#include "z3.h" #include "trace.h" #include "debug.h" static Z3_ast mk_var(Z3_context ctx, char const* name, Z3_sort s) { return Z3_mk_const(ctx, Z3_mk_string_symbol(ctx, name), s); } static Z3_ast mk_int_var(Z3_context ctx, char const* name) { return mk_var(ctx, name, Z3_mk_int_sort(ctx)); } static void tst_get_implied_equalities1() { Z3_config cfg = Z3_mk_config(); Z3_context ctx = Z3_mk_context(cfg); Z3_del_config(cfg); Z3_sort int_ty = Z3_mk_int_sort(ctx); Z3_ast a = mk_int_var(ctx,"a"); Z3_ast b = mk_int_var(ctx,"b"); Z3_ast c = mk_int_var(ctx,"c"); Z3_ast d = mk_int_var(ctx,"d"); Z3_func_decl f = Z3_mk_func_decl(ctx, Z3_mk_string_symbol(ctx,"f"), 1, &int_ty, int_ty); Z3_ast fa = Z3_mk_app(ctx, f, 1, &a); Z3_ast fb = Z3_mk_app(ctx, f, 1, &b); Z3_ast fc = Z3_mk_app(ctx, f, 1, &c); unsigned const num_terms = 7; unsigned i; Z3_ast terms[7] = { a, b, c, d, fa, fb, fc }; unsigned class_ids[7] = { 0, 0, 0, 0, 0, 0, 0 }; Z3_assert_cnstr(ctx, Z3_mk_eq(ctx, a, b)); Z3_assert_cnstr(ctx, Z3_mk_eq(ctx, b, d)); Z3_assert_cnstr(ctx, Z3_mk_le(ctx, fa, fc)); Z3_assert_cnstr(ctx, Z3_mk_le(ctx, fc, d)); Z3_get_implied_equalities(ctx, num_terms, terms, class_ids); for (i = 0; i < num_terms; ++i) { printf("Class %s |-> %d\n", Z3_ast_to_string(ctx, terms[i]), class_ids[i]); } SASSERT(class_ids[1] == class_ids[0]); SASSERT(class_ids[2] != class_ids[0]); SASSERT(class_ids[3] == class_ids[0]); SASSERT(class_ids[4] != class_ids[0]); SASSERT(class_ids[5] != class_ids[0]); SASSERT(class_ids[6] != class_ids[0]); SASSERT(class_ids[4] == class_ids[5]); printf("asserting b <= f(a)\n"); Z3_assert_cnstr(ctx, Z3_mk_le(ctx, b, fa)); Z3_get_implied_equalities(ctx, num_terms, terms, class_ids); for (i = 0; i < num_terms; ++i) { printf("Class %s |-> %d\n", Z3_ast_to_string(ctx, terms[i]), class_ids[i]); } SASSERT(class_ids[1] == class_ids[0]); SASSERT(class_ids[2] != class_ids[0]); SASSERT(class_ids[3] == class_ids[0]); SASSERT(class_ids[4] == class_ids[0]); SASSERT(class_ids[5] == class_ids[0]); SASSERT(class_ids[6] == class_ids[0]); /* delete logical context */ Z3_del_context(ctx); } static void tst_get_implied_equalities2() { enable_trace("after_search"); enable_trace("get_implied_equalities"); enable_trace("implied_equalities"); Z3_config cfg = Z3_mk_config(); Z3_context ctx = Z3_mk_context(cfg); Z3_del_config(cfg); Z3_sort int_ty = Z3_mk_int_sort(ctx); Z3_sort a_ty = Z3_mk_array_sort(ctx, int_ty, int_ty); Z3_ast a = mk_int_var(ctx,"a"); Z3_ast b = mk_int_var(ctx,"b"); Z3_ast c = mk_int_var(ctx,"c"); Z3_ast d = mk_int_var(ctx,"d"); Z3_ast one = Z3_mk_numeral(ctx, "1", int_ty); Z3_ast two = Z3_mk_numeral(ctx, "2", int_ty); Z3_ast x = Z3_mk_const_array(ctx, int_ty, one); Z3_ast y = Z3_mk_store(ctx, x, one, a); Z3_ast z = Z3_mk_store(ctx, y, two , b); Z3_ast u = Z3_mk_store(ctx, x, two , b); Z3_ast v = Z3_mk_store(ctx, u, one , a); unsigned const num_terms = 5; unsigned i; Z3_ast terms[5] = { x, y, z, u, v}; unsigned class_ids[5] = { 0, 0, 0, 0, 0}; Z3_get_implied_equalities(ctx, num_terms, terms, class_ids); for (i = 0; i < num_terms; ++i) { printf("Class %s |-> %d\n", Z3_ast_to_string(ctx, terms[i]), class_ids[i]); } SASSERT(class_ids[1] != class_ids[0]); SASSERT(class_ids[2] != class_ids[0]); SASSERT(class_ids[3] != class_ids[0]); SASSERT(class_ids[4] != class_ids[0]); SASSERT(class_ids[4] == class_ids[2]); SASSERT(class_ids[2] != class_ids[1]); SASSERT(class_ids[3] != class_ids[1]); SASSERT(class_ids[4] != class_ids[1]); SASSERT(class_ids[3] != class_ids[2]); /* delete logical context */ Z3_del_context(ctx); } void tst_get_implied_equalities() { tst_get_implied_equalities1(); tst_get_implied_equalities2(); }