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submodule
rapidjson
Commits
74b81fa5
Commit
74b81fa5
authored
Sep 16, 2014
by
Milo Yip
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Extract classes into various files.
parent
4f99e25b
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4 changed files
with
84 additions
and
495 deletions
+84
-495
diyfp.h
include/rapidjson/internal/diyfp.h
+0
-0
dtoa.h
include/rapidjson/internal/dtoa.h
+1
-194
ieee754.h
include/rapidjson/internal/ieee754.h
+81
-0
strtod.h
include/rapidjson/internal/strtod.h
+2
-301
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include/rapidjson/internal/diyfp.h
0 → 100644
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74b81fa5
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include/rapidjson/internal/dtoa.h
View file @
74b81fa5
...
...
@@ -25,14 +25,8 @@
#ifndef RAPIDJSON_DTOA_
#define RAPIDJSON_DTOA_
#if defined(_MSC_VER)
#include <intrin.h>
#if defined(_M_AMD64)
#pragma intrinsic(_BitScanReverse64)
#endif
#endif
#include "itoa.h" // GetDigitsLut()
#include "diyfp.h"
namespace
rapidjson
{
namespace
internal
{
...
...
@@ -42,193 +36,6 @@ RAPIDJSON_DIAG_PUSH
RAPIDJSON_DIAG_OFF
(
effc
++
)
#endif
struct
DiyFp
{
DiyFp
()
{}
DiyFp
(
uint64_t
f
,
int
e
)
:
f
(
f
),
e
(
e
)
{}
DiyFp
(
double
d
)
{
union
{
double
d
;
uint64_t
u64
;
}
u
=
{
d
};
int
biased_e
=
(
u
.
u64
&
kDpExponentMask
)
>>
kDpSignificandSize
;
uint64_t
significand
=
(
u
.
u64
&
kDpSignificandMask
);
if
(
biased_e
!=
0
)
{
f
=
significand
+
kDpHiddenBit
;
e
=
biased_e
-
kDpExponentBias
;
}
else
{
f
=
significand
;
e
=
kDpMinExponent
+
1
;
}
}
DiyFp
operator
-
(
const
DiyFp
&
rhs
)
const
{
return
DiyFp
(
f
-
rhs
.
f
,
e
);
}
DiyFp
operator
*
(
const
DiyFp
&
rhs
)
const
{
#if defined(_MSC_VER) && defined(_M_AMD64)
uint64_t
h
;
uint64_t
l
=
_umul128
(
f
,
rhs
.
f
,
&
h
);
if
(
l
&
(
uint64_t
(
1
)
<<
63
))
// rounding
h
++
;
return
DiyFp
(
h
,
e
+
rhs
.
e
+
64
);
#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__)
unsigned
__int128
p
=
static_cast
<
unsigned
__int128
>
(
f
)
*
static_cast
<
unsigned
__int128
>
(
rhs
.
f
);
uint64_t
h
=
p
>>
64
;
uint64_t
l
=
static_cast
<
uint64_t
>
(
p
);
if
(
l
&
(
uint64_t
(
1
)
<<
63
))
// rounding
h
++
;
return
DiyFp
(
h
,
e
+
rhs
.
e
+
64
);
#else
const
uint64_t
M32
=
0xFFFFFFFF
;
const
uint64_t
a
=
f
>>
32
;
const
uint64_t
b
=
f
&
M32
;
const
uint64_t
c
=
rhs
.
f
>>
32
;
const
uint64_t
d
=
rhs
.
f
&
M32
;
const
uint64_t
ac
=
a
*
c
;
const
uint64_t
bc
=
b
*
c
;
const
uint64_t
ad
=
a
*
d
;
const
uint64_t
bd
=
b
*
d
;
uint64_t
tmp
=
(
bd
>>
32
)
+
(
ad
&
M32
)
+
(
bc
&
M32
);
tmp
+=
1U
<<
31
;
/// mult_round
return
DiyFp
(
ac
+
(
ad
>>
32
)
+
(
bc
>>
32
)
+
(
tmp
>>
32
),
e
+
rhs
.
e
+
64
);
#endif
}
DiyFp
Normalize
()
const
{
#if defined(_MSC_VER) && defined(_M_AMD64)
unsigned
long
index
;
_BitScanReverse64
(
&
index
,
f
);
return
DiyFp
(
f
<<
(
63
-
index
),
e
-
(
63
-
index
));
#elif defined(__GNUC__)
int
s
=
__builtin_clzll
(
f
)
+
1
;
return
DiyFp
(
f
<<
s
,
e
-
s
);
#else
DiyFp
res
=
*
this
;
while
(
!
(
res
.
f
&
kDpHiddenBit
))
{
res
.
f
<<=
1
;
res
.
e
--
;
}
res
.
f
<<=
(
kDiySignificandSize
-
kDpSignificandSize
-
1
);
res
.
e
=
res
.
e
-
(
kDiySignificandSize
-
kDpSignificandSize
-
1
);
return
res
;
#endif
}
DiyFp
NormalizeBoundary
()
const
{
#if defined(_MSC_VER) && defined(_M_AMD64)
unsigned
long
index
;
_BitScanReverse64
(
&
index
,
f
);
return
DiyFp
(
f
<<
(
63
-
index
),
e
-
(
63
-
index
));
#else
DiyFp
res
=
*
this
;
while
(
!
(
res
.
f
&
(
kDpHiddenBit
<<
1
)))
{
res
.
f
<<=
1
;
res
.
e
--
;
}
res
.
f
<<=
(
kDiySignificandSize
-
kDpSignificandSize
-
2
);
res
.
e
=
res
.
e
-
(
kDiySignificandSize
-
kDpSignificandSize
-
2
);
return
res
;
#endif
}
void
NormalizedBoundaries
(
DiyFp
*
minus
,
DiyFp
*
plus
)
const
{
DiyFp
pl
=
DiyFp
((
f
<<
1
)
+
1
,
e
-
1
).
NormalizeBoundary
();
DiyFp
mi
=
(
f
==
kDpHiddenBit
)
?
DiyFp
((
f
<<
2
)
-
1
,
e
-
2
)
:
DiyFp
((
f
<<
1
)
-
1
,
e
-
1
);
mi
.
f
<<=
mi
.
e
-
pl
.
e
;
mi
.
e
=
pl
.
e
;
*
plus
=
pl
;
*
minus
=
mi
;
}
static
const
int
kDiySignificandSize
=
64
;
static
const
int
kDpSignificandSize
=
52
;
static
const
int
kDpExponentBias
=
0x3FF
+
kDpSignificandSize
;
static
const
int
kDpMinExponent
=
-
kDpExponentBias
;
static
const
uint64_t
kDpExponentMask
=
RAPIDJSON_UINT64_C2
(
0x7FF00000
,
0x00000000
);
static
const
uint64_t
kDpSignificandMask
=
RAPIDJSON_UINT64_C2
(
0x000FFFFF
,
0xFFFFFFFF
);
static
const
uint64_t
kDpHiddenBit
=
RAPIDJSON_UINT64_C2
(
0x00100000
,
0x00000000
);
uint64_t
f
;
int
e
;
};
inline
DiyFp
GetCachedPower
(
int
e
,
int
*
K
)
{
// 10^-348, 10^-340, ..., 10^340
static
const
uint64_t
kCachedPowers_F
[]
=
{
RAPIDJSON_UINT64_C2
(
0xfa8fd5a0
,
0x081c0288
),
RAPIDJSON_UINT64_C2
(
0xbaaee17f
,
0xa23ebf76
),
RAPIDJSON_UINT64_C2
(
0x8b16fb20
,
0x3055ac76
),
RAPIDJSON_UINT64_C2
(
0xcf42894a
,
0x5dce35ea
),
RAPIDJSON_UINT64_C2
(
0x9a6bb0aa
,
0x55653b2d
),
RAPIDJSON_UINT64_C2
(
0xe61acf03
,
0x3d1a45df
),
RAPIDJSON_UINT64_C2
(
0xab70fe17
,
0xc79ac6ca
),
RAPIDJSON_UINT64_C2
(
0xff77b1fc
,
0xbebcdc4f
),
RAPIDJSON_UINT64_C2
(
0xbe5691ef
,
0x416bd60c
),
RAPIDJSON_UINT64_C2
(
0x8dd01fad
,
0x907ffc3c
),
RAPIDJSON_UINT64_C2
(
0xd3515c28
,
0x31559a83
),
RAPIDJSON_UINT64_C2
(
0x9d71ac8f
,
0xada6c9b5
),
RAPIDJSON_UINT64_C2
(
0xea9c2277
,
0x23ee8bcb
),
RAPIDJSON_UINT64_C2
(
0xaecc4991
,
0x4078536d
),
RAPIDJSON_UINT64_C2
(
0x823c1279
,
0x5db6ce57
),
RAPIDJSON_UINT64_C2
(
0xc2109436
,
0x4dfb5637
),
RAPIDJSON_UINT64_C2
(
0x9096ea6f
,
0x3848984f
),
RAPIDJSON_UINT64_C2
(
0xd77485cb
,
0x25823ac7
),
RAPIDJSON_UINT64_C2
(
0xa086cfcd
,
0x97bf97f4
),
RAPIDJSON_UINT64_C2
(
0xef340a98
,
0x172aace5
),
RAPIDJSON_UINT64_C2
(
0xb23867fb
,
0x2a35b28e
),
RAPIDJSON_UINT64_C2
(
0x84c8d4df
,
0xd2c63f3b
),
RAPIDJSON_UINT64_C2
(
0xc5dd4427
,
0x1ad3cdba
),
RAPIDJSON_UINT64_C2
(
0x936b9fce
,
0xbb25c996
),
RAPIDJSON_UINT64_C2
(
0xdbac6c24
,
0x7d62a584
),
RAPIDJSON_UINT64_C2
(
0xa3ab6658
,
0x0d5fdaf6
),
RAPIDJSON_UINT64_C2
(
0xf3e2f893
,
0xdec3f126
),
RAPIDJSON_UINT64_C2
(
0xb5b5ada8
,
0xaaff80b8
),
RAPIDJSON_UINT64_C2
(
0x87625f05
,
0x6c7c4a8b
),
RAPIDJSON_UINT64_C2
(
0xc9bcff60
,
0x34c13053
),
RAPIDJSON_UINT64_C2
(
0x964e858c
,
0x91ba2655
),
RAPIDJSON_UINT64_C2
(
0xdff97724
,
0x70297ebd
),
RAPIDJSON_UINT64_C2
(
0xa6dfbd9f
,
0xb8e5b88f
),
RAPIDJSON_UINT64_C2
(
0xf8a95fcf
,
0x88747d94
),
RAPIDJSON_UINT64_C2
(
0xb9447093
,
0x8fa89bcf
),
RAPIDJSON_UINT64_C2
(
0x8a08f0f8
,
0xbf0f156b
),
RAPIDJSON_UINT64_C2
(
0xcdb02555
,
0x653131b6
),
RAPIDJSON_UINT64_C2
(
0x993fe2c6
,
0xd07b7fac
),
RAPIDJSON_UINT64_C2
(
0xe45c10c4
,
0x2a2b3b06
),
RAPIDJSON_UINT64_C2
(
0xaa242499
,
0x697392d3
),
RAPIDJSON_UINT64_C2
(
0xfd87b5f2
,
0x8300ca0e
),
RAPIDJSON_UINT64_C2
(
0xbce50864
,
0x92111aeb
),
RAPIDJSON_UINT64_C2
(
0x8cbccc09
,
0x6f5088cc
),
RAPIDJSON_UINT64_C2
(
0xd1b71758
,
0xe219652c
),
RAPIDJSON_UINT64_C2
(
0x9c400000
,
0x00000000
),
RAPIDJSON_UINT64_C2
(
0xe8d4a510
,
0x00000000
),
RAPIDJSON_UINT64_C2
(
0xad78ebc5
,
0xac620000
),
RAPIDJSON_UINT64_C2
(
0x813f3978
,
0xf8940984
),
RAPIDJSON_UINT64_C2
(
0xc097ce7b
,
0xc90715b3
),
RAPIDJSON_UINT64_C2
(
0x8f7e32ce
,
0x7bea5c70
),
RAPIDJSON_UINT64_C2
(
0xd5d238a4
,
0xabe98068
),
RAPIDJSON_UINT64_C2
(
0x9f4f2726
,
0x179a2245
),
RAPIDJSON_UINT64_C2
(
0xed63a231
,
0xd4c4fb27
),
RAPIDJSON_UINT64_C2
(
0xb0de6538
,
0x8cc8ada8
),
RAPIDJSON_UINT64_C2
(
0x83c7088e
,
0x1aab65db
),
RAPIDJSON_UINT64_C2
(
0xc45d1df9
,
0x42711d9a
),
RAPIDJSON_UINT64_C2
(
0x924d692c
,
0xa61be758
),
RAPIDJSON_UINT64_C2
(
0xda01ee64
,
0x1a708dea
),
RAPIDJSON_UINT64_C2
(
0xa26da399
,
0x9aef774a
),
RAPIDJSON_UINT64_C2
(
0xf209787b
,
0xb47d6b85
),
RAPIDJSON_UINT64_C2
(
0xb454e4a1
,
0x79dd1877
),
RAPIDJSON_UINT64_C2
(
0x865b8692
,
0x5b9bc5c2
),
RAPIDJSON_UINT64_C2
(
0xc83553c5
,
0xc8965d3d
),
RAPIDJSON_UINT64_C2
(
0x952ab45c
,
0xfa97a0b3
),
RAPIDJSON_UINT64_C2
(
0xde469fbd
,
0x99a05fe3
),
RAPIDJSON_UINT64_C2
(
0xa59bc234
,
0xdb398c25
),
RAPIDJSON_UINT64_C2
(
0xf6c69a72
,
0xa3989f5c
),
RAPIDJSON_UINT64_C2
(
0xb7dcbf53
,
0x54e9bece
),
RAPIDJSON_UINT64_C2
(
0x88fcf317
,
0xf22241e2
),
RAPIDJSON_UINT64_C2
(
0xcc20ce9b
,
0xd35c78a5
),
RAPIDJSON_UINT64_C2
(
0x98165af3
,
0x7b2153df
),
RAPIDJSON_UINT64_C2
(
0xe2a0b5dc
,
0x971f303a
),
RAPIDJSON_UINT64_C2
(
0xa8d9d153
,
0x5ce3b396
),
RAPIDJSON_UINT64_C2
(
0xfb9b7cd9
,
0xa4a7443c
),
RAPIDJSON_UINT64_C2
(
0xbb764c4c
,
0xa7a44410
),
RAPIDJSON_UINT64_C2
(
0x8bab8eef
,
0xb6409c1a
),
RAPIDJSON_UINT64_C2
(
0xd01fef10
,
0xa657842c
),
RAPIDJSON_UINT64_C2
(
0x9b10a4e5
,
0xe9913129
),
RAPIDJSON_UINT64_C2
(
0xe7109bfb
,
0xa19c0c9d
),
RAPIDJSON_UINT64_C2
(
0xac2820d9
,
0x623bf429
),
RAPIDJSON_UINT64_C2
(
0x80444b5e
,
0x7aa7cf85
),
RAPIDJSON_UINT64_C2
(
0xbf21e440
,
0x03acdd2d
),
RAPIDJSON_UINT64_C2
(
0x8e679c2f
,
0x5e44ff8f
),
RAPIDJSON_UINT64_C2
(
0xd433179d
,
0x9c8cb841
),
RAPIDJSON_UINT64_C2
(
0x9e19db92
,
0xb4e31ba9
),
RAPIDJSON_UINT64_C2
(
0xeb96bf6e
,
0xbadf77d9
),
RAPIDJSON_UINT64_C2
(
0xaf87023b
,
0x9bf0ee6b
)
};
static
const
int16_t
kCachedPowers_E
[]
=
{
-
1220
,
-
1193
,
-
1166
,
-
1140
,
-
1113
,
-
1087
,
-
1060
,
-
1034
,
-
1007
,
-
980
,
-
954
,
-
927
,
-
901
,
-
874
,
-
847
,
-
821
,
-
794
,
-
768
,
-
741
,
-
715
,
-
688
,
-
661
,
-
635
,
-
608
,
-
582
,
-
555
,
-
529
,
-
502
,
-
475
,
-
449
,
-
422
,
-
396
,
-
369
,
-
343
,
-
316
,
-
289
,
-
263
,
-
236
,
-
210
,
-
183
,
-
157
,
-
130
,
-
103
,
-
77
,
-
50
,
-
24
,
3
,
30
,
56
,
83
,
109
,
136
,
162
,
189
,
216
,
242
,
269
,
295
,
322
,
348
,
375
,
402
,
428
,
455
,
481
,
508
,
534
,
561
,
588
,
614
,
641
,
667
,
694
,
720
,
747
,
774
,
800
,
827
,
853
,
880
,
907
,
933
,
960
,
986
,
1013
,
1039
,
1066
};
//int k = static_cast<int>(ceil((-61 - e) * 0.30102999566398114)) + 374;
double
dk
=
(
-
61
-
e
)
*
0
.
30102999566398114
+
347
;
// dk must be positive, so can do ceiling in positive
int
k
=
static_cast
<
int
>
(
dk
);
if
(
k
!=
dk
)
k
++
;
unsigned
index
=
static_cast
<
unsigned
>
((
k
>>
3
)
+
1
);
*
K
=
-
(
-
348
+
static_cast
<
int
>
(
index
<<
3
));
// decimal exponent no need lookup table
return
DiyFp
(
kCachedPowers_F
[
index
],
kCachedPowers_E
[
index
]);
}
inline
void
GrisuRound
(
char
*
buffer
,
int
len
,
uint64_t
delta
,
uint64_t
rest
,
uint64_t
ten_kappa
,
uint64_t
wp_w
)
{
while
(
rest
<
wp_w
&&
delta
-
rest
>=
ten_kappa
&&
(
rest
+
ten_kappa
<
wp_w
||
/// closer
...
...
include/rapidjson/internal/ieee754.h
0 → 100644
View file @
74b81fa5
// Copyright (C) 2011 Milo Yip
//
// 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.
#ifndef RAPIDJSON_IEEE754_
#define RAPIDJSON_IEEE754_
#include "../rapidjson.h"
namespace
rapidjson
{
namespace
internal
{
class
Double
{
public
:
Double
()
{}
Double
(
double
d
)
:
d
(
d
)
{}
Double
(
uint64_t
u
)
:
u
(
u
)
{}
double
Value
()
const
{
return
d
;
}
uint64_t
Uint64Value
()
const
{
return
u
;
}
double
NextPositiveDouble
()
const
{
RAPIDJSON_ASSERT
(
!
Sign
());
return
Double
(
u
+
1
).
Value
();
}
double
PreviousPositiveDouble
()
const
{
RAPIDJSON_ASSERT
(
!
Sign
());
if
(
d
==
0
.
0
)
return
0
.
0
;
else
return
Double
(
u
-
1
).
Value
();
}
bool
Sign
()
const
{
return
(
u
&
kSignMask
)
!=
0
;
}
uint64_t
Significand
()
const
{
return
u
&
kSignificandMask
;
}
int
Exponent
()
const
{
return
((
u
&
kExponentMask
)
>>
kSignificandSize
)
-
kExponentBias
;
}
bool
IsNan
()
const
{
return
(
u
&
kExponentMask
)
==
kExponentMask
&&
Significand
()
!=
0
;
}
bool
IsInf
()
const
{
return
(
u
&
kExponentMask
)
==
kExponentMask
&&
Significand
()
==
0
;
}
bool
IsNormal
()
const
{
return
(
u
&
kExponentMask
)
!=
0
||
Significand
()
==
0
;
}
uint64_t
IntegerSignificand
()
const
{
return
IsNormal
()
?
Significand
()
|
kHiddenBit
:
Significand
();
}
int
IntegerExponent
()
const
{
return
(
IsNormal
()
?
Exponent
()
:
kDenormalExponent
)
-
kSignificandSize
;
}
uint64_t
ToBias
()
const
{
return
(
u
&
kSignMask
)
?
~
u
+
1
:
u
|
kSignMask
;
}
private
:
static
const
int
kSignificandSize
=
52
;
static
const
int
kExponentBias
=
0x3FF
;
static
const
int
kDenormalExponent
=
1
-
kExponentBias
;
static
const
uint64_t
kSignMask
=
RAPIDJSON_UINT64_C2
(
0x80000000
,
0x00000000
);
static
const
uint64_t
kExponentMask
=
RAPIDJSON_UINT64_C2
(
0x7FF00000
,
0x00000000
);
static
const
uint64_t
kSignificandMask
=
RAPIDJSON_UINT64_C2
(
0x000FFFFF
,
0xFFFFFFFF
);
static
const
uint64_t
kHiddenBit
=
RAPIDJSON_UINT64_C2
(
0x00100000
,
0x00000000
);
union
{
double
d
;
uint64_t
u
;
};
};
}
// namespace internal
}
// namespace rapidjson
#endif // RAPIDJSON_IEEE754_
include/rapidjson/internal/strtod.h
View file @
74b81fa5
...
...
@@ -22,312 +22,13 @@
#define RAPIDJSON_STRTOD_
#include "../rapidjson.h"
#include "ieee754.h"
#include "biginteger.h"
#include "pow10.h"
namespace
rapidjson
{
namespace
internal
{
class
Double
{
public
:
Double
()
{}
Double
(
double
d
)
:
d
(
d
)
{}
Double
(
uint64_t
u
)
:
u
(
u
)
{}
double
Value
()
const
{
return
d
;
}
uint64_t
Uint64Value
()
const
{
return
u
;
}
double
NextPositiveDouble
()
const
{
RAPIDJSON_ASSERT
(
!
Sign
());
return
Double
(
u
+
1
).
Value
();
}
double
PreviousPositiveDouble
()
const
{
RAPIDJSON_ASSERT
(
!
Sign
());
if
(
d
==
0
.
0
)
return
0
.
0
;
else
return
Double
(
u
-
1
).
Value
();
}
bool
Sign
()
const
{
return
(
u
&
kSignMask
)
!=
0
;
}
uint64_t
Significand
()
const
{
return
u
&
kSignificandMask
;
}
int
Exponent
()
const
{
return
((
u
&
kExponentMask
)
>>
kSignificandSize
)
-
kExponentBias
;
}
bool
IsNan
()
const
{
return
(
u
&
kExponentMask
)
==
kExponentMask
&&
Significand
()
!=
0
;
}
bool
IsInf
()
const
{
return
(
u
&
kExponentMask
)
==
kExponentMask
&&
Significand
()
==
0
;
}
bool
IsNormal
()
const
{
return
(
u
&
kExponentMask
)
!=
0
||
Significand
()
==
0
;
}
uint64_t
IntegerSignificand
()
const
{
return
IsNormal
()
?
Significand
()
|
kHiddenBit
:
Significand
();
}
int
IntegerExponent
()
const
{
return
(
IsNormal
()
?
Exponent
()
:
kDenormalExponent
)
-
kSignificandSize
;
}
uint64_t
ToBias
()
const
{
return
(
u
&
kSignMask
)
?
~
u
+
1
:
u
|
kSignMask
;
}
private
:
static
const
int
kSignificandSize
=
52
;
static
const
int
kExponentBias
=
0x3FF
;
static
const
int
kDenormalExponent
=
1
-
kExponentBias
;
static
const
uint64_t
kSignMask
=
RAPIDJSON_UINT64_C2
(
0x80000000
,
0x00000000
);
static
const
uint64_t
kExponentMask
=
RAPIDJSON_UINT64_C2
(
0x7FF00000
,
0x00000000
);
static
const
uint64_t
kSignificandMask
=
RAPIDJSON_UINT64_C2
(
0x000FFFFF
,
0xFFFFFFFF
);
static
const
uint64_t
kHiddenBit
=
RAPIDJSON_UINT64_C2
(
0x00100000
,
0x00000000
);
union
{
double
d
;
uint64_t
u
;
};
};
class
BigInteger
{
public
:
typedef
uint64_t
Type
;
explicit
BigInteger
(
uint64_t
u
)
:
count_
(
1
)
{
digits_
[
0
]
=
u
;
}
BigInteger
(
const
char
*
decimals
,
size_t
length
)
:
count_
(
1
)
{
RAPIDJSON_ASSERT
(
length
>
0
);
digits_
[
0
]
=
0
;
size_t
i
=
0
;
const
size_t
kMaxDigitPerIteration
=
19
;
// 2^64 = 18446744073709551616 > 10^19
while
(
length
>=
kMaxDigitPerIteration
)
{
AppendDecimal64
(
decimals
+
i
,
decimals
+
i
+
kMaxDigitPerIteration
);
length
-=
kMaxDigitPerIteration
;
i
+=
kMaxDigitPerIteration
;
}
if
(
length
>
0
)
AppendDecimal64
(
decimals
+
i
,
decimals
+
i
+
length
);
}
BigInteger
&
operator
=
(
uint64_t
u
)
{
digits_
[
0
]
=
u
;
count_
=
1
;
return
*
this
;
}
BigInteger
&
operator
+=
(
uint64_t
u
)
{
Type
backup
=
digits_
[
0
];
digits_
[
0
]
+=
u
;
for
(
size_t
i
=
0
;
i
<
count_
-
1
;
i
++
)
{
if
(
digits_
[
i
]
>=
backup
)
return
*
this
;
// no carry
backup
=
digits_
[
i
+
1
];
digits_
[
i
+
1
]
+=
1
;
}
// Last carry
if
(
digits_
[
count_
-
1
]
<
backup
)
PushBack
(
1
);
return
*
this
;
}
BigInteger
&
operator
*=
(
uint64_t
u
)
{
if
(
u
==
0
)
return
*
this
=
0
;
if
(
u
==
1
)
return
*
this
;
uint64_t
k
=
0
;
for
(
size_t
i
=
0
;
i
<
count_
;
i
++
)
{
uint64_t
hi
;
digits_
[
i
]
=
MulAdd64
(
digits_
[
i
],
u
,
k
,
&
hi
);
k
=
hi
;
}
if
(
k
>
0
)
PushBack
(
k
);
return
*
this
;
}
BigInteger
&
operator
*=
(
uint32_t
u
)
{
if
(
u
==
0
)
return
*
this
=
0
;
if
(
u
==
1
)
return
*
this
;
uint32_t
k
=
0
;
for
(
size_t
i
=
0
;
i
<
count_
;
i
++
)
{
const
uint64_t
c
=
digits_
[
i
]
>>
32
;
const
uint64_t
d
=
digits_
[
i
]
&
0xFFFFFFFF
;
const
uint64_t
uc
=
u
*
c
;
const
uint64_t
ud
=
u
*
d
;
const
uint64_t
p0
=
ud
+
k
;
const
uint64_t
p1
=
uc
+
(
p0
>>
32
);
digits_
[
i
]
=
(
p0
&
0xFFFFFFFF
)
|
(
p1
<<
32
);
k
=
p1
>>
32
;
}
if
(
k
>
0
)
PushBack
(
k
);
return
*
this
;
}
BigInteger
&
operator
<<=
(
size_t
shift
)
{
if
(
IsZero
())
return
*
this
;
if
(
shift
>=
kTypeBit
)
{
size_t
offset
=
shift
/
kTypeBit
;
RAPIDJSON_ASSERT
(
count_
+
offset
<=
kCapacity
);
for
(
size_t
i
=
count_
;
i
>
0
;
i
--
)
digits_
[
i
-
1
+
offset
]
=
digits_
[
i
-
1
];
for
(
size_t
i
=
0
;
i
<
offset
;
i
++
)
digits_
[
i
]
=
0
;
count_
+=
offset
;
shift
-=
offset
*
kTypeBit
;
}
if
(
shift
>
0
)
{
// Inter-digit shifts
Type
carry
=
0
;
for
(
size_t
i
=
0
;
i
<
count_
;
i
++
)
{
Type
newCarry
=
digits_
[
i
]
>>
(
kTypeBit
-
shift
);
digits_
[
i
]
=
(
digits_
[
i
]
<<
shift
)
|
carry
;
carry
=
newCarry
;
}
// Last carry
if
(
carry
)
PushBack
(
carry
);
}
return
*
this
;
}
bool
operator
==
(
const
BigInteger
&
rhs
)
const
{
return
count_
==
rhs
.
count_
&&
memcmp
(
digits_
,
rhs
.
digits_
,
count_
*
sizeof
(
Type
))
==
0
;
}
BigInteger
&
MultiplyPow5
(
unsigned
exp
)
{
static
const
uint32_t
kPow5
[
12
]
=
{
5
,
5
*
5
,
5
*
5
*
5
,
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
,
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
*
5
};
if
(
exp
==
0
)
return
*
this
;
unsigned
e
=
exp
;
for
(;
e
>=
27
;
e
-=
27
)
*
this
*=
RAPIDJSON_UINT64_C2
(
0X6765C793
,
0XFA10079D
);
// 5^27
for
(;
e
>=
13
;
e
-=
13
)
*
this
*=
1220703125u
;
// 5^13
if
(
e
>
0
)
*
this
*=
kPow5
[
e
-
1
];
return
*
this
;
}
// Compute absolute difference of this and rhs.
// Return false if this < rhs
bool
Difference
(
const
BigInteger
&
rhs
,
BigInteger
*
out
)
const
{
int
cmp
=
Compare
(
rhs
);
if
(
cmp
==
0
)
{
*
out
=
BigInteger
(
0
);
return
false
;
}
const
BigInteger
*
a
,
*
b
;
// Makes a > b
bool
ret
;
if
(
cmp
<
0
)
{
a
=
&
rhs
;
b
=
this
;
ret
=
true
;
}
else
{
a
=
this
;
b
=
&
rhs
;
ret
=
false
;
}
Type
borrow
=
0
;
for
(
size_t
i
=
0
;
i
<
a
->
count_
;
i
++
)
{
Type
d
=
a
->
digits_
[
i
]
-
borrow
;
if
(
i
<
b
->
count_
)
d
-=
b
->
digits_
[
i
];
borrow
=
(
d
>
a
->
digits_
[
i
])
?
1
:
0
;
out
->
digits_
[
i
]
=
d
;
if
(
d
!=
0
)
out
->
count_
=
i
+
1
;
}
return
ret
;
}
int
Compare
(
const
BigInteger
&
rhs
)
const
{
if
(
count_
!=
rhs
.
count_
)
return
count_
<
rhs
.
count_
?
-
1
:
1
;
for
(
size_t
i
=
count_
;
i
--
>
0
;)
if
(
digits_
[
i
]
!=
rhs
.
digits_
[
i
])
return
digits_
[
i
]
<
rhs
.
digits_
[
i
]
?
-
1
:
1
;
return
0
;
}
size_t
GetCount
()
const
{
return
count_
;
}
Type
GetDigit
(
size_t
index
)
const
{
RAPIDJSON_ASSERT
(
index
<
count_
);
return
digits_
[
index
];
}
bool
IsZero
()
const
{
return
count_
==
1
&&
digits_
[
0
]
==
0
;
}
private
:
void
AppendDecimal64
(
const
char
*
begin
,
const
char
*
end
)
{
uint64_t
u
=
ParseUint64
(
begin
,
end
);
if
(
IsZero
())
*
this
=
u
;
else
{
unsigned
exp
=
end
-
begin
;
(
MultiplyPow5
(
exp
)
<<=
exp
)
+=
u
;
// *this = *this * 10^exp + u
}
}
void
PushBack
(
Type
digit
)
{
RAPIDJSON_ASSERT
(
count_
<
kCapacity
);
digits_
[
count_
++
]
=
digit
;
}
static
uint64_t
ParseUint64
(
const
char
*
begin
,
const
char
*
end
)
{
uint64_t
r
=
0
;
for
(
const
char
*
p
=
begin
;
p
!=
end
;
++
p
)
{
RAPIDJSON_ASSERT
(
*
p
>=
'0'
&&
*
p
<=
'9'
);
r
=
r
*
10
+
(
*
p
-
'0'
);
}
return
r
;
}
// Assume a * b + k < 2^128
static
uint64_t
MulAdd64
(
uint64_t
a
,
uint64_t
b
,
uint64_t
k
,
uint64_t
*
outHigh
)
{
#if defined(_MSC_VER) && defined(_M_AMD64)
uint64_t
low
=
_umul128
(
a
,
b
,
outHigh
)
+
k
;
if
(
low
<
k
)
(
*
outHigh
)
++
;
return
low
;
#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__)
unsigned
__int128
p
=
static_cast
<
unsigned
__int128
>
(
a
)
*
static_cast
<
unsigned
__int128
>
(
b
);
p
+=
k
;
*
outHigh
=
p
>>
64
;
return
static_cast
<
uint64_t
>
(
p
);
#else
const
uint64_t
a0
=
a
&
0xFFFFFFFF
,
a1
=
a
>>
32
,
b0
=
b
&
0xFFFFFFFF
,
b1
=
b
>>
32
;
uint64_t
x0
=
a0
*
b0
,
x1
=
a0
*
b1
,
x2
=
a1
*
b0
,
x3
=
a1
*
b1
;
x1
+=
(
x0
>>
32
);
// can't give carry
x1
+=
x2
;
if
(
x1
<
x2
)
x3
+=
(
static_cast
<
uint64_t
>
(
1
)
<<
32
);
uint64_t
lo
=
(
x1
<<
32
)
+
(
x0
&
0xFFFFFFFF
);
uint64_t
hi
=
x3
+
(
x1
>>
32
);
lo
+=
k
;
if
(
lo
<
k
)
hi
++
;
*
outHigh
=
hi
;
return
lo
;
#endif
}
static
Type
FullAdd
(
Type
a
,
Type
b
,
bool
inCarry
,
bool
*
outCarry
)
{
Type
c
=
a
+
b
+
(
inCarry
?
1
:
0
);
*
outCarry
=
c
<
a
;
return
c
;
}
static
const
size_t
kBitCount
=
3328
;
// 64bit * 54 > 10^1000
static
const
size_t
kCapacity
=
kBitCount
/
sizeof
(
Type
);
static
const
size_t
kTypeBit
=
sizeof
(
Type
)
*
8
;
Type
digits_
[
kCapacity
];
size_t
count_
;
};
inline
double
StrtodFastPath
(
double
significand
,
int
exp
)
{
if
(
exp
<
-
308
)
return
0
.
0
;
...
...
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