diff options
| author |   Kenji Hosokawa <khosokawa@jp.adit-jv.com> | 2021-09-27 17:23:10 +0900 |
|---|---|---|
| committer | Kenji Hosokawa <khosokawa@jp.adit-jv.com> | 2021-09-27 17:23:10 +0900 |
| commit | 05417f782cb2377a4105969f910d2ed0416a8c47 (patch) | |
| tree | 245300cbb1d501035de708ab93f174e7093c2f4c /tool_bin/lib | |
| parent | 44a3da18a257cc46aa0dbfd01947deeb377ab049 (diff) | |
push pre-built toolneedlefish_13.93.0needlefish/13.93.0marlin_12.93.0marlin_12.92.0marlin_12.91.0marlin_12.90.1marlin/12.93.0marlin/12.92.0marlin/12.91.0marlin/12.90.1lamprey_12.1.6lamprey_12.1.5lamprey_12.1.4lamprey_12.1.3lamprey_12.1.2lamprey_12.1.1lamprey_12.1.0lamprey/12.1.6lamprey/12.1.5lamprey/12.1.4lamprey/12.1.3lamprey/12.1.2lamprey/12.1.1lamprey/12.1.0koi_11.0.5koi/11.0.513.93.012.93.012.92.012.91.012.90.112.1.612.1.512.1.412.1.312.1.212.1.112.1.011.0.5
Signed-off-by: Kenji Hosokawa <khosokawa@jp.adit-jv.com>
Diffstat (limited to 'tool_bin/lib')
124 files changed, 12576 insertions, 0 deletions
diff --git a/tool_bin/lib/ServerLauncher_lib/ace-1.2.3.jar b/tool_bin/lib/ServerLauncher_lib/ace-1.2.3.jar Binary files differnew file mode 100644 index 0000000..1cfb6fb --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/ace-1.2.3.jar diff --git a/tool_bin/lib/ServerLauncher_lib/antlr-runtime-3.2.jar b/tool_bin/lib/ServerLauncher_lib/antlr-runtime-3.2.jar Binary files differnew file mode 100644 index 0000000..5ae7f2a --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/antlr-runtime-3.2.jar diff --git a/tool_bin/lib/ServerLauncher_lib/aopalliance-1.0.jar b/tool_bin/lib/ServerLauncher_lib/aopalliance-1.0.jar Binary files differnew file mode 100644 index 0000000..578b1a0 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/aopalliance-1.0.jar diff --git a/tool_bin/lib/ServerLauncher_lib/asm-5.0.1.jar b/tool_bin/lib/ServerLauncher_lib/asm-5.0.1.jar Binary files differnew file mode 100644 index 0000000..eeb3bc6 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/asm-5.0.1.jar diff --git a/tool_bin/lib/ServerLauncher_lib/asm-commons-5.0.1.jar b/tool_bin/lib/ServerLauncher_lib/asm-commons-5.0.1.jar Binary files differnew file mode 100644 index 0000000..b1f7696 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/asm-commons-5.0.1.jar diff --git a/tool_bin/lib/ServerLauncher_lib/asm-tree-5.0.1.jar b/tool_bin/lib/ServerLauncher_lib/asm-tree-5.0.1.jar Binary files differnew file mode 100644 index 0000000..3b1a346 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/asm-tree-5.0.1.jar diff --git a/tool_bin/lib/ServerLauncher_lib/com.google.guava_21.0.0.v20170206-1425.jar b/tool_bin/lib/ServerLauncher_lib/com.google.guava_21.0.0.v20170206-1425.jar Binary files differnew file mode 100644 index 0000000..93dd7e4 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/com.google.guava_21.0.0.v20170206-1425.jar diff --git a/tool_bin/lib/ServerLauncher_lib/com.google.inject_3.0.0.v201312141243.jar b/tool_bin/lib/ServerLauncher_lib/com.google.inject_3.0.0.v201312141243.jar Binary files differnew file mode 100644 index 0000000..61acdae --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/com.google.inject_3.0.0.v201312141243.jar diff --git a/tool_bin/lib/ServerLauncher_lib/com.ibm.icu_58.2.0.v20170418-1837.jar b/tool_bin/lib/ServerLauncher_lib/com.ibm.icu_58.2.0.v20170418-1837.jar Binary files differnew file mode 100644 index 0000000..c0eaed4 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/com.ibm.icu_58.2.0.v20170418-1837.jar diff --git a/tool_bin/lib/ServerLauncher_lib/de.itemis.xtext.antlr_2.1.1.v201405091103.jar b/tool_bin/lib/ServerLauncher_lib/de.itemis.xtext.antlr_2.1.1.v201405091103.jar Binary files differnew file mode 100644 index 0000000..34134f0 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/de.itemis.xtext.antlr_2.1.1.v201405091103.jar diff --git a/tool_bin/lib/ServerLauncher_lib/gson-2.5.jar b/tool_bin/lib/ServerLauncher_lib/gson-2.5.jar Binary files differnew file mode 100644 index 0000000..5c35c5d --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/gson-2.5.jar diff --git a/tool_bin/lib/ServerLauncher_lib/guava-19.0-rc3.jar b/tool_bin/lib/ServerLauncher_lib/guava-19.0-rc3.jar Binary files differnew file mode 100644 index 0000000..11939f2 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/guava-19.0-rc3.jar diff --git a/tool_bin/lib/ServerLauncher_lib/guice-3.0.jar b/tool_bin/lib/ServerLauncher_lib/guice-3.0.jar Binary files differnew file mode 100644 index 0000000..f313e2b --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/guice-3.0.jar diff --git a/tool_bin/lib/ServerLauncher_lib/javax.annotation-api-1.2.jar b/tool_bin/lib/ServerLauncher_lib/javax.annotation-api-1.2.jar Binary files differnew file mode 100644 index 0000000..9ab39ff --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/javax.annotation-api-1.2.jar diff --git a/tool_bin/lib/ServerLauncher_lib/javax.inject-1.jar b/tool_bin/lib/ServerLauncher_lib/javax.inject-1.jar Binary files differnew file mode 100644 index 0000000..b2a9d0b --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/javax.inject-1.jar diff --git a/tool_bin/lib/ServerLauncher_lib/javax.inject_1.0.0.v20091030.jar b/tool_bin/lib/ServerLauncher_lib/javax.inject_1.0.0.v20091030.jar Binary files differnew file mode 100644 index 0000000..097f9d5 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/javax.inject_1.0.0.v20091030.jar diff --git a/tool_bin/lib/ServerLauncher_lib/javax.servlet-api-3.1.0.jar b/tool_bin/lib/ServerLauncher_lib/javax.servlet-api-3.1.0.jar Binary files differnew file mode 100644 index 0000000..6b14c3d --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/javax.servlet-api-3.1.0.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-annotations-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-annotations-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..2935f4f --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-annotations-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-client-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-client-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..4bfcb9d --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-client-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-http-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-http-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..e96f14b --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-http-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-io-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-io-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..5bee006 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-io-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-jndi-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-jndi-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..8e0960e --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-jndi-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-plus-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-plus-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..a4a441d --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-plus-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-security-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-security-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..ec302c7 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-security-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-server-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-server-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..dde15ab --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-server-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-servlet-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-servlet-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..7bdf1e5 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-servlet-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-util-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-util-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..89b9197 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-util-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-webapp-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-webapp-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..052518c --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-webapp-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jetty-xml-9.3.8.v20160314.jar b/tool_bin/lib/ServerLauncher_lib/jetty-xml-9.3.8.v20160314.jar Binary files differnew file mode 100644 index 0000000..ffab015 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jetty-xml-9.3.8.v20160314.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jfxswt.jar b/tool_bin/lib/ServerLauncher_lib/jfxswt.jar Binary files differnew file mode 100644 index 0000000..5feeb7f --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jfxswt.jar diff --git a/tool_bin/lib/ServerLauncher_lib/jquery-2.2.4.jar b/tool_bin/lib/ServerLauncher_lib/jquery-2.2.4.jar Binary files differnew file mode 100644 index 0000000..dd41fb0 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/jquery-2.2.4.jar diff --git a/tool_bin/lib/ServerLauncher_lib/log4j-1.2.16.jar b/tool_bin/lib/ServerLauncher_lib/log4j-1.2.16.jar Binary files differnew file mode 100644 index 0000000..5429a90 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/log4j-1.2.16.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.antlr.generator_3.2.0.v201405091103.jar b/tool_bin/lib/ServerLauncher_lib/org.antlr.generator_3.2.0.v201405091103.jar Binary files differnew file mode 100644 index 0000000..eebe1ed --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.antlr.generator_3.2.0.v201405091103.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_3.2.0.v201101311130.jar b/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_3.2.0.v201101311130.jar Binary files differnew file mode 100644 index 0000000..1184528 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_3.2.0.v201101311130.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_4.3.0.v201502022030.jar b/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_4.3.0.v201502022030.jar Binary files differnew file mode 100644 index 0000000..4d06977 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.antlr.runtime_4.3.0.v201502022030.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.apache.commons.cli_1.2.0.v201404270220.jar b/tool_bin/lib/ServerLauncher_lib/org.apache.commons.cli_1.2.0.v201404270220.jar Binary files differnew file mode 100644 index 0000000..8d919ee --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.apache.commons.cli_1.2.0.v201404270220.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.apache.commons.logging_1.1.1.v201101211721.jar b/tool_bin/lib/ServerLauncher_lib/org.apache.commons.logging_1.1.1.v201101211721.jar Binary files differnew file mode 100644 index 0000000..e1df731 --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.apache.commons.logging_1.1.1.v201101211721.jar diff --git a/tool_bin/lib/ServerLauncher_lib/org.apache.log4j_1.2.15.v201012070815.jar b/tool_bin/lib/ServerLauncher_lib/org.apache.log4j_1.2.15.v201012070815.jar Binary files differnew file mode 100644 index 0000000..ff5818b --- /dev/null +++ b/tool_bin/lib/ServerLauncher_lib/org.apache.log4j_1.2.15.v201012070815.jar diff 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b/tool_bin/lib/linux/z3/LICENSE.txt @@ -0,0 +1,10 @@ +Z3 +Copyright (c) Microsoft Corporation +All rights reserved. +MIT License + +Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED *AS IS*, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
\ No newline at end of file diff --git a/tool_bin/lib/linux/z3/include/z3++.h b/tool_bin/lib/linux/z3/include/z3++.h new file mode 100644 index 0000000..7d45c97 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3++.h @@ -0,0 +1,3332 @@ +/*++ +Copyright (c) 2012 Microsoft Corporation + + Thin C++ layer on top of the Z3 C API. + Main features: + - Smart pointers for all Z3 objects. + - Object-Oriented interface. + - Operator overloading. + - Exceptions for signining Z3 errors + + The C API can be used simultaneously with the C++ layer. + However, if you use the C API directly, you will have to check the error conditions manually. + Of course, you can invoke the method check_error() of the context object. +Author: + + Leonardo (leonardo) 2012-03-28 + +Notes: + +--*/ +#ifndef Z3PP_H_ +#define Z3PP_H_ + +#include<cassert> +#include<iostream> +#include<string> +#include<sstream> +#include<z3.h> +#include<limits.h> + +#undef min +#undef max + +/** + \defgroup cppapi C++ API + +*/ +/*@{*/ + +/** + @name C++ API classes and functions +*/ +/*@{*/ + +/** + \brief Z3 C++ namespace +*/ +namespace z3 { + + class exception; + class config; + class context; + class symbol; + class params; + class param_descrs; + class ast; + class sort; + class func_decl; + class expr; + class solver; + class goal; + class tactic; + class probe; + class model; + class func_interp; + class func_entry; + class statistics; + class apply_result; + template<typename T> class ast_vector_tpl; + typedef ast_vector_tpl<ast> ast_vector; + typedef ast_vector_tpl<expr> expr_vector; + typedef ast_vector_tpl<sort> sort_vector; + typedef ast_vector_tpl<func_decl> func_decl_vector; + + inline void set_param(char const * param, char const * value) { Z3_global_param_set(param, value); } + inline void set_param(char const * param, bool value) { Z3_global_param_set(param, value ? "true" : "false"); } + inline void set_param(char const * param, int value) { std::ostringstream oss; oss << value; Z3_global_param_set(param, oss.str().c_str()); } + inline void reset_params() { Z3_global_param_reset_all(); } + + /** + \brief Exception used to sign API usage errors. + */ + class exception { + std::string m_msg; + public: + exception(char const * msg):m_msg(msg) {} + char const * msg() const { return m_msg.c_str(); } + friend std::ostream & operator<<(std::ostream & out, exception const & e); + }; + inline std::ostream & operator<<(std::ostream & out, exception const & e) { out << e.msg(); return out; } + +#if !defined(Z3_THROW) +#if __cpp_exceptions || _CPPUNWIND || __EXCEPTIONS +#define Z3_THROW(x) throw x +#else +#define Z3_THROW(x) {} +#endif +#endif // !defined(Z3_THROW) + + /** + \brief Z3 global configuration object. + */ + class config { + Z3_config m_cfg; + config(config const & s); + config & operator=(config const & s); + public: + config() { m_cfg = Z3_mk_config(); } + ~config() { Z3_del_config(m_cfg); } + operator Z3_config() const { return m_cfg; } + /** + \brief Set global parameter \c param with string \c value. + */ + void set(char const * param, char const * value) { Z3_set_param_value(m_cfg, param, value); } + /** + \brief Set global parameter \c param with Boolean \c value. + */ + void set(char const * param, bool value) { Z3_set_param_value(m_cfg, param, value ? "true" : "false"); } + /** + \brief Set global parameter \c param with integer \c value. + */ + void set(char const * param, int value) { + std::ostringstream oss; + oss << value; + Z3_set_param_value(m_cfg, param, oss.str().c_str()); + } + }; + + enum check_result { + unsat, sat, unknown + }; + + enum rounding_mode { + RNA, + RNE, + RTP, + RTN, + RTZ + }; + + inline check_result to_check_result(Z3_lbool l) { + if (l == Z3_L_TRUE) return sat; + else if (l == Z3_L_FALSE) return unsat; + return unknown; + } + + + /** + \brief A Context manages all other Z3 objects, global configuration options, etc. + */ + + + class context { + private: + bool m_enable_exceptions; + rounding_mode m_rounding_mode; + Z3_context m_ctx; + void init(config & c) { + m_ctx = Z3_mk_context_rc(c); + m_enable_exceptions = true; + m_rounding_mode = RNA; + Z3_set_error_handler(m_ctx, 0); + Z3_set_ast_print_mode(m_ctx, Z3_PRINT_SMTLIB2_COMPLIANT); + } + + + context(context const & s); + context & operator=(context const & s); + public: + context() { config c; init(c); } + context(config & c) { init(c); } + ~context() { Z3_del_context(m_ctx); } + operator Z3_context() const { return m_ctx; } + + /** + \brief Auxiliary method used to check for API usage errors. + */ + Z3_error_code check_error() const { + Z3_error_code e = Z3_get_error_code(m_ctx); + if (e != Z3_OK && enable_exceptions()) + Z3_THROW(exception(Z3_get_error_msg(m_ctx, e))); + return e; + } + + void check_parser_error() const { + check_error(); + } + + /** + \brief The C++ API uses by defaults exceptions on errors. + For applications that don't work well with exceptions (there should be only few) + you have the ability to turn off exceptions. The tradeoffs are that applications + have to be very careful about using check_error() after calls that may result in an + erroneous state. + */ + void set_enable_exceptions(bool f) { m_enable_exceptions = f; } + + bool enable_exceptions() const { return m_enable_exceptions; } + + /** + \brief Update global parameter \c param with string \c value. + */ + void set(char const * param, char const * value) { Z3_update_param_value(m_ctx, param, value); } + /** + \brief Update global parameter \c param with Boolean \c value. + */ + void set(char const * param, bool value) { Z3_update_param_value(m_ctx, param, value ? "true" : "false"); } + /** + \brief Update global parameter \c param with Integer \c value. + */ + void set(char const * param, int value) { + std::ostringstream oss; + oss << value; + Z3_update_param_value(m_ctx, param, oss.str().c_str()); + } + + /** + \brief Interrupt the current procedure being executed by any object managed by this context. + This is a soft interruption: there is no guarantee the object will actually stop. + */ + void interrupt() { Z3_interrupt(m_ctx); } + + /** + \brief Create a Z3 symbol based on the given string. + */ + symbol str_symbol(char const * s); + /** + \brief Create a Z3 symbol based on the given integer. + */ + symbol int_symbol(int n); + /** + \brief Return the Boolean sort. + */ + sort bool_sort(); + /** + \brief Return the integer sort. + */ + sort int_sort(); + /** + \brief Return the Real sort. + */ + sort real_sort(); + /** + \brief Return the Bit-vector sort of size \c sz. That is, the sort for bit-vectors of size \c sz. + */ + sort bv_sort(unsigned sz); + /** + \brief Return the sort for ASCII strings. + */ + sort string_sort(); + /** + \brief Return a sequence sort over base sort \c s. + */ + sort seq_sort(sort& s); + /** + \brief Return a regular expression sort over sequences \c seq_sort. + */ + sort re_sort(sort& seq_sort); + /** + \brief Return an array sort for arrays from \c d to \c r. + + Example: Given a context \c c, <tt>c.array_sort(c.int_sort(), c.bool_sort())</tt> is an array sort from integer to Boolean. + */ + sort array_sort(sort d, sort r); + sort array_sort(sort_vector const& d, sort r); + /** + \brief Return a floating point sort. + \c ebits is a number of exponent bits, + \c sbits is a number of significand bits, + \pre where ebits must be larger than 1 and sbits must be larger than 2. + */ + sort fpa_sort(unsigned ebits, unsigned sbits); + /** + \brief Return a FloatingPoint sort with given precision bitwidth (16, 32, 64 or 128). + */ + template<size_t precision> + sort fpa_sort(); + /** + \brief Return a RoundingMode sort. + */ + sort fpa_rounding_mode(); + /** + \brief Sets RoundingMode of FloatingPoints. + */ + void set_rounding_mode(rounding_mode rm); + /** + \brief Return an enumeration sort: enum_names[0], ..., enum_names[n-1]. + \c cs and \c ts are output parameters. The method stores in \c cs the constants corresponding to the enumerated elements, + and in \c ts the predicates for testing if terms of the enumeration sort correspond to an enumeration. + */ + sort enumeration_sort(char const * name, unsigned n, char const * const * enum_names, func_decl_vector & cs, func_decl_vector & ts); + + /** + \brief Return a tuple constructor. + \c name is the name of the returned constructor, + \c n are the number of arguments, \c names and \c sorts are their projected sorts. + \c projs is an output parameter. It contains the set of projection functions. + */ + func_decl tuple_sort(char const * name, unsigned n, char const * const * names, sort const* sorts, func_decl_vector & projs); + + /** + \brief create an uninterpreted sort with the name given by the string or symbol. + */ + sort uninterpreted_sort(char const* name); + sort uninterpreted_sort(symbol const& name); + + func_decl function(symbol const & name, unsigned arity, sort const * domain, sort const & range); + func_decl function(char const * name, unsigned arity, sort const * domain, sort const & range); + func_decl function(symbol const& name, sort_vector const& domain, sort const& range); + func_decl function(char const * name, sort_vector const& domain, sort const& range); + func_decl function(char const * name, sort const & domain, sort const & range); + func_decl function(char const * name, sort const & d1, sort const & d2, sort const & range); + func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & range); + func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & range); + func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & d5, sort const & range); + + func_decl recfun(symbol const & name, unsigned arity, sort const * domain, sort const & range); + func_decl recfun(char const * name, unsigned arity, sort const * domain, sort const & range); + func_decl recfun(char const * name, sort const & domain, sort const & range); + func_decl recfun(char const * name, sort const & d1, sort const & d2, sort const & range); + + void recdef(func_decl, expr_vector const& args, expr const& body); + + expr constant(symbol const & name, sort const & s); + expr constant(char const * name, sort const & s); + expr bool_const(char const * name); + expr int_const(char const * name); + expr real_const(char const * name); + expr bv_const(char const * name, unsigned sz); + expr fpa_const(char const * name, unsigned ebits, unsigned sbits); + + template<size_t precision> + expr fpa_const(char const * name); + + expr bool_val(bool b); + + expr int_val(int n); + expr int_val(unsigned n); + expr int_val(int64_t n); + expr int_val(uint64_t n); + expr int_val(char const * n); + + expr real_val(int n, int d); + expr real_val(int n); + expr real_val(unsigned n); + expr real_val(int64_t n); + expr real_val(uint64_t n); + expr real_val(char const * n); + + expr bv_val(int n, unsigned sz); + expr bv_val(unsigned n, unsigned sz); + expr bv_val(int64_t n, unsigned sz); + expr bv_val(uint64_t n, unsigned sz); + expr bv_val(char const * n, unsigned sz); + expr bv_val(unsigned n, bool const* bits); + + expr fpa_val(double n); + expr fpa_val(float n); + + expr string_val(char const* s); + expr string_val(std::string const& s); + + expr num_val(int n, sort const & s); + + /** + \brief parsing + */ + expr_vector parse_string(char const* s); + expr_vector parse_file(char const* file); + + expr_vector parse_string(char const* s, sort_vector const& sorts, func_decl_vector const& decls); + expr_vector parse_file(char const* s, sort_vector const& sorts, func_decl_vector const& decls); + + + }; + + + + + template<typename T> + class array { + T * m_array; + unsigned m_size; + array(array const & s); + array & operator=(array const & s); + public: + array(unsigned sz):m_size(sz) { m_array = new T[sz]; } + template<typename T2> + array(ast_vector_tpl<T2> const & v); + ~array() { delete[] m_array; } + unsigned size() const { return m_size; } + T & operator[](int i) { assert(0 <= i); assert(static_cast<unsigned>(i) < m_size); return m_array[i]; } + T const & operator[](int i) const { assert(0 <= i); assert(static_cast<unsigned>(i) < m_size); return m_array[i]; } + T const * ptr() const { return m_array; } + T * ptr() { return m_array; } + }; + + class object { + protected: + context * m_ctx; + public: + object(context & c):m_ctx(&c) {} + object(object const & s):m_ctx(s.m_ctx) {} + context & ctx() const { return *m_ctx; } + Z3_error_code check_error() const { return m_ctx->check_error(); } + friend void check_context(object const & a, object const & b); + }; + inline void check_context(object const & a, object const & b) { (void)a; (void)b; assert(a.m_ctx == b.m_ctx); } + + class symbol : public object { + Z3_symbol m_sym; + public: + symbol(context & c, Z3_symbol s):object(c), m_sym(s) {} + symbol(symbol const & s):object(s), m_sym(s.m_sym) {} + symbol & operator=(symbol const & s) { m_ctx = s.m_ctx; m_sym = s.m_sym; return *this; } + operator Z3_symbol() const { return m_sym; } + Z3_symbol_kind kind() const { return Z3_get_symbol_kind(ctx(), m_sym); } + std::string str() const { assert(kind() == Z3_STRING_SYMBOL); return Z3_get_symbol_string(ctx(), m_sym); } + int to_int() const { assert(kind() == Z3_INT_SYMBOL); return Z3_get_symbol_int(ctx(), m_sym); } + friend std::ostream & operator<<(std::ostream & out, symbol const & s); + }; + + inline std::ostream & operator<<(std::ostream & out, symbol const & s) { + if (s.kind() == Z3_INT_SYMBOL) + out << "k!" << s.to_int(); + else + out << s.str().c_str(); + return out; + } + + + class param_descrs : public object { + Z3_param_descrs m_descrs; + public: + param_descrs(context& c, Z3_param_descrs d): object(c), m_descrs(d) { Z3_param_descrs_inc_ref(c, d); } + param_descrs(param_descrs const& o): object(o.ctx()), m_descrs(o.m_descrs) { Z3_param_descrs_inc_ref(ctx(), m_descrs); } + param_descrs& operator=(param_descrs const& o) { + Z3_param_descrs_inc_ref(o.ctx(), o.m_descrs); + Z3_param_descrs_dec_ref(ctx(), m_descrs); + m_descrs = o.m_descrs; + m_ctx = o.m_ctx; + return *this; + } + ~param_descrs() { Z3_param_descrs_dec_ref(ctx(), m_descrs); } + static param_descrs simplify_param_descrs(context& c) { return param_descrs(c, Z3_simplify_get_param_descrs(c)); } + + unsigned size() { return Z3_param_descrs_size(ctx(), m_descrs); } + symbol name(unsigned i) { return symbol(ctx(), Z3_param_descrs_get_name(ctx(), m_descrs, i)); } + Z3_param_kind kind(symbol const& s) { return Z3_param_descrs_get_kind(ctx(), m_descrs, s); } + std::string documentation(symbol const& s) { char const* r = Z3_param_descrs_get_documentation(ctx(), m_descrs, s); check_error(); return r; } + std::string to_string() const { return Z3_param_descrs_to_string(ctx(), m_descrs); } + }; + + inline std::ostream& operator<<(std::ostream & out, param_descrs const & d) { return out << d.to_string(); } + + class params : public object { + Z3_params m_params; + public: + params(context & c):object(c) { m_params = Z3_mk_params(c); Z3_params_inc_ref(ctx(), m_params); } + params(params const & s):object(s), m_params(s.m_params) { Z3_params_inc_ref(ctx(), m_params); } + ~params() { Z3_params_dec_ref(ctx(), m_params); } + operator Z3_params() const { return m_params; } + params & operator=(params const & s) { + Z3_params_inc_ref(s.ctx(), s.m_params); + Z3_params_dec_ref(ctx(), m_params); + m_ctx = s.m_ctx; + m_params = s.m_params; + return *this; + } + void set(char const * k, bool b) { Z3_params_set_bool(ctx(), m_params, ctx().str_symbol(k), b); } + void set(char const * k, unsigned n) { Z3_params_set_uint(ctx(), m_params, ctx().str_symbol(k), n); } + void set(char const * k, double n) { Z3_params_set_double(ctx(), m_params, ctx().str_symbol(k), n); } + void set(char const * k, symbol const & s) { Z3_params_set_symbol(ctx(), m_params, ctx().str_symbol(k), s); } + void set(char const * k, char const* s) { Z3_params_set_symbol(ctx(), m_params, ctx().str_symbol(k), ctx().str_symbol(s)); } + friend std::ostream & operator<<(std::ostream & out, params const & p); + }; + + inline std::ostream & operator<<(std::ostream & out, params const & p) { + out << Z3_params_to_string(p.ctx(), p); return out; + } + + class ast : public object { + protected: + Z3_ast m_ast; + public: + ast(context & c):object(c), m_ast(0) {} + ast(context & c, Z3_ast n):object(c), m_ast(n) { Z3_inc_ref(ctx(), m_ast); } + ast(ast const & s):object(s), m_ast(s.m_ast) { Z3_inc_ref(ctx(), m_ast); } + ~ast() { if (m_ast) Z3_dec_ref(*m_ctx, m_ast); } + operator Z3_ast() const { return m_ast; } + operator bool() const { return m_ast != 0; } + ast & operator=(ast const & s) { Z3_inc_ref(s.ctx(), s.m_ast); if (m_ast) Z3_dec_ref(ctx(), m_ast); m_ctx = s.m_ctx; m_ast = s.m_ast; return *this; } + Z3_ast_kind kind() const { Z3_ast_kind r = Z3_get_ast_kind(ctx(), m_ast); check_error(); return r; } + unsigned hash() const { unsigned r = Z3_get_ast_hash(ctx(), m_ast); check_error(); return r; } + friend std::ostream & operator<<(std::ostream & out, ast const & n); + std::string to_string() const { return std::string(Z3_ast_to_string(ctx(), m_ast)); } + + + /** + \brief Return true if the ASTs are structurally identical. + */ + friend bool eq(ast const & a, ast const & b); + }; + inline std::ostream & operator<<(std::ostream & out, ast const & n) { + out << Z3_ast_to_string(n.ctx(), n.m_ast); return out; + } + + inline bool eq(ast const & a, ast const & b) { return Z3_is_eq_ast(a.ctx(), a, b); } + + + /** + \brief A Z3 sort (aka type). Every expression (i.e., formula or term) in Z3 has a sort. + */ + class sort : public ast { + public: + sort(context & c):ast(c) {} + sort(context & c, Z3_sort s):ast(c, reinterpret_cast<Z3_ast>(s)) {} + sort(context & c, Z3_ast a):ast(c, a) {} + sort(sort const & s):ast(s) {} + operator Z3_sort() const { return reinterpret_cast<Z3_sort>(m_ast); } + /** + \brief Return true if this sort and \c s are equal. + */ + sort & operator=(sort const & s) { return static_cast<sort&>(ast::operator=(s)); } + /** + \brief Return the internal sort kind. + */ + Z3_sort_kind sort_kind() const { return Z3_get_sort_kind(*m_ctx, *this); } + /** + \brief Return name of sort. + */ + symbol name() const { Z3_symbol s = Z3_get_sort_name(ctx(), *this); check_error(); return symbol(ctx(), s); } + /** + \brief Return true if this sort is the Boolean sort. + */ + bool is_bool() const { return sort_kind() == Z3_BOOL_SORT; } + /** + \brief Return true if this sort is the Integer sort. + */ + bool is_int() const { return sort_kind() == Z3_INT_SORT; } + /** + \brief Return true if this sort is the Real sort. + */ + bool is_real() const { return sort_kind() == Z3_REAL_SORT; } + /** + \brief Return true if this sort is the Integer or Real sort. + */ + bool is_arith() const { return is_int() || is_real(); } + /** + \brief Return true if this sort is a Bit-vector sort. + */ + bool is_bv() const { return sort_kind() == Z3_BV_SORT; } + /** + \brief Return true if this sort is a Array sort. + */ + bool is_array() const { return sort_kind() == Z3_ARRAY_SORT; } + /** + \brief Return true if this sort is a Datatype sort. + */ + bool is_datatype() const { return sort_kind() == Z3_DATATYPE_SORT; } + /** + \brief Return true if this sort is a Relation sort. + */ + bool is_relation() const { return sort_kind() == Z3_RELATION_SORT; } + /** + \brief Return true if this sort is a Sequence sort. + */ + bool is_seq() const { return sort_kind() == Z3_SEQ_SORT; } + /** + \brief Return true if this sort is a regular expression sort. + */ + bool is_re() const { return sort_kind() == Z3_RE_SORT; } + /** + \brief Return true if this sort is a Finite domain sort. + */ + bool is_finite_domain() const { return sort_kind() == Z3_FINITE_DOMAIN_SORT; } + /** + \brief Return true if this sort is a Floating point sort. + */ + bool is_fpa() const { return sort_kind() == Z3_FLOATING_POINT_SORT; } + + /** + \brief Return the size of this Bit-vector sort. + + \pre is_bv() + */ + unsigned bv_size() const { assert(is_bv()); unsigned r = Z3_get_bv_sort_size(ctx(), *this); check_error(); return r; } + + unsigned fpa_ebits() const { assert(is_fpa()); unsigned r = Z3_fpa_get_ebits(ctx(), *this); check_error(); return r; } + + unsigned fpa_sbits() const { assert(is_fpa()); unsigned r = Z3_fpa_get_sbits(ctx(), *this); check_error(); return r; } + /** + \brief Return the domain of this Array sort. + + \pre is_array() + */ + sort array_domain() const { assert(is_array()); Z3_sort s = Z3_get_array_sort_domain(ctx(), *this); check_error(); return sort(ctx(), s); } + /** + \brief Return the range of this Array sort. + + \pre is_array() + */ + sort array_range() const { assert(is_array()); Z3_sort s = Z3_get_array_sort_range(ctx(), *this); check_error(); return sort(ctx(), s); } + }; + + /** + \brief Function declaration (aka function definition). It is the signature of interpreted and uninterpreted functions in Z3. + The basic building block in Z3 is the function application. + */ + class func_decl : public ast { + public: + func_decl(context & c):ast(c) {} + func_decl(context & c, Z3_func_decl n):ast(c, reinterpret_cast<Z3_ast>(n)) {} + func_decl(func_decl const & s):ast(s) {} + operator Z3_func_decl() const { return reinterpret_cast<Z3_func_decl>(m_ast); } + func_decl & operator=(func_decl const & s) { return static_cast<func_decl&>(ast::operator=(s)); } + + unsigned arity() const { return Z3_get_arity(ctx(), *this); } + sort domain(unsigned i) const { assert(i < arity()); Z3_sort r = Z3_get_domain(ctx(), *this, i); check_error(); return sort(ctx(), r); } + sort range() const { Z3_sort r = Z3_get_range(ctx(), *this); check_error(); return sort(ctx(), r); } + symbol name() const { Z3_symbol s = Z3_get_decl_name(ctx(), *this); check_error(); return symbol(ctx(), s); } + Z3_decl_kind decl_kind() const { return Z3_get_decl_kind(ctx(), *this); } + + bool is_const() const { return arity() == 0; } + + expr operator()() const; + expr operator()(unsigned n, expr const * args) const; + expr operator()(expr_vector const& v) const; + expr operator()(expr const & a) const; + expr operator()(int a) const; + expr operator()(expr const & a1, expr const & a2) const; + expr operator()(expr const & a1, int a2) const; + expr operator()(int a1, expr const & a2) const; + expr operator()(expr const & a1, expr const & a2, expr const & a3) const; + expr operator()(expr const & a1, expr const & a2, expr const & a3, expr const & a4) const; + expr operator()(expr const & a1, expr const & a2, expr const & a3, expr const & a4, expr const & a5) const; + }; + + /** + \brief A Z3 expression is used to represent formulas and terms. For Z3, a formula is any expression of sort Boolean. + Every expression has a sort. + */ + class expr : public ast { + public: + expr(context & c):ast(c) {} + expr(context & c, Z3_ast n):ast(c, reinterpret_cast<Z3_ast>(n)) {} + expr(expr const & n):ast(n) {} + expr & operator=(expr const & n) { return static_cast<expr&>(ast::operator=(n)); } + + /** + \brief Return the sort of this expression. + */ + sort get_sort() const { Z3_sort s = Z3_get_sort(*m_ctx, m_ast); check_error(); return sort(*m_ctx, s); } + + /** + \brief Return true if this is a Boolean expression. + */ + bool is_bool() const { return get_sort().is_bool(); } + /** + \brief Return true if this is an integer expression. + */ + bool is_int() const { return get_sort().is_int(); } + /** + \brief Return true if this is a real expression. + */ + bool is_real() const { return get_sort().is_real(); } + /** + \brief Return true if this is an integer or real expression. + */ + bool is_arith() const { return get_sort().is_arith(); } + /** + \brief Return true if this is a Bit-vector expression. + */ + bool is_bv() const { return get_sort().is_bv(); } + /** + \brief Return true if this is a Array expression. + */ + bool is_array() const { return get_sort().is_array(); } + /** + \brief Return true if this is a Datatype expression. + */ + bool is_datatype() const { return get_sort().is_datatype(); } + /** + \brief Return true if this is a Relation expression. + */ + bool is_relation() const { return get_sort().is_relation(); } + /** + \brief Return true if this is a sequence expression. + */ + bool is_seq() const { return get_sort().is_seq(); } + /** + \brief Return true if this is a regular expression. + */ + bool is_re() const { return get_sort().is_re(); } + + /** + \brief Return true if this is a Finite-domain expression. + + \remark Finite-domain is special kind of interpreted sort: + is_bool(), is_bv() and is_finite_domain() are mutually + exclusive. + + */ + bool is_finite_domain() const { return get_sort().is_finite_domain(); } + /** + \brief Return true if this is a FloatingPoint expression. . + */ + bool is_fpa() const { return get_sort().is_fpa(); } + + /** + \brief Return true if this expression is a numeral. + Specialized functions also return representations for the numerals as + small integers, 64 bit integers or rational or decimal strings. + */ + bool is_numeral() const { return kind() == Z3_NUMERAL_AST; } + bool is_numeral_i64(int64_t& i) const { bool r = Z3_get_numeral_int64(ctx(), m_ast, &i); check_error(); return r;} + bool is_numeral_u64(uint64_t& i) const { bool r = Z3_get_numeral_uint64(ctx(), m_ast, &i); check_error(); return r;} + bool is_numeral_i(int& i) const { bool r = Z3_get_numeral_int(ctx(), m_ast, &i); check_error(); return r;} + bool is_numeral_u(unsigned& i) const { bool r = Z3_get_numeral_uint(ctx(), m_ast, &i); check_error(); return r;} + bool is_numeral(std::string& s) const { if (!is_numeral()) return false; s = Z3_get_numeral_string(ctx(), m_ast); check_error(); return true; } + bool is_numeral(std::string& s, unsigned precision) const { if (!is_numeral()) return false; s = Z3_get_numeral_decimal_string(ctx(), m_ast, precision); check_error(); return true; } + bool is_numeral(double& d) const { if (!is_numeral()) return false; d = Z3_get_numeral_double(ctx(), m_ast); check_error(); return true; } + /** + \brief Return true if this expression is an application. + */ + bool is_app() const { return kind() == Z3_APP_AST || kind() == Z3_NUMERAL_AST; } + /** + \brief Return true if this expression is a constant (i.e., an application with 0 arguments). + */ + bool is_const() const { return is_app() && num_args() == 0; } + /** + \brief Return true if this expression is a quantifier. + */ + bool is_quantifier() const { return kind() == Z3_QUANTIFIER_AST; } + + /** + \brief Return true if this expression is a universal quantifier. + */ + bool is_forall() const { return Z3_is_quantifier_forall(ctx(), m_ast); } + /** + \brief Return true if this expression is an existential quantifier. + */ + bool is_exists() const { return Z3_is_quantifier_exists(ctx(), m_ast); } + /** + \brief Return true if this expression is a lambda expression. + */ + bool is_lambda() const { return Z3_is_lambda(ctx(), m_ast); } + /** + + \brief Return true if this expression is a variable. + */ + bool is_var() const { return kind() == Z3_VAR_AST; } + /** + \brief Return true if expression is an algebraic number. + */ + bool is_algebraic() const { return Z3_is_algebraic_number(ctx(), m_ast); } + + /** + \brief Return true if this expression is well sorted (aka type correct). + */ + bool is_well_sorted() const { bool r = Z3_is_well_sorted(ctx(), m_ast); check_error(); return r; } + + /** + \brief Return string representation of numeral or algebraic number + This method assumes the expression is numeral or algebraic + + \pre is_numeral() || is_algebraic() + */ + std::string get_decimal_string(int precision) const { + assert(is_numeral() || is_algebraic()); + return std::string(Z3_get_numeral_decimal_string(ctx(), m_ast, precision)); + } + + /** + \brief Return int value of numeral, throw if result cannot fit in + machine int + + It only makes sense to use this function if the caller can ensure that + the result is an integer or if exceptions are enabled. + If exceptions are disabled, then use the is_numeral_i function. + + \pre is_numeral() + */ + int get_numeral_int() const { + int result = 0; + if (!is_numeral_i(result)) { + assert(ctx().enable_exceptions()); + if (!ctx().enable_exceptions()) return 0; + Z3_THROW(exception("numeral does not fit in machine int")); + } + return result; + } + + /** + \brief Return uint value of numeral, throw if result cannot fit in + machine uint + + It only makes sense to use this function if the caller can ensure that + the result is an integer or if exceptions are enabled. + If exceptions are disabled, then use the is_numeral_u function. + \pre is_numeral() + */ + unsigned get_numeral_uint() const { + assert(is_numeral()); + unsigned result = 0; + if (!is_numeral_u(result)) { + assert(ctx().enable_exceptions()); + if (!ctx().enable_exceptions()) return 0; + Z3_THROW(exception("numeral does not fit in machine uint")); + } + return result; + } + + /** + \brief Return \c int64_t value of numeral, throw if result cannot fit in + \c int64_t. + + \pre is_numeral() + */ + int64_t get_numeral_int64() const { + assert(is_numeral()); + int64_t result = 0; + if (!is_numeral_i64(result)) { + assert(ctx().enable_exceptions()); + if (!ctx().enable_exceptions()) return 0; + Z3_THROW(exception("numeral does not fit in machine int64_t")); + } + return result; + } + + /** + \brief Return \c uint64_t value of numeral, throw if result cannot fit in + \c uint64_t. + + \pre is_numeral() + */ + uint64_t get_numeral_uint64() const { + assert(is_numeral()); + uint64_t result = 0; + if (!is_numeral_u64(result)) { + assert(ctx().enable_exceptions()); + if (!ctx().enable_exceptions()) return 0; + Z3_THROW(exception("numeral does not fit in machine uint64_t")); + } + return result; + } + + Z3_lbool bool_value() const { + return Z3_get_bool_value(ctx(), m_ast); + } + + expr numerator() const { + assert(is_numeral()); + Z3_ast r = Z3_get_numerator(ctx(), m_ast); + check_error(); + return expr(ctx(),r); + } + + + expr denominator() const { + assert(is_numeral()); + Z3_ast r = Z3_get_denominator(ctx(), m_ast); + check_error(); + return expr(ctx(),r); + } + + operator Z3_app() const { assert(is_app()); return reinterpret_cast<Z3_app>(m_ast); } + + /** + \brief Return a RoundingMode sort. + */ + sort fpa_rounding_mode() { + assert(is_fpa()); + Z3_sort s = ctx().fpa_rounding_mode(); + check_error(); + return sort(ctx(), s); + } + + + /** + \brief Return the declaration associated with this application. + This method assumes the expression is an application. + + \pre is_app() + */ + func_decl decl() const { Z3_func_decl f = Z3_get_app_decl(ctx(), *this); check_error(); return func_decl(ctx(), f); } + /** + \brief Return the number of arguments in this application. + This method assumes the expression is an application. + + \pre is_app() + */ + unsigned num_args() const { unsigned r = Z3_get_app_num_args(ctx(), *this); check_error(); return r; } + /** + \brief Return the i-th argument of this application. + This method assumes the expression is an application. + + \pre is_app() + \pre i < num_args() + */ + expr arg(unsigned i) const { Z3_ast r = Z3_get_app_arg(ctx(), *this, i); check_error(); return expr(ctx(), r); } + + /** + \brief Return the 'body' of this quantifier. + + \pre is_quantifier() + */ + expr body() const { assert(is_quantifier()); Z3_ast r = Z3_get_quantifier_body(ctx(), *this); check_error(); return expr(ctx(), r); } + + /** + \brief Return an expression representing <tt>not(a)</tt>. + + \pre a.is_bool() + */ + friend expr operator!(expr const & a); + + /** + \brief Return an expression representing <tt>a and b</tt>. + + \pre a.is_bool() + \pre b.is_bool() + */ + friend expr operator&&(expr const & a, expr const & b); + + + /** + \brief Return an expression representing <tt>a and b</tt>. + The C++ Boolean value \c b is automatically converted into a Z3 Boolean constant. + + \pre a.is_bool() + */ + friend expr operator&&(expr const & a, bool b); + /** + \brief Return an expression representing <tt>a and b</tt>. + The C++ Boolean value \c a is automatically converted into a Z3 Boolean constant. + + \pre b.is_bool() + */ + friend expr operator&&(bool a, expr const & b); + + /** + \brief Return an expression representing <tt>a or b</tt>. + + \pre a.is_bool() + \pre b.is_bool() + */ + friend expr operator||(expr const & a, expr const & b); + /** + \brief Return an expression representing <tt>a or b</tt>. + The C++ Boolean value \c b is automatically converted into a Z3 Boolean constant. + + \pre a.is_bool() + */ + friend expr operator||(expr const & a, bool b); + + /** + \brief Return an expression representing <tt>a or b</tt>. + The C++ Boolean value \c a is automatically converted into a Z3 Boolean constant. + + \pre b.is_bool() + */ + friend expr operator||(bool a, expr const & b); + + friend expr implies(expr const & a, expr const & b); + friend expr implies(expr const & a, bool b); + friend expr implies(bool a, expr const & b); + + friend expr mk_or(expr_vector const& args); + friend expr mk_and(expr_vector const& args); + + friend expr ite(expr const & c, expr const & t, expr const & e); + + bool is_true() const { return is_app() && Z3_OP_TRUE == decl().decl_kind(); } + bool is_false() const { return is_app() && Z3_OP_FALSE == decl().decl_kind(); } + bool is_not() const { return is_app() && Z3_OP_NOT == decl().decl_kind(); } + bool is_and() const { return is_app() && Z3_OP_AND == decl().decl_kind(); } + bool is_or() const { return is_app() && Z3_OP_OR == decl().decl_kind(); } + bool is_xor() const { return is_app() && Z3_OP_XOR == decl().decl_kind(); } + bool is_implies() const { return is_app() && Z3_OP_IMPLIES == decl().decl_kind(); } + bool is_eq() const { return is_app() && Z3_OP_EQ == decl().decl_kind(); } + bool is_ite() const { return is_app() && Z3_OP_ITE == decl().decl_kind(); } + + friend expr distinct(expr_vector const& args); + friend expr concat(expr const& a, expr const& b); + friend expr concat(expr_vector const& args); + + friend expr operator==(expr const & a, expr const & b); + friend expr operator==(expr const & a, int b); + friend expr operator==(int a, expr const & b); + + friend expr operator!=(expr const & a, expr const & b); + friend expr operator!=(expr const & a, int b); + friend expr operator!=(int a, expr const & b); + + friend expr operator+(expr const & a, expr const & b); + friend expr operator+(expr const & a, int b); + friend expr operator+(int a, expr const & b); + friend expr sum(expr_vector const& args); + + friend expr operator*(expr const & a, expr const & b); + friend expr operator*(expr const & a, int b); + friend expr operator*(int a, expr const & b); + + /* \brief Power operator */ + friend expr pw(expr const & a, expr const & b); + friend expr pw(expr const & a, int b); + friend expr pw(int a, expr const & b); + + /* \brief mod operator */ + friend expr mod(expr const& a, expr const& b); + friend expr mod(expr const& a, int b); + friend expr mod(int a, expr const& b); + + /* \brief rem operator */ + friend expr rem(expr const& a, expr const& b); + friend expr rem(expr const& a, int b); + friend expr rem(int a, expr const& b); + + friend expr is_int(expr const& e); + + friend expr operator/(expr const & a, expr const & b); + friend expr operator/(expr const & a, int b); + friend expr operator/(int a, expr const & b); + + friend expr operator-(expr const & a); + + friend expr operator-(expr const & a, expr const & b); + friend expr operator-(expr const & a, int b); + friend expr operator-(int a, expr const & b); + + friend expr operator<=(expr const & a, expr const & b); + friend expr operator<=(expr const & a, int b); + friend expr operator<=(int a, expr const & b); + + + friend expr operator>=(expr const & a, expr const & b); + friend expr operator>=(expr const & a, int b); + friend expr operator>=(int a, expr const & b); + + friend expr operator<(expr const & a, expr const & b); + friend expr operator<(expr const & a, int b); + friend expr operator<(int a, expr const & b); + + friend expr operator>(expr const & a, expr const & b); + friend expr operator>(expr const & a, int b); + friend expr operator>(int a, expr const & b); + + friend expr pble(expr_vector const& es, int const * coeffs, int bound); + friend expr pbge(expr_vector const& es, int const * coeffs, int bound); + friend expr pbeq(expr_vector const& es, int const * coeffs, int bound); + friend expr atmost(expr_vector const& es, unsigned bound); + friend expr atleast(expr_vector const& es, unsigned bound); + + friend expr operator&(expr const & a, expr const & b); + friend expr operator&(expr const & a, int b); + friend expr operator&(int a, expr const & b); + + friend expr operator^(expr const & a, expr const & b); + friend expr operator^(expr const & a, int b); + friend expr operator^(int a, expr const & b); + + friend expr operator|(expr const & a, expr const & b); + friend expr operator|(expr const & a, int b); + friend expr operator|(int a, expr const & b); + friend expr nand(expr const& a, expr const& b); + friend expr nor(expr const& a, expr const& b); + friend expr xnor(expr const& a, expr const& b); + + friend expr min(expr const& a, expr const& b); + friend expr max(expr const& a, expr const& b); + + expr rotate_left(unsigned i) { Z3_ast r = Z3_mk_rotate_left(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); } + expr rotate_right(unsigned i) { Z3_ast r = Z3_mk_rotate_right(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); } + expr repeat(unsigned i) { Z3_ast r = Z3_mk_repeat(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); } + + friend expr abs(expr const & a); + friend expr sqrt(expr const & a, expr const & rm); + + friend expr operator~(expr const & a); + expr extract(unsigned hi, unsigned lo) const { Z3_ast r = Z3_mk_extract(ctx(), hi, lo, *this); ctx().check_error(); return expr(ctx(), r); } + unsigned lo() const { assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 1)); } + unsigned hi() const { assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 0)); } + + /** + \brief FloatingPoint fused multiply-add. + */ + friend expr fma(expr const& a, expr const& b, expr const& c); + + /** + \brief sequence and regular expression operations. + + is overloaded as sequence concatenation and regular expression union. + concat is overloaded to handle sequences and regular expressions + */ + expr extract(expr const& offset, expr const& length) const { + check_context(*this, offset); check_context(offset, length); + Z3_ast r = Z3_mk_seq_extract(ctx(), *this, offset, length); check_error(); return expr(ctx(), r); + } + expr replace(expr const& src, expr const& dst) const { + check_context(*this, src); check_context(src, dst); + Z3_ast r = Z3_mk_seq_replace(ctx(), *this, src, dst); + check_error(); + return expr(ctx(), r); + } + expr unit() const { + Z3_ast r = Z3_mk_seq_unit(ctx(), *this); + check_error(); + return expr(ctx(), r); + } + expr contains(expr const& s) { + check_context(*this, s); + Z3_ast r = Z3_mk_seq_contains(ctx(), *this, s); + check_error(); + return expr(ctx(), r); + } + expr at(expr const& index) const { + check_context(*this, index); + Z3_ast r = Z3_mk_seq_at(ctx(), *this, index); + check_error(); + return expr(ctx(), r); + } + expr length() const { + Z3_ast r = Z3_mk_seq_length(ctx(), *this); + check_error(); + return expr(ctx(), r); + } + expr stoi() const { + Z3_ast r = Z3_mk_str_to_int(ctx(), *this); + check_error(); + return expr(ctx(), r); + } + expr itos() const { + Z3_ast r = Z3_mk_int_to_str(ctx(), *this); + check_error(); + return expr(ctx(), r); + } + + friend expr range(expr const& lo, expr const& hi); + /** + \brief create a looping regular expression. + */ + expr loop(unsigned lo) { + Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, 0); + check_error(); + return expr(ctx(), r); + } + expr loop(unsigned lo, unsigned hi) { + Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, hi); + check_error(); + return expr(ctx(), r); + } + + + /** + \brief Return a simplified version of this expression. + */ + expr simplify() const { Z3_ast r = Z3_simplify(ctx(), m_ast); check_error(); return expr(ctx(), r); } + /** + \brief Return a simplified version of this expression. The parameter \c p is a set of parameters for the Z3 simplifier. + */ + expr simplify(params const & p) const { Z3_ast r = Z3_simplify_ex(ctx(), m_ast, p); check_error(); return expr(ctx(), r); } + + /** + \brief Apply substitution. Replace src expressions by dst. + */ + expr substitute(expr_vector const& src, expr_vector const& dst); + + /** + \brief Apply substitution. Replace bound variables by expressions. + */ + expr substitute(expr_vector const& dst); + + }; + +#define _Z3_MK_BIN_(a, b, binop) \ + check_context(a, b); \ + Z3_ast r = binop(a.ctx(), a, b); \ + a.check_error(); \ + return expr(a.ctx(), r); \ + + + inline expr implies(expr const & a, expr const & b) { + assert(a.is_bool() && b.is_bool()); + _Z3_MK_BIN_(a, b, Z3_mk_implies); + } + inline expr implies(expr const & a, bool b) { return implies(a, a.ctx().bool_val(b)); } + inline expr implies(bool a, expr const & b) { return implies(b.ctx().bool_val(a), b); } + + + inline expr pw(expr const & a, expr const & b) { _Z3_MK_BIN_(a, b, Z3_mk_power); } + inline expr pw(expr const & a, int b) { return pw(a, a.ctx().num_val(b, a.get_sort())); } + inline expr pw(int a, expr const & b) { return pw(b.ctx().num_val(a, b.get_sort()), b); } + + inline expr mod(expr const& a, expr const& b) { _Z3_MK_BIN_(a, b, Z3_mk_mod); } + inline expr mod(expr const & a, int b) { return mod(a, a.ctx().num_val(b, a.get_sort())); } + inline expr mod(int a, expr const & b) { return mod(b.ctx().num_val(a, b.get_sort()), b); } + + inline expr rem(expr const& a, expr const& b) { + if (a.is_fpa() && b.is_fpa()) { + _Z3_MK_BIN_(a, b, Z3_mk_fpa_rem); + } else { + _Z3_MK_BIN_(a, b, Z3_mk_rem); + } + } + inline expr rem(expr const & a, int b) { return rem(a, a.ctx().num_val(b, a.get_sort())); } + inline expr rem(int a, expr const & b) { return rem(b.ctx().num_val(a, b.get_sort()), b); } + +#undef _Z3_MK_BIN_ + +#define _Z3_MK_UN_(a, mkun) \ + Z3_ast r = mkun(a.ctx(), a); \ + a.check_error(); \ + return expr(a.ctx(), r); \ + + + inline expr operator!(expr const & a) { assert(a.is_bool()); _Z3_MK_UN_(a, Z3_mk_not); } + + inline expr is_int(expr const& e) { _Z3_MK_UN_(e, Z3_mk_is_int); } + +#undef _Z3_MK_UN_ + + inline expr operator&&(expr const & a, expr const & b) { + check_context(a, b); + assert(a.is_bool() && b.is_bool()); + Z3_ast args[2] = { a, b }; + Z3_ast r = Z3_mk_and(a.ctx(), 2, args); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr operator&&(expr const & a, bool b) { return a && a.ctx().bool_val(b); } + inline expr operator&&(bool a, expr const & b) { return b.ctx().bool_val(a) && b; } + + inline expr operator||(expr const & a, expr const & b) { + check_context(a, b); + assert(a.is_bool() && b.is_bool()); + Z3_ast args[2] = { a, b }; + Z3_ast r = Z3_mk_or(a.ctx(), 2, args); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr operator||(expr const & a, bool b) { return a || a.ctx().bool_val(b); } + + inline expr operator||(bool a, expr const & b) { return b.ctx().bool_val(a) || b; } + + inline expr operator==(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = Z3_mk_eq(a.ctx(), a, b); + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator==(expr const & a, int b) { assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a == a.ctx().num_val(b, a.get_sort()); } + inline expr operator==(int a, expr const & b) { assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) == b; } + + inline expr operator!=(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast args[2] = { a, b }; + Z3_ast r = Z3_mk_distinct(a.ctx(), 2, args); + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator!=(expr const & a, int b) { assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a != a.ctx().num_val(b, a.get_sort()); } + inline expr operator!=(int a, expr const & b) { assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) != b; } + + inline expr operator+(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + Z3_ast args[2] = { a, b }; + r = Z3_mk_add(a.ctx(), 2, args); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvadd(a.ctx(), a, b); + } + else if (a.is_seq() && b.is_seq()) { + return concat(a, b); + } + else if (a.is_re() && b.is_re()) { + Z3_ast _args[2] = { a, b }; + r = Z3_mk_re_union(a.ctx(), 2, _args); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_add(a.ctx(), a.ctx().fpa_rounding_mode(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator+(expr const & a, int b) { return a + a.ctx().num_val(b, a.get_sort()); } + inline expr operator+(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) + b; } + + inline expr operator*(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + Z3_ast args[2] = { a, b }; + r = Z3_mk_mul(a.ctx(), 2, args); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvmul(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_mul(a.ctx(), a.ctx().fpa_rounding_mode(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator*(expr const & a, int b) { return a * a.ctx().num_val(b, a.get_sort()); } + inline expr operator*(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) * b; } + + + inline expr operator>=(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + r = Z3_mk_ge(a.ctx(), a, b); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvsge(a.ctx(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr operator/(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + r = Z3_mk_div(a.ctx(), a, b); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvsdiv(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_div(a.ctx(), a.ctx().fpa_rounding_mode(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator/(expr const & a, int b) { return a / a.ctx().num_val(b, a.get_sort()); } + inline expr operator/(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) / b; } + + inline expr operator-(expr const & a) { + Z3_ast r = 0; + if (a.is_arith()) { + r = Z3_mk_unary_minus(a.ctx(), a); + } + else if (a.is_bv()) { + r = Z3_mk_bvneg(a.ctx(), a); + } + else if (a.is_fpa()) { + r = Z3_mk_fpa_neg(a.ctx(), a); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr operator-(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + Z3_ast args[2] = { a, b }; + r = Z3_mk_sub(a.ctx(), 2, args); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvsub(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_sub(a.ctx(), a.ctx().fpa_rounding_mode(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator-(expr const & a, int b) { return a - a.ctx().num_val(b, a.get_sort()); } + inline expr operator-(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) - b; } + + inline expr operator<=(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + r = Z3_mk_le(a.ctx(), a, b); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvsle(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_leq(a.ctx(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator<=(expr const & a, int b) { return a <= a.ctx().num_val(b, a.get_sort()); } + inline expr operator<=(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) <= b; } + + inline expr operator>=(expr const & a, int b) { return a >= a.ctx().num_val(b, a.get_sort()); } + inline expr operator>=(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) >= b; } + + inline expr operator<(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + r = Z3_mk_lt(a.ctx(), a, b); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvslt(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_lt(a.ctx(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator<(expr const & a, int b) { return a < a.ctx().num_val(b, a.get_sort()); } + inline expr operator<(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) < b; } + + inline expr operator>(expr const & a, expr const & b) { + check_context(a, b); + Z3_ast r = 0; + if (a.is_arith() && b.is_arith()) { + r = Z3_mk_gt(a.ctx(), a, b); + } + else if (a.is_bv() && b.is_bv()) { + r = Z3_mk_bvsgt(a.ctx(), a, b); + } + else if (a.is_fpa() && b.is_fpa()) { + r = Z3_mk_fpa_gt(a.ctx(), a, b); + } + else { + // operator is not supported by given arguments. + assert(false); + } + a.check_error(); + return expr(a.ctx(), r); + } + inline expr operator>(expr const & a, int b) { return a > a.ctx().num_val(b, a.get_sort()); } + inline expr operator>(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) > b; } + + inline expr operator&(expr const & a, expr const & b) { check_context(a, b); Z3_ast r = Z3_mk_bvand(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr operator&(expr const & a, int b) { return a & a.ctx().num_val(b, a.get_sort()); } + inline expr operator&(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) & b; } + + inline expr operator^(expr const & a, expr const & b) { check_context(a, b); Z3_ast r = Z3_mk_bvxor(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr operator^(expr const & a, int b) { return a ^ a.ctx().num_val(b, a.get_sort()); } + inline expr operator^(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) ^ b; } + + inline expr operator|(expr const & a, expr const & b) { check_context(a, b); Z3_ast r = Z3_mk_bvor(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr operator|(expr const & a, int b) { return a | a.ctx().num_val(b, a.get_sort()); } + inline expr operator|(int a, expr const & b) { return b.ctx().num_val(a, b.get_sort()) | b; } + + inline expr nand(expr const& a, expr const& b) { check_context(a, b); Z3_ast r = Z3_mk_bvnand(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr nor(expr const& a, expr const& b) { check_context(a, b); Z3_ast r = Z3_mk_bvnor(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr xnor(expr const& a, expr const& b) { check_context(a, b); Z3_ast r = Z3_mk_bvxnor(a.ctx(), a, b); return expr(a.ctx(), r); } + inline expr min(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast r; + if (a.is_arith()) { + r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), b, a); + } + else if (a.is_bv()) { + r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), b, a); + } + else { + assert(a.is_fpa()); + r = Z3_mk_fpa_min(a.ctx(), a, b); + } + return expr(a.ctx(), r); + } + inline expr max(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast r; + if (a.is_arith()) { + r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), a, b); + } + else if (a.is_bv()) { + r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), a, b); + } + else { + assert(a.is_fpa()); + r = Z3_mk_fpa_max(a.ctx(), a, b); + } + return expr(a.ctx(), r); + } + inline expr abs(expr const & a) { + Z3_ast r; + if (a.is_int()) { + expr zero = a.ctx().int_val(0); + r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, zero), a, -a); + } + else if (a.is_real()) { + expr zero = a.ctx().real_val(0); + r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, zero), a, -a); + } + else { + r = Z3_mk_fpa_abs(a.ctx(), a); + } + return expr(a.ctx(), r); + } + inline expr sqrt(expr const & a, expr const& rm) { + check_context(a, rm); + assert(a.is_fpa()); + Z3_ast r = Z3_mk_fpa_sqrt(a.ctx(), rm, a); + return expr(a.ctx(), r); + } + inline expr operator~(expr const & a) { Z3_ast r = Z3_mk_bvnot(a.ctx(), a); return expr(a.ctx(), r); } + + inline expr fma(expr const& a, expr const& b, expr const& c, expr const& rm) { + check_context(a, b); check_context(a, c); check_context(a, rm); + assert(a.is_fpa() && b.is_fpa() && c.is_fpa()); + Z3_ast r = Z3_mk_fpa_fma(a.ctx(), rm, a, b, c); + a.check_error(); + return expr(a.ctx(), r); + } + + /** + \brief Create the if-then-else expression <tt>ite(c, t, e)</tt> + + \pre c.is_bool() + */ + inline expr ite(expr const & c, expr const & t, expr const & e) { + check_context(c, t); check_context(c, e); + assert(c.is_bool()); + Z3_ast r = Z3_mk_ite(c.ctx(), c, t, e); + c.check_error(); + return expr(c.ctx(), r); + } + + + /** + \brief Wraps a Z3_ast as an expr object. It also checks for errors. + This function allows the user to use the whole C API with the C++ layer defined in this file. + */ + inline expr to_expr(context & c, Z3_ast a) { + c.check_error(); + assert(Z3_get_ast_kind(c, a) == Z3_APP_AST || + Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST || + Z3_get_ast_kind(c, a) == Z3_VAR_AST || + Z3_get_ast_kind(c, a) == Z3_QUANTIFIER_AST); + return expr(c, a); + } + + inline sort to_sort(context & c, Z3_sort s) { + c.check_error(); + return sort(c, s); + } + + inline func_decl to_func_decl(context & c, Z3_func_decl f) { + c.check_error(); + return func_decl(c, f); + } + + /** + \brief unsigned less than or equal to operator for bitvectors. + */ + inline expr ule(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvule(a.ctx(), a, b)); } + inline expr ule(expr const & a, int b) { return ule(a, a.ctx().num_val(b, a.get_sort())); } + inline expr ule(int a, expr const & b) { return ule(b.ctx().num_val(a, b.get_sort()), b); } + /** + \brief unsigned less than operator for bitvectors. + */ + inline expr ult(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvult(a.ctx(), a, b)); } + inline expr ult(expr const & a, int b) { return ult(a, a.ctx().num_val(b, a.get_sort())); } + inline expr ult(int a, expr const & b) { return ult(b.ctx().num_val(a, b.get_sort()), b); } + /** + \brief unsigned greater than or equal to operator for bitvectors. + */ + inline expr uge(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b)); } + inline expr uge(expr const & a, int b) { return uge(a, a.ctx().num_val(b, a.get_sort())); } + inline expr uge(int a, expr const & b) { return uge(b.ctx().num_val(a, b.get_sort()), b); } + /** + \brief unsigned greater than operator for bitvectors. + */ + inline expr ugt(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvugt(a.ctx(), a, b)); } + inline expr ugt(expr const & a, int b) { return ugt(a, a.ctx().num_val(b, a.get_sort())); } + inline expr ugt(int a, expr const & b) { return ugt(b.ctx().num_val(a, b.get_sort()), b); } + /** + \brief unsigned division operator for bitvectors. + */ + inline expr udiv(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvudiv(a.ctx(), a, b)); } + inline expr udiv(expr const & a, int b) { return udiv(a, a.ctx().num_val(b, a.get_sort())); } + inline expr udiv(int a, expr const & b) { return udiv(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief signed remainder operator for bitvectors + */ + inline expr srem(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvsrem(a.ctx(), a, b)); } + inline expr srem(expr const & a, int b) { return srem(a, a.ctx().num_val(b, a.get_sort())); } + inline expr srem(int a, expr const & b) { return srem(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief signed modulus operator for bitvectors + */ + inline expr smod(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvsmod(a.ctx(), a, b)); } + inline expr smod(expr const & a, int b) { return smod(a, a.ctx().num_val(b, a.get_sort())); } + inline expr smod(int a, expr const & b) { return smod(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief unsigned reminder operator for bitvectors + */ + inline expr urem(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvurem(a.ctx(), a, b)); } + inline expr urem(expr const & a, int b) { return urem(a, a.ctx().num_val(b, a.get_sort())); } + inline expr urem(int a, expr const & b) { return urem(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief shift left operator for bitvectors + */ + inline expr shl(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvshl(a.ctx(), a, b)); } + inline expr shl(expr const & a, int b) { return shl(a, a.ctx().num_val(b, a.get_sort())); } + inline expr shl(int a, expr const & b) { return shl(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief logic shift right operator for bitvectors + */ + inline expr lshr(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvlshr(a.ctx(), a, b)); } + inline expr lshr(expr const & a, int b) { return lshr(a, a.ctx().num_val(b, a.get_sort())); } + inline expr lshr(int a, expr const & b) { return lshr(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief arithmetic shift right operator for bitvectors + */ + inline expr ashr(expr const & a, expr const & b) { return to_expr(a.ctx(), Z3_mk_bvashr(a.ctx(), a, b)); } + inline expr ashr(expr const & a, int b) { return ashr(a, a.ctx().num_val(b, a.get_sort())); } + inline expr ashr(int a, expr const & b) { return ashr(b.ctx().num_val(a, b.get_sort()), b); } + + /** + \brief Extend the given bit-vector with zeros to the (unsigned) equivalent bitvector of size m+i, where m is the size of the given bit-vector. + */ + inline expr zext(expr const & a, unsigned i) { return to_expr(a.ctx(), Z3_mk_zero_ext(a.ctx(), i, a)); } + + /** + \brief Sign-extend of the given bit-vector to the (signed) equivalent bitvector of size m+i, where m is the size of the given bit-vector. + */ + inline expr sext(expr const & a, unsigned i) { return to_expr(a.ctx(), Z3_mk_sign_ext(a.ctx(), i, a)); } + + template<typename T> class cast_ast; + + template<> class cast_ast<ast> { + public: + ast operator()(context & c, Z3_ast a) { return ast(c, a); } + }; + + template<> class cast_ast<expr> { + public: + expr operator()(context & c, Z3_ast a) { + assert(Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST || + Z3_get_ast_kind(c, a) == Z3_APP_AST || + Z3_get_ast_kind(c, a) == Z3_QUANTIFIER_AST || + Z3_get_ast_kind(c, a) == Z3_VAR_AST); + return expr(c, a); + } + }; + + template<> class cast_ast<sort> { + public: + sort operator()(context & c, Z3_ast a) { + assert(Z3_get_ast_kind(c, a) == Z3_SORT_AST); + return sort(c, reinterpret_cast<Z3_sort>(a)); + } + }; + + template<> class cast_ast<func_decl> { + public: + func_decl operator()(context & c, Z3_ast a) { + assert(Z3_get_ast_kind(c, a) == Z3_FUNC_DECL_AST); + return func_decl(c, reinterpret_cast<Z3_func_decl>(a)); + } + }; + + template<typename T> + class ast_vector_tpl : public object { + Z3_ast_vector m_vector; + void init(Z3_ast_vector v) { Z3_ast_vector_inc_ref(ctx(), v); m_vector = v; } + public: + ast_vector_tpl(context & c):object(c) { init(Z3_mk_ast_vector(c)); } + ast_vector_tpl(context & c, Z3_ast_vector v):object(c) { init(v); } + ast_vector_tpl(ast_vector_tpl const & s):object(s), m_vector(s.m_vector) { Z3_ast_vector_inc_ref(ctx(), m_vector); } + ~ast_vector_tpl() { Z3_ast_vector_dec_ref(ctx(), m_vector); } + operator Z3_ast_vector() const { return m_vector; } + unsigned size() const { return Z3_ast_vector_size(ctx(), m_vector); } + T operator[](int i) const { assert(0 <= i); Z3_ast r = Z3_ast_vector_get(ctx(), m_vector, i); check_error(); return cast_ast<T>()(ctx(), r); } + void push_back(T const & e) { Z3_ast_vector_push(ctx(), m_vector, e); check_error(); } + void resize(unsigned sz) { Z3_ast_vector_resize(ctx(), m_vector, sz); check_error(); } + T back() const { return operator[](size() - 1); } + void pop_back() { assert(size() > 0); resize(size() - 1); } + bool empty() const { return size() == 0; } + ast_vector_tpl & operator=(ast_vector_tpl const & s) { + Z3_ast_vector_inc_ref(s.ctx(), s.m_vector); + Z3_ast_vector_dec_ref(ctx(), m_vector); + m_ctx = s.m_ctx; + m_vector = s.m_vector; + return *this; + } + /* + Disabled pending C++98 build upgrade + bool contains(T const& x) const { + for (T y : *this) if (eq(x, y)) return true; + return false; + } + */ + + class iterator { + ast_vector_tpl const* m_vector; + unsigned m_index; + public: + iterator(ast_vector_tpl const* v, unsigned i): m_vector(v), m_index(i) {} + iterator(iterator& other): m_vector(other.m_vector), m_index(other.m_index) {} + iterator operator=(iterator const& other) { m_vector = other.m_vector; m_index = other.m_index; return *this; } + + bool operator==(iterator const& other) { + return other.m_index == m_index; + }; + bool operator!=(iterator const& other) { + return other.m_index != m_index; + }; + iterator& operator++() { + ++m_index; + return *this; + } + iterator operator++(int) { iterator tmp = *this; ++m_index; return tmp; } + T * operator->() const { return &(operator*()); } + T operator*() const { return (*m_vector)[m_index]; } + }; + iterator begin() const { return iterator(this, 0); } + iterator end() const { return iterator(this, size()); } + friend std::ostream & operator<<(std::ostream & out, ast_vector_tpl const & v) { out << Z3_ast_vector_to_string(v.ctx(), v); return out; } + }; + + + template<typename T> + template<typename T2> + array<T>::array(ast_vector_tpl<T2> const & v) { + m_array = new T[v.size()]; + m_size = v.size(); + for (unsigned i = 0; i < m_size; i++) { + m_array[i] = v[i]; + } + } + + // Basic functions for creating quantified formulas. + // The C API should be used for creating quantifiers with patterns, weights, many variables, etc. + inline expr forall(expr const & x, expr const & b) { + check_context(x, b); + Z3_app vars[] = {(Z3_app) x}; + Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 1, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr forall(expr const & x1, expr const & x2, expr const & b) { + check_context(x1, b); check_context(x2, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2}; + Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 2, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr forall(expr const & x1, expr const & x2, expr const & x3, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 }; + Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 3, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr forall(expr const & x1, expr const & x2, expr const & x3, expr const & x4, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); check_context(x4, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 }; + Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 4, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr forall(expr_vector const & xs, expr const & b) { + array<Z3_app> vars(xs); + Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, vars.size(), vars.ptr(), 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr exists(expr const & x, expr const & b) { + check_context(x, b); + Z3_app vars[] = {(Z3_app) x}; + Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 1, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr exists(expr const & x1, expr const & x2, expr const & b) { + check_context(x1, b); check_context(x2, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2}; + Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 2, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr exists(expr const & x1, expr const & x2, expr const & x3, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 }; + Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 3, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr exists(expr const & x1, expr const & x2, expr const & x3, expr const & x4, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); check_context(x4, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 }; + Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 4, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr exists(expr_vector const & xs, expr const & b) { + array<Z3_app> vars(xs); + Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, vars.size(), vars.ptr(), 0, 0, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr lambda(expr const & x, expr const & b) { + check_context(x, b); + Z3_app vars[] = {(Z3_app) x}; + Z3_ast r = Z3_mk_lambda_const(b.ctx(), 1, vars, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr lambda(expr const & x1, expr const & x2, expr const & b) { + check_context(x1, b); check_context(x2, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2}; + Z3_ast r = Z3_mk_lambda_const(b.ctx(), 2, vars, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr lambda(expr const & x1, expr const & x2, expr const & x3, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 }; + Z3_ast r = Z3_mk_lambda_const(b.ctx(), 3, vars, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr lambda(expr const & x1, expr const & x2, expr const & x3, expr const & x4, expr const & b) { + check_context(x1, b); check_context(x2, b); check_context(x3, b); check_context(x4, b); + Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 }; + Z3_ast r = Z3_mk_lambda_const(b.ctx(), 4, vars, b); b.check_error(); return expr(b.ctx(), r); + } + inline expr lambda(expr_vector const & xs, expr const & b) { + array<Z3_app> vars(xs); + Z3_ast r = Z3_mk_lambda_const(b.ctx(), vars.size(), vars.ptr(), b); b.check_error(); return expr(b.ctx(), r); + } + + inline expr pble(expr_vector const& es, int const* coeffs, int bound) { + assert(es.size() > 0); + context& ctx = es[0].ctx(); + array<Z3_ast> _es(es); + Z3_ast r = Z3_mk_pble(ctx, _es.size(), _es.ptr(), coeffs, bound); + ctx.check_error(); + return expr(ctx, r); + } + inline expr pbge(expr_vector const& es, int const* coeffs, int bound) { + assert(es.size() > 0); + context& ctx = es[0].ctx(); + array<Z3_ast> _es(es); + Z3_ast r = Z3_mk_pbge(ctx, _es.size(), _es.ptr(), coeffs, bound); + ctx.check_error(); + return expr(ctx, r); + } + inline expr pbeq(expr_vector const& es, int const* coeffs, int bound) { + assert(es.size() > 0); + context& ctx = es[0].ctx(); + array<Z3_ast> _es(es); + Z3_ast r = Z3_mk_pbeq(ctx, _es.size(), _es.ptr(), coeffs, bound); + ctx.check_error(); + return expr(ctx, r); + } + inline expr atmost(expr_vector const& es, unsigned bound) { + assert(es.size() > 0); + context& ctx = es[0].ctx(); + array<Z3_ast> _es(es); + Z3_ast r = Z3_mk_atmost(ctx, _es.size(), _es.ptr(), bound); + ctx.check_error(); + return expr(ctx, r); + } + inline expr atleast(expr_vector const& es, unsigned bound) { + assert(es.size() > 0); + context& ctx = es[0].ctx(); + array<Z3_ast> _es(es); + Z3_ast r = Z3_mk_atleast(ctx, _es.size(), _es.ptr(), bound); + ctx.check_error(); + return expr(ctx, r); + } + inline expr sum(expr_vector const& args) { + assert(args.size() > 0); + context& ctx = args[0].ctx(); + array<Z3_ast> _args(args); + Z3_ast r = Z3_mk_add(ctx, _args.size(), _args.ptr()); + ctx.check_error(); + return expr(ctx, r); + } + + inline expr distinct(expr_vector const& args) { + assert(args.size() > 0); + context& ctx = args[0].ctx(); + array<Z3_ast> _args(args); + Z3_ast r = Z3_mk_distinct(ctx, _args.size(), _args.ptr()); + ctx.check_error(); + return expr(ctx, r); + } + + inline expr concat(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast r; + if (Z3_is_seq_sort(a.ctx(), a.get_sort())) { + Z3_ast _args[2] = { a, b }; + r = Z3_mk_seq_concat(a.ctx(), 2, _args); + } + else if (Z3_is_re_sort(a.ctx(), a.get_sort())) { + Z3_ast _args[2] = { a, b }; + r = Z3_mk_re_concat(a.ctx(), 2, _args); + } + else { + r = Z3_mk_concat(a.ctx(), a, b); + } + a.ctx().check_error(); + return expr(a.ctx(), r); + } + + inline expr concat(expr_vector const& args) { + Z3_ast r; + assert(args.size() > 0); + if (args.size() == 1) { + return args[0]; + } + context& ctx = args[0].ctx(); + array<Z3_ast> _args(args); + if (Z3_is_seq_sort(ctx, args[0].get_sort())) { + r = Z3_mk_seq_concat(ctx, _args.size(), _args.ptr()); + } + else if (Z3_is_re_sort(ctx, args[0].get_sort())) { + r = Z3_mk_re_concat(ctx, _args.size(), _args.ptr()); + } + else { + r = _args[args.size()-1]; + for (unsigned i = args.size()-1; i > 0; ) { + --i; + r = Z3_mk_concat(ctx, _args[i], r); + ctx.check_error(); + } + } + ctx.check_error(); + return expr(ctx, r); + } + + inline expr mk_or(expr_vector const& args) { + array<Z3_ast> _args(args); + Z3_ast r = Z3_mk_or(args.ctx(), _args.size(), _args.ptr()); + args.check_error(); + return expr(args.ctx(), r); + } + inline expr mk_and(expr_vector const& args) { + array<Z3_ast> _args(args); + Z3_ast r = Z3_mk_and(args.ctx(), _args.size(), _args.ptr()); + args.check_error(); + return expr(args.ctx(), r); + } + + + class func_entry : public object { + Z3_func_entry m_entry; + void init(Z3_func_entry e) { + m_entry = e; + Z3_func_entry_inc_ref(ctx(), m_entry); + } + public: + func_entry(context & c, Z3_func_entry e):object(c) { init(e); } + func_entry(func_entry const & s):object(s) { init(s.m_entry); } + ~func_entry() { Z3_func_entry_dec_ref(ctx(), m_entry); } + operator Z3_func_entry() const { return m_entry; } + func_entry & operator=(func_entry const & s) { + Z3_func_entry_inc_ref(s.ctx(), s.m_entry); + Z3_func_entry_dec_ref(ctx(), m_entry); + m_ctx = s.m_ctx; + m_entry = s.m_entry; + return *this; + } + expr value() const { Z3_ast r = Z3_func_entry_get_value(ctx(), m_entry); check_error(); return expr(ctx(), r); } + unsigned num_args() const { unsigned r = Z3_func_entry_get_num_args(ctx(), m_entry); check_error(); return r; } + expr arg(unsigned i) const { Z3_ast r = Z3_func_entry_get_arg(ctx(), m_entry, i); check_error(); return expr(ctx(), r); } + }; + + class func_interp : public object { + Z3_func_interp m_interp; + void init(Z3_func_interp e) { + m_interp = e; + Z3_func_interp_inc_ref(ctx(), m_interp); + } + public: + func_interp(context & c, Z3_func_interp e):object(c) { init(e); } + func_interp(func_interp const & s):object(s) { init(s.m_interp); } + ~func_interp() { Z3_func_interp_dec_ref(ctx(), m_interp); } + operator Z3_func_interp() const { return m_interp; } + func_interp & operator=(func_interp const & s) { + Z3_func_interp_inc_ref(s.ctx(), s.m_interp); + Z3_func_interp_dec_ref(ctx(), m_interp); + m_ctx = s.m_ctx; + m_interp = s.m_interp; + return *this; + } + expr else_value() const { Z3_ast r = Z3_func_interp_get_else(ctx(), m_interp); check_error(); return expr(ctx(), r); } + unsigned num_entries() const { unsigned r = Z3_func_interp_get_num_entries(ctx(), m_interp); check_error(); return r; } + func_entry entry(unsigned i) const { Z3_func_entry e = Z3_func_interp_get_entry(ctx(), m_interp, i); check_error(); return func_entry(ctx(), e); } + void add_entry(expr_vector const& args, expr& value) { + Z3_func_interp_add_entry(ctx(), m_interp, args, value); + check_error(); + } + void set_else(expr& value) { + Z3_func_interp_set_else(ctx(), m_interp, value); + check_error(); + } + }; + + class model : public object { + Z3_model m_model; + void init(Z3_model m) { + m_model = m; + Z3_model_inc_ref(ctx(), m); + } + public: + struct translate {}; + model(context & c):object(c) { init(Z3_mk_model(c)); } + model(context & c, Z3_model m):object(c) { init(m); } + model(model const & s):object(s) { init(s.m_model); } + model(model& src, context& dst, translate) : object(dst) { init(Z3_model_translate(src.ctx(), src, dst)); } + ~model() { Z3_model_dec_ref(ctx(), m_model); } + operator Z3_model() const { return m_model; } + model & operator=(model const & s) { + Z3_model_inc_ref(s.ctx(), s.m_model); + Z3_model_dec_ref(ctx(), m_model); + m_ctx = s.m_ctx; + m_model = s.m_model; + return *this; + } + + expr eval(expr const & n, bool model_completion=false) const { + check_context(*this, n); + Z3_ast r = 0; + bool status = Z3_model_eval(ctx(), m_model, n, model_completion, &r); + check_error(); + if (status == false && ctx().enable_exceptions()) + Z3_THROW(exception("failed to evaluate expression")); + return expr(ctx(), r); + } + + unsigned num_consts() const { return Z3_model_get_num_consts(ctx(), m_model); } + unsigned num_funcs() const { return Z3_model_get_num_funcs(ctx(), m_model); } + func_decl get_const_decl(unsigned i) const { Z3_func_decl r = Z3_model_get_const_decl(ctx(), m_model, i); check_error(); return func_decl(ctx(), r); } + func_decl get_func_decl(unsigned i) const { Z3_func_decl r = Z3_model_get_func_decl(ctx(), m_model, i); check_error(); return func_decl(ctx(), r); } + unsigned size() const { return num_consts() + num_funcs(); } + func_decl operator[](int i) const { + assert(0 <= i); + return static_cast<unsigned>(i) < num_consts() ? get_const_decl(i) : get_func_decl(i - num_consts()); + } + + // returns interpretation of constant declaration c. + // If c is not assigned any value in the model it returns + // an expression with a null ast reference. + expr get_const_interp(func_decl c) const { + check_context(*this, c); + Z3_ast r = Z3_model_get_const_interp(ctx(), m_model, c); + check_error(); + return expr(ctx(), r); + } + func_interp get_func_interp(func_decl f) const { + check_context(*this, f); + Z3_func_interp r = Z3_model_get_func_interp(ctx(), m_model, f); + check_error(); + return func_interp(ctx(), r); + } + + // returns true iff the model contains an interpretation + // for function f. + bool has_interp(func_decl f) const { + check_context(*this, f); + return Z3_model_has_interp(ctx(), m_model, f); + } + + func_interp add_func_interp(func_decl& f, expr& else_val) { + Z3_func_interp r = Z3_add_func_interp(ctx(), m_model, f, else_val); + check_error(); + return func_interp(ctx(), r); + } + + void add_const_interp(func_decl& f, expr& value) { + Z3_add_const_interp(ctx(), m_model, f, value); + check_error(); + } + + friend std::ostream & operator<<(std::ostream & out, model const & m); + }; + inline std::ostream & operator<<(std::ostream & out, model const & m) { out << Z3_model_to_string(m.ctx(), m); return out; } + + class stats : public object { + Z3_stats m_stats; + void init(Z3_stats e) { + m_stats = e; + Z3_stats_inc_ref(ctx(), m_stats); + } + public: + stats(context & c):object(c), m_stats(0) {} + stats(context & c, Z3_stats e):object(c) { init(e); } + stats(stats const & s):object(s) { init(s.m_stats); } + ~stats() { if (m_stats) Z3_stats_dec_ref(ctx(), m_stats); } + operator Z3_stats() const { return m_stats; } + stats & operator=(stats const & s) { + Z3_stats_inc_ref(s.ctx(), s.m_stats); + if (m_stats) Z3_stats_dec_ref(ctx(), m_stats); + m_ctx = s.m_ctx; + m_stats = s.m_stats; + return *this; + } + unsigned size() const { return Z3_stats_size(ctx(), m_stats); } + std::string key(unsigned i) const { Z3_string s = Z3_stats_get_key(ctx(), m_stats, i); check_error(); return s; } + bool is_uint(unsigned i) const { bool r = Z3_stats_is_uint(ctx(), m_stats, i); check_error(); return r; } + bool is_double(unsigned i) const { bool r = Z3_stats_is_double(ctx(), m_stats, i); check_error(); return r; } + unsigned uint_value(unsigned i) const { unsigned r = Z3_stats_get_uint_value(ctx(), m_stats, i); check_error(); return r; } + double double_value(unsigned i) const { double r = Z3_stats_get_double_value(ctx(), m_stats, i); check_error(); return r; } + friend std::ostream & operator<<(std::ostream & out, stats const & s); + }; + inline std::ostream & operator<<(std::ostream & out, stats const & s) { out << Z3_stats_to_string(s.ctx(), s); return out; } + + + inline std::ostream & operator<<(std::ostream & out, check_result r) { + if (r == unsat) out << "unsat"; + else if (r == sat) out << "sat"; + else out << "unknown"; + return out; + } + + + class solver : public object { + Z3_solver m_solver; + void init(Z3_solver s) { + m_solver = s; + Z3_solver_inc_ref(ctx(), s); + } + public: + struct simple {}; + struct translate {}; + solver(context & c):object(c) { init(Z3_mk_solver(c)); } + solver(context & c, simple):object(c) { init(Z3_mk_simple_solver(c)); } + solver(context & c, Z3_solver s):object(c) { init(s); } + solver(context & c, char const * logic):object(c) { init(Z3_mk_solver_for_logic(c, c.str_symbol(logic))); } + solver(context & c, solver const& src, translate): object(c) { init(Z3_solver_translate(src.ctx(), src, c)); } + solver(solver const & s):object(s) { init(s.m_solver); } + ~solver() { Z3_solver_dec_ref(ctx(), m_solver); } + operator Z3_solver() const { return m_solver; } + solver & operator=(solver const & s) { + Z3_solver_inc_ref(s.ctx(), s.m_solver); + Z3_solver_dec_ref(ctx(), m_solver); + m_ctx = s.m_ctx; + m_solver = s.m_solver; + return *this; + } + void set(params const & p) { Z3_solver_set_params(ctx(), m_solver, p); check_error(); } + void set(char const * k, bool v) { params p(ctx()); p.set(k, v); set(p); } + void set(char const * k, unsigned v) { params p(ctx()); p.set(k, v); set(p); } + void set(char const * k, double v) { params p(ctx()); p.set(k, v); set(p); } + void set(char const * k, symbol const & v) { params p(ctx()); p.set(k, v); set(p); } + void set(char const * k, char const* v) { params p(ctx()); p.set(k, v); set(p); } + void push() { Z3_solver_push(ctx(), m_solver); check_error(); } + void pop(unsigned n = 1) { Z3_solver_pop(ctx(), m_solver, n); check_error(); } + void reset() { Z3_solver_reset(ctx(), m_solver); check_error(); } + void add(expr const & e) { assert(e.is_bool()); Z3_solver_assert(ctx(), m_solver, e); check_error(); } + void add(expr const & e, expr const & p) { + assert(e.is_bool()); assert(p.is_bool()); assert(p.is_const()); + Z3_solver_assert_and_track(ctx(), m_solver, e, p); + check_error(); + } + void add(expr const & e, char const * p) { + add(e, ctx().bool_const(p)); + } + // fails for some compilers: + // void add(expr_vector const& v) { check_context(*this, v); for (expr e : v) add(e); } + void from_file(char const* file) { Z3_solver_from_file(ctx(), m_solver, file); ctx().check_parser_error(); } + void from_string(char const* s) { Z3_solver_from_string(ctx(), m_solver, s); ctx().check_parser_error(); } + + check_result check() { Z3_lbool r = Z3_solver_check(ctx(), m_solver); check_error(); return to_check_result(r); } + check_result check(unsigned n, expr * const assumptions) { + array<Z3_ast> _assumptions(n); + for (unsigned i = 0; i < n; i++) { + check_context(*this, assumptions[i]); + _assumptions[i] = assumptions[i]; + } + Z3_lbool r = Z3_solver_check_assumptions(ctx(), m_solver, n, _assumptions.ptr()); + check_error(); + return to_check_result(r); + } + check_result check(expr_vector assumptions) { + unsigned n = assumptions.size(); + array<Z3_ast> _assumptions(n); + for (unsigned i = 0; i < n; i++) { + check_context(*this, assumptions[i]); + _assumptions[i] = assumptions[i]; + } + Z3_lbool r = Z3_solver_check_assumptions(ctx(), m_solver, n, _assumptions.ptr()); + check_error(); + return to_check_result(r); + } + model get_model() const { Z3_model m = Z3_solver_get_model(ctx(), m_solver); check_error(); return model(ctx(), m); } + check_result consequences(expr_vector& assumptions, expr_vector& vars, expr_vector& conseq) { + Z3_lbool r = Z3_solver_get_consequences(ctx(), m_solver, assumptions, vars, conseq); + check_error(); + return to_check_result(r); + } + std::string reason_unknown() const { Z3_string r = Z3_solver_get_reason_unknown(ctx(), m_solver); check_error(); return r; } + stats statistics() const { Z3_stats r = Z3_solver_get_statistics(ctx(), m_solver); check_error(); return stats(ctx(), r); } + expr_vector unsat_core() const { Z3_ast_vector r = Z3_solver_get_unsat_core(ctx(), m_solver); check_error(); return expr_vector(ctx(), r); } + expr_vector assertions() const { Z3_ast_vector r = Z3_solver_get_assertions(ctx(), m_solver); check_error(); return expr_vector(ctx(), r); } + expr_vector non_units() const { Z3_ast_vector r = Z3_solver_get_non_units(ctx(), m_solver); check_error(); return expr_vector(ctx(), r); } + expr_vector units() const { Z3_ast_vector r = Z3_solver_get_units(ctx(), m_solver); check_error(); return expr_vector(ctx(), r); } + expr proof() const { Z3_ast r = Z3_solver_get_proof(ctx(), m_solver); check_error(); return expr(ctx(), r); } + friend std::ostream & operator<<(std::ostream & out, solver const & s); + + std::string to_smt2(char const* status = "unknown") { + array<Z3_ast> es(assertions()); + Z3_ast const* fmls = es.ptr(); + Z3_ast fml = 0; + unsigned sz = es.size(); + if (sz > 0) { + --sz; + fml = fmls[sz]; + } + else { + fml = ctx().bool_val(true); + } + return std::string(Z3_benchmark_to_smtlib_string( + ctx(), + "", "", status, "", + sz, + fmls, + fml)); + } + + param_descrs get_param_descrs() { return param_descrs(ctx(), Z3_solver_get_param_descrs(ctx(), m_solver)); } + + + expr_vector cube(expr_vector& vars, unsigned cutoff) { + Z3_ast_vector r = Z3_solver_cube(ctx(), m_solver, vars, cutoff); + check_error(); + return expr_vector(ctx(), r); + } + + class cube_iterator { + solver& m_solver; + unsigned& m_cutoff; + expr_vector& m_vars; + expr_vector m_cube; + bool m_end; + bool m_empty; + + void inc() { + assert(!m_end && !m_empty); + m_cube = m_solver.cube(m_vars, m_cutoff); + m_cutoff = 0xFFFFFFFF; + if (m_cube.size() == 1 && m_cube[0].is_false()) { + m_cube = z3::expr_vector(m_solver.ctx()); + m_end = true; + } + else if (m_cube.empty()) { + m_empty = true; + } + } + public: + cube_iterator(solver& s, expr_vector& vars, unsigned& cutoff, bool end): + m_solver(s), + m_cutoff(cutoff), + m_vars(vars), + m_cube(s.ctx()), + m_end(end), + m_empty(false) { + if (!m_end) { + inc(); + } + } + + cube_iterator& operator++() { + assert(!m_end); + if (m_empty) { + m_end = true; + } + else { + inc(); + } + return *this; + } + cube_iterator operator++(int) { assert(false); return *this; } + expr_vector const * operator->() const { return &(operator*()); } + expr_vector const& operator*() const { return m_cube; } + + bool operator==(cube_iterator const& other) { + return other.m_end == m_end; + }; + bool operator!=(cube_iterator const& other) { + return other.m_end != m_end; + }; + + }; + + class cube_generator { + solver& m_solver; + unsigned m_cutoff; + expr_vector m_default_vars; + expr_vector& m_vars; + public: + cube_generator(solver& s): + m_solver(s), + m_cutoff(0xFFFFFFFF), + m_default_vars(s.ctx()), + m_vars(m_default_vars) + {} + + cube_generator(solver& s, expr_vector& vars): + m_solver(s), + m_cutoff(0xFFFFFFFF), + m_default_vars(s.ctx()), + m_vars(vars) + {} + + cube_iterator begin() { return cube_iterator(m_solver, m_vars, m_cutoff, false); } + cube_iterator end() { return cube_iterator(m_solver, m_vars, m_cutoff, true); } + void set_cutoff(unsigned c) { m_cutoff = c; } + }; + + cube_generator cubes() { return cube_generator(*this); } + cube_generator cubes(expr_vector& vars) { return cube_generator(*this, vars); } + + }; + inline std::ostream & operator<<(std::ostream & out, solver const & s) { out << Z3_solver_to_string(s.ctx(), s); return out; } + + class goal : public object { + Z3_goal m_goal; + void init(Z3_goal s) { + m_goal = s; + Z3_goal_inc_ref(ctx(), s); + } + public: + goal(context & c, bool models=true, bool unsat_cores=false, bool proofs=false):object(c) { init(Z3_mk_goal(c, models, unsat_cores, proofs)); } + goal(context & c, Z3_goal s):object(c) { init(s); } + goal(goal const & s):object(s) { init(s.m_goal); } + ~goal() { Z3_goal_dec_ref(ctx(), m_goal); } + operator Z3_goal() const { return m_goal; } + goal & operator=(goal const & s) { + Z3_goal_inc_ref(s.ctx(), s.m_goal); + Z3_goal_dec_ref(ctx(), m_goal); + m_ctx = s.m_ctx; + m_goal = s.m_goal; + return *this; + } + void add(expr const & f) { check_context(*this, f); Z3_goal_assert(ctx(), m_goal, f); check_error(); } + // void add(expr_vector const& v) { check_context(*this, v); for (expr e : v) add(e); } + unsigned size() const { return Z3_goal_size(ctx(), m_goal); } + expr operator[](int i) const { assert(0 <= i); Z3_ast r = Z3_goal_formula(ctx(), m_goal, i); check_error(); return expr(ctx(), r); } + Z3_goal_prec precision() const { return Z3_goal_precision(ctx(), m_goal); } + bool inconsistent() const { return Z3_goal_inconsistent(ctx(), m_goal); } + unsigned depth() const { return Z3_goal_depth(ctx(), m_goal); } + void reset() { Z3_goal_reset(ctx(), m_goal); } + unsigned num_exprs() const { return Z3_goal_num_exprs(ctx(), m_goal); } + bool is_decided_sat() const { return Z3_goal_is_decided_sat(ctx(), m_goal); } + bool is_decided_unsat() const { return Z3_goal_is_decided_unsat(ctx(), m_goal); } + model convert_model(model const & m) const { + check_context(*this, m); + Z3_model new_m = Z3_goal_convert_model(ctx(), m_goal, m); + check_error(); + return model(ctx(), new_m); + } + model get_model() const { + Z3_model new_m = Z3_goal_convert_model(ctx(), m_goal, 0); + check_error(); + return model(ctx(), new_m); + } + expr as_expr() const { + unsigned n = size(); + if (n == 0) + return ctx().bool_val(true); + else if (n == 1) + return operator[](0); + else { + array<Z3_ast> args(n); + for (unsigned i = 0; i < n; i++) + args[i] = operator[](i); + return expr(ctx(), Z3_mk_and(ctx(), n, args.ptr())); + } + } + std::string dimacs() const { return std::string(Z3_goal_to_dimacs_string(ctx(), m_goal)); } + friend std::ostream & operator<<(std::ostream & out, goal const & g); + }; + inline std::ostream & operator<<(std::ostream & out, goal const & g) { out << Z3_goal_to_string(g.ctx(), g); return out; } + + class apply_result : public object { + Z3_apply_result m_apply_result; + void init(Z3_apply_result s) { + m_apply_result = s; + Z3_apply_result_inc_ref(ctx(), s); + } + public: + apply_result(context & c, Z3_apply_result s):object(c) { init(s); } + apply_result(apply_result const & s):object(s) { init(s.m_apply_result); } + ~apply_result() { Z3_apply_result_dec_ref(ctx(), m_apply_result); } + operator Z3_apply_result() const { return m_apply_result; } + apply_result & operator=(apply_result const & s) { + Z3_apply_result_inc_ref(s.ctx(), s.m_apply_result); + Z3_apply_result_dec_ref(ctx(), m_apply_result); + m_ctx = s.m_ctx; + m_apply_result = s.m_apply_result; + return *this; + } + unsigned size() const { return Z3_apply_result_get_num_subgoals(ctx(), m_apply_result); } + goal operator[](int i) const { assert(0 <= i); Z3_goal r = Z3_apply_result_get_subgoal(ctx(), m_apply_result, i); check_error(); return goal(ctx(), r); } + friend std::ostream & operator<<(std::ostream & out, apply_result const & r); + }; + inline std::ostream & operator<<(std::ostream & out, apply_result const & r) { out << Z3_apply_result_to_string(r.ctx(), r); return out; } + + class tactic : public object { + Z3_tactic m_tactic; + void init(Z3_tactic s) { + m_tactic = s; + Z3_tactic_inc_ref(ctx(), s); + } + public: + tactic(context & c, char const * name):object(c) { Z3_tactic r = Z3_mk_tactic(c, name); check_error(); init(r); } + tactic(context & c, Z3_tactic s):object(c) { init(s); } + tactic(tactic const & s):object(s) { init(s.m_tactic); } + ~tactic() { Z3_tactic_dec_ref(ctx(), m_tactic); } + operator Z3_tactic() const { return m_tactic; } + tactic & operator=(tactic const & s) { + Z3_tactic_inc_ref(s.ctx(), s.m_tactic); + Z3_tactic_dec_ref(ctx(), m_tactic); + m_ctx = s.m_ctx; + m_tactic = s.m_tactic; + return *this; + } + solver mk_solver() const { Z3_solver r = Z3_mk_solver_from_tactic(ctx(), m_tactic); check_error(); return solver(ctx(), r); } + apply_result apply(goal const & g) const { + check_context(*this, g); + Z3_apply_result r = Z3_tactic_apply(ctx(), m_tactic, g); + check_error(); + return apply_result(ctx(), r); + } + apply_result operator()(goal const & g) const { + return apply(g); + } + std::string help() const { char const * r = Z3_tactic_get_help(ctx(), m_tactic); check_error(); return r; } + friend tactic operator&(tactic const & t1, tactic const & t2); + friend tactic operator|(tactic const & t1, tactic const & t2); + friend tactic repeat(tactic const & t, unsigned max); + friend tactic with(tactic const & t, params const & p); + friend tactic try_for(tactic const & t, unsigned ms); + friend tactic par_or(unsigned n, tactic const* tactics); + friend tactic par_and_then(tactic const& t1, tactic const& t2); + param_descrs get_param_descrs() { return param_descrs(ctx(), Z3_tactic_get_param_descrs(ctx(), m_tactic)); } + }; + + inline tactic operator&(tactic const & t1, tactic const & t2) { + check_context(t1, t2); + Z3_tactic r = Z3_tactic_and_then(t1.ctx(), t1, t2); + t1.check_error(); + return tactic(t1.ctx(), r); + } + + inline tactic operator|(tactic const & t1, tactic const & t2) { + check_context(t1, t2); + Z3_tactic r = Z3_tactic_or_else(t1.ctx(), t1, t2); + t1.check_error(); + return tactic(t1.ctx(), r); + } + + inline tactic repeat(tactic const & t, unsigned max=UINT_MAX) { + Z3_tactic r = Z3_tactic_repeat(t.ctx(), t, max); + t.check_error(); + return tactic(t.ctx(), r); + } + + inline tactic with(tactic const & t, params const & p) { + Z3_tactic r = Z3_tactic_using_params(t.ctx(), t, p); + t.check_error(); + return tactic(t.ctx(), r); + } + inline tactic try_for(tactic const & t, unsigned ms) { + Z3_tactic r = Z3_tactic_try_for(t.ctx(), t, ms); + t.check_error(); + return tactic(t.ctx(), r); + } + inline tactic par_or(unsigned n, tactic const* tactics) { + if (n == 0) { + Z3_THROW(exception("a non-zero number of tactics need to be passed to par_or")); + } + array<Z3_tactic> buffer(n); + for (unsigned i = 0; i < n; ++i) buffer[i] = tactics[i]; + return tactic(tactics[0].ctx(), Z3_tactic_par_or(tactics[0].ctx(), n, buffer.ptr())); + } + + inline tactic par_and_then(tactic const & t1, tactic const & t2) { + check_context(t1, t2); + Z3_tactic r = Z3_tactic_par_and_then(t1.ctx(), t1, t2); + t1.check_error(); + return tactic(t1.ctx(), r); + } + + class probe : public object { + Z3_probe m_probe; + void init(Z3_probe s) { + m_probe = s; + Z3_probe_inc_ref(ctx(), s); + } + public: + probe(context & c, char const * name):object(c) { Z3_probe r = Z3_mk_probe(c, name); check_error(); init(r); } + probe(context & c, double val):object(c) { Z3_probe r = Z3_probe_const(c, val); check_error(); init(r); } + probe(context & c, Z3_probe s):object(c) { init(s); } + probe(probe const & s):object(s) { init(s.m_probe); } + ~probe() { Z3_probe_dec_ref(ctx(), m_probe); } + operator Z3_probe() const { return m_probe; } + probe & operator=(probe const & s) { + Z3_probe_inc_ref(s.ctx(), s.m_probe); + Z3_probe_dec_ref(ctx(), m_probe); + m_ctx = s.m_ctx; + m_probe = s.m_probe; + return *this; + } + double apply(goal const & g) const { double r = Z3_probe_apply(ctx(), m_probe, g); check_error(); return r; } + double operator()(goal const & g) const { return apply(g); } + friend probe operator<=(probe const & p1, probe const & p2); + friend probe operator<=(probe const & p1, double p2); + friend probe operator<=(double p1, probe const & p2); + friend probe operator>=(probe const & p1, probe const & p2); + friend probe operator>=(probe const & p1, double p2); + friend probe operator>=(double p1, probe const & p2); + friend probe operator<(probe const & p1, probe const & p2); + friend probe operator<(probe const & p1, double p2); + friend probe operator<(double p1, probe const & p2); + friend probe operator>(probe const & p1, probe const & p2); + friend probe operator>(probe const & p1, double p2); + friend probe operator>(double p1, probe const & p2); + friend probe operator==(probe const & p1, probe const & p2); + friend probe operator==(probe const & p1, double p2); + friend probe operator==(double p1, probe const & p2); + friend probe operator&&(probe const & p1, probe const & p2); + friend probe operator||(probe const & p1, probe const & p2); + friend probe operator!(probe const & p); + }; + + inline probe operator<=(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_le(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator<=(probe const & p1, double p2) { return p1 <= probe(p1.ctx(), p2); } + inline probe operator<=(double p1, probe const & p2) { return probe(p2.ctx(), p1) <= p2; } + inline probe operator>=(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_ge(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator>=(probe const & p1, double p2) { return p1 >= probe(p1.ctx(), p2); } + inline probe operator>=(double p1, probe const & p2) { return probe(p2.ctx(), p1) >= p2; } + inline probe operator<(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_lt(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator<(probe const & p1, double p2) { return p1 < probe(p1.ctx(), p2); } + inline probe operator<(double p1, probe const & p2) { return probe(p2.ctx(), p1) < p2; } + inline probe operator>(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_gt(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator>(probe const & p1, double p2) { return p1 > probe(p1.ctx(), p2); } + inline probe operator>(double p1, probe const & p2) { return probe(p2.ctx(), p1) > p2; } + inline probe operator==(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_eq(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator==(probe const & p1, double p2) { return p1 == probe(p1.ctx(), p2); } + inline probe operator==(double p1, probe const & p2) { return probe(p2.ctx(), p1) == p2; } + inline probe operator&&(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_and(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator||(probe const & p1, probe const & p2) { + check_context(p1, p2); Z3_probe r = Z3_probe_or(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r); + } + inline probe operator!(probe const & p) { + Z3_probe r = Z3_probe_not(p.ctx(), p); p.check_error(); return probe(p.ctx(), r); + } + + class optimize : public object { + Z3_optimize m_opt; + + public: + class handle { + unsigned m_h; + public: + handle(unsigned h): m_h(h) {} + unsigned h() const { return m_h; } + }; + optimize(context& c):object(c) { m_opt = Z3_mk_optimize(c); Z3_optimize_inc_ref(c, m_opt); } + optimize(optimize& o):object(o) { + Z3_optimize_inc_ref(o.ctx(), o.m_opt); + m_opt = o.m_opt; + } + optimize& operator=(optimize const& o) { + Z3_optimize_inc_ref(o.ctx(), o.m_opt); + Z3_optimize_dec_ref(ctx(), m_opt); + m_opt = o.m_opt; + m_ctx = o.m_ctx; + return *this; + } + ~optimize() { Z3_optimize_dec_ref(ctx(), m_opt); } + operator Z3_optimize() const { return m_opt; } + void add(expr const& e) { + assert(e.is_bool()); + Z3_optimize_assert(ctx(), m_opt, e); + } + handle add(expr const& e, unsigned weight) { + assert(e.is_bool()); + std::stringstream strm; + strm << weight; + return handle(Z3_optimize_assert_soft(ctx(), m_opt, e, strm.str().c_str(), 0)); + } + handle add(expr const& e, char const* weight) { + assert(e.is_bool()); + return handle(Z3_optimize_assert_soft(ctx(), m_opt, e, weight, 0)); + } + handle maximize(expr const& e) { + return handle(Z3_optimize_maximize(ctx(), m_opt, e)); + } + handle minimize(expr const& e) { + return handle(Z3_optimize_minimize(ctx(), m_opt, e)); + } + void push() { + Z3_optimize_push(ctx(), m_opt); + } + void pop() { + Z3_optimize_pop(ctx(), m_opt); + } + check_result check() { Z3_lbool r = Z3_optimize_check(ctx(), m_opt, 0, 0); check_error(); return to_check_result(r); } + check_result check(expr_vector const& asms) { + unsigned n = asms.size(); + array<Z3_ast> _asms(n); + for (unsigned i = 0; i < n; i++) { + check_context(*this, asms[i]); + _asms[i] = asms[i]; + } + Z3_lbool r = Z3_optimize_check(ctx(), m_opt, n, _asms.ptr()); + check_error(); + return to_check_result(r); + } + model get_model() const { Z3_model m = Z3_optimize_get_model(ctx(), m_opt); check_error(); return model(ctx(), m); } + expr_vector unsat_core() const { Z3_ast_vector r = Z3_optimize_get_unsat_core(ctx(), m_opt); check_error(); return expr_vector(ctx(), r); } + void set(params const & p) { Z3_optimize_set_params(ctx(), m_opt, p); check_error(); } + expr lower(handle const& h) { + Z3_ast r = Z3_optimize_get_lower(ctx(), m_opt, h.h()); + check_error(); + return expr(ctx(), r); + } + expr upper(handle const& h) { + Z3_ast r = Z3_optimize_get_upper(ctx(), m_opt, h.h()); + check_error(); + return expr(ctx(), r); + } + expr_vector assertions() const { Z3_ast_vector r = Z3_optimize_get_assertions(ctx(), m_opt); check_error(); return expr_vector(ctx(), r); } + expr_vector objectives() const { Z3_ast_vector r = Z3_optimize_get_objectives(ctx(), m_opt); check_error(); return expr_vector(ctx(), r); } + stats statistics() const { Z3_stats r = Z3_optimize_get_statistics(ctx(), m_opt); check_error(); return stats(ctx(), r); } + friend std::ostream & operator<<(std::ostream & out, optimize const & s); + void from_file(char const* filename) { Z3_optimize_from_file(ctx(), m_opt, filename); check_error(); } + void from_string(char const* constraints) { Z3_optimize_from_string(ctx(), m_opt, constraints); check_error(); } + std::string help() const { char const * r = Z3_optimize_get_help(ctx(), m_opt); check_error(); return r; } + }; + inline std::ostream & operator<<(std::ostream & out, optimize const & s) { out << Z3_optimize_to_string(s.ctx(), s.m_opt); return out; } + + class fixedpoint : public object { + Z3_fixedpoint m_fp; + public: + fixedpoint(context& c):object(c) { m_fp = Z3_mk_fixedpoint(c); Z3_fixedpoint_inc_ref(c, m_fp); } + ~fixedpoint() { Z3_fixedpoint_dec_ref(ctx(), m_fp); } + operator Z3_fixedpoint() const { return m_fp; } + void from_string(char const* s) { Z3_fixedpoint_from_string(ctx(), m_fp, s); check_error(); } + void from_file(char const* s) { Z3_fixedpoint_from_file(ctx(), m_fp, s); check_error(); } + void add_rule(expr& rule, symbol const& name) { Z3_fixedpoint_add_rule(ctx(), m_fp, rule, name); check_error(); } + void add_fact(func_decl& f, unsigned * args) { Z3_fixedpoint_add_fact(ctx(), m_fp, f, f.arity(), args); check_error(); } + check_result query(expr& q) { Z3_lbool r = Z3_fixedpoint_query(ctx(), m_fp, q); check_error(); return to_check_result(r); } + check_result query(func_decl_vector& relations) { + array<Z3_func_decl> rs(relations); + Z3_lbool r = Z3_fixedpoint_query_relations(ctx(), m_fp, rs.size(), rs.ptr()); + check_error(); + return to_check_result(r); + } + expr get_answer() { Z3_ast r = Z3_fixedpoint_get_answer(ctx(), m_fp); check_error(); return expr(ctx(), r); } + std::string reason_unknown() { return Z3_fixedpoint_get_reason_unknown(ctx(), m_fp); } + void update_rule(expr& rule, symbol const& name) { Z3_fixedpoint_update_rule(ctx(), m_fp, rule, name); check_error(); } + unsigned get_num_levels(func_decl& p) { unsigned r = Z3_fixedpoint_get_num_levels(ctx(), m_fp, p); check_error(); return r; } + expr get_cover_delta(int level, func_decl& p) { + Z3_ast r = Z3_fixedpoint_get_cover_delta(ctx(), m_fp, level, p); + check_error(); + return expr(ctx(), r); + } + void add_cover(int level, func_decl& p, expr& property) { Z3_fixedpoint_add_cover(ctx(), m_fp, level, p, property); check_error(); } + stats statistics() const { Z3_stats r = Z3_fixedpoint_get_statistics(ctx(), m_fp); check_error(); return stats(ctx(), r); } + void register_relation(func_decl& p) { Z3_fixedpoint_register_relation(ctx(), m_fp, p); } + expr_vector assertions() const { Z3_ast_vector r = Z3_fixedpoint_get_assertions(ctx(), m_fp); check_error(); return expr_vector(ctx(), r); } + expr_vector rules() const { Z3_ast_vector r = Z3_fixedpoint_get_rules(ctx(), m_fp); check_error(); return expr_vector(ctx(), r); } + void set(params const & p) { Z3_fixedpoint_set_params(ctx(), m_fp, p); check_error(); } + std::string help() const { return Z3_fixedpoint_get_help(ctx(), m_fp); } + param_descrs get_param_descrs() { return param_descrs(ctx(), Z3_fixedpoint_get_param_descrs(ctx(), m_fp)); } + std::string to_string() { return Z3_fixedpoint_to_string(ctx(), m_fp, 0, 0); } + std::string to_string(expr_vector const& queries) { + array<Z3_ast> qs(queries); + return Z3_fixedpoint_to_string(ctx(), m_fp, qs.size(), qs.ptr()); + } + void push() { Z3_fixedpoint_push(ctx(), m_fp); check_error(); } + void pop() { Z3_fixedpoint_pop(ctx(), m_fp); check_error(); } + }; + inline std::ostream & operator<<(std::ostream & out, fixedpoint const & f) { return out << Z3_fixedpoint_to_string(f.ctx(), f, 0, 0); } + + inline tactic fail_if(probe const & p) { + Z3_tactic r = Z3_tactic_fail_if(p.ctx(), p); + p.check_error(); + return tactic(p.ctx(), r); + } + inline tactic when(probe const & p, tactic const & t) { + check_context(p, t); + Z3_tactic r = Z3_tactic_when(t.ctx(), p, t); + t.check_error(); + return tactic(t.ctx(), r); + } + inline tactic cond(probe const & p, tactic const & t1, tactic const & t2) { + check_context(p, t1); check_context(p, t2); + Z3_tactic r = Z3_tactic_cond(t1.ctx(), p, t1, t2); + t1.check_error(); + return tactic(t1.ctx(), r); + } + + inline symbol context::str_symbol(char const * s) { Z3_symbol r = Z3_mk_string_symbol(m_ctx, s); check_error(); return symbol(*this, r); } + inline symbol context::int_symbol(int n) { Z3_symbol r = Z3_mk_int_symbol(m_ctx, n); check_error(); return symbol(*this, r); } + + inline sort context::bool_sort() { Z3_sort s = Z3_mk_bool_sort(m_ctx); check_error(); return sort(*this, s); } + inline sort context::int_sort() { Z3_sort s = Z3_mk_int_sort(m_ctx); check_error(); return sort(*this, s); } + inline sort context::real_sort() { Z3_sort s = Z3_mk_real_sort(m_ctx); check_error(); return sort(*this, s); } + inline sort context::bv_sort(unsigned sz) { Z3_sort s = Z3_mk_bv_sort(m_ctx, sz); check_error(); return sort(*this, s); } + inline sort context::string_sort() { Z3_sort s = Z3_mk_string_sort(m_ctx); check_error(); return sort(*this, s); } + inline sort context::seq_sort(sort& s) { Z3_sort r = Z3_mk_seq_sort(m_ctx, s); check_error(); return sort(*this, r); } + inline sort context::re_sort(sort& s) { Z3_sort r = Z3_mk_re_sort(m_ctx, s); check_error(); return sort(*this, r); } + inline sort context::fpa_sort(unsigned ebits, unsigned sbits) { Z3_sort s = Z3_mk_fpa_sort(m_ctx, ebits, sbits); check_error(); return sort(*this, s); } + + template<> + inline sort context::fpa_sort<16>() { return fpa_sort(5, 11); } + + template<> + inline sort context::fpa_sort<32>() { return fpa_sort(8, 24); } + + template<> + inline sort context::fpa_sort<64>() { return fpa_sort(11, 53); } + + template<> + inline sort context::fpa_sort<128>() { return fpa_sort(15, 113); } + + inline sort context::fpa_rounding_mode() { + switch (m_rounding_mode) { + case RNA: return sort(*this, Z3_mk_fpa_rna(m_ctx)); + case RNE: return sort(*this, Z3_mk_fpa_rne(m_ctx)); + case RTP: return sort(*this, Z3_mk_fpa_rtp(m_ctx)); + case RTN: return sort(*this, Z3_mk_fpa_rtn(m_ctx)); + case RTZ: return sort(*this, Z3_mk_fpa_rtz(m_ctx)); + default: return sort(*this); + } + } + + inline void context::set_rounding_mode(rounding_mode rm) { m_rounding_mode = rm; } + + inline sort context::array_sort(sort d, sort r) { Z3_sort s = Z3_mk_array_sort(m_ctx, d, r); check_error(); return sort(*this, s); } + inline sort context::array_sort(sort_vector const& d, sort r) { + array<Z3_sort> dom(d); + Z3_sort s = Z3_mk_array_sort_n(m_ctx, dom.size(), dom.ptr(), r); check_error(); return sort(*this, s); + } + inline sort context::enumeration_sort(char const * name, unsigned n, char const * const * enum_names, func_decl_vector & cs, func_decl_vector & ts) { + array<Z3_symbol> _enum_names(n); + for (unsigned i = 0; i < n; i++) { _enum_names[i] = Z3_mk_string_symbol(*this, enum_names[i]); } + array<Z3_func_decl> _cs(n); + array<Z3_func_decl> _ts(n); + Z3_symbol _name = Z3_mk_string_symbol(*this, name); + sort s = to_sort(*this, Z3_mk_enumeration_sort(*this, _name, n, _enum_names.ptr(), _cs.ptr(), _ts.ptr())); + check_error(); + for (unsigned i = 0; i < n; i++) { cs.push_back(func_decl(*this, _cs[i])); ts.push_back(func_decl(*this, _ts[i])); } + return s; + } + inline func_decl context::tuple_sort(char const * name, unsigned n, char const * const * names, sort const* sorts, func_decl_vector & projs) { + array<Z3_symbol> _names(n); + array<Z3_sort> _sorts(n); + for (unsigned i = 0; i < n; i++) { _names[i] = Z3_mk_string_symbol(*this, names[i]); _sorts[i] = sorts[i]; } + array<Z3_func_decl> _projs(n); + Z3_symbol _name = Z3_mk_string_symbol(*this, name); + Z3_func_decl tuple; + sort _ignore_s = to_sort(*this, Z3_mk_tuple_sort(*this, _name, n, _names.ptr(), _sorts.ptr(), &tuple, _projs.ptr())); + check_error(); + for (unsigned i = 0; i < n; i++) { projs.push_back(func_decl(*this, _projs[i])); } + return func_decl(*this, tuple); + } + + inline sort context::uninterpreted_sort(char const* name) { + Z3_symbol _name = Z3_mk_string_symbol(*this, name); + return to_sort(*this, Z3_mk_uninterpreted_sort(*this, _name)); + } + inline sort context::uninterpreted_sort(symbol const& name) { + return to_sort(*this, Z3_mk_uninterpreted_sort(*this, name)); + } + + inline func_decl context::function(symbol const & name, unsigned arity, sort const * domain, sort const & range) { + array<Z3_sort> args(arity); + for (unsigned i = 0; i < arity; i++) { + check_context(domain[i], range); + args[i] = domain[i]; + } + Z3_func_decl f = Z3_mk_func_decl(m_ctx, name, arity, args.ptr(), range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, unsigned arity, sort const * domain, sort const & range) { + return function(range.ctx().str_symbol(name), arity, domain, range); + } + + inline func_decl context::function(symbol const& name, sort_vector const& domain, sort const& range) { + array<Z3_sort> args(domain.size()); + for (unsigned i = 0; i < domain.size(); i++) { + check_context(domain[i], range); + args[i] = domain[i]; + } + Z3_func_decl f = Z3_mk_func_decl(m_ctx, name, domain.size(), args.ptr(), range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, sort_vector const& domain, sort const& range) { + return function(range.ctx().str_symbol(name), domain, range); + } + + + inline func_decl context::function(char const * name, sort const & domain, sort const & range) { + check_context(domain, range); + Z3_sort args[1] = { domain }; + Z3_func_decl f = Z3_mk_func_decl(m_ctx, str_symbol(name), 1, args, range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, sort const & d1, sort const & d2, sort const & range) { + check_context(d1, range); check_context(d2, range); + Z3_sort args[2] = { d1, d2 }; + Z3_func_decl f = Z3_mk_func_decl(m_ctx, str_symbol(name), 2, args, range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & range) { + check_context(d1, range); check_context(d2, range); check_context(d3, range); + Z3_sort args[3] = { d1, d2, d3 }; + Z3_func_decl f = Z3_mk_func_decl(m_ctx, str_symbol(name), 3, args, range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & range) { + check_context(d1, range); check_context(d2, range); check_context(d3, range); check_context(d4, range); + Z3_sort args[4] = { d1, d2, d3, d4 }; + Z3_func_decl f = Z3_mk_func_decl(m_ctx, str_symbol(name), 4, args, range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & d5, sort const & range) { + check_context(d1, range); check_context(d2, range); check_context(d3, range); check_context(d4, range); check_context(d5, range); + Z3_sort args[5] = { d1, d2, d3, d4, d5 }; + Z3_func_decl f = Z3_mk_func_decl(m_ctx, str_symbol(name), 5, args, range); + check_error(); + return func_decl(*this, f); + } + + inline func_decl context::recfun(symbol const & name, unsigned arity, sort const * domain, sort const & range) { + array<Z3_sort> args(arity); + for (unsigned i = 0; i < arity; i++) { + check_context(domain[i], range); + args[i] = domain[i]; + } + Z3_func_decl f = Z3_mk_rec_func_decl(m_ctx, name, arity, args.ptr(), range); + check_error(); + return func_decl(*this, f); + + } + + inline func_decl context::recfun(char const * name, unsigned arity, sort const * domain, sort const & range) { + return recfun(str_symbol(name), arity, domain, range); + } + + inline func_decl context::recfun(char const * name, sort const& d1, sort const & range) { + return recfun(str_symbol(name), 1, &d1, range); + } + + inline func_decl context::recfun(char const * name, sort const& d1, sort const& d2, sort const & range) { + sort dom[2] = { d1, d2 }; + return recfun(str_symbol(name), 2, dom, range); + } + + inline void context::recdef(func_decl f, expr_vector const& args, expr const& body) { + check_context(f, args); check_context(f, body); + array<Z3_ast> vars(args); + Z3_add_rec_def(f.ctx(), f, vars.size(), vars.ptr(), body); + } + + inline expr context::constant(symbol const & name, sort const & s) { + Z3_ast r = Z3_mk_const(m_ctx, name, s); + check_error(); + return expr(*this, r); + } + inline expr context::constant(char const * name, sort const & s) { return constant(str_symbol(name), s); } + inline expr context::bool_const(char const * name) { return constant(name, bool_sort()); } + inline expr context::int_const(char const * name) { return constant(name, int_sort()); } + inline expr context::real_const(char const * name) { return constant(name, real_sort()); } + inline expr context::bv_const(char const * name, unsigned sz) { return constant(name, bv_sort(sz)); } + inline expr context::fpa_const(char const * name, unsigned ebits, unsigned sbits) { return constant(name, fpa_sort(ebits, sbits)); } + + template<size_t precision> + inline expr context::fpa_const(char const * name) { return constant(name, fpa_sort<precision>()); } + + inline expr context::bool_val(bool b) { return b ? expr(*this, Z3_mk_true(m_ctx)) : expr(*this, Z3_mk_false(m_ctx)); } + + inline expr context::int_val(int n) { Z3_ast r = Z3_mk_int(m_ctx, n, int_sort()); check_error(); return expr(*this, r); } + inline expr context::int_val(unsigned n) { Z3_ast r = Z3_mk_unsigned_int(m_ctx, n, int_sort()); check_error(); return expr(*this, r); } + inline expr context::int_val(int64_t n) { Z3_ast r = Z3_mk_int64(m_ctx, n, int_sort()); check_error(); return expr(*this, r); } + inline expr context::int_val(uint64_t n) { Z3_ast r = Z3_mk_unsigned_int64(m_ctx, n, int_sort()); check_error(); return expr(*this, r); } + inline expr context::int_val(char const * n) { Z3_ast r = Z3_mk_numeral(m_ctx, n, int_sort()); check_error(); return expr(*this, r); } + + inline expr context::real_val(int n, int d) { Z3_ast r = Z3_mk_real(m_ctx, n, d); check_error(); return expr(*this, r); } + inline expr context::real_val(int n) { Z3_ast r = Z3_mk_int(m_ctx, n, real_sort()); check_error(); return expr(*this, r); } + inline expr context::real_val(unsigned n) { Z3_ast r = Z3_mk_unsigned_int(m_ctx, n, real_sort()); check_error(); return expr(*this, r); } + inline expr context::real_val(int64_t n) { Z3_ast r = Z3_mk_int64(m_ctx, n, real_sort()); check_error(); return expr(*this, r); } + inline expr context::real_val(uint64_t n) { Z3_ast r = Z3_mk_unsigned_int64(m_ctx, n, real_sort()); check_error(); return expr(*this, r); } + inline expr context::real_val(char const * n) { Z3_ast r = Z3_mk_numeral(m_ctx, n, real_sort()); check_error(); return expr(*this, r); } + + inline expr context::bv_val(int n, unsigned sz) { sort s = bv_sort(sz); Z3_ast r = Z3_mk_int(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::bv_val(unsigned n, unsigned sz) { sort s = bv_sort(sz); Z3_ast r = Z3_mk_unsigned_int(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::bv_val(int64_t n, unsigned sz) { sort s = bv_sort(sz); Z3_ast r = Z3_mk_int64(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::bv_val(uint64_t n, unsigned sz) { sort s = bv_sort(sz); Z3_ast r = Z3_mk_unsigned_int64(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::bv_val(char const * n, unsigned sz) { sort s = bv_sort(sz); Z3_ast r = Z3_mk_numeral(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::bv_val(unsigned n, bool const* bits) { + array<bool> _bits(n); + for (unsigned i = 0; i < n; ++i) _bits[i] = bits[i] ? 1 : 0; + Z3_ast r = Z3_mk_bv_numeral(m_ctx, n, _bits.ptr()); check_error(); return expr(*this, r); + } + + inline expr context::fpa_val(double n) { sort s = fpa_sort<64>(); Z3_ast r = Z3_mk_fpa_numeral_double(m_ctx, n, s); check_error(); return expr(*this, r); } + inline expr context::fpa_val(float n) { sort s = fpa_sort<32>(); Z3_ast r = Z3_mk_fpa_numeral_float(m_ctx, n, s); check_error(); return expr(*this, r); } + + inline expr context::string_val(char const* s) { Z3_ast r = Z3_mk_string(m_ctx, s); check_error(); return expr(*this, r); } + inline expr context::string_val(std::string const& s) { Z3_ast r = Z3_mk_string(m_ctx, s.c_str()); check_error(); return expr(*this, r); } + + inline expr context::num_val(int n, sort const & s) { Z3_ast r = Z3_mk_int(m_ctx, n, s); check_error(); return expr(*this, r); } + + inline expr func_decl::operator()(unsigned n, expr const * args) const { + array<Z3_ast> _args(n); + for (unsigned i = 0; i < n; i++) { + check_context(*this, args[i]); + _args[i] = args[i]; + } + Z3_ast r = Z3_mk_app(ctx(), *this, n, _args.ptr()); + check_error(); + return expr(ctx(), r); + + } + inline expr func_decl::operator()(expr_vector const& args) const { + array<Z3_ast> _args(args.size()); + for (unsigned i = 0; i < args.size(); i++) { + check_context(*this, args[i]); + _args[i] = args[i]; + } + Z3_ast r = Z3_mk_app(ctx(), *this, args.size(), _args.ptr()); + check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()() const { + Z3_ast r = Z3_mk_app(ctx(), *this, 0, 0); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a) const { + check_context(*this, a); + Z3_ast args[1] = { a }; + Z3_ast r = Z3_mk_app(ctx(), *this, 1, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(int a) const { + Z3_ast args[1] = { ctx().num_val(a, domain(0)) }; + Z3_ast r = Z3_mk_app(ctx(), *this, 1, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a1, expr const & a2) const { + check_context(*this, a1); check_context(*this, a2); + Z3_ast args[2] = { a1, a2 }; + Z3_ast r = Z3_mk_app(ctx(), *this, 2, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a1, int a2) const { + check_context(*this, a1); + Z3_ast args[2] = { a1, ctx().num_val(a2, domain(1)) }; + Z3_ast r = Z3_mk_app(ctx(), *this, 2, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(int a1, expr const & a2) const { + check_context(*this, a2); + Z3_ast args[2] = { ctx().num_val(a1, domain(0)), a2 }; + Z3_ast r = Z3_mk_app(ctx(), *this, 2, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a1, expr const & a2, expr const & a3) const { + check_context(*this, a1); check_context(*this, a2); check_context(*this, a3); + Z3_ast args[3] = { a1, a2, a3 }; + Z3_ast r = Z3_mk_app(ctx(), *this, 3, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a1, expr const & a2, expr const & a3, expr const & a4) const { + check_context(*this, a1); check_context(*this, a2); check_context(*this, a3); check_context(*this, a4); + Z3_ast args[4] = { a1, a2, a3, a4 }; + Z3_ast r = Z3_mk_app(ctx(), *this, 4, args); + ctx().check_error(); + return expr(ctx(), r); + } + inline expr func_decl::operator()(expr const & a1, expr const & a2, expr const & a3, expr const & a4, expr const & a5) const { + check_context(*this, a1); check_context(*this, a2); check_context(*this, a3); check_context(*this, a4); check_context(*this, a5); + Z3_ast args[5] = { a1, a2, a3, a4, a5 }; + Z3_ast r = Z3_mk_app(ctx(), *this, 5, args); + ctx().check_error(); + return expr(ctx(), r); + } + + inline expr to_real(expr const & a) { Z3_ast r = Z3_mk_int2real(a.ctx(), a); a.check_error(); return expr(a.ctx(), r); } + + inline func_decl function(symbol const & name, unsigned arity, sort const * domain, sort const & range) { + return range.ctx().function(name, arity, domain, range); + } + inline func_decl function(char const * name, unsigned arity, sort const * domain, sort const & range) { + return range.ctx().function(name, arity, domain, range); + } + inline func_decl function(char const * name, sort const & domain, sort const & range) { + return range.ctx().function(name, domain, range); + } + inline func_decl function(char const * name, sort const & d1, sort const & d2, sort const & range) { + return range.ctx().function(name, d1, d2, range); + } + inline func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & range) { + return range.ctx().function(name, d1, d2, d3, range); + } + inline func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & range) { + return range.ctx().function(name, d1, d2, d3, d4, range); + } + inline func_decl function(char const * name, sort const & d1, sort const & d2, sort const & d3, sort const & d4, sort const & d5, sort const & range) { + return range.ctx().function(name, d1, d2, d3, d4, d5, range); + } + inline func_decl function(char const* name, sort_vector const& domain, sort const& range) { + return range.ctx().function(name, domain, range); + } + inline func_decl function(std::string const& name, sort_vector const& domain, sort const& range) { + return range.ctx().function(name.c_str(), domain, range); + } + + inline func_decl recfun(symbol const & name, unsigned arity, sort const * domain, sort const & range) { + return range.ctx().recfun(name, arity, domain, range); + } + inline func_decl recfun(char const * name, unsigned arity, sort const * domain, sort const & range) { + return range.ctx().recfun(name, arity, domain, range); + } + inline func_decl recfun(char const * name, sort const& d1, sort const & range) { + return range.ctx().recfun(name, d1, range); + } + inline func_decl recfun(char const * name, sort const& d1, sort const& d2, sort const & range) { + return range.ctx().recfun(name, d1, d2, range); + } + + inline expr select(expr const & a, expr const & i) { + check_context(a, i); + Z3_ast r = Z3_mk_select(a.ctx(), a, i); + a.check_error(); + return expr(a.ctx(), r); + } + inline expr select(expr const & a, int i) { + return select(a, a.ctx().num_val(i, a.get_sort().array_domain())); + } + inline expr select(expr const & a, expr_vector const & i) { + check_context(a, i); + array<Z3_ast> idxs(i); + Z3_ast r = Z3_mk_select_n(a.ctx(), a, idxs.size(), idxs.ptr()); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr store(expr const & a, expr const & i, expr const & v) { + check_context(a, i); check_context(a, v); + Z3_ast r = Z3_mk_store(a.ctx(), a, i, v); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr store(expr const & a, int i, expr const & v) { return store(a, a.ctx().num_val(i, a.get_sort().array_domain()), v); } + inline expr store(expr const & a, expr i, int v) { return store(a, i, a.ctx().num_val(v, a.get_sort().array_range())); } + inline expr store(expr const & a, int i, int v) { + return store(a, a.ctx().num_val(i, a.get_sort().array_domain()), a.ctx().num_val(v, a.get_sort().array_range())); + } + inline expr store(expr const & a, expr_vector const & i, expr const & v) { + check_context(a, i); check_context(a, v); + array<Z3_ast> idxs(i); + Z3_ast r = Z3_mk_store_n(a.ctx(), a, idxs.size(), idxs.ptr(), v); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr as_array(func_decl & f) { + Z3_ast r = Z3_mk_as_array(f.ctx(), f); + f.check_error(); + return expr(f.ctx(), r); + } + +#define MK_EXPR1(_fn, _arg) \ + Z3_ast r = _fn(_arg.ctx(), _arg); \ + _arg.check_error(); \ + return expr(_arg.ctx(), r); + +#define MK_EXPR2(_fn, _arg1, _arg2) \ + check_context(_arg1, _arg2); \ + Z3_ast r = _fn(_arg1.ctx(), _arg1, _arg2); \ + _arg1.check_error(); \ + return expr(_arg1.ctx(), r); + + inline expr const_array(sort const & d, expr const & v) { + MK_EXPR2(Z3_mk_const_array, d, v); + } + + inline expr empty_set(sort const& s) { + MK_EXPR1(Z3_mk_empty_set, s); + } + + inline expr full_set(sort const& s) { + MK_EXPR1(Z3_mk_full_set, s); + } + + inline expr set_add(expr const& s, expr const& e) { + MK_EXPR2(Z3_mk_set_add, s, e); + } + + inline expr set_del(expr const& s, expr const& e) { + MK_EXPR2(Z3_mk_set_del, s, e); + } + + inline expr set_union(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast es[2] = { a, b }; + Z3_ast r = Z3_mk_set_union(a.ctx(), 2, es); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr set_intersect(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast es[2] = { a, b }; + Z3_ast r = Z3_mk_set_intersect(a.ctx(), 2, es); + a.check_error(); + return expr(a.ctx(), r); + } + + inline expr set_difference(expr const& a, expr const& b) { + MK_EXPR2(Z3_mk_set_difference, a, b); + } + + inline expr set_complement(expr const& a) { + MK_EXPR1(Z3_mk_set_complement, a); + } + + inline expr set_member(expr const& s, expr const& e) { + MK_EXPR2(Z3_mk_set_member, s, e); + } + + inline expr set_subset(expr const& a, expr const& b) { + MK_EXPR2(Z3_mk_set_subset, a, b); + } + + // sequence and regular expression operations. + // union is + + // concat is overloaded to handle sequences and regular expressions + + inline expr empty(sort const& s) { + Z3_ast r = Z3_mk_seq_empty(s.ctx(), s); + s.check_error(); + return expr(s.ctx(), r); + } + inline expr suffixof(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast r = Z3_mk_seq_suffix(a.ctx(), a, b); + a.check_error(); + return expr(a.ctx(), r); + } + inline expr prefixof(expr const& a, expr const& b) { + check_context(a, b); + Z3_ast r = Z3_mk_seq_prefix(a.ctx(), a, b); + a.check_error(); + return expr(a.ctx(), r); + } + inline expr indexof(expr const& s, expr const& substr, expr const& offset) { + check_context(s, substr); check_context(s, offset); + Z3_ast r = Z3_mk_seq_index(s.ctx(), s, substr, offset); + s.check_error(); + return expr(s.ctx(), r); + } + inline expr to_re(expr const& s) { + MK_EXPR1(Z3_mk_seq_to_re, s); + } + inline expr in_re(expr const& s, expr const& re) { + MK_EXPR2(Z3_mk_seq_in_re, s, re); + } + inline expr plus(expr const& re) { + MK_EXPR1(Z3_mk_re_plus, re); + } + inline expr option(expr const& re) { + MK_EXPR1(Z3_mk_re_option, re); + } + inline expr star(expr const& re) { + MK_EXPR1(Z3_mk_re_star, re); + } + inline expr re_empty(sort const& s) { + Z3_ast r = Z3_mk_re_empty(s.ctx(), s); + s.check_error(); + return expr(s.ctx(), r); + } + inline expr re_full(sort const& s) { + Z3_ast r = Z3_mk_re_full(s.ctx(), s); + s.check_error(); + return expr(s.ctx(), r); + } + inline expr re_intersect(expr_vector const& args) { + assert(args.size() > 0); + context& ctx = args[0].ctx(); + array<Z3_ast> _args(args); + Z3_ast r = Z3_mk_re_intersect(ctx, _args.size(), _args.ptr()); + ctx.check_error(); + return expr(ctx, r); + } + inline expr re_complement(expr const& a) { + MK_EXPR1(Z3_mk_re_complement, a); + } + inline expr range(expr const& lo, expr const& hi) { + check_context(lo, hi); + Z3_ast r = Z3_mk_re_range(lo.ctx(), lo, hi); + lo.check_error(); + return expr(lo.ctx(), r); + } + + + + + + inline expr_vector context::parse_string(char const* s) { + Z3_ast_vector r = Z3_parse_smtlib2_string(*this, s, 0, 0, 0, 0, 0, 0); + check_error(); + return expr_vector(*this, r); + + } + inline expr_vector context::parse_file(char const* s) { + Z3_ast_vector r = Z3_parse_smtlib2_file(*this, s, 0, 0, 0, 0, 0, 0); + check_error(); + return expr_vector(*this, r); + } + + inline expr_vector context::parse_string(char const* s, sort_vector const& sorts, func_decl_vector const& decls) { + array<Z3_symbol> sort_names(sorts.size()); + array<Z3_symbol> decl_names(decls.size()); + array<Z3_sort> sorts1(sorts); + array<Z3_func_decl> decls1(decls); + for (unsigned i = 0; i < sorts.size(); ++i) { + sort_names[i] = sorts[i].name(); + } + for (unsigned i = 0; i < decls.size(); ++i) { + decl_names[i] = decls[i].name(); + } + + Z3_ast_vector r = Z3_parse_smtlib2_string(*this, s, sorts.size(), sort_names.ptr(), sorts1.ptr(), decls.size(), decl_names.ptr(), decls1.ptr()); + check_error(); + return expr_vector(*this, r); + } + + inline expr_vector context::parse_file(char const* s, sort_vector const& sorts, func_decl_vector const& decls) { + array<Z3_symbol> sort_names(sorts.size()); + array<Z3_symbol> decl_names(decls.size()); + array<Z3_sort> sorts1(sorts); + array<Z3_func_decl> decls1(decls); + for (unsigned i = 0; i < sorts.size(); ++i) { + sort_names[i] = sorts[i].name(); + } + for (unsigned i = 0; i < decls.size(); ++i) { + decl_names[i] = decls[i].name(); + } + Z3_ast_vector r = Z3_parse_smtlib2_file(*this, s, sorts.size(), sort_names.ptr(), sorts1.ptr(), decls.size(), decl_names.ptr(), decls1.ptr()); + check_error(); + return expr_vector(*this, r); + } + + + inline expr expr::substitute(expr_vector const& src, expr_vector const& dst) { + assert(src.size() == dst.size()); + array<Z3_ast> _src(src.size()); + array<Z3_ast> _dst(dst.size()); + for (unsigned i = 0; i < src.size(); ++i) { + _src[i] = src[i]; + _dst[i] = dst[i]; + } + Z3_ast r = Z3_substitute(ctx(), m_ast, src.size(), _src.ptr(), _dst.ptr()); + check_error(); + return expr(ctx(), r); + } + + inline expr expr::substitute(expr_vector const& dst) { + array<Z3_ast> _dst(dst.size()); + for (unsigned i = 0; i < dst.size(); ++i) { + _dst[i] = dst[i]; + } + Z3_ast r = Z3_substitute_vars(ctx(), m_ast, dst.size(), _dst.ptr()); + check_error(); + return expr(ctx(), r); + } + + + +} + +/*@}*/ +/*@}*/ +#undef Z3_THROW +#endif + diff --git a/tool_bin/lib/linux/z3/include/z3.h b/tool_bin/lib/linux/z3/include/z3.h new file mode 100644 index 0000000..382bc4b --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3.h @@ -0,0 +1,38 @@ +/*++ +Copyright (c) 2007 Microsoft Corporation + +Module Name: + + z3.h + +Abstract: + + Z3 API. + +Author: + + Nikolaj Bjorner (nbjorner) + Leonardo de Moura (leonardo) 2007-06-8 + +Notes: + +--*/ + +#ifndef Z3_H_ +#define Z3_H_ + +#include <stdio.h> +#include <stdbool.h> +#include <stdint.h> +#include "z3_macros.h" +#include "z3_api.h" +#include "z3_ast_containers.h" +#include "z3_algebraic.h" +#include "z3_polynomial.h" +#include "z3_rcf.h" +#include "z3_fixedpoint.h" +#include "z3_optimization.h" +#include "z3_fpa.h" +#include "z3_spacer.h" +#endif + diff --git a/tool_bin/lib/linux/z3/include/z3_algebraic.h b/tool_bin/lib/linux/z3/include/z3_algebraic.h new file mode 100644 index 0000000..1ebc1ad --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_algebraic.h @@ -0,0 +1,233 @@ +/*++ +Copyright (c) 2012 Microsoft Corporation + +Module Name: + + z3_algebraic.h + +Abstract: + + Additional APIs for handling Z3 algebraic numbers encoded as + Z3_ASTs + +Author: + + Leonardo de Moura (leonardo) 2012-12-07 + +Notes: + +--*/ + +#ifndef Z3_ALGEBRAIC_H_ +#define Z3_ALGEBRAIC_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Algebraic Numbers */ + /*@{*/ + /** + \brief Return \c true if \c a can be used as value in the Z3 real algebraic + number package. + + def_API('Z3_algebraic_is_value', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_algebraic_is_value(Z3_context c, Z3_ast a); + + /** + \brief Return \c true if \c a is positive, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + + def_API('Z3_algebraic_is_pos', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_algebraic_is_pos(Z3_context c, Z3_ast a); + + /** + \brief Return \c true if \c a is negative, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + + def_API('Z3_algebraic_is_neg', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_algebraic_is_neg(Z3_context c, Z3_ast a); + + /** + \brief Return \c true if \c a is zero, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + + def_API('Z3_algebraic_is_zero', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_algebraic_is_zero(Z3_context c, Z3_ast a); + + /** + \brief Return 1 if \c a is positive, 0 if \c a is zero, and -1 if \c a is negative. + + \pre Z3_algebraic_is_value(c, a) + + def_API('Z3_algebraic_sign', INT, (_in(CONTEXT), _in(AST))) + */ + int Z3_API Z3_algebraic_sign(Z3_context c, Z3_ast a); + + /** + \brief Return the value a + b. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_add', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_algebraic_add(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return the value a - b. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_sub', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_algebraic_sub(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return the value a * b. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_mul', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_algebraic_mul(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return the value a / b. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + \pre !Z3_algebraic_is_zero(c, b) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_div', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_algebraic_div(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return the a^(1/k) + + \pre Z3_algebraic_is_value(c, a) + \pre k is even => !Z3_algebraic_is_neg(c, a) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_root', AST, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_algebraic_root(Z3_context c, Z3_ast a, unsigned k); + + /** + \brief Return the a^k + + \pre Z3_algebraic_is_value(c, a) + \post Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_power', AST, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_algebraic_power(Z3_context c, Z3_ast a, unsigned k); + + /** + \brief Return \c true if a < b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_lt', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_lt(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return \c true if a > b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_gt', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_gt(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return \c true if a <= b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_le', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_le(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return \c true if a >= b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_ge', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_ge(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return \c true if a == b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_eq', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_eq(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Return \c true if a != b, and \c false otherwise. + + \pre Z3_algebraic_is_value(c, a) + \pre Z3_algebraic_is_value(c, b) + + def_API('Z3_algebraic_neq', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_algebraic_neq(Z3_context c, Z3_ast a, Z3_ast b); + + /** + \brief Given a multivariate polynomial p(x_0, ..., x_{n-1}, x_n), returns the + roots of the univariate polynomial p(a[0], ..., a[n-1], x_n). + + \pre p is a Z3 expression that contains only arithmetic terms and free variables. + \pre forall i in [0, n) Z3_algebraic_is_value(c, a[i]) + \post forall r in result Z3_algebraic_is_value(c, result) + + def_API('Z3_algebraic_roots', AST_VECTOR, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST))) + */ + Z3_ast_vector Z3_API Z3_algebraic_roots(Z3_context c, Z3_ast p, unsigned n, Z3_ast a[]); + + /** + \brief Given a multivariate polynomial p(x_0, ..., x_{n-1}), return the + sign of p(a[0], ..., a[n-1]). + + \pre p is a Z3 expression that contains only arithmetic terms and free variables. + \pre forall i in [0, n) Z3_algebraic_is_value(c, a[i]) + + def_API('Z3_algebraic_eval', INT, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST))) + */ + int Z3_API Z3_algebraic_eval(Z3_context c, Z3_ast p, unsigned n, Z3_ast a[]); + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_api.h b/tool_bin/lib/linux/z3/include/z3_api.h new file mode 100644 index 0000000..f3d61c1 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_api.h @@ -0,0 +1,6464 @@ +/*++ + Copyright (c) 2015 Microsoft Corporation +--*/ + +#ifndef Z3_API_H_ +#define Z3_API_H_ + +DEFINE_TYPE(Z3_symbol); +DEFINE_TYPE(Z3_literals); +DEFINE_TYPE(Z3_config); +DEFINE_TYPE(Z3_context); +DEFINE_TYPE(Z3_sort); +#define Z3_sort_opt Z3_sort +DEFINE_TYPE(Z3_func_decl); +DEFINE_TYPE(Z3_ast); +#define Z3_ast_opt Z3_ast +DEFINE_TYPE(Z3_app); +DEFINE_TYPE(Z3_pattern); +DEFINE_TYPE(Z3_model); +DEFINE_TYPE(Z3_constructor); +DEFINE_TYPE(Z3_constructor_list); +DEFINE_TYPE(Z3_params); +DEFINE_TYPE(Z3_param_descrs); +DEFINE_TYPE(Z3_goal); +DEFINE_TYPE(Z3_tactic); +DEFINE_TYPE(Z3_probe); +DEFINE_TYPE(Z3_stats); +DEFINE_TYPE(Z3_solver); +DEFINE_TYPE(Z3_ast_vector); +DEFINE_TYPE(Z3_ast_map); +DEFINE_TYPE(Z3_apply_result); +DEFINE_TYPE(Z3_func_interp); +#define Z3_func_interp_opt Z3_func_interp +DEFINE_TYPE(Z3_func_entry); +DEFINE_TYPE(Z3_fixedpoint); +DEFINE_TYPE(Z3_optimize); +DEFINE_TYPE(Z3_rcf_num); + +/** \defgroup capi C API */ +/*@{*/ + +/** @name Types + @{ + + Most of the types in the C API are opaque pointers. + + - \c Z3_config: configuration object used to initialize logical contexts. + - \c Z3_context: manager of all other Z3 objects, global configuration options, etc. + - \c Z3_symbol: Lisp-like symbol used to name types, constants, and functions. A symbol can be created using string or integers. + - \c Z3_ast: abstract syntax tree node. That is, the data-structure used in Z3 to represent terms, formulas and types. + - \c Z3_sort: kind of AST used to represent types. + - \c Z3_func_decl: kind of AST used to represent function symbols. + - \c Z3_app: kind of AST used to represent function applications. + - \c Z3_pattern: kind of AST used to represent pattern and multi-patterns used to guide quantifier instantiation. + - \c Z3_constructor: type constructor for a (recursive) datatype. + - \c Z3_constructor_list: list of constructors for a (recursive) datatype. + - \c Z3_params: parameter set used to configure many components such as: simplifiers, tactics, solvers, etc. + - \c Z3_param_descrs: provides a collection of parameter names, their types, default values and documentation strings. Solvers, tactics, and other objects accept different collection of parameters. + - \c Z3_model: model for the constraints asserted into the logical context. + - \c Z3_func_interp: interpretation of a function in a model. + - \c Z3_func_entry: representation of the value of a \c Z3_func_interp at a particular point. + - \c Z3_fixedpoint: context for the recursive predicate solver. + - \c Z3_optimize: context for solving optimization queries. + - \c Z3_ast_vector: vector of \c Z3_ast objects. + - \c Z3_ast_map: mapping from \c Z3_ast to \c Z3_ast objects. + - \c Z3_goal: set of formulas that can be solved and/or transformed using tactics and solvers. + - \c Z3_tactic: basic building block for creating custom solvers for specific problem domains. + - \c Z3_probe: function/predicate used to inspect a goal and collect information that may be used to decide which solver and/or preprocessing step will be used. + - \c Z3_apply_result: collection of subgoals resulting from applying of a tactic to a goal. + - \c Z3_solver: (incremental) solver, possibly specialized by a particular tactic or logic. + - \c Z3_stats: statistical data for a solver. +*/ + +/** + \brief Z3 Boolean type. It is just an alias for \c bool. +*/ +typedef bool Z3_bool; + +/** + \brief Z3 string type. It is just an alias for \ccode{const char *}. +*/ +typedef const char * Z3_string; +typedef Z3_string * Z3_string_ptr; + +/** + \brief True value. It is just an alias for \c true. +*/ +#define Z3_TRUE true + +/** + \brief False value. It is just an alias for \c false. +*/ +#define Z3_FALSE false + +/** + \brief Lifted Boolean type: \c false, \c undefined, \c true. +*/ +typedef enum +{ + Z3_L_FALSE = -1, + Z3_L_UNDEF, + Z3_L_TRUE +} Z3_lbool; + +/** + \brief The different kinds of symbol. + In Z3, a symbol can be represented using integers and strings (See #Z3_get_symbol_kind). + + \sa Z3_mk_int_symbol + \sa Z3_mk_string_symbol +*/ +typedef enum +{ + Z3_INT_SYMBOL, + Z3_STRING_SYMBOL +} Z3_symbol_kind; + + +/** + \brief The different kinds of parameters that can be associated with function symbols. + \sa Z3_get_decl_num_parameters + \sa Z3_get_decl_parameter_kind + + - Z3_PARAMETER_INT is used for integer parameters. + - Z3_PARAMETER_DOUBLE is used for double parameters. + - Z3_PARAMETER_RATIONAL is used for parameters that are rational numbers. + - Z3_PARAMETER_SYMBOL is used for parameters that are symbols. + - Z3_PARAMETER_SORT is used for sort parameters. + - Z3_PARAMETER_AST is used for expression parameters. + - Z3_PARAMETER_FUNC_DECL is used for function declaration parameters. +*/ +typedef enum +{ + Z3_PARAMETER_INT, + Z3_PARAMETER_DOUBLE, + Z3_PARAMETER_RATIONAL, + Z3_PARAMETER_SYMBOL, + Z3_PARAMETER_SORT, + Z3_PARAMETER_AST, + Z3_PARAMETER_FUNC_DECL +} Z3_parameter_kind; + +/** + \brief The different kinds of Z3 types (See #Z3_get_sort_kind). +*/ +typedef enum +{ + Z3_UNINTERPRETED_SORT, + Z3_BOOL_SORT, + Z3_INT_SORT, + Z3_REAL_SORT, + Z3_BV_SORT, + Z3_ARRAY_SORT, + Z3_DATATYPE_SORT, + Z3_RELATION_SORT, + Z3_FINITE_DOMAIN_SORT, + Z3_FLOATING_POINT_SORT, + Z3_ROUNDING_MODE_SORT, + Z3_SEQ_SORT, + Z3_RE_SORT, + Z3_UNKNOWN_SORT = 1000 +} Z3_sort_kind; + +/** + \brief + The different kinds of Z3 AST (abstract syntax trees). That is, terms, formulas and types. + + - Z3_APP_AST: constant and applications + - Z3_NUMERAL_AST: numeral constants + - Z3_VAR_AST: bound variables + - Z3_QUANTIFIER_AST: quantifiers + - Z3_SORT_AST: sort + - Z3_FUNC_DECL_AST: function declaration + - Z3_UNKNOWN_AST: internal +*/ +typedef enum +{ + Z3_NUMERAL_AST, + Z3_APP_AST, + Z3_VAR_AST, + Z3_QUANTIFIER_AST, + Z3_SORT_AST, + Z3_FUNC_DECL_AST, + Z3_UNKNOWN_AST = 1000 +} Z3_ast_kind; + +/** + \brief The different kinds of interpreted function kinds. + + - Z3_OP_TRUE The constant true. + + - Z3_OP_FALSE The constant false. + + - Z3_OP_EQ The equality predicate. + + - Z3_OP_DISTINCT The n-ary distinct predicate (every argument is mutually distinct). + + - Z3_OP_ITE The ternary if-then-else term. + + - Z3_OP_AND n-ary conjunction. + + - Z3_OP_OR n-ary disjunction. + + - Z3_OP_IFF equivalence (binary). + + - Z3_OP_XOR Exclusive or. + + - Z3_OP_NOT Negation. + + - Z3_OP_IMPLIES Implication. + + - Z3_OP_OEQ Binary equivalence modulo namings. This binary predicate is used in proof terms. + It captures equisatisfiability and equivalence modulo renamings. + + - Z3_OP_ANUM Arithmetic numeral. + + - Z3_OP_AGNUM Arithmetic algebraic numeral. Algebraic numbers are used to represent irrational numbers in Z3. + + - Z3_OP_LE <=. + + - Z3_OP_GE >=. + + - Z3_OP_LT <. + + - Z3_OP_GT >. + + - Z3_OP_ADD Addition - Binary. + + - Z3_OP_SUB Binary subtraction. + + - Z3_OP_UMINUS Unary minus. + + - Z3_OP_MUL Multiplication - Binary. + + - Z3_OP_DIV Division - Binary. + + - Z3_OP_IDIV Integer division - Binary. + + - Z3_OP_REM Remainder - Binary. + + - Z3_OP_MOD Modulus - Binary. + + - Z3_OP_TO_REAL Coercion of integer to real - Unary. + + - Z3_OP_TO_INT Coercion of real to integer - Unary. + + - Z3_OP_IS_INT Check if real is also an integer - Unary. + + - Z3_OP_POWER Power operator x^y. + + - Z3_OP_STORE Array store. It satisfies select(store(a,i,v),j) = if i = j then v else select(a,j). + Array store takes at least 3 arguments. + + - Z3_OP_SELECT Array select. + + - Z3_OP_CONST_ARRAY The constant array. For example, select(const(v),i) = v holds for every v and i. The function is unary. + + - Z3_OP_ARRAY_DEFAULT Default value of arrays. For example default(const(v)) = v. The function is unary. + + - Z3_OP_ARRAY_MAP Array map operator. + It satisfies map[f](a1,..,a_n)[i] = f(a1[i],...,a_n[i]) for every i. + + - Z3_OP_SET_UNION Set union between two Boolean arrays (two arrays whose range type is Boolean). The function is binary. + + - Z3_OP_SET_INTERSECT Set intersection between two Boolean arrays. The function is binary. + + - Z3_OP_SET_DIFFERENCE Set difference between two Boolean arrays. The function is binary. + + - Z3_OP_SET_COMPLEMENT Set complement of a Boolean array. The function is unary. + + - Z3_OP_SET_SUBSET Subset predicate between two Boolean arrays. The relation is binary. + + - Z3_OP_AS_ARRAY An array value that behaves as the function graph of the + function passed as parameter. + + - Z3_OP_ARRAY_EXT Array extensionality function. It takes two arrays as arguments and produces an index, such that the arrays + are different if they are different on the index. + + - Z3_OP_BNUM Bit-vector numeral. + + - Z3_OP_BIT1 One bit bit-vector. + + - Z3_OP_BIT0 Zero bit bit-vector. + + - Z3_OP_BNEG Unary minus. + + - Z3_OP_BADD Binary addition. + + - Z3_OP_BSUB Binary subtraction. + + - Z3_OP_BMUL Binary multiplication. + + - Z3_OP_BSDIV Binary signed division. + + - Z3_OP_BUDIV Binary unsigned division. + + - Z3_OP_BSREM Binary signed remainder. + + - Z3_OP_BUREM Binary unsigned remainder. + + - Z3_OP_BSMOD Binary signed modulus. + + - Z3_OP_BSDIV0 Unary function. bsdiv(x,0) is congruent to bsdiv0(x). + + - Z3_OP_BUDIV0 Unary function. budiv(x,0) is congruent to budiv0(x). + + - Z3_OP_BSREM0 Unary function. bsrem(x,0) is congruent to bsrem0(x). + + - Z3_OP_BUREM0 Unary function. burem(x,0) is congruent to burem0(x). + + - Z3_OP_BSMOD0 Unary function. bsmod(x,0) is congruent to bsmod0(x). + + - Z3_OP_ULEQ Unsigned bit-vector <= - Binary relation. + + - Z3_OP_SLEQ Signed bit-vector <= - Binary relation. + + - Z3_OP_UGEQ Unsigned bit-vector >= - Binary relation. + + - Z3_OP_SGEQ Signed bit-vector >= - Binary relation. + + - Z3_OP_ULT Unsigned bit-vector < - Binary relation. + + - Z3_OP_SLT Signed bit-vector < - Binary relation. + + - Z3_OP_UGT Unsigned bit-vector > - Binary relation. + + - Z3_OP_SGT Signed bit-vector > - Binary relation. + + - Z3_OP_BAND Bit-wise and - Binary. + + - Z3_OP_BOR Bit-wise or - Binary. + + - Z3_OP_BNOT Bit-wise not - Unary. + + - Z3_OP_BXOR Bit-wise xor - Binary. + + - Z3_OP_BNAND Bit-wise nand - Binary. + + - Z3_OP_BNOR Bit-wise nor - Binary. + + - Z3_OP_BXNOR Bit-wise xnor - Binary. + + - Z3_OP_CONCAT Bit-vector concatenation - Binary. + + - Z3_OP_SIGN_EXT Bit-vector sign extension. + + - Z3_OP_ZERO_EXT Bit-vector zero extension. + + - Z3_OP_EXTRACT Bit-vector extraction. + + - Z3_OP_REPEAT Repeat bit-vector n times. + + - Z3_OP_BREDOR Bit-vector reduce or - Unary. + + - Z3_OP_BREDAND Bit-vector reduce and - Unary. + + - Z3_OP_BCOMP . + + - Z3_OP_BSHL Shift left. + + - Z3_OP_BLSHR Logical shift right. + + - Z3_OP_BASHR Arithmetical shift right. + + - Z3_OP_ROTATE_LEFT Left rotation. + + - Z3_OP_ROTATE_RIGHT Right rotation. + + - Z3_OP_EXT_ROTATE_LEFT (extended) Left rotation. Similar to Z3_OP_ROTATE_LEFT, but it is a binary operator instead of a parametric one. + + - Z3_OP_EXT_ROTATE_RIGHT (extended) Right rotation. Similar to Z3_OP_ROTATE_RIGHT, but it is a binary operator instead of a parametric one. + + - Z3_OP_INT2BV Coerce integer to bit-vector. NB. This function + is not supported by the decision procedures. Only the most + rudimentary simplification rules are applied to this function. + + - Z3_OP_BV2INT Coerce bit-vector to integer. NB. This function + is not supported by the decision procedures. Only the most + rudimentary simplification rules are applied to this function. + + - Z3_OP_CARRY Compute the carry bit in a full-adder. + The meaning is given by the equivalence + (carry l1 l2 l3) <=> (or (and l1 l2) (and l1 l3) (and l2 l3))) + + - Z3_OP_XOR3 Compute ternary XOR. + The meaning is given by the equivalence + (xor3 l1 l2 l3) <=> (xor (xor l1 l2) l3) + + - Z3_OP_BSMUL_NO_OVFL: a predicate to check that bit-wise signed multiplication does not overflow. + Signed multiplication overflows if the operands have the same sign and the result of multiplication + does not fit within the available bits. \sa Z3_mk_bvmul_no_overflow. + + - Z3_OP_BUMUL_NO_OVFL: check that bit-wise unsigned multiplication does not overflow. + Unsigned multiplication overflows if the result does not fit within the available bits. + \sa Z3_mk_bvmul_no_overflow. + + - Z3_OP_BSMUL_NO_UDFL: check that bit-wise signed multiplication does not underflow. + Signed multiplication underflows if the operands have opposite signs and the result of multiplication + does not fit within the available bits. Z3_mk_bvmul_no_underflow. + + - Z3_OP_BSDIV_I: Binary signed division. + It has the same semantics as Z3_OP_BSDIV, but created in a context where the second operand can be assumed to be non-zero. + + - Z3_OP_BUDIV_I: Binary unsigned division. + It has the same semantics as Z3_OP_BUDIV, but created in a context where the second operand can be assumed to be non-zero. + + - Z3_OP_BSREM_I: Binary signed remainder. + It has the same semantics as Z3_OP_BSREM, but created in a context where the second operand can be assumed to be non-zero. + + - Z3_OP_BUREM_I: Binary unsigned remainder. + It has the same semantics as Z3_OP_BUREM, but created in a context where the second operand can be assumed to be non-zero. + + - Z3_OP_BSMOD_I: Binary signed modulus. + It has the same semantics as Z3_OP_BSMOD, but created in a context where the second operand can be assumed to be non-zero. + + - Z3_OP_PR_UNDEF: Undef/Null proof object. + + - Z3_OP_PR_TRUE: Proof for the expression 'true'. + + - Z3_OP_PR_ASSERTED: Proof for a fact asserted by the user. + + - Z3_OP_PR_GOAL: Proof for a fact (tagged as goal) asserted by the user. + + - Z3_OP_PR_MODUS_PONENS: Given a proof for p and a proof for (implies p q), produces a proof for q. + \nicebox{ + T1: p + T2: (implies p q) + [mp T1 T2]: q + } + The second antecedents may also be a proof for (iff p q). + + - Z3_OP_PR_REFLEXIVITY: A proof for (R t t), where R is a reflexive relation. This proof object has no antecedents. + The only reflexive relations that are used are + equivalence modulo namings, equality and equivalence. + That is, R is either '~', '=' or 'iff'. + + - Z3_OP_PR_SYMMETRY: Given an symmetric relation R and a proof for (R t s), produces a proof for (R s t). + \nicebox{ + T1: (R t s) + [symmetry T1]: (R s t) + } + T1 is the antecedent of this proof object. + + - Z3_OP_PR_TRANSITIVITY: Given a transitive relation R, and proofs for (R t s) and (R s u), produces a proof + for (R t u). + \nicebox{ + T1: (R t s) + T2: (R s u) + [trans T1 T2]: (R t u) + } + + - Z3_OP_PR_TRANSITIVITY_STAR: Condensed transitivity proof. + It combines several symmetry and transitivity proofs. + + Example: + \nicebox{ + T1: (R a b) + T2: (R c b) + T3: (R c d) + [trans* T1 T2 T3]: (R a d) + } + R must be a symmetric and transitive relation. + + Assuming that this proof object is a proof for (R s t), then + a proof checker must check if it is possible to prove (R s t) + using the antecedents, symmetry and transitivity. That is, + if there is a path from s to t, if we view every + antecedent (R a b) as an edge between a and b. + + - Z3_OP_PR_MONOTONICITY: Monotonicity proof object. + \nicebox{ + T1: (R t_1 s_1) + ... + Tn: (R t_n s_n) + [monotonicity T1 ... Tn]: (R (f t_1 ... t_n) (f s_1 ... s_n)) + } + Remark: if t_i == s_i, then the antecedent Ti is suppressed. + That is, reflexivity proofs are suppressed to save space. + + - Z3_OP_PR_QUANT_INTRO: Given a proof for (~ p q), produces a proof for (~ (forall (x) p) (forall (x) q)). + + T1: (~ p q) + [quant-intro T1]: (~ (forall (x) p) (forall (x) q)) + + - Z3_OP_PR_BIND: Given a proof p, produces a proof of lambda x . p, where x are free variables in p. + T1: f + [proof-bind T1] forall (x) f + + - Z3_OP_PR_DISTRIBUTIVITY: Distributivity proof object. + Given that f (= or) distributes over g (= and), produces a proof for + + (= (f a (g c d)) + (g (f a c) (f a d))) + + If f and g are associative, this proof also justifies the following equality: + + (= (f (g a b) (g c d)) + (g (f a c) (f a d) (f b c) (f b d))) + + where each f and g can have arbitrary number of arguments. + + This proof object has no antecedents. + Remark. This rule is used by the CNF conversion pass and + instantiated by f = or, and g = and. + + - Z3_OP_PR_AND_ELIM: Given a proof for (and l_1 ... l_n), produces a proof for l_i + + \nicebox{ + T1: (and l_1 ... l_n) + [and-elim T1]: l_i + } + - Z3_OP_PR_NOT_OR_ELIM: Given a proof for (not (or l_1 ... l_n)), produces a proof for (not l_i). + + \nicebox{ + T1: (not (or l_1 ... l_n)) + [not-or-elim T1]: (not l_i) + } + + - Z3_OP_PR_REWRITE: A proof for a local rewriting step (= t s). + The head function symbol of t is interpreted. + + This proof object has no antecedents. + The conclusion of a rewrite rule is either an equality (= t s), + an equivalence (iff t s), or equi-satisfiability (~ t s). + Remark: if f is bool, then = is iff. + + + Examples: + \nicebox{ + (= (+ x 0) x) + (= (+ x 1 2) (+ 3 x)) + (iff (or x false) x) + } + + - Z3_OP_PR_REWRITE_STAR: A proof for rewriting an expression t into an expression s. + This proof object can have n antecedents. + The antecedents are proofs for equalities used as substitution rules. + The proof rule is used in a few cases. The cases are: + - When applying contextual simplification (CONTEXT_SIMPLIFIER=true) + - When converting bit-vectors to Booleans (BIT2BOOL=true) + + - Z3_OP_PR_PULL_QUANT: A proof for (iff (f (forall (x) q(x)) r) (forall (x) (f (q x) r))). This proof object has no antecedents. + + - Z3_OP_PR_PUSH_QUANT: A proof for: + + \nicebox{ + (iff (forall (x_1 ... x_m) (and p_1[x_1 ... x_m] ... p_n[x_1 ... x_m])) + (and (forall (x_1 ... x_m) p_1[x_1 ... x_m]) + ... + (forall (x_1 ... x_m) p_n[x_1 ... x_m]))) + } + This proof object has no antecedents. + + - Z3_OP_PR_ELIM_UNUSED_VARS: + A proof for (iff (forall (x_1 ... x_n y_1 ... y_m) p[x_1 ... x_n]) + (forall (x_1 ... x_n) p[x_1 ... x_n])) + + It is used to justify the elimination of unused variables. + This proof object has no antecedents. + + - Z3_OP_PR_DER: A proof for destructive equality resolution: + (iff (forall (x) (or (not (= x t)) P[x])) P[t]) + if x does not occur in t. + + This proof object has no antecedents. + + Several variables can be eliminated simultaneously. + + - Z3_OP_PR_QUANT_INST: A proof of (or (not (forall (x) (P x))) (P a)) + + - Z3_OP_PR_HYPOTHESIS: Mark a hypothesis in a natural deduction style proof. + + - Z3_OP_PR_LEMMA: + + \nicebox{ + T1: false + [lemma T1]: (or (not l_1) ... (not l_n)) + } + This proof object has one antecedent: a hypothetical proof for false. + It converts the proof in a proof for (or (not l_1) ... (not l_n)), + when T1 contains the open hypotheses: l_1, ..., l_n. + The hypotheses are closed after an application of a lemma. + Furthermore, there are no other open hypotheses in the subtree covered by + the lemma. + + - Z3_OP_PR_UNIT_RESOLUTION: + \nicebox{ + T1: (or l_1 ... l_n l_1' ... l_m') + T2: (not l_1) + ... + T(n+1): (not l_n) + [unit-resolution T1 ... T(n+1)]: (or l_1' ... l_m') + } + + - Z3_OP_PR_IFF_TRUE: + \nicebox{ + T1: p + [iff-true T1]: (iff p true) + } + + - Z3_OP_PR_IFF_FALSE: + \nicebox{ + T1: (not p) + [iff-false T1]: (iff p false) + } + + - Z3_OP_PR_COMMUTATIVITY: + + [comm]: (= (f a b) (f b a)) + + f is a commutative operator. + + This proof object has no antecedents. + Remark: if f is bool, then = is iff. + + - Z3_OP_PR_DEF_AXIOM: Proof object used to justify Tseitin's like axioms: + + \nicebox{ + (or (not (and p q)) p) + (or (not (and p q)) q) + (or (not (and p q r)) p) + (or (not (and p q r)) q) + (or (not (and p q r)) r) + ... + (or (and p q) (not p) (not q)) + (or (not (or p q)) p q) + (or (or p q) (not p)) + (or (or p q) (not q)) + (or (not (iff p q)) (not p) q) + (or (not (iff p q)) p (not q)) + (or (iff p q) (not p) (not q)) + (or (iff p q) p q) + (or (not (ite a b c)) (not a) b) + (or (not (ite a b c)) a c) + (or (ite a b c) (not a) (not b)) + (or (ite a b c) a (not c)) + (or (not (not a)) (not a)) + (or (not a) a) + } + This proof object has no antecedents. + Note: all axioms are propositional tautologies. + Note also that 'and' and 'or' can take multiple arguments. + You can recover the propositional tautologies by + unfolding the Boolean connectives in the axioms a small + bounded number of steps (=3). + + - Z3_OP_PR_DEF_INTRO: Introduces a name for a formula/term. + Suppose e is an expression with free variables x, and def-intro + introduces the name n(x). The possible cases are: + + When e is of Boolean type: + [def-intro]: (and (or n (not e)) (or (not n) e)) + + or: + [def-intro]: (or (not n) e) + when e only occurs positively. + + When e is of the form (ite cond th el): + [def-intro]: (and (or (not cond) (= n th)) (or cond (= n el))) + + Otherwise: + [def-intro]: (= n e) + + - Z3_OP_PR_APPLY_DEF: + [apply-def T1]: F ~ n + F is 'equivalent' to n, given that T1 is a proof that + n is a name for F. + + - Z3_OP_PR_IFF_OEQ: + T1: (iff p q) + [iff~ T1]: (~ p q) + + - Z3_OP_PR_NNF_POS: Proof for a (positive) NNF step. Example: + \nicebox{ + T1: (not s_1) ~ r_1 + T2: (not s_2) ~ r_2 + T3: s_1 ~ r_1' + T4: s_2 ~ r_2' + [nnf-pos T1 T2 T3 T4]: (~ (iff s_1 s_2) + (and (or r_1 r_2') (or r_1' r_2))) + } + The negation normal form steps NNF_POS and NNF_NEG are used in the following cases: + (a) When creating the NNF of a positive force quantifier. + The quantifier is retained (unless the bound variables are eliminated). + Example + \nicebox{ + T1: q ~ q_new + [nnf-pos T1]: (~ (forall (x T) q) (forall (x T) q_new)) + } + (b) When recursively creating NNF over Boolean formulas, where the top-level + connective is changed during NNF conversion. The relevant Boolean connectives + for NNF_POS are 'implies', 'iff', 'xor', 'ite'. + NNF_NEG furthermore handles the case where negation is pushed + over Boolean connectives 'and' and 'or'. + + + - Z3_OP_PR_NNF_NEG: Proof for a (negative) NNF step. Examples: + \nicebox{ + T1: (not s_1) ~ r_1 + ... + Tn: (not s_n) ~ r_n + [nnf-neg T1 ... Tn]: (not (and s_1 ... s_n)) ~ (or r_1 ... r_n) + and + T1: (not s_1) ~ r_1 + ... + Tn: (not s_n) ~ r_n + [nnf-neg T1 ... Tn]: (not (or s_1 ... s_n)) ~ (and r_1 ... r_n) + and + T1: (not s_1) ~ r_1 + T2: (not s_2) ~ r_2 + T3: s_1 ~ r_1' + T4: s_2 ~ r_2' + [nnf-neg T1 T2 T3 T4]: (~ (not (iff s_1 s_2)) + (and (or r_1 r_2) (or r_1' r_2'))) + } + + - Z3_OP_PR_SKOLEMIZE: Proof for: + + \nicebox{ + [sk]: (~ (not (forall x (p x y))) (not (p (sk y) y))) + [sk]: (~ (exists x (p x y)) (p (sk y) y)) + } + + This proof object has no antecedents. + + - Z3_OP_PR_MODUS_PONENS_OEQ: Modus ponens style rule for equi-satisfiability. + \nicebox{ + T1: p + T2: (~ p q) + [mp~ T1 T2]: q + } + + - Z3_OP_PR_TH_LEMMA: Generic proof for theory lemmas. + + The theory lemma function comes with one or more parameters. + The first parameter indicates the name of the theory. + For the theory of arithmetic, additional parameters provide hints for + checking the theory lemma. + The hints for arithmetic are: + + - farkas - followed by rational coefficients. Multiply the coefficients to the + inequalities in the lemma, add the (negated) inequalities and obtain a contradiction. + + - triangle-eq - Indicates a lemma related to the equivalence: + \nicebox{ + (iff (= t1 t2) (and (<= t1 t2) (<= t2 t1))) + } + + - gcd-test - Indicates an integer linear arithmetic lemma that uses a gcd test. + + + - Z3_OP_PR_HYPER_RESOLVE: Hyper-resolution rule. + + The premises of the rules is a sequence of clauses. + The first clause argument is the main clause of the rule. + with a literal from the first (main) clause. + + Premises of the rules are of the form + \nicebox{ + (or l0 l1 l2 .. ln) + } + or + \nicebox{ + (=> (and l1 l2 .. ln) l0) + } + or in the most general (ground) form: + \nicebox{ + (=> (and ln+1 ln+2 .. ln+m) (or l0 l1 .. ln)) + } + In other words we use the following (Prolog style) convention for Horn + implications: + The head of a Horn implication is position 0, + the first conjunct in the body of an implication is position 1 + the second conjunct in the body of an implication is position 2 + + For general implications where the head is a disjunction, the + first n positions correspond to the n disjuncts in the head. + The next m positions correspond to the m conjuncts in the body. + + The premises can be universally quantified so that the most + general non-ground form is: + + \nicebox{ + (forall (vars) (=> (and ln+1 ln+2 .. ln+m) (or l0 l1 .. ln))) + } + + The hyper-resolution rule takes a sequence of parameters. + The parameters are substitutions of bound variables separated by pairs + of literal positions from the main clause and side clause. + + + - Z3_OP_RA_STORE: Insert a record into a relation. + The function takes \c n+1 arguments, where the first argument is the relation and the remaining \c n elements + correspond to the \c n columns of the relation. + + - Z3_OP_RA_EMPTY: Creates the empty relation. + + - Z3_OP_RA_IS_EMPTY: Tests if the relation is empty. + + - Z3_OP_RA_JOIN: Create the relational join. + + - Z3_OP_RA_UNION: Create the union or convex hull of two relations. + The function takes two arguments. + + - Z3_OP_RA_WIDEN: Widen two relations. + The function takes two arguments. + + - Z3_OP_RA_PROJECT: Project the columns (provided as numbers in the parameters). + The function takes one argument. + + - Z3_OP_RA_FILTER: Filter (restrict) a relation with respect to a predicate. + The first argument is a relation. + The second argument is a predicate with free de-Bruijn indices + corresponding to the columns of the relation. + So the first column in the relation has index 0. + + - Z3_OP_RA_NEGATION_FILTER: Intersect the first relation with respect to negation + of the second relation (the function takes two arguments). + Logically, the specification can be described by a function + + target = filter_by_negation(pos, neg, columns) + + where columns are pairs c1, d1, .., cN, dN of columns from pos and neg, such that + target are elements in x in pos, such that there is no y in neg that agrees with + x on the columns c1, d1, .., cN, dN. + + + - Z3_OP_RA_RENAME: rename columns in the relation. + The function takes one argument. + The parameters contain the renaming as a cycle. + + - Z3_OP_RA_COMPLEMENT: Complement the relation. + + - Z3_OP_RA_SELECT: Check if a record is an element of the relation. + The function takes \c n+1 arguments, where the first argument is a relation, + and the remaining \c n arguments correspond to a record. + + - Z3_OP_RA_CLONE: Create a fresh copy (clone) of a relation. + The function is logically the identity, but + in the context of a register machine allows + for #Z3_OP_RA_UNION to perform destructive updates to the first argument. + + + - Z3_OP_FD_LT: A less than predicate over the finite domain Z3_FINITE_DOMAIN_SORT. + + - Z3_OP_LABEL: A label (used by the Boogie Verification condition generator). + The label has two parameters, a string and a Boolean polarity. + It takes one argument, a formula. + + - Z3_OP_LABEL_LIT: A label literal (used by the Boogie Verification condition generator). + A label literal has a set of string parameters. It takes no arguments. + + - Z3_OP_DT_CONSTRUCTOR: datatype constructor. + + - Z3_OP_DT_RECOGNISER: datatype recognizer. + + - Z3_OP_DT_IS: datatype recognizer. + + - Z3_OP_DT_ACCESSOR: datatype accessor. + + - Z3_OP_DT_UPDATE_FIELD: datatype field update. + + - Z3_OP_PB_AT_MOST: Cardinality constraint. + E.g., x + y + z <= 2 + + - Z3_OP_PB_AT_LEAST: Cardinality constraint. + E.g., x + y + z >= 2 + + - Z3_OP_PB_LE: Generalized Pseudo-Boolean cardinality constraint. + Example 2*x + 3*y <= 4 + + - Z3_OP_PB_GE: Generalized Pseudo-Boolean cardinality constraint. + Example 2*x + 3*y + 2*z >= 4 + + - Z3_OP_PB_EQ: Generalized Pseudo-Boolean equality constraint. + Example 2*x + 1*y + 2*z + 1*u = 4 + + - Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN: Floating-point rounding mode RNE + + - Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY: Floating-point rounding mode RNA + + - Z3_OP_FPA_RM_TOWARD_POSITIVE: Floating-point rounding mode RTP + + - Z3_OP_FPA_RM_TOWARD_NEGATIVE: Floating-point rounding mode RTN + + - Z3_OP_FPA_RM_TOWARD_ZERO: Floating-point rounding mode RTZ + + - Z3_OP_FPA_NUM: Floating-point value + + - Z3_OP_FPA_PLUS_INF: Floating-point +oo + + - Z3_OP_FPA_MINUS_INF: Floating-point -oo + + - Z3_OP_FPA_NAN: Floating-point NaN + + - Z3_OP_FPA_PLUS_ZERO: Floating-point +zero + + - Z3_OP_FPA_MINUS_ZERO: Floating-point -zero + + - Z3_OP_FPA_ADD: Floating-point addition + + - Z3_OP_FPA_SUB: Floating-point subtraction + + - Z3_OP_FPA_NEG: Floating-point negation + + - Z3_OP_FPA_MUL: Floating-point multiplication + + - Z3_OP_FPA_DIV: Floating-point division + + - Z3_OP_FPA_REM: Floating-point remainder + + - Z3_OP_FPA_ABS: Floating-point absolute value + + - Z3_OP_FPA_MIN: Floating-point minimum + + - Z3_OP_FPA_MAX: Floating-point maximum + + - Z3_OP_FPA_FMA: Floating-point fused multiply-add + + - Z3_OP_FPA_SQRT: Floating-point square root + + - Z3_OP_FPA_ROUND_TO_INTEGRAL: Floating-point round to integral + + - Z3_OP_FPA_EQ: Floating-point equality + + - Z3_OP_FPA_LT: Floating-point less than + + - Z3_OP_FPA_GT: Floating-point greater than + + - Z3_OP_FPA_LE: Floating-point less than or equal + + - Z3_OP_FPA_GE: Floating-point greater than or equal + + - Z3_OP_FPA_IS_NAN: Floating-point isNaN + + - Z3_OP_FPA_IS_INF: Floating-point isInfinite + + - Z3_OP_FPA_IS_ZERO: Floating-point isZero + + - Z3_OP_FPA_IS_NORMAL: Floating-point isNormal + + - Z3_OP_FPA_IS_SUBNORMAL: Floating-point isSubnormal + + - Z3_OP_FPA_IS_NEGATIVE: Floating-point isNegative + + - Z3_OP_FPA_IS_POSITIVE: Floating-point isPositive + + - Z3_OP_FPA_FP: Floating-point constructor from 3 bit-vectors + + - Z3_OP_FPA_TO_FP: Floating-point conversion (various) + + - Z3_OP_FPA_TO_FP_UNSIGNED: Floating-point conversion from unsigned bit-vector + + - Z3_OP_FPA_TO_UBV: Floating-point conversion to unsigned bit-vector + + - Z3_OP_FPA_TO_SBV: Floating-point conversion to signed bit-vector + + - Z3_OP_FPA_TO_REAL: Floating-point conversion to real number + + - Z3_OP_FPA_TO_IEEE_BV: Floating-point conversion to IEEE-754 bit-vector + + - Z3_OP_FPA_BVWRAP: (Implicitly) represents the internal bitvector- + representation of a floating-point term (used for the lazy encoding + of non-relevant terms in theory_fpa) + + - Z3_OP_FPA_BV2RM: Conversion of a 3-bit bit-vector term to a + floating-point rounding-mode term + + The conversion uses the following values: + 0 = 000 = Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN, + 1 = 001 = Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY, + 2 = 010 = Z3_OP_FPA_RM_TOWARD_POSITIVE, + 3 = 011 = Z3_OP_FPA_RM_TOWARD_NEGATIVE, + 4 = 100 = Z3_OP_FPA_RM_TOWARD_ZERO. + + - Z3_OP_INTERNAL: internal (often interpreted) symbol, but no additional + information is exposed. Tools may use the string representation of the + function declaration to obtain more information. + + - Z3_OP_UNINTERPRETED: kind used for uninterpreted symbols. +*/ +typedef enum { + // Basic + Z3_OP_TRUE = 0x100, + Z3_OP_FALSE, + Z3_OP_EQ, + Z3_OP_DISTINCT, + Z3_OP_ITE, + Z3_OP_AND, + Z3_OP_OR, + Z3_OP_IFF, + Z3_OP_XOR, + Z3_OP_NOT, + Z3_OP_IMPLIES, + Z3_OP_OEQ, + + // Arithmetic + Z3_OP_ANUM = 0x200, + Z3_OP_AGNUM, + Z3_OP_LE, + Z3_OP_GE, + Z3_OP_LT, + Z3_OP_GT, + Z3_OP_ADD, + Z3_OP_SUB, + Z3_OP_UMINUS, + Z3_OP_MUL, + Z3_OP_DIV, + Z3_OP_IDIV, + Z3_OP_REM, + Z3_OP_MOD, + Z3_OP_TO_REAL, + Z3_OP_TO_INT, + Z3_OP_IS_INT, + Z3_OP_POWER, + + // Arrays & Sets + Z3_OP_STORE = 0x300, + Z3_OP_SELECT, + Z3_OP_CONST_ARRAY, + Z3_OP_ARRAY_MAP, + Z3_OP_ARRAY_DEFAULT, + Z3_OP_SET_UNION, + Z3_OP_SET_INTERSECT, + Z3_OP_SET_DIFFERENCE, + Z3_OP_SET_COMPLEMENT, + Z3_OP_SET_SUBSET, + Z3_OP_AS_ARRAY, + Z3_OP_ARRAY_EXT, + + // Bit-vectors + Z3_OP_BNUM = 0x400, + Z3_OP_BIT1, + Z3_OP_BIT0, + Z3_OP_BNEG, + Z3_OP_BADD, + Z3_OP_BSUB, + Z3_OP_BMUL, + + Z3_OP_BSDIV, + Z3_OP_BUDIV, + Z3_OP_BSREM, + Z3_OP_BUREM, + Z3_OP_BSMOD, + + // special functions to record the division by 0 cases + // these are internal functions + Z3_OP_BSDIV0, + Z3_OP_BUDIV0, + Z3_OP_BSREM0, + Z3_OP_BUREM0, + Z3_OP_BSMOD0, + + Z3_OP_ULEQ, + Z3_OP_SLEQ, + Z3_OP_UGEQ, + Z3_OP_SGEQ, + Z3_OP_ULT, + Z3_OP_SLT, + Z3_OP_UGT, + Z3_OP_SGT, + + Z3_OP_BAND, + Z3_OP_BOR, + Z3_OP_BNOT, + Z3_OP_BXOR, + Z3_OP_BNAND, + Z3_OP_BNOR, + Z3_OP_BXNOR, + + Z3_OP_CONCAT, + Z3_OP_SIGN_EXT, + Z3_OP_ZERO_EXT, + Z3_OP_EXTRACT, + Z3_OP_REPEAT, + + Z3_OP_BREDOR, + Z3_OP_BREDAND, + Z3_OP_BCOMP, + + Z3_OP_BSHL, + Z3_OP_BLSHR, + Z3_OP_BASHR, + Z3_OP_ROTATE_LEFT, + Z3_OP_ROTATE_RIGHT, + Z3_OP_EXT_ROTATE_LEFT, + Z3_OP_EXT_ROTATE_RIGHT, + + Z3_OP_BIT2BOOL, + Z3_OP_INT2BV, + Z3_OP_BV2INT, + Z3_OP_CARRY, + Z3_OP_XOR3, + + Z3_OP_BSMUL_NO_OVFL, + Z3_OP_BUMUL_NO_OVFL, + Z3_OP_BSMUL_NO_UDFL, + Z3_OP_BSDIV_I, + Z3_OP_BUDIV_I, + Z3_OP_BSREM_I, + Z3_OP_BUREM_I, + Z3_OP_BSMOD_I, + + // Proofs + Z3_OP_PR_UNDEF = 0x500, + Z3_OP_PR_TRUE, + Z3_OP_PR_ASSERTED, + Z3_OP_PR_GOAL, + Z3_OP_PR_MODUS_PONENS, + Z3_OP_PR_REFLEXIVITY, + Z3_OP_PR_SYMMETRY, + Z3_OP_PR_TRANSITIVITY, + Z3_OP_PR_TRANSITIVITY_STAR, + Z3_OP_PR_MONOTONICITY, + Z3_OP_PR_QUANT_INTRO, + Z3_OP_PR_BIND, + Z3_OP_PR_DISTRIBUTIVITY, + Z3_OP_PR_AND_ELIM, + Z3_OP_PR_NOT_OR_ELIM, + Z3_OP_PR_REWRITE, + Z3_OP_PR_REWRITE_STAR, + Z3_OP_PR_PULL_QUANT, + Z3_OP_PR_PUSH_QUANT, + Z3_OP_PR_ELIM_UNUSED_VARS, + Z3_OP_PR_DER, + Z3_OP_PR_QUANT_INST, + Z3_OP_PR_HYPOTHESIS, + Z3_OP_PR_LEMMA, + Z3_OP_PR_UNIT_RESOLUTION, + Z3_OP_PR_IFF_TRUE, + Z3_OP_PR_IFF_FALSE, + Z3_OP_PR_COMMUTATIVITY, + Z3_OP_PR_DEF_AXIOM, + Z3_OP_PR_DEF_INTRO, + Z3_OP_PR_APPLY_DEF, + Z3_OP_PR_IFF_OEQ, + Z3_OP_PR_NNF_POS, + Z3_OP_PR_NNF_NEG, + Z3_OP_PR_SKOLEMIZE, + Z3_OP_PR_MODUS_PONENS_OEQ, + Z3_OP_PR_TH_LEMMA, + Z3_OP_PR_HYPER_RESOLVE, + + // Relational algebra + Z3_OP_RA_STORE = 0x600, + Z3_OP_RA_EMPTY, + Z3_OP_RA_IS_EMPTY, + Z3_OP_RA_JOIN, + Z3_OP_RA_UNION, + Z3_OP_RA_WIDEN, + Z3_OP_RA_PROJECT, + Z3_OP_RA_FILTER, + Z3_OP_RA_NEGATION_FILTER, + Z3_OP_RA_RENAME, + Z3_OP_RA_COMPLEMENT, + Z3_OP_RA_SELECT, + Z3_OP_RA_CLONE, + Z3_OP_FD_CONSTANT, + Z3_OP_FD_LT, + + // Sequences + Z3_OP_SEQ_UNIT, + Z3_OP_SEQ_EMPTY, + Z3_OP_SEQ_CONCAT, + Z3_OP_SEQ_PREFIX, + Z3_OP_SEQ_SUFFIX, + Z3_OP_SEQ_CONTAINS, + Z3_OP_SEQ_EXTRACT, + Z3_OP_SEQ_REPLACE, + Z3_OP_SEQ_AT, + Z3_OP_SEQ_LENGTH, + Z3_OP_SEQ_INDEX, + Z3_OP_SEQ_TO_RE, + Z3_OP_SEQ_IN_RE, + + // strings + Z3_OP_STR_TO_INT, + Z3_OP_INT_TO_STR, + + // regular expressions + Z3_OP_RE_PLUS, + Z3_OP_RE_STAR, + Z3_OP_RE_OPTION, + Z3_OP_RE_CONCAT, + Z3_OP_RE_UNION, + Z3_OP_RE_RANGE, + Z3_OP_RE_LOOP, + Z3_OP_RE_INTERSECT, + Z3_OP_RE_EMPTY_SET, + Z3_OP_RE_FULL_SET, + Z3_OP_RE_COMPLEMENT, + + // Auxiliary + Z3_OP_LABEL = 0x700, + Z3_OP_LABEL_LIT, + + // Datatypes + Z3_OP_DT_CONSTRUCTOR=0x800, + Z3_OP_DT_RECOGNISER, + Z3_OP_DT_IS, + Z3_OP_DT_ACCESSOR, + Z3_OP_DT_UPDATE_FIELD, + + // Pseudo Booleans + Z3_OP_PB_AT_MOST=0x900, + Z3_OP_PB_AT_LEAST, + Z3_OP_PB_LE, + Z3_OP_PB_GE, + Z3_OP_PB_EQ, + + // Floating-Point Arithmetic + Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN, + Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY, + Z3_OP_FPA_RM_TOWARD_POSITIVE, + Z3_OP_FPA_RM_TOWARD_NEGATIVE, + Z3_OP_FPA_RM_TOWARD_ZERO, + + Z3_OP_FPA_NUM, + Z3_OP_FPA_PLUS_INF, + Z3_OP_FPA_MINUS_INF, + Z3_OP_FPA_NAN, + Z3_OP_FPA_PLUS_ZERO, + Z3_OP_FPA_MINUS_ZERO, + + Z3_OP_FPA_ADD, + Z3_OP_FPA_SUB, + Z3_OP_FPA_NEG, + Z3_OP_FPA_MUL, + Z3_OP_FPA_DIV, + Z3_OP_FPA_REM, + Z3_OP_FPA_ABS, + Z3_OP_FPA_MIN, + Z3_OP_FPA_MAX, + Z3_OP_FPA_FMA, + Z3_OP_FPA_SQRT, + Z3_OP_FPA_ROUND_TO_INTEGRAL, + + Z3_OP_FPA_EQ, + Z3_OP_FPA_LT, + Z3_OP_FPA_GT, + Z3_OP_FPA_LE, + Z3_OP_FPA_GE, + Z3_OP_FPA_IS_NAN, + Z3_OP_FPA_IS_INF, + Z3_OP_FPA_IS_ZERO, + Z3_OP_FPA_IS_NORMAL, + Z3_OP_FPA_IS_SUBNORMAL, + Z3_OP_FPA_IS_NEGATIVE, + Z3_OP_FPA_IS_POSITIVE, + + Z3_OP_FPA_FP, + Z3_OP_FPA_TO_FP, + Z3_OP_FPA_TO_FP_UNSIGNED, + Z3_OP_FPA_TO_UBV, + Z3_OP_FPA_TO_SBV, + Z3_OP_FPA_TO_REAL, + + Z3_OP_FPA_TO_IEEE_BV, + + Z3_OP_FPA_BVWRAP, + Z3_OP_FPA_BV2RM, + + Z3_OP_INTERNAL, + + Z3_OP_UNINTERPRETED +} Z3_decl_kind; + +/** + \brief The different kinds of parameters that can be associated with parameter sets. + (see #Z3_mk_params). + + - Z3_PK_UINT integer parameters. + - Z3_PK_BOOL boolean parameters. + - Z3_PK_DOUBLE double parameters. + - Z3_PK_SYMBOL symbol parameters. + - Z3_PK_STRING string parameters. + - Z3_PK_OTHER all internal parameter kinds which are not exposed in the API. + - Z3_PK_INVALID invalid parameter. +*/ +typedef enum { + Z3_PK_UINT, + Z3_PK_BOOL, + Z3_PK_DOUBLE, + Z3_PK_SYMBOL, + Z3_PK_STRING, + Z3_PK_OTHER, + Z3_PK_INVALID +} Z3_param_kind; + +/** + \brief Z3 pretty printing modes (See #Z3_set_ast_print_mode). + + - Z3_PRINT_SMTLIB_FULL: Print AST nodes in SMTLIB verbose format. + - Z3_PRINT_LOW_LEVEL: Print AST nodes using a low-level format. + - Z3_PRINT_SMTLIB2_COMPLIANT: Print AST nodes in SMTLIB 2.x compliant format. +*/ +typedef enum { + Z3_PRINT_SMTLIB_FULL, + Z3_PRINT_LOW_LEVEL, + Z3_PRINT_SMTLIB2_COMPLIANT +} Z3_ast_print_mode; + + +/** + \brief Z3 error codes (See #Z3_get_error_code). + + - Z3_OK: No error. + - Z3_SORT_ERROR: User tried to build an invalid (type incorrect) AST. + - Z3_IOB: Index out of bounds. + - Z3_INVALID_ARG: Invalid argument was provided. + - Z3_PARSER_ERROR: An error occurred when parsing a string or file. + - Z3_NO_PARSER: Parser output is not available, that is, user didn't invoke #Z3_parse_smtlib2_string or #Z3_parse_smtlib2_file. + - Z3_INVALID_PATTERN: Invalid pattern was used to build a quantifier. + - Z3_MEMOUT_FAIL: A memory allocation failure was encountered. + - Z3_FILE_ACCESS_ERRROR: A file could not be accessed. + - Z3_INVALID_USAGE: API call is invalid in the current state. + - Z3_INTERNAL_FATAL: An error internal to Z3 occurred. + - Z3_DEC_REF_ERROR: Trying to decrement the reference counter of an AST that was deleted or the reference counter was not initialized with #Z3_inc_ref. + - Z3_EXCEPTION: Internal Z3 exception. Additional details can be retrieved using #Z3_get_error_msg. +*/ +typedef enum +{ + Z3_OK, + Z3_SORT_ERROR, + Z3_IOB, + Z3_INVALID_ARG, + Z3_PARSER_ERROR, + Z3_NO_PARSER, + Z3_INVALID_PATTERN, + Z3_MEMOUT_FAIL, + Z3_FILE_ACCESS_ERROR, + Z3_INTERNAL_FATAL, + Z3_INVALID_USAGE, + Z3_DEC_REF_ERROR, + Z3_EXCEPTION +} Z3_error_code; + +/** + Definitions for update_api.py + + def_Type('CONFIG', 'Z3_config', 'Config') + def_Type('CONTEXT', 'Z3_context', 'ContextObj') + def_Type('AST', 'Z3_ast', 'Ast') + def_Type('APP', 'Z3_app', 'Ast') + def_Type('SORT', 'Z3_sort', 'Sort') + def_Type('FUNC_DECL', 'Z3_func_decl', 'FuncDecl') + def_Type('PATTERN', 'Z3_pattern', 'Pattern') + def_Type('MODEL', 'Z3_model', 'Model') + def_Type('LITERALS', 'Z3_literals', 'Literals') + def_Type('CONSTRUCTOR', 'Z3_constructor', 'Constructor') + def_Type('CONSTRUCTOR_LIST', 'Z3_constructor_list', 'ConstructorList') + def_Type('SOLVER', 'Z3_solver', 'SolverObj') + def_Type('GOAL', 'Z3_goal', 'GoalObj') + def_Type('TACTIC', 'Z3_tactic', 'TacticObj') + def_Type('PARAMS', 'Z3_params', 'Params') + def_Type('PROBE', 'Z3_probe', 'ProbeObj') + def_Type('STATS', 'Z3_stats', 'StatsObj') + def_Type('AST_VECTOR', 'Z3_ast_vector', 'AstVectorObj') + def_Type('AST_MAP', 'Z3_ast_map', 'AstMapObj') + def_Type('APPLY_RESULT', 'Z3_apply_result', 'ApplyResultObj') + def_Type('FUNC_INTERP', 'Z3_func_interp', 'FuncInterpObj') + def_Type('FUNC_ENTRY', 'Z3_func_entry', 'FuncEntryObj') + def_Type('FIXEDPOINT', 'Z3_fixedpoint', 'FixedpointObj') + def_Type('OPTIMIZE', 'Z3_optimize', 'OptimizeObj') + def_Type('PARAM_DESCRS', 'Z3_param_descrs', 'ParamDescrs') + def_Type('RCF_NUM', 'Z3_rcf_num', 'RCFNumObj') +*/ + +/** + \brief Z3 custom error handler (See #Z3_set_error_handler). +*/ +typedef void Z3_error_handler(Z3_context c, Z3_error_code e); + +/** + \brief A Goal is essentially a set of formulas. + Z3 provide APIs for building strategies/tactics for solving and transforming Goals. + Some of these transformations apply under/over approximations. + + - Z3_GOAL_PRECISE: Approximations/Relaxations were not applied on the goal (sat and unsat answers were preserved). + - Z3_GOAL_UNDER: Goal is the product of a under-approximation (sat answers are preserved). + - Z3_GOAL_OVER: Goal is the product of an over-approximation (unsat answers are preserved). + - Z3_GOAL_UNDER_OVER: Goal is garbage (it is the product of over- and under-approximations, sat and unsat answers are not preserved). +*/ +typedef enum +{ + Z3_GOAL_PRECISE, + Z3_GOAL_UNDER, + Z3_GOAL_OVER, + Z3_GOAL_UNDER_OVER +} Z3_goal_prec; + +/*@}*/ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** @name Global Parameters */ + + /*@{*/ + /** + \brief Set a global (or module) parameter. + This setting is shared by all Z3 contexts. + + When a Z3 module is initialized it will use the value of these parameters + when Z3_params objects are not provided. + + The name of parameter can be composed of characters [a-z][A-Z], digits [0-9], '-' and '_'. + The character '.' is a delimiter (more later). + + The parameter names are case-insensitive. The character '-' should be viewed as an "alias" for '_'. + Thus, the following parameter names are considered equivalent: "pp.decimal-precision" and "PP.DECIMAL_PRECISION". + + This function can be used to set parameters for a specific Z3 module. + This can be done by using <module-name>.<parameter-name>. + For example: + Z3_global_param_set('pp.decimal', 'true') + will set the parameter "decimal" in the module "pp" to true. + + def_API('Z3_global_param_set', VOID, (_in(STRING), _in(STRING))) + */ + void Z3_API Z3_global_param_set(Z3_string param_id, Z3_string param_value); + + + /** + \brief Restore the value of all global (and module) parameters. + This command will not affect already created objects (such as tactics and solvers). + + \sa Z3_global_param_set + + def_API('Z3_global_param_reset_all', VOID, ()) + */ + void Z3_API Z3_global_param_reset_all(void); + + /** + \brief Get a global (or module) parameter. + + Returns \c false if the parameter value does not exist. + + \sa Z3_global_param_set + + \remark This function cannot be invoked simultaneously from different threads without synchronization. + The result string stored in param_value is stored in shared location. + + def_API('Z3_global_param_get', BOOL, (_in(STRING), _out(STRING))) + */ + Z3_bool_opt Z3_API Z3_global_param_get(Z3_string param_id, Z3_string_ptr param_value); + + /*@}*/ + + /** @name Create configuration */ + /*@{*/ + + /** + \brief Create a configuration object for the Z3 context object. + + Configurations are created in order to assign parameters prior to creating + contexts for Z3 interaction. For example, if the users wishes to use proof + generation, then call: + + \ccode{Z3_set_param_value(cfg\, "proof"\, "true")} + + \remark In previous versions of Z3, the \c Z3_config was used to store + global and module configurations. Now, we should use \c Z3_global_param_set. + + The following parameters can be set: + + - proof (Boolean) Enable proof generation + - debug_ref_count (Boolean) Enable debug support for Z3_ast reference counting + - trace (Boolean) Tracing support for VCC + - trace_file_name (String) Trace out file for VCC traces + - timeout (unsigned) default timeout (in milliseconds) used for solvers + - well_sorted_check type checker + - auto_config use heuristics to automatically select solver and configure it + - model model generation for solvers, this parameter can be overwritten when creating a solver + - model_validate validate models produced by solvers + - unsat_core unsat-core generation for solvers, this parameter can be overwritten when creating a solver + + \sa Z3_set_param_value + \sa Z3_del_config + + def_API('Z3_mk_config', CONFIG, ()) + */ + Z3_config Z3_API Z3_mk_config(void); + + /** + \brief Delete the given configuration object. + + \sa Z3_mk_config + + def_API('Z3_del_config', VOID, (_in(CONFIG),)) + */ + void Z3_API Z3_del_config(Z3_config c); + + /** + \brief Set a configuration parameter. + + The following parameters can be set for + + \sa Z3_mk_config + + def_API('Z3_set_param_value', VOID, (_in(CONFIG), _in(STRING), _in(STRING))) + */ + void Z3_API Z3_set_param_value(Z3_config c, Z3_string param_id, Z3_string param_value); + + /*@}*/ + + /** @name Context and AST Reference Counting */ + /*@{*/ + + /** + \brief Create a context using the given configuration. + + After a context is created, the configuration cannot be changed, + although some parameters can be changed using #Z3_update_param_value. + All main interaction with Z3 happens in the context of a \c Z3_context. + + In contrast to #Z3_mk_context_rc, the life time of \c Z3_ast objects + are determined by the scope level of #Z3_solver_push and #Z3_solver_pop. + In other words, a \c Z3_ast object remains valid until there is a + call to #Z3_solver_pop that takes the current scope below the level where + the object was created. + + Note that all other reference counted objects, including \c Z3_model, + \c Z3_solver, \c Z3_func_interp have to be managed by the caller. + Their reference counts are not handled by the context. + + Further remarks: + - \c Z3_sort, \c Z3_func_decl, \c Z3_app, \c Z3_pattern are \c Z3_ast's. + - Z3 uses hash-consing, i.e., when the same \c Z3_ast is created twice, + Z3 will return the same pointer twice. + + \sa Z3_del_context + + def_API('Z3_mk_context', CONTEXT, (_in(CONFIG),)) + */ + Z3_context Z3_API Z3_mk_context(Z3_config c); + + /** + \brief Create a context using the given configuration. + This function is similar to #Z3_mk_context. However, + in the context returned by this function, the user + is responsible for managing \c Z3_ast reference counters. + Managing reference counters is a burden and error-prone, + but allows the user to use the memory more efficiently. + The user must invoke #Z3_inc_ref for any \c Z3_ast returned + by Z3, and #Z3_dec_ref whenever the \c Z3_ast is not needed + anymore. This idiom is similar to the one used in + BDD (binary decision diagrams) packages such as CUDD. + + Remarks: + + - \c Z3_sort, \c Z3_func_decl, \c Z3_app, \c Z3_pattern are \c Z3_ast's. + - After a context is created, the configuration cannot be changed. + - All main interaction with Z3 happens in the context of a \c Z3_context. + - Z3 uses hash-consing, i.e., when the same \c Z3_ast is created twice, + Z3 will return the same pointer twice. + + def_API('Z3_mk_context_rc', CONTEXT, (_in(CONFIG),)) + */ + Z3_context Z3_API Z3_mk_context_rc(Z3_config c); + + /** + \brief Delete the given logical context. + + \sa Z3_mk_context + + def_API('Z3_del_context', VOID, (_in(CONTEXT),)) + */ + void Z3_API Z3_del_context(Z3_context c); + + /** + \brief Increment the reference counter of the given AST. + The context \c c should have been created using #Z3_mk_context_rc. + This function is a NOOP if \c c was created using #Z3_mk_context. + + def_API('Z3_inc_ref', VOID, (_in(CONTEXT), _in(AST))) + */ + void Z3_API Z3_inc_ref(Z3_context c, Z3_ast a); + + /** + \brief Decrement the reference counter of the given AST. + The context \c c should have been created using #Z3_mk_context_rc. + This function is a NOOP if \c c was created using #Z3_mk_context. + + def_API('Z3_dec_ref', VOID, (_in(CONTEXT), _in(AST))) + */ + void Z3_API Z3_dec_ref(Z3_context c, Z3_ast a); + + /** + \brief Set a value of a context parameter. + + \sa Z3_global_param_set + + def_API('Z3_update_param_value', VOID, (_in(CONTEXT), _in(STRING), _in(STRING))) + */ + void Z3_API Z3_update_param_value(Z3_context c, Z3_string param_id, Z3_string param_value); + + /** + \brief Interrupt the execution of a Z3 procedure. + This procedure can be used to interrupt: solvers, simplifiers and tactics. + + def_API('Z3_interrupt', VOID, (_in(CONTEXT),)) + */ + void Z3_API Z3_interrupt(Z3_context c); + + + /*@}*/ + + /** @name Parameters */ + /*@{*/ + + /** + \brief Create a Z3 (empty) parameter set. + Starting at Z3 4.0, parameter sets are used to configure many components such as: + simplifiers, tactics, solvers, etc. + + \remark Reference counting must be used to manage parameter sets, even when the \c Z3_context was + created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_params', PARAMS, (_in(CONTEXT),)) + */ + Z3_params Z3_API Z3_mk_params(Z3_context c); + + /** + \brief Increment the reference counter of the given parameter set. + + def_API('Z3_params_inc_ref', VOID, (_in(CONTEXT), _in(PARAMS))) + */ + void Z3_API Z3_params_inc_ref(Z3_context c, Z3_params p); + + /** + \brief Decrement the reference counter of the given parameter set. + + def_API('Z3_params_dec_ref', VOID, (_in(CONTEXT), _in(PARAMS))) + */ + void Z3_API Z3_params_dec_ref(Z3_context c, Z3_params p); + + /** + \brief Add a Boolean parameter \c k with value \c v to the parameter set \c p. + + def_API('Z3_params_set_bool', VOID, (_in(CONTEXT), _in(PARAMS), _in(SYMBOL), _in(BOOL))) + */ + void Z3_API Z3_params_set_bool(Z3_context c, Z3_params p, Z3_symbol k, bool v); + + /** + \brief Add a unsigned parameter \c k with value \c v to the parameter set \c p. + + def_API('Z3_params_set_uint', VOID, (_in(CONTEXT), _in(PARAMS), _in(SYMBOL), _in(UINT))) + */ + void Z3_API Z3_params_set_uint(Z3_context c, Z3_params p, Z3_symbol k, unsigned v); + + /** + \brief Add a double parameter \c k with value \c v to the parameter set \c p. + + def_API('Z3_params_set_double', VOID, (_in(CONTEXT), _in(PARAMS), _in(SYMBOL), _in(DOUBLE))) + */ + void Z3_API Z3_params_set_double(Z3_context c, Z3_params p, Z3_symbol k, double v); + + /** + \brief Add a symbol parameter \c k with value \c v to the parameter set \c p. + + def_API('Z3_params_set_symbol', VOID, (_in(CONTEXT), _in(PARAMS), _in(SYMBOL), _in(SYMBOL))) + */ + void Z3_API Z3_params_set_symbol(Z3_context c, Z3_params p, Z3_symbol k, Z3_symbol v); + + /** + \brief Convert a parameter set into a string. This function is mainly used for printing the + contents of a parameter set. + + def_API('Z3_params_to_string', STRING, (_in(CONTEXT), _in(PARAMS))) + */ + Z3_string Z3_API Z3_params_to_string(Z3_context c, Z3_params p); + + /** + \brief Validate the parameter set \c p against the parameter description set \c d. + + The procedure invokes the error handler if \c p is invalid. + + def_API('Z3_params_validate', VOID, (_in(CONTEXT), _in(PARAMS), _in(PARAM_DESCRS))) + */ + void Z3_API Z3_params_validate(Z3_context c, Z3_params p, Z3_param_descrs d); + + /*@}*/ + + /** @name Parameter Descriptions */ + /*@{*/ + + /** + \brief Increment the reference counter of the given parameter description set. + + def_API('Z3_param_descrs_inc_ref', VOID, (_in(CONTEXT), _in(PARAM_DESCRS))) + */ + void Z3_API Z3_param_descrs_inc_ref(Z3_context c, Z3_param_descrs p); + + /** + \brief Decrement the reference counter of the given parameter description set. + + def_API('Z3_param_descrs_dec_ref', VOID, (_in(CONTEXT), _in(PARAM_DESCRS))) + */ + void Z3_API Z3_param_descrs_dec_ref(Z3_context c, Z3_param_descrs p); + + /** + \brief Return the kind associated with the given parameter name \c n. + + def_API('Z3_param_descrs_get_kind', UINT, (_in(CONTEXT), _in(PARAM_DESCRS), _in(SYMBOL))) + */ + Z3_param_kind Z3_API Z3_param_descrs_get_kind(Z3_context c, Z3_param_descrs p, Z3_symbol n); + + /** + \brief Return the number of parameters in the given parameter description set. + + def_API('Z3_param_descrs_size', UINT, (_in(CONTEXT), _in(PARAM_DESCRS))) + */ + unsigned Z3_API Z3_param_descrs_size(Z3_context c, Z3_param_descrs p); + + /** + \brief Return the name of the parameter at given index \c i. + + \pre i < Z3_param_descrs_size(c, p) + + def_API('Z3_param_descrs_get_name', SYMBOL, (_in(CONTEXT), _in(PARAM_DESCRS), _in(UINT))) + */ + Z3_symbol Z3_API Z3_param_descrs_get_name(Z3_context c, Z3_param_descrs p, unsigned i); + + /** + \brief Retrieve documentation string corresponding to parameter name \c s. + + def_API('Z3_param_descrs_get_documentation', STRING, (_in(CONTEXT), _in(PARAM_DESCRS), _in(SYMBOL))) + */ + Z3_string Z3_API Z3_param_descrs_get_documentation(Z3_context c, Z3_param_descrs p, Z3_symbol s); + + /** + \brief Convert a parameter description set into a string. This function is mainly used for printing the + contents of a parameter description set. + + def_API('Z3_param_descrs_to_string', STRING, (_in(CONTEXT), _in(PARAM_DESCRS))) + */ + Z3_string Z3_API Z3_param_descrs_to_string(Z3_context c, Z3_param_descrs p); + + /*@}*/ + + /** @name Symbols */ + /*@{*/ + + /** + \brief Create a Z3 symbol using an integer. + + Symbols are used to name several term and type constructors. + + NB. Not all integers can be passed to this function. + The legal range of unsigned integers is 0 to 2^30-1. + + \sa Z3_get_symbol_int + \sa Z3_mk_string_symbol + + def_API('Z3_mk_int_symbol', SYMBOL, (_in(CONTEXT), _in(INT))) + */ + Z3_symbol Z3_API Z3_mk_int_symbol(Z3_context c, int i); + + /** + \brief Create a Z3 symbol using a C string. + + Symbols are used to name several term and type constructors. + + \sa Z3_get_symbol_string + \sa Z3_mk_int_symbol + + def_API('Z3_mk_string_symbol', SYMBOL, (_in(CONTEXT), _in(STRING))) + */ + Z3_symbol Z3_API Z3_mk_string_symbol(Z3_context c, Z3_string s); + + /*@}*/ + + /** @name Sorts */ + /*@{*/ + + /** + \brief Create a free (uninterpreted) type using the given name (symbol). + + Two free types are considered the same iff the have the same name. + + def_API('Z3_mk_uninterpreted_sort', SORT, (_in(CONTEXT), _in(SYMBOL))) + */ + Z3_sort Z3_API Z3_mk_uninterpreted_sort(Z3_context c, Z3_symbol s); + + /** + \brief Create the Boolean type. + + This type is used to create propositional variables and predicates. + + def_API('Z3_mk_bool_sort', SORT, (_in(CONTEXT), )) + */ + Z3_sort Z3_API Z3_mk_bool_sort(Z3_context c); + + /** + \brief Create the integer type. + + This type is not the int type found in programming languages. + A machine integer can be represented using bit-vectors. The function + #Z3_mk_bv_sort creates a bit-vector type. + + \sa Z3_mk_bv_sort + + def_API('Z3_mk_int_sort', SORT, (_in(CONTEXT), )) + */ + Z3_sort Z3_API Z3_mk_int_sort(Z3_context c); + + /** + \brief Create the real type. + + Note that this type is not a floating point number. + + def_API('Z3_mk_real_sort', SORT, (_in(CONTEXT), )) + */ + Z3_sort Z3_API Z3_mk_real_sort(Z3_context c); + + /** + \brief Create a bit-vector type of the given size. + + This type can also be seen as a machine integer. + + \remark The size of the bit-vector type must be greater than zero. + + def_API('Z3_mk_bv_sort', SORT, (_in(CONTEXT), _in(UINT))) + */ + Z3_sort Z3_API Z3_mk_bv_sort(Z3_context c, unsigned sz); + + /** + \brief Create a named finite domain sort. + + To create constants that belong to the finite domain, + use the APIs for creating numerals and pass a numeric + constant together with the sort returned by this call. + The numeric constant should be between 0 and the less + than the size of the domain. + + \sa Z3_get_finite_domain_sort_size + + def_API('Z3_mk_finite_domain_sort', SORT, (_in(CONTEXT), _in(SYMBOL), _in(UINT64))) + */ + Z3_sort Z3_API Z3_mk_finite_domain_sort(Z3_context c, Z3_symbol name, uint64_t size); + + /** + \brief Create an array type. + + We usually represent the array type as: \ccode{[domain -> range]}. + Arrays are usually used to model the heap/memory in software verification. + + \sa Z3_mk_select + \sa Z3_mk_store + + def_API('Z3_mk_array_sort', SORT, (_in(CONTEXT), _in(SORT), _in(SORT))) + */ + Z3_sort Z3_API Z3_mk_array_sort(Z3_context c, Z3_sort domain, Z3_sort range); + + /** + \brief Create an array type with N arguments + + \sa Z3_mk_select_n + \sa Z3_mk_store_n + + def_API('Z3_mk_array_sort_n', SORT, (_in(CONTEXT), _in(UINT), _in_array(1, SORT), _in(SORT))) + */ + Z3_sort Z3_API Z3_mk_array_sort_n(Z3_context c, unsigned n, Z3_sort const * domain, Z3_sort range); + + /** + \brief Create a tuple type. + + A tuple with \c n fields has a constructor and \c n projections. + This function will also declare the constructor and projection functions. + + \param c logical context + \param mk_tuple_name name of the constructor function associated with the tuple type. + \param num_fields number of fields in the tuple type. + \param field_names name of the projection functions. + \param field_sorts type of the tuple fields. + \param mk_tuple_decl output parameter that will contain the constructor declaration. + \param proj_decl output parameter that will contain the projection function declarations. This field must be a buffer of size \c num_fields allocated by the user. + + def_API('Z3_mk_tuple_sort', SORT, (_in(CONTEXT), _in(SYMBOL), _in(UINT), _in_array(2, SYMBOL), _in_array(2, SORT), _out(FUNC_DECL), _out_array(2, FUNC_DECL))) + */ + Z3_sort Z3_API Z3_mk_tuple_sort(Z3_context c, + Z3_symbol mk_tuple_name, + unsigned num_fields, + Z3_symbol const field_names[], + Z3_sort const field_sorts[], + Z3_func_decl * mk_tuple_decl, + Z3_func_decl proj_decl[]); + + /** + \brief Create a enumeration sort. + + An enumeration sort with \c n elements. + This function will also declare the functions corresponding to the enumerations. + + \param c logical context + \param name name of the enumeration sort. + \param n number of elements in enumeration sort. + \param enum_names names of the enumerated elements. + \param enum_consts constants corresponding to the enumerated elements. + \param enum_testers predicates testing if terms of the enumeration sort correspond to an enumeration. + + For example, if this function is called with three symbols A, B, C and the name S, then + \c s is a sort whose name is S, and the function returns three terms corresponding to A, B, C in + \c enum_consts. The array \c enum_testers has three predicates of type \ccode{(s -> Bool)}. + The first predicate (corresponding to A) is true when applied to A, and false otherwise. + Similarly for the other predicates. + + def_API('Z3_mk_enumeration_sort', SORT, (_in(CONTEXT), _in(SYMBOL), _in(UINT), _in_array(2, SYMBOL), _out_array(2, FUNC_DECL), _out_array(2, FUNC_DECL))) + */ + Z3_sort Z3_API Z3_mk_enumeration_sort(Z3_context c, + Z3_symbol name, + unsigned n, + Z3_symbol const enum_names[], + Z3_func_decl enum_consts[], + Z3_func_decl enum_testers[]); + + /** + \brief Create a list sort + + A list sort over \c elem_sort + This function declares the corresponding constructors and testers for lists. + + \param c logical context + \param name name of the list sort. + \param elem_sort sort of list elements. + \param nil_decl declaration for the empty list. + \param is_nil_decl test for the empty list. + \param cons_decl declaration for a cons cell. + \param is_cons_decl cons cell test. + \param head_decl list head. + \param tail_decl list tail. + + def_API('Z3_mk_list_sort', SORT, (_in(CONTEXT), _in(SYMBOL), _in(SORT), _out(FUNC_DECL), _out(FUNC_DECL), _out(FUNC_DECL), _out(FUNC_DECL), _out(FUNC_DECL), _out(FUNC_DECL))) + */ + Z3_sort Z3_API Z3_mk_list_sort(Z3_context c, + Z3_symbol name, + Z3_sort elem_sort, + Z3_func_decl* nil_decl, + Z3_func_decl* is_nil_decl, + Z3_func_decl* cons_decl, + Z3_func_decl* is_cons_decl, + Z3_func_decl* head_decl, + Z3_func_decl* tail_decl + ); + + /** + \brief Create a constructor. + + \param c logical context. + \param name constructor name. + \param recognizer name of recognizer function. + \param num_fields number of fields in constructor. + \param field_names names of the constructor fields. + \param sorts field sorts, 0 if the field sort refers to a recursive sort. + \param sort_refs reference to datatype sort that is an argument to the constructor; if the corresponding + sort reference is 0, then the value in sort_refs should be an index referring to + one of the recursive datatypes that is declared. + + def_API('Z3_mk_constructor', CONSTRUCTOR, (_in(CONTEXT), _in(SYMBOL), _in(SYMBOL), _in(UINT), _in_array(3, SYMBOL), _in_array(3, SORT), _in_array(3, UINT))) + */ + Z3_constructor Z3_API Z3_mk_constructor(Z3_context c, + Z3_symbol name, + Z3_symbol recognizer, + unsigned num_fields, + Z3_symbol const field_names[], + Z3_sort_opt const sorts[], + unsigned sort_refs[] + ); + + /** + \brief Reclaim memory allocated to constructor. + + \param c logical context. + \param constr constructor. + + def_API('Z3_del_constructor', VOID, (_in(CONTEXT), _in(CONSTRUCTOR))) + */ + void Z3_API Z3_del_constructor(Z3_context c, Z3_constructor constr); + + /** + \brief Create datatype, such as lists, trees, records, enumerations or unions of records. + The datatype may be recursive. Return the datatype sort. + + \param c logical context. + \param name name of datatype. + \param num_constructors number of constructors passed in. + \param constructors array of constructor containers. + + def_API('Z3_mk_datatype', SORT, (_in(CONTEXT), _in(SYMBOL), _in(UINT), _inout_array(2, CONSTRUCTOR))) + */ + Z3_sort Z3_API Z3_mk_datatype(Z3_context c, + Z3_symbol name, + unsigned num_constructors, + Z3_constructor constructors[]); + + /** + \brief Create list of constructors. + + \param c logical context. + \param num_constructors number of constructors in list. + \param constructors list of constructors. + + def_API('Z3_mk_constructor_list', CONSTRUCTOR_LIST, (_in(CONTEXT), _in(UINT), _in_array(1, CONSTRUCTOR))) + */ + Z3_constructor_list Z3_API Z3_mk_constructor_list(Z3_context c, + unsigned num_constructors, + Z3_constructor const constructors[]); + + /** + \brief Reclaim memory allocated for constructor list. + + Each constructor inside the constructor list must be independently reclaimed using #Z3_del_constructor. + + \param c logical context. + \param clist constructor list container. + + def_API('Z3_del_constructor_list', VOID, (_in(CONTEXT), _in(CONSTRUCTOR_LIST))) + */ + void Z3_API Z3_del_constructor_list(Z3_context c, Z3_constructor_list clist); + + /** + \brief Create mutually recursive datatypes. + + \param c logical context. + \param num_sorts number of datatype sorts. + \param sort_names names of datatype sorts. + \param sorts array of datatype sorts. + \param constructor_lists list of constructors, one list per sort. + + def_API('Z3_mk_datatypes', VOID, (_in(CONTEXT), _in(UINT), _in_array(1, SYMBOL), _out_array(1, SORT), _inout_array(1, CONSTRUCTOR_LIST))) + */ + void Z3_API Z3_mk_datatypes(Z3_context c, + unsigned num_sorts, + Z3_symbol const sort_names[], + Z3_sort sorts[], + Z3_constructor_list constructor_lists[]); + + /** + \brief Query constructor for declared functions. + + \param c logical context. + \param constr constructor container. The container must have been passed in to a #Z3_mk_datatype call. + \param num_fields number of accessor fields in the constructor. + \param constructor constructor function declaration, allocated by user. + \param tester constructor test function declaration, allocated by user. + \param accessors array of accessor function declarations allocated by user. The array must contain num_fields elements. + + def_API('Z3_query_constructor', VOID, (_in(CONTEXT), _in(CONSTRUCTOR), _in(UINT), _out(FUNC_DECL), _out(FUNC_DECL), _out_array(2, FUNC_DECL))) + */ + void Z3_API Z3_query_constructor(Z3_context c, + Z3_constructor constr, + unsigned num_fields, + Z3_func_decl* constructor, + Z3_func_decl* tester, + Z3_func_decl accessors[]); + + /*@}*/ + + /** @name Constants and Applications */ + /*@{*/ + + /** + \brief Declare a constant or function. + + \param c logical context. + \param s name of the constant or function. + \param domain_size number of arguments. It is 0 when declaring a constant. + \param domain array containing the sort of each argument. The array must contain domain_size elements. It is 0 when declaring a constant. + \param range sort of the constant or the return sort of the function. + + After declaring a constant or function, the function + #Z3_mk_app can be used to create a constant or function + application. + + \sa Z3_mk_app + + def_API('Z3_mk_func_decl', FUNC_DECL, (_in(CONTEXT), _in(SYMBOL), _in(UINT), _in_array(2, SORT), _in(SORT))) + */ + Z3_func_decl Z3_API Z3_mk_func_decl(Z3_context c, Z3_symbol s, + unsigned domain_size, Z3_sort const domain[], + Z3_sort range); + + + + /** + \brief Create a constant or function application. + + \sa Z3_mk_func_decl + + def_API('Z3_mk_app', AST, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT), _in_array(2, AST))) + */ + Z3_ast Z3_API Z3_mk_app( + Z3_context c, + Z3_func_decl d, + unsigned num_args, + Z3_ast const args[]); + + /** + \brief Declare and create a constant. + + This function is a shorthand for: + \code + Z3_func_decl d = Z3_mk_func_decl(c, s, 0, 0, ty); + Z3_ast n = Z3_mk_app(c, d, 0, 0); + \endcode + + \sa Z3_mk_func_decl + \sa Z3_mk_app + + def_API('Z3_mk_const', AST, (_in(CONTEXT), _in(SYMBOL), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_const(Z3_context c, Z3_symbol s, Z3_sort ty); + + /** + \brief Declare a fresh constant or function. + + Z3 will generate an unique name for this function declaration. + If prefix is different from \c NULL, then the name generate by Z3 will start with \c prefix. + + \remark If \c prefix is \c NULL, then it is assumed to be the empty string. + + \sa Z3_mk_func_decl + + def_API('Z3_mk_fresh_func_decl', FUNC_DECL, (_in(CONTEXT), _in(STRING), _in(UINT), _in_array(2, SORT), _in(SORT))) + */ + Z3_func_decl Z3_API Z3_mk_fresh_func_decl(Z3_context c, Z3_string prefix, + unsigned domain_size, Z3_sort const domain[], + Z3_sort range); + + /** + \brief Declare and create a fresh constant. + + This function is a shorthand for: + \code Z3_func_decl d = Z3_mk_fresh_func_decl(c, prefix, 0, 0, ty); Z3_ast n = Z3_mk_app(c, d, 0, 0); \endcode + + \remark If \c prefix is \c NULL, then it is assumed to be the empty string. + + \sa Z3_mk_func_decl + \sa Z3_mk_app + + def_API('Z3_mk_fresh_const', AST, (_in(CONTEXT), _in(STRING), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fresh_const(Z3_context c, Z3_string prefix, Z3_sort ty); + + + /** + \brief Declare a recursive function + + \param c logical context. + \param s name of the function. + \param domain_size number of arguments. It should be greater than 0. + \param domain array containing the sort of each argument. The array must contain domain_size elements. + \param range sort of the constant or the return sort of the function. + + After declaring recursive function, it should be associated with a recursive definition #Z3_add_rec_def. + The function #Z3_mk_app can be used to create a constant or function + application. + + \sa Z3_mk_app + \sa Z3_add_rec_def + + def_API('Z3_mk_rec_func_decl', FUNC_DECL, (_in(CONTEXT), _in(SYMBOL), _in(UINT), _in_array(2, SORT), _in(SORT))) + */ + Z3_func_decl Z3_API Z3_mk_rec_func_decl(Z3_context c, Z3_symbol s, + unsigned domain_size, Z3_sort const domain[], + Z3_sort range); + + /** + \brief Define the body of a recursive function. + + \param c logical context. + \param f function declaration. + \param n number of arguments to the function + \param args constants that are used as arguments to the recursive function in the definition. + \param body body of the recursive function + + After declaring a recursive function or a collection of mutually recursive functions, use + this function to provide the definition for the recursive function. + + \sa Z3_mk_rec_func_decl + + def_API('Z3_add_rec_def', VOID, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT), _in_array(2, AST), _in(AST))) + */ + void Z3_API Z3_add_rec_def(Z3_context c, Z3_func_decl f, unsigned n, Z3_ast args[], Z3_ast body); + + /*@}*/ + + /** @name Propositional Logic and Equality */ + /*@{*/ + /** + \brief Create an AST node representing \c true. + + def_API('Z3_mk_true', AST, (_in(CONTEXT), )) + */ + Z3_ast Z3_API Z3_mk_true(Z3_context c); + + /** + \brief Create an AST node representing \c false. + + def_API('Z3_mk_false', AST, (_in(CONTEXT), )) + */ + Z3_ast Z3_API Z3_mk_false(Z3_context c); + + /** + \brief Create an AST node representing \ccode{l = r}. + + The nodes \c l and \c r must have the same type. + + def_API('Z3_mk_eq', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_eq(Z3_context c, Z3_ast l, Z3_ast r); + + /** + \brief Create an AST node representing \ccode{distinct(args[0], ..., args[num_args-1])}. + + The \c distinct construct is used for declaring the arguments pairwise distinct. + That is, \ccode{Forall 0 <= i < j < num_args. not args[i] = args[j]}. + + All arguments must have the same sort. + + \remark The number of arguments of a distinct construct must be greater than one. + + def_API('Z3_mk_distinct', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_distinct(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Create an AST node representing \ccode{not(a)}. + + The node \c a must have Boolean sort. + + def_API('Z3_mk_not', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_not(Z3_context c, Z3_ast a); + + /** + \brief Create an AST node representing an if-then-else: \ccode{ite(t1, t2, t3)}. + + The node \c t1 must have Boolean sort, \c t2 and \c t3 must have the same sort. + The sort of the new node is equal to the sort of \c t2 and \c t3. + + def_API('Z3_mk_ite', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_ite(Z3_context c, Z3_ast t1, Z3_ast t2, Z3_ast t3); + + /** + \brief Create an AST node representing \ccode{t1 iff t2}. + + The nodes \c t1 and \c t2 must have Boolean sort. + + def_API('Z3_mk_iff', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_iff(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create an AST node representing \ccode{t1 implies t2}. + + The nodes \c t1 and \c t2 must have Boolean sort. + + def_API('Z3_mk_implies', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_implies(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create an AST node representing \ccode{t1 xor t2}. + + The nodes \c t1 and \c t2 must have Boolean sort. + + def_API('Z3_mk_xor', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_xor(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create an AST node representing \ccode{args[0] and ... and args[num_args-1]}. + + The array \c args must have \c num_args elements. + All arguments must have Boolean sort. + + \remark The number of arguments must be greater than zero. + + def_API('Z3_mk_and', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_and(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Create an AST node representing \ccode{args[0] or ... or args[num_args-1]}. + + The array \c args must have \c num_args elements. + All arguments must have Boolean sort. + + \remark The number of arguments must be greater than zero. + + def_API('Z3_mk_or', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_or(Z3_context c, unsigned num_args, Z3_ast const args[]); + /*@}*/ + + /** @name Integers and Reals */ + /*@{*/ + /** + \brief Create an AST node representing \ccode{args[0] + ... + args[num_args-1]}. + + The array \c args must have \c num_args elements. + All arguments must have int or real sort. + + \remark The number of arguments must be greater than zero. + + def_API('Z3_mk_add', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_add(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Create an AST node representing \ccode{args[0] * ... * args[num_args-1]}. + + The array \c args must have \c num_args elements. + All arguments must have int or real sort. + + \remark Z3 has limited support for non-linear arithmetic. + \remark The number of arguments must be greater than zero. + + def_API('Z3_mk_mul', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_mul(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Create an AST node representing \ccode{args[0] - ... - args[num_args - 1]}. + + The array \c args must have \c num_args elements. + All arguments must have int or real sort. + + \remark The number of arguments must be greater than zero. + + def_API('Z3_mk_sub', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_sub(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Create an AST node representing \ccode{- arg}. + + The arguments must have int or real type. + + def_API('Z3_mk_unary_minus', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_unary_minus(Z3_context c, Z3_ast arg); + + /** + \brief Create an AST node representing \ccode{arg1 div arg2}. + + The arguments must either both have int type or both have real type. + If the arguments have int type, then the result type is an int type, otherwise the + the result type is real. + + def_API('Z3_mk_div', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_div(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Create an AST node representing \ccode{arg1 mod arg2}. + + The arguments must have int type. + + def_API('Z3_mk_mod', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_mod(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Create an AST node representing \ccode{arg1 rem arg2}. + + The arguments must have int type. + + def_API('Z3_mk_rem', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_rem(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Create an AST node representing \ccode{arg1 ^ arg2}. + + The arguments must have int or real type. + + def_API('Z3_mk_power', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_power(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Create less than. + + The nodes \c t1 and \c t2 must have the same sort, and must be int or real. + + def_API('Z3_mk_lt', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_lt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create less than or equal to. + + The nodes \c t1 and \c t2 must have the same sort, and must be int or real. + + def_API('Z3_mk_le', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_le(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create greater than. + + The nodes \c t1 and \c t2 must have the same sort, and must be int or real. + + def_API('Z3_mk_gt', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_gt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create greater than or equal to. + + The nodes \c t1 and \c t2 must have the same sort, and must be int or real. + + def_API('Z3_mk_ge', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_ge(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Coerce an integer to a real. + + There is also a converse operation exposed. + It follows the semantics prescribed by the SMT-LIB standard. + + You can take the floor of a real by + creating an auxiliary integer constant \c k and + and asserting \ccode{mk_int2real(k) <= t1 < mk_int2real(k)+1}. + + The node \c t1 must have sort integer. + + \sa Z3_mk_real2int + \sa Z3_mk_is_int + + def_API('Z3_mk_int2real', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_int2real(Z3_context c, Z3_ast t1); + + /** + \brief Coerce a real to an integer. + + The semantics of this function follows the SMT-LIB standard + for the function to_int + + \sa Z3_mk_int2real + \sa Z3_mk_is_int + + def_API('Z3_mk_real2int', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_real2int(Z3_context c, Z3_ast t1); + + /** + \brief Check if a real number is an integer. + + \sa Z3_mk_int2real + \sa Z3_mk_real2int + + def_API('Z3_mk_is_int', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_is_int(Z3_context c, Z3_ast t1); + /*@}*/ + + /** @name Bit-vectors */ + /*@{*/ + /** + \brief Bitwise negation. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_bvnot', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvnot(Z3_context c, Z3_ast t1); + + /** + \brief Take conjunction of bits in vector, return vector of length 1. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_bvredand', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvredand(Z3_context c, Z3_ast t1); + + /** + \brief Take disjunction of bits in vector, return vector of length 1. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_bvredor', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvredor(Z3_context c, Z3_ast t1); + + /** + \brief Bitwise and. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvand', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvand(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Bitwise or. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvor', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvor(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Bitwise exclusive-or. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvxor', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvxor(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Bitwise nand. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvnand', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvnand(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Bitwise nor. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvnor', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvnor(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Bitwise xnor. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvxnor', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvxnor(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Standard two's complement unary minus. + + The node \c t1 must have bit-vector sort. + + def_API('Z3_mk_bvneg', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvneg(Z3_context c, Z3_ast t1); + + /** + \brief Standard two's complement addition. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvadd', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvadd(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Standard two's complement subtraction. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsub', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsub(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Standard two's complement multiplication. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvmul', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvmul(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned division. + + It is defined as the \c floor of \ccode{t1/t2} if \c t2 is + different from zero. If \ccode{t2} is zero, then the result + is undefined. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvudiv', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvudiv(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed division. + + It is defined in the following way: + + - The \c floor of \ccode{t1/t2} if \c t2 is different from zero, and \ccode{t1*t2 >= 0}. + + - The \c ceiling of \ccode{t1/t2} if \c t2 is different from zero, and \ccode{t1*t2 < 0}. + + If \ccode{t2} is zero, then the result is undefined. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsdiv', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsdiv(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned remainder. + + It is defined as \ccode{t1 - (t1 /u t2) * t2}, where \ccode{/u} represents unsigned division. + + If \ccode{t2} is zero, then the result is undefined. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvurem', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvurem(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed remainder (sign follows dividend). + + It is defined as \ccode{t1 - (t1 /s t2) * t2}, where \ccode{/s} represents signed division. + The most significant bit (sign) of the result is equal to the most significant bit of \c t1. + + If \ccode{t2} is zero, then the result is undefined. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + \sa Z3_mk_bvsmod + + def_API('Z3_mk_bvsrem', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsrem(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed remainder (sign follows divisor). + + If \ccode{t2} is zero, then the result is undefined. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + \sa Z3_mk_bvsrem + + def_API('Z3_mk_bvsmod', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsmod(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned less than. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvult', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvult(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed less than. + + It abbreviates: + \code + (or (and (= (extract[|m-1|:|m-1|] t1) bit1) + (= (extract[|m-1|:|m-1|] t2) bit0)) + (and (= (extract[|m-1|:|m-1|] t1) (extract[|m-1|:|m-1|] t2)) + (bvult t1 t2))) + \endcode + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvslt', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvslt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned less than or equal to. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvule', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvule(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed less than or equal to. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsle', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsle(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned greater than or equal to. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvuge', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvuge(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed greater than or equal to. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsge', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsge(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Unsigned greater than. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvugt', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvugt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Two's complement signed greater than. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsgt', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsgt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Concatenate the given bit-vectors. + + The nodes \c t1 and \c t2 must have (possibly different) bit-vector sorts + + The result is a bit-vector of size \ccode{n1+n2}, where \c n1 (\c n2) is the size + of \c t1 (\c t2). + + def_API('Z3_mk_concat', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_concat(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Extract the bits \c high down to \c low from a bit-vector of + size \c m to yield a new bit-vector of size \c n, where \ccode{n = high - low + 1}. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_extract', AST, (_in(CONTEXT), _in(UINT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_extract(Z3_context c, unsigned high, unsigned low, Z3_ast t1); + + /** + \brief Sign-extend of the given bit-vector to the (signed) equivalent bit-vector of + size \ccode{m+i}, where \c m is the size of the given + bit-vector. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_sign_ext', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_sign_ext(Z3_context c, unsigned i, Z3_ast t1); + + /** + \brief Extend the given bit-vector with zeros to the (unsigned) equivalent + bit-vector of size \ccode{m+i}, where \c m is the size of the + given bit-vector. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_zero_ext', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_zero_ext(Z3_context c, unsigned i, Z3_ast t1); + + /** + \brief Repeat the given bit-vector up length \ccode{i}. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_repeat', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_repeat(Z3_context c, unsigned i, Z3_ast t1); + + /** + \brief Shift left. + + It is equivalent to multiplication by \ccode{2^x} where \c x is the value of the + third argument. + + NB. The semantics of shift operations varies between environments. This + definition does not necessarily capture directly the semantics of the + programming language or assembly architecture you are modeling. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvshl', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvshl(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Logical shift right. + + It is equivalent to unsigned division by \ccode{2^x} where \c x is the + value of the third argument. + + NB. The semantics of shift operations varies between environments. This + definition does not necessarily capture directly the semantics of the + programming language or assembly architecture you are modeling. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvlshr', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvlshr(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Arithmetic shift right. + + It is like logical shift right except that the most significant + bits of the result always copy the most significant bit of the + second argument. + + The semantics of shift operations varies between environments. This + definition does not necessarily capture directly the semantics of the + programming language or assembly architecture you are modeling. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvashr', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvashr(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Rotate bits of \c t1 to the left \c i times. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_rotate_left', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_rotate_left(Z3_context c, unsigned i, Z3_ast t1); + + /** + \brief Rotate bits of \c t1 to the right \c i times. + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_rotate_right', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_rotate_right(Z3_context c, unsigned i, Z3_ast t1); + + /** + \brief Rotate bits of \c t1 to the left \c t2 times. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_ext_rotate_left', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_ext_rotate_left(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Rotate bits of \c t1 to the right \c t2 times. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_ext_rotate_right', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_ext_rotate_right(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create an \c n bit bit-vector from the integer argument \c t1. + + The resulting bit-vector has \c n bits, where the i'th bit (counting + from 0 to \c n-1) is 1 if \c (t1 div 2^i) mod 2 is 1. + + The node \c t1 must have integer sort. + + def_API('Z3_mk_int2bv', AST, (_in(CONTEXT), _in(UINT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_int2bv(Z3_context c, unsigned n, Z3_ast t1); + + /** + \brief Create an integer from the bit-vector argument \c t1. + If \c is_signed is false, then the bit-vector \c t1 is treated as unsigned. + So the result is non-negative + and in the range \ccode{[0..2^N-1]}, where N are the number of bits in \c t1. + If \c is_signed is true, \c t1 is treated as a signed bit-vector. + + + The node \c t1 must have a bit-vector sort. + + def_API('Z3_mk_bv2int', AST, (_in(CONTEXT), _in(AST), _in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_bv2int(Z3_context c,Z3_ast t1, bool is_signed); + + /** + \brief Create a predicate that checks that the bit-wise addition + of \c t1 and \c t2 does not overflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvadd_no_overflow', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_bvadd_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed); + + /** + \brief Create a predicate that checks that the bit-wise signed addition + of \c t1 and \c t2 does not underflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvadd_no_underflow', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvadd_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create a predicate that checks that the bit-wise signed subtraction + of \c t1 and \c t2 does not overflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsub_no_overflow', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsub_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Create a predicate that checks that the bit-wise subtraction + of \c t1 and \c t2 does not underflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsub_no_underflow', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_bvsub_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed); + + /** + \brief Create a predicate that checks that the bit-wise signed division + of \c t1 and \c t2 does not overflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvsdiv_no_overflow', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvsdiv_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Check that bit-wise negation does not overflow when + \c t1 is interpreted as a signed bit-vector. + + The node \c t1 must have bit-vector sort. + + def_API('Z3_mk_bvneg_no_overflow', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvneg_no_overflow(Z3_context c, Z3_ast t1); + + /** + \brief Create a predicate that checks that the bit-wise multiplication + of \c t1 and \c t2 does not overflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvmul_no_overflow', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_bvmul_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed); + + /** + \brief Create a predicate that checks that the bit-wise signed multiplication + of \c t1 and \c t2 does not underflow. + + The nodes \c t1 and \c t2 must have the same bit-vector sort. + + def_API('Z3_mk_bvmul_no_underflow', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_bvmul_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2); + /*@}*/ + + /** @name Arrays */ + /*@{*/ + /** + \brief Array read. + The argument \c a is the array and \c i is the index of the array that gets read. + + The node \c a must have an array sort \ccode{[domain -> range]}, + and \c i must have the sort \c domain. + The sort of the result is \c range. + + \sa Z3_mk_array_sort + \sa Z3_mk_store + + def_API('Z3_mk_select', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_select(Z3_context c, Z3_ast a, Z3_ast i); + + + + /** + \brief n-ary Array read. + The argument \c a is the array and \c idxs are the indices of the array that gets read. + + def_API('Z3_mk_select_n', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST))) + + */ + Z3_ast Z3_API Z3_mk_select_n(Z3_context c, Z3_ast a, unsigned n, Z3_ast const* idxs); + + + /** + \brief Array update. + + The node \c a must have an array sort \ccode{[domain -> range]}, \c i must have sort \c domain, + \c v must have sort range. The sort of the result is \ccode{[domain -> range]}. + The semantics of this function is given by the theory of arrays described in the SMT-LIB + standard. See http://smtlib.org for more details. + The result of this function is an array that is equal to \c a (with respect to \c select) + on all indices except for \c i, where it maps to \c v (and the \c select of \c a with + respect to \c i may be a different value). + + \sa Z3_mk_array_sort + \sa Z3_mk_select + + def_API('Z3_mk_store', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_store(Z3_context c, Z3_ast a, Z3_ast i, Z3_ast v); + + + /** + \brief n-ary Array update. + + def_API('Z3_mk_store_n', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST), _in(AST))) + + */ + Z3_ast Z3_API Z3_mk_store_n(Z3_context c, Z3_ast a, unsigned n, Z3_ast const* idxs, Z3_ast v); + + /** + \brief Create the constant array. + + The resulting term is an array, such that a \c select on an arbitrary index + produces the value \c v. + + \param c logical context. + \param domain domain sort for the array. + \param v value that the array maps to. + + def_API('Z3_mk_const_array', AST, (_in(CONTEXT), _in(SORT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_const_array(Z3_context c, Z3_sort domain, Z3_ast v); + + /** + \brief Map f on the argument arrays. + + The \c n nodes \c args must be of array sorts \ccode{[domain_i -> range_i]}. + The function declaration \c f must have type \ccode{ range_1 .. range_n -> range}. + \c v must have sort range. The sort of the result is \ccode{[domain_i -> range]}. + + \sa Z3_mk_array_sort + \sa Z3_mk_store + \sa Z3_mk_select + + def_API('Z3_mk_map', AST, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT), _in_array(2, AST))) + */ + Z3_ast Z3_API Z3_mk_map(Z3_context c, Z3_func_decl f, unsigned n, Z3_ast const* args); + + /** + \brief Access the array default value. + Produces the default range value, for arrays that can be represented as + finite maps with a default range value. + + \param c logical context. + \param array array value whose default range value is accessed. + + def_API('Z3_mk_array_default', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_array_default(Z3_context c, Z3_ast array); + + /** + \brief Create array with the same interpretation as a function. + The array satisfies the property (f x) = (select (_ as-array f) x) + for every argument x. + + def_API('Z3_mk_as_array', AST, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_ast Z3_API Z3_mk_as_array(Z3_context c, Z3_func_decl f); + /*@}*/ + + /** @name Sets */ + /*@{*/ + /** + \brief Create Set type. + + def_API('Z3_mk_set_sort', SORT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort Z3_API Z3_mk_set_sort(Z3_context c, Z3_sort ty); + + /** + \brief Create the empty set. + + def_API('Z3_mk_empty_set', AST, (_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_empty_set(Z3_context c, Z3_sort domain); + + /** + \brief Create the full set. + + def_API('Z3_mk_full_set', AST, (_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_full_set(Z3_context c, Z3_sort domain); + + /** + \brief Add an element to a set. + + The first argument must be a set, the second an element. + + def_API('Z3_mk_set_add', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_add(Z3_context c, Z3_ast set, Z3_ast elem); + + /** + \brief Remove an element to a set. + + The first argument must be a set, the second an element. + + def_API('Z3_mk_set_del', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_del(Z3_context c, Z3_ast set, Z3_ast elem); + + /** + \brief Take the union of a list of sets. + + def_API('Z3_mk_set_union', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_set_union(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Take the intersection of a list of sets. + + def_API('Z3_mk_set_intersect', AST, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_set_intersect(Z3_context c, unsigned num_args, Z3_ast const args[]); + + /** + \brief Take the set difference between two sets. + + def_API('Z3_mk_set_difference', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_difference(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Take the complement of a set. + + def_API('Z3_mk_set_complement', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_complement(Z3_context c, Z3_ast arg); + + /** + \brief Check for set membership. + + The first argument should be an element type of the set. + + def_API('Z3_mk_set_member', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_member(Z3_context c, Z3_ast elem, Z3_ast set); + + /** + \brief Check for subsetness of sets. + + def_API('Z3_mk_set_subset', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_set_subset(Z3_context c, Z3_ast arg1, Z3_ast arg2); + + /** + \brief Create array extensionality index given two arrays with the same sort. + The meaning is given by the axiom: + (=> (= (select A (array-ext A B)) (select B (array-ext A B))) (= A B)) + + def_API('Z3_mk_array_ext', AST, (_in(CONTEXT), _in(AST), _in(AST))) + */ + + Z3_ast Z3_API Z3_mk_array_ext(Z3_context c, Z3_ast arg1, Z3_ast arg2); + /*@}*/ + + /** @name Numerals */ + /*@{*/ + /** + \brief Create a numeral of a given sort. + + \param c logical context. + \param numeral A string representing the numeral value in decimal notation. The string may be of the form `[num]*[.[num]*][E[+|-][num]+]`. + If the given sort is a real, then the numeral can be a rational, that is, a string of the form `[num]* / [num]*` . + \param ty The sort of the numeral. In the current implementation, the given sort can be an int, real, finite-domain, or bit-vectors of arbitrary size. + + \sa Z3_mk_int + \sa Z3_mk_unsigned_int + + def_API('Z3_mk_numeral', AST, (_in(CONTEXT), _in(STRING), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_numeral(Z3_context c, Z3_string numeral, Z3_sort ty); + + /** + \brief Create a real from a fraction. + + \param c logical context. + \param num numerator of rational. + \param den denominator of rational. + + \pre den != 0 + + \sa Z3_mk_numeral + \sa Z3_mk_int + \sa Z3_mk_unsigned_int + + def_API('Z3_mk_real', AST, (_in(CONTEXT), _in(INT), _in(INT))) + */ + Z3_ast Z3_API Z3_mk_real(Z3_context c, int num, int den); + + /** + \brief Create a numeral of an int, bit-vector, or finite-domain sort. + + This function can be used to create numerals that fit in a machine integer. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \sa Z3_mk_numeral + + def_API('Z3_mk_int', AST, (_in(CONTEXT), _in(INT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_int(Z3_context c, int v, Z3_sort ty); + + /** + \brief Create a numeral of a int, bit-vector, or finite-domain sort. + + This function can be used to create numerals that fit in a machine unsigned integer. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \sa Z3_mk_numeral + + def_API('Z3_mk_unsigned_int', AST, (_in(CONTEXT), _in(UINT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_unsigned_int(Z3_context c, unsigned v, Z3_sort ty); + + /** + \brief Create a numeral of a int, bit-vector, or finite-domain sort. + + This function can be used to create numerals that fit in a machine \c int64_t integer. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \sa Z3_mk_numeral + + def_API('Z3_mk_int64', AST, (_in(CONTEXT), _in(INT64), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_int64(Z3_context c, int64_t v, Z3_sort ty); + + /** + \brief Create a numeral of a int, bit-vector, or finite-domain sort. + + This function can be used to create numerals that fit in a machine \c uint64_t integer. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \sa Z3_mk_numeral + + def_API('Z3_mk_unsigned_int64', AST, (_in(CONTEXT), _in(UINT64), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_unsigned_int64(Z3_context c, uint64_t v, Z3_sort ty); + + /** + \brief create a bit-vector numeral from a vector of Booleans. + + \sa Z3_mk_numeral + def_API('Z3_mk_bv_numeral', AST, (_in(CONTEXT), _in(UINT), _in_array(1, BOOL))) + */ + Z3_ast Z3_API Z3_mk_bv_numeral(Z3_context c, unsigned sz, bool const* bits); + + /*@}*/ + + /** @name Sequences and regular expressions */ + /*@{*/ + + /** + \brief Create a sequence sort out of the sort for the elements. + + def_API('Z3_mk_seq_sort', SORT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort Z3_API Z3_mk_seq_sort(Z3_context c, Z3_sort s); + + /** + \brief Check if \c s is a sequence sort. + + def_API('Z3_is_seq_sort', BOOL, (_in(CONTEXT), _in(SORT))) + */ + bool Z3_API Z3_is_seq_sort(Z3_context c, Z3_sort s); + + /** + \brief Create a regular expression sort out of a sequence sort. + + def_API('Z3_mk_re_sort', SORT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort Z3_API Z3_mk_re_sort(Z3_context c, Z3_sort seq); + + /** + \brief Check if \c s is a regular expression sort. + + def_API('Z3_is_re_sort', BOOL, (_in(CONTEXT), _in(SORT))) + */ + bool Z3_API Z3_is_re_sort(Z3_context c, Z3_sort s); + + /** + \brief Create a sort for 8 bit strings. + + This function creates a sort for ASCII strings. + Each character is 8 bits. + + def_API('Z3_mk_string_sort', SORT ,(_in(CONTEXT), )) + */ + Z3_sort Z3_API Z3_mk_string_sort(Z3_context c); + + /** + \brief Check if \c s is a string sort. + + def_API('Z3_is_string_sort', BOOL, (_in(CONTEXT), _in(SORT))) + */ + bool Z3_API Z3_is_string_sort(Z3_context c, Z3_sort s); + + /** + \brief Create a string constant out of the string that is passed in + def_API('Z3_mk_string' ,AST ,(_in(CONTEXT), _in(STRING))) + */ + Z3_ast Z3_API Z3_mk_string(Z3_context c, Z3_string s); + + /** + \brief Determine if \c s is a string constant. + + def_API('Z3_is_string', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_string(Z3_context c, Z3_ast s); + + /** + \brief Retrieve the string constant stored in \c s. + + \pre Z3_is_string(c, s) + + def_API('Z3_get_string' ,STRING ,(_in(CONTEXT), _in(AST))) + */ + Z3_string Z3_API Z3_get_string(Z3_context c, Z3_ast s); + + /** + \brief Create an empty sequence of the sequence sort \c seq. + + \pre s is a sequence sort. + + def_API('Z3_mk_seq_empty' ,AST ,(_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_seq_empty(Z3_context c, Z3_sort seq); + + /** + \brief Create a unit sequence of \c a. + + def_API('Z3_mk_seq_unit' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_unit(Z3_context c, Z3_ast a); + + /** + \brief Concatenate sequences. + + \pre n > 0 + + def_API('Z3_mk_seq_concat' ,AST ,(_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_seq_concat(Z3_context c, unsigned n, Z3_ast const args[]); + + /** + \brief Check if \c prefix is a prefix of \c s. + + \pre prefix and s are the same sequence sorts. + + def_API('Z3_mk_seq_prefix' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_prefix(Z3_context c, Z3_ast prefix, Z3_ast s); + + /** + \brief Check if \c suffix is a suffix of \c s. + + \pre \c suffix and \c s are the same sequence sorts. + + def_API('Z3_mk_seq_suffix' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_suffix(Z3_context c, Z3_ast suffix, Z3_ast s); + + /** + \brief Check if \c container contains \c containee. + + \pre \c container and \c containee are the same sequence sorts. + + def_API('Z3_mk_seq_contains' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_contains(Z3_context c, Z3_ast container, Z3_ast containee); + + /** + \brief Extract subsequence starting at \c offset of \c length. + + def_API('Z3_mk_seq_extract' ,AST ,(_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_extract(Z3_context c, Z3_ast s, Z3_ast offset, Z3_ast length); + + /** + \brief Replace the first occurrence of \c src with \c dst in \c s. + + def_API('Z3_mk_seq_replace' ,AST ,(_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_replace(Z3_context c, Z3_ast s, Z3_ast src, Z3_ast dst); + + /** + \brief Retrieve from \c s the unit sequence positioned at position \c index. + + def_API('Z3_mk_seq_at' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_at(Z3_context c, Z3_ast s, Z3_ast index); + + /** + \brief Return the length of the sequence \c s. + + def_API('Z3_mk_seq_length' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_length(Z3_context c, Z3_ast s); + + + /** + \brief Return index of first occurrence of \c substr in \c s starting from offset \c offset. + If \c s does not contain \c substr, then the value is -1, if \c offset is the length of \c s, then the value is -1 as well. + The function is under-specified if \c offset is negative or larger than the length of \c s. + + def_API('Z3_mk_seq_index' ,AST ,(_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_index(Z3_context c, Z3_ast s, Z3_ast substr, Z3_ast offset); + + /** + \brief Convert string to integer. + + def_API('Z3_mk_str_to_int' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_str_to_int(Z3_context c, Z3_ast s); + + + /** + \brief Integer to string conversion. + + def_API('Z3_mk_int_to_str' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_int_to_str(Z3_context c, Z3_ast s); + + /** + \brief Create a regular expression that accepts the sequence \c seq. + + def_API('Z3_mk_seq_to_re' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_to_re(Z3_context c, Z3_ast seq); + + /** + \brief Check if \c seq is in the language generated by the regular expression \c re. + + def_API('Z3_mk_seq_in_re' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_seq_in_re(Z3_context c, Z3_ast seq, Z3_ast re); + + /** + \brief Create the regular language \c re+. + + def_API('Z3_mk_re_plus' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_re_plus(Z3_context c, Z3_ast re); + + /** + \brief Create the regular language \c re*. + + def_API('Z3_mk_re_star' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_re_star(Z3_context c, Z3_ast re); + + /** + \brief Create the regular language \c [re]. + + def_API('Z3_mk_re_option' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_re_option(Z3_context c, Z3_ast re); + + /** + \brief Create the union of the regular languages. + + \pre n > 0 + + def_API('Z3_mk_re_union' ,AST ,(_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_re_union(Z3_context c, unsigned n, Z3_ast const args[]); + + /** + \brief Create the concatenation of the regular languages. + + \pre n > 0 + + def_API('Z3_mk_re_concat' ,AST ,(_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_re_concat(Z3_context c, unsigned n, Z3_ast const args[]); + + + /** + \brief Create the range regular expression over two sequences of length 1. + + def_API('Z3_mk_re_range' ,AST ,(_in(CONTEXT), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_re_range(Z3_context c, Z3_ast lo, Z3_ast hi); + + /** + \brief Create a regular expression loop. The supplied regular expression \c r is repeated + between \c lo and \c hi times. The \c lo should be below \c hi with one exception: when + supplying the value \c hi as 0, the meaning is to repeat the argument \c r at least + \c lo number of times, and with an unbounded upper bound. + + def_API('Z3_mk_re_loop', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in(UINT))) + */ + Z3_ast Z3_API Z3_mk_re_loop(Z3_context c, Z3_ast r, unsigned lo, unsigned hi); + + /** + \brief Create the intersection of the regular languages. + + \pre n > 0 + + def_API('Z3_mk_re_intersect' ,AST ,(_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_ast Z3_API Z3_mk_re_intersect(Z3_context c, unsigned n, Z3_ast const args[]); + + /** + \brief Create the complement of the regular language \c re. + + def_API('Z3_mk_re_complement' ,AST ,(_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_re_complement(Z3_context c, Z3_ast re); + + /** + \brief Create an empty regular expression of sort \c re. + + \pre re is a regular expression sort. + + def_API('Z3_mk_re_empty' ,AST ,(_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_re_empty(Z3_context c, Z3_sort re); + + + /** + \brief Create an universal regular expression of sort \c re. + + \pre re is a regular expression sort. + + def_API('Z3_mk_re_full' ,AST ,(_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_re_full(Z3_context c, Z3_sort re); + + + /*@}*/ + + + /** @name Quantifiers */ + /*@{*/ + /** + \brief Create a pattern for quantifier instantiation. + + Z3 uses pattern matching to instantiate quantifiers. If a + pattern is not provided for a quantifier, then Z3 will + automatically compute a set of patterns for it. However, for + optimal performance, the user should provide the patterns. + + Patterns comprise a list of terms. The list should be + non-empty. If the list comprises of more than one term, it is + a called a multi-pattern. + + In general, one can pass in a list of (multi-)patterns in the + quantifier constructor. + + \sa Z3_mk_forall + \sa Z3_mk_exists + + def_API('Z3_mk_pattern', PATTERN, (_in(CONTEXT), _in(UINT), _in_array(1, AST))) + */ + Z3_pattern Z3_API Z3_mk_pattern(Z3_context c, unsigned num_patterns, Z3_ast const terms[]); + + /** + \brief Create a bound variable. + + Bound variables are indexed by de-Bruijn indices. It is perhaps easiest to explain + the meaning of de-Bruijn indices by indicating the compilation process from + non-de-Bruijn formulas to de-Bruijn format. + + \verbatim + abs(forall (x1) phi) = forall (x1) abs1(phi, x1, 0) + abs(forall (x1, x2) phi) = abs(forall (x1) abs(forall (x2) phi)) + abs1(x, x, n) = b_n + abs1(y, x, n) = y + abs1(f(t1,...,tn), x, n) = f(abs1(t1,x,n), ..., abs1(tn,x,n)) + abs1(forall (x1) phi, x, n) = forall (x1) (abs1(phi, x, n+1)) + \endverbatim + + The last line is significant: the index of a bound variable is different depending + on the scope in which it appears. The deeper x appears, the higher is its + index. + + \param c logical context + \param index de-Bruijn index + \param ty sort of the bound variable + + \sa Z3_mk_forall + \sa Z3_mk_exists + + def_API('Z3_mk_bound', AST, (_in(CONTEXT), _in(UINT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_bound(Z3_context c, unsigned index, Z3_sort ty); + + /** + \brief Create a forall formula. It takes an expression \c body that contains bound variables + of the same sorts as the sorts listed in the array \c sorts. The bound variables are de-Bruijn indices created + using #Z3_mk_bound. The array \c decl_names contains the names that the quantified formula uses for the + bound variables. Z3 applies the convention that the last element in the \c decl_names and \c sorts array + refers to the variable with index 0, the second to last element of \c decl_names and \c sorts refers + to the variable with index 1, etc. + + \param c logical context. + \param weight quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. + \param num_patterns number of patterns. + \param patterns array containing the patterns created using #Z3_mk_pattern. + \param num_decls number of variables to be bound. + \param sorts the sorts of the bound variables. + \param decl_names names of the bound variables + \param body the body of the quantifier. + + \sa Z3_mk_pattern + \sa Z3_mk_bound + \sa Z3_mk_exists + + def_API('Z3_mk_forall', AST, (_in(CONTEXT), _in(UINT), _in(UINT), _in_array(2, PATTERN), _in(UINT), _in_array(4, SORT), _in_array(4, SYMBOL), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_forall(Z3_context c, unsigned weight, + unsigned num_patterns, Z3_pattern const patterns[], + unsigned num_decls, Z3_sort const sorts[], + Z3_symbol const decl_names[], + Z3_ast body); + + /** + \brief Create an exists formula. Similar to #Z3_mk_forall. + + \sa Z3_mk_pattern + \sa Z3_mk_bound + \sa Z3_mk_forall + \sa Z3_mk_quantifier + + def_API('Z3_mk_exists', AST, (_in(CONTEXT), _in(UINT), _in(UINT), _in_array(2, PATTERN), _in(UINT), _in_array(4, SORT), _in_array(4, SYMBOL), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_exists(Z3_context c, unsigned weight, + unsigned num_patterns, Z3_pattern const patterns[], + unsigned num_decls, Z3_sort const sorts[], + Z3_symbol const decl_names[], + Z3_ast body); + + /** + \brief Create a quantifier - universal or existential, with pattern hints. + See the documentation for #Z3_mk_forall for an explanation of the parameters. + + \param c logical context. + \param is_forall flag to indicate if this is a universal or existential quantifier. + \param weight quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. + \param num_patterns number of patterns. + \param patterns array containing the patterns created using #Z3_mk_pattern. + \param num_decls number of variables to be bound. + \param sorts array of sorts of the bound variables. + \param decl_names names of the bound variables. + \param body the body of the quantifier. + + \sa Z3_mk_pattern + \sa Z3_mk_bound + \sa Z3_mk_forall + \sa Z3_mk_exists + + def_API('Z3_mk_quantifier', AST, (_in(CONTEXT), _in(BOOL), _in(UINT), _in(UINT), _in_array(3, PATTERN), _in(UINT), _in_array(5, SORT), _in_array(5, SYMBOL), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_quantifier( + Z3_context c, + bool is_forall, + unsigned weight, + unsigned num_patterns, Z3_pattern const patterns[], + unsigned num_decls, Z3_sort const sorts[], + Z3_symbol const decl_names[], + Z3_ast body); + + + /** + \brief Create a quantifier - universal or existential, with pattern hints, no patterns, and attributes + + \param c logical context. + \param is_forall flag to indicate if this is a universal or existential quantifier. + \param quantifier_id identifier to identify quantifier + \param skolem_id identifier to identify skolem constants introduced by quantifier. + \param weight quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. + \param num_patterns number of patterns. + \param patterns array containing the patterns created using #Z3_mk_pattern. + \param num_no_patterns number of no_patterns. + \param no_patterns array containing subexpressions to be excluded from inferred patterns. + \param num_decls number of variables to be bound. + \param sorts array of sorts of the bound variables. + \param decl_names names of the bound variables. + \param body the body of the quantifier. + + \sa Z3_mk_pattern + \sa Z3_mk_bound + \sa Z3_mk_forall + \sa Z3_mk_exists + + def_API('Z3_mk_quantifier_ex', AST, (_in(CONTEXT), _in(BOOL), _in(UINT), _in(SYMBOL), _in(SYMBOL), _in(UINT), _in_array(5, PATTERN), _in(UINT), _in_array(7, AST), _in(UINT), _in_array(9, SORT), _in_array(9, SYMBOL), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_quantifier_ex( + Z3_context c, + bool is_forall, + unsigned weight, + Z3_symbol quantifier_id, + Z3_symbol skolem_id, + unsigned num_patterns, Z3_pattern const patterns[], + unsigned num_no_patterns, Z3_ast const no_patterns[], + unsigned num_decls, Z3_sort const sorts[], + Z3_symbol const decl_names[], + Z3_ast body); + + /** + \brief Create a universal quantifier using a list of constants that + will form the set of bound variables. + + \param c logical context. + \param weight quantifiers are associated with weights indicating the importance of using + the quantifier during instantiation. By default, pass the weight 0. + \param num_bound number of constants to be abstracted into bound variables. + \param bound array of constants to be abstracted into bound variables. + \param num_patterns number of patterns. + \param patterns array containing the patterns created using #Z3_mk_pattern. + \param body the body of the quantifier. + + \sa Z3_mk_pattern + \sa Z3_mk_exists_const + + def_API('Z3_mk_forall_const', AST, (_in(CONTEXT), _in(UINT), _in(UINT), _in_array(2, APP), _in(UINT), _in_array(4, PATTERN), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_forall_const( + Z3_context c, + unsigned weight, + unsigned num_bound, + Z3_app const bound[], + unsigned num_patterns, + Z3_pattern const patterns[], + Z3_ast body + ); + + /** + \brief Similar to #Z3_mk_forall_const. + + \brief Create an existential quantifier using a list of constants that + will form the set of bound variables. + + \param c logical context. + \param weight quantifiers are associated with weights indicating the importance of using + the quantifier during instantiation. By default, pass the weight 0. + \param num_bound number of constants to be abstracted into bound variables. + \param bound array of constants to be abstracted into bound variables. + \param num_patterns number of patterns. + \param patterns array containing the patterns created using #Z3_mk_pattern. + \param body the body of the quantifier. + + \sa Z3_mk_pattern + \sa Z3_mk_forall_const + + def_API('Z3_mk_exists_const', AST, (_in(CONTEXT), _in(UINT), _in(UINT), _in_array(2, APP), _in(UINT), _in_array(4, PATTERN), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_exists_const( + Z3_context c, + unsigned weight, + unsigned num_bound, + Z3_app const bound[], + unsigned num_patterns, + Z3_pattern const patterns[], + Z3_ast body + ); + + /** + \brief Create a universal or existential quantifier using a list of + constants that will form the set of bound variables. + + def_API('Z3_mk_quantifier_const', AST, (_in(CONTEXT), _in(BOOL), _in(UINT), _in(UINT), _in_array(3, APP), _in(UINT), _in_array(5, PATTERN), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_quantifier_const( + Z3_context c, + bool is_forall, + unsigned weight, + unsigned num_bound, Z3_app const bound[], + unsigned num_patterns, Z3_pattern const patterns[], + Z3_ast body + ); + + /** + \brief Create a universal or existential quantifier using a list of + constants that will form the set of bound variables. + + def_API('Z3_mk_quantifier_const_ex', AST, (_in(CONTEXT), _in(BOOL), _in(UINT), _in(SYMBOL), _in(SYMBOL), _in(UINT), _in_array(5, APP), _in(UINT), _in_array(7, PATTERN), _in(UINT), _in_array(9, AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_quantifier_const_ex( + Z3_context c, + bool is_forall, + unsigned weight, + Z3_symbol quantifier_id, + Z3_symbol skolem_id, + unsigned num_bound, Z3_app const bound[], + unsigned num_patterns, Z3_pattern const patterns[], + unsigned num_no_patterns, Z3_ast const no_patterns[], + Z3_ast body + ); + + /** + \brief Create a lambda expression. It takes an expression \c body that contains bound variables + of the same sorts as the sorts listed in the array \c sorts. The bound variables are de-Bruijn indices created + using #Z3_mk_bound. The array \c decl_names contains the names that the quantified formula uses for the + bound variables. Z3 applies the convention that the last element in the \c decl_names and \c sorts array + refers to the variable with index 0, the second to last element of \c decl_names and \c sorts refers + to the variable with index 1, etc. + The sort of the resulting expression is \c (Array sorts range) where \c range is the sort of \c body. + For example, if the lambda binds two variables of sort \c Int and \c Bool, and the \c body has sort \c Real, + the sort of the expression is \c (Array Int Bool Real). + + \param c logical context + \param num_decls number of variables to be bound. + \param sorts the sorts of the bound variables. + \param decl_names names of the bound variables + \param body the body of the lambda expression. + + \sa Z3_mk_bound + \sa Z3_mk_forall + \sa Z3_mk_lambda_const + + def_API('Z3_mk_lambda', AST, (_in(CONTEXT), _in(UINT), _in_array(1, SORT), _in_array(1, SYMBOL), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_lambda(Z3_context c, + unsigned num_decls, Z3_sort const sorts[], + Z3_symbol const decl_names[], + Z3_ast body); + + /** + \brief Create a lambda expression using a list of constants that form the set + of bound variables + + \param c logical context. + \param num_bound number of constants to be abstracted into bound variables. + \param bound array of constants to be abstracted into bound variables. + \param body the body of the lambda expression. + + \sa Z3_mk_bound + \sa Z3_mk_forall + \sa Z3_mk_lambda + + def_API('Z3_mk_lambda_const', AST, (_in(CONTEXT), _in(UINT), _in_array(1, APP), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_lambda_const(Z3_context c, + unsigned num_bound, Z3_app const bound[], + Z3_ast body); + + + /*@}*/ + + /** @name Accessors */ + /*@{*/ + /** + \brief Return \c Z3_INT_SYMBOL if the symbol was constructed + using #Z3_mk_int_symbol, and \c Z3_STRING_SYMBOL if the symbol + was constructed using #Z3_mk_string_symbol. + + def_API('Z3_get_symbol_kind', UINT, (_in(CONTEXT), _in(SYMBOL))) + */ + Z3_symbol_kind Z3_API Z3_get_symbol_kind(Z3_context c, Z3_symbol s); + + /** + \brief Return the symbol int value. + + \pre Z3_get_symbol_kind(s) == Z3_INT_SYMBOL + + \sa Z3_mk_int_symbol + + def_API('Z3_get_symbol_int', INT, (_in(CONTEXT), _in(SYMBOL))) + */ + int Z3_API Z3_get_symbol_int(Z3_context c, Z3_symbol s); + + /** + \brief Return the symbol name. + + \pre Z3_get_symbol_kind(s) == Z3_STRING_SYMBOL + + \warning The returned buffer is statically allocated by Z3. It will + be automatically deallocated when #Z3_del_context is invoked. + So, the buffer is invalidated in the next call to \c Z3_get_symbol_string. + + \sa Z3_mk_string_symbol + + def_API('Z3_get_symbol_string', STRING, (_in(CONTEXT), _in(SYMBOL))) + */ + Z3_string Z3_API Z3_get_symbol_string(Z3_context c, Z3_symbol s); + + /** + \brief Return the sort name as a symbol. + + def_API('Z3_get_sort_name', SYMBOL, (_in(CONTEXT), _in(SORT))) + */ + Z3_symbol Z3_API Z3_get_sort_name(Z3_context c, Z3_sort d); + + /** + \brief Return a unique identifier for \c s. + + def_API('Z3_get_sort_id', UINT, (_in(CONTEXT), _in(SORT))) + */ + unsigned Z3_API Z3_get_sort_id(Z3_context c, Z3_sort s); + + /** + \brief Convert a \c Z3_sort into \c Z3_ast. This is just type casting. + + def_API('Z3_sort_to_ast', AST, (_in(CONTEXT), _in(SORT))) + */ + Z3_ast Z3_API Z3_sort_to_ast(Z3_context c, Z3_sort s); + + /** + \brief compare sorts. + + def_API('Z3_is_eq_sort', BOOL, (_in(CONTEXT), _in(SORT), _in(SORT))) + */ + bool Z3_API Z3_is_eq_sort(Z3_context c, Z3_sort s1, Z3_sort s2); + + /** + \brief Return the sort kind (e.g., array, tuple, int, bool, etc). + + \sa Z3_sort_kind + + def_API('Z3_get_sort_kind', UINT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort_kind Z3_API Z3_get_sort_kind(Z3_context c, Z3_sort t); + + /** + \brief Return the size of the given bit-vector sort. + + \pre Z3_get_sort_kind(c, t) == Z3_BV_SORT + + \sa Z3_mk_bv_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_bv_sort_size', UINT, (_in(CONTEXT), _in(SORT))) + */ + unsigned Z3_API Z3_get_bv_sort_size(Z3_context c, Z3_sort t); + + /** + \brief Store the size of the sort in \c r. Return \c false if the call failed. + That is, Z3_get_sort_kind(s) == Z3_FINITE_DOMAIN_SORT + + def_API('Z3_get_finite_domain_sort_size', BOOL, (_in(CONTEXT), _in(SORT), _out(UINT64))) + */ + Z3_bool_opt Z3_API Z3_get_finite_domain_sort_size(Z3_context c, Z3_sort s, uint64_t* r); + + /** + \brief Return the domain of the given array sort. + In the case of a multi-dimensional array, this function returns the sort of the first dimension. + + \pre Z3_get_sort_kind(c, t) == Z3_ARRAY_SORT + + \sa Z3_mk_array_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_array_sort_domain', SORT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort Z3_API Z3_get_array_sort_domain(Z3_context c, Z3_sort t); + + /** + \brief Return the range of the given array sort. + + \pre Z3_get_sort_kind(c, t) == Z3_ARRAY_SORT + + \sa Z3_mk_array_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_array_sort_range', SORT, (_in(CONTEXT), _in(SORT))) + */ + Z3_sort Z3_API Z3_get_array_sort_range(Z3_context c, Z3_sort t); + + /** + \brief Return the constructor declaration of the given tuple + sort. + + \pre Z3_get_sort_kind(c, t) == Z3_DATATYPE_SORT + + \sa Z3_mk_tuple_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_tuple_sort_mk_decl', FUNC_DECL, (_in(CONTEXT), _in(SORT))) + */ + Z3_func_decl Z3_API Z3_get_tuple_sort_mk_decl(Z3_context c, Z3_sort t); + + /** + \brief Return the number of fields of the given tuple sort. + + \pre Z3_get_sort_kind(c, t) == Z3_DATATYPE_SORT + + \sa Z3_mk_tuple_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_tuple_sort_num_fields', UINT, (_in(CONTEXT), _in(SORT))) + */ + unsigned Z3_API Z3_get_tuple_sort_num_fields(Z3_context c, Z3_sort t); + + /** + \brief Return the i-th field declaration (i.e., projection function declaration) + of the given tuple sort. + + \pre Z3_get_sort_kind(t) == Z3_DATATYPE_SORT + \pre i < Z3_get_tuple_sort_num_fields(c, t) + + \sa Z3_mk_tuple_sort + \sa Z3_get_sort_kind + + def_API('Z3_get_tuple_sort_field_decl', FUNC_DECL, (_in(CONTEXT), _in(SORT), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_get_tuple_sort_field_decl(Z3_context c, Z3_sort t, unsigned i); + + /** + \brief Return number of constructors for datatype. + + \pre Z3_get_sort_kind(t) == Z3_DATATYPE_SORT + + \sa Z3_get_datatype_sort_constructor + \sa Z3_get_datatype_sort_recognizer + \sa Z3_get_datatype_sort_constructor_accessor + + def_API('Z3_get_datatype_sort_num_constructors', UINT, (_in(CONTEXT), _in(SORT))) + */ + unsigned Z3_API Z3_get_datatype_sort_num_constructors( + Z3_context c, Z3_sort t); + + /** + \brief Return idx'th constructor. + + \pre Z3_get_sort_kind(t) == Z3_DATATYPE_SORT + \pre idx < Z3_get_datatype_sort_num_constructors(c, t) + + \sa Z3_get_datatype_sort_num_constructors + \sa Z3_get_datatype_sort_recognizer + \sa Z3_get_datatype_sort_constructor_accessor + + def_API('Z3_get_datatype_sort_constructor', FUNC_DECL, (_in(CONTEXT), _in(SORT), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_get_datatype_sort_constructor( + Z3_context c, Z3_sort t, unsigned idx); + + /** + \brief Return idx'th recognizer. + + \pre Z3_get_sort_kind(t) == Z3_DATATYPE_SORT + \pre idx < Z3_get_datatype_sort_num_constructors(c, t) + + \sa Z3_get_datatype_sort_num_constructors + \sa Z3_get_datatype_sort_constructor + \sa Z3_get_datatype_sort_constructor_accessor + + def_API('Z3_get_datatype_sort_recognizer', FUNC_DECL, (_in(CONTEXT), _in(SORT), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_get_datatype_sort_recognizer( + Z3_context c, Z3_sort t, unsigned idx); + + /** + \brief Return idx_a'th accessor for the idx_c'th constructor. + + \pre Z3_get_sort_kind(t) == Z3_DATATYPE_SORT + \pre idx_c < Z3_get_datatype_sort_num_constructors(c, t) + \pre idx_a < Z3_get_domain_size(c, Z3_get_datatype_sort_constructor(c, idx_c)) + + \sa Z3_get_datatype_sort_num_constructors + \sa Z3_get_datatype_sort_constructor + \sa Z3_get_datatype_sort_recognizer + + def_API('Z3_get_datatype_sort_constructor_accessor', FUNC_DECL, (_in(CONTEXT), _in(SORT), _in(UINT), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_get_datatype_sort_constructor_accessor(Z3_context c, + Z3_sort t, + unsigned idx_c, + unsigned idx_a); + + /** + \brief Update record field with a value. + + This corresponds to the 'with' construct in OCaml. + It has the effect of updating a record field with a given value. + The remaining fields are left unchanged. It is the record + equivalent of an array store (see \sa Z3_mk_store). + If the datatype has more than one constructor, then the update function + behaves as identity if there is a miss-match between the accessor and + constructor. For example ((_ update-field car) nil 1) is nil, + while ((_ update-field car) (cons 2 nil) 1) is (cons 1 nil). + + + \pre Z3_get_sort_kind(Z3_get_sort(c, t)) == Z3_get_domain(c, field_access, 1) == Z3_DATATYPE_SORT + \pre Z3_get_sort(c, value) == Z3_get_range(c, field_access) + + + def_API('Z3_datatype_update_field', AST, (_in(CONTEXT), _in(FUNC_DECL), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_datatype_update_field(Z3_context c, Z3_func_decl field_access, + Z3_ast t, Z3_ast value); + + /** + \brief Return arity of relation. + + \pre Z3_get_sort_kind(s) == Z3_RELATION_SORT + + \sa Z3_get_relation_column + + def_API('Z3_get_relation_arity', UINT, (_in(CONTEXT), _in(SORT))) + */ + unsigned Z3_API Z3_get_relation_arity(Z3_context c, Z3_sort s); + + /** + \brief Return sort at i'th column of relation sort. + + \pre Z3_get_sort_kind(c, s) == Z3_RELATION_SORT + \pre col < Z3_get_relation_arity(c, s) + + \sa Z3_get_relation_arity + + def_API('Z3_get_relation_column', SORT, (_in(CONTEXT), _in(SORT), _in(UINT))) + */ + Z3_sort Z3_API Z3_get_relation_column(Z3_context c, Z3_sort s, unsigned col); + + /** + \brief Pseudo-Boolean relations. + + Encode p1 + p2 + ... + pn <= k + + def_API('Z3_mk_atmost', AST, (_in(CONTEXT), _in(UINT), _in_array(1,AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_mk_atmost(Z3_context c, unsigned num_args, + Z3_ast const args[], unsigned k); + + /** + \brief Pseudo-Boolean relations. + + Encode p1 + p2 + ... + pn >= k + + def_API('Z3_mk_atleast', AST, (_in(CONTEXT), _in(UINT), _in_array(1,AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_mk_atleast(Z3_context c, unsigned num_args, + Z3_ast const args[], unsigned k); + + /** + \brief Pseudo-Boolean relations. + + Encode k1*p1 + k2*p2 + ... + kn*pn <= k + + def_API('Z3_mk_pble', AST, (_in(CONTEXT), _in(UINT), _in_array(1,AST), _in_array(1,INT), _in(INT))) + */ + Z3_ast Z3_API Z3_mk_pble(Z3_context c, unsigned num_args, + Z3_ast const args[], int const coeffs[], + int k); + + /** + \brief Pseudo-Boolean relations. + + Encode k1*p1 + k2*p2 + ... + kn*pn >= k + + def_API('Z3_mk_pbge', AST, (_in(CONTEXT), _in(UINT), _in_array(1,AST), _in_array(1,INT), _in(INT))) + */ + Z3_ast Z3_API Z3_mk_pbge(Z3_context c, unsigned num_args, + Z3_ast const args[], int const coeffs[], + int k); + + /** + \brief Pseudo-Boolean relations. + + Encode k1*p1 + k2*p2 + ... + kn*pn = k + + def_API('Z3_mk_pbeq', AST, (_in(CONTEXT), _in(UINT), _in_array(1,AST), _in_array(1,INT), _in(INT))) + */ + Z3_ast Z3_API Z3_mk_pbeq(Z3_context c, unsigned num_args, + Z3_ast const args[], int const coeffs[], + int k); + + /** + \brief Convert a \c Z3_func_decl into \c Z3_ast. This is just type casting. + + def_API('Z3_func_decl_to_ast', AST, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_ast Z3_API Z3_func_decl_to_ast(Z3_context c, Z3_func_decl f); + + /** + \brief Compare terms. + + def_API('Z3_is_eq_func_decl', BOOL, (_in(CONTEXT), _in(FUNC_DECL), _in(FUNC_DECL))) + */ + bool Z3_API Z3_is_eq_func_decl(Z3_context c, Z3_func_decl f1, Z3_func_decl f2); + + /** + \brief Return a unique identifier for \c f. + + def_API('Z3_get_func_decl_id', UINT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + unsigned Z3_API Z3_get_func_decl_id(Z3_context c, Z3_func_decl f); + + /** + \brief Return the constant declaration name as a symbol. + + def_API('Z3_get_decl_name', SYMBOL, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_symbol Z3_API Z3_get_decl_name(Z3_context c, Z3_func_decl d); + + /** + \brief Return declaration kind corresponding to declaration. + + def_API('Z3_get_decl_kind', UINT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_decl_kind Z3_API Z3_get_decl_kind(Z3_context c, Z3_func_decl d); + + /** + \brief Return the number of parameters of the given declaration. + + \sa Z3_get_arity + + def_API('Z3_get_domain_size', UINT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + unsigned Z3_API Z3_get_domain_size(Z3_context c, Z3_func_decl d); + + /** + \brief Alias for \c Z3_get_domain_size. + + \sa Z3_get_domain_size + + def_API('Z3_get_arity', UINT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + unsigned Z3_API Z3_get_arity(Z3_context c, Z3_func_decl d); + + /** + \brief Return the sort of the i-th parameter of the given function declaration. + + \pre i < Z3_get_domain_size(d) + + \sa Z3_get_domain_size + + def_API('Z3_get_domain', SORT, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_sort Z3_API Z3_get_domain(Z3_context c, Z3_func_decl d, unsigned i); + + /** + \brief Return the range of the given declaration. + + If \c d is a constant (i.e., has zero arguments), then this + function returns the sort of the constant. + + def_API('Z3_get_range', SORT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_sort Z3_API Z3_get_range(Z3_context c, Z3_func_decl d); + + /** + \brief Return the number of parameters associated with a declaration. + + def_API('Z3_get_decl_num_parameters', UINT, (_in(CONTEXT), _in(FUNC_DECL))) + */ + unsigned Z3_API Z3_get_decl_num_parameters(Z3_context c, Z3_func_decl d); + + /** + \brief Return the parameter type associated with a declaration. + + \param c the context + \param d the function declaration + \param idx is the index of the named parameter it should be between 0 and the number of parameters. + + def_API('Z3_get_decl_parameter_kind', UINT, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_parameter_kind Z3_API Z3_get_decl_parameter_kind(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the integer value associated with an integer parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_INT + + def_API('Z3_get_decl_int_parameter', INT, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + int Z3_API Z3_get_decl_int_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the double value associated with an double parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_DOUBLE + + def_API('Z3_get_decl_double_parameter', DOUBLE, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + double Z3_API Z3_get_decl_double_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the double value associated with an double parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_SYMBOL + + def_API('Z3_get_decl_symbol_parameter', SYMBOL, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_symbol Z3_API Z3_get_decl_symbol_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the sort value associated with a sort parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_SORT + + def_API('Z3_get_decl_sort_parameter', SORT, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_sort Z3_API Z3_get_decl_sort_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the expression value associated with an expression parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_AST + + def_API('Z3_get_decl_ast_parameter', AST, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_decl_ast_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the expression value associated with an expression parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_FUNC_DECL + + def_API('Z3_get_decl_func_decl_parameter', FUNC_DECL, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_get_decl_func_decl_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Return the rational value, as a string, associated with a rational parameter. + + \pre Z3_get_decl_parameter_kind(c, d, idx) == Z3_PARAMETER_RATIONAL + + def_API('Z3_get_decl_rational_parameter', STRING, (_in(CONTEXT), _in(FUNC_DECL), _in(UINT))) + */ + Z3_string Z3_API Z3_get_decl_rational_parameter(Z3_context c, Z3_func_decl d, unsigned idx); + + /** + \brief Convert a \c Z3_app into \c Z3_ast. This is just type casting. + + def_API('Z3_app_to_ast', AST, (_in(CONTEXT), _in(APP))) + */ + Z3_ast Z3_API Z3_app_to_ast(Z3_context c, Z3_app a); + + /** + \brief Return the declaration of a constant or function application. + + def_API('Z3_get_app_decl', FUNC_DECL, (_in(CONTEXT), _in(APP))) + */ + Z3_func_decl Z3_API Z3_get_app_decl(Z3_context c, Z3_app a); + + /** + \brief Return the number of argument of an application. If \c t + is an constant, then the number of arguments is 0. + + def_API('Z3_get_app_num_args', UINT, (_in(CONTEXT), _in(APP))) + */ + unsigned Z3_API Z3_get_app_num_args(Z3_context c, Z3_app a); + + /** + \brief Return the i-th argument of the given application. + + \pre i < Z3_get_app_num_args(c, a) + + def_API('Z3_get_app_arg', AST, (_in(CONTEXT), _in(APP), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_app_arg(Z3_context c, Z3_app a, unsigned i); + + /** + \brief Compare terms. + + def_API('Z3_is_eq_ast', BOOL, (_in(CONTEXT), _in(AST), _in(AST))) + */ + bool Z3_API Z3_is_eq_ast(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Return a unique identifier for \c t. + The identifier is unique up to structural equality. Thus, two ast nodes + created by the same context and having the same children and same function symbols + have the same identifiers. Ast nodes created in the same context, but having + different children or different functions have different identifiers. + Variables and quantifiers are also assigned different identifiers according to + their structure. + + def_API('Z3_get_ast_id', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_ast_id(Z3_context c, Z3_ast t); + + /** + \brief Return a hash code for the given AST. + The hash code is structural. You can use Z3_get_ast_id interchangeably with + this function. + + def_API('Z3_get_ast_hash', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_ast_hash(Z3_context c, Z3_ast a); + + /** + \brief Return the sort of an AST node. + + The AST node must be a constant, application, numeral, bound variable, or quantifier. + + def_API('Z3_get_sort', SORT, (_in(CONTEXT), _in(AST))) + */ + Z3_sort Z3_API Z3_get_sort(Z3_context c, Z3_ast a); + + /** + \brief Return true if the given expression \c t is well sorted. + + def_API('Z3_is_well_sorted', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_well_sorted(Z3_context c, Z3_ast t); + + /** + \brief Return \c Z3_L_TRUE if \c a is true, \c Z3_L_FALSE if it is false, and \c Z3_L_UNDEF otherwise. + + def_API('Z3_get_bool_value', INT, (_in(CONTEXT), _in(AST))) + */ + Z3_lbool Z3_API Z3_get_bool_value(Z3_context c, Z3_ast a); + + /** + \brief Return the kind of the given AST. + + def_API('Z3_get_ast_kind', UINT, (_in(CONTEXT), _in(AST))) + */ + Z3_ast_kind Z3_API Z3_get_ast_kind(Z3_context c, Z3_ast a); + + /** + def_API('Z3_is_app', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_app(Z3_context c, Z3_ast a); + + /** + def_API('Z3_is_numeral_ast', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_numeral_ast(Z3_context c, Z3_ast a); + + /** + \brief Return true if the given AST is a real algebraic number. + + def_API('Z3_is_algebraic_number', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_algebraic_number(Z3_context c, Z3_ast a); + + /** + \brief Convert an \c ast into an \c APP_AST. This is just type casting. + + \pre \code Z3_get_ast_kind(c, a) == \c Z3_APP_AST \endcode + + def_API('Z3_to_app', APP, (_in(CONTEXT), _in(AST))) + */ + Z3_app Z3_API Z3_to_app(Z3_context c, Z3_ast a); + + /** + \brief Convert an AST into a FUNC_DECL_AST. This is just type casting. + + \pre \code Z3_get_ast_kind(c, a) == Z3_FUNC_DECL_AST \endcode + + def_API('Z3_to_func_decl', FUNC_DECL, (_in(CONTEXT), _in(AST))) + */ + Z3_func_decl Z3_API Z3_to_func_decl(Z3_context c, Z3_ast a); + + /** + \brief Return numeral value, as a string of a numeric constant term + + \pre Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST + + def_API('Z3_get_numeral_string', STRING, (_in(CONTEXT), _in(AST))) + */ + Z3_string Z3_API Z3_get_numeral_string(Z3_context c, Z3_ast a); + + /** + \brief Return numeral as a string in decimal notation. + The result has at most \c precision decimal places. + + \pre Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST || Z3_is_algebraic_number(c, a) + + def_API('Z3_get_numeral_decimal_string', STRING, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_string Z3_API Z3_get_numeral_decimal_string(Z3_context c, Z3_ast a, unsigned precision); + + /** + \brief Return numeral as a double. + + \pre Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST || Z3_is_algebraic_number(c, a) + + def_API('Z3_get_numeral_double', DOUBLE, (_in(CONTEXT), _in(AST))) + */ + double Z3_API Z3_get_numeral_double(Z3_context c, Z3_ast a); + + /** + \brief Return the numerator (as a numeral AST) of a numeral AST of sort Real. + + \pre Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST + + def_API('Z3_get_numerator', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_get_numerator(Z3_context c, Z3_ast a); + + /** + \brief Return the denominator (as a numeral AST) of a numeral AST of sort Real. + + \pre Z3_get_ast_kind(c, a) == Z3_NUMERAL_AST + + def_API('Z3_get_denominator', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_get_denominator(Z3_context c, Z3_ast a); + + /** + \brief Return numeral value, as a pair of 64 bit numbers if the representation fits. + + \param c logical context. + \param a term. + \param num numerator. + \param den denominator. + + Return \c true if the numeral value fits in 64 bit numerals, \c false otherwise. + + \pre Z3_get_ast_kind(a) == Z3_NUMERAL_AST + + def_API('Z3_get_numeral_small', BOOL, (_in(CONTEXT), _in(AST), _out(INT64), _out(INT64))) + */ + bool Z3_API Z3_get_numeral_small(Z3_context c, Z3_ast a, int64_t* num, int64_t* den); + + /** + \brief Similar to #Z3_get_numeral_string, but only succeeds if + the value can fit in a machine int. Return \c true if the call succeeded. + + \pre Z3_get_ast_kind(c, v) == Z3_NUMERAL_AST + + \sa Z3_get_numeral_string + + def_API('Z3_get_numeral_int', BOOL, (_in(CONTEXT), _in(AST), _out(INT))) + */ + bool Z3_API Z3_get_numeral_int(Z3_context c, Z3_ast v, int* i); + + /** + \brief Similar to #Z3_get_numeral_string, but only succeeds if + the value can fit in a machine unsigned int. Return \c true if the call succeeded. + + \pre Z3_get_ast_kind(c, v) == Z3_NUMERAL_AST + + \sa Z3_get_numeral_string + + def_API('Z3_get_numeral_uint', BOOL, (_in(CONTEXT), _in(AST), _out(UINT))) + */ + bool Z3_API Z3_get_numeral_uint(Z3_context c, Z3_ast v, unsigned* u); + + /** + \brief Similar to #Z3_get_numeral_string, but only succeeds if + the value can fit in a machine \c uint64_t int. Return \c true if the call succeeded. + + \pre Z3_get_ast_kind(c, v) == Z3_NUMERAL_AST + + \sa Z3_get_numeral_string + + def_API('Z3_get_numeral_uint64', BOOL, (_in(CONTEXT), _in(AST), _out(UINT64))) + */ + bool Z3_API Z3_get_numeral_uint64(Z3_context c, Z3_ast v, uint64_t* u); + + /** + \brief Similar to #Z3_get_numeral_string, but only succeeds if + the value can fit in a machine \c int64_t int. Return \c true if the call succeeded. + + \pre Z3_get_ast_kind(c, v) == Z3_NUMERAL_AST + + \sa Z3_get_numeral_string + + def_API('Z3_get_numeral_int64', BOOL, (_in(CONTEXT), _in(AST), _out(INT64))) + */ + bool Z3_API Z3_get_numeral_int64(Z3_context c, Z3_ast v, int64_t* i); + + /** + \brief Similar to #Z3_get_numeral_string, but only succeeds if + the value can fit as a rational number as machine \c int64_t int. Return \c true if the call succeeded. + + \pre Z3_get_ast_kind(c, v) == Z3_NUMERAL_AST + + \sa Z3_get_numeral_string + + def_API('Z3_get_numeral_rational_int64', BOOL, (_in(CONTEXT), _in(AST), _out(INT64), _out(INT64))) + */ + bool Z3_API Z3_get_numeral_rational_int64(Z3_context c, Z3_ast v, int64_t* num, int64_t* den); + + /** + \brief Return a lower bound for the given real algebraic number. + The interval isolating the number is smaller than 1/10^precision. + The result is a numeral AST of sort Real. + + \pre Z3_is_algebraic_number(c, a) + + def_API('Z3_get_algebraic_number_lower', AST, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_algebraic_number_lower(Z3_context c, Z3_ast a, unsigned precision); + + /** + \brief Return a upper bound for the given real algebraic number. + The interval isolating the number is smaller than 1/10^precision. + The result is a numeral AST of sort Real. + + \pre Z3_is_algebraic_number(c, a) + + def_API('Z3_get_algebraic_number_upper', AST, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_algebraic_number_upper(Z3_context c, Z3_ast a, unsigned precision); + + /** + \brief Convert a Z3_pattern into Z3_ast. This is just type casting. + + def_API('Z3_pattern_to_ast', AST, (_in(CONTEXT), _in(PATTERN))) + */ + Z3_ast Z3_API Z3_pattern_to_ast(Z3_context c, Z3_pattern p); + + /** + \brief Return number of terms in pattern. + + def_API('Z3_get_pattern_num_terms', UINT, (_in(CONTEXT), _in(PATTERN))) + */ + unsigned Z3_API Z3_get_pattern_num_terms(Z3_context c, Z3_pattern p); + + /** + \brief Return i'th ast in pattern. + + def_API('Z3_get_pattern', AST, (_in(CONTEXT), _in(PATTERN), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_pattern(Z3_context c, Z3_pattern p, unsigned idx); + + /** + \brief Return index of de-Bruijn bound variable. + + \pre Z3_get_ast_kind(a) == Z3_VAR_AST + + def_API('Z3_get_index_value', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_index_value(Z3_context c, Z3_ast a); + + /** + \brief Determine if an ast is a universal quantifier. + + def_API('Z3_is_quantifier_forall', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_quantifier_forall(Z3_context c, Z3_ast a); + + /** + \brief Determine if ast is an existential quantifier. + + + def_API('Z3_is_quantifier_exists', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_quantifier_exists(Z3_context c, Z3_ast a); + + /** + \brief Determine if ast is a lambda expression. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_is_lambda', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_lambda(Z3_context c, Z3_ast a); + + /** + \brief Obtain weight of quantifier. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_weight', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_quantifier_weight(Z3_context c, Z3_ast a); + + /** + \brief Return number of patterns used in quantifier. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_num_patterns', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_quantifier_num_patterns(Z3_context c, Z3_ast a); + + /** + \brief Return i'th pattern. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_pattern_ast', PATTERN, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_pattern Z3_API Z3_get_quantifier_pattern_ast(Z3_context c, Z3_ast a, unsigned i); + + /** + \brief Return number of no_patterns used in quantifier. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_num_no_patterns', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_quantifier_num_no_patterns(Z3_context c, Z3_ast a); + + /** + \brief Return i'th no_pattern. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_no_pattern_ast', AST, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_ast Z3_API Z3_get_quantifier_no_pattern_ast(Z3_context c, Z3_ast a, unsigned i); + + /** + \brief Return number of bound variables of quantifier. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_num_bound', UINT, (_in(CONTEXT), _in(AST))) + */ + unsigned Z3_API Z3_get_quantifier_num_bound(Z3_context c, Z3_ast a); + + /** + \brief Return symbol of the i'th bound variable. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_bound_name', SYMBOL, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_symbol Z3_API Z3_get_quantifier_bound_name(Z3_context c, Z3_ast a, unsigned i); + + /** + \brief Return sort of the i'th bound variable. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_bound_sort', SORT, (_in(CONTEXT), _in(AST), _in(UINT))) + */ + Z3_sort Z3_API Z3_get_quantifier_bound_sort(Z3_context c, Z3_ast a, unsigned i); + + /** + \brief Return body of quantifier. + + \pre Z3_get_ast_kind(a) == Z3_QUANTIFIER_AST + + def_API('Z3_get_quantifier_body', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_get_quantifier_body(Z3_context c, Z3_ast a); + + /** + \brief Interface to simplifier. + + Provides an interface to the AST simplifier used by Z3. + It returns an AST object which is equal to the argument. + The returned AST is simplified using algebraic simplification rules, + such as constant propagation (propagating true/false over logical connectives). + + \sa Z3_simplify_ex + + def_API('Z3_simplify', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_simplify(Z3_context c, Z3_ast a); + + /** + \brief Interface to simplifier. + + Provides an interface to the AST simplifier used by Z3. + This procedure is similar to #Z3_simplify, but the behavior of the simplifier + can be configured using the given parameter set. + + \sa Z3_simplify + \sa Z3_simplify_get_help + \sa Z3_simplify_get_param_descrs + + def_API('Z3_simplify_ex', AST, (_in(CONTEXT), _in(AST), _in(PARAMS))) + */ + Z3_ast Z3_API Z3_simplify_ex(Z3_context c, Z3_ast a, Z3_params p); + + /** + \brief Return a string describing all available parameters. + + \sa Z3_simplify_ex + \sa Z3_simplify_get_param_descrs + + def_API('Z3_simplify_get_help', STRING, (_in(CONTEXT),)) + */ + Z3_string Z3_API Z3_simplify_get_help(Z3_context c); + + /** + \brief Return the parameter description set for the simplify procedure. + + \sa Z3_simplify_ex + \sa Z3_simplify_get_help + + def_API('Z3_simplify_get_param_descrs', PARAM_DESCRS, (_in(CONTEXT),)) + */ + Z3_param_descrs Z3_API Z3_simplify_get_param_descrs(Z3_context c); + /*@}*/ + + /** @name Modifiers */ + /*@{*/ + /** + \brief Update the arguments of term \c a using the arguments \c args. + The number of arguments \c num_args should coincide + with the number of arguments to \c a. + If \c a is a quantifier, then num_args has to be 1. + + def_API('Z3_update_term', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST))) + */ + Z3_ast Z3_API Z3_update_term(Z3_context c, Z3_ast a, unsigned num_args, Z3_ast const args[]); + + /** + \brief Substitute every occurrence of \ccode{from[i]} in \c a with \ccode{to[i]}, for \c i smaller than \c num_exprs. + The result is the new AST. The arrays \c from and \c to must have size \c num_exprs. + For every \c i smaller than \c num_exprs, we must have that sort of \ccode{from[i]} must be equal to sort of \ccode{to[i]}. + + def_API('Z3_substitute', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST), _in_array(2, AST))) + */ + Z3_ast Z3_API Z3_substitute(Z3_context c, + Z3_ast a, + unsigned num_exprs, + Z3_ast const from[], + Z3_ast const to[]); + + /** + \brief Substitute the free variables in \c a with the expressions in \c to. + For every \c i smaller than \c num_exprs, the variable with de-Bruijn index \c i is replaced with term \ccode{to[i]}. + + def_API('Z3_substitute_vars', AST, (_in(CONTEXT), _in(AST), _in(UINT), _in_array(2, AST))) + */ + Z3_ast Z3_API Z3_substitute_vars(Z3_context c, + Z3_ast a, + unsigned num_exprs, + Z3_ast const to[]); + + /** + \brief Translate/Copy the AST \c a from context \c source to context \c target. + AST \c a must have been created using context \c source. + \pre source != target + + def_API('Z3_translate', AST, (_in(CONTEXT), _in(AST), _in(CONTEXT))) + */ + Z3_ast Z3_API Z3_translate(Z3_context source, Z3_ast a, Z3_context target); + /*@}*/ + + /** @name Models */ + /*@{*/ + + /** + \brief Create a fresh model object. It has reference count 0. + + def_API('Z3_mk_model', MODEL, (_in(CONTEXT),)) + */ + Z3_model Z3_API Z3_mk_model(Z3_context c); + + /** + \brief Increment the reference counter of the given model. + + def_API('Z3_model_inc_ref', VOID, (_in(CONTEXT), _in(MODEL))) + */ + void Z3_API Z3_model_inc_ref(Z3_context c, Z3_model m); + + /** + \brief Decrement the reference counter of the given model. + + def_API('Z3_model_dec_ref', VOID, (_in(CONTEXT), _in(MODEL))) + */ + void Z3_API Z3_model_dec_ref(Z3_context c, Z3_model m); + + /** + \brief Evaluate the AST node \c t in the given model. + Return \c true if succeeded, and store the result in \c v. + + If \c model_completion is \c true, then Z3 will assign an interpretation for any constant or function that does + not have an interpretation in \c m. These constants and functions were essentially don't cares. + + If \c model_completion is \c false, then Z3 will not assign interpretations to constants for functions that do + not have interpretations in \c m. Evaluation behaves as the identify function in this case. + + The evaluation may fail for the following reasons: + + - \c t contains a quantifier. + + - the model \c m is partial, that is, it doesn't have a complete interpretation for uninterpreted functions. + That is, the option \ccode{MODEL_PARTIAL=true} was used. + + - \c t is type incorrect. + + - \c Z3_interrupt was invoked during evaluation. + + def_API('Z3_model_eval', BOOL, (_in(CONTEXT), _in(MODEL), _in(AST), _in(BOOL), _out(AST))) + */ + Z3_bool_opt Z3_API Z3_model_eval(Z3_context c, Z3_model m, Z3_ast t, bool model_completion, Z3_ast * v); + + /** + \brief Return the interpretation (i.e., assignment) of constant \c a in the model \c m. + Return \c NULL, if the model does not assign an interpretation for \c a. + That should be interpreted as: the value of \c a does not matter. + + \pre Z3_get_arity(c, a) == 0 + + def_API('Z3_model_get_const_interp', AST, (_in(CONTEXT), _in(MODEL), _in(FUNC_DECL))) + */ + Z3_ast_opt Z3_API Z3_model_get_const_interp(Z3_context c, Z3_model m, Z3_func_decl a); + + /** + \brief Test if there exists an interpretation (i.e., assignment) for \c a in the model \c m. + + def_API('Z3_model_has_interp', BOOL, (_in(CONTEXT), _in(MODEL), _in(FUNC_DECL))) + */ + bool Z3_API Z3_model_has_interp(Z3_context c, Z3_model m, Z3_func_decl a); + + /** + \brief Return the interpretation of the function \c f in the model \c m. + Return \c NULL, if the model does not assign an interpretation for \c f. + That should be interpreted as: the \c f does not matter. + + \pre Z3_get_arity(c, f) > 0 + + \remark Reference counting must be used to manage Z3_func_interp objects, even when the Z3_context was + created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_model_get_func_interp', FUNC_INTERP, (_in(CONTEXT), _in(MODEL), _in(FUNC_DECL))) + */ + Z3_func_interp_opt Z3_API Z3_model_get_func_interp(Z3_context c, Z3_model m, Z3_func_decl f); + + /** + \brief Return the number of constants assigned by the given model. + + \sa Z3_model_get_const_decl + + def_API('Z3_model_get_num_consts', UINT, (_in(CONTEXT), _in(MODEL))) + */ + unsigned Z3_API Z3_model_get_num_consts(Z3_context c, Z3_model m); + + /** + \brief Return the i-th constant in the given model. + + \pre i < Z3_model_get_num_consts(c, m) + + \sa Z3_model_eval + + def_API('Z3_model_get_const_decl', FUNC_DECL, (_in(CONTEXT), _in(MODEL), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_model_get_const_decl(Z3_context c, Z3_model m, unsigned i); + + /** + \brief Return the number of function interpretations in the given model. + + A function interpretation is represented as a finite map and an 'else' value. + Each entry in the finite map represents the value of a function given a set of arguments. + + def_API('Z3_model_get_num_funcs', UINT, (_in(CONTEXT), _in(MODEL))) + */ + unsigned Z3_API Z3_model_get_num_funcs(Z3_context c, Z3_model m); + + /** + \brief Return the declaration of the i-th function in the given model. + + \pre i < Z3_model_get_num_funcs(c, m) + + \sa Z3_model_get_num_funcs + + def_API('Z3_model_get_func_decl', FUNC_DECL, (_in(CONTEXT), _in(MODEL), _in(UINT))) + */ + Z3_func_decl Z3_API Z3_model_get_func_decl(Z3_context c, Z3_model m, unsigned i); + + /** + \brief Return the number of uninterpreted sorts that \c m assigns an interpretation to. + + Z3 also provides an interpretation for uninterpreted sorts used in a formula. + The interpretation for a sort \c s is a finite set of distinct values. We say this finite set is + the "universe" of \c s. + + \sa Z3_model_get_sort + \sa Z3_model_get_sort_universe + + def_API('Z3_model_get_num_sorts', UINT, (_in(CONTEXT), _in(MODEL))) + */ + unsigned Z3_API Z3_model_get_num_sorts(Z3_context c, Z3_model m); + + /** + \brief Return a uninterpreted sort that \c m assigns an interpretation. + + \pre i < Z3_model_get_num_sorts(c, m) + + \sa Z3_model_get_num_sorts + \sa Z3_model_get_sort_universe + + def_API('Z3_model_get_sort', SORT, (_in(CONTEXT), _in(MODEL), _in(UINT))) + */ + Z3_sort Z3_API Z3_model_get_sort(Z3_context c, Z3_model m, unsigned i); + + /** + \brief Return the finite set of distinct values that represent the interpretation for sort \c s. + + \sa Z3_model_get_num_sorts + \sa Z3_model_get_sort + + def_API('Z3_model_get_sort_universe', AST_VECTOR, (_in(CONTEXT), _in(MODEL), _in(SORT))) + */ + Z3_ast_vector Z3_API Z3_model_get_sort_universe(Z3_context c, Z3_model m, Z3_sort s); + + /** + \brief translate model from context \c c to context \c dst. + + def_API('Z3_model_translate', MODEL, (_in(CONTEXT), _in(MODEL), _in(CONTEXT))) + */ + Z3_model Z3_API Z3_model_translate(Z3_context c, Z3_model m, Z3_context dst); + + /** + \brief The \ccode{(_ as-array f)} AST node is a construct for assigning interpretations for arrays in Z3. + It is the array such that forall indices \c i we have that \ccode{(select (_ as-array f) i)} is equal to \ccode{(f i)}. + This procedure returns \c true if the \c a is an \c as-array AST node. + + Z3 current solvers have minimal support for \c as_array nodes. + + \sa Z3_get_as_array_func_decl + + def_API('Z3_is_as_array', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_is_as_array(Z3_context c, Z3_ast a); + + /** + \brief Return the function declaration \c f associated with a \ccode{(_ as_array f)} node. + + \sa Z3_is_as_array + + def_API('Z3_get_as_array_func_decl', FUNC_DECL, (_in(CONTEXT), _in(AST))) + */ + Z3_func_decl Z3_API Z3_get_as_array_func_decl(Z3_context c, Z3_ast a); + + /** + \brief Create a fresh func_interp object, add it to a model for a specified function. + It has reference count 0. + + \param c context + \param m model + \param f function declaration + \param default_value default value for function interpretation + + def_API('Z3_add_func_interp', FUNC_INTERP, (_in(CONTEXT), _in(MODEL), _in(FUNC_DECL), _in(AST))) + */ + Z3_func_interp Z3_API Z3_add_func_interp(Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast default_value); + + /** + \brief Add a constant interpretation. + + def_API('Z3_add_const_interp', VOID, (_in(CONTEXT), _in(MODEL), _in(FUNC_DECL), _in(AST))) + */ + void Z3_API Z3_add_const_interp(Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast a); + + /** + \brief Increment the reference counter of the given Z3_func_interp object. + + def_API('Z3_func_interp_inc_ref', VOID, (_in(CONTEXT), _in(FUNC_INTERP))) + */ + void Z3_API Z3_func_interp_inc_ref(Z3_context c, Z3_func_interp f); + + /** + \brief Decrement the reference counter of the given Z3_func_interp object. + + def_API('Z3_func_interp_dec_ref', VOID, (_in(CONTEXT), _in(FUNC_INTERP))) + */ + void Z3_API Z3_func_interp_dec_ref(Z3_context c, Z3_func_interp f); + + /** + \brief Return the number of entries in the given function interpretation. + + A function interpretation is represented as a finite map and an 'else' value. + Each entry in the finite map represents the value of a function given a set of arguments. + This procedure return the number of element in the finite map of \c f. + + def_API('Z3_func_interp_get_num_entries', UINT, (_in(CONTEXT), _in(FUNC_INTERP))) + */ + unsigned Z3_API Z3_func_interp_get_num_entries(Z3_context c, Z3_func_interp f); + + /** + \brief Return a "point" of the given function interpretation. It represents the + value of \c f in a particular point. + + \pre i < Z3_func_interp_get_num_entries(c, f) + + \sa Z3_func_interp_get_num_entries + + def_API('Z3_func_interp_get_entry', FUNC_ENTRY, (_in(CONTEXT), _in(FUNC_INTERP), _in(UINT))) + */ + Z3_func_entry Z3_API Z3_func_interp_get_entry(Z3_context c, Z3_func_interp f, unsigned i); + + /** + \brief Return the 'else' value of the given function interpretation. + + A function interpretation is represented as a finite map and an 'else' value. + This procedure returns the 'else' value. + + def_API('Z3_func_interp_get_else', AST, (_in(CONTEXT), _in(FUNC_INTERP))) + */ + Z3_ast Z3_API Z3_func_interp_get_else(Z3_context c, Z3_func_interp f); + + /** + \brief Return the 'else' value of the given function interpretation. + + A function interpretation is represented as a finite map and an 'else' value. + This procedure can be used to update the 'else' value. + + def_API('Z3_func_interp_set_else', VOID, (_in(CONTEXT), _in(FUNC_INTERP), _in(AST))) + */ + void Z3_API Z3_func_interp_set_else(Z3_context c, Z3_func_interp f, Z3_ast else_value); + + /** + \brief Return the arity (number of arguments) of the given function interpretation. + + def_API('Z3_func_interp_get_arity', UINT, (_in(CONTEXT), _in(FUNC_INTERP))) + */ + unsigned Z3_API Z3_func_interp_get_arity(Z3_context c, Z3_func_interp f); + + /** + \brief add a function entry to a function interpretation. + + \param c logical context + \param fi a function interpretation to be updated. + \param args list of arguments. They should be constant values (such as integers) and be of the same types as the domain of the function. + \param value value of the function when the parameters match args. + + It is assumed that entries added to a function cover disjoint arguments. + If an two entries are added with the same arguments, only the second insertion survives and the + first inserted entry is removed. + + def_API('Z3_func_interp_add_entry', VOID, (_in(CONTEXT), _in(FUNC_INTERP), _in(AST_VECTOR), _in(AST))) + */ + void Z3_API Z3_func_interp_add_entry(Z3_context c, Z3_func_interp fi, Z3_ast_vector args, Z3_ast value); + + /** + \brief Increment the reference counter of the given Z3_func_entry object. + + def_API('Z3_func_entry_inc_ref', VOID, (_in(CONTEXT), _in(FUNC_ENTRY))) + */ + void Z3_API Z3_func_entry_inc_ref(Z3_context c, Z3_func_entry e); + + /** + \brief Decrement the reference counter of the given Z3_func_entry object. + + def_API('Z3_func_entry_dec_ref', VOID, (_in(CONTEXT), _in(FUNC_ENTRY))) + */ + void Z3_API Z3_func_entry_dec_ref(Z3_context c, Z3_func_entry e); + + /** + \brief Return the value of this point. + + A Z3_func_entry object represents an element in the finite map used to encode + a function interpretation. + + \sa Z3_func_interp_get_entry + + def_API('Z3_func_entry_get_value', AST, (_in(CONTEXT), _in(FUNC_ENTRY))) + */ + Z3_ast Z3_API Z3_func_entry_get_value(Z3_context c, Z3_func_entry e); + + /** + \brief Return the number of arguments in a Z3_func_entry object. + + \sa Z3_func_interp_get_entry + + def_API('Z3_func_entry_get_num_args', UINT, (_in(CONTEXT), _in(FUNC_ENTRY))) + */ + unsigned Z3_API Z3_func_entry_get_num_args(Z3_context c, Z3_func_entry e); + + /** + \brief Return an argument of a Z3_func_entry object. + + \pre i < Z3_func_entry_get_num_args(c, e) + + \sa Z3_func_interp_get_entry + + def_API('Z3_func_entry_get_arg', AST, (_in(CONTEXT), _in(FUNC_ENTRY), _in(UINT))) + */ + Z3_ast Z3_API Z3_func_entry_get_arg(Z3_context c, Z3_func_entry e, unsigned i); + /*@}*/ + + /** @name Interaction logging */ + /*@{*/ + /** + \brief Log interaction to a file. + + extra_API('Z3_open_log', INT, (_in(STRING),)) + */ + bool Z3_API Z3_open_log(Z3_string filename); + + /** + \brief Append user-defined string to interaction log. + + The interaction log is opened using Z3_open_log. + It contains the formulas that are checked using Z3. + You can use this command to append comments, for instance. + + extra_API('Z3_append_log', VOID, (_in(STRING),)) + */ + void Z3_API Z3_append_log(Z3_string string); + + /** + \brief Close interaction log. + + extra_API('Z3_close_log', VOID, ()) + */ + void Z3_API Z3_close_log(void); + + /** + \brief Enable/disable printing warning messages to the console. + + Warnings are printed after passing \c true, warning messages are + suppressed after calling this method with \c false. + + def_API('Z3_toggle_warning_messages', VOID, (_in(BOOL),)) + */ + void Z3_API Z3_toggle_warning_messages(bool enabled); + /*@}*/ + + /** @name String conversion */ + /*@{*/ + /** + \brief Select mode for the format used for pretty-printing AST nodes. + + The default mode for pretty printing AST nodes is to produce + SMT-LIB style output where common subexpressions are printed + at each occurrence. The mode is called Z3_PRINT_SMTLIB_FULL. + To print shared common subexpressions only once, + use the Z3_PRINT_LOW_LEVEL mode. + To print in way that conforms to SMT-LIB standards and uses let + expressions to share common sub-expressions use Z3_PRINT_SMTLIB2_COMPLIANT. + + \sa Z3_ast_to_string + \sa Z3_pattern_to_string + \sa Z3_func_decl_to_string + + def_API('Z3_set_ast_print_mode', VOID, (_in(CONTEXT), _in(PRINT_MODE))) + */ + void Z3_API Z3_set_ast_print_mode(Z3_context c, Z3_ast_print_mode mode); + + /** + \brief Convert the given AST node into a string. + + \warning The result buffer is statically allocated by Z3. It will + be automatically deallocated when #Z3_del_context is invoked. + So, the buffer is invalidated in the next call to \c Z3_ast_to_string. + + \sa Z3_pattern_to_string + \sa Z3_sort_to_string + + def_API('Z3_ast_to_string', STRING, (_in(CONTEXT), _in(AST))) + */ + Z3_string Z3_API Z3_ast_to_string(Z3_context c, Z3_ast a); + + /** + def_API('Z3_pattern_to_string', STRING, (_in(CONTEXT), _in(PATTERN))) + */ + Z3_string Z3_API Z3_pattern_to_string(Z3_context c, Z3_pattern p); + + /** + def_API('Z3_sort_to_string', STRING, (_in(CONTEXT), _in(SORT))) + */ + Z3_string Z3_API Z3_sort_to_string(Z3_context c, Z3_sort s); + + /** + def_API('Z3_func_decl_to_string', STRING, (_in(CONTEXT), _in(FUNC_DECL))) + */ + Z3_string Z3_API Z3_func_decl_to_string(Z3_context c, Z3_func_decl d); + + /** + \brief Convert the given model into a string. + + \warning The result buffer is statically allocated by Z3. It will + be automatically deallocated when #Z3_del_context is invoked. + So, the buffer is invalidated in the next call to \c Z3_model_to_string. + + def_API('Z3_model_to_string', STRING, (_in(CONTEXT), _in(MODEL))) + */ + Z3_string Z3_API Z3_model_to_string(Z3_context c, Z3_model m); + + /** + \brief Convert the given benchmark into SMT-LIB formatted string. + + \warning The result buffer is statically allocated by Z3. It will + be automatically deallocated when #Z3_del_context is invoked. + So, the buffer is invalidated in the next call to \c Z3_benchmark_to_smtlib_string. + + \param c - context. + \param name - name of benchmark. The argument is optional. + \param logic - the benchmark logic. + \param status - the status string (sat, unsat, or unknown) + \param attributes - other attributes, such as source, difficulty or category. + \param num_assumptions - number of assumptions. + \param assumptions - auxiliary assumptions. + \param formula - formula to be checked for consistency in conjunction with assumptions. + + def_API('Z3_benchmark_to_smtlib_string', STRING, (_in(CONTEXT), _in(STRING), _in(STRING), _in(STRING), _in(STRING), _in(UINT), _in_array(5, AST), _in(AST))) + */ + Z3_string Z3_API Z3_benchmark_to_smtlib_string(Z3_context c, + Z3_string name, + Z3_string logic, + Z3_string status, + Z3_string attributes, + unsigned num_assumptions, + Z3_ast const assumptions[], + Z3_ast formula); + + /*@}*/ + + /** @name Parser interface */ + /*@{*/ + /** + \brief Parse the given string using the SMT-LIB2 parser. + + It returns a formula comprising of the conjunction of assertions in the scope + (up to push/pop) at the end of the string. + + def_API('Z3_parse_smtlib2_string', AST_VECTOR, (_in(CONTEXT), _in(STRING), _in(UINT), _in_array(2, SYMBOL), _in_array(2, SORT), _in(UINT), _in_array(5, SYMBOL), _in_array(5, FUNC_DECL))) + */ + Z3_ast_vector Z3_API Z3_parse_smtlib2_string(Z3_context c, + Z3_string str, + unsigned num_sorts, + Z3_symbol const sort_names[], + Z3_sort const sorts[], + unsigned num_decls, + Z3_symbol const decl_names[], + Z3_func_decl const decls[]); + + /** + \brief Similar to #Z3_parse_smtlib2_string, but reads the benchmark from a file. + + def_API('Z3_parse_smtlib2_file', AST_VECTOR, (_in(CONTEXT), _in(STRING), _in(UINT), _in_array(2, SYMBOL), _in_array(2, SORT), _in(UINT), _in_array(5, SYMBOL), _in_array(5, FUNC_DECL))) + */ + Z3_ast_vector Z3_API Z3_parse_smtlib2_file(Z3_context c, + Z3_string file_name, + unsigned num_sorts, + Z3_symbol const sort_names[], + Z3_sort const sorts[], + unsigned num_decls, + Z3_symbol const decl_names[], + Z3_func_decl const decls[]); + + + /** + \brief Parse and evaluate and SMT-LIB2 command sequence. The state from a previous call is saved so the next + evaluation builds on top of the previous call. + + \returns output generated from processing commands. + + def_API('Z3_eval_smtlib2_string', STRING, (_in(CONTEXT), _in(STRING),)) + */ + + Z3_string Z3_API Z3_eval_smtlib2_string(Z3_context, Z3_string str); + + /*@}*/ + + /** @name Error Handling */ + /*@{*/ +#ifndef SAFE_ERRORS + /** + \brief Return the error code for the last API call. + + A call to a Z3 function may return a non Z3_OK error code, + when it is not used correctly. + + \sa Z3_set_error_handler + + def_API('Z3_get_error_code', UINT, (_in(CONTEXT), )) + */ + Z3_error_code Z3_API Z3_get_error_code(Z3_context c); + + /** + \brief Register a Z3 error handler. + + A call to a Z3 function may return a non Z3_OK error code, when + it is not used correctly. An error handler can be registered + and will be called in this case. To disable the use of the + error handler, simply register with \c h=NULL. + + \warning Log files, created using #Z3_open_log, may be potentially incomplete/incorrect if error handlers are used. + + \sa Z3_get_error_code + */ + void Z3_API Z3_set_error_handler(Z3_context c, Z3_error_handler h); +#endif + + /** + \brief Set an error. + + def_API('Z3_set_error', VOID, (_in(CONTEXT), _in(ERROR_CODE))) + */ + void Z3_API Z3_set_error(Z3_context c, Z3_error_code e); + + /** + \brief Return a string describing the given error code. + + def_API('Z3_get_error_msg', STRING, (_in(CONTEXT), _in(ERROR_CODE))) + */ + Z3_string Z3_API Z3_get_error_msg(Z3_context c, Z3_error_code err); + + /*@}*/ + + /** @name Miscellaneous */ + /*@{*/ + + /** + \brief Return Z3 version number information. + + def_API('Z3_get_version', VOID, (_out(UINT), _out(UINT), _out(UINT), _out(UINT))) + */ + void Z3_API Z3_get_version(unsigned * major, unsigned * minor, unsigned * build_number, unsigned * revision_number); + + /** + \brief Return a string that fully describes the version of Z3 in use. + + def_API('Z3_get_full_version', STRING, ()) + */ + Z3_string Z3_API Z3_get_full_version(void); + + /** + \brief Enable tracing messages tagged as \c tag when Z3 is compiled in debug mode. + It is a NOOP otherwise + + def_API('Z3_enable_trace', VOID, (_in(STRING),)) + */ + void Z3_API Z3_enable_trace(Z3_string tag); + + /** + \brief Disable tracing messages tagged as \c tag when Z3 is compiled in debug mode. + It is a NOOP otherwise + + def_API('Z3_disable_trace', VOID, (_in(STRING),)) + */ + void Z3_API Z3_disable_trace(Z3_string tag); + + /** + \brief Reset all allocated resources. + + Use this facility on out-of memory errors. + It allows discharging the previous state and resuming afresh. + Any pointers previously returned by the API + become invalid. + + def_API('Z3_reset_memory', VOID, ()) + */ + void Z3_API Z3_reset_memory(void); + + /** + \brief Destroy all allocated resources. + + Any pointers previously returned by the API become invalid. + Can be used for memory leak detection. + + def_API('Z3_finalize_memory', VOID, ()) + */ + void Z3_API Z3_finalize_memory(void); + /*@}*/ + + /** @name Goals */ + /*@{*/ + /** + \brief Create a goal (aka problem). A goal is essentially a set + of formulas, that can be solved and/or transformed using + tactics and solvers. + + If models == true, then model generation is enabled for the new goal. + + If unsat_cores == true, then unsat core generation is enabled for the new goal. + + If proofs == true, then proof generation is enabled for the new goal. Remark, the + Z3 context c must have been created with proof generation support. + + \remark Reference counting must be used to manage goals, even when the Z3_context was + created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_goal', GOAL, (_in(CONTEXT), _in(BOOL), _in(BOOL), _in(BOOL))) + */ + Z3_goal Z3_API Z3_mk_goal(Z3_context c, bool models, bool unsat_cores, bool proofs); + + /** + \brief Increment the reference counter of the given goal. + + def_API('Z3_goal_inc_ref', VOID, (_in(CONTEXT), _in(GOAL))) + */ + void Z3_API Z3_goal_inc_ref(Z3_context c, Z3_goal g); + + /** + \brief Decrement the reference counter of the given goal. + + def_API('Z3_goal_dec_ref', VOID, (_in(CONTEXT), _in(GOAL))) + */ + void Z3_API Z3_goal_dec_ref(Z3_context c, Z3_goal g); + + /** + \brief Return the "precision" of the given goal. Goals can be transformed using over and under approximations. + A under approximation is applied when the objective is to find a model for a given goal. + An over approximation is applied when the objective is to find a proof for a given goal. + + def_API('Z3_goal_precision', UINT, (_in(CONTEXT), _in(GOAL))) + */ + Z3_goal_prec Z3_API Z3_goal_precision(Z3_context c, Z3_goal g); + + /** + \brief Add a new formula \c a to the given goal. + The formula is split according to the following procedure that is applied + until a fixed-point: + Conjunctions are split into separate formulas. + Negations are distributed over disjunctions, resulting in separate formulas. + If the goal is \c false, adding new formulas is a no-op. + If the formula \c a is \c true, then nothing is added. + If the formula \c a is \c false, then the entire goal is replaced by the formula \c false. + + def_API('Z3_goal_assert', VOID, (_in(CONTEXT), _in(GOAL), _in(AST))) + */ + void Z3_API Z3_goal_assert(Z3_context c, Z3_goal g, Z3_ast a); + + /** + \brief Return true if the given goal contains the formula \c false. + + def_API('Z3_goal_inconsistent', BOOL, (_in(CONTEXT), _in(GOAL))) + */ + bool Z3_API Z3_goal_inconsistent(Z3_context c, Z3_goal g); + + /** + \brief Return the depth of the given goal. It tracks how many transformations were applied to it. + + def_API('Z3_goal_depth', UINT, (_in(CONTEXT), _in(GOAL))) + */ + unsigned Z3_API Z3_goal_depth(Z3_context c, Z3_goal g); + + /** + \brief Erase all formulas from the given goal. + + def_API('Z3_goal_reset', VOID, (_in(CONTEXT), _in(GOAL))) + */ + void Z3_API Z3_goal_reset(Z3_context c, Z3_goal g); + + /** + \brief Return the number of formulas in the given goal. + + def_API('Z3_goal_size', UINT, (_in(CONTEXT), _in(GOAL))) + */ + unsigned Z3_API Z3_goal_size(Z3_context c, Z3_goal g); + + /** + \brief Return a formula from the given goal. + + \pre idx < Z3_goal_size(c, g) + + def_API('Z3_goal_formula', AST, (_in(CONTEXT), _in(GOAL), _in(UINT))) + */ + Z3_ast Z3_API Z3_goal_formula(Z3_context c, Z3_goal g, unsigned idx); + + /** + \brief Return the number of formulas, subformulas and terms in the given goal. + + def_API('Z3_goal_num_exprs', UINT, (_in(CONTEXT), _in(GOAL))) + */ + unsigned Z3_API Z3_goal_num_exprs(Z3_context c, Z3_goal g); + + /** + \brief Return true if the goal is empty, and it is precise or the product of a under approximation. + + def_API('Z3_goal_is_decided_sat', BOOL, (_in(CONTEXT), _in(GOAL))) + */ + bool Z3_API Z3_goal_is_decided_sat(Z3_context c, Z3_goal g); + + /** + \brief Return true if the goal contains false, and it is precise or the product of an over approximation. + + def_API('Z3_goal_is_decided_unsat', BOOL, (_in(CONTEXT), _in(GOAL))) + */ + bool Z3_API Z3_goal_is_decided_unsat(Z3_context c, Z3_goal g); + + /** + \brief Copy a goal \c g from the context \c source to the context \c target. + + def_API('Z3_goal_translate', GOAL, (_in(CONTEXT), _in(GOAL), _in(CONTEXT))) + */ + Z3_goal Z3_API Z3_goal_translate(Z3_context source, Z3_goal g, Z3_context target); + + /** + \brief Convert a model of the formulas of a goal to a model of an original goal. + The model may be null, in which case the returned model is valid if the goal was + established satisfiable. + + def_API('Z3_goal_convert_model', MODEL, (_in(CONTEXT), _in(GOAL), _in(MODEL))) + */ + Z3_model Z3_API Z3_goal_convert_model(Z3_context c, Z3_goal g, Z3_model m); + + /** + \brief Convert a goal into a string. + + def_API('Z3_goal_to_string', STRING, (_in(CONTEXT), _in(GOAL))) + */ + Z3_string Z3_API Z3_goal_to_string(Z3_context c, Z3_goal g); + + /** + \brief Convert a goal into a DIMACS formatted string. + The goal must be in CNF. You can convert a goal to CNF + by applying the tseitin-cnf tactic. Bit-vectors are not automatically + converted to Booleans either, so if the caller intends to + preserve satisfiability, it should apply bit-blasting tactics. + Quantifiers and theory atoms will not be encoded. + + def_API('Z3_goal_to_dimacs_string', STRING, (_in(CONTEXT), _in(GOAL))) + */ + Z3_string Z3_API Z3_goal_to_dimacs_string(Z3_context c, Z3_goal g); + + /*@}*/ + + /** @name Tactics and Probes */ + /*@{*/ + /** + \brief Return a tactic associated with the given name. + The complete list of tactics may be obtained using the procedures #Z3_get_num_tactics and #Z3_get_tactic_name. + It may also be obtained using the command \ccode{(help-tactic)} in the SMT 2.0 front-end. + + Tactics are the basic building block for creating custom solvers for specific problem domains. + + def_API('Z3_mk_tactic', TACTIC, (_in(CONTEXT), _in(STRING))) + */ + Z3_tactic Z3_API Z3_mk_tactic(Z3_context c, Z3_string name); + + /** + \brief Increment the reference counter of the given tactic. + + def_API('Z3_tactic_inc_ref', VOID, (_in(CONTEXT), _in(TACTIC))) + */ + void Z3_API Z3_tactic_inc_ref(Z3_context c, Z3_tactic t); + + /** + \brief Decrement the reference counter of the given tactic. + + def_API('Z3_tactic_dec_ref', VOID, (_in(CONTEXT), _in(TACTIC))) + */ + void Z3_API Z3_tactic_dec_ref(Z3_context c, Z3_tactic g); + + /** + \brief Return a probe associated with the given name. + The complete list of probes may be obtained using the procedures #Z3_get_num_probes and #Z3_get_probe_name. + It may also be obtained using the command \ccode{(help-tactic)} in the SMT 2.0 front-end. + + Probes are used to inspect a goal (aka problem) and collect information that may be used to decide + which solver and/or preprocessing step will be used. + + def_API('Z3_mk_probe', PROBE, (_in(CONTEXT), _in(STRING))) + */ + Z3_probe Z3_API Z3_mk_probe(Z3_context c, Z3_string name); + + /** + \brief Increment the reference counter of the given probe. + + def_API('Z3_probe_inc_ref', VOID, (_in(CONTEXT), _in(PROBE))) + */ + void Z3_API Z3_probe_inc_ref(Z3_context c, Z3_probe p); + + /** + \brief Decrement the reference counter of the given probe. + + def_API('Z3_probe_dec_ref', VOID, (_in(CONTEXT), _in(PROBE))) + */ + void Z3_API Z3_probe_dec_ref(Z3_context c, Z3_probe p); + + /** + \brief Return a tactic that applies \c t1 to a given goal and \c t2 + to every subgoal produced by t1. + + def_API('Z3_tactic_and_then', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_and_then(Z3_context c, Z3_tactic t1, Z3_tactic t2); + + /** + \brief Return a tactic that first applies \c t1 to a given goal, + if it fails then returns the result of \c t2 applied to the given goal. + + def_API('Z3_tactic_or_else', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_or_else(Z3_context c, Z3_tactic t1, Z3_tactic t2); + + /** + \brief Return a tactic that applies the given tactics in parallel. + + def_API('Z3_tactic_par_or', TACTIC, (_in(CONTEXT), _in(UINT), _in_array(1, TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_par_or(Z3_context c, unsigned num, Z3_tactic const ts[]); + + /** + \brief Return a tactic that applies \c t1 to a given goal and then \c t2 + to every subgoal produced by t1. The subgoals are processed in parallel. + + def_API('Z3_tactic_par_and_then', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_par_and_then(Z3_context c, Z3_tactic t1, Z3_tactic t2); + + /** + \brief Return a tactic that applies \c t to a given goal for \c ms milliseconds. + If \c t does not terminate in \c ms milliseconds, then it fails. + + def_API('Z3_tactic_try_for', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(UINT))) + */ + Z3_tactic Z3_API Z3_tactic_try_for(Z3_context c, Z3_tactic t, unsigned ms); + + /** + \brief Return a tactic that applies \c t to a given goal is the probe \c p evaluates to true. + If \c p evaluates to false, then the new tactic behaves like the skip tactic. + + def_API('Z3_tactic_when', TACTIC, (_in(CONTEXT), _in(PROBE), _in(TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_when(Z3_context c, Z3_probe p, Z3_tactic t); + + /** + \brief Return a tactic that applies \c t1 to a given goal if the probe \c p evaluates to true, + and \c t2 if \c p evaluates to false. + + def_API('Z3_tactic_cond', TACTIC, (_in(CONTEXT), _in(PROBE), _in(TACTIC), _in(TACTIC))) + */ + Z3_tactic Z3_API Z3_tactic_cond(Z3_context c, Z3_probe p, Z3_tactic t1, Z3_tactic t2); + + /** + \brief Return a tactic that keeps applying \c t until the goal is not modified anymore or the maximum + number of iterations \c max is reached. + + def_API('Z3_tactic_repeat', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(UINT))) + */ + Z3_tactic Z3_API Z3_tactic_repeat(Z3_context c, Z3_tactic t, unsigned max); + + /** + \brief Return a tactic that just return the given goal. + + def_API('Z3_tactic_skip', TACTIC, (_in(CONTEXT),)) + */ + Z3_tactic Z3_API Z3_tactic_skip(Z3_context c); + + /** + \brief Return a tactic that always fails. + + def_API('Z3_tactic_fail', TACTIC, (_in(CONTEXT),)) + */ + Z3_tactic Z3_API Z3_tactic_fail(Z3_context c); + + /** + \brief Return a tactic that fails if the probe \c p evaluates to false. + + def_API('Z3_tactic_fail_if', TACTIC, (_in(CONTEXT), _in(PROBE))) + */ + Z3_tactic Z3_API Z3_tactic_fail_if(Z3_context c, Z3_probe p); + + /** + \brief Return a tactic that fails if the goal is not trivially satisfiable (i.e., empty) or + trivially unsatisfiable (i.e., contains false). + + def_API('Z3_tactic_fail_if_not_decided', TACTIC, (_in(CONTEXT),)) + */ + Z3_tactic Z3_API Z3_tactic_fail_if_not_decided(Z3_context c); + + /** + \brief Return a tactic that applies \c t using the given set of parameters. + + def_API('Z3_tactic_using_params', TACTIC, (_in(CONTEXT), _in(TACTIC), _in(PARAMS))) + */ + Z3_tactic Z3_API Z3_tactic_using_params(Z3_context c, Z3_tactic t, Z3_params p); + + /** + \brief Return a probe that always evaluates to val. + + def_API('Z3_probe_const', PROBE, (_in(CONTEXT), _in(DOUBLE))) + */ + Z3_probe Z3_API Z3_probe_const(Z3_context x, double val); + + /** + \brief Return a probe that evaluates to "true" when the value returned by \c p1 is less than the value returned by \c p2. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_lt', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_lt(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when the value returned by \c p1 is greater than the value returned by \c p2. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_gt', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_gt(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when the value returned by \c p1 is less than or equal to the value returned by \c p2. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_le', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_le(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when the value returned by \c p1 is greater than or equal to the value returned by \c p2. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_ge', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_ge(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when the value returned by \c p1 is equal to the value returned by \c p2. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_eq', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_eq(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when \c p1 and \c p2 evaluates to true. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_and', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_and(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when \c p1 or \c p2 evaluates to true. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_or', PROBE, (_in(CONTEXT), _in(PROBE), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_or(Z3_context x, Z3_probe p1, Z3_probe p2); + + /** + \brief Return a probe that evaluates to "true" when \c p does not evaluate to true. + + \remark For probes, "true" is any value different from 0.0. + + def_API('Z3_probe_not', PROBE, (_in(CONTEXT), _in(PROBE))) + */ + Z3_probe Z3_API Z3_probe_not(Z3_context x, Z3_probe p); + + /** + \brief Return the number of builtin tactics available in Z3. + + def_API('Z3_get_num_tactics', UINT, (_in(CONTEXT),)) + */ + unsigned Z3_API Z3_get_num_tactics(Z3_context c); + + /** + \brief Return the name of the idx tactic. + + \pre i < Z3_get_num_tactics(c) + + def_API('Z3_get_tactic_name', STRING, (_in(CONTEXT), _in(UINT))) + */ + Z3_string Z3_API Z3_get_tactic_name(Z3_context c, unsigned i); + + /** + \brief Return the number of builtin probes available in Z3. + + def_API('Z3_get_num_probes', UINT, (_in(CONTEXT),)) + */ + unsigned Z3_API Z3_get_num_probes(Z3_context c); + + /** + \brief Return the name of the i probe. + + \pre i < Z3_get_num_probes(c) + + def_API('Z3_get_probe_name', STRING, (_in(CONTEXT), _in(UINT))) + */ + Z3_string Z3_API Z3_get_probe_name(Z3_context c, unsigned i); + + /** + \brief Return a string containing a description of parameters accepted by the given tactic. + + def_API('Z3_tactic_get_help', STRING, (_in(CONTEXT), _in(TACTIC))) + */ + Z3_string Z3_API Z3_tactic_get_help(Z3_context c, Z3_tactic t); + + /** + \brief Return the parameter description set for the given tactic object. + + def_API('Z3_tactic_get_param_descrs', PARAM_DESCRS, (_in(CONTEXT), _in(TACTIC))) + */ + Z3_param_descrs Z3_API Z3_tactic_get_param_descrs(Z3_context c, Z3_tactic t); + + /** + \brief Return a string containing a description of the tactic with the given name. + + def_API('Z3_tactic_get_descr', STRING, (_in(CONTEXT), _in(STRING))) + */ + Z3_string Z3_API Z3_tactic_get_descr(Z3_context c, Z3_string name); + + /** + \brief Return a string containing a description of the probe with the given name. + + def_API('Z3_probe_get_descr', STRING, (_in(CONTEXT), _in(STRING))) + */ + Z3_string Z3_API Z3_probe_get_descr(Z3_context c, Z3_string name); + + /** + \brief Execute the probe over the goal. The probe always produce a double value. + "Boolean" probes return 0.0 for false, and a value different from 0.0 for true. + + def_API('Z3_probe_apply', DOUBLE, (_in(CONTEXT), _in(PROBE), _in(GOAL))) + */ + double Z3_API Z3_probe_apply(Z3_context c, Z3_probe p, Z3_goal g); + + /** + \brief Apply tactic \c t to the goal \c g. + + def_API('Z3_tactic_apply', APPLY_RESULT, (_in(CONTEXT), _in(TACTIC), _in(GOAL))) + */ + Z3_apply_result Z3_API Z3_tactic_apply(Z3_context c, Z3_tactic t, Z3_goal g); + + /** + \brief Apply tactic \c t to the goal \c g using the parameter set \c p. + + def_API('Z3_tactic_apply_ex', APPLY_RESULT, (_in(CONTEXT), _in(TACTIC), _in(GOAL), _in(PARAMS))) + */ + Z3_apply_result Z3_API Z3_tactic_apply_ex(Z3_context c, Z3_tactic t, Z3_goal g, Z3_params p); + + /** + \brief Increment the reference counter of the given \c Z3_apply_result object. + + def_API('Z3_apply_result_inc_ref', VOID, (_in(CONTEXT), _in(APPLY_RESULT))) + */ + void Z3_API Z3_apply_result_inc_ref(Z3_context c, Z3_apply_result r); + + /** + \brief Decrement the reference counter of the given \c Z3_apply_result object. + + def_API('Z3_apply_result_dec_ref', VOID, (_in(CONTEXT), _in(APPLY_RESULT))) + */ + void Z3_API Z3_apply_result_dec_ref(Z3_context c, Z3_apply_result r); + + /** + \brief Convert the \c Z3_apply_result object returned by #Z3_tactic_apply into a string. + + def_API('Z3_apply_result_to_string', STRING, (_in(CONTEXT), _in(APPLY_RESULT))) + */ + Z3_string Z3_API Z3_apply_result_to_string(Z3_context c, Z3_apply_result r); + + /** + \brief Return the number of subgoals in the \c Z3_apply_result object returned by #Z3_tactic_apply. + + def_API('Z3_apply_result_get_num_subgoals', UINT, (_in(CONTEXT), _in(APPLY_RESULT))) + */ + unsigned Z3_API Z3_apply_result_get_num_subgoals(Z3_context c, Z3_apply_result r); + + /** + \brief Return one of the subgoals in the \c Z3_apply_result object returned by #Z3_tactic_apply. + + \pre i < Z3_apply_result_get_num_subgoals(c, r) + + def_API('Z3_apply_result_get_subgoal', GOAL, (_in(CONTEXT), _in(APPLY_RESULT), _in(UINT))) + */ + Z3_goal Z3_API Z3_apply_result_get_subgoal(Z3_context c, Z3_apply_result r, unsigned i); + + /*@}*/ + + /** @name Solvers*/ + /*@{*/ + /** + \brief Create a new solver. This solver is a "combined solver" (see + combined_solver module) that internally uses a non-incremental (solver1) and an + incremental solver (solver2). This combined solver changes its behaviour based + on how it is used and how its parameters are set. + + If the solver is used in a non incremental way (i.e. no calls to + #Z3_solver_push() or #Z3_solver_pop(), and no calls to + #Z3_solver_assert() or #Z3_solver_assert_and_track() after checking + satisfiability without an intervening #Z3_solver_reset()) then solver1 + will be used. This solver will apply Z3's "default" tactic. + + The "default" tactic will attempt to probe the logic used by the + assertions and will apply a specialized tactic if one is supported. + Otherwise the general `(and-then simplify smt)` tactic will be used. + + If the solver is used in an incremental way then the combined solver + will switch to using solver2 (which behaves similarly to the general + "smt" tactic). + + Note however it is possible to set the `solver2_timeout`, + `solver2_unknown`, and `ignore_solver1` parameters of the combined + solver to change its behaviour. + + The function #Z3_solver_get_model retrieves a model if the + assertions is satisfiable (i.e., the result is \c + Z3_L_TRUE) and model construction is enabled. + The function #Z3_solver_get_model can also be used even + if the result is \c Z3_L_UNDEF, but the returned model + is not guaranteed to satisfy quantified assertions. + + \remark User must use #Z3_solver_inc_ref and #Z3_solver_dec_ref to manage solver objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_solver', SOLVER, (_in(CONTEXT),)) + */ + Z3_solver Z3_API Z3_mk_solver(Z3_context c); + + /** + \brief Create a new incremental solver. + + This is equivalent to applying the "smt" tactic. + + Unlike #Z3_mk_solver() this solver + - Does not attempt to apply any logic specific tactics. + - Does not change its behaviour based on whether it used + incrementally/non-incrementally. + + Note that these differences can result in very different performance + compared to #Z3_mk_solver(). + + The function #Z3_solver_get_model retrieves a model if the + assertions is satisfiable (i.e., the result is \c + Z3_L_TRUE) and model construction is enabled. + The function #Z3_solver_get_model can also be used even + if the result is \c Z3_L_UNDEF, but the returned model + is not guaranteed to satisfy quantified assertions. + + \remark User must use #Z3_solver_inc_ref and #Z3_solver_dec_ref to manage solver objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_simple_solver', SOLVER, (_in(CONTEXT),)) + */ + Z3_solver Z3_API Z3_mk_simple_solver(Z3_context c); + + /** + \brief Create a new solver customized for the given logic. + It behaves like #Z3_mk_solver if the logic is unknown or unsupported. + + \remark User must use #Z3_solver_inc_ref and #Z3_solver_dec_ref to manage solver objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_solver_for_logic', SOLVER, (_in(CONTEXT), _in(SYMBOL))) + */ + Z3_solver Z3_API Z3_mk_solver_for_logic(Z3_context c, Z3_symbol logic); + + /** + \brief Create a new solver that is implemented using the given tactic. + The solver supports the commands #Z3_solver_push and #Z3_solver_pop, but it + will always solve each #Z3_solver_check from scratch. + + \remark User must use #Z3_solver_inc_ref and #Z3_solver_dec_ref to manage solver objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_solver_from_tactic', SOLVER, (_in(CONTEXT), _in(TACTIC))) + */ + Z3_solver Z3_API Z3_mk_solver_from_tactic(Z3_context c, Z3_tactic t); + + /** + \brief Copy a solver \c s from the context \c source to the context \c target. + + def_API('Z3_solver_translate', SOLVER, (_in(CONTEXT), _in(SOLVER), _in(CONTEXT))) + */ + Z3_solver Z3_API Z3_solver_translate(Z3_context source, Z3_solver s, Z3_context target); + + /** + \brief Ad-hoc method for importing model conversion from solver. + + def_API('Z3_solver_import_model_converter', VOID, (_in(CONTEXT), _in(SOLVER), _in(SOLVER))) + */ + void Z3_API Z3_solver_import_model_converter(Z3_context ctx, Z3_solver src, Z3_solver dst); + + /** + \brief Return a string describing all solver available parameters. + + \sa Z3_solver_get_param_descrs + \sa Z3_solver_set_params + + def_API('Z3_solver_get_help', STRING, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_string Z3_API Z3_solver_get_help(Z3_context c, Z3_solver s); + + /** + \brief Return the parameter description set for the given solver object. + + \sa Z3_solver_get_help + \sa Z3_solver_set_params + + def_API('Z3_solver_get_param_descrs', PARAM_DESCRS, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_param_descrs Z3_API Z3_solver_get_param_descrs(Z3_context c, Z3_solver s); + + /** + \brief Set the given solver using the given parameters. + + \sa Z3_solver_get_help + \sa Z3_solver_get_param_descrs + + def_API('Z3_solver_set_params', VOID, (_in(CONTEXT), _in(SOLVER), _in(PARAMS))) + */ + void Z3_API Z3_solver_set_params(Z3_context c, Z3_solver s, Z3_params p); + + /** + \brief Increment the reference counter of the given solver. + + def_API('Z3_solver_inc_ref', VOID, (_in(CONTEXT), _in(SOLVER))) + */ + void Z3_API Z3_solver_inc_ref(Z3_context c, Z3_solver s); + + /** + \brief Decrement the reference counter of the given solver. + + def_API('Z3_solver_dec_ref', VOID, (_in(CONTEXT), _in(SOLVER))) + */ + void Z3_API Z3_solver_dec_ref(Z3_context c, Z3_solver s); + + /** + \brief Create a backtracking point. + + The solver contains a stack of assertions. + + \sa Z3_solver_get_num_scopes + \sa Z3_solver_pop + + def_API('Z3_solver_push', VOID, (_in(CONTEXT), _in(SOLVER))) + */ + void Z3_API Z3_solver_push(Z3_context c, Z3_solver s); + + /** + \brief Backtrack \c n backtracking points. + + \sa Z3_solver_get_num_scopes + \sa Z3_solver_push + + \pre n <= Z3_solver_get_num_scopes(c, s) + + def_API('Z3_solver_pop', VOID, (_in(CONTEXT), _in(SOLVER), _in(UINT))) + */ + void Z3_API Z3_solver_pop(Z3_context c, Z3_solver s, unsigned n); + + /** + \brief Remove all assertions from the solver. + + \sa Z3_solver_assert + \sa Z3_solver_assert_and_track + + def_API('Z3_solver_reset', VOID, (_in(CONTEXT), _in(SOLVER))) + */ + void Z3_API Z3_solver_reset(Z3_context c, Z3_solver s); + + /** + \brief Return the number of backtracking points. + + \sa Z3_solver_push + \sa Z3_solver_pop + + def_API('Z3_solver_get_num_scopes', UINT, (_in(CONTEXT), _in(SOLVER))) + */ + unsigned Z3_API Z3_solver_get_num_scopes(Z3_context c, Z3_solver s); + + /** + \brief Assert a constraint into the solver. + + The functions #Z3_solver_check and #Z3_solver_check_assumptions should be + used to check whether the logical context is consistent or not. + + \sa Z3_solver_assert_and_track + \sa Z3_solver_reset + + def_API('Z3_solver_assert', VOID, (_in(CONTEXT), _in(SOLVER), _in(AST))) + */ + void Z3_API Z3_solver_assert(Z3_context c, Z3_solver s, Z3_ast a); + + /** + \brief Assert a constraint \c a into the solver, and track it (in the unsat) core using + the Boolean constant \c p. + + This API is an alternative to #Z3_solver_check_assumptions for extracting unsat cores. + Both APIs can be used in the same solver. The unsat core will contain a combination + of the Boolean variables provided using Z3_solver_assert_and_track and the Boolean literals + provided using #Z3_solver_check_assumptions. + + \pre \c a must be a Boolean expression + \pre \c p must be a Boolean constant (aka variable). + + \sa Z3_solver_assert + \sa Z3_solver_reset + + def_API('Z3_solver_assert_and_track', VOID, (_in(CONTEXT), _in(SOLVER), _in(AST), _in(AST))) + */ + void Z3_API Z3_solver_assert_and_track(Z3_context c, Z3_solver s, Z3_ast a, Z3_ast p); + + /** + \brief load solver assertions from a file. + + \sa Z3_solver_from_string + \sa Z3_solver_to_string + + def_API('Z3_solver_from_file', VOID, (_in(CONTEXT), _in(SOLVER), _in(STRING))) + */ + void Z3_API Z3_solver_from_file(Z3_context c, Z3_solver s, Z3_string file_name); + + /** + \brief load solver assertions from a string. + + \sa Z3_solver_from_file + \sa Z3_solver_to_string + + def_API('Z3_solver_from_string', VOID, (_in(CONTEXT), _in(SOLVER), _in(STRING))) + */ + void Z3_API Z3_solver_from_string(Z3_context c, Z3_solver s, Z3_string file_name); + + /** + \brief Return the set of asserted formulas on the solver. + + def_API('Z3_solver_get_assertions', AST_VECTOR, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_ast_vector Z3_API Z3_solver_get_assertions(Z3_context c, Z3_solver s); + + /** + \brief Return the set of units modulo model conversion. + + def_API('Z3_solver_get_units', AST_VECTOR, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_ast_vector Z3_API Z3_solver_get_units(Z3_context c, Z3_solver s); + + + /** + \brief Return the set of non units in the solver state. + + def_API('Z3_solver_get_non_units', AST_VECTOR, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_ast_vector Z3_API Z3_solver_get_non_units(Z3_context c, Z3_solver s); + + /** + \brief Check whether the assertions in a given solver are consistent or not. + + The function #Z3_solver_get_model retrieves a model if the + assertions is satisfiable (i.e., the result is \c + Z3_L_TRUE) and model construction is enabled. + Note that if the call returns \c Z3_L_UNDEF, Z3 does not + ensure that calls to #Z3_solver_get_model succeed and any models + produced in this case are not guaranteed to satisfy the assertions. + + The function #Z3_solver_get_proof retrieves a proof if proof + generation was enabled when the context was created, and the + assertions are unsatisfiable (i.e., the result is \c Z3_L_FALSE). + + \sa Z3_solver_check_assumptions + + def_API('Z3_solver_check', INT, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_lbool Z3_API Z3_solver_check(Z3_context c, Z3_solver s); + + /** + \brief Check whether the assertions in the given solver and + optional assumptions are consistent or not. + + The function #Z3_solver_get_unsat_core retrieves the subset of the + assumptions used in the unsatisfiability proof produced by Z3. + + \sa Z3_solver_check + + def_API('Z3_solver_check_assumptions', INT, (_in(CONTEXT), _in(SOLVER), _in(UINT), _in_array(2, AST))) + */ + Z3_lbool Z3_API Z3_solver_check_assumptions(Z3_context c, Z3_solver s, + unsigned num_assumptions, Z3_ast const assumptions[]); + + /** + \brief Retrieve congruence class representatives for terms. + + The function can be used for relying on Z3 to identify equal terms under the current + set of assumptions. The array of terms and array of class identifiers should have + the same length. The class identifiers are numerals that are assigned to the same + value for their corresponding terms if the current context forces the terms to be + equal. You cannot deduce that terms corresponding to different numerals must be all different, + (especially when using non-convex theories). + All implied equalities are returned by this call. + This means that two terms map to the same class identifier if and only if + the current context implies that they are equal. + + A side-effect of the function is a satisfiability check on the assertions on the solver that is passed in. + The function return \c Z3_L_FALSE if the current assertions are not satisfiable. + + def_API('Z3_get_implied_equalities', INT, (_in(CONTEXT), _in(SOLVER), _in(UINT), _in_array(2, AST), _out_array(2, UINT))) + */ + Z3_lbool Z3_API Z3_get_implied_equalities(Z3_context c, + Z3_solver s, + unsigned num_terms, + Z3_ast const terms[], + unsigned class_ids[]); + + /** + \brief retrieve consequences from solver that determine values of the supplied function symbols. + + def_API('Z3_solver_get_consequences', INT, (_in(CONTEXT), _in(SOLVER), _in(AST_VECTOR), _in(AST_VECTOR), _in(AST_VECTOR))) + */ + + Z3_lbool Z3_API Z3_solver_get_consequences(Z3_context c, + Z3_solver s, + Z3_ast_vector assumptions, + Z3_ast_vector variables, + Z3_ast_vector consequences); + + + /** + \brief extract a next cube for a solver. The last cube is the constant \c true or \c false. + The number of (non-constant) cubes is by default 1. For the sat solver cubing is controlled + using parameters sat.lookahead.cube.cutoff and sat.lookahead.cube.fraction. + + The third argument is a vector of variables that may be used for cubing. + The contents of the vector is only used in the first call. The initial list of variables + is used in subsequent calls until it returns the unsatisfiable cube. + The vector is modified to contain a set of Autarky variables that occur in clauses that + are affected by the (last literal in the) cube. These variables could be used by a different + cuber (on a different solver object) for further recursive cubing. + + The last argument is a backtracking level. It instructs the cube process to backtrack below + the indicated level for the next cube. + + def_API('Z3_solver_cube', AST_VECTOR, (_in(CONTEXT), _in(SOLVER), _in(AST_VECTOR), _in(UINT))) + */ + + Z3_ast_vector Z3_API Z3_solver_cube(Z3_context c, Z3_solver s, Z3_ast_vector vars, unsigned backtrack_level); + + /** + \brief Retrieve the model for the last #Z3_solver_check or #Z3_solver_check_assumptions + + The error handler is invoked if a model is not available because + the commands above were not invoked for the given solver, or if the result was \c Z3_L_FALSE. + + def_API('Z3_solver_get_model', MODEL, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_model Z3_API Z3_solver_get_model(Z3_context c, Z3_solver s); + + /** + \brief Retrieve the proof for the last #Z3_solver_check or #Z3_solver_check_assumptions + + The error handler is invoked if proof generation is not enabled, + or if the commands above were not invoked for the given solver, + or if the result was different from \c Z3_L_FALSE. + + def_API('Z3_solver_get_proof', AST, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_ast Z3_API Z3_solver_get_proof(Z3_context c, Z3_solver s); + + /** + \brief Retrieve the unsat core for the last #Z3_solver_check_assumptions + The unsat core is a subset of the assumptions \c a. + + def_API('Z3_solver_get_unsat_core', AST_VECTOR, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_ast_vector Z3_API Z3_solver_get_unsat_core(Z3_context c, Z3_solver s); + + /** + \brief Return a brief justification for an "unknown" result (i.e., \c Z3_L_UNDEF) for + the commands #Z3_solver_check and #Z3_solver_check_assumptions + + def_API('Z3_solver_get_reason_unknown', STRING, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_string Z3_API Z3_solver_get_reason_unknown(Z3_context c, Z3_solver s); + + /** + \brief Return statistics for the given solver. + + \remark User must use #Z3_stats_inc_ref and #Z3_stats_dec_ref to manage Z3_stats objects. + + def_API('Z3_solver_get_statistics', STATS, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_stats Z3_API Z3_solver_get_statistics(Z3_context c, Z3_solver s); + + /** + \brief Convert a solver into a string. + + \sa Z3_solver_from_file + \sa Z3_solver_from_string + + def_API('Z3_solver_to_string', STRING, (_in(CONTEXT), _in(SOLVER))) + */ + Z3_string Z3_API Z3_solver_to_string(Z3_context c, Z3_solver s); + + /*@}*/ + + /** @name Statistics */ + /*@{*/ + + /** + \brief Convert a statistics into a string. + + def_API('Z3_stats_to_string', STRING, (_in(CONTEXT), _in(STATS))) + */ + Z3_string Z3_API Z3_stats_to_string(Z3_context c, Z3_stats s); + + /** + \brief Increment the reference counter of the given statistics object. + + def_API('Z3_stats_inc_ref', VOID, (_in(CONTEXT), _in(STATS))) + */ + void Z3_API Z3_stats_inc_ref(Z3_context c, Z3_stats s); + + /** + \brief Decrement the reference counter of the given statistics object. + + def_API('Z3_stats_dec_ref', VOID, (_in(CONTEXT), _in(STATS))) + */ + void Z3_API Z3_stats_dec_ref(Z3_context c, Z3_stats s); + + /** + \brief Return the number of statistical data in \c s. + + def_API('Z3_stats_size', UINT, (_in(CONTEXT), _in(STATS))) + */ + unsigned Z3_API Z3_stats_size(Z3_context c, Z3_stats s); + + /** + \brief Return the key (a string) for a particular statistical data. + + \pre idx < Z3_stats_size(c, s) + + def_API('Z3_stats_get_key', STRING, (_in(CONTEXT), _in(STATS), _in(UINT))) + */ + Z3_string Z3_API Z3_stats_get_key(Z3_context c, Z3_stats s, unsigned idx); + + /** + \brief Return \c true if the given statistical data is a unsigned integer. + + \pre idx < Z3_stats_size(c, s) + + def_API('Z3_stats_is_uint', BOOL, (_in(CONTEXT), _in(STATS), _in(UINT))) + */ + bool Z3_API Z3_stats_is_uint(Z3_context c, Z3_stats s, unsigned idx); + + /** + \brief Return \c true if the given statistical data is a double. + + \pre idx < Z3_stats_size(c, s) + + def_API('Z3_stats_is_double', BOOL, (_in(CONTEXT), _in(STATS), _in(UINT))) + */ + bool Z3_API Z3_stats_is_double(Z3_context c, Z3_stats s, unsigned idx); + + /** + \brief Return the unsigned value of the given statistical data. + + \pre idx < Z3_stats_size(c, s) && Z3_stats_is_uint(c, s) + + def_API('Z3_stats_get_uint_value', UINT, (_in(CONTEXT), _in(STATS), _in(UINT))) + */ + unsigned Z3_API Z3_stats_get_uint_value(Z3_context c, Z3_stats s, unsigned idx); + + /** + \brief Return the double value of the given statistical data. + + \pre idx < Z3_stats_size(c, s) && Z3_stats_is_double(c, s) + + def_API('Z3_stats_get_double_value', DOUBLE, (_in(CONTEXT), _in(STATS), _in(UINT))) + */ + double Z3_API Z3_stats_get_double_value(Z3_context c, Z3_stats s, unsigned idx); + + /** + \brief Return the estimated allocated memory in bytes. + + def_API('Z3_get_estimated_alloc_size', UINT64, ()) + */ + uint64_t Z3_API Z3_get_estimated_alloc_size(void); + + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +/*@}*/ + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_ast_containers.h b/tool_bin/lib/linux/z3/include/z3_ast_containers.h new file mode 100644 index 0000000..c8438a2 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_ast_containers.h @@ -0,0 +1,200 @@ +/*++ +Copyright (c) 2015 Microsoft Corporation + +Module Name: + + z3_ast_containers.h + +Abstract: + + AST Containers + +Author: + + Christoph M. Wintersteiger (cwinter) 2015-12-03 + +Notes: + +--*/ +#ifndef Z3_AST_CONTAINERS_H_ +#define Z3_AST_CONTAINERS_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name AST vectors */ + /*@{*/ + /** + \brief Return an empty AST vector. + + \remark Reference counting must be used to manage AST vectors, even when the Z3_context was + created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_ast_vector', AST_VECTOR, (_in(CONTEXT),)) + */ + Z3_ast_vector Z3_API Z3_mk_ast_vector(Z3_context c); + + /** + \brief Increment the reference counter of the given AST vector. + + def_API('Z3_ast_vector_inc_ref', VOID, (_in(CONTEXT), _in(AST_VECTOR))) + */ + void Z3_API Z3_ast_vector_inc_ref(Z3_context c, Z3_ast_vector v); + + /** + \brief Decrement the reference counter of the given AST vector. + + def_API('Z3_ast_vector_dec_ref', VOID, (_in(CONTEXT), _in(AST_VECTOR))) + */ + void Z3_API Z3_ast_vector_dec_ref(Z3_context c, Z3_ast_vector v); + + /** + \brief Return the size of the given AST vector. + + def_API('Z3_ast_vector_size', UINT, (_in(CONTEXT), _in(AST_VECTOR))) + */ + unsigned Z3_API Z3_ast_vector_size(Z3_context c, Z3_ast_vector v); + + /** + \brief Return the AST at position \c i in the AST vector \c v. + + \pre i < Z3_ast_vector_size(c, v) + + def_API('Z3_ast_vector_get', AST, (_in(CONTEXT), _in(AST_VECTOR), _in(UINT))) + */ + Z3_ast Z3_API Z3_ast_vector_get(Z3_context c, Z3_ast_vector v, unsigned i); + + /** + \brief Update position \c i of the AST vector \c v with the AST \c a. + + \pre i < Z3_ast_vector_size(c, v) + + def_API('Z3_ast_vector_set', VOID, (_in(CONTEXT), _in(AST_VECTOR), _in(UINT), _in(AST))) + */ + void Z3_API Z3_ast_vector_set(Z3_context c, Z3_ast_vector v, unsigned i, Z3_ast a); + + /** + \brief Resize the AST vector \c v. + + def_API('Z3_ast_vector_resize', VOID, (_in(CONTEXT), _in(AST_VECTOR), _in(UINT))) + */ + void Z3_API Z3_ast_vector_resize(Z3_context c, Z3_ast_vector v, unsigned n); + + /** + \brief Add the AST \c a in the end of the AST vector \c v. The size of \c v is increased by one. + + def_API('Z3_ast_vector_push', VOID, (_in(CONTEXT), _in(AST_VECTOR), _in(AST))) + */ + void Z3_API Z3_ast_vector_push(Z3_context c, Z3_ast_vector v, Z3_ast a); + + /** + \brief Translate the AST vector \c v from context \c s into an AST vector in context \c t. + + def_API('Z3_ast_vector_translate', AST_VECTOR, (_in(CONTEXT), _in(AST_VECTOR), _in(CONTEXT))) + */ + Z3_ast_vector Z3_API Z3_ast_vector_translate(Z3_context s, Z3_ast_vector v, Z3_context t); + + /** + \brief Convert AST vector into a string. + + def_API('Z3_ast_vector_to_string', STRING, (_in(CONTEXT), _in(AST_VECTOR))) + */ + Z3_string Z3_API Z3_ast_vector_to_string(Z3_context c, Z3_ast_vector v); + + /*@}*/ + + /** @name AST maps */ + /*@{*/ + /** + \brief Return an empty mapping from AST to AST + + \remark Reference counting must be used to manage AST maps, even when the Z3_context was + created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_ast_map', AST_MAP, (_in(CONTEXT),) ) + */ + Z3_ast_map Z3_API Z3_mk_ast_map(Z3_context c); + + /** + \brief Increment the reference counter of the given AST map. + + def_API('Z3_ast_map_inc_ref', VOID, (_in(CONTEXT), _in(AST_MAP))) + */ + void Z3_API Z3_ast_map_inc_ref(Z3_context c, Z3_ast_map m); + + /** + \brief Decrement the reference counter of the given AST map. + + def_API('Z3_ast_map_dec_ref', VOID, (_in(CONTEXT), _in(AST_MAP))) + */ + void Z3_API Z3_ast_map_dec_ref(Z3_context c, Z3_ast_map m); + + /** + \brief Return true if the map \c m contains the AST key \c k. + + def_API('Z3_ast_map_contains', BOOL, (_in(CONTEXT), _in(AST_MAP), _in(AST))) + */ + bool Z3_API Z3_ast_map_contains(Z3_context c, Z3_ast_map m, Z3_ast k); + + /** + \brief Return the value associated with the key \c k. + + The procedure invokes the error handler if \c k is not in the map. + + def_API('Z3_ast_map_find', AST, (_in(CONTEXT), _in(AST_MAP), _in(AST))) + */ + Z3_ast Z3_API Z3_ast_map_find(Z3_context c, Z3_ast_map m, Z3_ast k); + + /** + \brief Store/Replace a new key, value pair in the given map. + + def_API('Z3_ast_map_insert', VOID, (_in(CONTEXT), _in(AST_MAP), _in(AST), _in(AST))) + */ + void Z3_API Z3_ast_map_insert(Z3_context c, Z3_ast_map m, Z3_ast k, Z3_ast v); + + /** + \brief Erase a key from the map. + + def_API('Z3_ast_map_erase', VOID, (_in(CONTEXT), _in(AST_MAP), _in(AST))) + */ + void Z3_API Z3_ast_map_erase(Z3_context c, Z3_ast_map m, Z3_ast k); + + /** + \brief Remove all keys from the given map. + + def_API('Z3_ast_map_reset', VOID, (_in(CONTEXT), _in(AST_MAP))) + */ + void Z3_API Z3_ast_map_reset(Z3_context c, Z3_ast_map m); + + /** + \brief Return the size of the given map. + + def_API('Z3_ast_map_size', UINT, (_in(CONTEXT), _in(AST_MAP))) + */ + unsigned Z3_API Z3_ast_map_size(Z3_context c, Z3_ast_map m); + + /** + \brief Return the keys stored in the given map. + + def_API('Z3_ast_map_keys', AST_VECTOR, (_in(CONTEXT), _in(AST_MAP))) + */ + Z3_ast_vector Z3_API Z3_ast_map_keys(Z3_context c, Z3_ast_map m); + + /** + \brief Convert the given map into a string. + + def_API('Z3_ast_map_to_string', STRING, (_in(CONTEXT), _in(AST_MAP))) + */ + Z3_string Z3_API Z3_ast_map_to_string(Z3_context c, Z3_ast_map m); + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_fixedpoint.h b/tool_bin/lib/linux/z3/include/z3_fixedpoint.h new file mode 100644 index 0000000..54a42e9 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_fixedpoint.h @@ -0,0 +1,407 @@ +/*++ +Copyright (c) 2015 Microsoft Corporation + +Module Name: + + z3_fixedpoint.h + +Abstract: + + Fixedpoint API + +Author: + + Christoph M. Wintersteiger (cwinter) 2015-12-03 + +Notes: + +--*/ +#ifndef Z3_FIXEDPOINT_H_ +#define Z3_FIXEDPOINT_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Fixedpoint facilities */ + /*@{*/ + /** + \brief Create a new fixedpoint context. + + \remark User must use #Z3_fixedpoint_inc_ref and #Z3_fixedpoint_dec_ref to manage fixedpoint objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_fixedpoint', FIXEDPOINT, (_in(CONTEXT), )) + */ + Z3_fixedpoint Z3_API Z3_mk_fixedpoint(Z3_context c); + + /** + \brief Increment the reference counter of the given fixedpoint context + + def_API('Z3_fixedpoint_inc_ref', VOID, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + void Z3_API Z3_fixedpoint_inc_ref(Z3_context c, Z3_fixedpoint d); + + /** + \brief Decrement the reference counter of the given fixedpoint context. + + def_API('Z3_fixedpoint_dec_ref', VOID, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + void Z3_API Z3_fixedpoint_dec_ref(Z3_context c, Z3_fixedpoint d); + + /** + \brief Add a universal Horn clause as a named rule. + The \c horn_rule should be of the form: + + \code + horn_rule ::= (forall (bound-vars) horn_rule) + | (=> atoms horn_rule) + | atom + \endcode + + def_API('Z3_fixedpoint_add_rule', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(AST), _in(SYMBOL))) + */ + void Z3_API Z3_fixedpoint_add_rule(Z3_context c, Z3_fixedpoint d, Z3_ast rule, Z3_symbol name); + + /** + \brief Add a Database fact. + + \param c - context + \param d - fixed point context + \param r - relation signature for the row. + \param num_args - number of columns for the given row. + \param args - array of the row elements. + + The number of arguments \c num_args should be equal to the number + of sorts in the domain of \c r. Each sort in the domain should be an integral + (bit-vector, Boolean or or finite domain sort). + + The call has the same effect as adding a rule where \c r is applied to the arguments. + + def_API('Z3_fixedpoint_add_fact', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL), _in(UINT), _in_array(3, UINT))) + */ + void Z3_API Z3_fixedpoint_add_fact(Z3_context c, Z3_fixedpoint d, + Z3_func_decl r, + unsigned num_args, unsigned args[]); + + /** + \brief Assert a constraint to the fixedpoint context. + + The constraints are used as background axioms when the fixedpoint engine uses the PDR mode. + They are ignored for standard Datalog mode. + + def_API('Z3_fixedpoint_assert', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(AST))) + */ + void Z3_API Z3_fixedpoint_assert(Z3_context c, Z3_fixedpoint d, Z3_ast axiom); + + /** + \brief Pose a query against the asserted rules. + + \code + query ::= (exists (bound-vars) query) + | literals + \endcode + + query returns + - \c Z3_L_FALSE if the query is unsatisfiable. + - \c Z3_L_TRUE if the query is satisfiable. Obtain the answer by calling #Z3_fixedpoint_get_answer. + - \c Z3_L_UNDEF if the query was interrupted, timed out or otherwise failed. + + def_API('Z3_fixedpoint_query', INT, (_in(CONTEXT), _in(FIXEDPOINT), _in(AST))) + */ + Z3_lbool Z3_API Z3_fixedpoint_query(Z3_context c, Z3_fixedpoint d, Z3_ast query); + + /** + \brief Pose multiple queries against the asserted rules. + + The queries are encoded as relations (function declarations). + + query returns + - \c Z3_L_FALSE if the query is unsatisfiable. + - \c Z3_L_TRUE if the query is satisfiable. Obtain the answer by calling #Z3_fixedpoint_get_answer. + - \c Z3_L_UNDEF if the query was interrupted, timed out or otherwise failed. + + def_API('Z3_fixedpoint_query_relations', INT, (_in(CONTEXT), _in(FIXEDPOINT), _in(UINT), _in_array(2, FUNC_DECL))) + */ + Z3_lbool Z3_API Z3_fixedpoint_query_relations( + Z3_context c, Z3_fixedpoint d, + unsigned num_relations, Z3_func_decl const relations[]); + + /** + \brief Retrieve a formula that encodes satisfying answers to the query. + + + When used in Datalog mode, the returned answer is a disjunction of conjuncts. + Each conjunct encodes values of the bound variables of the query that are satisfied. + In PDR mode, the returned answer is a single conjunction. + + When used in Datalog mode the previous call to #Z3_fixedpoint_query must have returned \c Z3_L_TRUE. + When used with the PDR engine, the previous call must have been either \c Z3_L_TRUE or \c Z3_L_FALSE. + + def_API('Z3_fixedpoint_get_answer', AST, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_ast Z3_API Z3_fixedpoint_get_answer(Z3_context c, Z3_fixedpoint d); + + /** + \brief Retrieve a string that describes the last status returned by #Z3_fixedpoint_query. + + Use this method when #Z3_fixedpoint_query returns \c Z3_L_UNDEF. + + def_API('Z3_fixedpoint_get_reason_unknown', STRING, (_in(CONTEXT), _in(FIXEDPOINT) )) + */ + Z3_string Z3_API Z3_fixedpoint_get_reason_unknown(Z3_context c, Z3_fixedpoint d); + + /** + \brief Update a named rule. + A rule with the same name must have been previously created. + + def_API('Z3_fixedpoint_update_rule', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(AST), _in(SYMBOL))) + */ + void Z3_API Z3_fixedpoint_update_rule(Z3_context c, Z3_fixedpoint d, Z3_ast a, Z3_symbol name); + + /** + \brief Query the PDR engine for the maximal levels properties are known about predicate. + + This call retrieves the maximal number of relevant unfoldings + of \c pred with respect to the current exploration state. + Note: this functionality is PDR specific. + + def_API('Z3_fixedpoint_get_num_levels', UINT, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL))) + */ + unsigned Z3_API Z3_fixedpoint_get_num_levels(Z3_context c, Z3_fixedpoint d, Z3_func_decl pred); + + /** + Retrieve the current cover of \c pred up to \c level unfoldings. + Return just the delta that is known at \c level. To + obtain the full set of properties of \c pred one should query + at \c level+1 , \c level+2 etc, and include \c level=-1. + + Note: this functionality is PDR specific. + + def_API('Z3_fixedpoint_get_cover_delta', AST, (_in(CONTEXT), _in(FIXEDPOINT), _in(INT), _in(FUNC_DECL))) + */ + Z3_ast Z3_API Z3_fixedpoint_get_cover_delta(Z3_context c, Z3_fixedpoint d, int level, Z3_func_decl pred); + + /** + \brief Add property about the predicate \c pred. + Add a property of predicate \c pred at \c level. + It gets pushed forward when possible. + + Note: level = -1 is treated as the fixedpoint. So passing -1 for the \c level + means that the property is true of the fixed-point unfolding with respect to \c pred. + + Note: this functionality is PDR specific. + + def_API('Z3_fixedpoint_add_cover', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(INT), _in(FUNC_DECL), _in(AST))) + */ + void Z3_API Z3_fixedpoint_add_cover(Z3_context c, Z3_fixedpoint d, int level, Z3_func_decl pred, Z3_ast property); + + /** + \brief Retrieve statistics information from the last call to #Z3_fixedpoint_query. + + def_API('Z3_fixedpoint_get_statistics', STATS, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_stats Z3_API Z3_fixedpoint_get_statistics(Z3_context c, Z3_fixedpoint d); + + /** + \brief Register relation as Fixedpoint defined. + Fixedpoint defined relations have least-fixedpoint semantics. + For example, the relation is empty if it does not occur + in a head or a fact. + + def_API('Z3_fixedpoint_register_relation', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL))) + */ + void Z3_API Z3_fixedpoint_register_relation(Z3_context c, Z3_fixedpoint d, Z3_func_decl f); + + /** + \brief Configure the predicate representation. + + It sets the predicate to use a set of domains given by the list of symbols. + The domains given by the list of symbols must belong to a set + of built-in domains. + + def_API('Z3_fixedpoint_set_predicate_representation', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL), _in(UINT), _in_array(3, SYMBOL))) + */ + void Z3_API Z3_fixedpoint_set_predicate_representation( + Z3_context c, + Z3_fixedpoint d, + Z3_func_decl f, + unsigned num_relations, + Z3_symbol const relation_kinds[]); + + /** + \brief Retrieve set of rules from fixedpoint context. + + def_API('Z3_fixedpoint_get_rules', AST_VECTOR, (_in(CONTEXT),_in(FIXEDPOINT))) + */ + Z3_ast_vector Z3_API Z3_fixedpoint_get_rules( + Z3_context c, + Z3_fixedpoint f); + + /** + \brief Retrieve set of background assertions from fixedpoint context. + + def_API('Z3_fixedpoint_get_assertions', AST_VECTOR, (_in(CONTEXT),_in(FIXEDPOINT))) + */ + Z3_ast_vector Z3_API Z3_fixedpoint_get_assertions( + Z3_context c, + Z3_fixedpoint f); + + /** + \brief Set parameters on fixedpoint context. + + \sa Z3_fixedpoint_get_help + \sa Z3_fixedpoint_get_param_descrs + + def_API('Z3_fixedpoint_set_params', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(PARAMS))) + */ + void Z3_API Z3_fixedpoint_set_params(Z3_context c, Z3_fixedpoint f, Z3_params p); + + /** + \brief Return a string describing all fixedpoint available parameters. + + \sa Z3_fixedpoint_get_param_descrs + \sa Z3_fixedpoint_set_params + + def_API('Z3_fixedpoint_get_help', STRING, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_string Z3_API Z3_fixedpoint_get_help(Z3_context c, Z3_fixedpoint f); + + /** + \brief Return the parameter description set for the given fixedpoint object. + + \sa Z3_fixedpoint_get_help + \sa Z3_fixedpoint_set_params + + def_API('Z3_fixedpoint_get_param_descrs', PARAM_DESCRS, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_param_descrs Z3_API Z3_fixedpoint_get_param_descrs(Z3_context c, Z3_fixedpoint f); + + /** + \brief Print the current rules and background axioms as a string. + \param c - context. + \param f - fixedpoint context. + \param num_queries - number of additional queries to print. + \param queries - additional queries. + + \sa Z3_fixedpoint_from_file + \sa Z3_fixedpoint_from_string + + def_API('Z3_fixedpoint_to_string', STRING, (_in(CONTEXT), _in(FIXEDPOINT), _in(UINT), _in_array(2, AST))) + */ + Z3_string Z3_API Z3_fixedpoint_to_string( + Z3_context c, + Z3_fixedpoint f, + unsigned num_queries, + Z3_ast queries[]); + + /** + \brief Parse an SMT-LIB2 string with fixedpoint rules. + Add the rules to the current fixedpoint context. + Return the set of queries in the string. + + \param c - context. + \param f - fixedpoint context. + \param s - string containing SMT2 specification. + + \sa Z3_fixedpoint_from_file + \sa Z3_fixedpoint_to_string + + def_API('Z3_fixedpoint_from_string', AST_VECTOR, (_in(CONTEXT), _in(FIXEDPOINT), _in(STRING))) + */ + Z3_ast_vector Z3_API Z3_fixedpoint_from_string(Z3_context c, + Z3_fixedpoint f, + Z3_string s); + + /** + \brief Parse an SMT-LIB2 file with fixedpoint rules. + Add the rules to the current fixedpoint context. + Return the set of queries in the file. + + \param c - context. + \param f - fixedpoint context. + \param s - path to file containing SMT2 specification. + + \sa Z3_fixedpoint_from_string + \sa Z3_fixedpoint_to_string + + def_API('Z3_fixedpoint_from_file', AST_VECTOR, (_in(CONTEXT), _in(FIXEDPOINT), _in(STRING))) + */ + Z3_ast_vector Z3_API Z3_fixedpoint_from_file(Z3_context c, + Z3_fixedpoint f, + Z3_string s); + + /** + \brief Create a backtracking point. + + The fixedpoint solver contains a set of rules, added facts and assertions. + The set of rules, facts and assertions are restored upon calling #Z3_fixedpoint_pop. + + \sa Z3_fixedpoint_pop + + def_API('Z3_fixedpoint_push', VOID, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + void Z3_API Z3_fixedpoint_push(Z3_context c, Z3_fixedpoint d); + + /** + \brief Backtrack one backtracking point. + + \sa Z3_fixedpoint_push + + \pre The number of calls to pop cannot exceed calls to push. + + def_API('Z3_fixedpoint_pop', VOID, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + void Z3_API Z3_fixedpoint_pop(Z3_context c, Z3_fixedpoint d); + + /** \brief The following utilities allows adding user-defined domains. */ + + typedef void Z3_fixedpoint_reduce_assign_callback_fptr( + void*, Z3_func_decl, + unsigned, Z3_ast const [], + unsigned, Z3_ast const []); + + typedef void Z3_fixedpoint_reduce_app_callback_fptr( + void*, Z3_func_decl, + unsigned, Z3_ast const [], + Z3_ast*); + + + /** \brief Initialize the context with a user-defined state. */ + void Z3_API Z3_fixedpoint_init(Z3_context c, Z3_fixedpoint d, void* state); + + /** + \brief Register a callback to destructive updates. + + Registers are identified with terms encoded as fresh constants, + */ + void Z3_API Z3_fixedpoint_set_reduce_assign_callback( + Z3_context c ,Z3_fixedpoint d, Z3_fixedpoint_reduce_assign_callback_fptr cb); + + /** \brief Register a callback for building terms based on the relational operators. */ + void Z3_API Z3_fixedpoint_set_reduce_app_callback( + Z3_context c, Z3_fixedpoint d, Z3_fixedpoint_reduce_app_callback_fptr cb); + + typedef void (*Z3_fixedpoint_new_lemma_eh)(void *state, Z3_ast lemma, unsigned level); + typedef void (*Z3_fixedpoint_predecessor_eh)(void *state); + typedef void (*Z3_fixedpoint_unfold_eh)(void *state); + + /** \brief set export callback for lemmas */ + void Z3_API Z3_fixedpoint_add_callback(Z3_context ctx, Z3_fixedpoint f, void *state, + Z3_fixedpoint_new_lemma_eh new_lemma_eh, + Z3_fixedpoint_predecessor_eh predecessor_eh, + Z3_fixedpoint_unfold_eh unfold_eh); + + void Z3_API Z3_fixedpoint_add_constraint (Z3_context c, Z3_fixedpoint d, Z3_ast e, unsigned lvl); + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_fpa.h b/tool_bin/lib/linux/z3/include/z3_fpa.h new file mode 100644 index 0000000..1eaa1f6 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_fpa.h @@ -0,0 +1,1047 @@ +/*++ +Copyright (c) 2013 Microsoft Corporation + +Module Name: + + z3_fpa.h + +Abstract: + + Additional APIs for floating-point arithmetic (FP). + +Author: + + Christoph M. Wintersteiger (cwinter) 2013-06-05 + +Notes: + +--*/ +#ifndef Z3_FPA_H_ +#define Z3_FPA_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Floating-Point Arithmetic */ + /*@{*/ + /** + \brief Create the RoundingMode sort. + + \param c logical context + + def_API('Z3_mk_fpa_rounding_mode_sort', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_rounding_mode_sort(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_round_nearest_ties_to_even', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_round_nearest_ties_to_even(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_rne', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_rne(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_round_nearest_ties_to_away', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_round_nearest_ties_to_away(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_rna', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_rna(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_round_toward_positive', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_round_toward_positive(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_rtp', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_rtp(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_round_toward_negative', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_round_toward_negative(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_rtn', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_rtn(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardZero rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_round_toward_zero', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_round_toward_zero(Z3_context c); + + /** + \brief Create a numeral of RoundingMode sort which represents the TowardZero rounding mode. + + \param c logical context + + def_API('Z3_mk_fpa_rtz', AST, (_in(CONTEXT),)) + */ + Z3_ast Z3_API Z3_mk_fpa_rtz(Z3_context c); + + /** + \brief Create a FloatingPoint sort. + + \param c logical context + \param ebits number of exponent bits + \param sbits number of significand bits + + \remark \c ebits must be larger than 1 and \c sbits must be larger than 2. + + def_API('Z3_mk_fpa_sort', SORT, (_in(CONTEXT), _in(UINT), _in(UINT))) + */ + Z3_sort Z3_API Z3_mk_fpa_sort(Z3_context c, unsigned ebits, unsigned sbits); + + /** + \brief Create the half-precision (16-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_half', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_half(Z3_context c); + + /** + \brief Create the half-precision (16-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_16', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_16(Z3_context c); + + /** + \brief Create the single-precision (32-bit) FloatingPoint sort. + + \param c logical context. + + def_API('Z3_mk_fpa_sort_single', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_single(Z3_context c); + + /** + \brief Create the single-precision (32-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_32', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_32(Z3_context c); + + /** + \brief Create the double-precision (64-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_double', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_double(Z3_context c); + + /** + \brief Create the double-precision (64-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_64', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_64(Z3_context c); + + /** + \brief Create the quadruple-precision (128-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_quadruple', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_quadruple(Z3_context c); + + /** + \brief Create the quadruple-precision (128-bit) FloatingPoint sort. + + \param c logical context + + def_API('Z3_mk_fpa_sort_128', SORT, (_in(CONTEXT),)) + */ + Z3_sort Z3_API Z3_mk_fpa_sort_128(Z3_context c); + + /** + \brief Create a floating-point NaN of sort \c s. + + \param c logical context + \param s target sort + + def_API('Z3_mk_fpa_nan', AST, (_in(CONTEXT),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_nan(Z3_context c, Z3_sort s); + + /** + \brief Create a floating-point infinity of sort \c s. + + \param c logical context + \param s target sort + \param negative indicates whether the result should be negative + + When \c negative is \c true, -oo will be generated instead of +oo. + + def_API('Z3_mk_fpa_inf', AST, (_in(CONTEXT),_in(SORT),_in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_fpa_inf(Z3_context c, Z3_sort s, bool negative); + + /** + \brief Create a floating-point zero of sort \c s. + + \param c logical context + \param s target sort + \param negative indicates whether the result should be negative + + When \c negative is \c true, -zero will be generated instead of +zero. + + def_API('Z3_mk_fpa_zero', AST, (_in(CONTEXT),_in(SORT),_in(BOOL))) + */ + Z3_ast Z3_API Z3_mk_fpa_zero(Z3_context c, Z3_sort s, bool negative); + + /** + \brief Create an expression of FloatingPoint sort from three bit-vector expressions. + + This is the operator named `fp' in the SMT FP theory definition. + Note that \c sgn is required to be a bit-vector of size 1. Significand and exponent + are required to be longer than 1 and 2 respectively. The FloatingPoint sort + of the resulting expression is automatically determined from the bit-vector sizes + of the arguments. The exponent is assumed to be in IEEE-754 biased representation. + + \param c logical context + \param sgn sign + \param exp exponent + \param sig significand + + def_API('Z3_mk_fpa_fp', AST, (_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_fp(Z3_context c, Z3_ast sgn, Z3_ast exp, Z3_ast sig); + + /** + \brief Create a numeral of FloatingPoint sort from a float. + + This function is used to create numerals that fit in a float value. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \param c logical context + \param v value + \param ty sort + + \c ty must be a FloatingPoint sort + + \sa Z3_mk_numeral + + def_API('Z3_mk_fpa_numeral_float', AST, (_in(CONTEXT), _in(FLOAT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_numeral_float(Z3_context c, float v, Z3_sort ty); + + /** + \brief Create a numeral of FloatingPoint sort from a double. + + This function is used to create numerals that fit in a double value. + It is slightly faster than #Z3_mk_numeral since it is not necessary to parse a string. + + \param c logical context + \param v value + \param ty sort + + \c ty must be a FloatingPoint sort + + \sa Z3_mk_numeral + + def_API('Z3_mk_fpa_numeral_double', AST, (_in(CONTEXT), _in(DOUBLE), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_numeral_double(Z3_context c, double v, Z3_sort ty); + + /** + \brief Create a numeral of FloatingPoint sort from a signed integer. + + \param c logical context + \param v value + \param ty result sort + + \c ty must be a FloatingPoint sort + + \sa Z3_mk_numeral + + def_API('Z3_mk_fpa_numeral_int', AST, (_in(CONTEXT), _in(INT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_numeral_int(Z3_context c, signed v, Z3_sort ty); + + /** + \brief Create a numeral of FloatingPoint sort from a sign bit and two integers. + + \param c logical context + \param sgn sign bit (true == negative) + \param sig significand + \param exp exponent + \param ty result sort + + \c ty must be a FloatingPoint sort + + \sa Z3_mk_numeral + + def_API('Z3_mk_fpa_numeral_int_uint', AST, (_in(CONTEXT), _in(BOOL), _in(INT), _in(UINT), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_numeral_int_uint(Z3_context c, bool sgn, signed exp, unsigned sig, Z3_sort ty); + + /** + \brief Create a numeral of FloatingPoint sort from a sign bit and two 64-bit integers. + + \param c logical context + \param sgn sign bit (true == negative) + \param sig significand + \param exp exponent + \param ty result sort + + \c ty must be a FloatingPoint sort + + \sa Z3_mk_numeral + + def_API('Z3_mk_fpa_numeral_int64_uint64', AST, (_in(CONTEXT), _in(BOOL), _in(INT64), _in(UINT64), _in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_numeral_int64_uint64(Z3_context c, bool sgn, int64_t exp, uint64_t sig, Z3_sort ty); + + /** + \brief Floating-point absolute value + + \param c logical context + \param t term of FloatingPoint sort + + def_API('Z3_mk_fpa_abs', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_abs(Z3_context c, Z3_ast t); + + /** + \brief Floating-point negation + + \param c logical context + \param t term of FloatingPoint sort + + def_API('Z3_mk_fpa_neg', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_neg(Z3_context c, Z3_ast t); + + /** + \brief Floating-point addition + + \param c logical context + \param rm term of RoundingMode sort + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c rm must be of RoundingMode sort, \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_add', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_add(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point subtraction + + \param c logical context + \param rm term of RoundingMode sort + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c rm must be of RoundingMode sort, \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_sub', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_sub(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point multiplication + + \param c logical context + \param rm term of RoundingMode sort + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c rm must be of RoundingMode sort, \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_mul', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_mul(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point division + + \param c logical context + \param rm term of RoundingMode sort + \param t1 term of FloatingPoint sort. + \param t2 term of FloatingPoint sort + + The nodes \c rm must be of RoundingMode sort, \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_div', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_div(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point fused multiply-add. + + \param c logical context + \param rm term of RoundingMode sort + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + \param t3 term of FloatingPoint sort + + The result is \ccode{round((t1 * t2) + t3)}. + + \c rm must be of RoundingMode sort, \c t1, \c t2, and \c t3 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_fma', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_fma(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2, Z3_ast t3); + + /** + \brief Floating-point square root + + \param c logical context + \param rm term of RoundingMode sort + \param t term of FloatingPoint sort + + \c rm must be of RoundingMode sort, \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_sqrt', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_sqrt(Z3_context c, Z3_ast rm, Z3_ast t); + + /** + \brief Floating-point remainder + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_rem', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_rem(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point roundToIntegral. Rounds a floating-point number to + the closest integer, again represented as a floating-point number. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of FloatingPoint sort + + \c t must be of FloatingPoint sort. + + def_API('Z3_mk_fpa_round_to_integral', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_round_to_integral(Z3_context c, Z3_ast rm, Z3_ast t); + + /** + \brief Minimum of floating-point numbers. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1, \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_min', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_min(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Maximum of floating-point numbers. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1, \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_max', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_max(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point less than or equal. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_leq', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_leq(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point less than. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_lt', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_lt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point greater than or equal. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_geq', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_geq(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point greater than. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_gt', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_gt(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Floating-point equality. + + \param c logical context + \param t1 term of FloatingPoint sort + \param t2 term of FloatingPoint sort + + Note that this is IEEE 754 equality (as opposed to SMT-LIB \ccode{=}). + + \c t1 and \c t2 must have the same FloatingPoint sort. + + def_API('Z3_mk_fpa_eq', AST, (_in(CONTEXT),_in(AST),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_eq(Z3_context c, Z3_ast t1, Z3_ast t2); + + /** + \brief Predicate indicating whether \c t is a normal floating-point number. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_normal', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_normal(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a subnormal floating-point number. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_subnormal', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_subnormal(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a floating-point number with zero value, i.e., +zero or -zero. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_zero', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_zero(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a floating-point number representing +oo or -oo. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_infinite', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_infinite(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a NaN. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_nan', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_nan(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a negative floating-point number. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_negative', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_negative(Z3_context c, Z3_ast t); + + /** + \brief Predicate indicating whether \c t is a positive floating-point number. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. + + def_API('Z3_mk_fpa_is_positive', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_is_positive(Z3_context c, Z3_ast t); + + /** + \brief Conversion of a single IEEE 754-2008 bit-vector into a floating-point number. + + Produces a term that represents the conversion of a bit-vector term \c bv to a + floating-point term of sort \c s. + + \param c logical context + \param bv a bit-vector term + \param s floating-point sort + + \c s must be a FloatingPoint sort, \c t must be of bit-vector sort, and the bit-vector + size of \c bv must be equal to \ccode{ebits+sbits} of \c s. The format of the bit-vector is + as defined by the IEEE 754-2008 interchange format. + + def_API('Z3_mk_fpa_to_fp_bv', AST, (_in(CONTEXT),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_bv(Z3_context c, Z3_ast bv, Z3_sort s); + + /** + \brief Conversion of a FloatingPoint term into another term of different FloatingPoint sort. + + Produces a term that represents the conversion of a floating-point term \c t to a + floating-point term of sort \c s. If necessary, the result will be rounded according + to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of FloatingPoint sort + \param s floating-point sort + + \c s must be a FloatingPoint sort, \c rm must be of RoundingMode sort, \c t must be of floating-point sort. + + def_API('Z3_mk_fpa_to_fp_float', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_float(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s); + + /** + \brief Conversion of a term of real sort into a term of FloatingPoint sort. + + Produces a term that represents the conversion of term \c t of real sort into a + floating-point term of sort \c s. If necessary, the result will be rounded according + to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of Real sort + \param s floating-point sort + + \c s must be a FloatingPoint sort, \c rm must be of RoundingMode sort, \c t must be of real sort. + + def_API('Z3_mk_fpa_to_fp_real', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_real(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s); + + /** + \brief Conversion of a 2's complement signed bit-vector term into a term of FloatingPoint sort. + + Produces a term that represents the conversion of the bit-vector term \c t into a + floating-point term of sort \c s. The bit-vector \c t is taken to be in signed + 2's complement format. If necessary, the result will be rounded according + to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of bit-vector sort + \param s floating-point sort + + \c s must be a FloatingPoint sort, \c rm must be of RoundingMode sort, \c t must be of bit-vector sort. + + def_API('Z3_mk_fpa_to_fp_signed', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_signed(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s); + + /** + \brief Conversion of a 2's complement unsigned bit-vector term into a term of FloatingPoint sort. + + Produces a term that represents the conversion of the bit-vector term \c t into a + floating-point term of sort \c s. The bit-vector \c t is taken to be in unsigned + 2's complement format. If necessary, the result will be rounded according + to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of bit-vector sort + \param s floating-point sort + + \c s must be a FloatingPoint sort, \c rm must be of RoundingMode sort, \c t must be of bit-vector sort. + + def_API('Z3_mk_fpa_to_fp_unsigned', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_unsigned(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s); + + /** + \brief Conversion of a floating-point term into an unsigned bit-vector. + + Produces a term that represents the conversion of the floating-point term \c t into a + bit-vector term of size \c sz in unsigned 2's complement format. If necessary, the result + will be rounded according to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of FloatingPoint sort + \param sz size of the resulting bit-vector + + def_API('Z3_mk_fpa_to_ubv', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(UINT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_ubv(Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz); + + /** + \brief Conversion of a floating-point term into a signed bit-vector. + + Produces a term that represents the conversion of the floating-point term \c t into a + bit-vector term of size \c sz in signed 2's complement format. If necessary, the result + will be rounded according to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param t term of FloatingPoint sort + \param sz size of the resulting bit-vector + + def_API('Z3_mk_fpa_to_sbv', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(UINT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_sbv(Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz); + + /** + \brief Conversion of a floating-point term into a real-numbered term. + + Produces a term that represents the conversion of the floating-point term \c t into a + real number. Note that this type of conversion will often result in non-linear + constraints over real terms. + + \param c logical context + \param t term of FloatingPoint sort + + def_API('Z3_mk_fpa_to_real', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_real(Z3_context c, Z3_ast t); + + + /** @name Z3-specific floating-point extensions */ + /*@{*/ + /** + \brief Retrieves the number of bits reserved for the exponent in a FloatingPoint sort. + + \param c logical context + \param s FloatingPoint sort + + def_API('Z3_fpa_get_ebits', UINT, (_in(CONTEXT),_in(SORT))) + */ + unsigned Z3_API Z3_fpa_get_ebits(Z3_context c, Z3_sort s); + + /** + \brief Retrieves the number of bits reserved for the significand in a FloatingPoint sort. + + \param c logical context + \param s FloatingPoint sort + + def_API('Z3_fpa_get_sbits', UINT, (_in(CONTEXT),_in(SORT))) + */ + unsigned Z3_API Z3_fpa_get_sbits(Z3_context c, Z3_sort s); + + /** + \brief Checks whether a given floating-point numeral is a NaN. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_nan', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_nan(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is a +oo or -oo. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_inf', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_inf(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is +zero or -zero. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_zero', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_zero(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is normal. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_normal', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_normal(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is subnormal. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_subnormal', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_subnormal(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is positive. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_positive', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_positive(Z3_context c, Z3_ast t); + + /** + \brief Checks whether a given floating-point numeral is negative. + + \param c logical context + \param t a floating-point numeral + + def_API('Z3_fpa_is_numeral_negative', BOOL, (_in(CONTEXT), _in(AST))) + */ + bool Z3_API Z3_fpa_is_numeral_negative(Z3_context c, Z3_ast t); + + /** + \brief Retrieves the sign of a floating-point literal as a bit-vector expression. + + \param c logical context + \param t a floating-point numeral + + Remarks: NaN is an invalid argument. + + def_API('Z3_fpa_get_numeral_sign_bv', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_fpa_get_numeral_sign_bv(Z3_context c, Z3_ast t); + + /** + \brief Retrieves the significand of a floating-point literal as a bit-vector expression. + + \param c logical context + \param t a floating-point numeral + + Remarks: NaN is an invalid argument. + + def_API('Z3_fpa_get_numeral_significand_bv', AST, (_in(CONTEXT), _in(AST))) + */ + Z3_ast Z3_API Z3_fpa_get_numeral_significand_bv(Z3_context c, Z3_ast t); + + /** + \brief Retrieves the sign of a floating-point literal. + + \param c logical context + \param t a floating-point numeral + \param sgn sign + + Remarks: sets \c sgn to 0 if `t' is positive and to 1 otherwise, except for + NaN, which is an invalid argument. + + def_API('Z3_fpa_get_numeral_sign', BOOL, (_in(CONTEXT), _in(AST), _out(INT))) + */ + bool Z3_API Z3_fpa_get_numeral_sign(Z3_context c, Z3_ast t, int * sgn); + + /** + \brief Return the significand value of a floating-point numeral as a string. + + \param c logical context + \param t a floating-point numeral + + Remarks: The significand \c s is always \ccode{0.0 <= s < 2.0}; the resulting string is long + enough to represent the real significand precisely. + + def_API('Z3_fpa_get_numeral_significand_string', STRING, (_in(CONTEXT), _in(AST))) + */ + Z3_string Z3_API Z3_fpa_get_numeral_significand_string(Z3_context c, Z3_ast t); + + /** + \brief Return the significand value of a floating-point numeral as a uint64. + + \param c logical context + \param t a floating-point numeral + \param n pointer to output uint64 + + Remarks: This function extracts the significand bits in `t`, without the + hidden bit or normalization. Sets the \c Z3_INVALID_ARG error code if the + significand does not fit into a \c uint64. NaN is an invalid argument. + + def_API('Z3_fpa_get_numeral_significand_uint64', BOOL, (_in(CONTEXT), _in(AST), _out(UINT64))) + */ + bool Z3_API Z3_fpa_get_numeral_significand_uint64(Z3_context c, Z3_ast t, uint64_t * n); + + /** + \brief Return the exponent value of a floating-point numeral as a string. + + \param c logical context + \param t a floating-point numeral + \param biased flag to indicate whether the result is in biased representation + + Remarks: This function extracts the exponent in `t`, without normalization. + NaN is an invalid argument. + + def_API('Z3_fpa_get_numeral_exponent_string', STRING, (_in(CONTEXT), _in(AST), _in(BOOL))) + */ + Z3_string Z3_API Z3_fpa_get_numeral_exponent_string(Z3_context c, Z3_ast t, bool biased); + + /** + \brief Return the exponent value of a floating-point numeral as a signed 64-bit integer + + \param c logical context + \param t a floating-point numeral + \param n exponent + \param biased flag to indicate whether the result is in biased representation + + Remarks: This function extracts the exponent in `t`, without normalization. + NaN is an invalid argument. + + def_API('Z3_fpa_get_numeral_exponent_int64', BOOL, (_in(CONTEXT), _in(AST), _out(INT64), _in(BOOL))) + */ + bool Z3_API Z3_fpa_get_numeral_exponent_int64(Z3_context c, Z3_ast t, int64_t * n, bool biased); + + /** + \brief Retrieves the exponent of a floating-point literal as a bit-vector expression. + + \param c logical context + \param t a floating-point numeral + \param biased flag to indicate whether the result is in biased representation + + Remarks: This function extracts the exponent in `t`, without normalization. + NaN is an invalid arguments. + + def_API('Z3_fpa_get_numeral_exponent_bv', AST, (_in(CONTEXT), _in(AST), _in(BOOL))) + */ + Z3_ast Z3_API Z3_fpa_get_numeral_exponent_bv(Z3_context c, Z3_ast t, bool biased); + + /** + \brief Conversion of a floating-point term into a bit-vector term in IEEE 754-2008 format. + + \param c logical context + \param t term of FloatingPoint sort + + \c t must have FloatingPoint sort. The size of the resulting bit-vector is automatically + determined. + + Note that IEEE 754-2008 allows multiple different representations of NaN. This conversion + knows only one NaN and it will always produce the same bit-vector representation of + that NaN. + + def_API('Z3_mk_fpa_to_ieee_bv', AST, (_in(CONTEXT),_in(AST))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_ieee_bv(Z3_context c, Z3_ast t); + + /** + \brief Conversion of a real-sorted significand and an integer-sorted exponent into a term of FloatingPoint sort. + + Produces a term that represents the conversion of \ccode{sig * 2^exp} into a + floating-point term of sort \c s. If necessary, the result will be rounded + according to rounding mode \c rm. + + \param c logical context + \param rm term of RoundingMode sort + \param exp exponent term of Int sort + \param sig significand term of Real sort + \param s FloatingPoint sort + + \c s must be a FloatingPoint sort, \c rm must be of RoundingMode sort, \c exp must be of int sort, \c sig must be of real sort. + + def_API('Z3_mk_fpa_to_fp_int_real', AST, (_in(CONTEXT),_in(AST),_in(AST),_in(AST),_in(SORT))) + */ + Z3_ast Z3_API Z3_mk_fpa_to_fp_int_real(Z3_context c, Z3_ast rm, Z3_ast exp, Z3_ast sig, Z3_sort s); + /*@}*/ + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_macros.h b/tool_bin/lib/linux/z3/include/z3_macros.h new file mode 100644 index 0000000..d1ac188 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_macros.h @@ -0,0 +1,21 @@ + +/*++ +Copyright (c) 2015 Microsoft Corporation + +--*/ + +#ifndef Z3_bool_opt +#define Z3_bool_opt Z3_bool +#endif + +#ifndef Z3_API +# ifdef __GNUC__ +# define Z3_API __attribute__ ((visibility ("default"))) +# else +# define Z3_API +# endif +#endif + +#ifndef DEFINE_TYPE +#define DEFINE_TYPE(T) typedef struct _ ## T *T +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_optimization.h b/tool_bin/lib/linux/z3/include/z3_optimization.h new file mode 100644 index 0000000..a8ffd45 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_optimization.h @@ -0,0 +1,349 @@ +/*++ +Copyright (c) 2015 Microsoft Corporation + +Module Name: + + z3_optimization.h + +Abstract: + + Optimization facilities + +Author: + + Christoph M. Wintersteiger (cwinter) 2015-12-03 + +Notes: + +--*/ +#ifndef Z3_OPTIMIZATION_H_ +#define Z3_OPTIMIZATION_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Optimization facilities */ + /*@{*/ + /** + \brief Create a new optimize context. + + \remark User must use #Z3_optimize_inc_ref and #Z3_optimize_dec_ref to manage optimize objects. + Even if the context was created using #Z3_mk_context instead of #Z3_mk_context_rc. + + def_API('Z3_mk_optimize', OPTIMIZE, (_in(CONTEXT), )) + */ + Z3_optimize Z3_API Z3_mk_optimize(Z3_context c); + + /** + \brief Increment the reference counter of the given optimize context + + def_API('Z3_optimize_inc_ref', VOID, (_in(CONTEXT), _in(OPTIMIZE))) + */ + void Z3_API Z3_optimize_inc_ref(Z3_context c, Z3_optimize d); + + /** + \brief Decrement the reference counter of the given optimize context. + + def_API('Z3_optimize_dec_ref', VOID, (_in(CONTEXT), _in(OPTIMIZE))) + */ + void Z3_API Z3_optimize_dec_ref(Z3_context c, Z3_optimize d); + + /** + \brief Assert hard constraint to the optimization context. + + \sa Z3_optimize_assert_soft + + def_API('Z3_optimize_assert', VOID, (_in(CONTEXT), _in(OPTIMIZE), _in(AST))) + */ + void Z3_API Z3_optimize_assert(Z3_context c, Z3_optimize o, Z3_ast a); + + /** + \brief Assert soft constraint to the optimization context. + \param c - context + \param o - optimization context + \param a - formula + \param weight - a positive weight, penalty for violating soft constraint + \param id - optional identifier to group soft constraints + + \sa Z3_optimize_assert + + def_API('Z3_optimize_assert_soft', UINT, (_in(CONTEXT), _in(OPTIMIZE), _in(AST), _in(STRING), _in(SYMBOL))) + */ + unsigned Z3_API Z3_optimize_assert_soft(Z3_context c, Z3_optimize o, Z3_ast a, Z3_string weight, Z3_symbol id); + + /** + \brief Add a maximization constraint. + \param c - context + \param o - optimization context + \param t - arithmetical term + + \sa Z3_optimize_minimize + + def_API('Z3_optimize_maximize', UINT, (_in(CONTEXT), _in(OPTIMIZE), _in(AST))) + */ + unsigned Z3_API Z3_optimize_maximize(Z3_context c, Z3_optimize o, Z3_ast t); + + /** + \brief Add a minimization constraint. + \param c - context + \param o - optimization context + \param t - arithmetical term + + \sa Z3_optimize_maximize + + def_API('Z3_optimize_minimize', UINT, (_in(CONTEXT), _in(OPTIMIZE), _in(AST))) + */ + unsigned Z3_API Z3_optimize_minimize(Z3_context c, Z3_optimize o, Z3_ast t); + + /** + \brief Create a backtracking point. + + The optimize solver contains a set of rules, added facts and assertions. + The set of rules, facts and assertions are restored upon calling #Z3_optimize_pop. + + \sa Z3_optimize_pop + + def_API('Z3_optimize_push', VOID, (_in(CONTEXT), _in(OPTIMIZE))) + */ + void Z3_API Z3_optimize_push(Z3_context c, Z3_optimize d); + + /** + \brief Backtrack one level. + + \sa Z3_optimize_push + + \pre The number of calls to pop cannot exceed calls to push. + + def_API('Z3_optimize_pop', VOID, (_in(CONTEXT), _in(OPTIMIZE))) + */ + void Z3_API Z3_optimize_pop(Z3_context c, Z3_optimize d); + + /** + \brief Check consistency and produce optimal values. + \param c - context + \param o - optimization context + \param num_assumptions - number of additional assumptions + \param assumptions - the additional assumptions + + \sa Z3_optimize_get_reason_unknown + \sa Z3_optimize_get_model + \sa Z3_optimize_get_statistics + \sa Z3_optimize_get_unsat_core + + def_API('Z3_optimize_check', INT, (_in(CONTEXT), _in(OPTIMIZE), _in(UINT), _in_array(2, AST))) + */ + Z3_lbool Z3_API Z3_optimize_check(Z3_context c, Z3_optimize o, unsigned num_assumptions, Z3_ast const assumptions[]); + + + /** + \brief Retrieve a string that describes the last status returned by #Z3_optimize_check. + + Use this method when #Z3_optimize_check returns \c Z3_L_UNDEF. + + def_API('Z3_optimize_get_reason_unknown', STRING, (_in(CONTEXT), _in(OPTIMIZE) )) + */ + Z3_string Z3_API Z3_optimize_get_reason_unknown(Z3_context c, Z3_optimize d); + + /** + \brief Retrieve the model for the last #Z3_optimize_check + + The error handler is invoked if a model is not available because + the commands above were not invoked for the given optimization + solver, or if the result was \c Z3_L_FALSE. + + def_API('Z3_optimize_get_model', MODEL, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_model Z3_API Z3_optimize_get_model(Z3_context c, Z3_optimize o); + + /** + \brief Retrieve the unsat core for the last #Z3_optimize_check + The unsat core is a subset of the assumptions \c a. + + def_API('Z3_optimize_get_unsat_core', AST_VECTOR, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_ast_vector Z3_API Z3_optimize_get_unsat_core(Z3_context c, Z3_optimize o); + + /** + \brief Set parameters on optimization context. + + \param c - context + \param o - optimization context + \param p - parameters + + \sa Z3_optimize_get_help + \sa Z3_optimize_get_param_descrs + + def_API('Z3_optimize_set_params', VOID, (_in(CONTEXT), _in(OPTIMIZE), _in(PARAMS))) + */ + void Z3_API Z3_optimize_set_params(Z3_context c, Z3_optimize o, Z3_params p); + + /** + \brief Return the parameter description set for the given optimize object. + + \param c - context + \param o - optimization context + + \sa Z3_optimize_get_help + \sa Z3_optimize_set_params + + def_API('Z3_optimize_get_param_descrs', PARAM_DESCRS, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_param_descrs Z3_API Z3_optimize_get_param_descrs(Z3_context c, Z3_optimize o); + + /** + \brief Retrieve lower bound value or approximation for the i'th optimization objective. + + \param c - context + \param o - optimization context + \param idx - index of optimization objective + + \sa Z3_optimize_get_upper + \sa Z3_optimize_get_lower_as_vector + \sa Z3_optimize_get_upper_as_vector + + def_API('Z3_optimize_get_lower', AST, (_in(CONTEXT), _in(OPTIMIZE), _in(UINT))) + */ + Z3_ast Z3_API Z3_optimize_get_lower(Z3_context c, Z3_optimize o, unsigned idx); + + /** + \brief Retrieve upper bound value or approximation for the i'th optimization objective. + + \param c - context + \param o - optimization context + \param idx - index of optimization objective + + \sa Z3_optimize_get_lower + \sa Z3_optimize_get_lower_as_vector + \sa Z3_optimize_get_upper_as_vector + + def_API('Z3_optimize_get_upper', AST, (_in(CONTEXT), _in(OPTIMIZE), _in(UINT))) + */ + Z3_ast Z3_API Z3_optimize_get_upper(Z3_context c, Z3_optimize o, unsigned idx); + + + /** + \brief Retrieve lower bound value or approximation for the i'th optimization objective. + The returned vector is of length 3. It always contains numerals. + The three numerals are coefficients \c a, \c b, \c c and encode the result of + #Z3_optimize_get_lower \ccode{a * infinity + b + c * epsilon}. + + \param c - context + \param o - optimization context + \param idx - index of optimization objective + + \sa Z3_optimize_get_lower + \sa Z3_optimize_get_upper + \sa Z3_optimize_get_upper_as_vector + + def_API('Z3_optimize_get_lower_as_vector', AST_VECTOR, (_in(CONTEXT), _in(OPTIMIZE), _in(UINT))) + */ + Z3_ast_vector Z3_API Z3_optimize_get_lower_as_vector(Z3_context c, Z3_optimize o, unsigned idx); + + /** + \brief Retrieve upper bound value or approximation for the i'th optimization objective. + + \param c - context + \param o - optimization context + \param idx - index of optimization objective + + \sa Z3_optimize_get_lower + \sa Z3_optimize_get_upper + \sa Z3_optimize_get_lower_as_vector + + def_API('Z3_optimize_get_upper_as_vector', AST_VECTOR, (_in(CONTEXT), _in(OPTIMIZE), _in(UINT))) + */ + Z3_ast_vector Z3_API Z3_optimize_get_upper_as_vector(Z3_context c, Z3_optimize o, unsigned idx); + + + /** + \brief Print the current context as a string. + \param c - context. + \param o - optimization context. + + \sa Z3_optimize_from_file + \sa Z3_optimize_from_string + + def_API('Z3_optimize_to_string', STRING, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_string Z3_API Z3_optimize_to_string(Z3_context c, Z3_optimize o); + + /** + \brief Parse an SMT-LIB2 string with assertions, + soft constraints and optimization objectives. + Add the parsed constraints and objectives to the optimization context. + + \param c - context. + \param o - optimize context. + \param s - string containing SMT2 specification. + + \sa Z3_optimize_from_file + \sa Z3_optimize_to_string + + def_API('Z3_optimize_from_string', VOID, (_in(CONTEXT), _in(OPTIMIZE), _in(STRING))) + */ + void Z3_API Z3_optimize_from_string(Z3_context c, Z3_optimize o, Z3_string s); + + /** + \brief Parse an SMT-LIB2 file with assertions, + soft constraints and optimization objectives. + Add the parsed constraints and objectives to the optimization context. + + \param c - context. + \param o - optimize context. + \param s - path to file containing SMT2 specification. + + \sa Z3_optimize_from_string + \sa Z3_optimize_to_string + + def_API('Z3_optimize_from_file', VOID, (_in(CONTEXT), _in(OPTIMIZE), _in(STRING))) + */ + void Z3_API Z3_optimize_from_file(Z3_context c, Z3_optimize o, Z3_string s); + + /** + \brief Return a string containing a description of parameters accepted by optimize. + + \sa Z3_optimize_get_param_descrs + \sa Z3_optimize_set_params + + def_API('Z3_optimize_get_help', STRING, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_string Z3_API Z3_optimize_get_help(Z3_context c, Z3_optimize t); + + /** + \brief Retrieve statistics information from the last call to #Z3_optimize_check + + def_API('Z3_optimize_get_statistics', STATS, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_stats Z3_API Z3_optimize_get_statistics(Z3_context c, Z3_optimize d); + + /** + \brief Return the set of asserted formulas on the optimization context. + + def_API('Z3_optimize_get_assertions', AST_VECTOR, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_ast_vector Z3_API Z3_optimize_get_assertions(Z3_context c, Z3_optimize o); + + /** + \brief Return objectives on the optimization context. + If the objective function is a max-sat objective it is returned + as a Pseudo-Boolean (minimization) sum of the form \ccode{(+ (if f1 w1 0) (if f2 w2 0) ...)} + If the objective function is entered as a maximization objective, then return + the corresponding minimization objective. In this way the resulting objective + function is always returned as a minimization objective. + + def_API('Z3_optimize_get_objectives', AST_VECTOR, (_in(CONTEXT), _in(OPTIMIZE))) + */ + Z3_ast_vector Z3_API Z3_optimize_get_objectives(Z3_context c, Z3_optimize o); + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_polynomial.h b/tool_bin/lib/linux/z3/include/z3_polynomial.h new file mode 100644 index 0000000..5f4815d --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_polynomial.h @@ -0,0 +1,54 @@ +/*++ +Copyright (c) 2012 Microsoft Corporation + +Module Name: + + z3_polynomial.h + +Abstract: + + Additional APIs for polynomials. + +Author: + + Leonardo de Moura (leonardo) 2012-12-09 + +Notes: + +--*/ + +#ifndef Z3_POLYNOMIAL_H_ +#define Z3_POLYNOMIAL_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + + /** @name Polynomials */ + /*@{*/ + + /** + \brief Return the nonzero subresultants of \c p and \c q with respect to the "variable" \c x. + + \pre \c p, \c q and \c x are Z3 expressions where \c p and \c q are arithmetic terms. + Note that, any subterm that cannot be viewed as a polynomial is assumed to be a variable. + Example: \ccode{f(a)} is a considered to be a variable in the polynomial \ccode{ + f(a)*f(a) + 2*f(a) + 1} + + def_API('Z3_polynomial_subresultants', AST_VECTOR, (_in(CONTEXT), _in(AST), _in(AST), _in(AST))) + */ + Z3_ast_vector Z3_API Z3_polynomial_subresultants(Z3_context c, Z3_ast p, Z3_ast q, Z3_ast x); + + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_rcf.h b/tool_bin/lib/linux/z3/include/z3_rcf.h new file mode 100644 index 0000000..4e4ecbd --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_rcf.h @@ -0,0 +1,207 @@ +/*++ +Copyright (c) 2013 Microsoft Corporation + +Module Name: + + z3_rcf.h + +Abstract: + + Additional APIs for handling elements of the Z3 real closed field that contains: + - transcendental extensions + - infinitesimal extensions + - algebraic extensions + +Author: + + Leonardo de Moura (leonardo) 2012-01-05 + +Notes: + +--*/ +#ifndef Z3_RCF_H_ +#define Z3_RCF_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Real Closed Fields */ + /*@{*/ + /** + \brief Delete a RCF numeral created using the RCF API. + + def_API('Z3_rcf_del', VOID, (_in(CONTEXT), _in(RCF_NUM))) + */ + void Z3_API Z3_rcf_del(Z3_context c, Z3_rcf_num a); + + /** + \brief Return a RCF rational using the given string. + + def_API('Z3_rcf_mk_rational', RCF_NUM, (_in(CONTEXT), _in(STRING))) + */ + Z3_rcf_num Z3_API Z3_rcf_mk_rational(Z3_context c, Z3_string val); + + /** + \brief Return a RCF small integer. + + def_API('Z3_rcf_mk_small_int', RCF_NUM, (_in(CONTEXT), _in(INT))) + */ + Z3_rcf_num Z3_API Z3_rcf_mk_small_int(Z3_context c, int val); + + /** + \brief Return Pi + + def_API('Z3_rcf_mk_pi', RCF_NUM, (_in(CONTEXT),)) + */ + Z3_rcf_num Z3_API Z3_rcf_mk_pi(Z3_context c); + + /** + \brief Return e (Euler's constant) + + def_API('Z3_rcf_mk_e', RCF_NUM, (_in(CONTEXT),)) + */ + Z3_rcf_num Z3_API Z3_rcf_mk_e(Z3_context c); + + /** + \brief Return a new infinitesimal that is smaller than all elements in the Z3 field. + + def_API('Z3_rcf_mk_infinitesimal', RCF_NUM, (_in(CONTEXT),)) + */ + Z3_rcf_num Z3_API Z3_rcf_mk_infinitesimal(Z3_context c); + + /** + \brief Store in roots the roots of the polynomial \ccode{a[n-1]*x^{n-1} + ... + a[0]}. + The output vector \c roots must have size \c n. + It returns the number of roots of the polynomial. + + \pre The input polynomial is not the zero polynomial. + + def_API('Z3_rcf_mk_roots', UINT, (_in(CONTEXT), _in(UINT), _in_array(1, RCF_NUM), _out_array(1, RCF_NUM))) + */ + unsigned Z3_API Z3_rcf_mk_roots(Z3_context c, unsigned n, Z3_rcf_num const a[], Z3_rcf_num roots[]); + + /** + \brief Return the value \ccode{a + b}. + + def_API('Z3_rcf_add', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_add(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return the value \ccode{a - b}. + + def_API('Z3_rcf_sub', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_sub(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return the value \ccode{a * b}. + + def_API('Z3_rcf_mul', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_mul(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return the value \ccode{a / b}. + + def_API('Z3_rcf_div', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_div(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return the value \ccode{-a}. + + def_API('Z3_rcf_neg', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_neg(Z3_context c, Z3_rcf_num a); + + /** + \brief Return the value \ccode{1/a}. + + def_API('Z3_rcf_inv', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM))) + */ + Z3_rcf_num Z3_API Z3_rcf_inv(Z3_context c, Z3_rcf_num a); + + /** + \brief Return the value \ccode{a^k}. + + def_API('Z3_rcf_power', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(UINT))) + */ + Z3_rcf_num Z3_API Z3_rcf_power(Z3_context c, Z3_rcf_num a, unsigned k); + + /** + \brief Return \c true if \ccode{a < b}. + + def_API('Z3_rcf_lt', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_lt(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return \c true if \ccode{a > b}. + + def_API('Z3_rcf_gt', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_gt(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return \c true if \ccode{a <= b}. + + def_API('Z3_rcf_le', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_le(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return \c true if \ccode{a >= b}. + + def_API('Z3_rcf_ge', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_ge(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return \c true if \ccode{a == b}. + + def_API('Z3_rcf_eq', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_eq(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Return \c true if \ccode{a != b}. + + def_API('Z3_rcf_neq', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM))) + */ + bool Z3_API Z3_rcf_neq(Z3_context c, Z3_rcf_num a, Z3_rcf_num b); + + /** + \brief Convert the RCF numeral into a string. + + def_API('Z3_rcf_num_to_string', STRING, (_in(CONTEXT), _in(RCF_NUM), _in(BOOL), _in(BOOL))) + */ + Z3_string Z3_API Z3_rcf_num_to_string(Z3_context c, Z3_rcf_num a, bool compact, bool html); + + /** + \brief Convert the RCF numeral into a string in decimal notation. + + def_API('Z3_rcf_num_to_decimal_string', STRING, (_in(CONTEXT), _in(RCF_NUM), _in(UINT))) + */ + Z3_string Z3_API Z3_rcf_num_to_decimal_string(Z3_context c, Z3_rcf_num a, unsigned prec); + + /** + \brief Extract the "numerator" and "denominator" of the given RCF numeral. + We have that \ccode{a = n/d}, moreover \c n and \c d are not represented using rational functions. + + def_API('Z3_rcf_get_numerator_denominator', VOID, (_in(CONTEXT), _in(RCF_NUM), _out(RCF_NUM), _out(RCF_NUM))) + */ + void Z3_API Z3_rcf_get_numerator_denominator(Z3_context c, Z3_rcf_num a, Z3_rcf_num * n, Z3_rcf_num * d); + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_spacer.h b/tool_bin/lib/linux/z3/include/z3_spacer.h new file mode 100644 index 0000000..09cbe6a --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_spacer.h @@ -0,0 +1,143 @@ +/*++ +Copyright (c) 2017 Arie Gurfinkel + +Module Name: + + z3_spacer.h + +Abstract: + + Spacer API + +Author: + + Arie Gurfinkel (arie) + +Notes: + +--*/ +#ifndef Z3_SPACER_H_ +#define Z3_SPACER_H_ + +#ifdef __cplusplus +extern "C" { +#endif // __cplusplus + + /** \defgroup capi C API */ + /*@{*/ + + /** @name Spacer facilities */ + /*@{*/ + /** + \brief Pose a query against the asserted rules at the given level. + + \code + query ::= (exists (bound-vars) query) + | literals + \endcode + + query returns + - \c Z3_L_FALSE if the query is unsatisfiable. + - \c Z3_L_TRUE if the query is satisfiable. Obtain the answer by calling #Z3_fixedpoint_get_answer. + - \c Z3_L_UNDEF if the query was interrupted, timed out or otherwise failed. + + def_API('Z3_fixedpoint_query_from_lvl', INT, (_in(CONTEXT), _in(FIXEDPOINT), _in(AST), _in(UINT))) + */ + Z3_lbool Z3_API Z3_fixedpoint_query_from_lvl (Z3_context c,Z3_fixedpoint d, Z3_ast query, unsigned lvl); + + /** + \brief Retrieve a bottom-up (from query) sequence of ground facts + + The previous call to #Z3_fixedpoint_query must have returned \c Z3_L_TRUE. + + def_API('Z3_fixedpoint_get_ground_sat_answer', AST, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_ast Z3_API Z3_fixedpoint_get_ground_sat_answer(Z3_context c,Z3_fixedpoint d); + + /** + \brief Obtain the list of rules along the counterexample trace. + + def_API('Z3_fixedpoint_get_rules_along_trace', AST_VECTOR, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_ast_vector Z3_API Z3_fixedpoint_get_rules_along_trace(Z3_context c,Z3_fixedpoint d); + + /** + \brief Obtain the list of rules along the counterexample trace. + + def_API('Z3_fixedpoint_get_rule_names_along_trace', SYMBOL, (_in(CONTEXT), _in(FIXEDPOINT))) + */ + Z3_symbol Z3_API Z3_fixedpoint_get_rule_names_along_trace(Z3_context c,Z3_fixedpoint d); + + /** + \brief Add an invariant for the predicate \c pred. + Add an assumed invariant of predicate \c pred. + + Note: this functionality is Spacer specific. + + def_API('Z3_fixedpoint_add_invariant', VOID, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL), _in(AST))) + */ + void Z3_API Z3_fixedpoint_add_invariant(Z3_context c, Z3_fixedpoint d, Z3_func_decl pred, Z3_ast property); + + + /** + Retrieve reachable states of a predicate. + Note: this functionality is Spacer specific. + + def_API('Z3_fixedpoint_get_reachable', AST, (_in(CONTEXT), _in(FIXEDPOINT), _in(FUNC_DECL))) + */ + Z3_ast Z3_API Z3_fixedpoint_get_reachable(Z3_context c, Z3_fixedpoint d, Z3_func_decl pred); + + /** + \brief Project variables given a model + + def_API('Z3_qe_model_project', AST, (_in(CONTEXT), _in(MODEL), _in(UINT), _in_array(2, APP), _in(AST))) + */ + Z3_ast Z3_API Z3_qe_model_project + (Z3_context c, + Z3_model m, + unsigned num_bounds, + Z3_app const bound[], + Z3_ast body); + + + /** + \brief Project variables given a model + + def_API('Z3_qe_model_project_skolem', AST, (_in(CONTEXT), _in(MODEL), _in(UINT), _in_array(2, APP), _in(AST), _in(AST_MAP))) + */ + Z3_ast Z3_API Z3_qe_model_project_skolem + (Z3_context c, + Z3_model m, + unsigned num_bounds, + Z3_app const bound[], + Z3_ast body, + Z3_ast_map map); + + /** + \brief Extrapolates a model of a formula + + def_API('Z3_model_extrapolate', AST, (_in(CONTEXT), _in(MODEL), _in(AST))) + */ + Z3_ast Z3_API Z3_model_extrapolate + (Z3_context c, + Z3_model m, + Z3_ast fml); + + /** + \brief Best-effort quantifier elimination + + def_API ('Z3_qe_lite', AST, (_in(CONTEXT), _in(AST_VECTOR), _in(AST))) + */ + Z3_ast Z3_API Z3_qe_lite + (Z3_context c, + Z3_ast_vector vars, + Z3_ast body); + + /*@}*/ + /*@}*/ + +#ifdef __cplusplus +} +#endif // __cplusplus + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_v1.h b/tool_bin/lib/linux/z3/include/z3_v1.h new file mode 100644 index 0000000..66de943 --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_v1.h @@ -0,0 +1,64 @@ +/*++ +Copyright (c) 2011 Microsoft Corporation + +Module Name: + + z3_v1.h + +Abstract: + + Z3 1.x backwards compatibility macros. + These macros are used to simulate the Z3 API using in the 1.x versions. + This file should only be used by users still using the Z3 1.x API. + +Author: + + Leonardo de Moura (leonardo) 2011-09-22 + +Notes: + +--*/ +#ifndef Z3_V1_H_ +#define Z3_V1_H_ + +#include "api/z3.h" + +// Backwards compatibility +#define Z3_type_ast Z3_sort +#define Z3_const_decl_ast Z3_func_decl +#define Z3_const Z3_app +#define Z3_pattern_ast Z3_pattern +#define Z3_UNINTERPRETED_TYPE Z3_UNINTERPRETED_SORT +#define Z3_BOOL_TYPE Z3_BOOL_SORT +#define Z3_INT_TYPE Z3_INT_SORT +#define Z3_REAL_TYPE Z3_REAL_SORT +#define Z3_BV_TYPE Z3_BV_SORT +#define Z3_ARRAY_TYPE Z3_ARRAY_SORT +#define Z3_TUPLE_TYPE Z3_DATATYPE_SORT +#define Z3_UNKNOWN_TYPE Z3_UNKNOWN_SORT +#define Z3_CONST_DECL_AST Z3_FUNC_DECL_AST +#define Z3_TYPE_AST Z3_SORT_AST +#define Z3_SORT_ERROR Z3_TYPE_ERROR +#define Z3_mk_uninterpreted_type Z3_mk_uninterpreted_sort +#define Z3_mk_bool_type Z3_mk_bool_sort +#define Z3_mk_int_type Z3_mk_int_sort +#define Z3_mk_real_type Z3_mk_real_sort +#define Z3_mk_bv_type Z3_mk_bv_sort +#define Z3_mk_array_type Z3_mk_array_sort +#define Z3_mk_tuple_type Z3_mk_tuple_sort +#define Z3_get_type Z3_get_sort +#define Z3_get_pattern_ast Z3_get_pattern +#define Z3_get_type_kind Z3_get_sort_kind +#define Z3_get_type_name Z3_get_sort_name +#define Z3_get_bv_type_size Z3_get_bv_sort_size +#define Z3_get_array_type_domain Z3_get_array_sort_domain +#define Z3_get_array_type_range Z3_get_array_sort_range +#define Z3_get_tuple_type_num_fields Z3_get_tuple_sort_num_fields +#define Z3_get_tuple_type_field_decl Z3_get_tuple_sort_field_decl +#define Z3_get_tuple_type_mk_decl Z3_get_tuple_sort_mk_decl +#define Z3_to_const_ast Z3_to_app +#define Z3_get_numeral_value_string Z3_get_numeral_string +#define Z3_get_const_ast_decl Z3_get_app_decl +#define Z3_get_value Z3_eval_func_decl + +#endif diff --git a/tool_bin/lib/linux/z3/include/z3_version.h b/tool_bin/lib/linux/z3/include/z3_version.h new file mode 100644 index 0000000..e9ad68a --- /dev/null +++ b/tool_bin/lib/linux/z3/include/z3_version.h @@ -0,0 +1,7 @@ +// automatically generated file. +#define Z3_MAJOR_VERSION 4 +#define Z3_MINOR_VERSION 8 +#define Z3_BUILD_NUMBER 4 +#define Z3_REVISION_NUMBER 10272 + +#define Z3_FULL_VERSION "Z3 4.8.4.10272 d6df51951f4c master z3-4.8.4" |