1 // Tencent is pleased to support the open source community by making RapidJSON available.
3 // Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
5 // Licensed under the MIT License (the "License"); you may not use this file except
6 // in compliance with the License. You may obtain a copy of the License at
8 // http://opensource.org/licenses/MIT
10 // Unless required by applicable law or agreed to in writing, software distributed
11 // under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
12 // CONDITIONS OF ANY KIND, either express or implied. See the License for the
13 // specific language governing permissions and limitations under the License.
15 // This is a C++ header-only implementation of Grisu2 algorithm from the publication:
16 // Loitsch, Florian. "Printing floating-point numbers quickly and accurately with
17 // integers." ACM Sigplan Notices 45.6 (2010): 233-243.
19 #ifndef RAPIDJSON_DTOA_
20 #define RAPIDJSON_DTOA_
22 #include "itoa.h" // GetDigitsLut()
26 RAPIDJSON_NAMESPACE_BEGIN
31 RAPIDJSON_DIAG_OFF(effc++)
32 RAPIDJSON_DIAG_OFF(array-bounds) // some gcc versions generate wrong warnings https://gcc.gnu.org/bugzilla/show_bug.cgi?id=59124
35 inline void GrisuRound(char* buffer, int len, uint64_t delta, uint64_t rest, uint64_t ten_kappa, uint64_t wp_w) {
36 while (rest < wp_w && delta - rest >= ten_kappa &&
37 (rest + ten_kappa < wp_w || /// closer
38 wp_w - rest > rest + ten_kappa - wp_w)) {
44 inline int CountDecimalDigit32(uint32_t n) {
45 // Simple pure C++ implementation was faster than __builtin_clz version in this situation.
47 if (n < 100) return 2;
48 if (n < 1000) return 3;
49 if (n < 10000) return 4;
50 if (n < 100000) return 5;
51 if (n < 1000000) return 6;
52 if (n < 10000000) return 7;
53 if (n < 100000000) return 8;
54 // Will not reach 10 digits in DigitGen()
55 //if (n < 1000000000) return 9;
60 inline void DigitGen(const DiyFp& W, const DiyFp& Mp, uint64_t delta, char* buffer, int* len, int* K) {
61 static const uint32_t kPow10[] = { 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000 };
62 const DiyFp one(uint64_t(1) << -Mp.e, Mp.e);
63 const DiyFp wp_w = Mp - W;
64 uint32_t p1 = static_cast<uint32_t>(Mp.f >> -one.e);
65 uint64_t p2 = Mp.f & (one.f - 1);
66 int kappa = CountDecimalDigit32(p1); // kappa in [0, 9]
72 case 9: d = p1 / 100000000; p1 %= 100000000; break;
73 case 8: d = p1 / 10000000; p1 %= 10000000; break;
74 case 7: d = p1 / 1000000; p1 %= 1000000; break;
75 case 6: d = p1 / 100000; p1 %= 100000; break;
76 case 5: d = p1 / 10000; p1 %= 10000; break;
77 case 4: d = p1 / 1000; p1 %= 1000; break;
78 case 3: d = p1 / 100; p1 %= 100; break;
79 case 2: d = p1 / 10; p1 %= 10; break;
80 case 1: d = p1; p1 = 0; break;
84 buffer[(*len)++] = static_cast<char>('0' + static_cast<char>(d));
86 uint64_t tmp = (static_cast<uint64_t>(p1) << -one.e) + p2;
89 GrisuRound(buffer, *len, delta, tmp, static_cast<uint64_t>(kPow10[kappa]) << -one.e, wp_w.f);
98 char d = static_cast<char>(p2 >> -one.e);
100 buffer[(*len)++] = static_cast<char>('0' + d);
106 GrisuRound(buffer, *len, delta, p2, one.f, wp_w.f * (index < 9 ? kPow10[index] : 0));
112 inline void Grisu2(double value, char* buffer, int* length, int* K) {
113 const DiyFp v(value);
115 v.NormalizedBoundaries(&w_m, &w_p);
117 const DiyFp c_mk = GetCachedPower(w_p.e, K);
118 const DiyFp W = v.Normalize() * c_mk;
119 DiyFp Wp = w_p * c_mk;
120 DiyFp Wm = w_m * c_mk;
123 DigitGen(W, Wp, Wp.f - Wm.f, buffer, length, K);
126 inline char* WriteExponent(int K, char* buffer) {
133 *buffer++ = static_cast<char>('0' + static_cast<char>(K / 100));
135 const char* d = GetDigitsLut() + K * 2;
140 const char* d = GetDigitsLut() + K * 2;
145 *buffer++ = static_cast<char>('0' + static_cast<char>(K));
150 inline char* Prettify(char* buffer, int length, int k, int maxDecimalPlaces) {
151 const int kk = length + k; // 10^(kk-1) <= v < 10^kk
153 if (0 <= k && kk <= 21) {
154 // 1234e7 -> 12340000000
155 for (int i = length; i < kk; i++)
158 buffer[kk + 1] = '0';
159 return &buffer[kk + 2];
161 else if (0 < kk && kk <= 21) {
163 std::memmove(&buffer[kk + 1], &buffer[kk], static_cast<size_t>(length - kk));
165 if (0 > k + maxDecimalPlaces) {
166 // When maxDecimalPlaces = 2, 1.2345 -> 1.23, 1.102 -> 1.1
167 // Remove extra trailing zeros (at least one) after truncation.
168 for (int i = kk + maxDecimalPlaces; i > kk + 1; i--)
169 if (buffer[i] != '0')
170 return &buffer[i + 1];
171 return &buffer[kk + 2]; // Reserve one zero
174 return &buffer[length + 1];
176 else if (-6 < kk && kk <= 0) {
177 // 1234e-6 -> 0.001234
178 const int offset = 2 - kk;
179 std::memmove(&buffer[offset], &buffer[0], static_cast<size_t>(length));
182 for (int i = 2; i < offset; i++)
184 if (length - kk > maxDecimalPlaces) {
185 // When maxDecimalPlaces = 2, 0.123 -> 0.12, 0.102 -> 0.1
186 // Remove extra trailing zeros (at least one) after truncation.
187 for (int i = maxDecimalPlaces + 1; i > 2; i--)
188 if (buffer[i] != '0')
189 return &buffer[i + 1];
190 return &buffer[3]; // Reserve one zero
193 return &buffer[length + offset];
195 else if (kk < -maxDecimalPlaces) {
202 else if (length == 1) {
205 return WriteExponent(kk - 1, &buffer[2]);
208 // 1234e30 -> 1.234e33
209 std::memmove(&buffer[2], &buffer[1], static_cast<size_t>(length - 1));
211 buffer[length + 1] = 'e';
212 return WriteExponent(kk - 1, &buffer[0 + length + 2]);
216 inline char* dtoa(double value, char* buffer, int maxDecimalPlaces = 324) {
217 RAPIDJSON_ASSERT(maxDecimalPlaces >= 1);
221 *buffer++ = '-'; // -0.0, Issue #289
233 Grisu2(value, buffer, &length, &K);
234 return Prettify(buffer, length, K, maxDecimalPlaces);
242 } // namespace internal
243 RAPIDJSON_NAMESPACE_END
245 #endif // RAPIDJSON_DTOA_