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authorMatthew Woodcraft <matthew@woodcraft.me.uk>2022-04-16 21:58:36 +0100
committerMatthew Woodcraft <matthew@woodcraft.me.uk>2022-04-16 21:58:36 +0100
commit6fa061c5f96120e631678e3f449566f786397014 (patch)
treefcdd5c2c4cd2e3edd85b1cb26cdc906bfd553c0d
parent2fa9789f596dd7639e1a242d466637b53179f4d1 (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.rs13
-rw-r--r--library/std/src/primitive_docs.rs13
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).*