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1 // Copyright 2006-2008 the V8 project authors. All rights reserved.
2 // Redistribution and use in source and binary forms, with or without
3 // modification, are permitted provided that the following conditions are
4 // met:
5 //
6 //     * Redistributions of source code must retain the above copyright
7 //       notice, this list of conditions and the following disclaimer.
8 //     * Redistributions in binary form must reproduce the above
9 //       copyright notice, this list of conditions and the following
10 //       disclaimer in the documentation and/or other materials provided
11 //       with the distribution.
12 //     * Neither the name of Google Inc. nor the names of its
13 //       contributors may be used to endorse or promote products derived
14 //       from this software without specific prior written permission.
15 //
16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27 
28 #include <stdlib.h>
29 
30 #include "cctest.h"
31 #include "double-conversion/diy-fp.h"
32 #include "double-conversion/fast-dtoa.h"
33 #include "gay-precision.h"
34 #include "gay-shortest.h"
35 #include "gay-shortest-single.h"
36 #include "double-conversion/ieee.h"
37 #include "double-conversion/utils.h"
38 
39 using namespace double_conversion;
40 
41 static const int kBufferSize = 100;
42 
43 
44 // Removes trailing '0' digits.
TrimRepresentation(Vector<char> representation)45 static void TrimRepresentation(Vector<char> representation) {
46   int len = static_cast<int>(strlen(representation.start()));
47   int i;
48   for (i = len - 1; i >= 0; --i) {
49     if (representation[i] != '0') break;
50   }
51   representation[i + 1] = '\0';
52 }
53 
54 
TEST(FastDtoaShortestVariousDoubles)55 TEST(FastDtoaShortestVariousDoubles) {
56   char buffer_container[kBufferSize];
57   Vector<char> buffer(buffer_container, kBufferSize);
58   int length;
59   int point;
60   bool status;
61 
62   double min_double = 5e-324;
63   status = FastDtoa(min_double, FAST_DTOA_SHORTEST, 0,
64                     buffer, &length, &point);
65   CHECK(status);
66   CHECK_EQ("5", buffer.start());
67   CHECK_EQ(-323, point);
68 
69   double max_double = 1.7976931348623157e308;
70   status = FastDtoa(max_double, FAST_DTOA_SHORTEST, 0,
71                     buffer, &length, &point);
72   CHECK(status);
73   CHECK_EQ("17976931348623157", buffer.start());
74   CHECK_EQ(309, point);
75 
76   status = FastDtoa(4294967272.0, FAST_DTOA_SHORTEST, 0,
77                     buffer, &length, &point);
78   CHECK(status);
79   CHECK_EQ("4294967272", buffer.start());
80   CHECK_EQ(10, point);
81 
82   status = FastDtoa(4.1855804968213567e298, FAST_DTOA_SHORTEST, 0,
83                     buffer, &length, &point);
84   CHECK(status);
85   CHECK_EQ("4185580496821357", buffer.start());
86   CHECK_EQ(299, point);
87 
88   status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_SHORTEST, 0,
89                     buffer, &length, &point);
90   CHECK(status);
91   CHECK_EQ("5562684646268003", buffer.start());
92   CHECK_EQ(-308, point);
93 
94   status = FastDtoa(2147483648.0, FAST_DTOA_SHORTEST, 0,
95                     buffer, &length, &point);
96   CHECK(status);
97   CHECK_EQ("2147483648", buffer.start());
98   CHECK_EQ(10, point);
99 
100   status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_SHORTEST, 0,
101                     buffer, &length, &point);
102   if (status) {  // Not all FastDtoa variants manage to compute this number.
103     CHECK_EQ("35844466002796428", buffer.start());
104     CHECK_EQ(299, point);
105   }
106 
107   uint64_t smallest_normal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00100000, 00000000);
108   double v = Double(smallest_normal64).value();
109   status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point);
110   if (status) {
111     CHECK_EQ("22250738585072014", buffer.start());
112     CHECK_EQ(-307, point);
113   }
114 
115   uint64_t largest_denormal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
116   v = Double(largest_denormal64).value();
117   status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point);
118   if (status) {
119     CHECK_EQ("2225073858507201", buffer.start());
120     CHECK_EQ(-307, point);
121   }
122 }
123 
124 
TEST(FastDtoaShortestVariousFloats)125 TEST(FastDtoaShortestVariousFloats) {
126   char buffer_container[kBufferSize];
127   Vector<char> buffer(buffer_container, kBufferSize);
128   int length;
129   int point;
130   bool status;
131 
132   float min_float = 1e-45f;
133   status = FastDtoa(min_float, FAST_DTOA_SHORTEST_SINGLE, 0,
134                     buffer, &length, &point);
135   CHECK(status);
136   CHECK_EQ("1", buffer.start());
137   CHECK_EQ(-44, point);
138 
139 
140   float max_float = 3.4028234e38f;
141   status = FastDtoa(max_float, FAST_DTOA_SHORTEST_SINGLE, 0,
142                     buffer, &length, &point);
143   CHECK(status);
144   CHECK_EQ("34028235", buffer.start());
145   CHECK_EQ(39, point);
146 
147   status = FastDtoa(4294967272.0f, FAST_DTOA_SHORTEST_SINGLE, 0,
148                     buffer, &length, &point);
149   CHECK(status);
150   CHECK_EQ("42949673", buffer.start());
151   CHECK_EQ(10, point);
152 
153   status = FastDtoa(3.32306998946228968226e+35f, FAST_DTOA_SHORTEST_SINGLE, 0,
154                     buffer, &length, &point);
155   CHECK(status);
156   CHECK_EQ("332307", buffer.start());
157   CHECK_EQ(36, point);
158 
159   status = FastDtoa(1.2341e-41f, FAST_DTOA_SHORTEST_SINGLE, 0,
160                     buffer, &length, &point);
161   CHECK(status);
162   CHECK_EQ("12341", buffer.start());
163   CHECK_EQ(-40, point);
164 
165   status = FastDtoa(3.3554432e7, FAST_DTOA_SHORTEST_SINGLE, 0,
166                     buffer, &length, &point);
167   CHECK(status);
168   CHECK_EQ("33554432", buffer.start());
169   CHECK_EQ(8, point);
170 
171   status = FastDtoa(3.26494756798464e14f, FAST_DTOA_SHORTEST_SINGLE, 0,
172                     buffer, &length, &point);
173   CHECK(status);
174   CHECK_EQ("32649476", buffer.start());
175   CHECK_EQ(15, point);
176 
177   status = FastDtoa(3.91132223637771935344e37f, FAST_DTOA_SHORTEST_SINGLE, 0,
178                     buffer, &length, &point);
179   if (status) {  // Not all FastDtoa variants manage to compute this number.
180     CHECK_EQ("39113222", buffer.start());
181     CHECK_EQ(38, point);
182   }
183 
184   uint32_t smallest_normal32 = 0x00800000;
185   float v = Single(smallest_normal32).value();
186   status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point);
187   if (status) {
188     CHECK_EQ("11754944", buffer.start());
189     CHECK_EQ(-37, point);
190   }
191 
192   uint32_t largest_denormal32 = 0x007FFFFF;
193   v = Single(largest_denormal32).value();
194   status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point);
195   CHECK(status);
196   CHECK_EQ("11754942", buffer.start());
197   CHECK_EQ(-37, point);
198 }
199 
200 
TEST(FastDtoaPrecisionVariousDoubles)201 TEST(FastDtoaPrecisionVariousDoubles) {
202   char buffer_container[kBufferSize];
203   Vector<char> buffer(buffer_container, kBufferSize);
204   int length;
205   int point;
206   bool status;
207 
208   status = FastDtoa(1.0, FAST_DTOA_PRECISION, 3, buffer, &length, &point);
209   CHECK(status);
210   CHECK(3 >= length);
211   TrimRepresentation(buffer);
212   CHECK_EQ("1", buffer.start());
213   CHECK_EQ(1, point);
214 
215   status = FastDtoa(1.5, FAST_DTOA_PRECISION, 10, buffer, &length, &point);
216   if (status) {
217     CHECK(10 >= length);
218     TrimRepresentation(buffer);
219     CHECK_EQ("15", buffer.start());
220     CHECK_EQ(1, point);
221   }
222 
223   double min_double = 5e-324;
224   status = FastDtoa(min_double, FAST_DTOA_PRECISION, 5,
225                     buffer, &length, &point);
226   CHECK(status);
227   CHECK_EQ("49407", buffer.start());
228   CHECK_EQ(-323, point);
229 
230   double max_double = 1.7976931348623157e308;
231   status = FastDtoa(max_double, FAST_DTOA_PRECISION, 7,
232                     buffer, &length, &point);
233   CHECK(status);
234   CHECK_EQ("1797693", buffer.start());
235   CHECK_EQ(309, point);
236 
237   status = FastDtoa(4294967272.0, FAST_DTOA_PRECISION, 14,
238                     buffer, &length, &point);
239   if (status) {
240     CHECK(14 >= length);
241     TrimRepresentation(buffer);
242     CHECK_EQ("4294967272", buffer.start());
243     CHECK_EQ(10, point);
244   }
245 
246   status = FastDtoa(4.1855804968213567e298, FAST_DTOA_PRECISION, 17,
247                     buffer, &length, &point);
248   CHECK(status);
249   CHECK_EQ("41855804968213567", buffer.start());
250   CHECK_EQ(299, point);
251 
252   status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_PRECISION, 1,
253                     buffer, &length, &point);
254   CHECK(status);
255   CHECK_EQ("6", buffer.start());
256   CHECK_EQ(-308, point);
257 
258   status = FastDtoa(2147483648.0, FAST_DTOA_PRECISION, 5,
259                     buffer, &length, &point);
260   CHECK(status);
261   CHECK_EQ("21475", buffer.start());
262   CHECK_EQ(10, point);
263 
264   status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_PRECISION, 10,
265                     buffer, &length, &point);
266   CHECK(status);
267   CHECK(10 >= length);
268   TrimRepresentation(buffer);
269   CHECK_EQ("35844466", buffer.start());
270   CHECK_EQ(299, point);
271 
272   uint64_t smallest_normal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00100000, 00000000);
273   double v = Double(smallest_normal64).value();
274   status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point);
275   CHECK(status);
276   CHECK_EQ("22250738585072014", buffer.start());
277   CHECK_EQ(-307, point);
278 
279   uint64_t largest_denormal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
280   v = Double(largest_denormal64).value();
281   status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point);
282   CHECK(status);
283   CHECK(20 >= length);
284   TrimRepresentation(buffer);
285   CHECK_EQ("22250738585072009", buffer.start());
286   CHECK_EQ(-307, point);
287 
288   v = 3.3161339052167390562200598e-237;
289   status = FastDtoa(v, FAST_DTOA_PRECISION, 18, buffer, &length, &point);
290   CHECK(status);
291   CHECK_EQ("331613390521673906", buffer.start());
292   CHECK_EQ(-236, point);
293 
294   v = 7.9885183916008099497815232e+191;
295   status = FastDtoa(v, FAST_DTOA_PRECISION, 4, buffer, &length, &point);
296   CHECK(status);
297   CHECK_EQ("7989", buffer.start());
298   CHECK_EQ(192, point);
299 }
300 
301 
TEST(FastDtoaGayShortest)302 TEST(FastDtoaGayShortest) {
303   char buffer_container[kBufferSize];
304   Vector<char> buffer(buffer_container, kBufferSize);
305   bool status;
306   int length;
307   int point;
308   int succeeded = 0;
309   int total = 0;
310   bool needed_max_length = false;
311 
312   Vector<const PrecomputedShortest> precomputed =
313       PrecomputedShortestRepresentations();
314   for (int i = 0; i < precomputed.length(); ++i) {
315     const PrecomputedShortest current_test = precomputed[i];
316     total++;
317     double v = current_test.v;
318     status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point);
319     CHECK(kFastDtoaMaximalLength >= length);
320     if (!status) continue;
321     if (length == kFastDtoaMaximalLength) needed_max_length = true;
322     succeeded++;
323     CHECK_EQ(current_test.decimal_point, point);
324     CHECK_EQ(current_test.representation, buffer.start());
325   }
326   CHECK(succeeded*1.0/total > 0.99);
327   CHECK(needed_max_length);
328 }
329 
330 
TEST(FastDtoaGayShortestSingle)331 TEST(FastDtoaGayShortestSingle) {
332   char buffer_container[kBufferSize];
333   Vector<char> buffer(buffer_container, kBufferSize);
334   bool status;
335   int length;
336   int point;
337   int succeeded = 0;
338   int total = 0;
339   bool needed_max_length = false;
340 
341   Vector<const PrecomputedShortestSingle> precomputed =
342       PrecomputedShortestSingleRepresentations();
343   for (int i = 0; i < precomputed.length(); ++i) {
344     const PrecomputedShortestSingle current_test = precomputed[i];
345     total++;
346     float v = current_test.v;
347     status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point);
348     CHECK(kFastDtoaMaximalSingleLength >= length);
349     if (!status) continue;
350     if (length == kFastDtoaMaximalSingleLength) needed_max_length = true;
351     succeeded++;
352     CHECK_EQ(current_test.decimal_point, point);
353     CHECK_EQ(current_test.representation, buffer.start());
354   }
355   CHECK(succeeded*1.0/total > 0.98);
356   CHECK(needed_max_length);
357 }
358 
359 
TEST(FastDtoaGayPrecision)360 TEST(FastDtoaGayPrecision) {
361   char buffer_container[kBufferSize];
362   Vector<char> buffer(buffer_container, kBufferSize);
363   bool status;
364   int length;
365   int point;
366   int succeeded = 0;
367   int total = 0;
368   // Count separately for entries with less than 15 requested digits.
369   int succeeded_15 = 0;
370   int total_15 = 0;
371 
372   Vector<const PrecomputedPrecision> precomputed =
373       PrecomputedPrecisionRepresentations();
374   for (int i = 0; i < precomputed.length(); ++i) {
375     const PrecomputedPrecision current_test = precomputed[i];
376     double v = current_test.v;
377     int number_digits = current_test.number_digits;
378     total++;
379     if (number_digits <= 15) total_15++;
380     status = FastDtoa(v, FAST_DTOA_PRECISION, number_digits,
381                       buffer, &length, &point);
382     CHECK(number_digits >= length);
383     if (!status) continue;
384     succeeded++;
385     if (number_digits <= 15) succeeded_15++;
386     TrimRepresentation(buffer);
387     CHECK_EQ(current_test.decimal_point, point);
388     CHECK_EQ(current_test.representation, buffer.start());
389   }
390   // The precomputed numbers contain many entries with many requested
391   // digits. These have a high failure rate and we therefore expect a lower
392   // success rate than for the shortest representation.
393   CHECK(succeeded*1.0/total > 0.85);
394   // However with less than 15 digits almost the algorithm should almost always
395   // succeed.
396   CHECK(succeeded_15*1.0/total_15 > 0.9999);
397 }
398