1 use crate::f32::consts;
2 use crate::num::FpCategory as Fp;
12 assert_eq!(f32::NAN.min(2.0), 2.0);
13 assert_eq!(2.0f32.min(f32::NAN), 2.0);
18 assert_eq!(f32::NAN.max(2.0), 2.0);
19 assert_eq!(2.0f32.max(f32::NAN), 2.0);
24 let nan: f32 = f32::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());
36 let inf: f32 = f32::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());
47 fn test_neg_infinity() {
48 let neg_inf: f32 = f32::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());
60 let zero: f32 = 0.0f32;
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());
73 let neg_zero: f32 = -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());
86 let one: f32 = 1.0f32;
88 assert!(!one.is_infinite());
89 assert!(one.is_finite());
90 assert!(one.is_sign_positive());
91 assert!(!one.is_sign_negative());
92 assert!(!one.is_nan());
93 assert!(one.is_normal());
94 assert_eq!(Fp::Normal, one.classify());
99 let nan: f32 = f32::NAN;
100 let inf: f32 = f32::INFINITY;
101 let neg_inf: f32 = f32::NEG_INFINITY;
102 assert!(nan.is_nan());
103 assert!(!0.0f32.is_nan());
104 assert!(!5.3f32.is_nan());
105 assert!(!(-10.732f32).is_nan());
106 assert!(!inf.is_nan());
107 assert!(!neg_inf.is_nan());
111 fn test_is_infinite() {
112 let nan: f32 = f32::NAN;
113 let inf: f32 = f32::INFINITY;
114 let neg_inf: f32 = f32::NEG_INFINITY;
115 assert!(!nan.is_infinite());
116 assert!(inf.is_infinite());
117 assert!(neg_inf.is_infinite());
118 assert!(!0.0f32.is_infinite());
119 assert!(!42.8f32.is_infinite());
120 assert!(!(-109.2f32).is_infinite());
124 fn test_is_finite() {
125 let nan: f32 = f32::NAN;
126 let inf: f32 = f32::INFINITY;
127 let neg_inf: f32 = f32::NEG_INFINITY;
128 assert!(!nan.is_finite());
129 assert!(!inf.is_finite());
130 assert!(!neg_inf.is_finite());
131 assert!(0.0f32.is_finite());
132 assert!(42.8f32.is_finite());
133 assert!((-109.2f32).is_finite());
137 fn test_is_normal() {
138 let nan: f32 = f32::NAN;
139 let inf: f32 = f32::INFINITY;
140 let neg_inf: f32 = f32::NEG_INFINITY;
141 let zero: f32 = 0.0f32;
142 let neg_zero: f32 = -0.0;
143 assert!(!nan.is_normal());
144 assert!(!inf.is_normal());
145 assert!(!neg_inf.is_normal());
146 assert!(!zero.is_normal());
147 assert!(!neg_zero.is_normal());
148 assert!(1f32.is_normal());
149 assert!(1e-37f32.is_normal());
150 assert!(!1e-38f32.is_normal());
155 let nan: f32 = f32::NAN;
156 let inf: f32 = f32::INFINITY;
157 let neg_inf: f32 = f32::NEG_INFINITY;
158 let zero: f32 = 0.0f32;
159 let neg_zero: f32 = -0.0;
160 assert_eq!(nan.classify(), Fp::Nan);
161 assert_eq!(inf.classify(), Fp::Infinite);
162 assert_eq!(neg_inf.classify(), Fp::Infinite);
163 assert_eq!(zero.classify(), Fp::Zero);
164 assert_eq!(neg_zero.classify(), Fp::Zero);
165 assert_eq!(1f32.classify(), Fp::Normal);
166 assert_eq!(1e-37f32.classify(), Fp::Normal);
167 assert_eq!(1e-38f32.classify(), Fp::Subnormal);
172 assert_approx_eq!(1.0f32.floor(), 1.0f32);
173 assert_approx_eq!(1.3f32.floor(), 1.0f32);
174 assert_approx_eq!(1.5f32.floor(), 1.0f32);
175 assert_approx_eq!(1.7f32.floor(), 1.0f32);
176 assert_approx_eq!(0.0f32.floor(), 0.0f32);
177 assert_approx_eq!((-0.0f32).floor(), -0.0f32);
178 assert_approx_eq!((-1.0f32).floor(), -1.0f32);
179 assert_approx_eq!((-1.3f32).floor(), -2.0f32);
180 assert_approx_eq!((-1.5f32).floor(), -2.0f32);
181 assert_approx_eq!((-1.7f32).floor(), -2.0f32);
186 assert_approx_eq!(1.0f32.ceil(), 1.0f32);
187 assert_approx_eq!(1.3f32.ceil(), 2.0f32);
188 assert_approx_eq!(1.5f32.ceil(), 2.0f32);
189 assert_approx_eq!(1.7f32.ceil(), 2.0f32);
190 assert_approx_eq!(0.0f32.ceil(), 0.0f32);
191 assert_approx_eq!((-0.0f32).ceil(), -0.0f32);
192 assert_approx_eq!((-1.0f32).ceil(), -1.0f32);
193 assert_approx_eq!((-1.3f32).ceil(), -1.0f32);
194 assert_approx_eq!((-1.5f32).ceil(), -1.0f32);
195 assert_approx_eq!((-1.7f32).ceil(), -1.0f32);
200 assert_approx_eq!(1.0f32.round(), 1.0f32);
201 assert_approx_eq!(1.3f32.round(), 1.0f32);
202 assert_approx_eq!(1.5f32.round(), 2.0f32);
203 assert_approx_eq!(1.7f32.round(), 2.0f32);
204 assert_approx_eq!(0.0f32.round(), 0.0f32);
205 assert_approx_eq!((-0.0f32).round(), -0.0f32);
206 assert_approx_eq!((-1.0f32).round(), -1.0f32);
207 assert_approx_eq!((-1.3f32).round(), -1.0f32);
208 assert_approx_eq!((-1.5f32).round(), -2.0f32);
209 assert_approx_eq!((-1.7f32).round(), -2.0f32);
214 assert_approx_eq!(1.0f32.trunc(), 1.0f32);
215 assert_approx_eq!(1.3f32.trunc(), 1.0f32);
216 assert_approx_eq!(1.5f32.trunc(), 1.0f32);
217 assert_approx_eq!(1.7f32.trunc(), 1.0f32);
218 assert_approx_eq!(0.0f32.trunc(), 0.0f32);
219 assert_approx_eq!((-0.0f32).trunc(), -0.0f32);
220 assert_approx_eq!((-1.0f32).trunc(), -1.0f32);
221 assert_approx_eq!((-1.3f32).trunc(), -1.0f32);
222 assert_approx_eq!((-1.5f32).trunc(), -1.0f32);
223 assert_approx_eq!((-1.7f32).trunc(), -1.0f32);
228 assert_approx_eq!(1.0f32.fract(), 0.0f32);
229 assert_approx_eq!(1.3f32.fract(), 0.3f32);
230 assert_approx_eq!(1.5f32.fract(), 0.5f32);
231 assert_approx_eq!(1.7f32.fract(), 0.7f32);
232 assert_approx_eq!(0.0f32.fract(), 0.0f32);
233 assert_approx_eq!((-0.0f32).fract(), -0.0f32);
234 assert_approx_eq!((-1.0f32).fract(), -0.0f32);
235 assert_approx_eq!((-1.3f32).fract(), -0.3f32);
236 assert_approx_eq!((-1.5f32).fract(), -0.5f32);
237 assert_approx_eq!((-1.7f32).fract(), -0.7f32);
242 assert_eq!(f32::INFINITY.abs(), f32::INFINITY);
243 assert_eq!(1f32.abs(), 1f32);
244 assert_eq!(0f32.abs(), 0f32);
245 assert_eq!((-0f32).abs(), 0f32);
246 assert_eq!((-1f32).abs(), 1f32);
247 assert_eq!(f32::NEG_INFINITY.abs(), f32::INFINITY);
248 assert_eq!((1f32 / f32::NEG_INFINITY).abs(), 0f32);
249 assert!(f32::NAN.abs().is_nan());
254 assert_eq!(f32::INFINITY.signum(), 1f32);
255 assert_eq!(1f32.signum(), 1f32);
256 assert_eq!(0f32.signum(), 1f32);
257 assert_eq!((-0f32).signum(), -1f32);
258 assert_eq!((-1f32).signum(), -1f32);
259 assert_eq!(f32::NEG_INFINITY.signum(), -1f32);
260 assert_eq!((1f32 / f32::NEG_INFINITY).signum(), -1f32);
261 assert!(f32::NAN.signum().is_nan());
265 fn test_is_sign_positive() {
266 assert!(f32::INFINITY.is_sign_positive());
267 assert!(1f32.is_sign_positive());
268 assert!(0f32.is_sign_positive());
269 assert!(!(-0f32).is_sign_positive());
270 assert!(!(-1f32).is_sign_positive());
271 assert!(!f32::NEG_INFINITY.is_sign_positive());
272 assert!(!(1f32 / f32::NEG_INFINITY).is_sign_positive());
273 assert!(f32::NAN.is_sign_positive());
274 assert!(!(-f32::NAN).is_sign_positive());
278 fn test_is_sign_negative() {
279 assert!(!f32::INFINITY.is_sign_negative());
280 assert!(!1f32.is_sign_negative());
281 assert!(!0f32.is_sign_negative());
282 assert!((-0f32).is_sign_negative());
283 assert!((-1f32).is_sign_negative());
284 assert!(f32::NEG_INFINITY.is_sign_negative());
285 assert!((1f32 / f32::NEG_INFINITY).is_sign_negative());
286 assert!(!f32::NAN.is_sign_negative());
287 assert!((-f32::NAN).is_sign_negative());
292 let nan: f32 = f32::NAN;
293 let inf: f32 = f32::INFINITY;
294 let neg_inf: f32 = f32::NEG_INFINITY;
295 assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05);
296 assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65);
297 assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2);
298 assert_approx_eq!(3.4f32.mul_add(-0.0, 5.6), 5.6);
299 assert!(nan.mul_add(7.8, 9.0).is_nan());
300 assert_eq!(inf.mul_add(7.8, 9.0), inf);
301 assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
302 assert_eq!(8.9f32.mul_add(inf, 3.2), inf);
303 assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf);
308 let nan: f32 = f32::NAN;
309 let inf: f32 = f32::INFINITY;
310 let neg_inf: f32 = f32::NEG_INFINITY;
311 assert_eq!(1.0f32.recip(), 1.0);
312 assert_eq!(2.0f32.recip(), 0.5);
313 assert_eq!((-0.4f32).recip(), -2.5);
314 assert_eq!(0.0f32.recip(), inf);
315 assert!(nan.recip().is_nan());
316 assert_eq!(inf.recip(), 0.0);
317 assert_eq!(neg_inf.recip(), 0.0);
322 let nan: f32 = f32::NAN;
323 let inf: f32 = f32::INFINITY;
324 let neg_inf: f32 = f32::NEG_INFINITY;
325 assert_eq!(1.0f32.powi(1), 1.0);
326 assert_approx_eq!((-3.1f32).powi(2), 9.61);
327 assert_approx_eq!(5.9f32.powi(-2), 0.028727);
328 assert_eq!(8.3f32.powi(0), 1.0);
329 assert!(nan.powi(2).is_nan());
330 assert_eq!(inf.powi(3), inf);
331 assert_eq!(neg_inf.powi(2), inf);
336 let nan: f32 = f32::NAN;
337 let inf: f32 = f32::INFINITY;
338 let neg_inf: f32 = f32::NEG_INFINITY;
339 assert_eq!(1.0f32.powf(1.0), 1.0);
340 assert_approx_eq!(3.4f32.powf(4.5), 246.408218);
341 assert_approx_eq!(2.7f32.powf(-3.2), 0.041652);
342 assert_approx_eq!((-3.1f32).powf(2.0), 9.61);
343 assert_approx_eq!(5.9f32.powf(-2.0), 0.028727);
344 assert_eq!(8.3f32.powf(0.0), 1.0);
345 assert!(nan.powf(2.0).is_nan());
346 assert_eq!(inf.powf(2.0), inf);
347 assert_eq!(neg_inf.powf(3.0), neg_inf);
351 fn test_sqrt_domain() {
352 assert!(f32::NAN.sqrt().is_nan());
353 assert!(f32::NEG_INFINITY.sqrt().is_nan());
354 assert!((-1.0f32).sqrt().is_nan());
355 assert_eq!((-0.0f32).sqrt(), -0.0);
356 assert_eq!(0.0f32.sqrt(), 0.0);
357 assert_eq!(1.0f32.sqrt(), 1.0);
358 assert_eq!(f32::INFINITY.sqrt(), f32::INFINITY);
363 assert_eq!(1.0, 0.0f32.exp());
364 assert_approx_eq!(2.718282, 1.0f32.exp());
365 assert_approx_eq!(148.413162, 5.0f32.exp());
367 let inf: f32 = f32::INFINITY;
368 let neg_inf: f32 = f32::NEG_INFINITY;
369 let nan: f32 = f32::NAN;
370 assert_eq!(inf, inf.exp());
371 assert_eq!(0.0, neg_inf.exp());
372 assert!(nan.exp().is_nan());
377 assert_eq!(32.0, 5.0f32.exp2());
378 assert_eq!(1.0, 0.0f32.exp2());
380 let inf: f32 = f32::INFINITY;
381 let neg_inf: f32 = f32::NEG_INFINITY;
382 let nan: f32 = f32::NAN;
383 assert_eq!(inf, inf.exp2());
384 assert_eq!(0.0, neg_inf.exp2());
385 assert!(nan.exp2().is_nan());
390 let nan: f32 = f32::NAN;
391 let inf: f32 = f32::INFINITY;
392 let neg_inf: f32 = f32::NEG_INFINITY;
393 assert_approx_eq!(1.0f32.exp().ln(), 1.0);
394 assert!(nan.ln().is_nan());
395 assert_eq!(inf.ln(), inf);
396 assert!(neg_inf.ln().is_nan());
397 assert!((-2.3f32).ln().is_nan());
398 assert_eq!((-0.0f32).ln(), neg_inf);
399 assert_eq!(0.0f32.ln(), neg_inf);
400 assert_approx_eq!(4.0f32.ln(), 1.386294);
405 let nan: f32 = f32::NAN;
406 let inf: f32 = f32::INFINITY;
407 let neg_inf: f32 = f32::NEG_INFINITY;
408 assert_eq!(10.0f32.log(10.0), 1.0);
409 assert_approx_eq!(2.3f32.log(3.5), 0.664858);
410 assert_eq!(1.0f32.exp().log(1.0f32.exp()), 1.0);
411 assert!(1.0f32.log(1.0).is_nan());
412 assert!(1.0f32.log(-13.9).is_nan());
413 assert!(nan.log(2.3).is_nan());
414 assert_eq!(inf.log(10.0), inf);
415 assert!(neg_inf.log(8.8).is_nan());
416 assert!((-2.3f32).log(0.1).is_nan());
417 assert_eq!((-0.0f32).log(2.0), neg_inf);
418 assert_eq!(0.0f32.log(7.0), neg_inf);
423 let nan: f32 = f32::NAN;
424 let inf: f32 = f32::INFINITY;
425 let neg_inf: f32 = f32::NEG_INFINITY;
426 assert_approx_eq!(10.0f32.log2(), 3.321928);
427 assert_approx_eq!(2.3f32.log2(), 1.201634);
428 assert_approx_eq!(1.0f32.exp().log2(), 1.442695);
429 assert!(nan.log2().is_nan());
430 assert_eq!(inf.log2(), inf);
431 assert!(neg_inf.log2().is_nan());
432 assert!((-2.3f32).log2().is_nan());
433 assert_eq!((-0.0f32).log2(), neg_inf);
434 assert_eq!(0.0f32.log2(), neg_inf);
439 let nan: f32 = f32::NAN;
440 let inf: f32 = f32::INFINITY;
441 let neg_inf: f32 = f32::NEG_INFINITY;
442 assert_eq!(10.0f32.log10(), 1.0);
443 assert_approx_eq!(2.3f32.log10(), 0.361728);
444 assert_approx_eq!(1.0f32.exp().log10(), 0.434294);
445 assert_eq!(1.0f32.log10(), 0.0);
446 assert!(nan.log10().is_nan());
447 assert_eq!(inf.log10(), inf);
448 assert!(neg_inf.log10().is_nan());
449 assert!((-2.3f32).log10().is_nan());
450 assert_eq!((-0.0f32).log10(), neg_inf);
451 assert_eq!(0.0f32.log10(), neg_inf);
455 fn test_to_degrees() {
456 let pi: f32 = consts::PI;
457 let nan: f32 = f32::NAN;
458 let inf: f32 = f32::INFINITY;
459 let neg_inf: f32 = f32::NEG_INFINITY;
460 assert_eq!(0.0f32.to_degrees(), 0.0);
461 assert_approx_eq!((-5.8f32).to_degrees(), -332.315521);
462 assert_eq!(pi.to_degrees(), 180.0);
463 assert!(nan.to_degrees().is_nan());
464 assert_eq!(inf.to_degrees(), inf);
465 assert_eq!(neg_inf.to_degrees(), neg_inf);
466 assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703);
470 fn test_to_radians() {
471 let pi: f32 = consts::PI;
472 let nan: f32 = f32::NAN;
473 let inf: f32 = f32::INFINITY;
474 let neg_inf: f32 = f32::NEG_INFINITY;
475 assert_eq!(0.0f32.to_radians(), 0.0);
476 assert_approx_eq!(154.6f32.to_radians(), 2.698279);
477 assert_approx_eq!((-332.31f32).to_radians(), -5.799903);
478 assert_eq!(180.0f32.to_radians(), pi);
479 assert!(nan.to_radians().is_nan());
480 assert_eq!(inf.to_radians(), inf);
481 assert_eq!(neg_inf.to_radians(), neg_inf);
486 assert_eq!(0.0f32.asinh(), 0.0f32);
487 assert_eq!((-0.0f32).asinh(), -0.0f32);
489 let inf: f32 = f32::INFINITY;
490 let neg_inf: f32 = f32::NEG_INFINITY;
491 let nan: f32 = f32::NAN;
492 assert_eq!(inf.asinh(), inf);
493 assert_eq!(neg_inf.asinh(), neg_inf);
494 assert!(nan.asinh().is_nan());
495 assert!((-0.0f32).asinh().is_sign_negative()); // issue 63271
496 assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32);
497 assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32);
498 // regression test for the catastrophic cancellation fixed in 72486
499 assert_approx_eq!((-3000.0f32).asinh(), -8.699514775987968673236893537700647f32);
504 assert_eq!(1.0f32.acosh(), 0.0f32);
505 assert!(0.999f32.acosh().is_nan());
507 let inf: f32 = f32::INFINITY;
508 let neg_inf: f32 = f32::NEG_INFINITY;
509 let nan: f32 = f32::NAN;
510 assert_eq!(inf.acosh(), inf);
511 assert!(neg_inf.acosh().is_nan());
512 assert!(nan.acosh().is_nan());
513 assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32);
514 assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32);
519 assert_eq!(0.0f32.atanh(), 0.0f32);
520 assert_eq!((-0.0f32).atanh(), -0.0f32);
522 let inf32: f32 = f32::INFINITY;
523 let neg_inf32: f32 = f32::NEG_INFINITY;
524 assert_eq!(1.0f32.atanh(), inf32);
525 assert_eq!((-1.0f32).atanh(), neg_inf32);
527 assert!(2f64.atanh().atanh().is_nan());
528 assert!((-2f64).atanh().atanh().is_nan());
530 let inf64: f32 = f32::INFINITY;
531 let neg_inf64: f32 = f32::NEG_INFINITY;
532 let nan32: f32 = f32::NAN;
533 assert!(inf64.atanh().is_nan());
534 assert!(neg_inf64.atanh().is_nan());
535 assert!(nan32.atanh().is_nan());
537 assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32);
538 assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32);
542 fn test_real_consts() {
545 let pi: f32 = consts::PI;
546 let frac_pi_2: f32 = consts::FRAC_PI_2;
547 let frac_pi_3: f32 = consts::FRAC_PI_3;
548 let frac_pi_4: f32 = consts::FRAC_PI_4;
549 let frac_pi_6: f32 = consts::FRAC_PI_6;
550 let frac_pi_8: f32 = consts::FRAC_PI_8;
551 let frac_1_pi: f32 = consts::FRAC_1_PI;
552 let frac_2_pi: f32 = consts::FRAC_2_PI;
553 let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRT_PI;
554 let sqrt2: f32 = consts::SQRT_2;
555 let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT_2;
556 let e: f32 = consts::E;
557 let log2_e: f32 = consts::LOG2_E;
558 let log10_e: f32 = consts::LOG10_E;
559 let ln_2: f32 = consts::LN_2;
560 let ln_10: f32 = consts::LN_10;
562 assert_approx_eq!(frac_pi_2, pi / 2f32);
563 assert_approx_eq!(frac_pi_3, pi / 3f32);
564 assert_approx_eq!(frac_pi_4, pi / 4f32);
565 assert_approx_eq!(frac_pi_6, pi / 6f32);
566 assert_approx_eq!(frac_pi_8, pi / 8f32);
567 assert_approx_eq!(frac_1_pi, 1f32 / pi);
568 assert_approx_eq!(frac_2_pi, 2f32 / pi);
569 assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt());
570 assert_approx_eq!(sqrt2, 2f32.sqrt());
571 assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt());
572 assert_approx_eq!(log2_e, e.log2());
573 assert_approx_eq!(log10_e, e.log10());
574 assert_approx_eq!(ln_2, 2f32.ln());
575 assert_approx_eq!(ln_10, 10f32.ln());
579 fn test_float_bits_conv() {
580 assert_eq!((1f32).to_bits(), 0x3f800000);
581 assert_eq!((12.5f32).to_bits(), 0x41480000);
582 assert_eq!((1337f32).to_bits(), 0x44a72000);
583 assert_eq!((-14.25f32).to_bits(), 0xc1640000);
584 assert_approx_eq!(f32::from_bits(0x3f800000), 1.0);
585 assert_approx_eq!(f32::from_bits(0x41480000), 12.5);
586 assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0);
587 assert_approx_eq!(f32::from_bits(0xc1640000), -14.25);
589 // Check that NaNs roundtrip their bits regardless of signaling-ness
590 // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
591 let masked_nan1 = f32::NAN.to_bits() ^ 0x002A_AAAA;
592 let masked_nan2 = f32::NAN.to_bits() ^ 0x0055_5555;
593 assert!(f32::from_bits(masked_nan1).is_nan());
594 assert!(f32::from_bits(masked_nan2).is_nan());
596 assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1);
597 assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2);
602 fn test_clamp_min_greater_than_max() {
603 let _ = 1.0f32.clamp(3.0, 1.0);
608 fn test_clamp_min_is_nan() {
609 let _ = 1.0f32.clamp(f32::NAN, 1.0);
614 fn test_clamp_max_is_nan() {
615 let _ = 1.0f32.clamp(3.0, f32::NAN);
619 fn test_total_cmp() {
620 use core::cmp::Ordering;
622 fn quiet_bit_mask() -> u32 {
623 1 << (f32::MANTISSA_DIGITS - 2)
626 fn min_subnorm() -> f32 {
627 f32::MIN_POSITIVE / f32::powf(2.0, f32::MANTISSA_DIGITS as f32 - 1.0)
630 fn max_subnorm() -> f32 {
631 f32::MIN_POSITIVE - min_subnorm()
635 f32::from_bits(f32::NAN.to_bits() | quiet_bit_mask())
639 f32::from_bits((f32::NAN.to_bits() & !quiet_bit_mask()) + 42)
642 assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
643 assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
644 assert_eq!(Ordering::Equal, (-f32::INFINITY).total_cmp(&-f32::INFINITY));
645 assert_eq!(Ordering::Equal, (-f32::MAX).total_cmp(&-f32::MAX));
646 assert_eq!(Ordering::Equal, (-2.5_f32).total_cmp(&-2.5));
647 assert_eq!(Ordering::Equal, (-1.0_f32).total_cmp(&-1.0));
648 assert_eq!(Ordering::Equal, (-1.5_f32).total_cmp(&-1.5));
649 assert_eq!(Ordering::Equal, (-0.5_f32).total_cmp(&-0.5));
650 assert_eq!(Ordering::Equal, (-f32::MIN_POSITIVE).total_cmp(&-f32::MIN_POSITIVE));
651 assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
652 assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
653 assert_eq!(Ordering::Equal, (-0.0_f32).total_cmp(&-0.0));
654 assert_eq!(Ordering::Equal, 0.0_f32.total_cmp(&0.0));
655 assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
656 assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
657 assert_eq!(Ordering::Equal, f32::MIN_POSITIVE.total_cmp(&f32::MIN_POSITIVE));
658 assert_eq!(Ordering::Equal, 0.5_f32.total_cmp(&0.5));
659 assert_eq!(Ordering::Equal, 1.0_f32.total_cmp(&1.0));
660 assert_eq!(Ordering::Equal, 1.5_f32.total_cmp(&1.5));
661 assert_eq!(Ordering::Equal, 2.5_f32.total_cmp(&2.5));
662 assert_eq!(Ordering::Equal, f32::MAX.total_cmp(&f32::MAX));
663 assert_eq!(Ordering::Equal, f32::INFINITY.total_cmp(&f32::INFINITY));
664 assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
665 assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
667 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
668 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
669 assert_eq!(Ordering::Less, (-f32::INFINITY).total_cmp(&-f32::MAX));
670 assert_eq!(Ordering::Less, (-f32::MAX).total_cmp(&-2.5));
671 assert_eq!(Ordering::Less, (-2.5_f32).total_cmp(&-1.5));
672 assert_eq!(Ordering::Less, (-1.5_f32).total_cmp(&-1.0));
673 assert_eq!(Ordering::Less, (-1.0_f32).total_cmp(&-0.5));
674 assert_eq!(Ordering::Less, (-0.5_f32).total_cmp(&-f32::MIN_POSITIVE));
675 assert_eq!(Ordering::Less, (-f32::MIN_POSITIVE).total_cmp(&-max_subnorm()));
676 assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
677 assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
678 assert_eq!(Ordering::Less, (-0.0_f32).total_cmp(&0.0));
679 assert_eq!(Ordering::Less, 0.0_f32.total_cmp(&min_subnorm()));
680 assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
681 assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f32::MIN_POSITIVE));
682 assert_eq!(Ordering::Less, f32::MIN_POSITIVE.total_cmp(&0.5));
683 assert_eq!(Ordering::Less, 0.5_f32.total_cmp(&1.0));
684 assert_eq!(Ordering::Less, 1.0_f32.total_cmp(&1.5));
685 assert_eq!(Ordering::Less, 1.5_f32.total_cmp(&2.5));
686 assert_eq!(Ordering::Less, 2.5_f32.total_cmp(&f32::MAX));
687 assert_eq!(Ordering::Less, f32::MAX.total_cmp(&f32::INFINITY));
688 assert_eq!(Ordering::Less, f32::INFINITY.total_cmp(&s_nan()));
689 assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
691 assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
692 assert_eq!(Ordering::Greater, (-f32::INFINITY).total_cmp(&-s_nan()));
693 assert_eq!(Ordering::Greater, (-f32::MAX).total_cmp(&-f32::INFINITY));
694 assert_eq!(Ordering::Greater, (-2.5_f32).total_cmp(&-f32::MAX));
695 assert_eq!(Ordering::Greater, (-1.5_f32).total_cmp(&-2.5));
696 assert_eq!(Ordering::Greater, (-1.0_f32).total_cmp(&-1.5));
697 assert_eq!(Ordering::Greater, (-0.5_f32).total_cmp(&-1.0));
698 assert_eq!(Ordering::Greater, (-f32::MIN_POSITIVE).total_cmp(&-0.5));
699 assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f32::MIN_POSITIVE));
700 assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
701 assert_eq!(Ordering::Greater, (-0.0_f32).total_cmp(&-min_subnorm()));
702 assert_eq!(Ordering::Greater, 0.0_f32.total_cmp(&-0.0));
703 assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
704 assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
705 assert_eq!(Ordering::Greater, f32::MIN_POSITIVE.total_cmp(&max_subnorm()));
706 assert_eq!(Ordering::Greater, 0.5_f32.total_cmp(&f32::MIN_POSITIVE));
707 assert_eq!(Ordering::Greater, 1.0_f32.total_cmp(&0.5));
708 assert_eq!(Ordering::Greater, 1.5_f32.total_cmp(&1.0));
709 assert_eq!(Ordering::Greater, 2.5_f32.total_cmp(&1.5));
710 assert_eq!(Ordering::Greater, f32::MAX.total_cmp(&2.5));
711 assert_eq!(Ordering::Greater, f32::INFINITY.total_cmp(&f32::MAX));
712 assert_eq!(Ordering::Greater, s_nan().total_cmp(&f32::INFINITY));
713 assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
715 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
716 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::INFINITY));
717 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MAX));
718 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
719 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
720 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
721 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
722 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MIN_POSITIVE));
723 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
724 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
725 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
726 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
727 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
728 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
729 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MIN_POSITIVE));
730 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
731 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
732 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
733 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
734 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MAX));
735 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::INFINITY));
736 assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
738 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
739 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MAX));
740 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
741 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
742 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
743 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
744 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MIN_POSITIVE));
745 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
746 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
747 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
748 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
749 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
750 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
751 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MIN_POSITIVE));
752 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
753 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
754 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
755 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
756 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MAX));
757 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::INFINITY));
758 assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));