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cached-powers.cc
Go to the documentation of this file.
1
// Copyright 2006-2008 the V8 project authors. All rights reserved.
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// Redistribution and use in source and binary forms, with or without
3
// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// * Redistributions in binary form must reproduce the above
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// copyright notice, this list of conditions and the following
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// disclaimer in the documentation and/or other materials provided
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// with the distribution.
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// * Neither the name of Google Inc. nor the names of its
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// contributors may be used to endorse or promote products derived
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// from this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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28
#include <climits>
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#include <cmath>
30
#include <cstdarg>
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32
#include "
utils.h
"
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34
#include "
cached-powers.h
"
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36
namespace
double_conversion
{
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38
namespace
PowersOfTenCache {
39
40
struct
CachedPower
{
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uint64_t
significand
;
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int16_t
binary_exponent
;
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int16_t
decimal_exponent
;
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};
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46
static
const
CachedPower
kCachedPowers
[] = {
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xfa8fd5a0, 081c0288), -1220, -348},
48
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xbaaee17f, a23ebf76), -1193, -340},
49
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8b16fb20, 3055ac76), -1166, -332},
50
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xcf42894a, 5dce35ea), -1140, -324},
51
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9a6bb0aa, 55653b2d), -1113, -316},
52
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xe61acf03, 3d1a45df), -1087, -308},
53
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xab70fe17, c79ac6ca), -1060, -300},
54
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xff77b1fc, bebcdc4f), -1034, -292},
55
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xbe5691ef, 416bd60c), -1007, -284},
56
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8dd01fad, 907ffc3c), -980, -276},
57
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd3515c28, 31559a83), -954, -268},
58
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9d71ac8f, ada6c9b5), -927, -260},
59
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xea9c2277, 23ee8bcb), -901, -252},
60
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xaecc4991, 4078536
d
), -874, -244},
61
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x823c1279, 5db6ce57), -847, -236},
62
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc2109436, 4dfb5637), -821, -228},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9096ea6f, 3848984f), -794, -220},
64
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd77485cb, 25823ac7), -768, -212},
65
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa086cfcd, 97bf97f4), -741, -204},
66
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xef340a98, 172aace5), -715, -196},
67
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb23867fb, 2a35b28e), -688, -188},
68
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x84c8d4df, d2c63f3b), -661, -180},
69
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc5dd4427, 1ad3cdba), -635, -172},
70
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x936b9fce, bb25c996), -608, -164},
71
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xdbac6c24, 7d62a584), -582, -156},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa3ab6658, 0d5fdaf6), -555, -148},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xf3e2f893, dec3f126), -529, -140},
74
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb5b5ada8, aaff80b8), -502, -132},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x87625f05, 6c7c4a8b), -475, -124},
76
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc9bcff60, 34c13053), -449, -116},
77
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x964e858c, 91ba2655), -422, -108},
78
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xdff97724, 70297ebd), -396, -100},
79
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa6dfbd9f, b8e5b88f), -369, -92},
80
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xf8a95fcf, 88747d94), -343, -84},
81
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb9447093, 8fa89bcf), -316, -76},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8a08f0f8, bf0f156b), -289, -68},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xcdb02555, 653131b6), -263, -60},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x993fe2c6, d07b7fac), -236, -52},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xe45c10c4, 2a2b3b06), -210, -44},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xaa242499, 697392d3), -183, -36},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xfd87b5f2, 8300ca0e), -157, -28},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xbce50864, 92111aeb), -130, -20},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8cbccc09, 6f5088cc), -103, -12},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd1b71758, e219652c), -77, -4},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9c400000, 00000000), -50, 4},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xe8d4a510, 00000000), -24, 12},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xad78ebc5, ac620000), 3, 20},
94
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x813f3978, f8940984), 30, 28},
95
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc097ce7b, c90715b3), 56, 36},
96
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8f7e32ce, 7bea5c70), 83, 44},
97
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd5d238a4, abe98068), 109, 52},
98
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9f4f2726, 179a2245), 136, 60},
99
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xed63a231, d4c4fb27), 162, 68},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb0de6538, 8cc8ada8), 189, 76},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x83c7088e, 1aab65db), 216, 84},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc45d1df9, 42711d9a), 242, 92},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x924d692c, a61be758), 269, 100},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xda01ee64, 1a708dea), 295, 108},
105
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa26da399, 9aef774a), 322, 116},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xf209787b, b47d6b85), 348, 124},
107
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb454e4a1, 79dd1877), 375, 132},
108
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x865b8692, 5b9bc5c2), 402, 140},
109
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xc83553c5, c8965d3d), 428, 148},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x952ab45c, fa97a0b3), 455, 156},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xde469fbd, 99a05fe3), 481, 164},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa59bc234, db398c25), 508, 172},
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{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xf6c69a72, a3989f5c), 534, 180},
114
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xb7dcbf53, 54e9bece), 561, 188},
115
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x88fcf317, f22241e2), 588, 196},
116
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xcc20ce9b, d35c78a5), 614, 204},
117
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x98165af3, 7b2153df), 641, 212},
118
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xe2a0b5dc, 971f303a), 667, 220},
119
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xa8d9d153, 5ce3b396), 694, 228},
120
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xfb9b7cd9, a4a7443c), 720, 236},
121
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xbb764c4c, a7a44410), 747, 244},
122
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8bab8eef, b6409c1a), 774, 252},
123
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd01fef10, a657842c), 800, 260},
124
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9b10a4e5, e9913129), 827, 268},
125
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xe7109bfb, a19c0c9d), 853, 276},
126
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xac2820d9, 623bf429), 880, 284},
127
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x80444b5e, 7aa7cf85), 907, 292},
128
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xbf21e440, 03acdd2d), 933, 300},
129
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x8e679c2f, 5e44ff8f), 960, 308},
130
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xd433179d, 9c8cb841), 986, 316},
131
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0x9e19db92, b4e31ba9), 1013, 324},
132
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xeb96bf6e, badf77d9), 1039, 332},
133
{
DOUBLE_CONVERSION_UINT64_2PART_C
(0xaf87023b, 9bf0ee6b), 1066, 340},
134
};
135
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static
const
int
kCachedPowersOffset
= 348;
// -1 * the first decimal_exponent.
137
static
const
double
kD_1_LOG2_10
= 0.30102999566398114;
// 1 / lg(10)
138
139
void
GetCachedPowerForBinaryExponentRange
(
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int
min_exponent,
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int
max_exponent,
142
DiyFp
* power,
143
int
* decimal_exponent) {
144
int
kQ =
DiyFp::kSignificandSize
;
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double
k = ceil((min_exponent + kQ - 1) *
kD_1_LOG2_10
);
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int
foo =
kCachedPowersOffset
;
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int
index =
148
(foo +
static_cast<
int
>
(k) - 1) /
kDecimalExponentDistance
+ 1;
149
DOUBLE_CONVERSION_ASSERT
(0 <= index && index <
static_cast<
int
>
(
DOUBLE_CONVERSION_ARRAY_SIZE
(
kCachedPowers
)));
150
CachedPower
cached_power =
kCachedPowers
[index];
151
DOUBLE_CONVERSION_ASSERT
(min_exponent <= cached_power.
binary_exponent
);
152
(void) max_exponent;
// Mark variable as used.
153
DOUBLE_CONVERSION_ASSERT
(cached_power.
binary_exponent
<= max_exponent);
154
*decimal_exponent = cached_power.
decimal_exponent
;
155
*power =
DiyFp
(cached_power.
significand
, cached_power.
binary_exponent
);
156
}
157
158
159
void
GetCachedPowerForDecimalExponent
(
int
requested_exponent,
160
DiyFp
* power,
161
int
* found_exponent) {
162
DOUBLE_CONVERSION_ASSERT
(
kMinDecimalExponent
<= requested_exponent);
163
DOUBLE_CONVERSION_ASSERT
(requested_exponent <
kMaxDecimalExponent
+
kDecimalExponentDistance
);
164
int
index =
165
(requested_exponent +
kCachedPowersOffset
) /
kDecimalExponentDistance
;
166
CachedPower
cached_power =
kCachedPowers
[index];
167
*power =
DiyFp
(cached_power.
significand
, cached_power.
binary_exponent
);
168
*found_exponent = cached_power.
decimal_exponent
;
169
DOUBLE_CONVERSION_ASSERT
(*found_exponent <= requested_exponent);
170
DOUBLE_CONVERSION_ASSERT
(requested_exponent < *found_exponent +
kDecimalExponentDistance
);
171
}
172
173
}
// namespace PowersOfTenCache
174
175
}
// namespace double_conversion
cached-powers.h
double_conversion::DiyFp
Definition
diy-fp.h:41
double_conversion::DiyFp::kSignificandSize
static const int kSignificandSize
Definition
diy-fp.h:43
d
VULKAN_HPP_DEFAULT_DISPATCH_LOADER_DYNAMIC_STORAGE auto & d
Definition
main.cc:19
double_conversion::PowersOfTenCache::kDecimalExponentDistance
static const int kDecimalExponentDistance
Definition
cached-powers.h:39
double_conversion::PowersOfTenCache::kMinDecimalExponent
static const int kMinDecimalExponent
Definition
cached-powers.h:41
double_conversion::PowersOfTenCache::kCachedPowers
static const CachedPower kCachedPowers[]
Definition
cached-powers.cc:46
double_conversion::PowersOfTenCache::GetCachedPowerForBinaryExponentRange
void GetCachedPowerForBinaryExponentRange(int min_exponent, int max_exponent, DiyFp *power, int *decimal_exponent)
Definition
cached-powers.cc:139
double_conversion::PowersOfTenCache::kCachedPowersOffset
static const int kCachedPowersOffset
Definition
cached-powers.cc:136
double_conversion::PowersOfTenCache::kD_1_LOG2_10
static const double kD_1_LOG2_10
Definition
cached-powers.cc:137
double_conversion::PowersOfTenCache::GetCachedPowerForDecimalExponent
void GetCachedPowerForDecimalExponent(int requested_exponent, DiyFp *power, int *found_exponent)
Definition
cached-powers.cc:159
double_conversion::PowersOfTenCache::kMaxDecimalExponent
static const int kMaxDecimalExponent
Definition
cached-powers.h:42
double_conversion
Definition
bignum-dtoa.cc:35
double_conversion::PowersOfTenCache::CachedPower
Definition
cached-powers.cc:40
double_conversion::PowersOfTenCache::CachedPower::significand
uint64_t significand
Definition
cached-powers.cc:41
double_conversion::PowersOfTenCache::CachedPower::decimal_exponent
int16_t decimal_exponent
Definition
cached-powers.cc:43
double_conversion::PowersOfTenCache::CachedPower::binary_exponent
int16_t binary_exponent
Definition
cached-powers.cc:42
utils.h
DOUBLE_CONVERSION_ASSERT
#define DOUBLE_CONVERSION_ASSERT(condition)
Definition
utils.h:46
DOUBLE_CONVERSION_UINT64_2PART_C
#define DOUBLE_CONVERSION_UINT64_2PART_C(a, b)
Definition
utils.h:195
DOUBLE_CONVERSION_ARRAY_SIZE
#define DOUBLE_CONVERSION_ARRAY_SIZE(a)
Definition
utils.h:205
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