]>
Commit | Line | Data |
---|---|---|
cc61c64b | 1 | //! This module provides constants which are specific to the implementation |
ff7c6d11 | 2 | //! of the `f64` floating point data type. |
c1a9b12d | 3 | //! |
ff7c6d11 | 4 | //! *[See also the `f64` primitive type](../../std/primitive.f64.html).* |
94b46f34 XL |
5 | //! |
6 | //! Mathematically significant numbers are provided in the `consts` sub-module. | |
74b04a01 XL |
7 | //! |
8 | //! Although using these constants won’t cause compilation warnings, | |
9 | //! new code should use the associated constants directly on the primitive type. | |
970d7e83 | 10 | |
85aaf69f | 11 | #![stable(feature = "rust1", since = "1.0.0")] |
1a4d82fc | 12 | #![allow(missing_docs)] |
970d7e83 | 13 | |
9cc50fc6 | 14 | #[cfg(not(test))] |
532ac7d7 | 15 | use crate::intrinsics; |
9cc50fc6 | 16 | #[cfg(not(test))] |
532ac7d7 | 17 | use crate::sys::cmath; |
1a4d82fc | 18 | |
92a42be0 | 19 | #[stable(feature = "rust1", since = "1.0.0")] |
60c5eb7d | 20 | pub use core::f64::consts; |
92a42be0 | 21 | #[stable(feature = "rust1", since = "1.0.0")] |
60c5eb7d | 22 | pub use core::f64::{DIGITS, EPSILON, MANTISSA_DIGITS, RADIX}; |
92a42be0 | 23 | #[stable(feature = "rust1", since = "1.0.0")] |
60c5eb7d | 24 | pub use core::f64::{INFINITY, MAX_10_EXP, NAN, NEG_INFINITY}; |
92a42be0 | 25 | #[stable(feature = "rust1", since = "1.0.0")] |
60c5eb7d | 26 | pub use core::f64::{MAX, MIN, MIN_POSITIVE}; |
92a42be0 | 27 | #[stable(feature = "rust1", since = "1.0.0")] |
60c5eb7d | 28 | pub use core::f64::{MAX_EXP, MIN_10_EXP, MIN_EXP}; |
1a4d82fc | 29 | |
c34b1796 | 30 | #[cfg(not(test))] |
94b46f34 | 31 | #[lang = "f64_runtime"] |
c34b1796 | 32 | impl f64 { |
c34b1796 AL |
33 | /// Returns the largest integer less than or equal to a number. |
34 | /// | |
94b46f34 XL |
35 | /// # Examples |
36 | /// | |
c34b1796 | 37 | /// ``` |
532ac7d7 | 38 | /// let f = 3.7_f64; |
c34b1796 | 39 | /// let g = 3.0_f64; |
532ac7d7 | 40 | /// let h = -3.7_f64; |
c34b1796 AL |
41 | /// |
42 | /// assert_eq!(f.floor(), 3.0); | |
43 | /// assert_eq!(g.floor(), 3.0); | |
532ac7d7 | 44 | /// assert_eq!(h.floor(), -4.0); |
c34b1796 | 45 | /// ``` |
60c5eb7d | 46 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
47 | #[stable(feature = "rust1", since = "1.0.0")] |
48 | #[inline] | |
e9174d1e SL |
49 | pub fn floor(self) -> f64 { |
50 | unsafe { intrinsics::floorf64(self) } | |
51 | } | |
970d7e83 | 52 | |
c34b1796 AL |
53 | /// Returns the smallest integer greater than or equal to a number. |
54 | /// | |
94b46f34 XL |
55 | /// # Examples |
56 | /// | |
c34b1796 AL |
57 | /// ``` |
58 | /// let f = 3.01_f64; | |
59 | /// let g = 4.0_f64; | |
60 | /// | |
61 | /// assert_eq!(f.ceil(), 4.0); | |
62 | /// assert_eq!(g.ceil(), 4.0); | |
63 | /// ``` | |
60c5eb7d | 64 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
65 | #[stable(feature = "rust1", since = "1.0.0")] |
66 | #[inline] | |
e9174d1e SL |
67 | pub fn ceil(self) -> f64 { |
68 | unsafe { intrinsics::ceilf64(self) } | |
69 | } | |
970d7e83 | 70 | |
c34b1796 AL |
71 | /// Returns the nearest integer to a number. Round half-way cases away from |
72 | /// `0.0`. | |
73 | /// | |
94b46f34 XL |
74 | /// # Examples |
75 | /// | |
c34b1796 AL |
76 | /// ``` |
77 | /// let f = 3.3_f64; | |
78 | /// let g = -3.3_f64; | |
79 | /// | |
80 | /// assert_eq!(f.round(), 3.0); | |
81 | /// assert_eq!(g.round(), -3.0); | |
82 | /// ``` | |
60c5eb7d | 83 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
84 | #[stable(feature = "rust1", since = "1.0.0")] |
85 | #[inline] | |
e9174d1e SL |
86 | pub fn round(self) -> f64 { |
87 | unsafe { intrinsics::roundf64(self) } | |
88 | } | |
970d7e83 | 89 | |
9346a6ac | 90 | /// Returns the integer part of a number. |
c34b1796 | 91 | /// |
94b46f34 XL |
92 | /// # Examples |
93 | /// | |
c34b1796 | 94 | /// ``` |
532ac7d7 XL |
95 | /// let f = 3.7_f64; |
96 | /// let g = 3.0_f64; | |
97 | /// let h = -3.7_f64; | |
c34b1796 AL |
98 | /// |
99 | /// assert_eq!(f.trunc(), 3.0); | |
532ac7d7 XL |
100 | /// assert_eq!(g.trunc(), 3.0); |
101 | /// assert_eq!(h.trunc(), -3.0); | |
c34b1796 | 102 | /// ``` |
60c5eb7d | 103 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
104 | #[stable(feature = "rust1", since = "1.0.0")] |
105 | #[inline] | |
e9174d1e SL |
106 | pub fn trunc(self) -> f64 { |
107 | unsafe { intrinsics::truncf64(self) } | |
108 | } | |
970d7e83 | 109 | |
c34b1796 AL |
110 | /// Returns the fractional part of a number. |
111 | /// | |
94b46f34 XL |
112 | /// # Examples |
113 | /// | |
c34b1796 | 114 | /// ``` |
dfeec247 XL |
115 | /// let x = 3.6_f64; |
116 | /// let y = -3.6_f64; | |
117 | /// let abs_difference_x = (x.fract() - 0.6).abs(); | |
118 | /// let abs_difference_y = (y.fract() - (-0.6)).abs(); | |
c34b1796 AL |
119 | /// |
120 | /// assert!(abs_difference_x < 1e-10); | |
121 | /// assert!(abs_difference_y < 1e-10); | |
122 | /// ``` | |
60c5eb7d | 123 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
124 | #[stable(feature = "rust1", since = "1.0.0")] |
125 | #[inline] | |
60c5eb7d XL |
126 | pub fn fract(self) -> f64 { |
127 | self - self.trunc() | |
128 | } | |
970d7e83 | 129 | |
c34b1796 AL |
130 | /// Computes the absolute value of `self`. Returns `NAN` if the |
131 | /// number is `NAN`. | |
132 | /// | |
94b46f34 XL |
133 | /// # Examples |
134 | /// | |
c34b1796 | 135 | /// ``` |
c34b1796 AL |
136 | /// let x = 3.5_f64; |
137 | /// let y = -3.5_f64; | |
138 | /// | |
139 | /// let abs_difference_x = (x.abs() - x).abs(); | |
140 | /// let abs_difference_y = (y.abs() - (-y)).abs(); | |
141 | /// | |
142 | /// assert!(abs_difference_x < 1e-10); | |
143 | /// assert!(abs_difference_y < 1e-10); | |
144 | /// | |
145 | /// assert!(f64::NAN.abs().is_nan()); | |
146 | /// ``` | |
60c5eb7d | 147 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
148 | #[stable(feature = "rust1", since = "1.0.0")] |
149 | #[inline] | |
83c7162d XL |
150 | pub fn abs(self) -> f64 { |
151 | unsafe { intrinsics::fabsf64(self) } | |
152 | } | |
970d7e83 | 153 | |
c34b1796 AL |
154 | /// Returns a number that represents the sign of `self`. |
155 | /// | |
156 | /// - `1.0` if the number is positive, `+0.0` or `INFINITY` | |
157 | /// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY` | |
158 | /// - `NAN` if the number is `NAN` | |
159 | /// | |
94b46f34 XL |
160 | /// # Examples |
161 | /// | |
c34b1796 | 162 | /// ``` |
c34b1796 AL |
163 | /// let f = 3.5_f64; |
164 | /// | |
165 | /// assert_eq!(f.signum(), 1.0); | |
166 | /// assert_eq!(f64::NEG_INFINITY.signum(), -1.0); | |
167 | /// | |
168 | /// assert!(f64::NAN.signum().is_nan()); | |
169 | /// ``` | |
60c5eb7d | 170 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
171 | #[stable(feature = "rust1", since = "1.0.0")] |
172 | #[inline] | |
83c7162d | 173 | pub fn signum(self) -> f64 { |
f9f354fc | 174 | if self.is_nan() { Self::NAN } else { 1.0_f64.copysign(self) } |
83c7162d | 175 | } |
970d7e83 | 176 | |
0bf4aa26 | 177 | /// Returns a number composed of the magnitude of `self` and the sign of |
532ac7d7 | 178 | /// `sign`. |
0bf4aa26 | 179 | /// |
532ac7d7 | 180 | /// Equal to `self` if the sign of `self` and `sign` are the same, otherwise |
0bf4aa26 | 181 | /// equal to `-self`. If `self` is a `NAN`, then a `NAN` with the sign of |
532ac7d7 | 182 | /// `sign` is returned. |
0bf4aa26 XL |
183 | /// |
184 | /// # Examples | |
185 | /// | |
186 | /// ``` | |
0bf4aa26 XL |
187 | /// let f = 3.5_f64; |
188 | /// | |
189 | /// assert_eq!(f.copysign(0.42), 3.5_f64); | |
190 | /// assert_eq!(f.copysign(-0.42), -3.5_f64); | |
191 | /// assert_eq!((-f).copysign(0.42), 3.5_f64); | |
192 | /// assert_eq!((-f).copysign(-0.42), -3.5_f64); | |
193 | /// | |
194 | /// assert!(f64::NAN.copysign(1.0).is_nan()); | |
195 | /// ``` | |
60c5eb7d | 196 | #[must_use = "method returns a new number and does not mutate the original value"] |
532ac7d7 | 197 | #[stable(feature = "copysign", since = "1.35.0")] |
60c5eb7d | 198 | #[inline] |
532ac7d7 XL |
199 | pub fn copysign(self, sign: f64) -> f64 { |
200 | unsafe { intrinsics::copysignf64(self, sign) } | |
0bf4aa26 XL |
201 | } |
202 | ||
c34b1796 | 203 | /// Fused multiply-add. Computes `(self * a) + b` with only one rounding |
94b46f34 XL |
204 | /// error, yielding a more accurate result than an unfused multiply-add. |
205 | /// | |
206 | /// Using `mul_add` can be more performant than an unfused multiply-add if | |
207 | /// the target architecture has a dedicated `fma` CPU instruction. | |
208 | /// | |
209 | /// # Examples | |
c34b1796 AL |
210 | /// |
211 | /// ``` | |
212 | /// let m = 10.0_f64; | |
213 | /// let x = 4.0_f64; | |
214 | /// let b = 60.0_f64; | |
215 | /// | |
216 | /// // 100.0 | |
e1599b0c | 217 | /// let abs_difference = (m.mul_add(x, b) - ((m * x) + b)).abs(); |
c34b1796 AL |
218 | /// |
219 | /// assert!(abs_difference < 1e-10); | |
220 | /// ``` | |
60c5eb7d | 221 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
222 | #[stable(feature = "rust1", since = "1.0.0")] |
223 | #[inline] | |
e9174d1e SL |
224 | pub fn mul_add(self, a: f64, b: f64) -> f64 { |
225 | unsafe { intrinsics::fmaf64(self, a, b) } | |
226 | } | |
85aaf69f | 227 | |
0731742a | 228 | /// Calculates Euclidean division, the matching method for `rem_euclid`. |
83c7162d XL |
229 | /// |
230 | /// This computes the integer `n` such that | |
0731742a | 231 | /// `self = n * rhs + self.rem_euclid(rhs)`. |
83c7162d XL |
232 | /// In other words, the result is `self / rhs` rounded to the integer `n` |
233 | /// such that `self >= n * rhs`. | |
c34b1796 | 234 | /// |
94b46f34 XL |
235 | /// # Examples |
236 | /// | |
c34b1796 | 237 | /// ``` |
83c7162d XL |
238 | /// let a: f64 = 7.0; |
239 | /// let b = 4.0; | |
0731742a XL |
240 | /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0 |
241 | /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0 | |
242 | /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0 | |
243 | /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0 | |
83c7162d | 244 | /// ``` |
60c5eb7d | 245 | #[must_use = "method returns a new number and does not mutate the original value"] |
83c7162d | 246 | #[inline] |
416331ca | 247 | #[stable(feature = "euclidean_division", since = "1.38.0")] |
0731742a | 248 | pub fn div_euclid(self, rhs: f64) -> f64 { |
83c7162d XL |
249 | let q = (self / rhs).trunc(); |
250 | if self % rhs < 0.0 { | |
e1599b0c | 251 | return if rhs > 0.0 { q - 1.0 } else { q + 1.0 }; |
83c7162d XL |
252 | } |
253 | q | |
254 | } | |
255 | ||
0731742a | 256 | /// Calculates the least nonnegative remainder of `self (mod rhs)`. |
83c7162d | 257 | /// |
8faf50e0 | 258 | /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in |
9fa01778 | 259 | /// most cases. However, due to a floating point round-off error it can |
8faf50e0 XL |
260 | /// result in `r == rhs.abs()`, violating the mathematical definition, if |
261 | /// `self` is much smaller than `rhs.abs()` in magnitude and `self < 0.0`. | |
262 | /// This result is not an element of the function's codomain, but it is the | |
263 | /// closest floating point number in the real numbers and thus fulfills the | |
0731742a | 264 | /// property `self == self.div_euclid(rhs) * rhs + self.rem_euclid(rhs)` |
8faf50e0 | 265 | /// approximatively. |
c34b1796 | 266 | /// |
94b46f34 XL |
267 | /// # Examples |
268 | /// | |
c34b1796 | 269 | /// ``` |
83c7162d XL |
270 | /// let a: f64 = 7.0; |
271 | /// let b = 4.0; | |
0731742a XL |
272 | /// assert_eq!(a.rem_euclid(b), 3.0); |
273 | /// assert_eq!((-a).rem_euclid(b), 1.0); | |
274 | /// assert_eq!(a.rem_euclid(-b), 3.0); | |
275 | /// assert_eq!((-a).rem_euclid(-b), 1.0); | |
8faf50e0 | 276 | /// // limitation due to round-off error |
ba9703b0 | 277 | /// assert!((-f64::EPSILON).rem_euclid(3.0) != 0.0); |
83c7162d | 278 | /// ``` |
60c5eb7d | 279 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 | 280 | #[inline] |
416331ca | 281 | #[stable(feature = "euclidean_division", since = "1.38.0")] |
0731742a | 282 | pub fn rem_euclid(self, rhs: f64) -> f64 { |
83c7162d | 283 | let r = self % rhs; |
60c5eb7d | 284 | if r < 0.0 { r + rhs.abs() } else { r } |
83c7162d | 285 | } |
c34b1796 | 286 | |
9346a6ac | 287 | /// Raises a number to an integer power. |
c34b1796 AL |
288 | /// |
289 | /// Using this function is generally faster than using `powf` | |
290 | /// | |
94b46f34 XL |
291 | /// # Examples |
292 | /// | |
c34b1796 AL |
293 | /// ``` |
294 | /// let x = 2.0_f64; | |
e1599b0c | 295 | /// let abs_difference = (x.powi(2) - (x * x)).abs(); |
c34b1796 AL |
296 | /// |
297 | /// assert!(abs_difference < 1e-10); | |
298 | /// ``` | |
60c5eb7d | 299 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
300 | #[stable(feature = "rust1", since = "1.0.0")] |
301 | #[inline] | |
83c7162d XL |
302 | pub fn powi(self, n: i32) -> f64 { |
303 | unsafe { intrinsics::powif64(self, n) } | |
304 | } | |
c34b1796 | 305 | |
9346a6ac | 306 | /// Raises a number to a floating point power. |
c34b1796 | 307 | /// |
94b46f34 XL |
308 | /// # Examples |
309 | /// | |
c34b1796 AL |
310 | /// ``` |
311 | /// let x = 2.0_f64; | |
e1599b0c | 312 | /// let abs_difference = (x.powf(2.0) - (x * x)).abs(); |
c34b1796 AL |
313 | /// |
314 | /// assert!(abs_difference < 1e-10); | |
315 | /// ``` | |
60c5eb7d | 316 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
317 | #[stable(feature = "rust1", since = "1.0.0")] |
318 | #[inline] | |
e9174d1e SL |
319 | pub fn powf(self, n: f64) -> f64 { |
320 | unsafe { intrinsics::powf64(self, n) } | |
321 | } | |
c34b1796 | 322 | |
dfeec247 | 323 | /// Returns the square root of a number. |
c34b1796 AL |
324 | /// |
325 | /// Returns NaN if `self` is a negative number. | |
326 | /// | |
94b46f34 XL |
327 | /// # Examples |
328 | /// | |
c34b1796 AL |
329 | /// ``` |
330 | /// let positive = 4.0_f64; | |
331 | /// let negative = -4.0_f64; | |
332 | /// | |
333 | /// let abs_difference = (positive.sqrt() - 2.0).abs(); | |
334 | /// | |
335 | /// assert!(abs_difference < 1e-10); | |
336 | /// assert!(negative.sqrt().is_nan()); | |
337 | /// ``` | |
60c5eb7d | 338 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
339 | #[stable(feature = "rust1", since = "1.0.0")] |
340 | #[inline] | |
e9174d1e | 341 | pub fn sqrt(self) -> f64 { |
dfeec247 | 342 | unsafe { intrinsics::sqrtf64(self) } |
e9174d1e | 343 | } |
c34b1796 | 344 | |
c34b1796 AL |
345 | /// Returns `e^(self)`, (the exponential function). |
346 | /// | |
94b46f34 XL |
347 | /// # Examples |
348 | /// | |
c34b1796 AL |
349 | /// ``` |
350 | /// let one = 1.0_f64; | |
351 | /// // e^1 | |
352 | /// let e = one.exp(); | |
353 | /// | |
354 | /// // ln(e) - 1 == 0 | |
355 | /// let abs_difference = (e.ln() - 1.0).abs(); | |
356 | /// | |
357 | /// assert!(abs_difference < 1e-10); | |
358 | /// ``` | |
60c5eb7d | 359 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
360 | #[stable(feature = "rust1", since = "1.0.0")] |
361 | #[inline] | |
e9174d1e SL |
362 | pub fn exp(self) -> f64 { |
363 | unsafe { intrinsics::expf64(self) } | |
364 | } | |
c34b1796 AL |
365 | |
366 | /// Returns `2^(self)`. | |
367 | /// | |
94b46f34 XL |
368 | /// # Examples |
369 | /// | |
c34b1796 AL |
370 | /// ``` |
371 | /// let f = 2.0_f64; | |
372 | /// | |
373 | /// // 2^2 - 4 == 0 | |
374 | /// let abs_difference = (f.exp2() - 4.0).abs(); | |
375 | /// | |
376 | /// assert!(abs_difference < 1e-10); | |
377 | /// ``` | |
60c5eb7d | 378 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
379 | #[stable(feature = "rust1", since = "1.0.0")] |
380 | #[inline] | |
e9174d1e SL |
381 | pub fn exp2(self) -> f64 { |
382 | unsafe { intrinsics::exp2f64(self) } | |
383 | } | |
c34b1796 AL |
384 | |
385 | /// Returns the natural logarithm of the number. | |
386 | /// | |
94b46f34 XL |
387 | /// # Examples |
388 | /// | |
c34b1796 AL |
389 | /// ``` |
390 | /// let one = 1.0_f64; | |
391 | /// // e^1 | |
392 | /// let e = one.exp(); | |
393 | /// | |
394 | /// // ln(e) - 1 == 0 | |
395 | /// let abs_difference = (e.ln() - 1.0).abs(); | |
396 | /// | |
397 | /// assert!(abs_difference < 1e-10); | |
398 | /// ``` | |
60c5eb7d | 399 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
400 | #[stable(feature = "rust1", since = "1.0.0")] |
401 | #[inline] | |
e9174d1e | 402 | pub fn ln(self) -> f64 { |
60c5eb7d | 403 | self.log_wrapper(|n| unsafe { intrinsics::logf64(n) }) |
e9174d1e | 404 | } |
c34b1796 AL |
405 | |
406 | /// Returns the logarithm of the number with respect to an arbitrary base. | |
407 | /// | |
2c00a5a8 XL |
408 | /// The result may not be correctly rounded owing to implementation details; |
409 | /// `self.log2()` can produce more accurate results for base 2, and | |
410 | /// `self.log10()` can produce more accurate results for base 10. | |
c34b1796 | 411 | /// |
94b46f34 XL |
412 | /// # Examples |
413 | /// | |
2c00a5a8 | 414 | /// ``` |
60c5eb7d | 415 | /// let twenty_five = 25.0_f64; |
c34b1796 | 416 | /// |
60c5eb7d XL |
417 | /// // log5(25) - 2 == 0 |
418 | /// let abs_difference = (twenty_five.log(5.0) - 2.0).abs(); | |
c34b1796 | 419 | /// |
2c00a5a8 | 420 | /// assert!(abs_difference < 1e-10); |
c34b1796 | 421 | /// ``` |
60c5eb7d | 422 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
423 | #[stable(feature = "rust1", since = "1.0.0")] |
424 | #[inline] | |
60c5eb7d XL |
425 | pub fn log(self, base: f64) -> f64 { |
426 | self.ln() / base.ln() | |
427 | } | |
c34b1796 AL |
428 | |
429 | /// Returns the base 2 logarithm of the number. | |
430 | /// | |
94b46f34 XL |
431 | /// # Examples |
432 | /// | |
c34b1796 | 433 | /// ``` |
60c5eb7d | 434 | /// let four = 4.0_f64; |
c34b1796 | 435 | /// |
60c5eb7d XL |
436 | /// // log2(4) - 2 == 0 |
437 | /// let abs_difference = (four.log2() - 2.0).abs(); | |
c34b1796 AL |
438 | /// |
439 | /// assert!(abs_difference < 1e-10); | |
440 | /// ``` | |
60c5eb7d | 441 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
442 | #[stable(feature = "rust1", since = "1.0.0")] |
443 | #[inline] | |
e9174d1e | 444 | pub fn log2(self) -> f64 { |
a7813a04 XL |
445 | self.log_wrapper(|n| { |
446 | #[cfg(target_os = "android")] | |
60c5eb7d | 447 | return crate::sys::android::log2f64(n); |
a7813a04 | 448 | #[cfg(not(target_os = "android"))] |
60c5eb7d | 449 | return unsafe { intrinsics::log2f64(n) }; |
a7813a04 | 450 | }) |
e9174d1e | 451 | } |
c34b1796 AL |
452 | |
453 | /// Returns the base 10 logarithm of the number. | |
454 | /// | |
94b46f34 XL |
455 | /// # Examples |
456 | /// | |
c34b1796 | 457 | /// ``` |
60c5eb7d | 458 | /// let hundred = 100.0_f64; |
c34b1796 | 459 | /// |
60c5eb7d XL |
460 | /// // log10(100) - 2 == 0 |
461 | /// let abs_difference = (hundred.log10() - 2.0).abs(); | |
c34b1796 AL |
462 | /// |
463 | /// assert!(abs_difference < 1e-10); | |
464 | /// ``` | |
60c5eb7d | 465 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
466 | #[stable(feature = "rust1", since = "1.0.0")] |
467 | #[inline] | |
e9174d1e | 468 | pub fn log10(self) -> f64 { |
60c5eb7d | 469 | self.log_wrapper(|n| unsafe { intrinsics::log10f64(n) }) |
e9174d1e | 470 | } |
c34b1796 | 471 | |
c34b1796 AL |
472 | /// The positive difference of two numbers. |
473 | /// | |
474 | /// * If `self <= other`: `0:0` | |
475 | /// * Else: `self - other` | |
476 | /// | |
94b46f34 XL |
477 | /// # Examples |
478 | /// | |
c34b1796 AL |
479 | /// ``` |
480 | /// let x = 3.0_f64; | |
481 | /// let y = -3.0_f64; | |
482 | /// | |
483 | /// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs(); | |
484 | /// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs(); | |
485 | /// | |
486 | /// assert!(abs_difference_x < 1e-10); | |
487 | /// assert!(abs_difference_y < 1e-10); | |
488 | /// ``` | |
60c5eb7d | 489 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
490 | #[stable(feature = "rust1", since = "1.0.0")] |
491 | #[inline] | |
60c5eb7d XL |
492 | #[rustc_deprecated( |
493 | since = "1.10.0", | |
494 | reason = "you probably meant `(self - other).abs()`: \ | |
495 | this operation is `(self - other).max(0.0)` \ | |
496 | except that `abs_sub` also propagates NaNs (also \ | |
497 | known as `fdim` in C). If you truly need the positive \ | |
498 | difference, consider using that expression or the C function \ | |
499 | `fdim`, depending on how you wish to handle NaN (please consider \ | |
500 | filing an issue describing your use-case too)." | |
501 | )] | |
e1599b0c XL |
502 | pub fn abs_sub(self, other: f64) -> f64 { |
503 | unsafe { cmath::fdim(self, other) } | |
504 | } | |
c34b1796 | 505 | |
dfeec247 | 506 | /// Returns the cubic root of a number. |
c34b1796 | 507 | /// |
94b46f34 XL |
508 | /// # Examples |
509 | /// | |
c34b1796 AL |
510 | /// ``` |
511 | /// let x = 8.0_f64; | |
512 | /// | |
513 | /// // x^(1/3) - 2 == 0 | |
514 | /// let abs_difference = (x.cbrt() - 2.0).abs(); | |
515 | /// | |
516 | /// assert!(abs_difference < 1e-10); | |
517 | /// ``` | |
60c5eb7d | 518 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
519 | #[stable(feature = "rust1", since = "1.0.0")] |
520 | #[inline] | |
521 | pub fn cbrt(self) -> f64 { | |
522 | unsafe { cmath::cbrt(self) } | |
523 | } | |
524 | ||
9346a6ac | 525 | /// Calculates the length of the hypotenuse of a right-angle triangle given |
c34b1796 AL |
526 | /// legs of length `x` and `y`. |
527 | /// | |
94b46f34 XL |
528 | /// # Examples |
529 | /// | |
c34b1796 AL |
530 | /// ``` |
531 | /// let x = 2.0_f64; | |
532 | /// let y = 3.0_f64; | |
533 | /// | |
534 | /// // sqrt(x^2 + y^2) | |
535 | /// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs(); | |
536 | /// | |
537 | /// assert!(abs_difference < 1e-10); | |
538 | /// ``` | |
60c5eb7d | 539 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
540 | #[stable(feature = "rust1", since = "1.0.0")] |
541 | #[inline] | |
542 | pub fn hypot(self, other: f64) -> f64 { | |
543 | unsafe { cmath::hypot(self, other) } | |
544 | } | |
545 | ||
546 | /// Computes the sine of a number (in radians). | |
547 | /// | |
94b46f34 XL |
548 | /// # Examples |
549 | /// | |
c34b1796 | 550 | /// ``` |
ba9703b0 | 551 | /// let x = std::f64::consts::FRAC_PI_2; |
c34b1796 AL |
552 | /// |
553 | /// let abs_difference = (x.sin() - 1.0).abs(); | |
554 | /// | |
555 | /// assert!(abs_difference < 1e-10); | |
556 | /// ``` | |
60c5eb7d | 557 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
558 | #[stable(feature = "rust1", since = "1.0.0")] |
559 | #[inline] | |
560 | pub fn sin(self) -> f64 { | |
561 | unsafe { intrinsics::sinf64(self) } | |
562 | } | |
563 | ||
564 | /// Computes the cosine of a number (in radians). | |
565 | /// | |
94b46f34 XL |
566 | /// # Examples |
567 | /// | |
c34b1796 | 568 | /// ``` |
ba9703b0 | 569 | /// let x = 2.0 * std::f64::consts::PI; |
c34b1796 AL |
570 | /// |
571 | /// let abs_difference = (x.cos() - 1.0).abs(); | |
572 | /// | |
573 | /// assert!(abs_difference < 1e-10); | |
574 | /// ``` | |
60c5eb7d | 575 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
576 | #[stable(feature = "rust1", since = "1.0.0")] |
577 | #[inline] | |
578 | pub fn cos(self) -> f64 { | |
579 | unsafe { intrinsics::cosf64(self) } | |
580 | } | |
581 | ||
582 | /// Computes the tangent of a number (in radians). | |
583 | /// | |
94b46f34 XL |
584 | /// # Examples |
585 | /// | |
c34b1796 | 586 | /// ``` |
ba9703b0 | 587 | /// let x = std::f64::consts::FRAC_PI_4; |
c34b1796 AL |
588 | /// let abs_difference = (x.tan() - 1.0).abs(); |
589 | /// | |
590 | /// assert!(abs_difference < 1e-14); | |
591 | /// ``` | |
60c5eb7d | 592 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
593 | #[stable(feature = "rust1", since = "1.0.0")] |
594 | #[inline] | |
595 | pub fn tan(self) -> f64 { | |
596 | unsafe { cmath::tan(self) } | |
597 | } | |
598 | ||
599 | /// Computes the arcsine of a number. Return value is in radians in | |
600 | /// the range [-pi/2, pi/2] or NaN if the number is outside the range | |
601 | /// [-1, 1]. | |
602 | /// | |
94b46f34 XL |
603 | /// # Examples |
604 | /// | |
c34b1796 | 605 | /// ``` |
ba9703b0 | 606 | /// let f = std::f64::consts::FRAC_PI_2; |
c34b1796 AL |
607 | /// |
608 | /// // asin(sin(pi/2)) | |
ba9703b0 | 609 | /// let abs_difference = (f.sin().asin() - std::f64::consts::FRAC_PI_2).abs(); |
c34b1796 AL |
610 | /// |
611 | /// assert!(abs_difference < 1e-10); | |
612 | /// ``` | |
60c5eb7d | 613 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
614 | #[stable(feature = "rust1", since = "1.0.0")] |
615 | #[inline] | |
616 | pub fn asin(self) -> f64 { | |
617 | unsafe { cmath::asin(self) } | |
618 | } | |
619 | ||
620 | /// Computes the arccosine of a number. Return value is in radians in | |
621 | /// the range [0, pi] or NaN if the number is outside the range | |
622 | /// [-1, 1]. | |
623 | /// | |
94b46f34 XL |
624 | /// # Examples |
625 | /// | |
c34b1796 | 626 | /// ``` |
ba9703b0 | 627 | /// let f = std::f64::consts::FRAC_PI_4; |
c34b1796 AL |
628 | /// |
629 | /// // acos(cos(pi/4)) | |
ba9703b0 | 630 | /// let abs_difference = (f.cos().acos() - std::f64::consts::FRAC_PI_4).abs(); |
c34b1796 AL |
631 | /// |
632 | /// assert!(abs_difference < 1e-10); | |
633 | /// ``` | |
60c5eb7d | 634 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
635 | #[stable(feature = "rust1", since = "1.0.0")] |
636 | #[inline] | |
637 | pub fn acos(self) -> f64 { | |
638 | unsafe { cmath::acos(self) } | |
639 | } | |
640 | ||
641 | /// Computes the arctangent of a number. Return value is in radians in the | |
642 | /// range [-pi/2, pi/2]; | |
643 | /// | |
94b46f34 XL |
644 | /// # Examples |
645 | /// | |
c34b1796 AL |
646 | /// ``` |
647 | /// let f = 1.0_f64; | |
648 | /// | |
649 | /// // atan(tan(1)) | |
650 | /// let abs_difference = (f.tan().atan() - 1.0).abs(); | |
651 | /// | |
652 | /// assert!(abs_difference < 1e-10); | |
653 | /// ``` | |
60c5eb7d | 654 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
655 | #[stable(feature = "rust1", since = "1.0.0")] |
656 | #[inline] | |
657 | pub fn atan(self) -> f64 { | |
658 | unsafe { cmath::atan(self) } | |
659 | } | |
660 | ||
0531ce1d | 661 | /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians. |
c34b1796 AL |
662 | /// |
663 | /// * `x = 0`, `y = 0`: `0` | |
664 | /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]` | |
665 | /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]` | |
666 | /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)` | |
667 | /// | |
94b46f34 XL |
668 | /// # Examples |
669 | /// | |
c34b1796 | 670 | /// ``` |
0531ce1d XL |
671 | /// // Positive angles measured counter-clockwise |
672 | /// // from positive x axis | |
673 | /// // -pi/4 radians (45 deg clockwise) | |
c34b1796 AL |
674 | /// let x1 = 3.0_f64; |
675 | /// let y1 = -3.0_f64; | |
676 | /// | |
0531ce1d | 677 | /// // 3pi/4 radians (135 deg counter-clockwise) |
c34b1796 AL |
678 | /// let x2 = -3.0_f64; |
679 | /// let y2 = 3.0_f64; | |
680 | /// | |
ba9703b0 XL |
681 | /// let abs_difference_1 = (y1.atan2(x1) - (-std::f64::consts::FRAC_PI_4)).abs(); |
682 | /// let abs_difference_2 = (y2.atan2(x2) - (3.0 * std::f64::consts::FRAC_PI_4)).abs(); | |
c34b1796 AL |
683 | /// |
684 | /// assert!(abs_difference_1 < 1e-10); | |
685 | /// assert!(abs_difference_2 < 1e-10); | |
686 | /// ``` | |
60c5eb7d | 687 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
688 | #[stable(feature = "rust1", since = "1.0.0")] |
689 | #[inline] | |
690 | pub fn atan2(self, other: f64) -> f64 { | |
691 | unsafe { cmath::atan2(self, other) } | |
692 | } | |
693 | ||
694 | /// Simultaneously computes the sine and cosine of the number, `x`. Returns | |
695 | /// `(sin(x), cos(x))`. | |
696 | /// | |
94b46f34 XL |
697 | /// # Examples |
698 | /// | |
c34b1796 | 699 | /// ``` |
ba9703b0 | 700 | /// let x = std::f64::consts::FRAC_PI_4; |
c34b1796 AL |
701 | /// let f = x.sin_cos(); |
702 | /// | |
703 | /// let abs_difference_0 = (f.0 - x.sin()).abs(); | |
704 | /// let abs_difference_1 = (f.1 - x.cos()).abs(); | |
705 | /// | |
706 | /// assert!(abs_difference_0 < 1e-10); | |
a7813a04 | 707 | /// assert!(abs_difference_1 < 1e-10); |
c34b1796 AL |
708 | /// ``` |
709 | #[stable(feature = "rust1", since = "1.0.0")] | |
710 | #[inline] | |
711 | pub fn sin_cos(self) -> (f64, f64) { | |
712 | (self.sin(), self.cos()) | |
713 | } | |
714 | ||
715 | /// Returns `e^(self) - 1` in a way that is accurate even if the | |
716 | /// number is close to zero. | |
717 | /// | |
94b46f34 XL |
718 | /// # Examples |
719 | /// | |
c34b1796 AL |
720 | /// ``` |
721 | /// let x = 7.0_f64; | |
722 | /// | |
723 | /// // e^(ln(7)) - 1 | |
724 | /// let abs_difference = (x.ln().exp_m1() - 6.0).abs(); | |
725 | /// | |
726 | /// assert!(abs_difference < 1e-10); | |
727 | /// ``` | |
60c5eb7d | 728 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
729 | #[stable(feature = "rust1", since = "1.0.0")] |
730 | #[inline] | |
731 | pub fn exp_m1(self) -> f64 { | |
732 | unsafe { cmath::expm1(self) } | |
733 | } | |
734 | ||
735 | /// Returns `ln(1+n)` (natural logarithm) more accurately than if | |
736 | /// the operations were performed separately. | |
737 | /// | |
94b46f34 XL |
738 | /// # Examples |
739 | /// | |
c34b1796 | 740 | /// ``` |
ba9703b0 | 741 | /// let x = std::f64::consts::E - 1.0; |
c34b1796 AL |
742 | /// |
743 | /// // ln(1 + (e - 1)) == ln(e) == 1 | |
744 | /// let abs_difference = (x.ln_1p() - 1.0).abs(); | |
745 | /// | |
746 | /// assert!(abs_difference < 1e-10); | |
747 | /// ``` | |
60c5eb7d | 748 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
749 | #[stable(feature = "rust1", since = "1.0.0")] |
750 | #[inline] | |
751 | pub fn ln_1p(self) -> f64 { | |
752 | unsafe { cmath::log1p(self) } | |
753 | } | |
754 | ||
755 | /// Hyperbolic sine function. | |
756 | /// | |
94b46f34 XL |
757 | /// # Examples |
758 | /// | |
c34b1796 | 759 | /// ``` |
ba9703b0 | 760 | /// let e = std::f64::consts::E; |
c34b1796 AL |
761 | /// let x = 1.0_f64; |
762 | /// | |
763 | /// let f = x.sinh(); | |
764 | /// // Solving sinh() at 1 gives `(e^2-1)/(2e)` | |
e1599b0c | 765 | /// let g = ((e * e) - 1.0) / (2.0 * e); |
c34b1796 AL |
766 | /// let abs_difference = (f - g).abs(); |
767 | /// | |
768 | /// assert!(abs_difference < 1e-10); | |
769 | /// ``` | |
60c5eb7d | 770 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
771 | #[stable(feature = "rust1", since = "1.0.0")] |
772 | #[inline] | |
773 | pub fn sinh(self) -> f64 { | |
774 | unsafe { cmath::sinh(self) } | |
775 | } | |
776 | ||
777 | /// Hyperbolic cosine function. | |
778 | /// | |
94b46f34 XL |
779 | /// # Examples |
780 | /// | |
c34b1796 | 781 | /// ``` |
ba9703b0 | 782 | /// let e = std::f64::consts::E; |
c34b1796 AL |
783 | /// let x = 1.0_f64; |
784 | /// let f = x.cosh(); | |
785 | /// // Solving cosh() at 1 gives this result | |
e1599b0c | 786 | /// let g = ((e * e) + 1.0) / (2.0 * e); |
c34b1796 AL |
787 | /// let abs_difference = (f - g).abs(); |
788 | /// | |
789 | /// // Same result | |
790 | /// assert!(abs_difference < 1.0e-10); | |
791 | /// ``` | |
60c5eb7d | 792 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
793 | #[stable(feature = "rust1", since = "1.0.0")] |
794 | #[inline] | |
795 | pub fn cosh(self) -> f64 { | |
796 | unsafe { cmath::cosh(self) } | |
797 | } | |
798 | ||
799 | /// Hyperbolic tangent function. | |
800 | /// | |
94b46f34 XL |
801 | /// # Examples |
802 | /// | |
c34b1796 | 803 | /// ``` |
ba9703b0 | 804 | /// let e = std::f64::consts::E; |
c34b1796 AL |
805 | /// let x = 1.0_f64; |
806 | /// | |
807 | /// let f = x.tanh(); | |
808 | /// // Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))` | |
e1599b0c | 809 | /// let g = (1.0 - e.powi(-2)) / (1.0 + e.powi(-2)); |
c34b1796 AL |
810 | /// let abs_difference = (f - g).abs(); |
811 | /// | |
812 | /// assert!(abs_difference < 1.0e-10); | |
813 | /// ``` | |
60c5eb7d | 814 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
815 | #[stable(feature = "rust1", since = "1.0.0")] |
816 | #[inline] | |
817 | pub fn tanh(self) -> f64 { | |
818 | unsafe { cmath::tanh(self) } | |
819 | } | |
820 | ||
821 | /// Inverse hyperbolic sine function. | |
822 | /// | |
94b46f34 XL |
823 | /// # Examples |
824 | /// | |
c34b1796 AL |
825 | /// ``` |
826 | /// let x = 1.0_f64; | |
827 | /// let f = x.sinh().asinh(); | |
828 | /// | |
829 | /// let abs_difference = (f - x).abs(); | |
830 | /// | |
831 | /// assert!(abs_difference < 1.0e-10); | |
832 | /// ``` | |
60c5eb7d | 833 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
834 | #[stable(feature = "rust1", since = "1.0.0")] |
835 | #[inline] | |
836 | pub fn asinh(self) -> f64 { | |
f035d41b | 837 | (self.abs() + ((self * self) + 1.0).sqrt()).ln().copysign(self) |
c34b1796 AL |
838 | } |
839 | ||
840 | /// Inverse hyperbolic cosine function. | |
841 | /// | |
94b46f34 XL |
842 | /// # Examples |
843 | /// | |
c34b1796 AL |
844 | /// ``` |
845 | /// let x = 1.0_f64; | |
846 | /// let f = x.cosh().acosh(); | |
847 | /// | |
848 | /// let abs_difference = (f - x).abs(); | |
849 | /// | |
850 | /// assert!(abs_difference < 1.0e-10); | |
851 | /// ``` | |
60c5eb7d | 852 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
853 | #[stable(feature = "rust1", since = "1.0.0")] |
854 | #[inline] | |
855 | pub fn acosh(self) -> f64 { | |
f9f354fc | 856 | if self < 1.0 { Self::NAN } else { (self + ((self * self) - 1.0).sqrt()).ln() } |
c34b1796 AL |
857 | } |
858 | ||
859 | /// Inverse hyperbolic tangent function. | |
860 | /// | |
94b46f34 XL |
861 | /// # Examples |
862 | /// | |
c34b1796 | 863 | /// ``` |
ba9703b0 | 864 | /// let e = std::f64::consts::E; |
c34b1796 AL |
865 | /// let f = e.tanh().atanh(); |
866 | /// | |
867 | /// let abs_difference = (f - e).abs(); | |
868 | /// | |
869 | /// assert!(abs_difference < 1.0e-10); | |
870 | /// ``` | |
60c5eb7d | 871 | #[must_use = "method returns a new number and does not mutate the original value"] |
c34b1796 AL |
872 | #[stable(feature = "rust1", since = "1.0.0")] |
873 | #[inline] | |
874 | pub fn atanh(self) -> f64 { | |
875 | 0.5 * ((2.0 * self) / (1.0 - self)).ln_1p() | |
876 | } | |
7453a54e | 877 | |
532ac7d7 XL |
878 | /// Restrict a value to a certain interval unless it is NaN. |
879 | /// | |
880 | /// Returns `max` if `self` is greater than `max`, and `min` if `self` is | |
881 | /// less than `min`. Otherwise this returns `self`. | |
882 | /// | |
f9f354fc | 883 | /// Note that this function returns NaN if the initial value was NaN as |
532ac7d7 XL |
884 | /// well. |
885 | /// | |
886 | /// # Panics | |
887 | /// | |
888 | /// Panics if `min > max`, `min` is NaN, or `max` is NaN. | |
889 | /// | |
890 | /// # Examples | |
891 | /// | |
892 | /// ``` | |
893 | /// #![feature(clamp)] | |
894 | /// assert!((-3.0f64).clamp(-2.0, 1.0) == -2.0); | |
895 | /// assert!((0.0f64).clamp(-2.0, 1.0) == 0.0); | |
896 | /// assert!((2.0f64).clamp(-2.0, 1.0) == 1.0); | |
ba9703b0 | 897 | /// assert!((f64::NAN).clamp(-2.0, 1.0).is_nan()); |
532ac7d7 | 898 | /// ``` |
60c5eb7d | 899 | #[must_use = "method returns a new number and does not mutate the original value"] |
532ac7d7 XL |
900 | #[unstable(feature = "clamp", issue = "44095")] |
901 | #[inline] | |
902 | pub fn clamp(self, min: f64, max: f64) -> f64 { | |
903 | assert!(min <= max); | |
904 | let mut x = self; | |
60c5eb7d XL |
905 | if x < min { |
906 | x = min; | |
907 | } | |
908 | if x > max { | |
909 | x = max; | |
910 | } | |
532ac7d7 XL |
911 | x |
912 | } | |
913 | ||
7453a54e | 914 | // Solaris/Illumos requires a wrapper around log, log2, and log10 functions |
0731742a | 915 | // because of their non-standard behavior (e.g., log(-n) returns -Inf instead |
7453a54e SL |
916 | // of expected NaN). |
917 | fn log_wrapper<F: Fn(f64) -> f64>(self, log_fn: F) -> f64 { | |
ba9703b0 | 918 | if !cfg!(any(target_os = "solaris", target_os = "illumos")) { |
7453a54e SL |
919 | log_fn(self) |
920 | } else { | |
921 | if self.is_finite() { | |
922 | if self > 0.0 { | |
923 | log_fn(self) | |
924 | } else if self == 0.0 { | |
f9f354fc | 925 | Self::NEG_INFINITY // log(0) = -Inf |
7453a54e | 926 | } else { |
f9f354fc | 927 | Self::NAN // log(-n) = NaN |
7453a54e SL |
928 | } |
929 | } else if self.is_nan() { | |
930 | self // log(NaN) = NaN | |
931 | } else if self > 0.0 { | |
932 | self // log(Inf) = Inf | |
933 | } else { | |
f9f354fc | 934 | Self::NAN // log(-Inf) = NaN |
7453a54e SL |
935 | } |
936 | } | |
937 | } | |
c34b1796 AL |
938 | } |
939 | ||
c34b1796 AL |
940 | #[cfg(test)] |
941 | mod tests { | |
f035d41b | 942 | use crate::f64::consts; |
532ac7d7 | 943 | use crate::num::FpCategory as Fp; |
60c5eb7d | 944 | use crate::num::*; |
c34b1796 AL |
945 | |
946 | #[test] | |
947 | fn test_num_f64() { | |
948 | test_num(10f64, 2f64); | |
949 | } | |
950 | ||
951 | #[test] | |
952 | fn test_min_nan() { | |
f035d41b XL |
953 | assert_eq!(f64::NAN.min(2.0), 2.0); |
954 | assert_eq!(2.0f64.min(f64::NAN), 2.0); | |
c34b1796 AL |
955 | } |
956 | ||
957 | #[test] | |
958 | fn test_max_nan() { | |
f035d41b XL |
959 | assert_eq!(f64::NAN.max(2.0), 2.0); |
960 | assert_eq!(2.0f64.max(f64::NAN), 2.0); | |
c34b1796 AL |
961 | } |
962 | ||
963 | #[test] | |
964 | fn test_nan() { | |
f035d41b | 965 | let nan: f64 = f64::NAN; |
c34b1796 AL |
966 | assert!(nan.is_nan()); |
967 | assert!(!nan.is_infinite()); | |
968 | assert!(!nan.is_finite()); | |
969 | assert!(!nan.is_normal()); | |
041b39d2 | 970 | assert!(nan.is_sign_positive()); |
c34b1796 AL |
971 | assert!(!nan.is_sign_negative()); |
972 | assert_eq!(Fp::Nan, nan.classify()); | |
973 | } | |
974 | ||
975 | #[test] | |
976 | fn test_infinity() { | |
f035d41b | 977 | let inf: f64 = f64::INFINITY; |
c34b1796 AL |
978 | assert!(inf.is_infinite()); |
979 | assert!(!inf.is_finite()); | |
980 | assert!(inf.is_sign_positive()); | |
981 | assert!(!inf.is_sign_negative()); | |
982 | assert!(!inf.is_nan()); | |
983 | assert!(!inf.is_normal()); | |
984 | assert_eq!(Fp::Infinite, inf.classify()); | |
985 | } | |
986 | ||
987 | #[test] | |
988 | fn test_neg_infinity() { | |
f035d41b | 989 | let neg_inf: f64 = f64::NEG_INFINITY; |
c34b1796 AL |
990 | assert!(neg_inf.is_infinite()); |
991 | assert!(!neg_inf.is_finite()); | |
992 | assert!(!neg_inf.is_sign_positive()); | |
993 | assert!(neg_inf.is_sign_negative()); | |
994 | assert!(!neg_inf.is_nan()); | |
995 | assert!(!neg_inf.is_normal()); | |
996 | assert_eq!(Fp::Infinite, neg_inf.classify()); | |
997 | } | |
998 | ||
999 | #[test] | |
1000 | fn test_zero() { | |
9346a6ac | 1001 | let zero: f64 = 0.0f64; |
c34b1796 AL |
1002 | assert_eq!(0.0, zero); |
1003 | assert!(!zero.is_infinite()); | |
1004 | assert!(zero.is_finite()); | |
1005 | assert!(zero.is_sign_positive()); | |
1006 | assert!(!zero.is_sign_negative()); | |
1007 | assert!(!zero.is_nan()); | |
1008 | assert!(!zero.is_normal()); | |
1009 | assert_eq!(Fp::Zero, zero.classify()); | |
1010 | } | |
1011 | ||
1012 | #[test] | |
1013 | fn test_neg_zero() { | |
9346a6ac | 1014 | let neg_zero: f64 = -0.0; |
c34b1796 AL |
1015 | assert_eq!(0.0, neg_zero); |
1016 | assert!(!neg_zero.is_infinite()); | |
1017 | assert!(neg_zero.is_finite()); | |
1018 | assert!(!neg_zero.is_sign_positive()); | |
1019 | assert!(neg_zero.is_sign_negative()); | |
1020 | assert!(!neg_zero.is_nan()); | |
1021 | assert!(!neg_zero.is_normal()); | |
1022 | assert_eq!(Fp::Zero, neg_zero.classify()); | |
1023 | } | |
1024 | ||
041b39d2 | 1025 | #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 |
c34b1796 AL |
1026 | #[test] |
1027 | fn test_one() { | |
9346a6ac | 1028 | let one: f64 = 1.0f64; |
c34b1796 AL |
1029 | assert_eq!(1.0, one); |
1030 | assert!(!one.is_infinite()); | |
1031 | assert!(one.is_finite()); | |
1032 | assert!(one.is_sign_positive()); | |
1033 | assert!(!one.is_sign_negative()); | |
1034 | assert!(!one.is_nan()); | |
1035 | assert!(one.is_normal()); | |
1036 | assert_eq!(Fp::Normal, one.classify()); | |
1037 | } | |
1038 | ||
1039 | #[test] | |
1040 | fn test_is_nan() { | |
f035d41b XL |
1041 | let nan: f64 = f64::NAN; |
1042 | let inf: f64 = f64::INFINITY; | |
1043 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1044 | assert!(nan.is_nan()); |
1045 | assert!(!0.0f64.is_nan()); | |
1046 | assert!(!5.3f64.is_nan()); | |
1047 | assert!(!(-10.732f64).is_nan()); | |
1048 | assert!(!inf.is_nan()); | |
1049 | assert!(!neg_inf.is_nan()); | |
1050 | } | |
1051 | ||
1052 | #[test] | |
1053 | fn test_is_infinite() { | |
f035d41b XL |
1054 | let nan: f64 = f64::NAN; |
1055 | let inf: f64 = f64::INFINITY; | |
1056 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1057 | assert!(!nan.is_infinite()); |
1058 | assert!(inf.is_infinite()); | |
1059 | assert!(neg_inf.is_infinite()); | |
1060 | assert!(!0.0f64.is_infinite()); | |
1061 | assert!(!42.8f64.is_infinite()); | |
1062 | assert!(!(-109.2f64).is_infinite()); | |
1063 | } | |
1064 | ||
1065 | #[test] | |
1066 | fn test_is_finite() { | |
f035d41b XL |
1067 | let nan: f64 = f64::NAN; |
1068 | let inf: f64 = f64::INFINITY; | |
1069 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1070 | assert!(!nan.is_finite()); |
1071 | assert!(!inf.is_finite()); | |
1072 | assert!(!neg_inf.is_finite()); | |
1073 | assert!(0.0f64.is_finite()); | |
1074 | assert!(42.8f64.is_finite()); | |
1075 | assert!((-109.2f64).is_finite()); | |
1076 | } | |
1077 | ||
041b39d2 | 1078 | #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 |
c34b1796 AL |
1079 | #[test] |
1080 | fn test_is_normal() { | |
f035d41b XL |
1081 | let nan: f64 = f64::NAN; |
1082 | let inf: f64 = f64::INFINITY; | |
1083 | let neg_inf: f64 = f64::NEG_INFINITY; | |
9346a6ac AL |
1084 | let zero: f64 = 0.0f64; |
1085 | let neg_zero: f64 = -0.0; | |
c34b1796 AL |
1086 | assert!(!nan.is_normal()); |
1087 | assert!(!inf.is_normal()); | |
1088 | assert!(!neg_inf.is_normal()); | |
1089 | assert!(!zero.is_normal()); | |
1090 | assert!(!neg_zero.is_normal()); | |
1091 | assert!(1f64.is_normal()); | |
1092 | assert!(1e-307f64.is_normal()); | |
1093 | assert!(!1e-308f64.is_normal()); | |
1094 | } | |
1095 | ||
041b39d2 | 1096 | #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 |
c34b1796 AL |
1097 | #[test] |
1098 | fn test_classify() { | |
f035d41b XL |
1099 | let nan: f64 = f64::NAN; |
1100 | let inf: f64 = f64::INFINITY; | |
1101 | let neg_inf: f64 = f64::NEG_INFINITY; | |
9346a6ac AL |
1102 | let zero: f64 = 0.0f64; |
1103 | let neg_zero: f64 = -0.0; | |
c34b1796 AL |
1104 | assert_eq!(nan.classify(), Fp::Nan); |
1105 | assert_eq!(inf.classify(), Fp::Infinite); | |
1106 | assert_eq!(neg_inf.classify(), Fp::Infinite); | |
1107 | assert_eq!(zero.classify(), Fp::Zero); | |
1108 | assert_eq!(neg_zero.classify(), Fp::Zero); | |
1109 | assert_eq!(1e-307f64.classify(), Fp::Normal); | |
1110 | assert_eq!(1e-308f64.classify(), Fp::Subnormal); | |
1111 | } | |
1112 | ||
c34b1796 AL |
1113 | #[test] |
1114 | fn test_floor() { | |
1115 | assert_approx_eq!(1.0f64.floor(), 1.0f64); | |
1116 | assert_approx_eq!(1.3f64.floor(), 1.0f64); | |
1117 | assert_approx_eq!(1.5f64.floor(), 1.0f64); | |
1118 | assert_approx_eq!(1.7f64.floor(), 1.0f64); | |
1119 | assert_approx_eq!(0.0f64.floor(), 0.0f64); | |
1120 | assert_approx_eq!((-0.0f64).floor(), -0.0f64); | |
1121 | assert_approx_eq!((-1.0f64).floor(), -1.0f64); | |
1122 | assert_approx_eq!((-1.3f64).floor(), -2.0f64); | |
1123 | assert_approx_eq!((-1.5f64).floor(), -2.0f64); | |
1124 | assert_approx_eq!((-1.7f64).floor(), -2.0f64); | |
1125 | } | |
1126 | ||
1127 | #[test] | |
1128 | fn test_ceil() { | |
1129 | assert_approx_eq!(1.0f64.ceil(), 1.0f64); | |
1130 | assert_approx_eq!(1.3f64.ceil(), 2.0f64); | |
1131 | assert_approx_eq!(1.5f64.ceil(), 2.0f64); | |
1132 | assert_approx_eq!(1.7f64.ceil(), 2.0f64); | |
1133 | assert_approx_eq!(0.0f64.ceil(), 0.0f64); | |
1134 | assert_approx_eq!((-0.0f64).ceil(), -0.0f64); | |
1135 | assert_approx_eq!((-1.0f64).ceil(), -1.0f64); | |
1136 | assert_approx_eq!((-1.3f64).ceil(), -1.0f64); | |
1137 | assert_approx_eq!((-1.5f64).ceil(), -1.0f64); | |
1138 | assert_approx_eq!((-1.7f64).ceil(), -1.0f64); | |
1139 | } | |
1140 | ||
1141 | #[test] | |
1142 | fn test_round() { | |
1143 | assert_approx_eq!(1.0f64.round(), 1.0f64); | |
1144 | assert_approx_eq!(1.3f64.round(), 1.0f64); | |
1145 | assert_approx_eq!(1.5f64.round(), 2.0f64); | |
1146 | assert_approx_eq!(1.7f64.round(), 2.0f64); | |
1147 | assert_approx_eq!(0.0f64.round(), 0.0f64); | |
1148 | assert_approx_eq!((-0.0f64).round(), -0.0f64); | |
1149 | assert_approx_eq!((-1.0f64).round(), -1.0f64); | |
1150 | assert_approx_eq!((-1.3f64).round(), -1.0f64); | |
1151 | assert_approx_eq!((-1.5f64).round(), -2.0f64); | |
1152 | assert_approx_eq!((-1.7f64).round(), -2.0f64); | |
1153 | } | |
1154 | ||
1155 | #[test] | |
1156 | fn test_trunc() { | |
1157 | assert_approx_eq!(1.0f64.trunc(), 1.0f64); | |
1158 | assert_approx_eq!(1.3f64.trunc(), 1.0f64); | |
1159 | assert_approx_eq!(1.5f64.trunc(), 1.0f64); | |
1160 | assert_approx_eq!(1.7f64.trunc(), 1.0f64); | |
1161 | assert_approx_eq!(0.0f64.trunc(), 0.0f64); | |
1162 | assert_approx_eq!((-0.0f64).trunc(), -0.0f64); | |
1163 | assert_approx_eq!((-1.0f64).trunc(), -1.0f64); | |
1164 | assert_approx_eq!((-1.3f64).trunc(), -1.0f64); | |
1165 | assert_approx_eq!((-1.5f64).trunc(), -1.0f64); | |
1166 | assert_approx_eq!((-1.7f64).trunc(), -1.0f64); | |
1167 | } | |
1168 | ||
1169 | #[test] | |
1170 | fn test_fract() { | |
1171 | assert_approx_eq!(1.0f64.fract(), 0.0f64); | |
1172 | assert_approx_eq!(1.3f64.fract(), 0.3f64); | |
1173 | assert_approx_eq!(1.5f64.fract(), 0.5f64); | |
1174 | assert_approx_eq!(1.7f64.fract(), 0.7f64); | |
1175 | assert_approx_eq!(0.0f64.fract(), 0.0f64); | |
1176 | assert_approx_eq!((-0.0f64).fract(), -0.0f64); | |
1177 | assert_approx_eq!((-1.0f64).fract(), -0.0f64); | |
1178 | assert_approx_eq!((-1.3f64).fract(), -0.3f64); | |
1179 | assert_approx_eq!((-1.5f64).fract(), -0.5f64); | |
1180 | assert_approx_eq!((-1.7f64).fract(), -0.7f64); | |
1181 | } | |
1182 | ||
1183 | #[test] | |
1184 | fn test_abs() { | |
f035d41b | 1185 | assert_eq!(f64::INFINITY.abs(), f64::INFINITY); |
c34b1796 AL |
1186 | assert_eq!(1f64.abs(), 1f64); |
1187 | assert_eq!(0f64.abs(), 0f64); | |
1188 | assert_eq!((-0f64).abs(), 0f64); | |
1189 | assert_eq!((-1f64).abs(), 1f64); | |
f035d41b XL |
1190 | assert_eq!(f64::NEG_INFINITY.abs(), f64::INFINITY); |
1191 | assert_eq!((1f64 / f64::NEG_INFINITY).abs(), 0f64); | |
1192 | assert!(f64::NAN.abs().is_nan()); | |
c34b1796 AL |
1193 | } |
1194 | ||
1195 | #[test] | |
1196 | fn test_signum() { | |
f035d41b | 1197 | assert_eq!(f64::INFINITY.signum(), 1f64); |
c34b1796 AL |
1198 | assert_eq!(1f64.signum(), 1f64); |
1199 | assert_eq!(0f64.signum(), 1f64); | |
1200 | assert_eq!((-0f64).signum(), -1f64); | |
1201 | assert_eq!((-1f64).signum(), -1f64); | |
f035d41b XL |
1202 | assert_eq!(f64::NEG_INFINITY.signum(), -1f64); |
1203 | assert_eq!((1f64 / f64::NEG_INFINITY).signum(), -1f64); | |
1204 | assert!(f64::NAN.signum().is_nan()); | |
c34b1796 AL |
1205 | } |
1206 | ||
1207 | #[test] | |
1208 | fn test_is_sign_positive() { | |
f035d41b | 1209 | assert!(f64::INFINITY.is_sign_positive()); |
c34b1796 AL |
1210 | assert!(1f64.is_sign_positive()); |
1211 | assert!(0f64.is_sign_positive()); | |
1212 | assert!(!(-0f64).is_sign_positive()); | |
1213 | assert!(!(-1f64).is_sign_positive()); | |
f035d41b XL |
1214 | assert!(!f64::NEG_INFINITY.is_sign_positive()); |
1215 | assert!(!(1f64 / f64::NEG_INFINITY).is_sign_positive()); | |
1216 | assert!(f64::NAN.is_sign_positive()); | |
1217 | assert!(!(-f64::NAN).is_sign_positive()); | |
c34b1796 AL |
1218 | } |
1219 | ||
1220 | #[test] | |
1221 | fn test_is_sign_negative() { | |
f035d41b | 1222 | assert!(!f64::INFINITY.is_sign_negative()); |
c34b1796 AL |
1223 | assert!(!1f64.is_sign_negative()); |
1224 | assert!(!0f64.is_sign_negative()); | |
1225 | assert!((-0f64).is_sign_negative()); | |
1226 | assert!((-1f64).is_sign_negative()); | |
f035d41b XL |
1227 | assert!(f64::NEG_INFINITY.is_sign_negative()); |
1228 | assert!((1f64 / f64::NEG_INFINITY).is_sign_negative()); | |
1229 | assert!(!f64::NAN.is_sign_negative()); | |
1230 | assert!((-f64::NAN).is_sign_negative()); | |
c34b1796 AL |
1231 | } |
1232 | ||
1233 | #[test] | |
1234 | fn test_mul_add() { | |
f035d41b XL |
1235 | let nan: f64 = f64::NAN; |
1236 | let inf: f64 = f64::INFINITY; | |
1237 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1238 | assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05); |
1239 | assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65); | |
1240 | assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2); | |
1241 | assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6); | |
1242 | assert!(nan.mul_add(7.8, 9.0).is_nan()); | |
1243 | assert_eq!(inf.mul_add(7.8, 9.0), inf); | |
1244 | assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf); | |
1245 | assert_eq!(8.9f64.mul_add(inf, 3.2), inf); | |
1246 | assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf); | |
1247 | } | |
1248 | ||
1249 | #[test] | |
1250 | fn test_recip() { | |
f035d41b XL |
1251 | let nan: f64 = f64::NAN; |
1252 | let inf: f64 = f64::INFINITY; | |
1253 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1254 | assert_eq!(1.0f64.recip(), 1.0); |
1255 | assert_eq!(2.0f64.recip(), 0.5); | |
1256 | assert_eq!((-0.4f64).recip(), -2.5); | |
1257 | assert_eq!(0.0f64.recip(), inf); | |
1258 | assert!(nan.recip().is_nan()); | |
1259 | assert_eq!(inf.recip(), 0.0); | |
1260 | assert_eq!(neg_inf.recip(), 0.0); | |
1261 | } | |
1262 | ||
1263 | #[test] | |
1264 | fn test_powi() { | |
f035d41b XL |
1265 | let nan: f64 = f64::NAN; |
1266 | let inf: f64 = f64::INFINITY; | |
1267 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1268 | assert_eq!(1.0f64.powi(1), 1.0); |
1269 | assert_approx_eq!((-3.1f64).powi(2), 9.61); | |
1270 | assert_approx_eq!(5.9f64.powi(-2), 0.028727); | |
1271 | assert_eq!(8.3f64.powi(0), 1.0); | |
1272 | assert!(nan.powi(2).is_nan()); | |
1273 | assert_eq!(inf.powi(3), inf); | |
1274 | assert_eq!(neg_inf.powi(2), inf); | |
1275 | } | |
1276 | ||
1277 | #[test] | |
1278 | fn test_powf() { | |
f035d41b XL |
1279 | let nan: f64 = f64::NAN; |
1280 | let inf: f64 = f64::INFINITY; | |
1281 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1282 | assert_eq!(1.0f64.powf(1.0), 1.0); |
1283 | assert_approx_eq!(3.4f64.powf(4.5), 246.408183); | |
1284 | assert_approx_eq!(2.7f64.powf(-3.2), 0.041652); | |
1285 | assert_approx_eq!((-3.1f64).powf(2.0), 9.61); | |
1286 | assert_approx_eq!(5.9f64.powf(-2.0), 0.028727); | |
1287 | assert_eq!(8.3f64.powf(0.0), 1.0); | |
1288 | assert!(nan.powf(2.0).is_nan()); | |
1289 | assert_eq!(inf.powf(2.0), inf); | |
1290 | assert_eq!(neg_inf.powf(3.0), neg_inf); | |
1291 | } | |
1292 | ||
1293 | #[test] | |
1294 | fn test_sqrt_domain() { | |
f035d41b XL |
1295 | assert!(f64::NAN.sqrt().is_nan()); |
1296 | assert!(f64::NEG_INFINITY.sqrt().is_nan()); | |
c34b1796 AL |
1297 | assert!((-1.0f64).sqrt().is_nan()); |
1298 | assert_eq!((-0.0f64).sqrt(), -0.0); | |
1299 | assert_eq!(0.0f64.sqrt(), 0.0); | |
1300 | assert_eq!(1.0f64.sqrt(), 1.0); | |
f035d41b | 1301 | assert_eq!(f64::INFINITY.sqrt(), f64::INFINITY); |
c34b1796 AL |
1302 | } |
1303 | ||
c34b1796 AL |
1304 | #[test] |
1305 | fn test_exp() { | |
1306 | assert_eq!(1.0, 0.0f64.exp()); | |
1307 | assert_approx_eq!(2.718282, 1.0f64.exp()); | |
1308 | assert_approx_eq!(148.413159, 5.0f64.exp()); | |
1309 | ||
f035d41b XL |
1310 | let inf: f64 = f64::INFINITY; |
1311 | let neg_inf: f64 = f64::NEG_INFINITY; | |
1312 | let nan: f64 = f64::NAN; | |
85aaf69f SL |
1313 | assert_eq!(inf, inf.exp()); |
1314 | assert_eq!(0.0, neg_inf.exp()); | |
1315 | assert!(nan.exp().is_nan()); | |
1316 | } | |
1317 | ||
1318 | #[test] | |
1319 | fn test_exp2() { | |
1320 | assert_eq!(32.0, 5.0f64.exp2()); | |
1321 | assert_eq!(1.0, 0.0f64.exp2()); | |
1322 | ||
f035d41b XL |
1323 | let inf: f64 = f64::INFINITY; |
1324 | let neg_inf: f64 = f64::NEG_INFINITY; | |
1325 | let nan: f64 = f64::NAN; | |
85aaf69f SL |
1326 | assert_eq!(inf, inf.exp2()); |
1327 | assert_eq!(0.0, neg_inf.exp2()); | |
1328 | assert!(nan.exp2().is_nan()); | |
1329 | } | |
1330 | ||
c34b1796 AL |
1331 | #[test] |
1332 | fn test_ln() { | |
f035d41b XL |
1333 | let nan: f64 = f64::NAN; |
1334 | let inf: f64 = f64::INFINITY; | |
1335 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1336 | assert_approx_eq!(1.0f64.exp().ln(), 1.0); |
1337 | assert!(nan.ln().is_nan()); | |
1338 | assert_eq!(inf.ln(), inf); | |
1339 | assert!(neg_inf.ln().is_nan()); | |
1340 | assert!((-2.3f64).ln().is_nan()); | |
1341 | assert_eq!((-0.0f64).ln(), neg_inf); | |
1342 | assert_eq!(0.0f64.ln(), neg_inf); | |
1343 | assert_approx_eq!(4.0f64.ln(), 1.386294); | |
1344 | } | |
1345 | ||
1346 | #[test] | |
1347 | fn test_log() { | |
f035d41b XL |
1348 | let nan: f64 = f64::NAN; |
1349 | let inf: f64 = f64::INFINITY; | |
1350 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1351 | assert_eq!(10.0f64.log(10.0), 1.0); |
1352 | assert_approx_eq!(2.3f64.log(3.5), 0.664858); | |
9346a6ac | 1353 | assert_eq!(1.0f64.exp().log(1.0f64.exp()), 1.0); |
c34b1796 AL |
1354 | assert!(1.0f64.log(1.0).is_nan()); |
1355 | assert!(1.0f64.log(-13.9).is_nan()); | |
1356 | assert!(nan.log(2.3).is_nan()); | |
1357 | assert_eq!(inf.log(10.0), inf); | |
1358 | assert!(neg_inf.log(8.8).is_nan()); | |
1359 | assert!((-2.3f64).log(0.1).is_nan()); | |
1360 | assert_eq!((-0.0f64).log(2.0), neg_inf); | |
1361 | assert_eq!(0.0f64.log(7.0), neg_inf); | |
1362 | } | |
1363 | ||
1364 | #[test] | |
1365 | fn test_log2() { | |
f035d41b XL |
1366 | let nan: f64 = f64::NAN; |
1367 | let inf: f64 = f64::INFINITY; | |
1368 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1369 | assert_approx_eq!(10.0f64.log2(), 3.321928); |
1370 | assert_approx_eq!(2.3f64.log2(), 1.201634); | |
1371 | assert_approx_eq!(1.0f64.exp().log2(), 1.442695); | |
1372 | assert!(nan.log2().is_nan()); | |
1373 | assert_eq!(inf.log2(), inf); | |
1374 | assert!(neg_inf.log2().is_nan()); | |
1375 | assert!((-2.3f64).log2().is_nan()); | |
1376 | assert_eq!((-0.0f64).log2(), neg_inf); | |
1377 | assert_eq!(0.0f64.log2(), neg_inf); | |
1378 | } | |
1379 | ||
1380 | #[test] | |
1381 | fn test_log10() { | |
f035d41b XL |
1382 | let nan: f64 = f64::NAN; |
1383 | let inf: f64 = f64::INFINITY; | |
1384 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1385 | assert_eq!(10.0f64.log10(), 1.0); |
1386 | assert_approx_eq!(2.3f64.log10(), 0.361728); | |
1387 | assert_approx_eq!(1.0f64.exp().log10(), 0.434294); | |
1388 | assert_eq!(1.0f64.log10(), 0.0); | |
1389 | assert!(nan.log10().is_nan()); | |
1390 | assert_eq!(inf.log10(), inf); | |
1391 | assert!(neg_inf.log10().is_nan()); | |
1392 | assert!((-2.3f64).log10().is_nan()); | |
1393 | assert_eq!((-0.0f64).log10(), neg_inf); | |
1394 | assert_eq!(0.0f64.log10(), neg_inf); | |
1395 | } | |
1396 | ||
1397 | #[test] | |
1398 | fn test_to_degrees() { | |
1399 | let pi: f64 = consts::PI; | |
f035d41b XL |
1400 | let nan: f64 = f64::NAN; |
1401 | let inf: f64 = f64::INFINITY; | |
1402 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1403 | assert_eq!(0.0f64.to_degrees(), 0.0); |
1404 | assert_approx_eq!((-5.8f64).to_degrees(), -332.315521); | |
1405 | assert_eq!(pi.to_degrees(), 180.0); | |
1406 | assert!(nan.to_degrees().is_nan()); | |
1407 | assert_eq!(inf.to_degrees(), inf); | |
1408 | assert_eq!(neg_inf.to_degrees(), neg_inf); | |
1409 | } | |
1410 | ||
1411 | #[test] | |
1412 | fn test_to_radians() { | |
1413 | let pi: f64 = consts::PI; | |
f035d41b XL |
1414 | let nan: f64 = f64::NAN; |
1415 | let inf: f64 = f64::INFINITY; | |
1416 | let neg_inf: f64 = f64::NEG_INFINITY; | |
c34b1796 AL |
1417 | assert_eq!(0.0f64.to_radians(), 0.0); |
1418 | assert_approx_eq!(154.6f64.to_radians(), 2.698279); | |
1419 | assert_approx_eq!((-332.31f64).to_radians(), -5.799903); | |
1420 | assert_eq!(180.0f64.to_radians(), pi); | |
1421 | assert!(nan.to_radians().is_nan()); | |
1422 | assert_eq!(inf.to_radians(), inf); | |
1423 | assert_eq!(neg_inf.to_radians(), neg_inf); | |
1424 | } | |
1425 | ||
970d7e83 LB |
1426 | #[test] |
1427 | fn test_asinh() { | |
1428 | assert_eq!(0.0f64.asinh(), 0.0f64); | |
1429 | assert_eq!((-0.0f64).asinh(), -0.0f64); | |
1a4d82fc | 1430 | |
f035d41b XL |
1431 | let inf: f64 = f64::INFINITY; |
1432 | let neg_inf: f64 = f64::NEG_INFINITY; | |
1433 | let nan: f64 = f64::NAN; | |
1a4d82fc JJ |
1434 | assert_eq!(inf.asinh(), inf); |
1435 | assert_eq!(neg_inf.asinh(), neg_inf); | |
1436 | assert!(nan.asinh().is_nan()); | |
e1599b0c XL |
1437 | assert!((-0.0f64).asinh().is_sign_negative()); |
1438 | // issue 63271 | |
970d7e83 LB |
1439 | assert_approx_eq!(2.0f64.asinh(), 1.443635475178810342493276740273105f64); |
1440 | assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64); | |
f035d41b XL |
1441 | // regression test for the catastrophic cancellation fixed in 72486 |
1442 | assert_approx_eq!((-67452098.07139316f64).asinh(), -18.72007542627454439398548429400083); | |
970d7e83 LB |
1443 | } |
1444 | ||
1445 | #[test] | |
1446 | fn test_acosh() { | |
1447 | assert_eq!(1.0f64.acosh(), 0.0f64); | |
1a4d82fc JJ |
1448 | assert!(0.999f64.acosh().is_nan()); |
1449 | ||
f035d41b XL |
1450 | let inf: f64 = f64::INFINITY; |
1451 | let neg_inf: f64 = f64::NEG_INFINITY; | |
1452 | let nan: f64 = f64::NAN; | |
1a4d82fc JJ |
1453 | assert_eq!(inf.acosh(), inf); |
1454 | assert!(neg_inf.acosh().is_nan()); | |
1455 | assert!(nan.acosh().is_nan()); | |
970d7e83 LB |
1456 | assert_approx_eq!(2.0f64.acosh(), 1.31695789692481670862504634730796844f64); |
1457 | assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64); | |
1458 | } | |
1459 | ||
1460 | #[test] | |
1461 | fn test_atanh() { | |
1462 | assert_eq!(0.0f64.atanh(), 0.0f64); | |
1463 | assert_eq!((-0.0f64).atanh(), -0.0f64); | |
1a4d82fc | 1464 | |
f035d41b XL |
1465 | let inf: f64 = f64::INFINITY; |
1466 | let neg_inf: f64 = f64::NEG_INFINITY; | |
1467 | let nan: f64 = f64::NAN; | |
1a4d82fc JJ |
1468 | assert_eq!(1.0f64.atanh(), inf); |
1469 | assert_eq!((-1.0f64).atanh(), neg_inf); | |
1470 | assert!(2f64.atanh().atanh().is_nan()); | |
1471 | assert!((-2f64).atanh().atanh().is_nan()); | |
1472 | assert!(inf.atanh().is_nan()); | |
1473 | assert!(neg_inf.atanh().is_nan()); | |
1474 | assert!(nan.atanh().is_nan()); | |
970d7e83 LB |
1475 | assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64); |
1476 | assert_approx_eq!((-0.5f64).atanh(), -0.54930614433405484569762261846126285f64); | |
1477 | } | |
1478 | ||
1479 | #[test] | |
1480 | fn test_real_consts() { | |
1a4d82fc JJ |
1481 | use super::consts; |
1482 | let pi: f64 = consts::PI; | |
1a4d82fc JJ |
1483 | let frac_pi_2: f64 = consts::FRAC_PI_2; |
1484 | let frac_pi_3: f64 = consts::FRAC_PI_3; | |
1485 | let frac_pi_4: f64 = consts::FRAC_PI_4; | |
1486 | let frac_pi_6: f64 = consts::FRAC_PI_6; | |
1487 | let frac_pi_8: f64 = consts::FRAC_PI_8; | |
1488 | let frac_1_pi: f64 = consts::FRAC_1_PI; | |
1489 | let frac_2_pi: f64 = consts::FRAC_2_PI; | |
9346a6ac AL |
1490 | let frac_2_sqrtpi: f64 = consts::FRAC_2_SQRT_PI; |
1491 | let sqrt2: f64 = consts::SQRT_2; | |
1492 | let frac_1_sqrt2: f64 = consts::FRAC_1_SQRT_2; | |
1a4d82fc JJ |
1493 | let e: f64 = consts::E; |
1494 | let log2_e: f64 = consts::LOG2_E; | |
1495 | let log10_e: f64 = consts::LOG10_E; | |
1496 | let ln_2: f64 = consts::LN_2; | |
1497 | let ln_10: f64 = consts::LN_10; | |
1498 | ||
1a4d82fc JJ |
1499 | assert_approx_eq!(frac_pi_2, pi / 2f64); |
1500 | assert_approx_eq!(frac_pi_3, pi / 3f64); | |
1501 | assert_approx_eq!(frac_pi_4, pi / 4f64); | |
1502 | assert_approx_eq!(frac_pi_6, pi / 6f64); | |
1503 | assert_approx_eq!(frac_pi_8, pi / 8f64); | |
1504 | assert_approx_eq!(frac_1_pi, 1f64 / pi); | |
1505 | assert_approx_eq!(frac_2_pi, 2f64 / pi); | |
1506 | assert_approx_eq!(frac_2_sqrtpi, 2f64 / pi.sqrt()); | |
1507 | assert_approx_eq!(sqrt2, 2f64.sqrt()); | |
1508 | assert_approx_eq!(frac_1_sqrt2, 1f64 / 2f64.sqrt()); | |
1509 | assert_approx_eq!(log2_e, e.log2()); | |
1510 | assert_approx_eq!(log10_e, e.log10()); | |
1511 | assert_approx_eq!(ln_2, 2f64.ln()); | |
1512 | assert_approx_eq!(ln_10, 10f64.ln()); | |
970d7e83 | 1513 | } |
cc61c64b XL |
1514 | |
1515 | #[test] | |
1516 | fn test_float_bits_conv() { | |
1517 | assert_eq!((1f64).to_bits(), 0x3ff0000000000000); | |
1518 | assert_eq!((12.5f64).to_bits(), 0x4029000000000000); | |
1519 | assert_eq!((1337f64).to_bits(), 0x4094e40000000000); | |
1520 | assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000); | |
1521 | assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0); | |
1522 | assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5); | |
1523 | assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0); | |
1524 | assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25); | |
ff7c6d11 XL |
1525 | |
1526 | // Check that NaNs roundtrip their bits regardless of signalingness | |
1527 | // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits | |
1528 | let masked_nan1 = f64::NAN.to_bits() ^ 0x000A_AAAA_AAAA_AAAA; | |
1529 | let masked_nan2 = f64::NAN.to_bits() ^ 0x0005_5555_5555_5555; | |
1530 | assert!(f64::from_bits(masked_nan1).is_nan()); | |
1531 | assert!(f64::from_bits(masked_nan2).is_nan()); | |
1532 | ||
1533 | assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1); | |
1534 | assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2); | |
cc61c64b | 1535 | } |
532ac7d7 XL |
1536 | |
1537 | #[test] | |
1538 | #[should_panic] | |
1539 | fn test_clamp_min_greater_than_max() { | |
60c5eb7d | 1540 | let _ = 1.0f64.clamp(3.0, 1.0); |
532ac7d7 XL |
1541 | } |
1542 | ||
1543 | #[test] | |
1544 | #[should_panic] | |
1545 | fn test_clamp_min_is_nan() { | |
f035d41b | 1546 | let _ = 1.0f64.clamp(f64::NAN, 1.0); |
532ac7d7 XL |
1547 | } |
1548 | ||
1549 | #[test] | |
1550 | #[should_panic] | |
1551 | fn test_clamp_max_is_nan() { | |
f035d41b | 1552 | let _ = 1.0f64.clamp(3.0, f64::NAN); |
532ac7d7 | 1553 | } |
f9f354fc XL |
1554 | |
1555 | #[test] | |
1556 | fn test_total_cmp() { | |
1557 | use core::cmp::Ordering; | |
1558 | ||
1559 | fn quiet_bit_mask() -> u64 { | |
1560 | 1 << (f64::MANTISSA_DIGITS - 2) | |
1561 | } | |
1562 | ||
1563 | fn min_subnorm() -> f64 { | |
1564 | f64::MIN_POSITIVE / f64::powf(2.0, f64::MANTISSA_DIGITS as f64 - 1.0) | |
1565 | } | |
1566 | ||
1567 | fn max_subnorm() -> f64 { | |
1568 | f64::MIN_POSITIVE - min_subnorm() | |
1569 | } | |
1570 | ||
1571 | fn q_nan() -> f64 { | |
1572 | f64::from_bits(f64::NAN.to_bits() | quiet_bit_mask()) | |
1573 | } | |
1574 | ||
1575 | fn s_nan() -> f64 { | |
1576 | f64::from_bits((f64::NAN.to_bits() & !quiet_bit_mask()) + 42) | |
1577 | } | |
1578 | ||
1579 | assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan())); | |
1580 | assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan())); | |
1581 | assert_eq!(Ordering::Equal, (-f64::INFINITY).total_cmp(&-f64::INFINITY)); | |
1582 | assert_eq!(Ordering::Equal, (-f64::MAX).total_cmp(&-f64::MAX)); | |
1583 | assert_eq!(Ordering::Equal, (-2.5_f64).total_cmp(&-2.5)); | |
1584 | assert_eq!(Ordering::Equal, (-1.0_f64).total_cmp(&-1.0)); | |
1585 | assert_eq!(Ordering::Equal, (-1.5_f64).total_cmp(&-1.5)); | |
1586 | assert_eq!(Ordering::Equal, (-0.5_f64).total_cmp(&-0.5)); | |
1587 | assert_eq!(Ordering::Equal, (-f64::MIN_POSITIVE).total_cmp(&-f64::MIN_POSITIVE)); | |
1588 | assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm())); | |
1589 | assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm())); | |
1590 | assert_eq!(Ordering::Equal, (-0.0_f64).total_cmp(&-0.0)); | |
1591 | assert_eq!(Ordering::Equal, 0.0_f64.total_cmp(&0.0)); | |
1592 | assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm())); | |
1593 | assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm())); | |
1594 | assert_eq!(Ordering::Equal, f64::MIN_POSITIVE.total_cmp(&f64::MIN_POSITIVE)); | |
1595 | assert_eq!(Ordering::Equal, 0.5_f64.total_cmp(&0.5)); | |
1596 | assert_eq!(Ordering::Equal, 1.0_f64.total_cmp(&1.0)); | |
1597 | assert_eq!(Ordering::Equal, 1.5_f64.total_cmp(&1.5)); | |
1598 | assert_eq!(Ordering::Equal, 2.5_f64.total_cmp(&2.5)); | |
1599 | assert_eq!(Ordering::Equal, f64::MAX.total_cmp(&f64::MAX)); | |
1600 | assert_eq!(Ordering::Equal, f64::INFINITY.total_cmp(&f64::INFINITY)); | |
1601 | assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan())); | |
1602 | assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan())); | |
1603 | ||
1604 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan())); | |
1605 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY)); | |
1606 | assert_eq!(Ordering::Less, (-f64::INFINITY).total_cmp(&-f64::MAX)); | |
1607 | assert_eq!(Ordering::Less, (-f64::MAX).total_cmp(&-2.5)); | |
1608 | assert_eq!(Ordering::Less, (-2.5_f64).total_cmp(&-1.5)); | |
1609 | assert_eq!(Ordering::Less, (-1.5_f64).total_cmp(&-1.0)); | |
1610 | assert_eq!(Ordering::Less, (-1.0_f64).total_cmp(&-0.5)); | |
1611 | assert_eq!(Ordering::Less, (-0.5_f64).total_cmp(&-f64::MIN_POSITIVE)); | |
1612 | assert_eq!(Ordering::Less, (-f64::MIN_POSITIVE).total_cmp(&-max_subnorm())); | |
1613 | assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm())); | |
1614 | assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0)); | |
1615 | assert_eq!(Ordering::Less, (-0.0_f64).total_cmp(&0.0)); | |
1616 | assert_eq!(Ordering::Less, 0.0_f64.total_cmp(&min_subnorm())); | |
1617 | assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm())); | |
1618 | assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f64::MIN_POSITIVE)); | |
1619 | assert_eq!(Ordering::Less, f64::MIN_POSITIVE.total_cmp(&0.5)); | |
1620 | assert_eq!(Ordering::Less, 0.5_f64.total_cmp(&1.0)); | |
1621 | assert_eq!(Ordering::Less, 1.0_f64.total_cmp(&1.5)); | |
1622 | assert_eq!(Ordering::Less, 1.5_f64.total_cmp(&2.5)); | |
1623 | assert_eq!(Ordering::Less, 2.5_f64.total_cmp(&f64::MAX)); | |
1624 | assert_eq!(Ordering::Less, f64::MAX.total_cmp(&f64::INFINITY)); | |
1625 | assert_eq!(Ordering::Less, f64::INFINITY.total_cmp(&s_nan())); | |
1626 | assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan())); | |
1627 | ||
1628 | assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan())); | |
1629 | assert_eq!(Ordering::Greater, (-f64::INFINITY).total_cmp(&-s_nan())); | |
1630 | assert_eq!(Ordering::Greater, (-f64::MAX).total_cmp(&-f64::INFINITY)); | |
1631 | assert_eq!(Ordering::Greater, (-2.5_f64).total_cmp(&-f64::MAX)); | |
1632 | assert_eq!(Ordering::Greater, (-1.5_f64).total_cmp(&-2.5)); | |
1633 | assert_eq!(Ordering::Greater, (-1.0_f64).total_cmp(&-1.5)); | |
1634 | assert_eq!(Ordering::Greater, (-0.5_f64).total_cmp(&-1.0)); | |
1635 | assert_eq!(Ordering::Greater, (-f64::MIN_POSITIVE).total_cmp(&-0.5)); | |
1636 | assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f64::MIN_POSITIVE)); | |
1637 | assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm())); | |
1638 | assert_eq!(Ordering::Greater, (-0.0_f64).total_cmp(&-min_subnorm())); | |
1639 | assert_eq!(Ordering::Greater, 0.0_f64.total_cmp(&-0.0)); | |
1640 | assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0)); | |
1641 | assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm())); | |
1642 | assert_eq!(Ordering::Greater, f64::MIN_POSITIVE.total_cmp(&max_subnorm())); | |
1643 | assert_eq!(Ordering::Greater, 0.5_f64.total_cmp(&f64::MIN_POSITIVE)); | |
1644 | assert_eq!(Ordering::Greater, 1.0_f64.total_cmp(&0.5)); | |
1645 | assert_eq!(Ordering::Greater, 1.5_f64.total_cmp(&1.0)); | |
1646 | assert_eq!(Ordering::Greater, 2.5_f64.total_cmp(&1.5)); | |
1647 | assert_eq!(Ordering::Greater, f64::MAX.total_cmp(&2.5)); | |
1648 | assert_eq!(Ordering::Greater, f64::INFINITY.total_cmp(&f64::MAX)); | |
1649 | assert_eq!(Ordering::Greater, s_nan().total_cmp(&f64::INFINITY)); | |
1650 | assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan())); | |
1651 | ||
1652 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan())); | |
1653 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::INFINITY)); | |
1654 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MAX)); | |
1655 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5)); | |
1656 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5)); | |
1657 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0)); | |
1658 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5)); | |
1659 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MIN_POSITIVE)); | |
1660 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm())); | |
1661 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm())); | |
1662 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0)); | |
1663 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0)); | |
1664 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm())); | |
1665 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm())); | |
1666 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MIN_POSITIVE)); | |
1667 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5)); | |
1668 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0)); | |
1669 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5)); | |
1670 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5)); | |
1671 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MAX)); | |
1672 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::INFINITY)); | |
1673 | assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan())); | |
1674 | ||
1675 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY)); | |
1676 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MAX)); | |
1677 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5)); | |
1678 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5)); | |
1679 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0)); | |
1680 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5)); | |
1681 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MIN_POSITIVE)); | |
1682 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm())); | |
1683 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm())); | |
1684 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0)); | |
1685 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0)); | |
1686 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm())); | |
1687 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm())); | |
1688 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MIN_POSITIVE)); | |
1689 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5)); | |
1690 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0)); | |
1691 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5)); | |
1692 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5)); | |
1693 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MAX)); | |
1694 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::INFINITY)); | |
1695 | assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan())); | |
1696 | } | |
970d7e83 | 1697 | } |