diff options
| -rw-r--r-- | library/std/src/num/f128.rs | 10 | ||||
| -rw-r--r-- | library/std/src/num/f16.rs | 10 | ||||
| -rw-r--r-- | library/std/src/num/f32.rs | 10 | ||||
| -rw-r--r-- | library/std/src/num/f64.rs | 10 |
4 files changed, 24 insertions, 16 deletions
diff --git a/library/std/src/num/f128.rs b/library/std/src/num/f128.rs index b83692390b6..5a85c1daaf0 100644 --- a/library/std/src/num/f128.rs +++ b/library/std/src/num/f128.rs @@ -557,10 +557,12 @@ impl f128 { /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians. /// - /// * `x = 0`, `y = 0`: `0` - /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]` - /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]` - /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)` + /// | `x` | `y` | Piecewise Definition | Range | + /// |---------|---------|----------------------|---------------| + /// | `>= +0` | `>= +0` | `arctan(y/x)` | `[+0, +pi/2]` | + /// | `>= +0` | `<= -0` | `arctan(y/x)` | `[-pi/2, -0]` | + /// | `<= -0` | `>= +0` | `arctan(y/x) + pi` | `[+pi/2, +pi]`| + /// | `<= -0` | `<= -0` | `arctan(y/x) - pi` | `[-pi, -pi/2]`| /// /// # Unspecified precision /// diff --git a/library/std/src/num/f16.rs b/library/std/src/num/f16.rs index 5599528717c..cc10c41b9e7 100644 --- a/library/std/src/num/f16.rs +++ b/library/std/src/num/f16.rs @@ -522,10 +522,12 @@ impl f16 { /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians. /// - /// * `x = 0`, `y = 0`: `0` - /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]` - /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]` - /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)` + /// | `x` | `y` | Piecewise Definition | Range | + /// |---------|---------|----------------------|---------------| + /// | `>= +0` | `>= +0` | `arctan(y/x)` | `[+0, +pi/2]` | + /// | `>= +0` | `<= -0` | `arctan(y/x)` | `[-pi/2, -0]` | + /// | `<= -0` | `>= +0` | `arctan(y/x) + pi` | `[+pi/2, +pi]`| + /// | `<= -0` | `<= -0` | `arctan(y/x) - pi` | `[-pi, -pi/2]`| /// /// # Unspecified precision /// diff --git a/library/std/src/num/f32.rs b/library/std/src/num/f32.rs index 0247080a8d6..72e5f4d4c41 100644 --- a/library/std/src/num/f32.rs +++ b/library/std/src/num/f32.rs @@ -826,10 +826,12 @@ impl f32 { /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians. /// - /// * `x = 0`, `y = 0`: `0` - /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]` - /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]` - /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)` + /// | `x` | `y` | Piecewise Definition | Range | + /// |---------|---------|----------------------|---------------| + /// | `>= +0` | `>= +0` | `arctan(y/x)` | `[+0, +pi/2]` | + /// | `>= +0` | `<= -0` | `arctan(y/x)` | `[-pi/2, -0]` | + /// | `<= -0` | `>= +0` | `arctan(y/x) + pi` | `[+pi/2, +pi]`| + /// | `<= -0` | `<= -0` | `arctan(y/x) - pi` | `[-pi, -pi/2]`| /// /// # Unspecified precision /// diff --git a/library/std/src/num/f64.rs b/library/std/src/num/f64.rs index 1cfd3909d96..5f3e793c3a7 100644 --- a/library/std/src/num/f64.rs +++ b/library/std/src/num/f64.rs @@ -826,10 +826,12 @@ impl f64 { /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians. /// - /// * `x = 0`, `y = 0`: `0` - /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]` - /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]` - /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)` + /// | `x` | `y` | Piecewise Definition | Range | + /// |---------|---------|----------------------|---------------| + /// | `>= +0` | `>= +0` | `arctan(y/x)` | `[+0, +pi/2]` | + /// | `>= +0` | `<= -0` | `arctan(y/x)` | `[-pi/2, -0]` | + /// | `<= -0` | `>= +0` | `arctan(y/x) + pi` | `[+pi/2, +pi]`| + /// | `<= -0` | `<= -0` | `arctan(y/x) - pi` | `[-pi, -pi/2]`| /// /// # Unspecified precision /// |