Commit 74b81fa5 authored by Milo Yip's avatar Milo Yip

Extract classes into various files.

parent 4f99e25b
This diff is collapsed.
......@@ -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
......
// 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_
......@@ -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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