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Fix atan2 inaccuracy in documentation #146451

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Merged
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Oct 4, 2025
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Fix atan2 inaccuracy in documentation #146451

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10 changes: 6 additions & 4 deletions library/std/src/num/f128.rs
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Expand Up @@ -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
///
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10 changes: 6 additions & 4 deletions library/std/src/num/f16.rs
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Expand Up @@ -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
///
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10 changes: 6 additions & 4 deletions library/std/src/num/f32.rs
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Expand Up @@ -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
///
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10 changes: 6 additions & 4 deletions library/std/src/num/f64.rs
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Expand Up @@ -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
///
Expand Down
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