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-rw-r--r--src/cast.rs76
-rw-r--r--src/lib.rs14
-rw-r--r--src/ops/mod.rs1
-rw-r--r--src/ops/overflowing.rs104
-rw-r--r--src/sign.rs13
5 files changed, 172 insertions, 36 deletions
diff --git a/src/cast.rs b/src/cast.rs
index b33f1a1..d38c338 100644
--- a/src/cast.rs
+++ b/src/cast.rs
@@ -6,9 +6,16 @@ use core::{i128, u128};
use core::{i16, i32, i64, i8, isize};
use core::{u16, u32, u64, u8, usize};
-use float::FloatCore;
-
/// A generic trait for converting a value to a number.
+///
+/// A value can be represented by the target type when it lies within
+/// the range of scalars supported by the target type.
+/// For example, a negative integer cannot be represented by an unsigned
+/// integer type, and an `i64` with a very high magnitude might not be
+/// convertible to an `i32`.
+/// On the other hand, conversions with possible precision loss or truncation
+/// are admitted, like an `f32` with a decimal part to an integer type, or
+/// even a large `f64` saturating to `f32` infinity.
pub trait ToPrimitive {
/// Converts the value of `self` to an `isize`. If the value cannot be
/// represented by an `isize`, then `None` is returned.
@@ -94,7 +101,7 @@ pub trait ToPrimitive {
///
/// This method is only available with feature `i128` enabled on Rust >= 1.26.
///
- /// The default implementation converts through `to_u64()`. Types implementing
+ /// The default implementation converts through `to_u64()`. Types implementing
/// this trait should override this method if they can represent a greater range.
#[inline]
#[cfg(has_i128)]
@@ -102,15 +109,21 @@ pub trait ToPrimitive {
self.to_u64().map(From::from)
}
- /// Converts the value of `self` to an `f32`. If the value cannot be
- /// represented by an `f32`, then `None` is returned.
+ /// Converts the value of `self` to an `f32`. Overflows may map to positive
+ /// or negative inifinity, otherwise `None` is returned if the value cannot
+ /// be represented by an `f32`.
#[inline]
fn to_f32(&self) -> Option<f32> {
self.to_f64().as_ref().and_then(ToPrimitive::to_f32)
}
- /// Converts the value of `self` to an `f64`. If the value cannot be
- /// represented by an `f64`, then `None` is returned.
+ /// Converts the value of `self` to an `f64`. Overflows may map to positive
+ /// or negative inifinity, otherwise `None` is returned if the value cannot
+ /// be represented by an `f64`.
+ ///
+ /// The default implementation tries to convert through `to_i64()`, and
+ /// failing that through `to_u64()`. Types implementing this trait should
+ /// override this method if they can represent a greater range.
#[inline]
fn to_f64(&self) -> Option<f64> {
match self.to_i64() {
@@ -271,14 +284,8 @@ macro_rules! impl_to_primitive_float_to_float {
($SrcT:ident : $( fn $method:ident -> $DstT:ident ; )*) => {$(
#[inline]
fn $method(&self) -> Option<$DstT> {
- // Only finite values that are reducing size need to worry about overflow.
- if size_of::<$SrcT>() > size_of::<$DstT>() && FloatCore::is_finite(*self) {
- let n = *self as f64;
- if n < $DstT::MIN as f64 || n > $DstT::MAX as f64 {
- return None;
- }
- }
- // We can safely cast NaN, +-inf, and finite values in range.
+ // We can safely cast all values, whether NaN, +-inf, or finite.
+ // Finite values that are reducing size may saturate to +-inf.
Some(*self as $DstT)
}
)*}
@@ -392,6 +399,15 @@ impl_to_primitive_float!(f32);
impl_to_primitive_float!(f64);
/// A generic trait for converting a number to a value.
+///
+/// A value can be represented by the target type when it lies within
+/// the range of scalars supported by the target type.
+/// For example, a negative integer cannot be represented by an unsigned
+/// integer type, and an `i64` with a very high magnitude might not be
+/// convertible to an `i32`.
+/// On the other hand, conversions with possible precision loss or truncation
+/// are admitted, like an `f32` with a decimal part to an integer type, or
+/// even a large `f64` saturating to `f32` infinity.
pub trait FromPrimitive: Sized {
/// Converts an `isize` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
@@ -492,6 +508,10 @@ pub trait FromPrimitive: Sized {
/// Converts a `f64` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
+ ///
+ /// The default implementation tries to convert through `from_i64()`, and
+ /// failing that through `from_u64()`. Types implementing this trait should
+ /// override this method if they can represent a greater range.
#[inline]
fn from_f64(n: f64) -> Option<Self> {
match n.to_i64() {
@@ -672,6 +692,15 @@ pub trait NumCast: Sized + ToPrimitive {
/// Creates a number from another value that can be converted into
/// a primitive via the `ToPrimitive` trait. If the source value cannot be
/// represented by the target type, then `None` is returned.
+ ///
+ /// A value can be represented by the target type when it lies within
+ /// the range of scalars supported by the target type.
+ /// For example, a negative integer cannot be represented by an unsigned
+ /// integer type, and an `i64` with a very high magnitude might not be
+ /// convertible to an `i32`.
+ /// On the other hand, conversions with possible precision loss or truncation
+ /// are admitted, like an `f32` with a decimal part to an integer type, or
+ /// even a large `f64` saturating to `f32` infinity.
fn from<T: ToPrimitive>(n: T) -> Option<Self>;
}
@@ -728,25 +757,16 @@ impl<T: NumCast> NumCast for Wrapping<T> {
///
/// # Safety
///
-/// Currently, some uses of the `as` operator are not entirely safe.
-/// In particular, it is undefined behavior if:
-///
-/// - A truncated floating point value cannot fit in the target integer
-/// type ([#10184](https://github.com/rust-lang/rust/issues/10184));
+/// **In Rust versions before 1.45.0**, some uses of the `as` operator were not entirely safe.
+/// In particular, it was undefined behavior if
+/// a truncated floating point value could not fit in the target integer
+/// type ([#10184](https://github.com/rust-lang/rust/issues/10184)).
///
/// ```ignore
/// # use num_traits::AsPrimitive;
/// let x: u8 = (1.04E+17).as_(); // UB
/// ```
///
-/// - Or a floating point value does not fit in another floating
-/// point type ([#15536](https://github.com/rust-lang/rust/issues/15536)).
-///
-/// ```ignore
-/// # use num_traits::AsPrimitive;
-/// let x: f32 = (1e300f64).as_(); // UB
-/// ```
-///
pub trait AsPrimitive<T>: 'static + Copy
where
T: 'static + Copy,
diff --git a/src/lib.rs b/src/lib.rs
index d998946..a6c202c 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -67,7 +67,7 @@ pub mod sign;
pub trait Num: PartialEq + Zero + One + NumOps {
type FromStrRadixErr;
- /// Convert from a string and radix <= 36.
+ /// Convert from a string and radix (typically `2..=36`).
///
/// # Examples
///
@@ -80,6 +80,18 @@ pub trait Num: PartialEq + Zero + One + NumOps {
/// let result = <i32 as Num>::from_str_radix("foo", 10);
/// assert!(result.is_err());
/// ```
+ ///
+ /// # Supported radices
+ ///
+ /// The exact range of supported radices is at the discretion of each type implementation. For
+ /// primitive integers, this is implemented by the inherent `from_str_radix` methods in the
+ /// standard library, which **panic** if the radix is not in the range from 2 to 36. The
+ /// implementation in this crate for primitive floats is similar.
+ ///
+ /// For third-party types, it is suggested that implementations should follow suit and at least
+ /// accept `2..=36` without panicking, but an `Err` may be returned for any unsupported radix.
+ /// It's possible that a type might not even support the common radix 10, nor any, if string
+ /// parsing doesn't make sense for that type.
fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>;
}
diff --git a/src/ops/mod.rs b/src/ops/mod.rs
index fd1695d..73c4f90 100644
--- a/src/ops/mod.rs
+++ b/src/ops/mod.rs
@@ -1,5 +1,6 @@
pub mod checked;
pub mod inv;
pub mod mul_add;
+pub mod overflowing;
pub mod saturating;
pub mod wrapping;
diff --git a/src/ops/overflowing.rs b/src/ops/overflowing.rs
new file mode 100644
index 0000000..56118a0
--- /dev/null
+++ b/src/ops/overflowing.rs
@@ -0,0 +1,104 @@
+use core::ops::{Add, Mul, Sub};
+#[cfg(has_i128)]
+use core::{i128, u128};
+use core::{i16, i32, i64, i8, isize};
+use core::{u16, u32, u64, u8, usize};
+
+macro_rules! overflowing_impl {
+ ($trait_name:ident, $method:ident, $t:ty) => {
+ impl $trait_name for $t {
+ #[inline]
+ fn $method(&self, v: &Self) -> (Self, bool) {
+ <$t>::$method(*self, *v)
+ }
+ }
+ };
+}
+
+/// Performs addition with a flag for overflow.
+pub trait OverflowingAdd: Sized + Add<Self, Output = Self> {
+ /// Returns a tuple of the sum along with a boolean indicating whether an arithmetic overflow would occur.
+ /// If an overflow would have occurred then the wrapped value is returned.
+ fn overflowing_add(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingAdd, overflowing_add, u8);
+overflowing_impl!(OverflowingAdd, overflowing_add, u16);
+overflowing_impl!(OverflowingAdd, overflowing_add, u32);
+overflowing_impl!(OverflowingAdd, overflowing_add, u64);
+overflowing_impl!(OverflowingAdd, overflowing_add, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingAdd, overflowing_add, u128);
+
+overflowing_impl!(OverflowingAdd, overflowing_add, i8);
+overflowing_impl!(OverflowingAdd, overflowing_add, i16);
+overflowing_impl!(OverflowingAdd, overflowing_add, i32);
+overflowing_impl!(OverflowingAdd, overflowing_add, i64);
+overflowing_impl!(OverflowingAdd, overflowing_add, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingAdd, overflowing_add, i128);
+
+/// Performs substraction with a flag for overflow.
+pub trait OverflowingSub: Sized + Sub<Self, Output = Self> {
+ /// Returns a tuple of the difference along with a boolean indicating whether an arithmetic overflow would occur.
+ /// If an overflow would have occurred then the wrapped value is returned.
+ fn overflowing_sub(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingSub, overflowing_sub, u8);
+overflowing_impl!(OverflowingSub, overflowing_sub, u16);
+overflowing_impl!(OverflowingSub, overflowing_sub, u32);
+overflowing_impl!(OverflowingSub, overflowing_sub, u64);
+overflowing_impl!(OverflowingSub, overflowing_sub, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingSub, overflowing_sub, u128);
+
+overflowing_impl!(OverflowingSub, overflowing_sub, i8);
+overflowing_impl!(OverflowingSub, overflowing_sub, i16);
+overflowing_impl!(OverflowingSub, overflowing_sub, i32);
+overflowing_impl!(OverflowingSub, overflowing_sub, i64);
+overflowing_impl!(OverflowingSub, overflowing_sub, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingSub, overflowing_sub, i128);
+
+/// Performs multiplication with a flag for overflow.
+pub trait OverflowingMul: Sized + Mul<Self, Output = Self> {
+ /// Returns a tuple of the product along with a boolean indicating whether an arithmetic overflow would occur.
+ /// If an overflow would have occurred then the wrapped value is returned.
+ fn overflowing_mul(&self, v: &Self) -> (Self, bool);
+}
+
+overflowing_impl!(OverflowingMul, overflowing_mul, u8);
+overflowing_impl!(OverflowingMul, overflowing_mul, u16);
+overflowing_impl!(OverflowingMul, overflowing_mul, u32);
+overflowing_impl!(OverflowingMul, overflowing_mul, u64);
+overflowing_impl!(OverflowingMul, overflowing_mul, usize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingMul, overflowing_mul, u128);
+
+overflowing_impl!(OverflowingMul, overflowing_mul, i8);
+overflowing_impl!(OverflowingMul, overflowing_mul, i16);
+overflowing_impl!(OverflowingMul, overflowing_mul, i32);
+overflowing_impl!(OverflowingMul, overflowing_mul, i64);
+overflowing_impl!(OverflowingMul, overflowing_mul, isize);
+#[cfg(has_i128)]
+overflowing_impl!(OverflowingMul, overflowing_mul, i128);
+
+#[test]
+fn test_overflowing_traits() {
+ fn overflowing_add<T: OverflowingAdd>(a: T, b: T) -> (T, bool) {
+ a.overflowing_add(&b)
+ }
+ fn overflowing_sub<T: OverflowingSub>(a: T, b: T) -> (T, bool) {
+ a.overflowing_sub(&b)
+ }
+ fn overflowing_mul<T: OverflowingMul>(a: T, b: T) -> (T, bool) {
+ a.overflowing_mul(&b)
+ }
+ assert_eq!(overflowing_add(5i16, 2), (7, false));
+ assert_eq!(overflowing_add(i16::MAX, 1), (i16::MIN, true));
+ assert_eq!(overflowing_sub(5i16, 2), (3, false));
+ assert_eq!(overflowing_sub(i16::MIN, 1), (i16::MAX, true));
+ assert_eq!(overflowing_mul(5i16, 2), (10, false));
+ assert_eq!(overflowing_mul(1_000_000_000i32, 10), (1410065408, true));
+}
diff --git a/src/sign.rs b/src/sign.rs
index 26d44c5..5c32071 100644
--- a/src/sign.rs
+++ b/src/sign.rs
@@ -213,13 +213,12 @@ fn unsigned_wrapping_is_unsigned() {
fn require_unsigned<T: Unsigned>(_: &T) {}
require_unsigned(&Wrapping(42_u32));
}
-/*
+
// Commenting this out since it doesn't compile on Rust 1.8,
// because on this version Wrapping doesn't implement Neg and therefore can't
// implement Signed.
-#[test]
-fn signed_wrapping_is_signed() {
- fn require_signed<T: Signed>(_: &T) {}
- require_signed(&Wrapping(-42));
-}
-*/
+// #[test]
+// fn signed_wrapping_is_signed() {
+// fn require_signed<T: Signed>(_: &T) {}
+// require_signed(&Wrapping(-42));
+// }