1// Copyright (c) Microsoft Corporation.
2// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
3
4#ifndef FLOATING_POINT_TEST_CASES_HPP
5#define FLOATING_POINT_TEST_CASES_HPP
6
7#include <stdint.h>
8#include <utility>
9
10constexpr std::pair<const char*, std::uint64_t> floating_point_test_cases_double[] = {
11 // Verify small exactly-representable integers:
12 {"1", 0x3FF0000000000000ULL},
13 {"2", 0x4000000000000000ULL},
14 {"3", 0x4008000000000000ULL},
15 {"4", 0x4010000000000000ULL},
16 {"5", 0x4014000000000000ULL},
17 {"6", 0x4018000000000000ULL},
18 {"7", 0x401C000000000000ULL},
19 {"8", 0x4020000000000000ULL},
20
21 // Verify large exactly-representable integers:
22 {"9007199254740984", 0x433FFFFFFFFFFFF8ULL},
23 {"9007199254740985", 0x433FFFFFFFFFFFF9ULL},
24 {"9007199254740986", 0x433FFFFFFFFFFFFAULL},
25 {"9007199254740987", 0x433FFFFFFFFFFFFBULL},
26 {"9007199254740988", 0x433FFFFFFFFFFFFCULL},
27 {"9007199254740989", 0x433FFFFFFFFFFFFDULL},
28 {"9007199254740990", 0x433FFFFFFFFFFFFEULL},
29 {"9007199254740991", 0x433FFFFFFFFFFFFFULL}, // 2^53 - 1
30
31 // Verify the smallest denormal values:
32 {"5.0e-324", 0x0000000000000001ULL},
33 {"1.0e-323", 0x0000000000000002ULL},
34 {"1.5e-323", 0x0000000000000003ULL},
35 {"2.0e-323", 0x0000000000000004ULL},
36 {"2.5e-323", 0x0000000000000005ULL},
37 {"3.0e-323", 0x0000000000000006ULL},
38 {"3.5e-323", 0x0000000000000007ULL},
39 {"4.0e-323", 0x0000000000000008ULL},
40 {"4.5e-323", 0x0000000000000009ULL},
41 {"5.0e-323", 0x000000000000000AULL},
42 {"5.5e-323", 0x000000000000000BULL},
43 {"6.0e-323", 0x000000000000000CULL},
44 {"6.5e-323", 0x000000000000000DULL},
45 {"7.0e-323", 0x000000000000000EULL},
46 {"7.5e-323", 0x000000000000000FULL},
47
48 // Verify the largest denormal values:
49 {"2.2250738585071935e-308", 0x000FFFFFFFFFFFF0ULL},
50 {"2.2250738585071940e-308", 0x000FFFFFFFFFFFF1ULL},
51 {"2.2250738585071945e-308", 0x000FFFFFFFFFFFF2ULL},
52 {"2.2250738585071950e-308", 0x000FFFFFFFFFFFF3ULL},
53 {"2.2250738585071955e-308", 0x000FFFFFFFFFFFF4ULL},
54 {"2.2250738585071960e-308", 0x000FFFFFFFFFFFF5ULL},
55 {"2.2250738585071964e-308", 0x000FFFFFFFFFFFF6ULL},
56 {"2.2250738585071970e-308", 0x000FFFFFFFFFFFF7ULL},
57 {"2.2250738585071974e-308", 0x000FFFFFFFFFFFF8ULL},
58 {"2.2250738585071980e-308", 0x000FFFFFFFFFFFF9ULL},
59 {"2.2250738585071984e-308", 0x000FFFFFFFFFFFFAULL},
60 {"2.2250738585071990e-308", 0x000FFFFFFFFFFFFBULL},
61 {"2.2250738585071994e-308", 0x000FFFFFFFFFFFFCULL},
62 {"2.2250738585072000e-308", 0x000FFFFFFFFFFFFDULL},
63 {"2.2250738585072004e-308", 0x000FFFFFFFFFFFFEULL},
64 {"2.2250738585072010e-308", 0x000FFFFFFFFFFFFFULL},
65
66 // DevDiv#576315 "I/O library incorrect rounds floating point numbers on input"
67 // DevDiv#616647 "Visual C++ 11: iostream bug: incorrect input streaming of the smallest normal double and some
68 // denormals"
69 // DevDiv#730414 "iostreams is still misparsing floating-point"
70 // DevDiv#938627 "parsing float values using std::istream gives results inconsistent with sscanf() and with C++
71 // compiler"
72 // DevDiv#961116 "floating point string conversion accuracy"
73 {"2.2250738585072014e-308", 0x0010000000000000ULL}, // DBL_MIN
74 {"1.7976931348623158e+308", 0x7FEFFFFFFFFFFFFFULL}, // DBL_MAX
75 {"4.26144921954407e-309", 0x00031076B2F00000ULL},
76 {"179.9999999999999855", 0x40667FFFFFFFFFFFULL},
77 {"4.1", 0x4010666666666666ULL},
78 {"0.2288884", 0x3FCD4C37103785A8ULL},
79 {"0.168", 0x3FC5810624DD2F1BULL},
80 {"1.68", 0x3FFAE147AE147AE1ULL},
81 {"16.80000001", 0x4030CCCCCCF7BFEBULL},
82
83 // Test cases from Rick Regan's article, "Incorrectly Rounded Conversions in Visual C++":
84 // https://www.exploringbinary.com/incorrectly-rounded-conversions-in-visual-c-plus-plus/
85
86 // Example 1:
87 {"9214843084008499", 0x43405E6CEC57761AULL},
88
89 // Example 2 (2^-1 + 2^-53 + 2^-54):
90 {"0.500000000000000166533453693773481063544750213623046875", 0x3FE0000000000002ULL},
91
92 // Example 3:
93 {"30078505129381147446200", 0x44997A3C7271B021ULL},
94
95 // Example 4:
96 {"1777820000000000000001", 0x4458180D5BAD2E3EULL},
97
98 // Example 5 (2^-1 + 2^-53 + 2^-54 + 2^-66):
99 {"0.500000000000000166547006220929549868969843373633921146392822265625", 0x3FE0000000000002ULL},
100
101 // Example 6 (2^-1 + 2^-53 + 2^-54 + 2^-65):
102 {"0.50000000000000016656055874808561867439493653364479541778564453125", 0x3FE0000000000002ULL},
103
104 // Example 7:
105 {"0.3932922657273", 0x3FD92BB352C4623AULL},
106
107 // The following test cases are taken from other articles on Rick Regan's
108 // Exploring Binary blog. These are conversions that other implementations
109 // were found to perform incorrectly.
110
111 // https://www.exploringbinary.com/incorrectly-rounded-subnormal-conversions-in-java/
112 // Example 1 (2^-1047 + 2^-1075, half-ulp above a power of two):
113 {"6.6312368714697582767853966302759672433990999473553031442499717587"
114 "362866301392654396180682007880487441059604205526018528897150063763"
115 "256665955396033303618005191075917832333584923372080578494993608994"
116 "251286407188566165030934449228547591599881603044399098682919739314"
117 "266256986631577498362522745234853124423586512070512924530832781161"
118 "439325697279187097860044978723221938561502254152119972830784963194"
119 "121246401117772161481107528151017752957198119743384519360959074196"
120 "224175384736794951486324803914359317679811223967034438033355297560"
121 "033532098300718322306892013830155987921841729099279241763393155074"
122 "022348361207309147831684007154624400538175927027662135590421159867"
123 "638194826541287705957668068727833491469671712939495988506756821156"
124 "96218943412532098591327667236328125E-316",
125 0x0000000008000000ULL},
126
127 // Example 2 (2^-1058 - 2^-1075, half-ulp below a power of two):
128 {"3.2378839133029012895883524125015321748630376694231080599012970495"
129 "523019706706765657868357425877995578606157765598382834355143910841"
130 "531692526891905643964595773946180389283653051434639551003566966656"
131 "292020173313440317300443693602052583458034314716600326995807313009"
132 "548483639755486900107515300188817581841745696521731104736960227499"
133 "346384253806233697747365600089974040609674980283891918789639685754"
134 "392222064169814626901133425240027243859416510512935526014211553334"
135 "302252372915238433223313261384314778235911424088000307751706259156"
136 "707286570031519536642607698224949379518458015308952384398197084033"
137 "899378732414634842056080000272705311068273879077914449185347715987"
138 "501628125488627684932015189916680282517302999531439241685457086639"
139 "13273994694463908672332763671875E-319",
140 0x0000000000010000ULL},
141
142 // Example 3 (2^-1027 + 2^-1066 + 2^-1075, half-ulp above a non-power of two):
143 {"6.9533558078476771059728052155218916902221198171459507544162056079"
144 "800301315496366888061157263994418800653863998640286912755395394146"
145 "528315847956685600829998895513577849614468960421131982842131079351"
146 "102171626549398024160346762138294097205837595404767869364138165416"
147 "212878432484332023692099166122496760055730227032447997146221165421"
148 "888377703760223711720795591258533828013962195524188394697705149041"
149 "926576270603193728475623010741404426602378441141744972109554498963"
150 "891803958271916028866544881824524095839813894427833770015054620157"
151 "450178487545746683421617594966617660200287528887833870748507731929"
152 "971029979366198762266880963149896457660004790090837317365857503352"
153 "620998601508967187744019647968271662832256419920407478943826987518"
154 "09812609536720628966577351093292236328125E-310",
155 0x0000800000000100ULL},
156
157 // Example 4 (2^-1058 + 2^-1063 - 2^-1075, half-ulp below a non-power of two):
158 {"3.3390685575711885818357137012809439119234019169985217716556569973"
159 "284403145596153181688491490746626090999981130094655664268081703784"
160 "340657229916596426194677060348844249897410807907667784563321682004"
161 "646515939958173717821250106683466529959122339932545844611258684816"
162 "333436749050742710644097630907080178565840197768788124253120088123"
163 "262603630354748115322368533599053346255754042160606228586332807443"
164 "018924703005556787346899784768703698535494132771566221702458461669"
165 "916553215355296238706468887866375289955928004361779017462862722733"
166 "744717014529914330472578638646014242520247915673681950560773208853"
167 "293843223323915646452641434007986196650406080775491621739636492640"
168 "497383622906068758834568265867109610417379088720358034812416003767"
169 "05491726170293986797332763671875E-319",
170 0x0000000000010800ULL},
171
172 // A number between 2^-1074 and 2^-1075, just slightly larger than 2^-1075.
173 // It has bit 1075 set (the denormal rounding bit), followed by 2506 zeroes,
174 // followed by one bits. It should round up to 2^-1074.
175 {"2.470328229206232720882843964341106861825299013071623822127928412503"
176 "37753635104375932649918180817996189898282347722858865463328355177969"
177 "89819938739800539093906315035659515570226392290858392449105184435931"
178 "80284993653615250031937045767824921936562366986365848075700158576926"
179 "99037063119282795585513329278343384093519780155312465972635795746227"
180 "66465272827220056374006485499977096599470454020828166226237857393450"
181 "73633900796776193057750674017632467360096895134053553745851666113422"
182 "37666786041621596804619144672918403005300575308490487653917113865916"
183 "46239524912623653881879636239373280423891018672348497668235089863388"
184 "58792562830275599565752445550725518931369083625477918694866799496832"
185 "40497058210285131854513962138377228261454376934125320985913276672363"
186 "28125001e-324",
187 0x0000000000000001ULL},
188
189 // This value has a non-terminating binary fraction. It has a 0 at bit 54 followed by 120 ones.
190 {"1.8254370818746402660437411213933955878019332885742187", 0x3FFD34FD8378EA83ULL},
191
192 // https://www.exploringbinary.com/incorrect-decimal-to-floating-point-conversion-in-sqlite/
193 {"1e-23", 0x3B282DB34012B251ULL},
194 {"8.533e+68", 0x4E3FA69165A8EEA2ULL},
195 {"4.1006e-184", 0x19DBE0D1C7EA60C9ULL},
196 {"9.998e+307", 0x7FE1CC0A350CA87BULL},
197 {"9.9538452227e-280", 0x0602117AE45CDE43ULL},
198 {"6.47660115e-260", 0x0A1FDD9E333BADADULL},
199 {"7.4e+47", 0x49E033D7ECA0ADEFULL},
200 {"5.92e+48", 0x4A1033D7ECA0ADEFULL},
201 {"7.35e+66", 0x4DD172B70EABABA9ULL},
202 {"8.32116e+55", 0x4B8B2628393E02CDULL},
203};
204
205constexpr std::pair<const char*, std::uint32_t> floating_point_test_cases_float[] = {
206 // Verify small exactly-representable integers:
207 {"1", 0x3F800000U},
208 {"2", 0x40000000U},
209 {"3", 0x40400000U},
210 {"4", 0x40800000U},
211 {"5", 0x40A00000U},
212 {"6", 0x40C00000U},
213 {"7", 0x40E00000U},
214 {"8", 0x41000000U},
215
216 // Verify large exactly-representable integers:
217 {"16777208", 0x4B7FFFF8U},
218 {"16777209", 0x4B7FFFF9U},
219 {"16777210", 0x4B7FFFFAU},
220 {"16777211", 0x4B7FFFFBU},
221 {"16777212", 0x4B7FFFFCU},
222 {"16777213", 0x4B7FFFFDU},
223 {"16777214", 0x4B7FFFFEU},
224 {"16777215", 0x4B7FFFFFU}, // 2^24 - 1
225
226 // Verify the smallest denormal values:
227 {"1.4012984643248170e-45", 0x00000001U},
228 {"2.8025969286496340e-45", 0x00000002U},
229 {"4.2038953929744510e-45", 0x00000003U},
230 {"5.6051938572992680e-45", 0x00000004U},
231 {"7.0064923216240850e-45", 0x00000005U},
232 {"8.4077907859489020e-45", 0x00000006U},
233 {"9.8090892502737200e-45", 0x00000007U},
234 {"1.1210387714598537e-44", 0x00000008U},
235 {"1.2611686178923354e-44", 0x00000009U},
236 {"1.4012984643248170e-44", 0x0000000AU},
237 {"1.5414283107572988e-44", 0x0000000BU},
238 {"1.6815581571897805e-44", 0x0000000CU},
239 {"1.8216880036222622e-44", 0x0000000DU},
240 {"1.9618178500547440e-44", 0x0000000EU},
241 {"2.1019476964872256e-44", 0x0000000FU},
242
243 // Verify the largest denormal values:
244 {"1.1754921087447446e-38", 0x007FFFF0U},
245 {"1.1754922488745910e-38", 0x007FFFF1U},
246 {"1.1754923890044375e-38", 0x007FFFF2U},
247 {"1.1754925291342839e-38", 0x007FFFF3U},
248 {"1.1754926692641303e-38", 0x007FFFF4U},
249 {"1.1754928093939768e-38", 0x007FFFF5U},
250 {"1.1754929495238232e-38", 0x007FFFF6U},
251 {"1.1754930896536696e-38", 0x007FFFF7U},
252 {"1.1754932297835160e-38", 0x007FFFF8U},
253 {"1.1754933699133625e-38", 0x007FFFF9U},
254 {"1.1754935100432089e-38", 0x007FFFFAU},
255 {"1.1754936501730553e-38", 0x007FFFFBU},
256 {"1.1754937903029018e-38", 0x007FFFFCU},
257 {"1.1754939304327482e-38", 0x007FFFFDU},
258 {"1.1754940705625946e-38", 0x007FFFFEU},
259 {"1.1754942106924411e-38", 0x007FFFFFU},
260
261 // DevDiv#576315 "I/O library incorrect rounds floating point numbers on input"
262 // DevDiv#616647 "Visual C++ 11: iostream bug: incorrect input streaming of the smallest normal double and some
263 // denormals"
264 // DevDiv#730414 "iostreams is still misparsing floating-point"
265 // DevDiv#938627 "parsing float values using std::istream gives results inconsistent with sscanf() and with C++
266 // compiler"
267 // DevDiv#961116 "floating point string conversion accuracy"
268 {"1.175494351e-38", 0x00800000U}, // FLT_MIN
269 {"3.402823466e+38", 0x7F7FFFFFU}, // FLT_MAX
270 {"179.9999999999999855", 0x43340000U},
271 {"4.1", 0x40833333U},
272 {"0.2288884", 0x3E6A61B9U},
273 {"0.168", 0x3E2C0831U},
274 {"1.68", 0x3FD70A3DU},
275 {"16.80000001", 0x41866666U},
276};
277
278#endif // FLOATING_POINT_TEST_CASES_HPP
279

source code of libcxx/test/std/utilities/charconv/charconv.msvc/floating_point_test_cases.hpp