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Simplify RCF C API. Add Z3_rcf_mk_roots (C API) and MkRoots (Python API). Implement basic root isolation support.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
Leonardo de Moura 2013-01-07 12:25:28 -08:00
parent 3c1f1a3b65
commit 09b5724d82
6 changed files with 216 additions and 118 deletions

View file

@ -32,6 +32,22 @@ def MkInfinitesimal(name="eps", ctx=None):
ctx = z3._get_ctx(ctx)
return RCFNum(Z3_rcf_mk_infinitesimal(ctx.ref(), name), ctx)
def MkRoots(p, ctx=None):
ctx = z3._get_ctx(ctx)
num = len(p)
_tmp = []
_as = (RCFNumObj * num)()
_rs = (RCFNumObj * num)()
for i in range(num):
_a = _to_rcfnum(p[i], ctx)
_tmp.append(_a) # prevent GC
_as[i] = _a.num
nr = Z3_rcf_mk_roots(ctx.ref(), num, _as, _rs)
r = []
for i in range(nr):
r.append(RCFNum(_rs[i], ctx))
return r
class RCFNum:
def __init__(self, num, ctx=None):
# TODO: add support for converting AST numeral values into RCFNum
@ -41,10 +57,9 @@ class RCFNum:
else:
self.ctx = z3._get_ctx(ctx)
self.num = Z3_rcf_mk_rational(self.ctx_ref(), str(num))
Z3_rcf_inc_ref(self.ctx_ref(), self.num)
def __del__(self):
Z3_rcf_dec_ref(self.ctx_ref(), self.num)
Z3_rcf_del(self.ctx_ref(), self.num)
def ctx_ref(self):
return self.ctx.ref()
@ -53,28 +68,36 @@ class RCFNum:
return Z3_rcf_num_to_string(self.ctx_ref(), self.num)
def __add__(self, other):
return RCFNum(Z3_rcf_add(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_add(self.ctx_ref(), self.num, v.num), self.ctx)
def __radd__(self, other):
return RCFNum(Z3_rcf_add(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_add(self.ctx_ref(), v.num, self.num), self.ctx)
def __mul__(self, other):
return RCFNum(Z3_rcf_mul(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_mul(self.ctx_ref(), self.num, v.num), self.ctx)
def __rmul__(self, other):
return RCFNum(Z3_rcf_mul(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_mul(self.ctx_ref(), v.num, self.num), self.ctx)
def __sub__(self, other):
return RCFNum(Z3_rcf_sub(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_sub(self.ctx_ref(), self.num, v.num), self.ctx)
def __rsub__(self, other):
return RCFNum(Z3_rcf_sub(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_sub(self.ctx_ref(), v.num, self.num), self.ctx)
def __div__(self, other):
return RCFNum(Z3_rcf_div(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_div(self.ctx_ref(), self.num, v.num), self.ctx)
def __rdiv__(self, other):
return RCFNum(Z3_rcf_div(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num), self.ctx)
v = _to_rcfnum(other, self.ctx)
return RCFNum(Z3_rcf_div(self.ctx_ref(), v.num, self.num), self.ctx)
def __neg__(self):
return self.__rsub__(0)
@ -83,32 +106,42 @@ class RCFNum:
return Z3_rcf_num_to_decimal_string(self.ctx_ref(), self.num, prec)
def __lt__(self, other):
return Z3_rcf_lt(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_lt(self.ctx_ref(), self.num, v.num)
def __rlt__(self, other):
return Z3_rcf_lt(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_lt(self.ctx_ref(), v.num, self.num)
def __gt__(self, other):
return Z3_rcf_gt(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_gt(self.ctx_ref(), self.num, v.num)
def __rgt__(self, other):
return Z3_rcf_gt(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_gt(self.ctx_ref(), v.num, self.num)
def __le__(self, other):
return Z3_rcf_le(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_le(self.ctx_ref(), self.num, v.num)
def __rle__(self, other):
return Z3_rcf_le(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_le(self.ctx_ref(), v.num, self.num)
def __ge__(self, other):
return Z3_rcf_ge(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_ge(self.ctx_ref(), self.num, v.num)
def __rge__(self, other):
return Z3_rcf_ge(self.ctx_ref(), _to_rcfnum(other, self.ctx).num, self.num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_ge(self.ctx_ref(), v.num, self.num)
def __eq__(self, other):
return Z3_rcf_eq(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_eq(self.ctx_ref(), self.num, v.num)
def __ne__(self, other):
return Z3_rcf_neq(self.ctx_ref(), self.num, _to_rcfnum(other, self.ctx).num)
v = _to_rcfnum(other, self.ctx)
return Z3_rcf_neq(self.ctx_ref(), self.num, v.num)