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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
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11 //       with the distribution.
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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
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22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27 
28 #include <stdlib.h>
29 #include <limits>
30 
31 #include "cctest.h"
32 #include "double-conversion/diy-fp.h"
33 #include "double-conversion/utils.h"
34 #include "double-conversion/ieee.h"
35 
36 
37 using namespace double_conversion;
38 
39 
TEST(Uint64Conversions)40 TEST(Uint64Conversions) {
41   // Start by checking the byte-order.
42   uint64_t ordered = DOUBLE_CONVERSION_UINT64_2PART_C(0x01234567, 89ABCDEF);
43   CHECK_EQ(3512700564088504e-318, Double(ordered).value());
44 
45   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
46   CHECK_EQ(5e-324, Double(min_double64).value());
47 
48   uint64_t max_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x7fefffff, ffffffff);
49   CHECK_EQ(1.7976931348623157e308, Double(max_double64).value());
50 }
51 
52 
TEST(Uint32Conversions)53 TEST(Uint32Conversions) {
54   // Start by checking the byte-order.
55   uint32_t ordered = 0x01234567;
56   CHECK_EQ(2.9988165487136453e-38f, Single(ordered).value());
57 
58   uint32_t min_float32 = 0x00000001;
59   CHECK_EQ(1.4e-45f, Single(min_float32).value());
60 
61   uint32_t max_float32 = 0x7f7fffff;
62   CHECK_EQ(3.4028234e38f, Single(max_float32).value());
63 }
64 
65 
TEST(Double_AsDiyFp)66 TEST(Double_AsDiyFp) {
67   uint64_t ordered = DOUBLE_CONVERSION_UINT64_2PART_C(0x01234567, 89ABCDEF);
68   DiyFp diy_fp = Double(ordered).AsDiyFp();
69   CHECK_EQ(0x12 - 0x3FF - 52, diy_fp.e());
70   // The 52 mantissa bits, plus the implicit 1 in bit 52 as a UINT64.
71   CHECK(DOUBLE_CONVERSION_UINT64_2PART_C(0x00134567, 89ABCDEF) == diy_fp.f());  // NOLINT
72 
73   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
74   diy_fp = Double(min_double64).AsDiyFp();
75   CHECK_EQ(-0x3FF - 52 + 1, diy_fp.e());
76   // This is a denormal; so no hidden bit.
77   CHECK(1 == diy_fp.f());  // NOLINT
78 
79   uint64_t max_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x7fefffff, ffffffff);
80   diy_fp = Double(max_double64).AsDiyFp();
81   CHECK_EQ(0x7FE - 0x3FF - 52, diy_fp.e());
82   CHECK(DOUBLE_CONVERSION_UINT64_2PART_C(0x001fffff, ffffffff) == diy_fp.f());  // NOLINT
83 }
84 
85 
TEST(Single_AsDiyFp)86 TEST(Single_AsDiyFp) {
87   uint32_t ordered = 0x01234567;
88   DiyFp diy_fp = Single(ordered).AsDiyFp();
89   CHECK_EQ(0x2 - 0x7F - 23, diy_fp.e());
90   // The 23 mantissa bits, plus the implicit 1 in bit 24 as a uint32_t.
91   CHECK_EQ(0xA34567, diy_fp.f());
92 
93   uint32_t min_float32 = 0x00000001;
94   diy_fp = Single(min_float32).AsDiyFp();
95   CHECK_EQ(-0x7F - 23 + 1, diy_fp.e());
96   // This is a denormal; so no hidden bit.
97   CHECK_EQ(1, diy_fp.f());
98 
99   uint32_t max_float32 = 0x7f7fffff;
100   diy_fp = Single(max_float32).AsDiyFp();
101   CHECK_EQ(0xFE - 0x7F - 23, diy_fp.e());
102   CHECK_EQ(0x00ffffff, diy_fp.f());
103 }
104 
105 
TEST(AsNormalizedDiyFp)106 TEST(AsNormalizedDiyFp) {
107   uint64_t ordered = DOUBLE_CONVERSION_UINT64_2PART_C(0x01234567, 89ABCDEF);
108   DiyFp diy_fp = Double(ordered).AsNormalizedDiyFp();
109   CHECK_EQ(0x12 - 0x3FF - 52 - 11, diy_fp.e());
110   CHECK((DOUBLE_CONVERSION_UINT64_2PART_C(0x00134567, 89ABCDEF) << 11) ==
111         diy_fp.f());  // NOLINT
112 
113   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
114   diy_fp = Double(min_double64).AsNormalizedDiyFp();
115   CHECK_EQ(-0x3FF - 52 + 1 - 63, diy_fp.e());
116   // This is a denormal; so no hidden bit.
117   CHECK(DOUBLE_CONVERSION_UINT64_2PART_C(0x80000000, 00000000) == diy_fp.f());  // NOLINT
118 
119   uint64_t max_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x7fefffff, ffffffff);
120   diy_fp = Double(max_double64).AsNormalizedDiyFp();
121   CHECK_EQ(0x7FE - 0x3FF - 52 - 11, diy_fp.e());
122   CHECK((DOUBLE_CONVERSION_UINT64_2PART_C(0x001fffff, ffffffff) << 11) ==
123         diy_fp.f());  // NOLINT
124 }
125 
126 
TEST(Double_IsDenormal)127 TEST(Double_IsDenormal) {
128   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
129   CHECK(Double(min_double64).IsDenormal());
130   uint64_t bits = DOUBLE_CONVERSION_UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
131   CHECK(Double(bits).IsDenormal());
132   bits = DOUBLE_CONVERSION_UINT64_2PART_C(0x00100000, 00000000);
133   CHECK(!Double(bits).IsDenormal());
134 }
135 
136 
TEST(Single_IsDenormal)137 TEST(Single_IsDenormal) {
138   uint32_t min_float32 = 0x00000001;
139   CHECK(Single(min_float32).IsDenormal());
140   uint32_t bits = 0x007FFFFF;
141   CHECK(Single(bits).IsDenormal());
142   bits = 0x00800000;
143   CHECK(!Single(bits).IsDenormal());
144 }
145 
146 
TEST(Double_IsSpecial)147 TEST(Double_IsSpecial) {
148   CHECK(Double(Double::Infinity()).IsSpecial());
149   CHECK(Double(-Double::Infinity()).IsSpecial());
150   CHECK(Double(Double::NaN()).IsSpecial());
151   uint64_t bits = DOUBLE_CONVERSION_UINT64_2PART_C(0xFFF12345, 00000000);
152   CHECK(Double(bits).IsSpecial());
153   // Denormals are not special:
154   CHECK(!Double(5e-324).IsSpecial());
155   CHECK(!Double(-5e-324).IsSpecial());
156   // And some random numbers:
157   CHECK(!Double(0.0).IsSpecial());
158   CHECK(!Double(-0.0).IsSpecial());
159   CHECK(!Double(1.0).IsSpecial());
160   CHECK(!Double(-1.0).IsSpecial());
161   CHECK(!Double(1000000.0).IsSpecial());
162   CHECK(!Double(-1000000.0).IsSpecial());
163   CHECK(!Double(1e23).IsSpecial());
164   CHECK(!Double(-1e23).IsSpecial());
165   CHECK(!Double(1.7976931348623157e308).IsSpecial());
166   CHECK(!Double(-1.7976931348623157e308).IsSpecial());
167 }
168 
169 
TEST(Single_IsSpecial)170 TEST(Single_IsSpecial) {
171   CHECK(Single(Single::Infinity()).IsSpecial());
172   CHECK(Single(-Single::Infinity()).IsSpecial());
173   CHECK(Single(Single::NaN()).IsSpecial());
174   uint32_t bits = 0xFFF12345;
175   CHECK(Single(bits).IsSpecial());
176   // Denormals are not special:
177   CHECK(!Single(1.4e-45f).IsSpecial());
178   CHECK(!Single(-1.4e-45f).IsSpecial());
179   // And some random numbers:
180   CHECK(!Single(0.0f).IsSpecial());
181   CHECK(!Single(-0.0f).IsSpecial());
182   CHECK(!Single(1.0f).IsSpecial());
183   CHECK(!Single(-1.0f).IsSpecial());
184   CHECK(!Single(1000000.0f).IsSpecial());
185   CHECK(!Single(-1000000.0f).IsSpecial());
186   CHECK(!Single(1e23f).IsSpecial());
187   CHECK(!Single(-1e23f).IsSpecial());
188   CHECK(!Single(1.18e-38f).IsSpecial());
189   CHECK(!Single(-1.18e-38f).IsSpecial());
190 }
191 
192 
TEST(Double_IsInfinite)193 TEST(Double_IsInfinite) {
194   CHECK(Double(Double::Infinity()).IsInfinite());
195   CHECK(Double(-Double::Infinity()).IsInfinite());
196   CHECK(!Double(Double::NaN()).IsInfinite());
197   CHECK(!Double(0.0).IsInfinite());
198   CHECK(!Double(-0.0).IsInfinite());
199   CHECK(!Double(1.0).IsInfinite());
200   CHECK(!Double(-1.0).IsInfinite());
201   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
202   CHECK(!Double(min_double64).IsInfinite());
203 }
204 
205 
TEST(Single_IsInfinite)206 TEST(Single_IsInfinite) {
207   CHECK(Single(Single::Infinity()).IsInfinite());
208   CHECK(Single(-Single::Infinity()).IsInfinite());
209   CHECK(!Single(Single::NaN()).IsInfinite());
210   CHECK(!Single(0.0f).IsInfinite());
211   CHECK(!Single(-0.0f).IsInfinite());
212   CHECK(!Single(1.0f).IsInfinite());
213   CHECK(!Single(-1.0f).IsInfinite());
214   uint32_t min_float32 = 0x00000001;
215   CHECK(!Single(min_float32).IsInfinite());
216 }
217 
218 
TEST(Double_IsNan)219 TEST(Double_IsNan) {
220   CHECK(Double(Double::NaN()).IsNan());
221   uint64_t other_nan = DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, 00000001);
222   CHECK(Double(other_nan).IsNan());
223   CHECK(!Double(Double::Infinity()).IsNan());
224   CHECK(!Double(-Double::Infinity()).IsNan());
225   CHECK(!Double(0.0).IsNan());
226   CHECK(!Double(-0.0).IsNan());
227   CHECK(!Double(1.0).IsNan());
228   CHECK(!Double(-1.0).IsNan());
229   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
230   CHECK(!Double(min_double64).IsNan());
231 }
232 
233 
TEST(Single_IsNan)234 TEST(Single_IsNan) {
235   CHECK(Single(Single::NaN()).IsNan());
236   uint32_t other_nan = 0xFFFFF001;
237   CHECK(Single(other_nan).IsNan());
238   CHECK(!Single(Single::Infinity()).IsNan());
239   CHECK(!Single(-Single::Infinity()).IsNan());
240   CHECK(!Single(0.0f).IsNan());
241   CHECK(!Single(-0.0f).IsNan());
242   CHECK(!Single(1.0f).IsNan());
243   CHECK(!Single(-1.0f).IsNan());
244   uint32_t min_float32 = 0x00000001;
245   CHECK(!Single(min_float32).IsNan());
246 }
247 
248 
TEST(Double_Sign)249 TEST(Double_Sign) {
250   CHECK_EQ(1, Double(1.0).Sign());
251   CHECK_EQ(1, Double(Double::Infinity()).Sign());
252   CHECK_EQ(-1, Double(-Double::Infinity()).Sign());
253   CHECK_EQ(1, Double(0.0).Sign());
254   CHECK_EQ(-1, Double(-0.0).Sign());
255   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
256   CHECK_EQ(1, Double(min_double64).Sign());
257 }
258 
259 
TEST(Single_Sign)260 TEST(Single_Sign) {
261   CHECK_EQ(1, Single(1.0f).Sign());
262   CHECK_EQ(1, Single(Single::Infinity()).Sign());
263   CHECK_EQ(-1, Single(-Single::Infinity()).Sign());
264   CHECK_EQ(1, Single(0.0f).Sign());
265   CHECK_EQ(-1, Single(-0.0f).Sign());
266   uint32_t min_float32 = 0x00000001;
267   CHECK_EQ(1, Single(min_float32).Sign());
268 }
269 
270 
TEST(Double_NormalizedBoundaries)271 TEST(Double_NormalizedBoundaries) {
272   DiyFp boundary_plus;
273   DiyFp boundary_minus;
274   DiyFp diy_fp = Double(1.5).AsNormalizedDiyFp();
275   Double(1.5).NormalizedBoundaries(&boundary_minus, &boundary_plus);
276   CHECK_EQ(diy_fp.e(), boundary_minus.e());
277   CHECK_EQ(diy_fp.e(), boundary_plus.e());
278   // 1.5 does not have a significand of the form 2^p (for some p).
279   // Therefore its boundaries are at the same distance.
280   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
281   CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());  // NOLINT
282 
283   diy_fp = Double(1.0).AsNormalizedDiyFp();
284   Double(1.0).NormalizedBoundaries(&boundary_minus, &boundary_plus);
285   CHECK_EQ(diy_fp.e(), boundary_minus.e());
286   CHECK_EQ(diy_fp.e(), boundary_plus.e());
287   // 1.0 does have a significand of the form 2^p (for some p).
288   // Therefore its lower boundary is twice as close as the upper boundary.
289   CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f());
290   CHECK((1 << 9) == diy_fp.f() - boundary_minus.f());  // NOLINT
291   CHECK((1 << 10) == boundary_plus.f() - diy_fp.f());  // NOLINT
292 
293   uint64_t min_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00000000, 00000001);
294   diy_fp = Double(min_double64).AsNormalizedDiyFp();
295   Double(min_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
296   CHECK_EQ(diy_fp.e(), boundary_minus.e());
297   CHECK_EQ(diy_fp.e(), boundary_plus.e());
298   // min-value does not have a significand of the form 2^p (for some p).
299   // Therefore its boundaries are at the same distance.
300   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
301   // Denormals have their boundaries much closer.
302   CHECK((static_cast<uint64_t>(1) << 62) ==
303         diy_fp.f() - boundary_minus.f());  // NOLINT
304 
305   uint64_t smallest_normal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x00100000, 00000000);
306   diy_fp = Double(smallest_normal64).AsNormalizedDiyFp();
307   Double(smallest_normal64).NormalizedBoundaries(&boundary_minus,
308                                                  &boundary_plus);
309   CHECK_EQ(diy_fp.e(), boundary_minus.e());
310   CHECK_EQ(diy_fp.e(), boundary_plus.e());
311   // Even though the significand is of the form 2^p (for some p), its boundaries
312   // are at the same distance. (This is the only exception).
313   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
314   CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());  // NOLINT
315 
316   uint64_t largest_denormal64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
317   diy_fp = Double(largest_denormal64).AsNormalizedDiyFp();
318   Double(largest_denormal64).NormalizedBoundaries(&boundary_minus,
319                                                   &boundary_plus);
320   CHECK_EQ(diy_fp.e(), boundary_minus.e());
321   CHECK_EQ(diy_fp.e(), boundary_plus.e());
322   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
323   CHECK((1 << 11) == diy_fp.f() - boundary_minus.f());  // NOLINT
324 
325   uint64_t max_double64 = DOUBLE_CONVERSION_UINT64_2PART_C(0x7fefffff, ffffffff);
326   diy_fp = Double(max_double64).AsNormalizedDiyFp();
327   Double(max_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
328   CHECK_EQ(diy_fp.e(), boundary_minus.e());
329   CHECK_EQ(diy_fp.e(), boundary_plus.e());
330   // max-value does not have a significand of the form 2^p (for some p).
331   // Therefore its boundaries are at the same distance.
332   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
333   CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());  // NOLINT
334 }
335 
336 
TEST(Single_NormalizedBoundaries)337 TEST(Single_NormalizedBoundaries) {
338   uint64_t kOne64 = 1;
339   DiyFp boundary_plus;
340   DiyFp boundary_minus;
341   DiyFp diy_fp = Single(1.5f).AsDiyFp();
342   diy_fp.Normalize();
343   Single(1.5f).NormalizedBoundaries(&boundary_minus, &boundary_plus);
344   CHECK_EQ(diy_fp.e(), boundary_minus.e());
345   CHECK_EQ(diy_fp.e(), boundary_plus.e());
346   // 1.5 does not have a significand of the form 2^p (for some p).
347   // Therefore its boundaries are at the same distance.
348   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
349   // Normalization shifts the significand by 8 bits. Add 32 bits for the bigger
350   // data-type, and remove 1 because boundaries are at half a ULP.
351   CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f());
352 
353   diy_fp = Single(1.0f).AsDiyFp();
354   diy_fp.Normalize();
355   Single(1.0f).NormalizedBoundaries(&boundary_minus, &boundary_plus);
356   CHECK_EQ(diy_fp.e(), boundary_minus.e());
357   CHECK_EQ(diy_fp.e(), boundary_plus.e());
358   // 1.0 does have a significand of the form 2^p (for some p).
359   // Therefore its lower boundary is twice as close as the upper boundary.
360   CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f());
361   CHECK((kOne64 << 38) == diy_fp.f() - boundary_minus.f());  // NOLINT
362   CHECK((kOne64 << 39) == boundary_plus.f() - diy_fp.f());  // NOLINT
363 
364   uint32_t min_float32 = 0x00000001;
365   diy_fp = Single(min_float32).AsDiyFp();
366   diy_fp.Normalize();
367   Single(min_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus);
368   CHECK_EQ(diy_fp.e(), boundary_minus.e());
369   CHECK_EQ(diy_fp.e(), boundary_plus.e());
370   // min-value does not have a significand of the form 2^p (for some p).
371   // Therefore its boundaries are at the same distance.
372   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
373   // Denormals have their boundaries much closer.
374   CHECK((kOne64 << 62) == diy_fp.f() - boundary_minus.f());  // NOLINT
375 
376   uint32_t smallest_normal32 = 0x00800000;
377   diy_fp = Single(smallest_normal32).AsDiyFp();
378   diy_fp.Normalize();
379   Single(smallest_normal32).NormalizedBoundaries(&boundary_minus,
380                                                  &boundary_plus);
381   CHECK_EQ(diy_fp.e(), boundary_minus.e());
382   CHECK_EQ(diy_fp.e(), boundary_plus.e());
383   // Even though the significand is of the form 2^p (for some p), its boundaries
384   // are at the same distance. (This is the only exception).
385   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
386   CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f());  // NOLINT
387 
388   uint32_t largest_denormal32 = 0x007FFFFF;
389   diy_fp = Single(largest_denormal32).AsDiyFp();
390   diy_fp.Normalize();
391   Single(largest_denormal32).NormalizedBoundaries(&boundary_minus,
392                                                   &boundary_plus);
393   CHECK_EQ(diy_fp.e(), boundary_minus.e());
394   CHECK_EQ(diy_fp.e(), boundary_plus.e());
395   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
396   CHECK((kOne64 << 40) == diy_fp.f() - boundary_minus.f());  // NOLINT
397 
398   uint32_t max_float32 = 0x7f7fffff;
399   diy_fp = Single(max_float32).AsDiyFp();
400   diy_fp.Normalize();
401   Single(max_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus);
402   CHECK_EQ(diy_fp.e(), boundary_minus.e());
403   CHECK_EQ(diy_fp.e(), boundary_plus.e());
404   // max-value does not have a significand of the form 2^p (for some p).
405   // Therefore its boundaries are at the same distance.
406   CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
407   CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f());  // NOLINT
408 }
409 
410 
TEST(NextDouble)411 TEST(NextDouble) {
412   CHECK_EQ(4e-324, Double(0.0).NextDouble());
413   CHECK_EQ(0.0, Double(-0.0).NextDouble());
414   CHECK_EQ(-0.0, Double(-4e-324).NextDouble());
415   CHECK(Double(Double(-0.0).NextDouble()).Sign() > 0);
416   CHECK(Double(Double(-4e-324).NextDouble()).Sign() < 0);
417   Double d0(-4e-324);
418   Double d1(d0.NextDouble());
419   Double d2(d1.NextDouble());
420   CHECK_EQ(-0.0, d1.value());
421   CHECK(d1.Sign() < 0);
422   CHECK_EQ(0.0, d2.value());
423   CHECK(d2.Sign() > 0);
424   CHECK_EQ(4e-324, d2.NextDouble());
425   CHECK_EQ(-1.7976931348623157e308, Double(-Double::Infinity()).NextDouble());
426   CHECK_EQ(Double::Infinity(),
427            Double(DOUBLE_CONVERSION_UINT64_2PART_C(0x7fefffff, ffffffff)).NextDouble());
428 }
429 
430 
TEST(PreviousDouble)431 TEST(PreviousDouble) {
432   CHECK_EQ(0.0, Double(4e-324).PreviousDouble());
433   CHECK_EQ(-0.0, Double(0.0).PreviousDouble());
434   CHECK(Double(Double(0.0).PreviousDouble()).Sign() < 0);
435   CHECK_EQ(-4e-324, Double(-0.0).PreviousDouble());
436   Double d0(4e-324);
437   Double d1(d0.PreviousDouble());
438   Double d2(d1.PreviousDouble());
439   CHECK_EQ(0.0, d1.value());
440   CHECK(d1.Sign() > 0);
441   CHECK_EQ(-0.0, d2.value());
442   CHECK(d2.Sign() < 0);
443   CHECK_EQ(-4e-324, d2.PreviousDouble());
444   CHECK_EQ(1.7976931348623157e308, Double(Double::Infinity()).PreviousDouble());
445   CHECK_EQ(-Double::Infinity(),
446            Double(DOUBLE_CONVERSION_UINT64_2PART_C(0xffefffff, ffffffff)).PreviousDouble());
447 }
448 
TEST(SignalingNan)449 TEST(SignalingNan) {
450   Double nan(Double::NaN());
451   CHECK(nan.IsNan());
452   CHECK(nan.IsQuietNan());
453   CHECK(Double(std::numeric_limits<double>::quiet_NaN()).IsQuietNan());
454   CHECK(Double(std::numeric_limits<double>::signaling_NaN()).IsSignalingNan());
455 }
456 
TEST(SignalingNanSingle)457 TEST(SignalingNanSingle) {
458   Single nan(Single::NaN());
459   CHECK(nan.IsNan());
460   CHECK(nan.IsQuietNan());
461   CHECK(Single(std::numeric_limits<float>::quiet_NaN()).IsQuietNan());
462   CHECK(Single(std::numeric_limits<float>::signaling_NaN()).IsSignalingNan());
463 }
464