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rint.py
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668 lines (544 loc) · 21.7 KB
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import sys
from rpython.annotator import model as annmodel
from rpython.flowspace.operation import op_appendices
from rpython.rlib import objectmodel, jit
from rpython.rlib.rarithmetic import intmask, longlongmask, r_int, r_longlong
from rpython.rlib.rarithmetic import r_uint, r_ulonglong, r_longlonglong, r_ulonglonglong
from rpython.rtyper.error import TyperError
from rpython.rtyper.lltypesystem.lltype import (Signed, Unsigned, Bool, Float,
Char, UniChar, UnsignedLongLong, SignedLongLong, build_number, Number,
cast_primitive, typeOf, SignedLongLongLong, UnsignedLongLongLong)
from rpython.rtyper.rfloat import FloatRepr
from rpython.rtyper.rmodel import inputconst, log
from rpython.tool.pairtype import pairtype
from rpython.rtyper.lltypesystem.lloperation import llop
class IntegerRepr(FloatRepr):
def __init__(self, lowleveltype, opprefix):
self.lowleveltype = lowleveltype
self._opprefix = opprefix
self.as_int = self
@property
def opprefix(self):
if self._opprefix is None:
raise TyperError("arithmetic not supported on %r, its size is too small" %
self.lowleveltype)
return self._opprefix
def convert_const(self, value):
if isinstance(value, objectmodel.Symbolic):
return value
T = typeOf(value)
if isinstance(T, Number) or T is Bool:
return cast_primitive(self.lowleveltype, value)
raise TyperError("not an integer: %r" % (value,))
def get_ll_eq_function(self):
if getattr(self, '_opprefix', '?') is None:
return ll_eq_shortint
return None
def get_ll_ge_function(self):
return None
get_ll_gt_function = get_ll_ge_function
get_ll_lt_function = get_ll_ge_function
get_ll_le_function = get_ll_ge_function
def get_ll_hash_function(self):
if (sys.maxint == 2147483647 and
self.lowleveltype in (SignedLongLong, UnsignedLongLong)):
return ll_hash_long_long
return ll_hash_int
get_ll_fasthash_function = get_ll_hash_function
def get_ll_dummyval_obj(self, rtyper, s_value):
# if >= 0, then all negative values are special
if s_value.nonneg and self.lowleveltype is Signed:
return signed_repr # whose ll_dummy_value is -1
else:
return None
ll_dummy_value = -1
def rtype_chr(_, hop):
vlist = hop.inputargs(Signed)
if hop.has_implicit_exception(ValueError):
hop.exception_is_here()
hop.gendirectcall(ll_check_chr, vlist[0])
else:
hop.exception_cannot_occur()
return hop.genop('cast_int_to_char', vlist, resulttype=Char)
def rtype_unichr(_, hop):
vlist = hop.inputargs(Signed)
if hop.has_implicit_exception(ValueError):
hop.exception_is_here()
hop.gendirectcall(ll_check_unichr, vlist[0])
else:
hop.exception_cannot_occur()
return hop.genop('cast_int_to_unichar', vlist, resulttype=UniChar)
def rtype_bool(self, hop):
assert self is self.as_int # rtype_is_true() is overridden in BoolRepr
vlist = hop.inputargs(self)
return hop.genop(self.opprefix + 'is_true', vlist, resulttype=Bool)
#Unary arithmetic operations
def rtype_abs(self, hop):
self = self.as_int
vlist = hop.inputargs(self)
if hop.s_result.unsigned:
return vlist[0]
else:
return hop.genop(self.opprefix + 'abs', vlist, resulttype=self)
def rtype_abs_ovf(self, hop):
self = self.as_int
if hop.s_result.unsigned:
raise TyperError("forbidden uint_abs_ovf")
else:
return _rtype_call_helper(hop, 'abs_ovf')
def rtype_invert(self, hop):
self = self.as_int
vlist = hop.inputargs(self)
return hop.genop(self.opprefix + 'invert', vlist, resulttype=self)
def rtype_neg(self, hop):
self = self.as_int
vlist = hop.inputargs(self)
if hop.s_result.unsigned:
# implement '-r_uint(x)' with unsigned subtraction '0 - x'
zero = self.lowleveltype._defl()
vlist.insert(0, hop.inputconst(self.lowleveltype, zero))
return hop.genop(self.opprefix + 'sub', vlist, resulttype=self)
else:
return hop.genop(self.opprefix + 'neg', vlist, resulttype=self)
def rtype_neg_ovf(self, hop):
self = self.as_int
if hop.s_result.unsigned:
# this is supported (and turns into just 0-x) for rbigint.py
hop.exception_cannot_occur()
return self.rtype_neg(hop)
else:
return _rtype_call_helper(hop, 'neg_ovf')
def rtype_pos(self, hop):
self = self.as_int
vlist = hop.inputargs(self)
return vlist[0]
def rtype_int(self, hop):
if self.lowleveltype in (Unsigned, UnsignedLongLong):
raise TyperError("use intmask() instead of int(r_uint(...))")
vlist = hop.inputargs(Signed)
hop.exception_cannot_occur()
return vlist[0]
def rtype_float(_, hop):
vlist = hop.inputargs(Float)
hop.exception_cannot_occur()
return vlist[0]
@jit.elidable
def ll_str(self, i):
from rpython.rtyper.lltypesystem.ll_str import ll_int2dec
return ll_int2dec(i)
def rtype_hex(self, hop):
from rpython.rtyper.lltypesystem.ll_str import ll_int2hex
self = self.as_int
varg = hop.inputarg(self, 0)
true = inputconst(Bool, True)
return hop.gendirectcall(ll_int2hex, varg, true)
def rtype_oct(self, hop):
from rpython.rtyper.lltypesystem.ll_str import ll_int2oct
self = self.as_int
varg = hop.inputarg(self, 0)
true = inputconst(Bool, True)
return hop.gendirectcall(ll_int2oct, varg, true)
_integer_reprs = {}
def getintegerrepr(lltype, prefix=None):
try:
return _integer_reprs[lltype]
except KeyError:
pass
repr = _integer_reprs[lltype] = IntegerRepr(lltype, prefix)
return repr
class __extend__(annmodel.SomeInteger):
def rtyper_makerepr(self, rtyper):
lltype = build_number(None, self.knowntype)
return getintegerrepr(lltype)
def rtyper_makekey(self):
return self.__class__, self.knowntype
signed_repr = getintegerrepr(Signed, 'int_')
signedlonglong_repr = getintegerrepr(SignedLongLong, 'llong_')
signedlonglonglong_repr = getintegerrepr(SignedLongLongLong, 'lllong_')
unsigned_repr = getintegerrepr(Unsigned, 'uint_')
unsignedlonglong_repr = getintegerrepr(UnsignedLongLong, 'ullong_')
unsignedlonglonglong_repr = getintegerrepr(UnsignedLongLongLong, 'ulllong_')
class __extend__(pairtype(IntegerRepr, IntegerRepr)):
def convert_from_to((r_from, r_to), v, llops):
if r_from.lowleveltype == Signed and r_to.lowleveltype == Unsigned:
log.debug('explicit cast_int_to_uint')
return llops.genop('cast_int_to_uint', [v], resulttype=Unsigned)
if r_from.lowleveltype == Unsigned and r_to.lowleveltype == Signed:
log.debug('explicit cast_uint_to_int')
return llops.genop('cast_uint_to_int', [v], resulttype=Signed)
if r_from.lowleveltype == Signed and r_to.lowleveltype == SignedLongLong:
return llops.genop('cast_int_to_longlong', [v], resulttype=SignedLongLong)
if r_from.lowleveltype == SignedLongLong and r_to.lowleveltype == Signed:
return llops.genop('truncate_longlong_to_int', [v], resulttype=Signed)
return llops.genop('cast_primitive', [v], resulttype=r_to.lowleveltype)
#arithmetic
def rtype_add(_, hop):
return _rtype_template(hop, 'add')
rtype_inplace_add = rtype_add
def rtype_add_ovf(_, hop):
func = 'add_ovf'
if hop.r_result.opprefix == 'int_':
if hop.args_s[1].nonneg:
func = 'add_nonneg_ovf'
elif hop.args_s[0].nonneg:
hop = hop.copy()
hop.swap_fst_snd_args()
func = 'add_nonneg_ovf'
return _rtype_template(hop, func)
def rtype_sub(_, hop):
return _rtype_template(hop, 'sub')
rtype_inplace_sub = rtype_sub
def rtype_sub_ovf(_, hop):
return _rtype_template(hop, 'sub_ovf')
def rtype_mul(_, hop):
return _rtype_template(hop, 'mul')
rtype_inplace_mul = rtype_mul
def rtype_mul_ovf(_, hop):
return _rtype_template(hop, 'mul_ovf')
def rtype_floordiv(_, hop):
return _rtype_call_helper(hop, 'py_div', [ZeroDivisionError])
rtype_inplace_floordiv = rtype_floordiv
def rtype_floordiv_ovf(_, hop):
return _rtype_call_helper(hop, 'py_div_ovf', [ZeroDivisionError])
# turn 'div' on integers into 'floordiv'
rtype_div = rtype_floordiv
rtype_inplace_div = rtype_inplace_floordiv
rtype_div_ovf = rtype_floordiv_ovf
# 'def rtype_truediv' is delegated to the superclass FloatRepr
def rtype_mod(_, hop):
return _rtype_call_helper(hop, 'py_mod', [ZeroDivisionError])
rtype_inplace_mod = rtype_mod
def rtype_mod_ovf(_, hop):
return _rtype_call_helper(hop, 'py_mod_ovf', [ZeroDivisionError])
def rtype_xor(_, hop):
return _rtype_template(hop, 'xor')
rtype_inplace_xor = rtype_xor
def rtype_and_(_, hop):
return _rtype_template(hop, 'and')
rtype_inplace_and = rtype_and_
def rtype_or_(_, hop):
return _rtype_template(hop, 'or')
rtype_inplace_or = rtype_or_
def rtype_lshift(_, hop):
return _rtype_template(hop, 'lshift')
rtype_inplace_lshift = rtype_lshift
def rtype_lshift_ovf(_, hop):
return _rtype_call_helper(hop, 'lshift_ovf')
def rtype_rshift(_, hop):
return _rtype_template(hop, 'rshift')
rtype_inplace_rshift = rtype_rshift
#comparisons: eq is_ ne lt le gt ge
def rtype_eq(_, hop):
return _rtype_compare_template(hop, 'eq')
rtype_is_ = rtype_eq
def rtype_ne(_, hop):
return _rtype_compare_template(hop, 'ne')
def rtype_lt(_, hop):
return _rtype_compare_template(hop, 'lt')
def rtype_le(_, hop):
return _rtype_compare_template(hop, 'le')
def rtype_gt(_, hop):
return _rtype_compare_template(hop, 'gt')
def rtype_ge(_, hop):
return _rtype_compare_template(hop, 'ge')
#Helper functions
def _rtype_template(hop, func):
"""Write a simple operation implementing the given 'func'.
It must be an operation that cannot raise.
"""
r_result = hop.r_result
if r_result.lowleveltype == Bool:
repr = signed_repr
else:
repr = r_result
if func.startswith(('lshift', 'rshift')):
repr2 = signed_repr
else:
repr2 = repr
vlist = hop.inputargs(repr, repr2)
prefix = repr.opprefix
if '_ovf' in func or func.startswith(('py_mod', 'py_div')):
if prefix+func not in ('int_add_ovf', 'int_add_nonneg_ovf',
'int_sub_ovf', 'int_mul_ovf'):
raise TyperError("%r should not be used here any more" % (func,))
hop.has_implicit_exception(OverflowError)
hop.exception_is_here()
else:
hop.exception_cannot_occur()
v_res = hop.genop(prefix+func, vlist, resulttype=repr)
v_res = hop.llops.convertvar(v_res, repr, r_result)
return v_res
def _rtype_call_helper(hop, func, implicit_excs=[]):
"""Write a call to a helper implementing the given 'func'.
It can raise OverflowError if 'func' ends with '_ovf'.
Other possible exceptions can be specified in 'implicit_excs'.
"""
any_implicit_exception = False
if func.endswith('_ovf'):
if hop.s_result.unsigned:
raise TyperError("forbidden unsigned " + func)
else:
hop.has_implicit_exception(OverflowError)
any_implicit_exception = True
for implicit_exc in implicit_excs:
if hop.has_implicit_exception(implicit_exc):
appendix = op_appendices[implicit_exc]
func += '_' + appendix
any_implicit_exception = True
if not any_implicit_exception:
if not func.startswith(('py_mod', 'py_div')):
return _rtype_template(hop, func)
repr = hop.r_result
assert repr.lowleveltype != Bool
if func in ('abs_ovf', 'neg_ovf'):
vlist = hop.inputargs(repr)
else:
if func.startswith(('lshift', 'rshift')):
vlist = hop.inputargs(repr, signed_repr)
else:
vlist = hop.inputargs(repr, repr)
if any_implicit_exception:
hop.exception_is_here()
else:
hop.exception_cannot_occur()
funcname = 'll_' + repr.opprefix + func
llfunc = globals()[funcname]
if all(s_arg.nonneg for s_arg in hop.args_s):
llfunc = globals().get(funcname + '_nonnegargs', llfunc)
v_result = hop.gendirectcall(llfunc, *vlist)
assert v_result.concretetype == repr.lowleveltype
return v_result
INT_BITS_1 = r_int.BITS - 1
LLONG_BITS_1 = r_longlong.BITS - 1
LLLONG_BITS_1 = r_longlonglong.BITS - 1
INT_MIN = int(-(1 << INT_BITS_1))
# ---------- floordiv ----------
@jit.oopspec("int.py_div(x, y)")
def ll_int_py_div(x, y):
# Python, and RPython, assume that integer division truncates
# towards -infinity. However, in C, integer division truncates
# towards 0. So assuming that, we need to apply a correction
# in the right cases.
r = llop.int_floordiv(Signed, x, y) # <= truncates like in C
p = r * y
if y < 0: u = p - x
else: u = x - p
return r + (u >> INT_BITS_1)
@jit.oopspec("int.py_div(x, y)")
def ll_int_py_div_nonnegargs(x, y):
from rpython.rlib.debug import ll_assert
r = llop.int_floordiv(Signed, x, y) # <= truncates like in C
ll_assert(r >= 0, "int_py_div_nonnegargs(): one arg is negative")
return r
def ll_int_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("integer division")
return ll_int_py_div(x, y)
def ll_int_py_div_ovf(x, y):
# JIT: intentionally not short-circuited to produce only one guard
# and to remove the check fully if one of the arguments is known
if (x == -sys.maxint - 1) & (y == -1):
raise OverflowError("integer division")
return ll_int_py_div(x, y)
def ll_int_py_div_ovf_zer(x, y):
if y == 0:
raise ZeroDivisionError("integer division")
return ll_int_py_div_ovf(x, y)
@jit.oopspec("int.udiv(x, y)")
def ll_uint_py_div(x, y):
return llop.uint_floordiv(Unsigned, x, y)
def ll_uint_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("unsigned integer division")
return ll_uint_py_div(x, y)
if SignedLongLong == Signed:
ll_llong_py_div = ll_int_py_div
ll_llong_py_div_zer = ll_int_py_div_zer
ll_ullong_py_div = ll_uint_py_div
ll_ullong_py_div_zer = ll_uint_py_div_zer
else:
@jit.dont_look_inside
def ll_llong_py_div(x, y):
r = llop.llong_floordiv(SignedLongLong, x, y) # <= truncates like in C
p = r * y
if y < 0: u = p - x
else: u = x - p
return r + (u >> LLONG_BITS_1)
def ll_llong_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("longlong division")
return ll_llong_py_div(x, y)
@jit.dont_look_inside
def ll_ullong_py_div(x, y):
return llop.ullong_floordiv(UnsignedLongLong, x, y)
def ll_ullong_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("unsigned longlong division")
return ll_ullong_py_div(x, y)
@jit.dont_look_inside
def ll_lllong_py_div(x, y):
r = llop.lllong_floordiv(SignedLongLongLong, x, y) # <= truncates like in C
p = r * y
if y < 0: u = p - x
else: u = x - p
return r + (u >> LLLONG_BITS_1)
def ll_lllong_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("longlonglong division")
return ll_lllong_py_div(x, y)
@jit.dont_look_inside
def ll_ulllong_py_div(x, y):
return llop.ulllong_floordiv(UnsignedLongLongLong, x, y)
def ll_ulllong_py_div_zer(x, y):
if y == 0:
raise ZeroDivisionError("unsigned longlonglong division")
return ll_ulllong_py_div(x, y)
# ---------- mod ----------
@jit.oopspec("int.py_mod(x, y)")
def ll_int_py_mod(x, y):
r = llop.int_mod(Signed, x, y) # <= truncates like in C
if y < 0: u = -r
else: u = r
return r + (y & (u >> INT_BITS_1))
@jit.oopspec("int.py_mod(x, y)")
def ll_int_py_mod_nonnegargs(x, y):
from rpython.rlib.debug import ll_assert
r = llop.int_mod(Signed, x, y) # <= truncates like in C
ll_assert(r >= 0, "int_py_mod_nonnegargs(): one arg is negative")
return r
def ll_int_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_int_py_mod(x, y)
def ll_int_py_mod_ovf(x, y):
# see comment in ll_int_py_div_ovf
if (x == -sys.maxint - 1) & (y == -1):
raise OverflowError
return ll_int_py_mod(x, y)
def ll_int_py_mod_ovf_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_int_py_mod_ovf(x, y)
@jit.oopspec("int.umod(x, y)")
def ll_uint_py_mod(x, y):
return llop.uint_mod(Unsigned, x, y)
def ll_uint_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_uint_py_mod(x, y)
if SignedLongLong == Signed:
ll_llong_py_mod = ll_int_py_mod
ll_llong_py_mod_zer = ll_int_py_mod_zer
ll_ullong_py_mod = ll_uint_py_mod
ll_ullong_py_mod_zer = ll_uint_py_mod_zer
else:
@jit.dont_look_inside
def ll_llong_py_mod(x, y):
r = llop.llong_mod(SignedLongLong, x, y) # <= truncates like in C
if y < 0: u = -r
else: u = r
return r + (y & (u >> LLONG_BITS_1))
def ll_llong_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_llong_py_mod(x, y)
@jit.dont_look_inside
def ll_ullong_py_mod(x, y):
return llop.ullong_mod(UnsignedLongLong, x, y)
def ll_ullong_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_ullong_py_mod(x, y)
@jit.dont_look_inside
def ll_lllong_py_mod(x, y):
r = llop.lllong_mod(SignedLongLongLong, x, y) # <= truncates like in C
if y < 0: u = -r
else: u = r
return r + (y & (u >> LLLONG_BITS_1))
def ll_lllong_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_lllong_py_mod(x, y)
@jit.dont_look_inside
def ll_ulllong_py_mod(x, y):
return llop.ulllong_mod(UnsignedLongLongLong, x, y)
def ll_ulllong_py_mod_zer(x, y):
if y == 0:
raise ZeroDivisionError
return ll_ulllong_py_mod(x, y)
# ---------- lshift, neg, abs ----------
def ll_int_lshift_ovf(x, y):
result = x << y
if (result >> y) != x:
raise OverflowError("x<<y loosing bits or changing sign")
return result
@jit.oopspec("int.neg_ovf(x)")
def ll_int_neg_ovf(x):
if x == INT_MIN:
raise OverflowError
return -x
def ll_int_abs_ovf(x):
if x == INT_MIN:
raise OverflowError
return abs(x)
#Helper functions for comparisons
def _rtype_compare_template(hop, func):
s_int1, s_int2 = hop.args_s
if s_int1.unsigned or s_int2.unsigned:
if not s_int1.nonneg or not s_int2.nonneg:
raise TyperError("comparing a signed and an unsigned number")
repr = hop.rtyper.getrepr(annmodel.unionof(s_int1, s_int2)).as_int
vlist = hop.inputargs(repr, repr)
hop.exception_is_here()
return hop.genop(repr.opprefix + func, vlist, resulttype=Bool)
#
def ll_hash_int(n):
return intmask(n)
def ll_hash_long_long(n):
return intmask(intmask(n) + 9 * intmask(n >> 32))
def ll_eq_shortint(n, m):
return intmask(n) == intmask(m)
ll_eq_shortint.no_direct_compare = True
def ll_check_chr(n):
if 0 <= n <= 255:
return
else:
raise ValueError
def ll_check_unichr(n):
from rpython.rlib.runicode import MAXUNICODE
if 0 <= n <= MAXUNICODE:
return
else:
raise ValueError
#
# _________________________ Conversions _________________________
class __extend__(pairtype(IntegerRepr, FloatRepr)):
def convert_from_to((r_from, r_to), v, llops):
if r_from.lowleveltype == Unsigned and r_to.lowleveltype == Float:
log.debug('explicit cast_uint_to_float')
return llops.genop('cast_uint_to_float', [v], resulttype=Float)
if r_from.lowleveltype == Signed and r_to.lowleveltype == Float:
log.debug('explicit cast_int_to_float')
return llops.genop('cast_int_to_float', [v], resulttype=Float)
if r_from.lowleveltype == SignedLongLong and r_to.lowleveltype == Float:
log.debug('explicit cast_longlong_to_float')
return llops.genop('cast_longlong_to_float', [v], resulttype=Float)
if r_from.lowleveltype == UnsignedLongLong and r_to.lowleveltype == Float:
log.debug('explicit cast_ulonglong_to_float')
return llops.genop('cast_ulonglong_to_float', [v], resulttype=Float)
return NotImplemented
class __extend__(pairtype(FloatRepr, IntegerRepr)):
def convert_from_to((r_from, r_to), v, llops):
if r_from.lowleveltype == Float and r_to.lowleveltype == Unsigned:
log.debug('explicit cast_float_to_uint')
return llops.genop('cast_float_to_uint', [v], resulttype=Unsigned)
if r_from.lowleveltype == Float and r_to.lowleveltype == Signed:
log.debug('explicit cast_float_to_int')
return llops.genop('cast_float_to_int', [v], resulttype=Signed)
if r_from.lowleveltype == Float and r_to.lowleveltype == SignedLongLong:
log.debug('explicit cast_float_to_longlong')
return llops.genop('cast_float_to_longlong', [v], resulttype=SignedLongLong)
if r_from.lowleveltype == Float and r_to.lowleveltype == UnsignedLongLong:
log.debug('explicit cast_float_to_ulonglong')
return llops.genop('cast_float_to_ulonglong', [v], resulttype=UnsignedLongLong)
return NotImplemented