| 1 | /// The addition operator `+`. |
| 2 | /// |
| 3 | /// Note that `Rhs` is `Self` by default, but this is not mandatory. For |
| 4 | /// example, [`std::time::SystemTime`] implements `Add<Duration>`, which permits |
| 5 | /// operations of the form `SystemTime = SystemTime + Duration`. |
| 6 | /// |
| 7 | /// [`std::time::SystemTime`]: ../../std/time/struct.SystemTime.html |
| 8 | /// |
| 9 | /// # Examples |
| 10 | /// |
| 11 | /// ## `Add`able points |
| 12 | /// |
| 13 | /// ``` |
| 14 | /// use std::ops::Add; |
| 15 | /// |
| 16 | /// #[derive(Debug, Copy, Clone, PartialEq)] |
| 17 | /// struct Point { |
| 18 | /// x: i32, |
| 19 | /// y: i32, |
| 20 | /// } |
| 21 | /// |
| 22 | /// impl Add for Point { |
| 23 | /// type Output = Self; |
| 24 | /// |
| 25 | /// fn add(self, other: Self) -> Self { |
| 26 | /// Self { |
| 27 | /// x: self.x + other.x, |
| 28 | /// y: self.y + other.y, |
| 29 | /// } |
| 30 | /// } |
| 31 | /// } |
| 32 | /// |
| 33 | /// assert_eq!(Point { x: 1, y: 0 } + Point { x: 2, y: 3 }, |
| 34 | /// Point { x: 3, y: 3 }); |
| 35 | /// ``` |
| 36 | /// |
| 37 | /// ## Implementing `Add` with generics |
| 38 | /// |
| 39 | /// Here is an example of the same `Point` struct implementing the `Add` trait |
| 40 | /// using generics. |
| 41 | /// |
| 42 | /// ``` |
| 43 | /// use std::ops::Add; |
| 44 | /// |
| 45 | /// #[derive(Debug, Copy, Clone, PartialEq)] |
| 46 | /// struct Point<T> { |
| 47 | /// x: T, |
| 48 | /// y: T, |
| 49 | /// } |
| 50 | /// |
| 51 | /// // Notice that the implementation uses the associated type `Output`. |
| 52 | /// impl<T: Add<Output = T>> Add for Point<T> { |
| 53 | /// type Output = Self; |
| 54 | /// |
| 55 | /// fn add(self, other: Self) -> Self::Output { |
| 56 | /// Self { |
| 57 | /// x: self.x + other.x, |
| 58 | /// y: self.y + other.y, |
| 59 | /// } |
| 60 | /// } |
| 61 | /// } |
| 62 | /// |
| 63 | /// assert_eq!(Point { x: 1, y: 0 } + Point { x: 2, y: 3 }, |
| 64 | /// Point { x: 3, y: 3 }); |
| 65 | /// ``` |
| 66 | #[lang = "add" ] |
| 67 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 68 | #[rustc_const_unstable (feature = "const_ops" , issue = "90080" )] |
| 69 | #[rustc_on_unimplemented ( |
| 70 | on(all(Self = "{integer}" , Rhs = "{float}" ), message = "cannot add a float to an integer" ,), |
| 71 | on(all(Self = "{float}" , Rhs = "{integer}" ), message = "cannot add an integer to a float" ,), |
| 72 | message = "cannot add `{Rhs}` to `{Self}`" , |
| 73 | label = "no implementation for `{Self} + {Rhs}`" , |
| 74 | append_const_msg |
| 75 | )] |
| 76 | #[doc (alias = "+" )] |
| 77 | #[const_trait ] |
| 78 | pub trait Add<Rhs = Self> { |
| 79 | /// The resulting type after applying the `+` operator. |
| 80 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 81 | type Output; |
| 82 | |
| 83 | /// Performs the `+` operation. |
| 84 | /// |
| 85 | /// # Example |
| 86 | /// |
| 87 | /// ``` |
| 88 | /// assert_eq!(12 + 1, 13); |
| 89 | /// ``` |
| 90 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 91 | #[rustc_diagnostic_item = "add" ] |
| 92 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 93 | fn add(self, rhs: Rhs) -> Self::Output; |
| 94 | } |
| 95 | |
| 96 | macro_rules! add_impl { |
| 97 | ($($t:ty)*) => ($( |
| 98 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 99 | #[rustc_const_unstable(feature = "const_ops" , issue = "90080" )] |
| 100 | impl const Add for $t { |
| 101 | type Output = $t; |
| 102 | |
| 103 | #[inline] |
| 104 | #[track_caller] |
| 105 | #[rustc_inherit_overflow_checks] |
| 106 | fn add(self, other: $t) -> $t { self + other } |
| 107 | } |
| 108 | |
| 109 | forward_ref_binop! { impl Add, add for $t, $t } |
| 110 | )*) |
| 111 | } |
| 112 | |
| 113 | add_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 114 | |
| 115 | /// The subtraction operator `-`. |
| 116 | /// |
| 117 | /// Note that `Rhs` is `Self` by default, but this is not mandatory. For |
| 118 | /// example, [`std::time::SystemTime`] implements `Sub<Duration>`, which permits |
| 119 | /// operations of the form `SystemTime = SystemTime - Duration`. |
| 120 | /// |
| 121 | /// [`std::time::SystemTime`]: ../../std/time/struct.SystemTime.html |
| 122 | /// |
| 123 | /// # Examples |
| 124 | /// |
| 125 | /// ## `Sub`tractable points |
| 126 | /// |
| 127 | /// ``` |
| 128 | /// use std::ops::Sub; |
| 129 | /// |
| 130 | /// #[derive(Debug, Copy, Clone, PartialEq)] |
| 131 | /// struct Point { |
| 132 | /// x: i32, |
| 133 | /// y: i32, |
| 134 | /// } |
| 135 | /// |
| 136 | /// impl Sub for Point { |
| 137 | /// type Output = Self; |
| 138 | /// |
| 139 | /// fn sub(self, other: Self) -> Self::Output { |
| 140 | /// Self { |
| 141 | /// x: self.x - other.x, |
| 142 | /// y: self.y - other.y, |
| 143 | /// } |
| 144 | /// } |
| 145 | /// } |
| 146 | /// |
| 147 | /// assert_eq!(Point { x: 3, y: 3 } - Point { x: 2, y: 3 }, |
| 148 | /// Point { x: 1, y: 0 }); |
| 149 | /// ``` |
| 150 | /// |
| 151 | /// ## Implementing `Sub` with generics |
| 152 | /// |
| 153 | /// Here is an example of the same `Point` struct implementing the `Sub` trait |
| 154 | /// using generics. |
| 155 | /// |
| 156 | /// ``` |
| 157 | /// use std::ops::Sub; |
| 158 | /// |
| 159 | /// #[derive(Debug, PartialEq)] |
| 160 | /// struct Point<T> { |
| 161 | /// x: T, |
| 162 | /// y: T, |
| 163 | /// } |
| 164 | /// |
| 165 | /// // Notice that the implementation uses the associated type `Output`. |
| 166 | /// impl<T: Sub<Output = T>> Sub for Point<T> { |
| 167 | /// type Output = Self; |
| 168 | /// |
| 169 | /// fn sub(self, other: Self) -> Self::Output { |
| 170 | /// Point { |
| 171 | /// x: self.x - other.x, |
| 172 | /// y: self.y - other.y, |
| 173 | /// } |
| 174 | /// } |
| 175 | /// } |
| 176 | /// |
| 177 | /// assert_eq!(Point { x: 2, y: 3 } - Point { x: 1, y: 0 }, |
| 178 | /// Point { x: 1, y: 3 }); |
| 179 | /// ``` |
| 180 | #[lang = "sub" ] |
| 181 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 182 | #[rustc_on_unimplemented ( |
| 183 | message = "cannot subtract `{Rhs}` from `{Self}`" , |
| 184 | label = "no implementation for `{Self} - {Rhs}`" , |
| 185 | append_const_msg |
| 186 | )] |
| 187 | #[doc (alias = "-" )] |
| 188 | pub trait Sub<Rhs = Self> { |
| 189 | /// The resulting type after applying the `-` operator. |
| 190 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 191 | type Output; |
| 192 | |
| 193 | /// Performs the `-` operation. |
| 194 | /// |
| 195 | /// # Example |
| 196 | /// |
| 197 | /// ``` |
| 198 | /// assert_eq!(12 - 1, 11); |
| 199 | /// ``` |
| 200 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 201 | #[rustc_diagnostic_item = "sub" ] |
| 202 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 203 | fn sub(self, rhs: Rhs) -> Self::Output; |
| 204 | } |
| 205 | |
| 206 | macro_rules! sub_impl { |
| 207 | ($($t:ty)*) => ($( |
| 208 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 209 | impl Sub for $t { |
| 210 | type Output = $t; |
| 211 | |
| 212 | #[inline] |
| 213 | #[track_caller] |
| 214 | #[rustc_inherit_overflow_checks] |
| 215 | fn sub(self, other: $t) -> $t { self - other } |
| 216 | } |
| 217 | |
| 218 | forward_ref_binop! { impl Sub, sub for $t, $t } |
| 219 | )*) |
| 220 | } |
| 221 | |
| 222 | sub_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 223 | |
| 224 | /// The multiplication operator `*`. |
| 225 | /// |
| 226 | /// Note that `Rhs` is `Self` by default, but this is not mandatory. |
| 227 | /// |
| 228 | /// # Examples |
| 229 | /// |
| 230 | /// ## `Mul`tipliable rational numbers |
| 231 | /// |
| 232 | /// ``` |
| 233 | /// use std::ops::Mul; |
| 234 | /// |
| 235 | /// // By the fundamental theorem of arithmetic, rational numbers in lowest |
| 236 | /// // terms are unique. So, by keeping `Rational`s in reduced form, we can |
| 237 | /// // derive `Eq` and `PartialEq`. |
| 238 | /// #[derive(Debug, Eq, PartialEq)] |
| 239 | /// struct Rational { |
| 240 | /// numerator: usize, |
| 241 | /// denominator: usize, |
| 242 | /// } |
| 243 | /// |
| 244 | /// impl Rational { |
| 245 | /// fn new(numerator: usize, denominator: usize) -> Self { |
| 246 | /// if denominator == 0 { |
| 247 | /// panic!("Zero is an invalid denominator!" ); |
| 248 | /// } |
| 249 | /// |
| 250 | /// // Reduce to lowest terms by dividing by the greatest common |
| 251 | /// // divisor. |
| 252 | /// let gcd = gcd(numerator, denominator); |
| 253 | /// Self { |
| 254 | /// numerator: numerator / gcd, |
| 255 | /// denominator: denominator / gcd, |
| 256 | /// } |
| 257 | /// } |
| 258 | /// } |
| 259 | /// |
| 260 | /// impl Mul for Rational { |
| 261 | /// // The multiplication of rational numbers is a closed operation. |
| 262 | /// type Output = Self; |
| 263 | /// |
| 264 | /// fn mul(self, rhs: Self) -> Self { |
| 265 | /// let numerator = self.numerator * rhs.numerator; |
| 266 | /// let denominator = self.denominator * rhs.denominator; |
| 267 | /// Self::new(numerator, denominator) |
| 268 | /// } |
| 269 | /// } |
| 270 | /// |
| 271 | /// // Euclid's two-thousand-year-old algorithm for finding the greatest common |
| 272 | /// // divisor. |
| 273 | /// fn gcd(x: usize, y: usize) -> usize { |
| 274 | /// let mut x = x; |
| 275 | /// let mut y = y; |
| 276 | /// while y != 0 { |
| 277 | /// let t = y; |
| 278 | /// y = x % y; |
| 279 | /// x = t; |
| 280 | /// } |
| 281 | /// x |
| 282 | /// } |
| 283 | /// |
| 284 | /// assert_eq!(Rational::new(1, 2), Rational::new(2, 4)); |
| 285 | /// assert_eq!(Rational::new(2, 3) * Rational::new(3, 4), |
| 286 | /// Rational::new(1, 2)); |
| 287 | /// ``` |
| 288 | /// |
| 289 | /// ## Multiplying vectors by scalars as in linear algebra |
| 290 | /// |
| 291 | /// ``` |
| 292 | /// use std::ops::Mul; |
| 293 | /// |
| 294 | /// struct Scalar { value: usize } |
| 295 | /// |
| 296 | /// #[derive(Debug, PartialEq)] |
| 297 | /// struct Vector { value: Vec<usize> } |
| 298 | /// |
| 299 | /// impl Mul<Scalar> for Vector { |
| 300 | /// type Output = Self; |
| 301 | /// |
| 302 | /// fn mul(self, rhs: Scalar) -> Self::Output { |
| 303 | /// Self { value: self.value.iter().map(|v| v * rhs.value).collect() } |
| 304 | /// } |
| 305 | /// } |
| 306 | /// |
| 307 | /// let vector = Vector { value: vec![2, 4, 6] }; |
| 308 | /// let scalar = Scalar { value: 3 }; |
| 309 | /// assert_eq!(vector * scalar, Vector { value: vec![6, 12, 18] }); |
| 310 | /// ``` |
| 311 | #[lang = "mul" ] |
| 312 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 313 | #[diagnostic::on_unimplemented( |
| 314 | message = "cannot multiply `{Self}` by `{Rhs}`" , |
| 315 | label = "no implementation for `{Self} * {Rhs}`" |
| 316 | )] |
| 317 | #[doc (alias = "*" )] |
| 318 | pub trait Mul<Rhs = Self> { |
| 319 | /// The resulting type after applying the `*` operator. |
| 320 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 321 | type Output; |
| 322 | |
| 323 | /// Performs the `*` operation. |
| 324 | /// |
| 325 | /// # Example |
| 326 | /// |
| 327 | /// ``` |
| 328 | /// assert_eq!(12 * 2, 24); |
| 329 | /// ``` |
| 330 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 331 | #[rustc_diagnostic_item = "mul" ] |
| 332 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 333 | fn mul(self, rhs: Rhs) -> Self::Output; |
| 334 | } |
| 335 | |
| 336 | macro_rules! mul_impl { |
| 337 | ($($t:ty)*) => ($( |
| 338 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 339 | impl Mul for $t { |
| 340 | type Output = $t; |
| 341 | |
| 342 | #[inline] |
| 343 | #[track_caller] |
| 344 | #[rustc_inherit_overflow_checks] |
| 345 | fn mul(self, other: $t) -> $t { self * other } |
| 346 | } |
| 347 | |
| 348 | forward_ref_binop! { impl Mul, mul for $t, $t } |
| 349 | )*) |
| 350 | } |
| 351 | |
| 352 | mul_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 353 | |
| 354 | /// The division operator `/`. |
| 355 | /// |
| 356 | /// Note that `Rhs` is `Self` by default, but this is not mandatory. |
| 357 | /// |
| 358 | /// # Examples |
| 359 | /// |
| 360 | /// ## `Div`idable rational numbers |
| 361 | /// |
| 362 | /// ``` |
| 363 | /// use std::ops::Div; |
| 364 | /// |
| 365 | /// // By the fundamental theorem of arithmetic, rational numbers in lowest |
| 366 | /// // terms are unique. So, by keeping `Rational`s in reduced form, we can |
| 367 | /// // derive `Eq` and `PartialEq`. |
| 368 | /// #[derive(Debug, Eq, PartialEq)] |
| 369 | /// struct Rational { |
| 370 | /// numerator: usize, |
| 371 | /// denominator: usize, |
| 372 | /// } |
| 373 | /// |
| 374 | /// impl Rational { |
| 375 | /// fn new(numerator: usize, denominator: usize) -> Self { |
| 376 | /// if denominator == 0 { |
| 377 | /// panic!("Zero is an invalid denominator!" ); |
| 378 | /// } |
| 379 | /// |
| 380 | /// // Reduce to lowest terms by dividing by the greatest common |
| 381 | /// // divisor. |
| 382 | /// let gcd = gcd(numerator, denominator); |
| 383 | /// Self { |
| 384 | /// numerator: numerator / gcd, |
| 385 | /// denominator: denominator / gcd, |
| 386 | /// } |
| 387 | /// } |
| 388 | /// } |
| 389 | /// |
| 390 | /// impl Div for Rational { |
| 391 | /// // The division of rational numbers is a closed operation. |
| 392 | /// type Output = Self; |
| 393 | /// |
| 394 | /// fn div(self, rhs: Self) -> Self::Output { |
| 395 | /// if rhs.numerator == 0 { |
| 396 | /// panic!("Cannot divide by zero-valued `Rational`!" ); |
| 397 | /// } |
| 398 | /// |
| 399 | /// let numerator = self.numerator * rhs.denominator; |
| 400 | /// let denominator = self.denominator * rhs.numerator; |
| 401 | /// Self::new(numerator, denominator) |
| 402 | /// } |
| 403 | /// } |
| 404 | /// |
| 405 | /// // Euclid's two-thousand-year-old algorithm for finding the greatest common |
| 406 | /// // divisor. |
| 407 | /// fn gcd(x: usize, y: usize) -> usize { |
| 408 | /// let mut x = x; |
| 409 | /// let mut y = y; |
| 410 | /// while y != 0 { |
| 411 | /// let t = y; |
| 412 | /// y = x % y; |
| 413 | /// x = t; |
| 414 | /// } |
| 415 | /// x |
| 416 | /// } |
| 417 | /// |
| 418 | /// assert_eq!(Rational::new(1, 2), Rational::new(2, 4)); |
| 419 | /// assert_eq!(Rational::new(1, 2) / Rational::new(3, 4), |
| 420 | /// Rational::new(2, 3)); |
| 421 | /// ``` |
| 422 | /// |
| 423 | /// ## Dividing vectors by scalars as in linear algebra |
| 424 | /// |
| 425 | /// ``` |
| 426 | /// use std::ops::Div; |
| 427 | /// |
| 428 | /// struct Scalar { value: f32 } |
| 429 | /// |
| 430 | /// #[derive(Debug, PartialEq)] |
| 431 | /// struct Vector { value: Vec<f32> } |
| 432 | /// |
| 433 | /// impl Div<Scalar> for Vector { |
| 434 | /// type Output = Self; |
| 435 | /// |
| 436 | /// fn div(self, rhs: Scalar) -> Self::Output { |
| 437 | /// Self { value: self.value.iter().map(|v| v / rhs.value).collect() } |
| 438 | /// } |
| 439 | /// } |
| 440 | /// |
| 441 | /// let scalar = Scalar { value: 2f32 }; |
| 442 | /// let vector = Vector { value: vec![2f32, 4f32, 6f32] }; |
| 443 | /// assert_eq!(vector / scalar, Vector { value: vec![1f32, 2f32, 3f32] }); |
| 444 | /// ``` |
| 445 | #[lang = "div" ] |
| 446 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 447 | #[diagnostic::on_unimplemented( |
| 448 | message = "cannot divide `{Self}` by `{Rhs}`" , |
| 449 | label = "no implementation for `{Self} / {Rhs}`" |
| 450 | )] |
| 451 | #[doc (alias = "/" )] |
| 452 | pub trait Div<Rhs = Self> { |
| 453 | /// The resulting type after applying the `/` operator. |
| 454 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 455 | type Output; |
| 456 | |
| 457 | /// Performs the `/` operation. |
| 458 | /// |
| 459 | /// # Example |
| 460 | /// |
| 461 | /// ``` |
| 462 | /// assert_eq!(12 / 2, 6); |
| 463 | /// ``` |
| 464 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 465 | #[rustc_diagnostic_item = "div" ] |
| 466 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 467 | fn div(self, rhs: Rhs) -> Self::Output; |
| 468 | } |
| 469 | |
| 470 | macro_rules! div_impl_integer { |
| 471 | ($(($($t:ty)*) => $panic:expr),*) => ($($( |
| 472 | /// This operation rounds towards zero, truncating any |
| 473 | /// fractional part of the exact result. |
| 474 | /// |
| 475 | /// # Panics |
| 476 | /// |
| 477 | #[doc = $panic] |
| 478 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 479 | impl Div for $t { |
| 480 | type Output = $t; |
| 481 | |
| 482 | #[inline] |
| 483 | #[track_caller] |
| 484 | fn div(self, other: $t) -> $t { self / other } |
| 485 | } |
| 486 | |
| 487 | forward_ref_binop! { impl Div, div for $t, $t } |
| 488 | )*)*) |
| 489 | } |
| 490 | |
| 491 | div_impl_integer! { |
| 492 | (usize u8 u16 u32 u64 u128) => "This operation will panic if `other == 0`." , |
| 493 | (isize i8 i16 i32 i64 i128) => "This operation will panic if `other == 0` or the division results in overflow." |
| 494 | } |
| 495 | |
| 496 | macro_rules! div_impl_float { |
| 497 | ($($t:ty)*) => ($( |
| 498 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 499 | impl Div for $t { |
| 500 | type Output = $t; |
| 501 | |
| 502 | #[inline] |
| 503 | fn div(self, other: $t) -> $t { self / other } |
| 504 | } |
| 505 | |
| 506 | forward_ref_binop! { impl Div, div for $t, $t } |
| 507 | )*) |
| 508 | } |
| 509 | |
| 510 | div_impl_float! { f16 f32 f64 f128 } |
| 511 | |
| 512 | /// The remainder operator `%`. |
| 513 | /// |
| 514 | /// Note that `Rhs` is `Self` by default, but this is not mandatory. |
| 515 | /// |
| 516 | /// # Examples |
| 517 | /// |
| 518 | /// This example implements `Rem` on a `SplitSlice` object. After `Rem` is |
| 519 | /// implemented, one can use the `%` operator to find out what the remaining |
| 520 | /// elements of the slice would be after splitting it into equal slices of a |
| 521 | /// given length. |
| 522 | /// |
| 523 | /// ``` |
| 524 | /// use std::ops::Rem; |
| 525 | /// |
| 526 | /// #[derive(PartialEq, Debug)] |
| 527 | /// struct SplitSlice<'a, T> { |
| 528 | /// slice: &'a [T], |
| 529 | /// } |
| 530 | /// |
| 531 | /// impl<'a, T> Rem<usize> for SplitSlice<'a, T> { |
| 532 | /// type Output = Self; |
| 533 | /// |
| 534 | /// fn rem(self, modulus: usize) -> Self::Output { |
| 535 | /// let len = self.slice.len(); |
| 536 | /// let rem = len % modulus; |
| 537 | /// let start = len - rem; |
| 538 | /// Self {slice: &self.slice[start..]} |
| 539 | /// } |
| 540 | /// } |
| 541 | /// |
| 542 | /// // If we were to divide &[0, 1, 2, 3, 4, 5, 6, 7] into slices of size 3, |
| 543 | /// // the remainder would be &[6, 7]. |
| 544 | /// assert_eq!(SplitSlice { slice: &[0, 1, 2, 3, 4, 5, 6, 7] } % 3, |
| 545 | /// SplitSlice { slice: &[6, 7] }); |
| 546 | /// ``` |
| 547 | #[lang = "rem" ] |
| 548 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 549 | #[diagnostic::on_unimplemented( |
| 550 | message = "cannot calculate the remainder of `{Self}` divided by `{Rhs}`" , |
| 551 | label = "no implementation for `{Self} % {Rhs}`" |
| 552 | )] |
| 553 | #[doc (alias = "%" )] |
| 554 | pub trait Rem<Rhs = Self> { |
| 555 | /// The resulting type after applying the `%` operator. |
| 556 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 557 | type Output; |
| 558 | |
| 559 | /// Performs the `%` operation. |
| 560 | /// |
| 561 | /// # Example |
| 562 | /// |
| 563 | /// ``` |
| 564 | /// assert_eq!(12 % 10, 2); |
| 565 | /// ``` |
| 566 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 567 | #[rustc_diagnostic_item = "rem" ] |
| 568 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 569 | fn rem(self, rhs: Rhs) -> Self::Output; |
| 570 | } |
| 571 | |
| 572 | macro_rules! rem_impl_integer { |
| 573 | ($(($($t:ty)*) => $panic:expr),*) => ($($( |
| 574 | /// This operation satisfies `n % d == n - (n / d) * d`. The |
| 575 | /// result has the same sign as the left operand. |
| 576 | /// |
| 577 | /// # Panics |
| 578 | /// |
| 579 | #[doc = $panic] |
| 580 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 581 | impl Rem for $t { |
| 582 | type Output = $t; |
| 583 | |
| 584 | #[inline] |
| 585 | #[track_caller] |
| 586 | fn rem(self, other: $t) -> $t { self % other } |
| 587 | } |
| 588 | |
| 589 | forward_ref_binop! { impl Rem, rem for $t, $t } |
| 590 | )*)*) |
| 591 | } |
| 592 | |
| 593 | rem_impl_integer! { |
| 594 | (usize u8 u16 u32 u64 u128) => "This operation will panic if `other == 0`." , |
| 595 | (isize i8 i16 i32 i64 i128) => "This operation will panic if `other == 0` or if `self / other` results in overflow." |
| 596 | } |
| 597 | |
| 598 | macro_rules! rem_impl_float { |
| 599 | ($($t:ty)*) => ($( |
| 600 | |
| 601 | /// The remainder from the division of two floats. |
| 602 | /// |
| 603 | /// The remainder has the same sign as the dividend and is computed as: |
| 604 | /// `x - (x / y).trunc() * y`. |
| 605 | /// |
| 606 | /// # Examples |
| 607 | /// ``` |
| 608 | /// let x: f32 = 50.50; |
| 609 | /// let y: f32 = 8.125; |
| 610 | /// let remainder = x - (x / y).trunc() * y; |
| 611 | /// |
| 612 | /// // The answer to both operations is 1.75 |
| 613 | /// assert_eq!(x % y, remainder); |
| 614 | /// ``` |
| 615 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 616 | impl Rem for $t { |
| 617 | type Output = $t; |
| 618 | |
| 619 | #[inline] |
| 620 | fn rem(self, other: $t) -> $t { self % other } |
| 621 | } |
| 622 | |
| 623 | forward_ref_binop! { impl Rem, rem for $t, $t } |
| 624 | )*) |
| 625 | } |
| 626 | |
| 627 | rem_impl_float! { f16 f32 f64 f128 } |
| 628 | |
| 629 | /// The unary negation operator `-`. |
| 630 | /// |
| 631 | /// # Examples |
| 632 | /// |
| 633 | /// An implementation of `Neg` for `Sign`, which allows the use of `-` to |
| 634 | /// negate its value. |
| 635 | /// |
| 636 | /// ``` |
| 637 | /// use std::ops::Neg; |
| 638 | /// |
| 639 | /// #[derive(Debug, PartialEq)] |
| 640 | /// enum Sign { |
| 641 | /// Negative, |
| 642 | /// Zero, |
| 643 | /// Positive, |
| 644 | /// } |
| 645 | /// |
| 646 | /// impl Neg for Sign { |
| 647 | /// type Output = Self; |
| 648 | /// |
| 649 | /// fn neg(self) -> Self::Output { |
| 650 | /// match self { |
| 651 | /// Sign::Negative => Sign::Positive, |
| 652 | /// Sign::Zero => Sign::Zero, |
| 653 | /// Sign::Positive => Sign::Negative, |
| 654 | /// } |
| 655 | /// } |
| 656 | /// } |
| 657 | /// |
| 658 | /// // A negative positive is a negative. |
| 659 | /// assert_eq!(-Sign::Positive, Sign::Negative); |
| 660 | /// // A double negative is a positive. |
| 661 | /// assert_eq!(-Sign::Negative, Sign::Positive); |
| 662 | /// // Zero is its own negation. |
| 663 | /// assert_eq!(-Sign::Zero, Sign::Zero); |
| 664 | /// ``` |
| 665 | #[lang = "neg" ] |
| 666 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 667 | #[doc (alias = "-" )] |
| 668 | pub trait Neg { |
| 669 | /// The resulting type after applying the `-` operator. |
| 670 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 671 | type Output; |
| 672 | |
| 673 | /// Performs the unary `-` operation. |
| 674 | /// |
| 675 | /// # Example |
| 676 | /// |
| 677 | /// ``` |
| 678 | /// let x: i32 = 12; |
| 679 | /// assert_eq!(-x, -12); |
| 680 | /// ``` |
| 681 | #[must_use = "this returns the result of the operation, without modifying the original" ] |
| 682 | #[rustc_diagnostic_item = "neg" ] |
| 683 | #[stable (feature = "rust1" , since = "1.0.0" )] |
| 684 | fn neg(self) -> Self::Output; |
| 685 | } |
| 686 | |
| 687 | macro_rules! neg_impl { |
| 688 | ($($t:ty)*) => ($( |
| 689 | #[stable(feature = "rust1" , since = "1.0.0" )] |
| 690 | impl Neg for $t { |
| 691 | type Output = $t; |
| 692 | |
| 693 | #[inline] |
| 694 | #[rustc_inherit_overflow_checks] |
| 695 | fn neg(self) -> $t { -self } |
| 696 | } |
| 697 | |
| 698 | forward_ref_unop! { impl Neg, neg for $t } |
| 699 | )*) |
| 700 | } |
| 701 | |
| 702 | neg_impl! { isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 703 | |
| 704 | /// The addition assignment operator `+=`. |
| 705 | /// |
| 706 | /// # Examples |
| 707 | /// |
| 708 | /// This example creates a `Point` struct that implements the `AddAssign` |
| 709 | /// trait, and then demonstrates add-assigning to a mutable `Point`. |
| 710 | /// |
| 711 | /// ``` |
| 712 | /// use std::ops::AddAssign; |
| 713 | /// |
| 714 | /// #[derive(Debug, Copy, Clone, PartialEq)] |
| 715 | /// struct Point { |
| 716 | /// x: i32, |
| 717 | /// y: i32, |
| 718 | /// } |
| 719 | /// |
| 720 | /// impl AddAssign for Point { |
| 721 | /// fn add_assign(&mut self, other: Self) { |
| 722 | /// *self = Self { |
| 723 | /// x: self.x + other.x, |
| 724 | /// y: self.y + other.y, |
| 725 | /// }; |
| 726 | /// } |
| 727 | /// } |
| 728 | /// |
| 729 | /// let mut point = Point { x: 1, y: 0 }; |
| 730 | /// point += Point { x: 2, y: 3 }; |
| 731 | /// assert_eq!(point, Point { x: 3, y: 3 }); |
| 732 | /// ``` |
| 733 | #[lang = "add_assign" ] |
| 734 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 735 | #[diagnostic::on_unimplemented( |
| 736 | message = "cannot add-assign `{Rhs}` to `{Self}`" , |
| 737 | label = "no implementation for `{Self} += {Rhs}`" |
| 738 | )] |
| 739 | #[doc (alias = "+" )] |
| 740 | #[doc (alias = "+=" )] |
| 741 | pub trait AddAssign<Rhs = Self> { |
| 742 | /// Performs the `+=` operation. |
| 743 | /// |
| 744 | /// # Example |
| 745 | /// |
| 746 | /// ``` |
| 747 | /// let mut x: u32 = 12; |
| 748 | /// x += 1; |
| 749 | /// assert_eq!(x, 13); |
| 750 | /// ``` |
| 751 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 752 | fn add_assign(&mut self, rhs: Rhs); |
| 753 | } |
| 754 | |
| 755 | macro_rules! add_assign_impl { |
| 756 | ($($t:ty)+) => ($( |
| 757 | #[stable(feature = "op_assign_traits" , since = "1.8.0" )] |
| 758 | impl AddAssign for $t { |
| 759 | #[inline] |
| 760 | #[track_caller] |
| 761 | #[rustc_inherit_overflow_checks] |
| 762 | fn add_assign(&mut self, other: $t) { *self += other } |
| 763 | } |
| 764 | |
| 765 | forward_ref_op_assign! { impl AddAssign, add_assign for $t, $t } |
| 766 | )+) |
| 767 | } |
| 768 | |
| 769 | add_assign_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 770 | |
| 771 | /// The subtraction assignment operator `-=`. |
| 772 | /// |
| 773 | /// # Examples |
| 774 | /// |
| 775 | /// This example creates a `Point` struct that implements the `SubAssign` |
| 776 | /// trait, and then demonstrates sub-assigning to a mutable `Point`. |
| 777 | /// |
| 778 | /// ``` |
| 779 | /// use std::ops::SubAssign; |
| 780 | /// |
| 781 | /// #[derive(Debug, Copy, Clone, PartialEq)] |
| 782 | /// struct Point { |
| 783 | /// x: i32, |
| 784 | /// y: i32, |
| 785 | /// } |
| 786 | /// |
| 787 | /// impl SubAssign for Point { |
| 788 | /// fn sub_assign(&mut self, other: Self) { |
| 789 | /// *self = Self { |
| 790 | /// x: self.x - other.x, |
| 791 | /// y: self.y - other.y, |
| 792 | /// }; |
| 793 | /// } |
| 794 | /// } |
| 795 | /// |
| 796 | /// let mut point = Point { x: 3, y: 3 }; |
| 797 | /// point -= Point { x: 2, y: 3 }; |
| 798 | /// assert_eq!(point, Point {x: 1, y: 0}); |
| 799 | /// ``` |
| 800 | #[lang = "sub_assign" ] |
| 801 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 802 | #[diagnostic::on_unimplemented( |
| 803 | message = "cannot subtract-assign `{Rhs}` from `{Self}`" , |
| 804 | label = "no implementation for `{Self} -= {Rhs}`" |
| 805 | )] |
| 806 | #[doc (alias = "-" )] |
| 807 | #[doc (alias = "-=" )] |
| 808 | pub trait SubAssign<Rhs = Self> { |
| 809 | /// Performs the `-=` operation. |
| 810 | /// |
| 811 | /// # Example |
| 812 | /// |
| 813 | /// ``` |
| 814 | /// let mut x: u32 = 12; |
| 815 | /// x -= 1; |
| 816 | /// assert_eq!(x, 11); |
| 817 | /// ``` |
| 818 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 819 | fn sub_assign(&mut self, rhs: Rhs); |
| 820 | } |
| 821 | |
| 822 | macro_rules! sub_assign_impl { |
| 823 | ($($t:ty)+) => ($( |
| 824 | #[stable(feature = "op_assign_traits" , since = "1.8.0" )] |
| 825 | impl SubAssign for $t { |
| 826 | #[inline] |
| 827 | #[track_caller] |
| 828 | #[rustc_inherit_overflow_checks] |
| 829 | fn sub_assign(&mut self, other: $t) { *self -= other } |
| 830 | } |
| 831 | |
| 832 | forward_ref_op_assign! { impl SubAssign, sub_assign for $t, $t } |
| 833 | )+) |
| 834 | } |
| 835 | |
| 836 | sub_assign_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 837 | |
| 838 | /// The multiplication assignment operator `*=`. |
| 839 | /// |
| 840 | /// # Examples |
| 841 | /// |
| 842 | /// ``` |
| 843 | /// use std::ops::MulAssign; |
| 844 | /// |
| 845 | /// #[derive(Debug, PartialEq)] |
| 846 | /// struct Frequency { hertz: f64 } |
| 847 | /// |
| 848 | /// impl MulAssign<f64> for Frequency { |
| 849 | /// fn mul_assign(&mut self, rhs: f64) { |
| 850 | /// self.hertz *= rhs; |
| 851 | /// } |
| 852 | /// } |
| 853 | /// |
| 854 | /// let mut frequency = Frequency { hertz: 50.0 }; |
| 855 | /// frequency *= 4.0; |
| 856 | /// assert_eq!(Frequency { hertz: 200.0 }, frequency); |
| 857 | /// ``` |
| 858 | #[lang = "mul_assign" ] |
| 859 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 860 | #[diagnostic::on_unimplemented( |
| 861 | message = "cannot multiply-assign `{Self}` by `{Rhs}`" , |
| 862 | label = "no implementation for `{Self} *= {Rhs}`" |
| 863 | )] |
| 864 | #[doc (alias = "*" )] |
| 865 | #[doc (alias = "*=" )] |
| 866 | pub trait MulAssign<Rhs = Self> { |
| 867 | /// Performs the `*=` operation. |
| 868 | /// |
| 869 | /// # Example |
| 870 | /// |
| 871 | /// ``` |
| 872 | /// let mut x: u32 = 12; |
| 873 | /// x *= 2; |
| 874 | /// assert_eq!(x, 24); |
| 875 | /// ``` |
| 876 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 877 | fn mul_assign(&mut self, rhs: Rhs); |
| 878 | } |
| 879 | |
| 880 | macro_rules! mul_assign_impl { |
| 881 | ($($t:ty)+) => ($( |
| 882 | #[stable(feature = "op_assign_traits" , since = "1.8.0" )] |
| 883 | impl MulAssign for $t { |
| 884 | #[inline] |
| 885 | #[track_caller] |
| 886 | #[rustc_inherit_overflow_checks] |
| 887 | fn mul_assign(&mut self, other: $t) { *self *= other } |
| 888 | } |
| 889 | |
| 890 | forward_ref_op_assign! { impl MulAssign, mul_assign for $t, $t } |
| 891 | )+) |
| 892 | } |
| 893 | |
| 894 | mul_assign_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 895 | |
| 896 | /// The division assignment operator `/=`. |
| 897 | /// |
| 898 | /// # Examples |
| 899 | /// |
| 900 | /// ``` |
| 901 | /// use std::ops::DivAssign; |
| 902 | /// |
| 903 | /// #[derive(Debug, PartialEq)] |
| 904 | /// struct Frequency { hertz: f64 } |
| 905 | /// |
| 906 | /// impl DivAssign<f64> for Frequency { |
| 907 | /// fn div_assign(&mut self, rhs: f64) { |
| 908 | /// self.hertz /= rhs; |
| 909 | /// } |
| 910 | /// } |
| 911 | /// |
| 912 | /// let mut frequency = Frequency { hertz: 200.0 }; |
| 913 | /// frequency /= 4.0; |
| 914 | /// assert_eq!(Frequency { hertz: 50.0 }, frequency); |
| 915 | /// ``` |
| 916 | #[lang = "div_assign" ] |
| 917 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 918 | #[diagnostic::on_unimplemented( |
| 919 | message = "cannot divide-assign `{Self}` by `{Rhs}`" , |
| 920 | label = "no implementation for `{Self} /= {Rhs}`" |
| 921 | )] |
| 922 | #[doc (alias = "/" )] |
| 923 | #[doc (alias = "/=" )] |
| 924 | pub trait DivAssign<Rhs = Self> { |
| 925 | /// Performs the `/=` operation. |
| 926 | /// |
| 927 | /// # Example |
| 928 | /// |
| 929 | /// ``` |
| 930 | /// let mut x: u32 = 12; |
| 931 | /// x /= 2; |
| 932 | /// assert_eq!(x, 6); |
| 933 | /// ``` |
| 934 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 935 | fn div_assign(&mut self, rhs: Rhs); |
| 936 | } |
| 937 | |
| 938 | macro_rules! div_assign_impl { |
| 939 | ($($t:ty)+) => ($( |
| 940 | #[stable(feature = "op_assign_traits" , since = "1.8.0" )] |
| 941 | impl DivAssign for $t { |
| 942 | #[inline] |
| 943 | #[track_caller] |
| 944 | fn div_assign(&mut self, other: $t) { *self /= other } |
| 945 | } |
| 946 | |
| 947 | forward_ref_op_assign! { impl DivAssign, div_assign for $t, $t } |
| 948 | )+) |
| 949 | } |
| 950 | |
| 951 | div_assign_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 952 | |
| 953 | /// The remainder assignment operator `%=`. |
| 954 | /// |
| 955 | /// # Examples |
| 956 | /// |
| 957 | /// ``` |
| 958 | /// use std::ops::RemAssign; |
| 959 | /// |
| 960 | /// struct CookieJar { cookies: u32 } |
| 961 | /// |
| 962 | /// impl RemAssign<u32> for CookieJar { |
| 963 | /// fn rem_assign(&mut self, piles: u32) { |
| 964 | /// self.cookies %= piles; |
| 965 | /// } |
| 966 | /// } |
| 967 | /// |
| 968 | /// let mut jar = CookieJar { cookies: 31 }; |
| 969 | /// let piles = 4; |
| 970 | /// |
| 971 | /// println!("Splitting up {} cookies into {} even piles!" , jar.cookies, piles); |
| 972 | /// |
| 973 | /// jar %= piles; |
| 974 | /// |
| 975 | /// println!("{} cookies remain in the cookie jar!" , jar.cookies); |
| 976 | /// ``` |
| 977 | #[lang = "rem_assign" ] |
| 978 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 979 | #[diagnostic::on_unimplemented( |
| 980 | message = "cannot calculate and assign the remainder of `{Self}` divided by `{Rhs}`" , |
| 981 | label = "no implementation for `{Self} %= {Rhs}`" |
| 982 | )] |
| 983 | #[doc (alias = "%" )] |
| 984 | #[doc (alias = "%=" )] |
| 985 | pub trait RemAssign<Rhs = Self> { |
| 986 | /// Performs the `%=` operation. |
| 987 | /// |
| 988 | /// # Example |
| 989 | /// |
| 990 | /// ``` |
| 991 | /// let mut x: u32 = 12; |
| 992 | /// x %= 10; |
| 993 | /// assert_eq!(x, 2); |
| 994 | /// ``` |
| 995 | #[stable (feature = "op_assign_traits" , since = "1.8.0" )] |
| 996 | fn rem_assign(&mut self, rhs: Rhs); |
| 997 | } |
| 998 | |
| 999 | macro_rules! rem_assign_impl { |
| 1000 | ($($t:ty)+) => ($( |
| 1001 | #[stable(feature = "op_assign_traits" , since = "1.8.0" )] |
| 1002 | impl RemAssign for $t { |
| 1003 | #[inline] |
| 1004 | #[track_caller] |
| 1005 | fn rem_assign(&mut self, other: $t) { *self %= other } |
| 1006 | } |
| 1007 | |
| 1008 | forward_ref_op_assign! { impl RemAssign, rem_assign for $t, $t } |
| 1009 | )+) |
| 1010 | } |
| 1011 | |
| 1012 | rem_assign_impl! { usize u8 u16 u32 u64 u128 isize i8 i16 i32 i64 i128 f16 f32 f64 f128 } |
| 1013 | |