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| author | Matthew Woodcraft <matthew@woodcraft.me.uk> | 2022-04-16 21:58:36 +0100 |
|---|---|---|
| committer | Matthew Woodcraft <matthew@woodcraft.me.uk> | 2022-04-16 21:58:36 +0100 |
| commit | 6fa061c5f96120e631678e3f449566f786397014 (patch) | |
| tree | fcdd5c2c4cd2e3edd85b1cb26cdc906bfd553c0d | |
| parent | 2fa9789f596dd7639e1a242d466637b53179f4d1 (diff) | |
Document rounding for floating-point primitive operations
State that the four primitive operations honour IEEE 754 roundTiesToEven. Documenting under "Primitive Type f32"; f64 refers to that.
| -rw-r--r-- | library/core/src/primitive_docs.rs | 13 | ||||
| -rw-r--r-- | library/std/src/primitive_docs.rs | 13 |
2 files changed, 26 insertions, 0 deletions
diff --git a/library/core/src/primitive_docs.rs b/library/core/src/primitive_docs.rs index 225a679efd2..2d4d773dcad 100644 --- a/library/core/src/primitive_docs.rs +++ b/library/core/src/primitive_docs.rs @@ -982,6 +982,19 @@ mod prim_tuple {} /// it is considered infectious as almost all calculations where one of the /// operands is NaN will also result in NaN. /// +/// When the number resulting from a primitive operation (addition, +/// subtraction, multiplication, or division) on this type is not exactly +/// representable as `f32`, it is rounded according to the roundTiesToEven +/// direction defined in IEEE 754-2008. That means: +/// +/// - The result is the representable value closest to the true value, if there +/// is a unique closest representable value. +/// - If the true value is exactly half-way between two representable values, +/// the result is the one with an even least-significant binary digit. +/// - If the true value's magnitude is ≥ `f32::MAX` + 2<sup>(`f32::MAX_EXP` − +/// `f32::MANTISSA_DIGITS` − 1)</sup>, the result is ∞ or −∞ (preserving the +/// true value's sign). +/// /// For more information on floating point numbers, see [Wikipedia][wikipedia]. /// /// *[See also the `std::f32::consts` module](crate::f32::consts).* diff --git a/library/std/src/primitive_docs.rs b/library/std/src/primitive_docs.rs index 225a679efd2..2d4d773dcad 100644 --- a/library/std/src/primitive_docs.rs +++ b/library/std/src/primitive_docs.rs @@ -982,6 +982,19 @@ mod prim_tuple {} /// it is considered infectious as almost all calculations where one of the /// operands is NaN will also result in NaN. /// +/// When the number resulting from a primitive operation (addition, +/// subtraction, multiplication, or division) on this type is not exactly +/// representable as `f32`, it is rounded according to the roundTiesToEven +/// direction defined in IEEE 754-2008. That means: +/// +/// - The result is the representable value closest to the true value, if there +/// is a unique closest representable value. +/// - If the true value is exactly half-way between two representable values, +/// the result is the one with an even least-significant binary digit. +/// - If the true value's magnitude is ≥ `f32::MAX` + 2<sup>(`f32::MAX_EXP` − +/// `f32::MANTISSA_DIGITS` − 1)</sup>, the result is ∞ or −∞ (preserving the +/// true value's sign). +/// /// For more information on floating point numbers, see [Wikipedia][wikipedia]. /// /// *[See also the `std::f32::consts` module](crate::f32::consts).* |
