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1 | // © 2018 and later: Unicode, Inc. and others. | |
2 | // License & terms of use: http://www.unicode.org/copyright.html | |
3 | // | |
4 | // From the double-conversion library. Original license: | |
5 | // | |
6 | // Copyright 2006-2008 the V8 project authors. All rights reserved. | |
7 | // Redistribution and use in source and binary forms, with or without | |
8 | // modification, are permitted provided that the following conditions are | |
9 | // met: | |
10 | // | |
11 | // * Redistributions of source code must retain the above copyright | |
12 | // notice, this list of conditions and the following disclaimer. | |
13 | // * Redistributions in binary form must reproduce the above | |
14 | // copyright notice, this list of conditions and the following | |
15 | // disclaimer in the documentation and/or other materials provided | |
16 | // with the distribution. | |
17 | // * Neither the name of Google Inc. nor the names of its | |
18 | // contributors may be used to endorse or promote products derived | |
19 | // from this software without specific prior written permission. | |
20 | // | |
21 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
22 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
23 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
24 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | |
25 | // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
26 | // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | |
27 | // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | |
28 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | |
29 | // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
30 | // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | |
31 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
32 | ||
33 | // ICU PATCH: ifdef around UCONFIG_NO_FORMATTING | |
34 | #include "unicode/utypes.h" | |
35 | #if !UCONFIG_NO_FORMATTING | |
36 | ||
37 | #include <climits> | |
38 | #include <cmath> | |
39 | #include <cstdarg> | |
40 | ||
41 | // ICU PATCH: Customize header file paths for ICU. | |
42 | ||
43 | #include "double-conversion-utils.h" | |
44 | ||
45 | #include "double-conversion-cached-powers.h" | |
46 | ||
47 | // ICU PATCH: Wrap in ICU namespace | |
48 | U_NAMESPACE_BEGIN | |
49 | ||
50 | namespace double_conversion { | |
51 | ||
52 | struct CachedPower { | |
53 | uint64_t significand; | |
54 | int16_t binary_exponent; | |
55 | int16_t decimal_exponent; | |
56 | }; | |
57 | ||
58 | static const CachedPower kCachedPowers[] = { | |
59 | {UINT64_2PART_C(0xfa8fd5a0, 081c0288), -1220, -348}, | |
60 | {UINT64_2PART_C(0xbaaee17f, a23ebf76), -1193, -340}, | |
61 | {UINT64_2PART_C(0x8b16fb20, 3055ac76), -1166, -332}, | |
62 | {UINT64_2PART_C(0xcf42894a, 5dce35ea), -1140, -324}, | |
63 | {UINT64_2PART_C(0x9a6bb0aa, 55653b2d), -1113, -316}, | |
64 | {UINT64_2PART_C(0xe61acf03, 3d1a45df), -1087, -308}, | |
65 | {UINT64_2PART_C(0xab70fe17, c79ac6ca), -1060, -300}, | |
66 | {UINT64_2PART_C(0xff77b1fc, bebcdc4f), -1034, -292}, | |
67 | {UINT64_2PART_C(0xbe5691ef, 416bd60c), -1007, -284}, | |
68 | {UINT64_2PART_C(0x8dd01fad, 907ffc3c), -980, -276}, | |
69 | {UINT64_2PART_C(0xd3515c28, 31559a83), -954, -268}, | |
70 | {UINT64_2PART_C(0x9d71ac8f, ada6c9b5), -927, -260}, | |
71 | {UINT64_2PART_C(0xea9c2277, 23ee8bcb), -901, -252}, | |
72 | {UINT64_2PART_C(0xaecc4991, 4078536d), -874, -244}, | |
73 | {UINT64_2PART_C(0x823c1279, 5db6ce57), -847, -236}, | |
74 | {UINT64_2PART_C(0xc2109436, 4dfb5637), -821, -228}, | |
75 | {UINT64_2PART_C(0x9096ea6f, 3848984f), -794, -220}, | |
76 | {UINT64_2PART_C(0xd77485cb, 25823ac7), -768, -212}, | |
77 | {UINT64_2PART_C(0xa086cfcd, 97bf97f4), -741, -204}, | |
78 | {UINT64_2PART_C(0xef340a98, 172aace5), -715, -196}, | |
79 | {UINT64_2PART_C(0xb23867fb, 2a35b28e), -688, -188}, | |
80 | {UINT64_2PART_C(0x84c8d4df, d2c63f3b), -661, -180}, | |
81 | {UINT64_2PART_C(0xc5dd4427, 1ad3cdba), -635, -172}, | |
82 | {UINT64_2PART_C(0x936b9fce, bb25c996), -608, -164}, | |
83 | {UINT64_2PART_C(0xdbac6c24, 7d62a584), -582, -156}, | |
84 | {UINT64_2PART_C(0xa3ab6658, 0d5fdaf6), -555, -148}, | |
85 | {UINT64_2PART_C(0xf3e2f893, dec3f126), -529, -140}, | |
86 | {UINT64_2PART_C(0xb5b5ada8, aaff80b8), -502, -132}, | |
87 | {UINT64_2PART_C(0x87625f05, 6c7c4a8b), -475, -124}, | |
88 | {UINT64_2PART_C(0xc9bcff60, 34c13053), -449, -116}, | |
89 | {UINT64_2PART_C(0x964e858c, 91ba2655), -422, -108}, | |
90 | {UINT64_2PART_C(0xdff97724, 70297ebd), -396, -100}, | |
91 | {UINT64_2PART_C(0xa6dfbd9f, b8e5b88f), -369, -92}, | |
92 | {UINT64_2PART_C(0xf8a95fcf, 88747d94), -343, -84}, | |
93 | {UINT64_2PART_C(0xb9447093, 8fa89bcf), -316, -76}, | |
94 | {UINT64_2PART_C(0x8a08f0f8, bf0f156b), -289, -68}, | |
95 | {UINT64_2PART_C(0xcdb02555, 653131b6), -263, -60}, | |
96 | {UINT64_2PART_C(0x993fe2c6, d07b7fac), -236, -52}, | |
97 | {UINT64_2PART_C(0xe45c10c4, 2a2b3b06), -210, -44}, | |
98 | {UINT64_2PART_C(0xaa242499, 697392d3), -183, -36}, | |
99 | {UINT64_2PART_C(0xfd87b5f2, 8300ca0e), -157, -28}, | |
100 | {UINT64_2PART_C(0xbce50864, 92111aeb), -130, -20}, | |
101 | {UINT64_2PART_C(0x8cbccc09, 6f5088cc), -103, -12}, | |
102 | {UINT64_2PART_C(0xd1b71758, e219652c), -77, -4}, | |
103 | {UINT64_2PART_C(0x9c400000, 00000000), -50, 4}, | |
104 | {UINT64_2PART_C(0xe8d4a510, 00000000), -24, 12}, | |
105 | {UINT64_2PART_C(0xad78ebc5, ac620000), 3, 20}, | |
106 | {UINT64_2PART_C(0x813f3978, f8940984), 30, 28}, | |
107 | {UINT64_2PART_C(0xc097ce7b, c90715b3), 56, 36}, | |
108 | {UINT64_2PART_C(0x8f7e32ce, 7bea5c70), 83, 44}, | |
109 | {UINT64_2PART_C(0xd5d238a4, abe98068), 109, 52}, | |
110 | {UINT64_2PART_C(0x9f4f2726, 179a2245), 136, 60}, | |
111 | {UINT64_2PART_C(0xed63a231, d4c4fb27), 162, 68}, | |
112 | {UINT64_2PART_C(0xb0de6538, 8cc8ada8), 189, 76}, | |
113 | {UINT64_2PART_C(0x83c7088e, 1aab65db), 216, 84}, | |
114 | {UINT64_2PART_C(0xc45d1df9, 42711d9a), 242, 92}, | |
115 | {UINT64_2PART_C(0x924d692c, a61be758), 269, 100}, | |
116 | {UINT64_2PART_C(0xda01ee64, 1a708dea), 295, 108}, | |
117 | {UINT64_2PART_C(0xa26da399, 9aef774a), 322, 116}, | |
118 | {UINT64_2PART_C(0xf209787b, b47d6b85), 348, 124}, | |
119 | {UINT64_2PART_C(0xb454e4a1, 79dd1877), 375, 132}, | |
120 | {UINT64_2PART_C(0x865b8692, 5b9bc5c2), 402, 140}, | |
121 | {UINT64_2PART_C(0xc83553c5, c8965d3d), 428, 148}, | |
122 | {UINT64_2PART_C(0x952ab45c, fa97a0b3), 455, 156}, | |
123 | {UINT64_2PART_C(0xde469fbd, 99a05fe3), 481, 164}, | |
124 | {UINT64_2PART_C(0xa59bc234, db398c25), 508, 172}, | |
125 | {UINT64_2PART_C(0xf6c69a72, a3989f5c), 534, 180}, | |
126 | {UINT64_2PART_C(0xb7dcbf53, 54e9bece), 561, 188}, | |
127 | {UINT64_2PART_C(0x88fcf317, f22241e2), 588, 196}, | |
128 | {UINT64_2PART_C(0xcc20ce9b, d35c78a5), 614, 204}, | |
129 | {UINT64_2PART_C(0x98165af3, 7b2153df), 641, 212}, | |
130 | {UINT64_2PART_C(0xe2a0b5dc, 971f303a), 667, 220}, | |
131 | {UINT64_2PART_C(0xa8d9d153, 5ce3b396), 694, 228}, | |
132 | {UINT64_2PART_C(0xfb9b7cd9, a4a7443c), 720, 236}, | |
133 | {UINT64_2PART_C(0xbb764c4c, a7a44410), 747, 244}, | |
134 | {UINT64_2PART_C(0x8bab8eef, b6409c1a), 774, 252}, | |
135 | {UINT64_2PART_C(0xd01fef10, a657842c), 800, 260}, | |
136 | {UINT64_2PART_C(0x9b10a4e5, e9913129), 827, 268}, | |
137 | {UINT64_2PART_C(0xe7109bfb, a19c0c9d), 853, 276}, | |
138 | {UINT64_2PART_C(0xac2820d9, 623bf429), 880, 284}, | |
139 | {UINT64_2PART_C(0x80444b5e, 7aa7cf85), 907, 292}, | |
140 | {UINT64_2PART_C(0xbf21e440, 03acdd2d), 933, 300}, | |
141 | {UINT64_2PART_C(0x8e679c2f, 5e44ff8f), 960, 308}, | |
142 | {UINT64_2PART_C(0xd433179d, 9c8cb841), 986, 316}, | |
143 | {UINT64_2PART_C(0x9e19db92, b4e31ba9), 1013, 324}, | |
144 | {UINT64_2PART_C(0xeb96bf6e, badf77d9), 1039, 332}, | |
145 | {UINT64_2PART_C(0xaf87023b, 9bf0ee6b), 1066, 340}, | |
146 | }; | |
147 | ||
148 | static const int kCachedPowersOffset = 348; // -1 * the first decimal_exponent. | |
149 | static const double kD_1_LOG2_10 = 0.30102999566398114; // 1 / lg(10) | |
150 | // Difference between the decimal exponents in the table above. | |
151 | const int PowersOfTenCache::kDecimalExponentDistance = 8; | |
152 | const int PowersOfTenCache::kMinDecimalExponent = -348; | |
153 | const int PowersOfTenCache::kMaxDecimalExponent = 340; | |
154 | ||
155 | void PowersOfTenCache::GetCachedPowerForBinaryExponentRange( | |
156 | int min_exponent, | |
157 | int max_exponent, | |
158 | DiyFp* power, | |
159 | int* decimal_exponent) { | |
160 | int kQ = DiyFp::kSignificandSize; | |
161 | double k = ceil((min_exponent + kQ - 1) * kD_1_LOG2_10); | |
162 | int foo = kCachedPowersOffset; | |
163 | int index = | |
164 | (foo + static_cast<int>(k) - 1) / kDecimalExponentDistance + 1; | |
165 | ASSERT(0 <= index && index < static_cast<int>(ARRAY_SIZE(kCachedPowers))); | |
166 | CachedPower cached_power = kCachedPowers[index]; | |
167 | ASSERT(min_exponent <= cached_power.binary_exponent); | |
168 | (void) max_exponent; // Mark variable as used. | |
169 | ASSERT(cached_power.binary_exponent <= max_exponent); | |
170 | *decimal_exponent = cached_power.decimal_exponent; | |
171 | *power = DiyFp(cached_power.significand, cached_power.binary_exponent); | |
172 | } | |
173 | ||
174 | ||
175 | void PowersOfTenCache::GetCachedPowerForDecimalExponent(int requested_exponent, | |
176 | DiyFp* power, | |
177 | int* found_exponent) { | |
178 | ASSERT(kMinDecimalExponent <= requested_exponent); | |
179 | ASSERT(requested_exponent < kMaxDecimalExponent + kDecimalExponentDistance); | |
180 | int index = | |
181 | (requested_exponent + kCachedPowersOffset) / kDecimalExponentDistance; | |
182 | CachedPower cached_power = kCachedPowers[index]; | |
183 | *power = DiyFp(cached_power.significand, cached_power.binary_exponent); | |
184 | *found_exponent = cached_power.decimal_exponent; | |
185 | ASSERT(*found_exponent <= requested_exponent); | |
186 | ASSERT(requested_exponent < *found_exponent + kDecimalExponentDistance); | |
187 | } | |
188 | ||
189 | } // namespace double_conversion | |
190 | ||
191 | // ICU PATCH: Close ICU namespace | |
192 | U_NAMESPACE_END | |
193 | #endif // ICU PATCH: close #if !UCONFIG_NO_FORMATTING |