::arrayLitCopyReplace(ArrayLit* arr, VarDecl* oldVar, VarDecl* newVar) {
assert(GC::locked());
std::vector<Expression*> contents = std::vector<Expression*>(arr->size());
for (unsigned int i = 0; i < arr->size(); ++i) {
auto* vd = Expression::cast<VarDecl>(follow_id_to_decl((*arr)[i]));
if (vd == oldVar) {
contents[i] = newVar->id();
} else {
contents[i] = vd->id();
}
}
auto* ret = new ArrayLit(Expression::loc(arr).introduce(), contents);
ret->type(arr->type());
return ret;
}
ConstraintI* ImpCompressor::constructClause(Expression* pos, Expression* neg) {
assert(GC::locked());
std::vector<Expression*> args(2);
if (Expression::dynamicCast<ArrayLit>(pos) != nullptr) {
args[0] = pos;
} else {
assert(Expression::type(neg).isbool());
std::vector<Expression*> eVec(1);
eVec[0] = pos;
args[0] = new ArrayLit(Expression::loc(pos).introduce(), eVec);
Expression::type(args[0], Type::varbool(1));
}
if (Expression::dynamicCast<ArrayLit>(neg) != nullptr) {
args[1] = neg;
} else {
assert(Expression::type(neg).isbool());
std::vector<Expression*> eVec(1);
eVec[0] = neg;
args[1] = new ArrayLit(Expression::loc(neg).introduce(), eVec);
Expression::type(args[1], Type::varbool(1));
}
// NEVER CREATE (a -> a)
assert(Expression::cast<ArrayLit>(args[0])->size() != 1 ||
Expression::cast<ArrayLit>(args[1])->size() != 1 ||
!Expression::isa<Id>((*Expression::cast<ArrayLit>(args[0]))[0]) ||
!Expression::isa<Id>((*Expression::cast<ArrayLit>(args[1]))[0]) ||
Expression::cast<Id>((*Expression::cast<ArrayLit>(args[0]))[0])->decl() !=
Expression::cast<Id>((*Expression::cast<ArrayLit>(args[1]))[0])->decl());
auto* nc = Call::a(MiniZinc::Location().introduce(), _env.constants.ids.clause, args);
nc->type(Type::varbool());
nc->decl(_env.model->matchFn(_env, nc, false));
assert(nc->decl());
return new ConstraintI(MiniZinc::Location().introduce(), nc);
}
ConstraintI* ImpCompressor::constructHalfReif(Call* call, Id* control) {
assert(_env.fopts.enableHalfReification);
assert(GC::locked());
auto cid = EnvI::halfReifyId(call->id());
std::vector<Expression*> args(call->argCount());
for (unsigned int i = 0; i < call->argCount(); ++i) {
args[i] = call->arg(i);
}
args.push_back(control);
FunctionI* decl = _env.model->matchFn(_env, cid, args, false);
if (decl != nullptr) {
auto* nc = Call::a(Expression::loc(call).introduce(), cid, args);
nc->decl(decl);
nc->type(Type::varbool());
return new ConstraintI(Expression::loc(call).introduce(), nc);
}
return nullptr;
}
bool LECompressor::trackItem(Item* i) {
if (i->removed()) {
return false;
}
bool added = false;
if (auto* ci = i->dynamicCast<ConstraintI>()) {
if (auto* call = Expression::dynamicCast<Call>(ci->e())) {
// {int,float}_lin_le([c1,c2,...], [x, y,...], 0);
if (call->id() == _env.constants.ids.int_.lin_le ||
call->id() == _env.constants.ids.float_.lin_le) {
ArrayLit* as = eval_array_lit(_env, call->arg(0));
ArrayLit* bs = eval_array_lit(_env, call->arg(1));
assert(as->size() == bs->size());
for (unsigned int j = 0; j < as->size(); ++j) {
if (as->type().isIntArray()) {
if (eval_int(_env, (*as)[j]) > IntVal(0)) {
// Check if left hand side is a variable (could be constant)
if (auto* decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*bs)[j]))) {
storeItem(decl, i);
added = true;
}
}
} else {
if (eval_float(_env, (*as)[j]) > FloatVal(0)) {
// Check if left hand side is a variable (could be constant)
if (auto* decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*bs)[j]))) {
storeItem(decl, i);
added = true;
}
}
}
}
}
assert(call->id() != _env.constants.ids.int2float);
}
} else if (auto* vdi = i->dynamicCast<VarDeclI>()) {
assert(vdi->e());
if (Expression* vde = vdi->e()->e()) {
if (auto* call = Expression::dynamicCast<Call>(vde)) {
if (call->id() == _env.constants.ids.int2float) {
if (auto* vd = Expression::dynamicCast<VarDecl>(follow_id_to_decl(call->arg(0)))) {
auto* alias = Expression::dynamicCast<VarDecl>(follow_id_to_decl(vdi->e()));
if (alias != nullptr) {
_aliasMap[vd] = alias;
}
}
}
}
}
}
return added;
}
void LECompressor::compress() {
for (auto it = _items.begin(); it != _items.end();) {
VarDecl* lhs = nullptr;
VarDecl* rhs = nullptr;
VarDecl* alias = nullptr;
// Check if compression is possible
if (auto* ci = it->second->dynamicCast<ConstraintI>()) {
auto* call = Expression::cast<Call>(ci->e());
if (call->id() == _env.constants.ids.int_.lin_le) {
ArrayLit* as = eval_array_lit(_env, call->arg(0));
ArrayLit* bs = eval_array_lit(_env, call->arg(1));
IntVal c = eval_int(_env, call->arg(2));
if (bs->size() == 2 && c == IntVal(0)) {
IntVal a0 = eval_int(_env, (*as)[0]);
IntVal a1 = eval_int(_env, (*as)[1]);
if (a0 == -a1 && eqBounds((*bs)[0], (*bs)[1])) {
int i = a0 < a1 ? 0 : 1;
if (!Expression::isa<Id>((*bs)[i])) {
break;
}
auto* neg = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*bs)[i]));
if (neg == nullptr) {
continue;
}
bool output_var = Expression::ann(neg).contains(_env.constants.ann.output_var);
auto usages = _env.varOccurrences.usages(neg);
int occurrences = usages.first;
output_var = output_var || usages.second;
unsigned long lhs_occurences = count(neg);
bool compress = !output_var;
auto search = _aliasMap.find(neg);
if (search != _aliasMap.end()) {
alias = search->second;
auto alias_usages = _env.varOccurrences.usages(alias);
int alias_occ = alias_usages.first;
compress = compress && (!alias_usages.second);
unsigned long alias_lhs_occ = count(alias);
// neg is only allowed to occur:
// - once in the "implication"
// - once in the aliasing
// - on a lhs of other expressions
// alias is only allowed to occur on a lhs of an expression.
compress = compress && (lhs_occurences + alias_lhs_occ > 0) &&
(occurrences == lhs_occurences + 2) && (alias_occ == alias_lhs_occ);
} else {
// neg is only allowed to occur:
// - once in the "implication"
// - on a lhs of other expressions
compress = compress && (lhs_occurences > 0) && (occurrences == lhs_occurences + 1);
}
auto* pos = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*bs)[1 - i]));
if ((pos != nullptr) && compress) {
rhs = neg;
lhs = pos;
assert(lhs != rhs);
}
// TODO: Detect equivalences for output variables.
}
}
}
}
if ((lhs != nullptr) && (rhs != nullptr)) {
assert(count(rhs) + count(alias) > 0);
auto range = find(rhs);
{
std::vector<Item*> to_process;
for (auto match = range.first; match != range.second; ++match) {
to_process.push_back(match->second);
}
_items.erase(range.first, range.second);
for (auto* item : to_process) {
leReplaceVar<IntLit>(item, rhs, lhs);
}
}
if (alias != nullptr) {
VarDecl* i2f_lhs;
auto search = _aliasMap.find(lhs);
if (search != _aliasMap.end()) {
i2f_lhs = search->second;
} else {
// Create new int2float
Call* i2f =
Call::a(Expression::loc(lhs).introduce(), _env.constants.ids.int2float, {lhs->id()});
i2f->decl(_env.model->matchFn(_env, i2f, false));
assert(i2f->decl());
i2f->type(Type::varfloat());
auto* domain = new SetLit(Expression::loc(lhs).introduce(),
eval_floatset(_env, lhs->ti()->domain()));
auto* i2f_ti = new TypeInst(Expression::loc(lhs).introduce(), Type::varfloat(), domain);
i2f_lhs = new VarDecl(Expression::loc(lhs).introduce(), i2f_ti, _env.genId(), i2f);
i2f_lhs->type(Type::varfloat());
addItem(VarDeclI::a(Expression::loc(lhs).introduce(), i2f_lhs));
}
auto arange = find(alias);
{
std::vector<Item*> to_process;
for (auto match = arange.first; match != arange.second; ++match) {
to_process.push_back(match->second);
}
_items.erase(arange.first, arange.second);
for (auto* item : to_process) {
leReplaceVar<FloatLit>(item, alias, i2f_lhs);
}
}
}
assert(!Expression::ann(rhs).contains(_env.constants.ann.output_var));
removeItem(it->second);
_env.counters.linDel++;
it = _items.erase(it);
} else {
++it;
}
}
}
template <class Lit>
void LECompressor::leReplaceVar(Item* i, VarDecl* oldVar, VarDecl* newVar) {
typedef typename LinearTraits<Lit>::Val Val;
GCLock lock;
auto* ci = i->cast<ConstraintI>();
auto* call = Expression::cast<Call>(ci->e());
assert(call->id() == _env.constants.ids.int_.lin_le ||
call->id() == _env.constants.ids.float_.lin_le);
// Remove old occurrences
CollectDecls cd(_env, _env.varOccurrences, _deletedVarDecls, i);
top_down(cd, ci->e());
ArrayLit* al_c = eval_array_lit(_env, call->arg(0));
std::vector<Val> coeffs(al_c->size());
for (unsigned int j = 0; j < al_c->size(); j++) {
coeffs[j] = LinearTraits<Lit>::eval(_env, (*al_c)[j]);
}
ArrayLit* al_x = eval_array_lit(_env, call->arg(1));
std::vector<KeepAlive> x(al_x->size());
for (unsigned int j = 0; j < al_x->size(); j++) {
Expression* decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl((*al_x)[j]));
if (decl && decl == oldVar) {
x[j] = newVar->id();
} else {
x[j] = (*al_x)[j];
}
}
Val d = LinearTraits<Lit>::eval(_env, call->arg(2));
simplify_lin<Lit>(coeffs, x, d);
if (coeffs.empty()) {
i->remove();
_env.counters.linDel++;
return;
}
std::vector<Expression*> coeffs_e(coeffs.size());
std::vector<Expression*> x_e(coeffs.size());
for (unsigned int j = 0; j < coeffs.size(); j++) {
coeffs_e[j] = Lit::a(coeffs[j]);
x_e[j] = x[j]();
Expression* decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl(x_e[j]));
if (decl && Expression::cast<VarDecl>(decl) == newVar) {
storeItem(newVar, i);
}
}
auto* al_c_new = new ArrayLit(Expression::loc(al_c).introduce(), coeffs_e);
al_c_new->type(al_c->type());
call->arg(0, al_c_new);
auto* al_x_new = new ArrayLit(Expression::loc(al_x).introduce(), x_e);
al_x_new->type(al_x->type());
call->arg(1, al_x_new);
call->arg(2, Lit::a(d));
// Add new occurences
CollectOccurrencesE ce(_env, _env.varOccurrences, i);
top_down(ce, ci->e());
}
bool LECompressor::eqBounds(Expression* a, Expression* b) {
// TODO: (To optimise) Check lb(lhs) >= lb(rhs) and enforce ub(lhs) <= ub(rhs)
IntSetVal* dom_a = nullptr;
IntSetVal* dom_b = nullptr;
if (auto* a_decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl(a))) {
if (a_decl->ti()->domain() != nullptr) {
dom_a = eval_intset(_env, a_decl->ti()->domain());
}
} else {
IntVal a_val = eval_int(_env, a);
dom_a = IntSetVal::a(a_val, a_val);
}
if (auto* b_decl = Expression::dynamicCast<VarDecl>(follow_id_to_decl(b))) {
if (b_decl->ti()->domain() != nullptr) {
dom_b = eval_intset(_env, b_decl->ti()->domain());
}
} else {
IntVal b_val = eval_int(_env, b);
dom_b = IntSetVal::a(b_val, b_val);
}
return (dom_a != nullptr && dom_b != nullptr && !dom_a->empty() && !dom_b->empty() &&
dom_a->min() == dom_b->min() && dom_a->max() == dom_b->max()) ||
(dom_a == nullptr && dom_b == nullptr);
}
} // namespace MiniZinc
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