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Implement finite_sets_decl_plugin with all specified operations
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
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/*++
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Copyright (c) 2025 Microsoft Corporation
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Module Name:
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finite_sets_decl_plugin.cpp
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Abstract:
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Declaration plugin for finite sets
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Author:
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GitHub Copilot Agent 2025
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Revision History:
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--*/
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#include<sstream>
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#include "ast/finite_sets_decl_plugin.h"
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#include "ast/arith_decl_plugin.h"
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#include "util/warning.h"
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finite_sets_decl_plugin::finite_sets_decl_plugin():
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m_empty_sym("set.empty"),
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m_union_sym("set.union"),
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m_intersect_sym("set.intersect"),
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m_difference_sym("set.difference"),
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m_in_sym("set.in"),
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m_size_sym("set.size"),
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m_subset_sym("set.subset"),
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m_map_sym("set.map"),
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m_filter_sym("set.filter"),
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m_range_sym("set.range") {
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}
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sort * finite_sets_decl_plugin::mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) {
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if (k == FINITE_SET_SORT) {
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if (num_parameters != 1) {
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m_manager->raise_exception("FiniteSet sort expects exactly one parameter (element sort)");
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return nullptr;
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}
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if (!parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
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m_manager->raise_exception("FiniteSet sort parameter must be a sort");
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return nullptr;
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}
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sort * element_sort = to_sort(parameters[0].get_ast());
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sort_size sz = sort_size::mk_very_big();
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sort_info info(m_family_id, FINITE_SET_SORT, sz, num_parameters, parameters);
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return m_manager->mk_sort(symbol("FiniteSet"), info);
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}
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m_manager->raise_exception("unknown finite set sort");
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return nullptr;
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}
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sort * finite_sets_decl_plugin::get_element_sort(sort* finite_set_sort) const {
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if (finite_set_sort->get_family_id() != m_family_id ||
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finite_set_sort->get_decl_kind() != FINITE_SET_SORT) {
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return nullptr;
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}
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parameter const* params = finite_set_sort->get_parameters();
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if (!params[0].is_ast() || !is_sort(params[0].get_ast())) {
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return nullptr;
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}
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return to_sort(params[0].get_ast());
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}
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bool finite_sets_decl_plugin::check_finite_set_arguments(unsigned arity, sort * const * domain) {
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if (arity == 0) {
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return true;
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}
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sort* first_sort = domain[0];
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if (first_sort->get_family_id() != m_family_id ||
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first_sort->get_decl_kind() != FINITE_SET_SORT) {
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m_manager->raise_exception("argument is not of FiniteSet sort");
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return false;
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}
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for (unsigned i = 1; i < arity; ++i) {
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if (domain[i] != first_sort) {
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std::ostringstream buffer;
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buffer << "arguments " << 1 << " and " << (i+1) << " have different sorts";
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m_manager->raise_exception(buffer.str());
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return false;
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}
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}
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return true;
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}
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func_decl * finite_sets_decl_plugin::mk_empty(sort* element_sort) {
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parameter param(element_sort);
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sort * finite_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, ¶m);
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sort * const * no_domain = nullptr;
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return m_manager->mk_func_decl(m_empty_sym, 0u, no_domain, finite_set_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_EMPTY, 1, ¶m));
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}
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func_decl * finite_sets_decl_plugin::mk_union(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.union takes exactly two arguments");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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return m_manager->mk_func_decl(m_union_sym, arity, domain, domain[0],
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func_decl_info(m_family_id, OP_FINITE_SET_UNION));
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}
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func_decl * finite_sets_decl_plugin::mk_intersect(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.intersect takes exactly two arguments");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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return m_manager->mk_func_decl(m_intersect_sym, arity, domain, domain[0],
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func_decl_info(m_family_id, OP_FINITE_SET_INTERSECT));
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}
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func_decl * finite_sets_decl_plugin::mk_difference(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.difference takes exactly two arguments");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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return m_manager->mk_func_decl(m_difference_sym, arity, domain, domain[0],
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func_decl_info(m_family_id, OP_FINITE_SET_DIFFERENCE));
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}
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func_decl * finite_sets_decl_plugin::mk_in(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.in takes exactly two arguments");
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return nullptr;
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}
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if (domain[1]->get_family_id() != m_family_id ||
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domain[1]->get_decl_kind() != FINITE_SET_SORT) {
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m_manager->raise_exception("second argument of set.in must be a FiniteSet");
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return nullptr;
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}
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sort* element_sort = get_element_sort(domain[1]);
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if (!element_sort) {
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m_manager->raise_exception("invalid FiniteSet sort");
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return nullptr;
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}
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if (domain[0] != element_sort) {
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m_manager->raise_exception("element type does not match set element type");
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return nullptr;
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}
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sort* bool_sort = m_manager->mk_bool_sort();
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return m_manager->mk_func_decl(m_in_sym, arity, domain, bool_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_IN));
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}
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func_decl * finite_sets_decl_plugin::mk_size(unsigned arity, sort * const * domain) {
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if (arity != 1) {
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m_manager->raise_exception("set.size takes exactly one argument");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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arith_util arith(*m_manager);
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sort * int_sort = arith.mk_int();
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return m_manager->mk_func_decl(m_size_sym, arity, domain, int_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_SIZE));
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}
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func_decl * finite_sets_decl_plugin::mk_subset(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.subset takes exactly two arguments");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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sort* bool_sort = m_manager->mk_bool_sort();
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return m_manager->mk_func_decl(m_subset_sym, arity, domain, bool_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_SUBSET));
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}
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func_decl * finite_sets_decl_plugin::mk_map(func_decl* f, unsigned arity, sort* const* domain) {
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if (arity != 1) {
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m_manager->raise_exception("set.map takes exactly one set argument");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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// Get the element sort of the input set
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sort* input_element_sort = get_element_sort(domain[0]);
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if (!input_element_sort) {
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m_manager->raise_exception("invalid FiniteSet sort");
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return nullptr;
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}
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// Check that the function has correct signature
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if (f->get_arity() != 1) {
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m_manager->raise_exception("set.map function must take exactly one argument");
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return nullptr;
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}
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if (f->get_domain(0) != input_element_sort) {
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m_manager->raise_exception("set.map function domain must match set element type");
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return nullptr;
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}
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// Create output set sort with the function's range as element type
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sort* output_element_sort = f->get_range();
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parameter param(output_element_sort);
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sort* output_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, ¶m);
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parameter func_param(f);
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return m_manager->mk_func_decl(m_map_sym, arity, domain, output_set_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_MAP, 1, &func_param));
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}
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func_decl * finite_sets_decl_plugin::mk_filter(func_decl* f, unsigned arity, sort* const* domain) {
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if (arity != 1) {
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m_manager->raise_exception("set.filter takes exactly one set argument");
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return nullptr;
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}
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if (!check_finite_set_arguments(arity, domain)) {
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return nullptr;
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}
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// Get the element sort of the set
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sort* element_sort = get_element_sort(domain[0]);
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if (!element_sort) {
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m_manager->raise_exception("invalid FiniteSet sort");
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return nullptr;
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}
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// Check that the function has correct signature (S -> Bool)
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if (f->get_arity() != 1) {
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m_manager->raise_exception("set.filter function must take exactly one argument");
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return nullptr;
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}
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if (f->get_domain(0) != element_sort) {
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m_manager->raise_exception("set.filter function domain must match set element type");
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return nullptr;
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}
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if (!m_manager->is_bool(f->get_range())) {
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m_manager->raise_exception("set.filter function must return Bool");
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return nullptr;
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}
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parameter func_param(f);
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return m_manager->mk_func_decl(m_filter_sym, arity, domain, domain[0],
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func_decl_info(m_family_id, OP_FINITE_SET_FILTER, 1, &func_param));
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}
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func_decl * finite_sets_decl_plugin::mk_range(unsigned arity, sort * const * domain) {
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if (arity != 2) {
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m_manager->raise_exception("set.range takes exactly two arguments");
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return nullptr;
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}
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arith_util arith(*m_manager);
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sort * int_sort = arith.mk_int();
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if (domain[0] != int_sort || domain[1] != int_sort) {
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m_manager->raise_exception("set.range arguments must be Int");
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return nullptr;
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}
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parameter param(int_sort);
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sort* output_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, ¶m);
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return m_manager->mk_func_decl(m_range_sym, arity, domain, output_set_sort,
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func_decl_info(m_family_id, OP_FINITE_SET_RANGE));
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}
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func_decl * finite_sets_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters,
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parameter const * parameters,
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unsigned arity, sort * const * domain,
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sort * range) {
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switch (k) {
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case OP_FINITE_SET_EMPTY:
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if (num_parameters != 1 || !parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
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m_manager->raise_exception("set.empty requires one sort parameter");
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return nullptr;
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}
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return mk_empty(to_sort(parameters[0].get_ast()));
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case OP_FINITE_SET_UNION:
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return mk_union(arity, domain);
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case OP_FINITE_SET_INTERSECT:
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return mk_intersect(arity, domain);
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case OP_FINITE_SET_DIFFERENCE:
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return mk_difference(arity, domain);
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case OP_FINITE_SET_IN:
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return mk_in(arity, domain);
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case OP_FINITE_SET_SIZE:
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return mk_size(arity, domain);
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case OP_FINITE_SET_SUBSET:
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return mk_subset(arity, domain);
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case OP_FINITE_SET_MAP:
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if (num_parameters != 1 || !parameters[0].is_ast() || !is_func_decl(parameters[0].get_ast())) {
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m_manager->raise_exception("set.map requires one function parameter");
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return nullptr;
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}
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return mk_map(to_func_decl(parameters[0].get_ast()), arity, domain);
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case OP_FINITE_SET_FILTER:
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if (num_parameters != 1 || !parameters[0].is_ast() || !is_func_decl(parameters[0].get_ast())) {
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m_manager->raise_exception("set.filter requires one function parameter");
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return nullptr;
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}
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return mk_filter(to_func_decl(parameters[0].get_ast()), arity, domain);
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case OP_FINITE_SET_RANGE:
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return mk_range(arity, domain);
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default:
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return nullptr;
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}
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}
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void finite_sets_decl_plugin::get_op_names(svector<builtin_name>& op_names, symbol const & logic) {
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op_names.push_back(builtin_name("set.empty", OP_FINITE_SET_EMPTY));
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op_names.push_back(builtin_name("set.union", OP_FINITE_SET_UNION));
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op_names.push_back(builtin_name("set.intersect", OP_FINITE_SET_INTERSECT));
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op_names.push_back(builtin_name("set.difference", OP_FINITE_SET_DIFFERENCE));
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op_names.push_back(builtin_name("set.in", OP_FINITE_SET_IN));
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op_names.push_back(builtin_name("set.size", OP_FINITE_SET_SIZE));
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op_names.push_back(builtin_name("set.subset", OP_FINITE_SET_SUBSET));
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op_names.push_back(builtin_name("set.map", OP_FINITE_SET_MAP));
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op_names.push_back(builtin_name("set.filter", OP_FINITE_SET_FILTER));
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op_names.push_back(builtin_name("set.range", OP_FINITE_SET_RANGE));
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}
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void finite_sets_decl_plugin::get_sort_names(svector<builtin_name>& sort_names, symbol const & logic) {
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sort_names.push_back(builtin_name("FiniteSet", FINITE_SET_SORT));
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}
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expr * finite_sets_decl_plugin::get_some_value(sort * s) {
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if (s->get_family_id() == m_family_id && s->get_decl_kind() == FINITE_SET_SORT) {
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// Return empty set for the given sort
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sort* element_sort = get_element_sort(s);
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if (element_sort) {
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parameter param(element_sort);
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return m_manager->mk_app(m_family_id, OP_FINITE_SET_EMPTY, 1, ¶m, 0, nullptr);
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}
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}
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return nullptr;
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}
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bool finite_sets_decl_plugin::is_fully_interp(sort * s) const {
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return s->get_family_id() == m_family_id && s->get_decl_kind() == FINITE_SET_SORT;
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}
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bool finite_sets_decl_plugin::is_value(app * e) const {
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// Empty set is a value
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return is_app_of(e, m_family_id, OP_FINITE_SET_EMPTY);
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}
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bool finite_sets_decl_plugin::is_unique_value(app* e) const {
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// Empty set is a unique value for its sort
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return is_value(e);
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}
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