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1b1a35ee
XL
1use crate::f64::consts;
2use crate::num::FpCategory as Fp;
3use crate::num::*;
4
5#[test]
6fn test_num_f64() {
7 test_num(10f64, 2f64);
8}
9
10#[test]
11fn test_min_nan() {
12 assert_eq!(f64::NAN.min(2.0), 2.0);
13 assert_eq!(2.0f64.min(f64::NAN), 2.0);
14}
15
16#[test]
17fn test_max_nan() {
18 assert_eq!(f64::NAN.max(2.0), 2.0);
19 assert_eq!(2.0f64.max(f64::NAN), 2.0);
20}
21
22#[test]
23fn test_nan() {
24 let nan: f64 = f64::NAN;
25 assert!(nan.is_nan());
26 assert!(!nan.is_infinite());
27 assert!(!nan.is_finite());
28 assert!(!nan.is_normal());
29 assert!(nan.is_sign_positive());
30 assert!(!nan.is_sign_negative());
31 assert_eq!(Fp::Nan, nan.classify());
32}
33
34#[test]
35fn test_infinity() {
36 let inf: f64 = f64::INFINITY;
37 assert!(inf.is_infinite());
38 assert!(!inf.is_finite());
39 assert!(inf.is_sign_positive());
40 assert!(!inf.is_sign_negative());
41 assert!(!inf.is_nan());
42 assert!(!inf.is_normal());
43 assert_eq!(Fp::Infinite, inf.classify());
44}
45
46#[test]
47fn test_neg_infinity() {
48 let neg_inf: f64 = f64::NEG_INFINITY;
49 assert!(neg_inf.is_infinite());
50 assert!(!neg_inf.is_finite());
51 assert!(!neg_inf.is_sign_positive());
52 assert!(neg_inf.is_sign_negative());
53 assert!(!neg_inf.is_nan());
54 assert!(!neg_inf.is_normal());
55 assert_eq!(Fp::Infinite, neg_inf.classify());
56}
57
58#[test]
59fn test_zero() {
60 let zero: f64 = 0.0f64;
61 assert_eq!(0.0, zero);
62 assert!(!zero.is_infinite());
63 assert!(zero.is_finite());
64 assert!(zero.is_sign_positive());
65 assert!(!zero.is_sign_negative());
66 assert!(!zero.is_nan());
67 assert!(!zero.is_normal());
68 assert_eq!(Fp::Zero, zero.classify());
69}
70
71#[test]
72fn test_neg_zero() {
73 let neg_zero: f64 = -0.0;
74 assert_eq!(0.0, neg_zero);
75 assert!(!neg_zero.is_infinite());
76 assert!(neg_zero.is_finite());
77 assert!(!neg_zero.is_sign_positive());
78 assert!(neg_zero.is_sign_negative());
79 assert!(!neg_zero.is_nan());
80 assert!(!neg_zero.is_normal());
81 assert_eq!(Fp::Zero, neg_zero.classify());
82}
83
84#[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
85#[test]
86fn test_one() {
87 let one: f64 = 1.0f64;
88 assert_eq!(1.0, one);
89 assert!(!one.is_infinite());
90 assert!(one.is_finite());
91 assert!(one.is_sign_positive());
92 assert!(!one.is_sign_negative());
93 assert!(!one.is_nan());
94 assert!(one.is_normal());
95 assert_eq!(Fp::Normal, one.classify());
96}
97
98#[test]
99fn test_is_nan() {
100 let nan: f64 = f64::NAN;
101 let inf: f64 = f64::INFINITY;
102 let neg_inf: f64 = f64::NEG_INFINITY;
103 assert!(nan.is_nan());
104 assert!(!0.0f64.is_nan());
105 assert!(!5.3f64.is_nan());
106 assert!(!(-10.732f64).is_nan());
107 assert!(!inf.is_nan());
108 assert!(!neg_inf.is_nan());
109}
110
111#[test]
112fn test_is_infinite() {
113 let nan: f64 = f64::NAN;
114 let inf: f64 = f64::INFINITY;
115 let neg_inf: f64 = f64::NEG_INFINITY;
116 assert!(!nan.is_infinite());
117 assert!(inf.is_infinite());
118 assert!(neg_inf.is_infinite());
119 assert!(!0.0f64.is_infinite());
120 assert!(!42.8f64.is_infinite());
121 assert!(!(-109.2f64).is_infinite());
122}
123
124#[test]
125fn test_is_finite() {
126 let nan: f64 = f64::NAN;
127 let inf: f64 = f64::INFINITY;
128 let neg_inf: f64 = f64::NEG_INFINITY;
129 assert!(!nan.is_finite());
130 assert!(!inf.is_finite());
131 assert!(!neg_inf.is_finite());
132 assert!(0.0f64.is_finite());
133 assert!(42.8f64.is_finite());
134 assert!((-109.2f64).is_finite());
135}
136
137#[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
138#[test]
139fn test_is_normal() {
140 let nan: f64 = f64::NAN;
141 let inf: f64 = f64::INFINITY;
142 let neg_inf: f64 = f64::NEG_INFINITY;
143 let zero: f64 = 0.0f64;
144 let neg_zero: f64 = -0.0;
145 assert!(!nan.is_normal());
146 assert!(!inf.is_normal());
147 assert!(!neg_inf.is_normal());
148 assert!(!zero.is_normal());
149 assert!(!neg_zero.is_normal());
150 assert!(1f64.is_normal());
151 assert!(1e-307f64.is_normal());
152 assert!(!1e-308f64.is_normal());
153}
154
155#[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
156#[test]
157fn test_classify() {
158 let nan: f64 = f64::NAN;
159 let inf: f64 = f64::INFINITY;
160 let neg_inf: f64 = f64::NEG_INFINITY;
161 let zero: f64 = 0.0f64;
162 let neg_zero: f64 = -0.0;
163 assert_eq!(nan.classify(), Fp::Nan);
164 assert_eq!(inf.classify(), Fp::Infinite);
165 assert_eq!(neg_inf.classify(), Fp::Infinite);
166 assert_eq!(zero.classify(), Fp::Zero);
167 assert_eq!(neg_zero.classify(), Fp::Zero);
168 assert_eq!(1e-307f64.classify(), Fp::Normal);
169 assert_eq!(1e-308f64.classify(), Fp::Subnormal);
170}
171
172#[test]
173fn test_floor() {
174 assert_approx_eq!(1.0f64.floor(), 1.0f64);
175 assert_approx_eq!(1.3f64.floor(), 1.0f64);
176 assert_approx_eq!(1.5f64.floor(), 1.0f64);
177 assert_approx_eq!(1.7f64.floor(), 1.0f64);
178 assert_approx_eq!(0.0f64.floor(), 0.0f64);
179 assert_approx_eq!((-0.0f64).floor(), -0.0f64);
180 assert_approx_eq!((-1.0f64).floor(), -1.0f64);
181 assert_approx_eq!((-1.3f64).floor(), -2.0f64);
182 assert_approx_eq!((-1.5f64).floor(), -2.0f64);
183 assert_approx_eq!((-1.7f64).floor(), -2.0f64);
184}
185
186#[test]
187fn test_ceil() {
188 assert_approx_eq!(1.0f64.ceil(), 1.0f64);
189 assert_approx_eq!(1.3f64.ceil(), 2.0f64);
190 assert_approx_eq!(1.5f64.ceil(), 2.0f64);
191 assert_approx_eq!(1.7f64.ceil(), 2.0f64);
192 assert_approx_eq!(0.0f64.ceil(), 0.0f64);
193 assert_approx_eq!((-0.0f64).ceil(), -0.0f64);
194 assert_approx_eq!((-1.0f64).ceil(), -1.0f64);
195 assert_approx_eq!((-1.3f64).ceil(), -1.0f64);
196 assert_approx_eq!((-1.5f64).ceil(), -1.0f64);
197 assert_approx_eq!((-1.7f64).ceil(), -1.0f64);
198}
199
200#[test]
201fn test_round() {
202 assert_approx_eq!(1.0f64.round(), 1.0f64);
203 assert_approx_eq!(1.3f64.round(), 1.0f64);
204 assert_approx_eq!(1.5f64.round(), 2.0f64);
205 assert_approx_eq!(1.7f64.round(), 2.0f64);
206 assert_approx_eq!(0.0f64.round(), 0.0f64);
207 assert_approx_eq!((-0.0f64).round(), -0.0f64);
208 assert_approx_eq!((-1.0f64).round(), -1.0f64);
209 assert_approx_eq!((-1.3f64).round(), -1.0f64);
210 assert_approx_eq!((-1.5f64).round(), -2.0f64);
211 assert_approx_eq!((-1.7f64).round(), -2.0f64);
212}
213
214#[test]
215fn test_trunc() {
216 assert_approx_eq!(1.0f64.trunc(), 1.0f64);
217 assert_approx_eq!(1.3f64.trunc(), 1.0f64);
218 assert_approx_eq!(1.5f64.trunc(), 1.0f64);
219 assert_approx_eq!(1.7f64.trunc(), 1.0f64);
220 assert_approx_eq!(0.0f64.trunc(), 0.0f64);
221 assert_approx_eq!((-0.0f64).trunc(), -0.0f64);
222 assert_approx_eq!((-1.0f64).trunc(), -1.0f64);
223 assert_approx_eq!((-1.3f64).trunc(), -1.0f64);
224 assert_approx_eq!((-1.5f64).trunc(), -1.0f64);
225 assert_approx_eq!((-1.7f64).trunc(), -1.0f64);
226}
227
228#[test]
229fn test_fract() {
230 assert_approx_eq!(1.0f64.fract(), 0.0f64);
231 assert_approx_eq!(1.3f64.fract(), 0.3f64);
232 assert_approx_eq!(1.5f64.fract(), 0.5f64);
233 assert_approx_eq!(1.7f64.fract(), 0.7f64);
234 assert_approx_eq!(0.0f64.fract(), 0.0f64);
235 assert_approx_eq!((-0.0f64).fract(), -0.0f64);
236 assert_approx_eq!((-1.0f64).fract(), -0.0f64);
237 assert_approx_eq!((-1.3f64).fract(), -0.3f64);
238 assert_approx_eq!((-1.5f64).fract(), -0.5f64);
239 assert_approx_eq!((-1.7f64).fract(), -0.7f64);
240}
241
242#[test]
243fn test_abs() {
244 assert_eq!(f64::INFINITY.abs(), f64::INFINITY);
245 assert_eq!(1f64.abs(), 1f64);
246 assert_eq!(0f64.abs(), 0f64);
247 assert_eq!((-0f64).abs(), 0f64);
248 assert_eq!((-1f64).abs(), 1f64);
249 assert_eq!(f64::NEG_INFINITY.abs(), f64::INFINITY);
250 assert_eq!((1f64 / f64::NEG_INFINITY).abs(), 0f64);
251 assert!(f64::NAN.abs().is_nan());
252}
253
254#[test]
255fn test_signum() {
256 assert_eq!(f64::INFINITY.signum(), 1f64);
257 assert_eq!(1f64.signum(), 1f64);
258 assert_eq!(0f64.signum(), 1f64);
259 assert_eq!((-0f64).signum(), -1f64);
260 assert_eq!((-1f64).signum(), -1f64);
261 assert_eq!(f64::NEG_INFINITY.signum(), -1f64);
262 assert_eq!((1f64 / f64::NEG_INFINITY).signum(), -1f64);
263 assert!(f64::NAN.signum().is_nan());
264}
265
266#[test]
267fn test_is_sign_positive() {
268 assert!(f64::INFINITY.is_sign_positive());
269 assert!(1f64.is_sign_positive());
270 assert!(0f64.is_sign_positive());
271 assert!(!(-0f64).is_sign_positive());
272 assert!(!(-1f64).is_sign_positive());
273 assert!(!f64::NEG_INFINITY.is_sign_positive());
274 assert!(!(1f64 / f64::NEG_INFINITY).is_sign_positive());
275 assert!(f64::NAN.is_sign_positive());
276 assert!(!(-f64::NAN).is_sign_positive());
277}
278
279#[test]
280fn test_is_sign_negative() {
281 assert!(!f64::INFINITY.is_sign_negative());
282 assert!(!1f64.is_sign_negative());
283 assert!(!0f64.is_sign_negative());
284 assert!((-0f64).is_sign_negative());
285 assert!((-1f64).is_sign_negative());
286 assert!(f64::NEG_INFINITY.is_sign_negative());
287 assert!((1f64 / f64::NEG_INFINITY).is_sign_negative());
288 assert!(!f64::NAN.is_sign_negative());
289 assert!((-f64::NAN).is_sign_negative());
290}
291
f2b60f7d
FG
292#[allow(unused_macros)]
293macro_rules! assert_f64_biteq {
294 ($left : expr, $right : expr) => {
295 let l: &f64 = &$left;
296 let r: &f64 = &$right;
297 let lb = l.to_bits();
298 let rb = r.to_bits();
299 assert_eq!(lb, rb, "float {} ({:#x}) is not equal to {} ({:#x})", *l, lb, *r, rb);
300 };
301}
302
303// Ignore test on x87 floating point, these platforms do not guarantee NaN
304// payloads are preserved and flush denormals to zero, failing the tests.
305#[cfg(not(target_arch = "x86"))]
306#[test]
307fn test_next_up() {
308 let tiny = f64::from_bits(1);
309 let tiny_up = f64::from_bits(2);
310 let max_down = f64::from_bits(0x7fef_ffff_ffff_fffe);
311 let largest_subnormal = f64::from_bits(0x000f_ffff_ffff_ffff);
312 let smallest_normal = f64::from_bits(0x0010_0000_0000_0000);
313 assert_f64_biteq!(f64::NEG_INFINITY.next_up(), f64::MIN);
314 assert_f64_biteq!(f64::MIN.next_up(), -max_down);
315 assert_f64_biteq!((-1.0 - f64::EPSILON).next_up(), -1.0);
316 assert_f64_biteq!((-smallest_normal).next_up(), -largest_subnormal);
317 assert_f64_biteq!((-tiny_up).next_up(), -tiny);
318 assert_f64_biteq!((-tiny).next_up(), -0.0f64);
319 assert_f64_biteq!((-0.0f64).next_up(), tiny);
320 assert_f64_biteq!(0.0f64.next_up(), tiny);
321 assert_f64_biteq!(tiny.next_up(), tiny_up);
322 assert_f64_biteq!(largest_subnormal.next_up(), smallest_normal);
323 assert_f64_biteq!(1.0f64.next_up(), 1.0 + f64::EPSILON);
324 assert_f64_biteq!(f64::MAX.next_up(), f64::INFINITY);
325 assert_f64_biteq!(f64::INFINITY.next_up(), f64::INFINITY);
326
327 let nan0 = f64::NAN;
328 let nan1 = f64::from_bits(f64::NAN.to_bits() ^ 0x000a_aaaa_aaaa_aaaa);
329 let nan2 = f64::from_bits(f64::NAN.to_bits() ^ 0x0005_5555_5555_5555);
330 assert_f64_biteq!(nan0.next_up(), nan0);
331 assert_f64_biteq!(nan1.next_up(), nan1);
332 assert_f64_biteq!(nan2.next_up(), nan2);
333}
334
335// Ignore test on x87 floating point, these platforms do not guarantee NaN
336// payloads are preserved and flush denormals to zero, failing the tests.
337#[cfg(not(target_arch = "x86"))]
338#[test]
339fn test_next_down() {
340 let tiny = f64::from_bits(1);
341 let tiny_up = f64::from_bits(2);
342 let max_down = f64::from_bits(0x7fef_ffff_ffff_fffe);
343 let largest_subnormal = f64::from_bits(0x000f_ffff_ffff_ffff);
344 let smallest_normal = f64::from_bits(0x0010_0000_0000_0000);
345 assert_f64_biteq!(f64::NEG_INFINITY.next_down(), f64::NEG_INFINITY);
346 assert_f64_biteq!(f64::MIN.next_down(), f64::NEG_INFINITY);
347 assert_f64_biteq!((-max_down).next_down(), f64::MIN);
348 assert_f64_biteq!((-1.0f64).next_down(), -1.0 - f64::EPSILON);
349 assert_f64_biteq!((-largest_subnormal).next_down(), -smallest_normal);
350 assert_f64_biteq!((-tiny).next_down(), -tiny_up);
351 assert_f64_biteq!((-0.0f64).next_down(), -tiny);
352 assert_f64_biteq!((0.0f64).next_down(), -tiny);
353 assert_f64_biteq!(tiny.next_down(), 0.0f64);
354 assert_f64_biteq!(tiny_up.next_down(), tiny);
355 assert_f64_biteq!(smallest_normal.next_down(), largest_subnormal);
356 assert_f64_biteq!((1.0 + f64::EPSILON).next_down(), 1.0f64);
357 assert_f64_biteq!(f64::MAX.next_down(), max_down);
358 assert_f64_biteq!(f64::INFINITY.next_down(), f64::MAX);
359
360 let nan0 = f64::NAN;
361 let nan1 = f64::from_bits(f64::NAN.to_bits() ^ 0x000a_aaaa_aaaa_aaaa);
362 let nan2 = f64::from_bits(f64::NAN.to_bits() ^ 0x0005_5555_5555_5555);
363 assert_f64_biteq!(nan0.next_down(), nan0);
364 assert_f64_biteq!(nan1.next_down(), nan1);
365 assert_f64_biteq!(nan2.next_down(), nan2);
366}
367
1b1a35ee
XL
368#[test]
369fn test_mul_add() {
370 let nan: f64 = f64::NAN;
371 let inf: f64 = f64::INFINITY;
372 let neg_inf: f64 = f64::NEG_INFINITY;
373 assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
374 assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
375 assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
376 assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
377 assert!(nan.mul_add(7.8, 9.0).is_nan());
378 assert_eq!(inf.mul_add(7.8, 9.0), inf);
379 assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
380 assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
381 assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
382}
383
384#[test]
385fn test_recip() {
386 let nan: f64 = f64::NAN;
387 let inf: f64 = f64::INFINITY;
388 let neg_inf: f64 = f64::NEG_INFINITY;
389 assert_eq!(1.0f64.recip(), 1.0);
390 assert_eq!(2.0f64.recip(), 0.5);
391 assert_eq!((-0.4f64).recip(), -2.5);
392 assert_eq!(0.0f64.recip(), inf);
393 assert!(nan.recip().is_nan());
394 assert_eq!(inf.recip(), 0.0);
395 assert_eq!(neg_inf.recip(), 0.0);
396}
397
398#[test]
399fn test_powi() {
400 let nan: f64 = f64::NAN;
401 let inf: f64 = f64::INFINITY;
402 let neg_inf: f64 = f64::NEG_INFINITY;
403 assert_eq!(1.0f64.powi(1), 1.0);
404 assert_approx_eq!((-3.1f64).powi(2), 9.61);
405 assert_approx_eq!(5.9f64.powi(-2), 0.028727);
406 assert_eq!(8.3f64.powi(0), 1.0);
407 assert!(nan.powi(2).is_nan());
408 assert_eq!(inf.powi(3), inf);
409 assert_eq!(neg_inf.powi(2), inf);
410}
411
412#[test]
413fn test_powf() {
414 let nan: f64 = f64::NAN;
415 let inf: f64 = f64::INFINITY;
416 let neg_inf: f64 = f64::NEG_INFINITY;
417 assert_eq!(1.0f64.powf(1.0), 1.0);
418 assert_approx_eq!(3.4f64.powf(4.5), 246.408183);
419 assert_approx_eq!(2.7f64.powf(-3.2), 0.041652);
420 assert_approx_eq!((-3.1f64).powf(2.0), 9.61);
421 assert_approx_eq!(5.9f64.powf(-2.0), 0.028727);
422 assert_eq!(8.3f64.powf(0.0), 1.0);
423 assert!(nan.powf(2.0).is_nan());
424 assert_eq!(inf.powf(2.0), inf);
425 assert_eq!(neg_inf.powf(3.0), neg_inf);
426}
427
428#[test]
429fn test_sqrt_domain() {
430 assert!(f64::NAN.sqrt().is_nan());
431 assert!(f64::NEG_INFINITY.sqrt().is_nan());
432 assert!((-1.0f64).sqrt().is_nan());
433 assert_eq!((-0.0f64).sqrt(), -0.0);
434 assert_eq!(0.0f64.sqrt(), 0.0);
435 assert_eq!(1.0f64.sqrt(), 1.0);
436 assert_eq!(f64::INFINITY.sqrt(), f64::INFINITY);
437}
438
439#[test]
440fn test_exp() {
441 assert_eq!(1.0, 0.0f64.exp());
442 assert_approx_eq!(2.718282, 1.0f64.exp());
443 assert_approx_eq!(148.413159, 5.0f64.exp());
444
445 let inf: f64 = f64::INFINITY;
446 let neg_inf: f64 = f64::NEG_INFINITY;
447 let nan: f64 = f64::NAN;
448 assert_eq!(inf, inf.exp());
449 assert_eq!(0.0, neg_inf.exp());
450 assert!(nan.exp().is_nan());
451}
452
453#[test]
454fn test_exp2() {
455 assert_eq!(32.0, 5.0f64.exp2());
456 assert_eq!(1.0, 0.0f64.exp2());
457
458 let inf: f64 = f64::INFINITY;
459 let neg_inf: f64 = f64::NEG_INFINITY;
460 let nan: f64 = f64::NAN;
461 assert_eq!(inf, inf.exp2());
462 assert_eq!(0.0, neg_inf.exp2());
463 assert!(nan.exp2().is_nan());
464}
465
466#[test]
467fn test_ln() {
468 let nan: f64 = f64::NAN;
469 let inf: f64 = f64::INFINITY;
470 let neg_inf: f64 = f64::NEG_INFINITY;
471 assert_approx_eq!(1.0f64.exp().ln(), 1.0);
472 assert!(nan.ln().is_nan());
473 assert_eq!(inf.ln(), inf);
474 assert!(neg_inf.ln().is_nan());
475 assert!((-2.3f64).ln().is_nan());
476 assert_eq!((-0.0f64).ln(), neg_inf);
477 assert_eq!(0.0f64.ln(), neg_inf);
478 assert_approx_eq!(4.0f64.ln(), 1.386294);
479}
480
481#[test]
482fn test_log() {
483 let nan: f64 = f64::NAN;
484 let inf: f64 = f64::INFINITY;
485 let neg_inf: f64 = f64::NEG_INFINITY;
486 assert_eq!(10.0f64.log(10.0), 1.0);
487 assert_approx_eq!(2.3f64.log(3.5), 0.664858);
488 assert_eq!(1.0f64.exp().log(1.0f64.exp()), 1.0);
489 assert!(1.0f64.log(1.0).is_nan());
490 assert!(1.0f64.log(-13.9).is_nan());
491 assert!(nan.log(2.3).is_nan());
492 assert_eq!(inf.log(10.0), inf);
493 assert!(neg_inf.log(8.8).is_nan());
494 assert!((-2.3f64).log(0.1).is_nan());
495 assert_eq!((-0.0f64).log(2.0), neg_inf);
496 assert_eq!(0.0f64.log(7.0), neg_inf);
497}
498
499#[test]
500fn test_log2() {
501 let nan: f64 = f64::NAN;
502 let inf: f64 = f64::INFINITY;
503 let neg_inf: f64 = f64::NEG_INFINITY;
504 assert_approx_eq!(10.0f64.log2(), 3.321928);
505 assert_approx_eq!(2.3f64.log2(), 1.201634);
506 assert_approx_eq!(1.0f64.exp().log2(), 1.442695);
507 assert!(nan.log2().is_nan());
508 assert_eq!(inf.log2(), inf);
509 assert!(neg_inf.log2().is_nan());
510 assert!((-2.3f64).log2().is_nan());
511 assert_eq!((-0.0f64).log2(), neg_inf);
512 assert_eq!(0.0f64.log2(), neg_inf);
513}
514
515#[test]
516fn test_log10() {
517 let nan: f64 = f64::NAN;
518 let inf: f64 = f64::INFINITY;
519 let neg_inf: f64 = f64::NEG_INFINITY;
520 assert_eq!(10.0f64.log10(), 1.0);
521 assert_approx_eq!(2.3f64.log10(), 0.361728);
522 assert_approx_eq!(1.0f64.exp().log10(), 0.434294);
523 assert_eq!(1.0f64.log10(), 0.0);
524 assert!(nan.log10().is_nan());
525 assert_eq!(inf.log10(), inf);
526 assert!(neg_inf.log10().is_nan());
527 assert!((-2.3f64).log10().is_nan());
528 assert_eq!((-0.0f64).log10(), neg_inf);
529 assert_eq!(0.0f64.log10(), neg_inf);
530}
531
532#[test]
533fn test_to_degrees() {
534 let pi: f64 = consts::PI;
535 let nan: f64 = f64::NAN;
536 let inf: f64 = f64::INFINITY;
537 let neg_inf: f64 = f64::NEG_INFINITY;
538 assert_eq!(0.0f64.to_degrees(), 0.0);
539 assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
540 assert_eq!(pi.to_degrees(), 180.0);
541 assert!(nan.to_degrees().is_nan());
542 assert_eq!(inf.to_degrees(), inf);
543 assert_eq!(neg_inf.to_degrees(), neg_inf);
544}
545
546#[test]
547fn test_to_radians() {
548 let pi: f64 = consts::PI;
549 let nan: f64 = f64::NAN;
550 let inf: f64 = f64::INFINITY;
551 let neg_inf: f64 = f64::NEG_INFINITY;
552 assert_eq!(0.0f64.to_radians(), 0.0);
553 assert_approx_eq!(154.6f64.to_radians(), 2.698279);
554 assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
555 assert_eq!(180.0f64.to_radians(), pi);
556 assert!(nan.to_radians().is_nan());
557 assert_eq!(inf.to_radians(), inf);
558 assert_eq!(neg_inf.to_radians(), neg_inf);
559}
560
561#[test]
562fn test_asinh() {
563 assert_eq!(0.0f64.asinh(), 0.0f64);
564 assert_eq!((-0.0f64).asinh(), -0.0f64);
565
566 let inf: f64 = f64::INFINITY;
567 let neg_inf: f64 = f64::NEG_INFINITY;
568 let nan: f64 = f64::NAN;
569 assert_eq!(inf.asinh(), inf);
570 assert_eq!(neg_inf.asinh(), neg_inf);
571 assert!(nan.asinh().is_nan());
572 assert!((-0.0f64).asinh().is_sign_negative());
573 // issue 63271
574 assert_approx_eq!(2.0f64.asinh(), 1.443635475178810342493276740273105f64);
575 assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64);
576 // regression test for the catastrophic cancellation fixed in 72486
577 assert_approx_eq!((-67452098.07139316f64).asinh(), -18.72007542627454439398548429400083);
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578
579 // test for low accuracy from issue 104548
580 assert_approx_eq!(60.0f64, 60.0f64.sinh().asinh());
581 // mul needed for approximate comparison to be meaningful
582 assert_approx_eq!(1.0f64, 1e-15f64.sinh().asinh() * 1e15f64);
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583}
584
585#[test]
586fn test_acosh() {
587 assert_eq!(1.0f64.acosh(), 0.0f64);
588 assert!(0.999f64.acosh().is_nan());
589
590 let inf: f64 = f64::INFINITY;
591 let neg_inf: f64 = f64::NEG_INFINITY;
592 let nan: f64 = f64::NAN;
593 assert_eq!(inf.acosh(), inf);
594 assert!(neg_inf.acosh().is_nan());
595 assert!(nan.acosh().is_nan());
596 assert_approx_eq!(2.0f64.acosh(), 1.31695789692481670862504634730796844f64);
597 assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64);
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598
599 // test for low accuracy from issue 104548
600 assert_approx_eq!(60.0f64, 60.0f64.cosh().acosh());
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601}
602
603#[test]
604fn test_atanh() {
605 assert_eq!(0.0f64.atanh(), 0.0f64);
606 assert_eq!((-0.0f64).atanh(), -0.0f64);
607
608 let inf: f64 = f64::INFINITY;
609 let neg_inf: f64 = f64::NEG_INFINITY;
610 let nan: f64 = f64::NAN;
611 assert_eq!(1.0f64.atanh(), inf);
612 assert_eq!((-1.0f64).atanh(), neg_inf);
613 assert!(2f64.atanh().atanh().is_nan());
614 assert!((-2f64).atanh().atanh().is_nan());
615 assert!(inf.atanh().is_nan());
616 assert!(neg_inf.atanh().is_nan());
617 assert!(nan.atanh().is_nan());
618 assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64);
619 assert_approx_eq!((-0.5f64).atanh(), -0.54930614433405484569762261846126285f64);
620}
621
622#[test]
623fn test_real_consts() {
624 use super::consts;
625 let pi: f64 = consts::PI;
626 let frac_pi_2: f64 = consts::FRAC_PI_2;
627 let frac_pi_3: f64 = consts::FRAC_PI_3;
628 let frac_pi_4: f64 = consts::FRAC_PI_4;
629 let frac_pi_6: f64 = consts::FRAC_PI_6;
630 let frac_pi_8: f64 = consts::FRAC_PI_8;
631 let frac_1_pi: f64 = consts::FRAC_1_PI;
632 let frac_2_pi: f64 = consts::FRAC_2_PI;
633 let frac_2_sqrtpi: f64 = consts::FRAC_2_SQRT_PI;
634 let sqrt2: f64 = consts::SQRT_2;
635 let frac_1_sqrt2: f64 = consts::FRAC_1_SQRT_2;
636 let e: f64 = consts::E;
637 let log2_e: f64 = consts::LOG2_E;
638 let log10_e: f64 = consts::LOG10_E;
639 let ln_2: f64 = consts::LN_2;
640 let ln_10: f64 = consts::LN_10;
641
642 assert_approx_eq!(frac_pi_2, pi / 2f64);
643 assert_approx_eq!(frac_pi_3, pi / 3f64);
644 assert_approx_eq!(frac_pi_4, pi / 4f64);
645 assert_approx_eq!(frac_pi_6, pi / 6f64);
646 assert_approx_eq!(frac_pi_8, pi / 8f64);
647 assert_approx_eq!(frac_1_pi, 1f64 / pi);
648 assert_approx_eq!(frac_2_pi, 2f64 / pi);
649 assert_approx_eq!(frac_2_sqrtpi, 2f64 / pi.sqrt());
650 assert_approx_eq!(sqrt2, 2f64.sqrt());
651 assert_approx_eq!(frac_1_sqrt2, 1f64 / 2f64.sqrt());
652 assert_approx_eq!(log2_e, e.log2());
653 assert_approx_eq!(log10_e, e.log10());
654 assert_approx_eq!(ln_2, 2f64.ln());
655 assert_approx_eq!(ln_10, 10f64.ln());
656}
657
658#[test]
659fn test_float_bits_conv() {
660 assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
661 assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
662 assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
663 assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
664 assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
665 assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
666 assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
667 assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
668
669 // Check that NaNs roundtrip their bits regardless of signaling-ness
670 // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
671 let masked_nan1 = f64::NAN.to_bits() ^ 0x000A_AAAA_AAAA_AAAA;
672 let masked_nan2 = f64::NAN.to_bits() ^ 0x0005_5555_5555_5555;
673 assert!(f64::from_bits(masked_nan1).is_nan());
674 assert!(f64::from_bits(masked_nan2).is_nan());
675
676 assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
677 assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
678}
679
680#[test]
681#[should_panic]
682fn test_clamp_min_greater_than_max() {
683 let _ = 1.0f64.clamp(3.0, 1.0);
684}
685
686#[test]
687#[should_panic]
688fn test_clamp_min_is_nan() {
689 let _ = 1.0f64.clamp(f64::NAN, 1.0);
690}
691
692#[test]
693#[should_panic]
694fn test_clamp_max_is_nan() {
695 let _ = 1.0f64.clamp(3.0, f64::NAN);
696}
697
698#[test]
699fn test_total_cmp() {
700 use core::cmp::Ordering;
701
702 fn quiet_bit_mask() -> u64 {
703 1 << (f64::MANTISSA_DIGITS - 2)
704 }
705
706 fn min_subnorm() -> f64 {
707 f64::MIN_POSITIVE / f64::powf(2.0, f64::MANTISSA_DIGITS as f64 - 1.0)
708 }
709
710 fn max_subnorm() -> f64 {
711 f64::MIN_POSITIVE - min_subnorm()
712 }
713
714 fn q_nan() -> f64 {
715 f64::from_bits(f64::NAN.to_bits() | quiet_bit_mask())
716 }
717
718 fn s_nan() -> f64 {
719 f64::from_bits((f64::NAN.to_bits() & !quiet_bit_mask()) + 42)
720 }
721
722 assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
723 assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
724 assert_eq!(Ordering::Equal, (-f64::INFINITY).total_cmp(&-f64::INFINITY));
725 assert_eq!(Ordering::Equal, (-f64::MAX).total_cmp(&-f64::MAX));
726 assert_eq!(Ordering::Equal, (-2.5_f64).total_cmp(&-2.5));
727 assert_eq!(Ordering::Equal, (-1.0_f64).total_cmp(&-1.0));
728 assert_eq!(Ordering::Equal, (-1.5_f64).total_cmp(&-1.5));
729 assert_eq!(Ordering::Equal, (-0.5_f64).total_cmp(&-0.5));
730 assert_eq!(Ordering::Equal, (-f64::MIN_POSITIVE).total_cmp(&-f64::MIN_POSITIVE));
731 assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
732 assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
733 assert_eq!(Ordering::Equal, (-0.0_f64).total_cmp(&-0.0));
734 assert_eq!(Ordering::Equal, 0.0_f64.total_cmp(&0.0));
735 assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
736 assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
737 assert_eq!(Ordering::Equal, f64::MIN_POSITIVE.total_cmp(&f64::MIN_POSITIVE));
738 assert_eq!(Ordering::Equal, 0.5_f64.total_cmp(&0.5));
739 assert_eq!(Ordering::Equal, 1.0_f64.total_cmp(&1.0));
740 assert_eq!(Ordering::Equal, 1.5_f64.total_cmp(&1.5));
741 assert_eq!(Ordering::Equal, 2.5_f64.total_cmp(&2.5));
742 assert_eq!(Ordering::Equal, f64::MAX.total_cmp(&f64::MAX));
743 assert_eq!(Ordering::Equal, f64::INFINITY.total_cmp(&f64::INFINITY));
744 assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
745 assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
746
747 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
748 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
749 assert_eq!(Ordering::Less, (-f64::INFINITY).total_cmp(&-f64::MAX));
750 assert_eq!(Ordering::Less, (-f64::MAX).total_cmp(&-2.5));
751 assert_eq!(Ordering::Less, (-2.5_f64).total_cmp(&-1.5));
752 assert_eq!(Ordering::Less, (-1.5_f64).total_cmp(&-1.0));
753 assert_eq!(Ordering::Less, (-1.0_f64).total_cmp(&-0.5));
754 assert_eq!(Ordering::Less, (-0.5_f64).total_cmp(&-f64::MIN_POSITIVE));
755 assert_eq!(Ordering::Less, (-f64::MIN_POSITIVE).total_cmp(&-max_subnorm()));
756 assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
757 assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
758 assert_eq!(Ordering::Less, (-0.0_f64).total_cmp(&0.0));
759 assert_eq!(Ordering::Less, 0.0_f64.total_cmp(&min_subnorm()));
760 assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
761 assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f64::MIN_POSITIVE));
762 assert_eq!(Ordering::Less, f64::MIN_POSITIVE.total_cmp(&0.5));
763 assert_eq!(Ordering::Less, 0.5_f64.total_cmp(&1.0));
764 assert_eq!(Ordering::Less, 1.0_f64.total_cmp(&1.5));
765 assert_eq!(Ordering::Less, 1.5_f64.total_cmp(&2.5));
766 assert_eq!(Ordering::Less, 2.5_f64.total_cmp(&f64::MAX));
767 assert_eq!(Ordering::Less, f64::MAX.total_cmp(&f64::INFINITY));
768 assert_eq!(Ordering::Less, f64::INFINITY.total_cmp(&s_nan()));
769 assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
770
771 assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
772 assert_eq!(Ordering::Greater, (-f64::INFINITY).total_cmp(&-s_nan()));
773 assert_eq!(Ordering::Greater, (-f64::MAX).total_cmp(&-f64::INFINITY));
774 assert_eq!(Ordering::Greater, (-2.5_f64).total_cmp(&-f64::MAX));
775 assert_eq!(Ordering::Greater, (-1.5_f64).total_cmp(&-2.5));
776 assert_eq!(Ordering::Greater, (-1.0_f64).total_cmp(&-1.5));
777 assert_eq!(Ordering::Greater, (-0.5_f64).total_cmp(&-1.0));
778 assert_eq!(Ordering::Greater, (-f64::MIN_POSITIVE).total_cmp(&-0.5));
779 assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f64::MIN_POSITIVE));
780 assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
781 assert_eq!(Ordering::Greater, (-0.0_f64).total_cmp(&-min_subnorm()));
782 assert_eq!(Ordering::Greater, 0.0_f64.total_cmp(&-0.0));
783 assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
784 assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
785 assert_eq!(Ordering::Greater, f64::MIN_POSITIVE.total_cmp(&max_subnorm()));
786 assert_eq!(Ordering::Greater, 0.5_f64.total_cmp(&f64::MIN_POSITIVE));
787 assert_eq!(Ordering::Greater, 1.0_f64.total_cmp(&0.5));
788 assert_eq!(Ordering::Greater, 1.5_f64.total_cmp(&1.0));
789 assert_eq!(Ordering::Greater, 2.5_f64.total_cmp(&1.5));
790 assert_eq!(Ordering::Greater, f64::MAX.total_cmp(&2.5));
791 assert_eq!(Ordering::Greater, f64::INFINITY.total_cmp(&f64::MAX));
792 assert_eq!(Ordering::Greater, s_nan().total_cmp(&f64::INFINITY));
793 assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
794
795 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
796 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::INFINITY));
797 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MAX));
798 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
799 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
800 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
801 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
802 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MIN_POSITIVE));
803 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
804 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
805 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
806 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
807 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
808 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
809 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MIN_POSITIVE));
810 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
811 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
812 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
813 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
814 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MAX));
815 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::INFINITY));
816 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
817
818 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
819 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MAX));
820 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
821 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
822 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
823 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
824 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MIN_POSITIVE));
825 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
826 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
827 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
828 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
829 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
830 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
831 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MIN_POSITIVE));
832 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
833 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
834 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
835 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
836 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MAX));
837 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::INFINITY));
838 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
839}