/usr/include/z3_rcf.h is in libz3-dev 4.4.0-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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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 API
*/
/*@{*/
/**
\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(__in Z3_context c, __in 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(__in Z3_context c, __in 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(__in Z3_context c, __in int val);
/**
\brief Return Pi
def_API('Z3_rcf_mk_pi', RCF_NUM, (_in(CONTEXT),))
*/
Z3_rcf_num Z3_API Z3_rcf_mk_pi(__in 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(__in 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(__in Z3_context c);
/**
\brief Store in roots the roots of the polynomial <tt>a[n-1]*x^{n-1} + ... + a[0]</tt>.
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(__in Z3_context c, __in unsigned n, __in_ecount(n) Z3_rcf_num const a[], __out_ecount(n) Z3_rcf_num roots[]);
/**
\brief Return the value 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(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return the value 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(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return the value 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(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return the value 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(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return the value -a
def_API('Z3_rcf_neg', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM)))
*/
Z3_rcf_num Z3_API Z3_rcf_neg(__in Z3_context c, __in Z3_rcf_num a);
/**
\brief Return the value 1/a
def_API('Z3_rcf_inv', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM)))
*/
Z3_rcf_num Z3_API Z3_rcf_inv(__in Z3_context c, __in Z3_rcf_num a);
/**
\brief Return the value a^k
def_API('Z3_rcf_power', RCF_NUM, (_in(CONTEXT), _in(RCF_NUM), _in(UINT)))
*/
Z3_rcf_num Z3_API Z3_rcf_power(__in Z3_context c, __in Z3_rcf_num a, __in unsigned k);
/**
\brief Return Z3_TRUE if a < b
def_API('Z3_rcf_lt', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_lt(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return Z3_TRUE if a > b
def_API('Z3_rcf_gt', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_gt(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return Z3_TRUE if a <= b
def_API('Z3_rcf_le', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_le(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return Z3_TRUE if a >= b
def_API('Z3_rcf_ge', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_ge(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return Z3_TRUE if a == b
def_API('Z3_rcf_eq', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_eq(__in Z3_context c, __in Z3_rcf_num a, __in Z3_rcf_num b);
/**
\brief Return Z3_TRUE if a != b
def_API('Z3_rcf_neq', BOOL, (_in(CONTEXT), _in(RCF_NUM), _in(RCF_NUM)))
*/
Z3_bool Z3_API Z3_rcf_neq(__in Z3_context c, __in Z3_rcf_num a, __in 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(__in Z3_context c, __in Z3_rcf_num a, __in Z3_bool compact, __in Z3_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(__in Z3_context c, __in Z3_rcf_num a, __in unsigned prec);
/**
\brief Extract the "numerator" and "denominator" of the given RCF numeral.
We have that a = n/d, moreover n and 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(__in Z3_context c, __in Z3_rcf_num a, __out Z3_rcf_num * n, __out Z3_rcf_num * d);
/*@}*/
/*@}*/
#ifdef __cplusplus
};
#endif // __cplusplus
#endif
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