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https://github.com/Z3Prover/z3
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elaborate on dom simplifier
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
6969e6024b
commit
4452ff9884
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@ -7,6 +7,7 @@ z3_add_component(core_tactics
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ctx_simplify_tactic.cpp
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der_tactic.cpp
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distribute_forall_tactic.cpp
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dom_simplify_tactic.cpp
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elim_term_ite_tactic.cpp
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elim_uncnstr_tactic.cpp
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injectivity_tactic.cpp
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@ -17,210 +17,165 @@ Notes:
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--*/
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#if 0
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#include "ast/ast.h"
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#include "ast/ast_util.h"
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#include "ast/ast_pp.h"
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#include "tactic/core/dom_simplify_tactic.h"
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class expr_dominators {
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public:
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typedef obj_map<expr, ptr_vector<expr>> tree_t;
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private:
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ast_manager& m;
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expr_ref m_root;
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obj_map<unsigned> m_expr2post; // reverse post-order number
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ptr_vector<expr> m_post2expr;
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tree_t m_parents;
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obj_map<expr, expr*> m_doms;
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tree_t m_tree;
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void add_edge(tree_t& tree, expr * src, expr* dst) {
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tree.insert_if_not_there(src, ptr_vector<expr>()).push_back(dst);
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}
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/**
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\brief compute a post-order traversal for e.
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Also populate the set of parents
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*/
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void compute_post_order() {
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unsigned post_num = 0;
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SASSERT(m_post2expr.empty());
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SASSERT(m_expr2post.empty());
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ast_mark mark;
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ptr_vector<expr> todo;
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todo.push_back(m_root);
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while (!todo.empty()) {
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expr* e = todo.back();
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if (is_marked(e)) {
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todo.pop_back();
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continue;
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/**
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\brief compute a post-order traversal for e.
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Also populate the set of parents
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*/
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void expr_dominators::compute_post_order() {
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unsigned post_num = 0;
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SASSERT(m_post2expr.empty());
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SASSERT(m_expr2post.empty());
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ast_mark mark;
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ptr_vector<expr> todo;
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todo.push_back(m_root);
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while (!todo.empty()) {
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expr* e = todo.back();
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if (mark.is_marked(e)) {
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todo.pop_back();
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continue;
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}
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if (is_app(e)) {
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app* a = to_app(e);
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bool done = true;
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for (expr* arg : *a) {
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if (!mark.is_marked(arg)) {
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todo.push_back(arg);
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done = false;
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}
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}
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if (is_app(e)) {
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app* a = to_app(e);
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bool done = true;
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if (done) {
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mark.mark(e, true);
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m_expr2post.insert(e, post_num++);
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m_post2expr.push_back(e);
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todo.pop_back();
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for (expr* arg : *a) {
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if (!is_marked(arg)) {
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todo.push_back(arg);
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done = false;
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}
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}
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if (done) {
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mark.mark(e);
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m_expr2post.insert(e, post_num++);
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m_post2expr.push_back(e);
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todo.pop_back();
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for (expr* arg : *a) {
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add_edge(m_parents, arg, a);
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}
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}
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}
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else {
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todo.pop_back();
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}
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}
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}
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expr* intersect(expr* x, expr * y) {
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unsigned n1 = m_expr2post[x];
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unsigned n2 = m_expr2post[y];
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while (n1 != n2) {
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if (n1 < n2) {
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x = m_doms[x];
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n1 = m_expr2post[x];
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}
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else if (n1 > n2) {
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y = m_doms[y];
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n2 = m_expr2post[y];
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}
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}
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SASSERT(x == y);
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return x;
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}
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void compute_dominators() {
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expr * e = m_root;
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SASSERT(m_doms.empty());
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m_doms.insert(e, e);
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bool change = true;
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while (change) {
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change = false;
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SASSERT(m_post2expr.back() == e);
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for (unsigned i = 0; i < m_post2expr.size() - 1; ++i) {
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expr * child = m_post2expr[i];
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ptr_vector<expr> const& p = m_parents[child];
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SASSERT(!p.empty());
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expr * new_idom = p[0], * idom2 = 0;
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for (unsigned j = 1; j < p.size(); ++j) {
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if (m_doms.find(p[j], idom2)) {
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new_idom = intersect(new_idom, idom2);
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}
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}
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if (!m_doms.find(child, idom2) || idom2 != new_idom) {
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m_doms.insert(child, new_idom);
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change = true;
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add_edge(m_parents, arg, a);
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}
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}
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}
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}
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void extract_tree() {
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for (auto const& kv : m_doms) {
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add_edge(m_tree, kv.m_value, kv.m_key);
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else {
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mark.mark(e, true);
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todo.pop_back();
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}
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}
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void reset() {
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m_expr2post.reset();
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m_post2expr.reset();
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m_parents.reset();
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m_doms.reset();
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m_tree.reset();
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m_root.reset();
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}
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}
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public:
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expr_dominators(ast_manager& m): m(m), m_root(m) {}
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void compile(expr * e) {
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reset();
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m_root = e;
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compute_post_order();
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compute_dominators();
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extract_tree();
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expr* expr_dominators::intersect(expr* x, expr * y) {
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unsigned n1 = m_expr2post[x];
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unsigned n2 = m_expr2post[y];
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while (n1 != n2) {
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if (n1 < n2) {
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x = m_doms[x];
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n1 = m_expr2post[x];
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}
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else if (n1 > n2) {
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y = m_doms[y];
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n2 = m_expr2post[y];
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}
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}
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SASSERT(x == y);
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return x;
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}
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void compile(unsigned sz, expr * const* es) {
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expr_ref e(m.mk_and(sz, es), m);
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compile(e);
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void expr_dominators::compute_dominators() {
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expr * e = m_root;
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SASSERT(m_doms.empty());
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m_doms.insert(e, e);
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bool change = true;
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while (change) {
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change = false;
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SASSERT(m_post2expr.back() == e);
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for (unsigned i = 0; i < m_post2expr.size() - 1; ++i) {
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expr * child = m_post2expr[i];
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ptr_vector<expr> const& p = m_parents[child];
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SASSERT(!p.empty());
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expr * new_idom = p[0], * idom2 = 0;
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for (unsigned j = 1; j < p.size(); ++j) {
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if (m_doms.find(p[j], idom2)) {
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new_idom = intersect(new_idom, idom2);
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}
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}
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if (!m_doms.find(child, idom2) || idom2 != new_idom) {
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m_doms.insert(child, new_idom);
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change = true;
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}
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}
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}
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}
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void expr_dominators::extract_tree() {
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for (auto const& kv : m_doms) {
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add_edge(m_tree, kv.m_value, kv.m_key);
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}
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}
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void expr_dominators::compile(expr * e) {
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reset();
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m_root = e;
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compute_post_order();
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compute_dominators();
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extract_tree();
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}
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void expr_dominators::compile(unsigned sz, expr * const* es) {
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expr_ref e(m.mk_and(sz, es), m);
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compile(e);
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}
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void expr_dominators::reset() {
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m_expr2post.reset();
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m_post2expr.reset();
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m_parents.reset();
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m_doms.reset();
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m_tree.reset();
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m_root.reset();
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}
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tree_t const& get_tree() { return m_tree; }
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};
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// goes to header file:
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class dom_simplify_tactic : public tactic {
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public:
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class simplifier {
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public:
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virtual ~simplifier() {}
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/**
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\brief assert_expr performs an implicit push
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*/
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virtual bool assert_expr(expr * t, bool sign) = 0;
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/**
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\brief apply simplification.
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*/
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virtual void operator()(expr_ref& r) = 0;
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/**
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\brief pop scopes accumulated from assertions.
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*/
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virtual void pop(unsigned num_scopes) = 0;
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};
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private:
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simplifier& m_simplifier;
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params_ref m_params;
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expr_ref_vector m_trail;
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obj_map<expr, expr*> m_result;
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expr_dominators m_dominators;
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expr_ref simplify(expr* t);
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expr_ref simplify_ite(app * ite);
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expr_ref simplify_and(app * ite) { return simplify_and_or(true, ite); }
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expr_ref simplify_or(app * ite) { return simplify_and_or(false, ite); }
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expr_ref simplify_and_or(bool is_and app * ite);
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expr_ref get_cache(expr* t) { if (!m_result.find(r, r)) r = t; return expr_ref(r, m); }
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void cache(expr *t, expr* r) { m_result.insert(t, r); m_trail.push_back(r); }
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void simplify_goal(goal_ref& g);
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public:
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dom_simplify_tactic(ast_manager & m, simplifier& s, params_ref const & p = params_ref());
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virtual tactic * translate(ast_manager & m);
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virtual ~dom_simplify_tactic();
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virtual void updt_params(params_ref const & p);
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static void get_param_descrs(param_descrs & r);
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virtual void collect_param_descrs(param_descrs & r) { get_param_descrs(r); }
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virtual void operator()(goal_ref const & in,
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goal_ref_buffer & result,
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model_converter_ref & mc,
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proof_converter_ref & pc,
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expr_dependency_ref & core);
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virtual void cleanup();
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};
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// implementation:
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expr_ref dom_simplifier_tactic::simplify_ite(app * ite) {
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tactic * dom_simplify_tactic::translate(ast_manager & m) {
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return alloc(dom_simplify_tactic, m, m_simplifier->translate(m), m_params);
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}
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void dom_simplify_tactic::operator()(
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goal_ref const & in,
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goal_ref_buffer & result,
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model_converter_ref & mc,
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proof_converter_ref & pc,
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expr_dependency_ref & core) {
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mc = 0; pc = 0; core = 0;
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tactic_report report("dom-simplify", *in.get());
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simplify_goal(*(in.get()));
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in->inc_depth();
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result.push_back(in.get());
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}
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void dom_simplify_tactic::cleanup() {
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m_trail.reset();
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m_args.reset();
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m_args2.reset();
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m_result.reset();
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m_dominators.reset();
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}
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expr_ref dom_simplify_tactic::simplify_ite(app * ite) {
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expr_ref r(m);
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expr * c = 0, * t = 0, * e = 0;
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VERIFY(m.is_ite(ite, c, t, e));
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@ -233,7 +188,7 @@ expr_ref dom_simplifier_tactic::simplify_ite(app * ite) {
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r = simplify(e);
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}
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else {
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expr_ref t = simplify(t);
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expr_ref new_t = simplify(t);
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pop(scope_level() - old_lvl);
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if (!assert_expr(new_c, true)) {
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return new_t;
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@ -254,14 +209,18 @@ expr_ref dom_simplifier_tactic::simplify_ite(app * ite) {
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return r;
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}
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expr_ref dom_simplifier_tactic::simplify(expr * e0) {
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expr_ref dom_simplify_tactic::simplify(expr * e0) {
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expr_ref r(m);
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expr* e = 0;
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if (!m_result.find(e0, e)) {
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e = e0;
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}
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if (m.is_ite(e)) {
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++m_depth;
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if (m_depth > m_max_depth) {
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r = e;
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}
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else if (m.is_ite(e)) {
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r = simplify_ite(to_app(e));
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}
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else if (m.is_and(e)) {
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@ -271,7 +230,7 @@ expr_ref dom_simplifier_tactic::simplify(expr * e0) {
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r = simplify_or(to_app(e));
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}
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else {
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tree_t const& t = m_dominators.get_tree();
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expr_dominators::tree_t const& t = m_dominators.get_tree();
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if (t.contains(e)) {
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ptr_vector<expr> const& children = t[e];
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for (expr * child : children) {
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@ -281,7 +240,7 @@ expr_ref dom_simplifier_tactic::simplify(expr * e0) {
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if (is_app(e)) {
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m_args.reset();
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for (expr* arg : *to_app(e)) {
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m_args.push_back(get_cached(arg));
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m_args.push_back(get_cached(arg)); // TBD is cache really applied to all sub-terms?
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}
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r = m.mk_app(to_app(e)->get_decl(), m_args.size(), m_args.c_ptr());
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}
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@ -289,18 +248,20 @@ expr_ref dom_simplifier_tactic::simplify(expr * e0) {
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r = e;
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}
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}
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m_simplifier(r);
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(*m_simplifier)(r);
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cache(e0, r);
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TRACE("simplify", tout << "depth: " << m_depth << " " << mk_pp(e0, m) << " -> " << r << "\n";);
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--m_depth;
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return r;
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}
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expr_ref dom_simplifier_tactic::simplify_or_and(bool is_and, app * e) {
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expr_ref dom_simplify_tactic::simplify_and_or(bool is_and, app * e) {
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expr_ref r(m);
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unsigned old_lvl = scope_level();
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m_args.reset();
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for (expr * arg : *e) {
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r = simplify(arg);
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if (!assert_expr(r, is_and)) {
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if (!assert_expr(r, !is_and)) {
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r = is_and ? m.mk_false() : m.mk_true();
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}
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m_args.push_back(r);
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@ -310,7 +271,7 @@ expr_ref dom_simplifier_tactic::simplify_or_and(bool is_and, app * e) {
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m_args2.reset();
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for (expr * arg : m_args) {
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r = simplify(arg);
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if (!assert_expr(r, is_and)) {
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if (!assert_expr(r, !is_and)) {
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r = is_and ? m.mk_false() : m.mk_true();
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}
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m_args2.push_back(r);
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@ -321,31 +282,61 @@ expr_ref dom_simplifier_tactic::simplify_or_and(bool is_and, app * e) {
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return r;
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}
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void dom_simplifier_tactic::simplify_goal(goal& g) {
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void dom_simplify_tactic::init(goal& g) {
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expr_ref_vector args(m);
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expr_ref fml(m);
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unsigned sz = g.size();
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for (unsigned i = 0; i < sz; ++i) args.push_back(g.form(i));
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fml = mk_and(args);
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expr_ref tmp(fml);
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// TBD: deal with dependencies.
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do {
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m_result.reset();
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m_trail.reset();
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m_dominators.compile(fml);
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#if 0
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for (unsigned i = 0; i < sz; ++i) {
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r = simplify(g.form(i));
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// TBD: simplfy goal as a conjuction ?
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//
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expr_ref fml = mk_and(args);
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m_result.reset();
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m_trail.reset();
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m_dominators.compile(fml);
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}
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void dom_simplify_tactic::simplify_goal(goal& g) {
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SASSERT(scope_level() == 0);
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bool change = true;
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m_depth = 0;
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while (change) {
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change = false;
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// go forwards
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init(g);
|
||||
unsigned sz = g.size();
|
||||
for (unsigned i = 0; !g.inconsistent() && i < sz; ++i) {
|
||||
expr_ref r = simplify(g.form(i));
|
||||
if (i < sz - 1 && !m.is_true(r) && !m.is_false(r) && !g.dep(i) && !g.proofs_enabled() && !assert_expr(r, false)) {
|
||||
r = m.mk_false();
|
||||
}
|
||||
change |= r != g.form(i);
|
||||
proof* new_pr = 0;
|
||||
if (g.proofs_enabled()) {
|
||||
new_pr = m.mk_modus_ponens(g.pr(i), m.mk_rewrite_star(g.form(i), r, 0, 0));
|
||||
}
|
||||
g.update(i, r, new_pr, g.dep(i));
|
||||
}
|
||||
#endif
|
||||
tmp = fml;
|
||||
fml = simplify(fml);
|
||||
pop(scope_level());
|
||||
|
||||
// go backwards
|
||||
init(g);
|
||||
sz = g.size();
|
||||
for (unsigned i = sz; !g.inconsistent() && i > 0; ) {
|
||||
--i;
|
||||
expr_ref r = simplify(g.form(i));
|
||||
if (i > 0 && !m.is_true(r) && !m.is_false(r) && !g.dep(i) && !g.proofs_enabled() && !assert_expr(r, false)) {
|
||||
r = m.mk_false();
|
||||
}
|
||||
change |= r != g.form(i);
|
||||
proof* new_pr = 0;
|
||||
if (g.proofs_enabled()) {
|
||||
new_pr = m.mk_modus_ponens(g.pr(i), m.mk_rewrite_star(g.form(i), r, 0, 0));
|
||||
}
|
||||
g.update(i, r, new_pr, g.dep(i));
|
||||
}
|
||||
pop(scope_level());
|
||||
}
|
||||
while (tmp != fml);
|
||||
//g.reset();
|
||||
//g.add(fml);
|
||||
SASSERT(scope_level() == 0);
|
||||
}
|
||||
|
||||
|
||||
#endif
|
||||
|
|
132
src/tactic/core/dom_simplify_tactic.h
Normal file
132
src/tactic/core/dom_simplify_tactic.h
Normal file
|
@ -0,0 +1,132 @@
|
|||
/*++
|
||||
Copyright (c) 2017 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
dom_simplify_tactic.cpp
|
||||
|
||||
Abstract:
|
||||
|
||||
Dominator-based context simplifer.
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj and Nuno
|
||||
|
||||
Notes:
|
||||
|
||||
--*/
|
||||
|
||||
#ifndef DOM_SIMPLIFY_TACTIC_H_
|
||||
#define DOM_SIMPLIFY_TACTIC_H_
|
||||
|
||||
#include "ast/ast.h"
|
||||
#include "tactic/tactic.h"
|
||||
|
||||
|
||||
class expr_dominators {
|
||||
public:
|
||||
typedef obj_map<expr, ptr_vector<expr>> tree_t;
|
||||
private:
|
||||
ast_manager& m;
|
||||
expr_ref m_root;
|
||||
obj_map<expr, unsigned> m_expr2post; // reverse post-order number
|
||||
ptr_vector<expr> m_post2expr;
|
||||
tree_t m_parents;
|
||||
obj_map<expr, expr*> m_doms;
|
||||
tree_t m_tree;
|
||||
|
||||
void add_edge(tree_t& tree, expr * src, expr* dst) {
|
||||
tree.insert_if_not_there2(src, ptr_vector<expr>())->get_data().m_value.push_back(dst);
|
||||
}
|
||||
|
||||
void compute_post_order();
|
||||
expr* intersect(expr* x, expr * y);
|
||||
void compute_dominators();
|
||||
void extract_tree();
|
||||
|
||||
public:
|
||||
expr_dominators(ast_manager& m): m(m), m_root(m) {}
|
||||
|
||||
void compile(expr * e);
|
||||
void compile(unsigned sz, expr * const* es);
|
||||
tree_t const& get_tree() { return m_tree; }
|
||||
void reset();
|
||||
|
||||
};
|
||||
|
||||
class dom_simplify_tactic : public tactic {
|
||||
public:
|
||||
class simplifier {
|
||||
public:
|
||||
virtual ~simplifier() {}
|
||||
/**
|
||||
\brief assert_expr performs an implicit push
|
||||
*/
|
||||
virtual bool assert_expr(expr * t, bool sign) = 0;
|
||||
|
||||
/**
|
||||
\brief apply simplification.
|
||||
*/
|
||||
virtual void operator()(expr_ref& r) = 0;
|
||||
|
||||
/**
|
||||
\brief pop scopes accumulated from assertions.
|
||||
*/
|
||||
virtual void pop(unsigned num_scopes) = 0;
|
||||
|
||||
virtual simplifier * translate(ast_manager & m);
|
||||
|
||||
};
|
||||
private:
|
||||
ast_manager& m;
|
||||
simplifier* m_simplifier;
|
||||
params_ref m_params;
|
||||
expr_ref_vector m_trail, m_args, m_args2;
|
||||
obj_map<expr, expr*> m_result;
|
||||
expr_dominators m_dominators;
|
||||
unsigned m_scope_level;
|
||||
unsigned m_depth;
|
||||
unsigned m_max_depth;
|
||||
|
||||
expr_ref simplify(expr* t);
|
||||
expr_ref simplify_ite(app * ite);
|
||||
expr_ref simplify_and(app * ite) { return simplify_and_or(true, ite); }
|
||||
expr_ref simplify_or(app * ite) { return simplify_and_or(false, ite); }
|
||||
expr_ref simplify_and_or(bool is_and, app * ite);
|
||||
void simplify_goal(goal& g);
|
||||
|
||||
expr_ref get_cached(expr* t) { expr* r = 0; if (!m_result.find(r, r)) r = t; return expr_ref(r, m); }
|
||||
void cache(expr *t, expr* r) { m_result.insert(t, r); m_trail.push_back(r); }
|
||||
|
||||
unsigned scope_level() { return m_scope_level; }
|
||||
void pop(unsigned n) { SASSERT(n <= m_scope_level); m_scope_level -= n; m_simplifier->pop(n); }
|
||||
bool assert_expr(expr* f, bool sign) { m_scope_level++; return m_simplifier->assert_expr(f, sign); }
|
||||
|
||||
void init(goal& g);
|
||||
|
||||
public:
|
||||
dom_simplify_tactic(ast_manager & m, simplifier* s, params_ref const & p = params_ref()):
|
||||
m(m), m_simplifier(s), m_params(p),
|
||||
m_trail(m), m_args(m), m_args2(m),
|
||||
m_dominators(m),
|
||||
m_scope_level(0), m_depth(0), m_max_depth(1024) {}
|
||||
|
||||
|
||||
virtual ~dom_simplify_tactic() {}
|
||||
|
||||
virtual tactic * translate(ast_manager & m);
|
||||
virtual void updt_params(params_ref const & p) {}
|
||||
static void get_param_descrs(param_descrs & r) {}
|
||||
virtual void collect_param_descrs(param_descrs & r) { get_param_descrs(r); }
|
||||
|
||||
virtual void operator()(goal_ref const & in,
|
||||
goal_ref_buffer & result,
|
||||
model_converter_ref & mc,
|
||||
proof_converter_ref & pc,
|
||||
expr_dependency_ref & core);
|
||||
|
||||
virtual void cleanup();
|
||||
};
|
||||
|
||||
#endif
|
Loading…
Reference in a new issue